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    \textbf{SWC204-1.p} cond\_pst\_not\_nil\_ne\_x\_head2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{tl}(\mbox{sk}_4) = b\mbox{ and }\mbox{app}(\mbox{sk}_3,b) = a\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4) ) \ \Rightarrow \ ( \mbox{sk}_4 = a\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil}) )\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_1,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{tl}(\mbox{sk}_4) = b\mbox{ and }\mbox{app}(\mbox{sk}_3,b) = a\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4)\mbox{ and }\mbox{neq}(\mbox{sk}_4,\mbox{nil}) ) \ \Rightarrow \ \mbox{sk}_4 = a\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_1,\mbox{nil}) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC036-1.p} cond\_id\_nil\_x\_id\_nil

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

\medskip\textbf{SWC251-1.p} cond\_pst\_pivoted3\_x\_run\_strict\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{lt}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{sk}_3),\mbox{sk}_7) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_6\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(\mbox{cons}(c,\mbox{nil}),d) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(a,c)\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_7\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

\medskip\textbf{SWC251+1.p} cond\_pst\_pivoted3\_x\_run\_strict\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = u\mbox{ and }\forall x_2{:}\;( \neg\,\mbox{ssItem}(x_2)\mbox{ or }\neg\,\mbox{memberP}(z,x_2)\mbox{ or }\neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\neg\,\mbox{lt}(y,x_2)\mbox{ or }\mbox{leq}(y,x_2) ) ) ) )\mbox{ or }\forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \neg\,\mbox{ssList}(x_4)\mbox{ or }\mbox{app}(\mbox{app}(x_3,w),x_4)\ne x\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists x_5{:}\;( \mbox{ssItem}(x_5)\mbox{ and }\exists x_6{:}\;( \mbox{ssList}(x_6)\mbox{ and }\mbox{app}(x_6,\mbox{cons}(x_5,\mbox{nil})) = x_3\mbox{ and }\exists x_7{:}\;( \mbox{ssItem}(x_7)\mbox{ and }\exists x_8{:}\;( \mbox{ssList}(x_8)\mbox{ and }\mbox{app}(\mbox{cons}(x_7,\mbox{nil}),x_8) = w\mbox{ and }\mbox{lt}(x_5,x_7) ) ) ) )\mbox{ or }\exists x_9{:}\;( \mbox{ssItem}(x_9)\mbox{ and }\exists x_{10}{:}\;( \mbox{ssList}(x_{10})\mbox{ and }\mbox{app}(\mbox{cons}(x_9,\mbox{nil}),x_{10}) = x_4\mbox{ and }\exists x_{11}{:}\;( \mbox{ssItem}(x_{11})\mbox{ and }\exists x_{12}{:}\;( \mbox{ssList}(x_{12})\mbox{ and }\mbox{app}(x_{12},\mbox{cons}(x_{11},\mbox{nil})) = w\mbox{ and }\mbox{lt}(x_{11},x_9) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC318+1.p} cond\_rot\_r2\_x\_rot\_r\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{app}(\mbox{cons}(y,\mbox{nil}),z) = u\mbox{ and }\mbox{app}(z,\mbox{cons}(y,\mbox{nil})) = v ) )\mbox{ or }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(\mbox{cons}(x_1,\mbox{nil}),x_2)\ne w\mbox{ and }\mbox{app}(x_2,\mbox{cons}(x_1,\mbox{nil})) = x ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC326-1.p} cond\_run\_eq\_front2\_x\_run\_eq\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{frontsegP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{equalelemsP}(a)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{equalelemsP}(\mbox{sk}_1) ) \ \Rightarrow \ ( \mbox{ssItem}(\mbox{sk}_5(a))\mbox{ or }\mbox{nil} = \mbox{sk}_1 )\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{equalelemsP}(\mbox{sk}_1)\mbox{ and }\mbox{nil} = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{equalelemsP}(\mbox{sk}_1) ) \ \Rightarrow \ ( \mbox{ssList}(\mbox{sk}_6(a))\mbox{ or }\mbox{nil} = \mbox{sk}_1 )\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{equalelemsP}(\mbox{sk}_1) ) \ \Rightarrow \ ( \mbox{app}(\mbox{cons}(\mbox{sk}_5(a),\mbox{nil}),\mbox{sk}_6(a)) = a\mbox{ or }\mbox{nil} = \mbox{sk}_1 )\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{equalelemsP}(\mbox{sk}_1) ) \ \Rightarrow \ ( \mbox{ssList}(\mbox{sk}_7(a))\mbox{ or }\mbox{nil} = \mbox{sk}_1 )\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{equalelemsP}(\mbox{sk}_1) ) \ \Rightarrow \ ( \mbox{app}(\mbox{sk}_7(a),\mbox{cons}(\mbox{sk}_5(a),\mbox{nil})) = \mbox{sk}_1\mbox{ or }\mbox{nil} = \mbox{sk}_1 )\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{equalelemsP}(\mbox{sk}_1)\mbox{ and }\mbox{nil} = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_6(a))\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{equalelemsP}(\mbox{sk}_1)\mbox{ and }\mbox{nil} = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{app}(\mbox{cons}(\mbox{sk}_5(a),\mbox{nil}),\mbox{sk}_6(a)) = a\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{equalelemsP}(\mbox{sk}_1)\mbox{ and }\mbox{nil} = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_7(a))\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{equalelemsP}(\mbox{sk}_1)\mbox{ and }\mbox{nil} = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{app}(\mbox{sk}_7(a),\mbox{cons}(\mbox{sk}_5(a),\mbox{nil})) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

\medskip\textbf{SWC038+1.p} cond\_id\_nil\_x\_ne\_segment\_front\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( \mbox{nil}\ne v\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }( ( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w )\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\neg\,\mbox{frontsegP}(x,w) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC205+1.p} cond\_pst\_not\_nil\_ne\_x\_id\_nil\_iff

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(u,\mbox{nil})\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC198-1.p} cond\_pst\_equal3\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(a) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(a))\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(a) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_1,\mbox{sk}_5(a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(a) \ \Rightarrow \ a\ne \mbox{sk}_5(a)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_6,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_6,a) ) \ \Rightarrow \ ( \mbox{sk}_6 = a\mbox{ or }\mbox{nil} = \mbox{sk}_4 )\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_6,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_6,a) ) \ \Rightarrow \ ( \mbox{sk}_6 = a\mbox{ or }\mbox{nil} = \mbox{sk}_3 )\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

\medskip\textbf{SWC367+1.p} cond\_segment\_rear\_x\_ne\_segment\_rear\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{rearsegP}(v,u)\mbox{ or }( ( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w )\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\neg\,\mbox{rearsegP}(x,w) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC242-1.p} cond\_pst\_pivoted3\_x\_pst\_pivoted3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{lt}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_8) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_7,a)\mbox{ and }\mbox{memberP}(\mbox{sk}_8,a)\mbox{ and }\mbox{lt}(\mbox{sk}_6,a) ) \ \Rightarrow \ ( \mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{leq}(\mbox{sk}_6,a) )\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

\medskip\textbf{SWC363+1.p} cond\_segment\_ne\_x\_some\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{segmentP}(v,u)\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,y) ) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC011-1.p} cond\_filter\_some\_x\_filter\_some

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_2\mbox{ and }\mbox{app}(b,c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_7) = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_6,\mbox{sk}_7) = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_2\mbox{ and }\mbox{app}(b,c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_7) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{sk}_6,\mbox{sk}_7) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

\medskip\textbf{SWC312+1.p} cond\_rot\_l\_total2\_x\_rot\_l\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \neg\,\mbox{ssList}(z)\mbox{ or }\mbox{app}(\mbox{cons}(y,\mbox{nil}),z)\ne x\mbox{ or }\mbox{app}(z,\mbox{cons}(y,\mbox{nil}))\ne w ) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(\mbox{cons}(x_1,\mbox{nil}),x_2) = v\mbox{ and }\mbox{app}(x_2,\mbox{cons}(x_1,\mbox{nil})) = u ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC040+1.p} cond\_id\_nil\_x\_rot\_r\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( \mbox{nil}\ne v\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ ( \mbox{app}(\mbox{cons}(y,\mbox{nil}),z)\ne w\mbox{ or }\mbox{app}(z,\mbox{cons}(y,\mbox{nil}))\ne x ) ) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC155-1.p} cond\_pst\_cyc\_sorted\_x\_pst\_sorted2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_3\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{memberP}(c,d) ) \ \Rightarrow \ \mbox{leq}(a,d)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_3\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{memberP}(b,d) ) \ \Rightarrow \ \mbox{leq}(d,a)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_8),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_9) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_6,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_5,\mbox{sk}_6) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_{10})\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_5,\mbox{sk}_6) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_8,\mbox{sk}_{10})\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$( \mbox{leq}(\mbox{sk}_5,\mbox{sk}_{10})\mbox{ and }\mbox{leq}(\mbox{sk}_{10},\mbox{sk}_6) ) \ \Rightarrow \ \neg\,\mbox{leq}(\mbox{sk}_5,\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

\medskip\textbf{SWC040-1.p} cond\_id\_nil\_x\_rot\_r\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{cons}(\mbox{sk}_5,\mbox{nil}),\mbox{sk}_6) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

\medskip\textbf{SWC397-1.p} cond\_subst\_x\_rot\_r\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\neg\,\mbox{memberP}(\mbox{sk}_2,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{cons}(\mbox{sk}_6,\mbox{nil}),\mbox{sk}_7) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_6,\mbox{nil})) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC114-1.p} cond\_ne\_segment\_total2\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_5,a) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_4 )\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_5,a) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_3 )\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_1,\mbox{nil}) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

\medskip\textbf{SWC347-1.p} cond\_run\_strict\_ord\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) \ \Rightarrow \ \neg\,\mbox{strictorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC135-1.p} cond\_pr\_works\_on\_cycles\_x\_tail2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{cyclefreeP}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

\medskip\textbf{SWC219+1.p} cond\_pst\_pivoted1\_x\_minimal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = u\mbox{ and }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ ( \neg\,\mbox{memberP}(z,x_2)\mbox{ or }\neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\neg\,\mbox{leq}(y,x_2)\mbox{ or }\mbox{leq}(x_2,y) ) ) ) ) )\mbox{ or }( \forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ ( \mbox{cons}(x_3,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,x_3)\mbox{ or }\exists x_4{:}\;( \mbox{ssItem}(x_4)\mbox{ and }x_3\ne x_4\mbox{ and }\mbox{memberP}(x,x_4)\mbox{ and }\mbox{leq}(x_4,x_3) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC104-1.p} cond\_ne\_segment\_front\_x\_run\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{totalorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{leq}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_1,\mbox{nil}) \ \Rightarrow \ \neg\,\mbox{frontsegP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

\medskip\textbf{SWC268+1.p} cond\_pst\_sorted1\_x\_run\_eq\_max1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(w,y)\mbox{ and }\mbox{segmentP}(x,y)\mbox{ and }\mbox{segmentP}(y,w)\mbox{ and }\mbox{equalelemsP}(y) )\mbox{ or }\mbox{totalorderedP}(u) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC291+1.p} cond\_pst\_strict\_sorted1\_x\_run\_strict\_ord\_max1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(w,y)\mbox{ and }\mbox{segmentP}(x,y)\mbox{ and }\mbox{segmentP}(y,w)\mbox{ and }\mbox{strictorderedP}(y) )\mbox{ or }\mbox{strictorderedP}(u) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC009+1.p} cond\_filter\_segment\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(y,z),x_1) = v\mbox{ and }\mbox{app}(y,x_1) = u ) ) )\mbox{ or }\forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ ( \mbox{app}(w,x_2)\ne x\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\exists x_4{:}\;( \mbox{ssList}(x_4)\mbox{ and }\mbox{app}(\mbox{cons}(x_3,\mbox{nil}),x_4) = x_2\mbox{ and }\exists x_5{:}\;( \mbox{ssItem}(x_5)\mbox{ and }\exists x_6{:}\;( \mbox{ssList}(x_6)\mbox{ and }\mbox{app}(x_6,\mbox{cons}(x_5,\mbox{nil})) = w\mbox{ and }\mbox{lt}(x_5,x_3) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC062-1.p} cond\_id\_segment\_total1\_x\_rot\_l\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_4 ) \ \Rightarrow \ \mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_1,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC120+1.p} cond\_ne\_segment\_x\_head2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }x\ne y\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{tl}(x) = z\mbox{ and }\mbox{app}(w,z) = y\mbox{ and }\mbox{neq}(\mbox{nil},x) ) )\mbox{ or }( \mbox{neq}(u,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,u) ) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC144-1.p} cond\_pr\_works\_on\_pairs\_x\_filter\_ne\_segment

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\neg\,\mbox{singletonP}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

\medskip\textbf{SWC060-1.p} cond\_id\_segment\_total1\_x\_ne\_segment\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_1,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC271+1.p} cond\_pst\_sorted1\_x\_run\_strict\_ord\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{frontsegP}(x,w)\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(w,y)\mbox{ and }\mbox{frontsegP}(x,y)\mbox{ and }\mbox{segmentP}(y,w)\mbox{ and }\mbox{strictorderedP}(y) )\mbox{ or }\mbox{totalorderedP}(u) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC089-1.p} cond\_id\_segment\_x\_rot\_r\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{neq}(\mbox{sk}_4,\mbox{nil})\mbox{ and }\mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{tl}(\mbox{sk}_3) = b\mbox{ and }\mbox{app}(b,c) = a\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{cons}(d,\mbox{nil}) = c\mbox{ and }\mbox{hd}(\mbox{sk}_3) = d\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_3)\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_3) ) \ \Rightarrow \ \mbox{sk}_4 = a\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

\medskip\textbf{SWC059+1.p} cond\_id\_segment\_total1\_x\_ne\_segment\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \mbox{neq}(x,\mbox{nil})\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\neg\,\mbox{segmentP}(x,w) ) )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,y)\mbox{ and }\mbox{segmentP}(u,y) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC301-1.p} cond\_pst\_top\_sorted\_x\_run\_eq

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_8),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_9) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{lt}(\mbox{sk}_6,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC199-1.p} cond\_pst\_equal3\_x\_pst\_equal2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(a) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(a))\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(a) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_1,\mbox{sk}_5(a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(a) \ \Rightarrow \ a\ne \mbox{sk}_5(a)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssItem}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{ssList}(e)\mbox{ and }\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(c,\mbox{cons}(a,\mbox{nil})),e),\mbox{cons}(b,\mbox{nil})),d) = \mbox{sk}_3 ) \ \Rightarrow \ a = b\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

\medskip\textbf{SWC257+1.p} cond\_pst\_sorted1\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{totalorderedP}(u)\mbox{ or }( \forall y{:}\;( \neg\,\mbox{ssItem}(y)\mbox{ or }\mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,y)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }y\ne z\mbox{ and }\mbox{memberP}(x,z)\mbox{ and }\mbox{leq}(y,z) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC239-1.p} cond\_pst\_pivoted3\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{lt}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_6,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_6,a) ) \ \Rightarrow \ ( \mbox{sk}_6 = a\mbox{ or }\mbox{nil} = \mbox{sk}_4 )\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_6,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_6,a) ) \ \Rightarrow \ ( \mbox{sk}_6 = a\mbox{ or }\mbox{nil} = \mbox{sk}_3 )\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

\medskip\textbf{SWC264+1.p} cond\_pst\_sorted1\_x\_pst\_strict\_sorted1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\mbox{totalorderedP}(u) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC388-1.p} cond\_some\_total2\_x\_some\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{cons}(a,\mbox{nil}) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{memberP}(\mbox{sk}_2,a)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{singletonP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

\medskip\textbf{SWC199+1.p} cond\_pst\_equal3\_x\_pst\_equal2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ ( \neg\,\mbox{memberP}(u,z)\mbox{ or }y = z ) ) )\mbox{ or }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\exists x_4{:}\;( \mbox{ssList}(x_4)\mbox{ and }\exists x_5{:}\;( \mbox{ssList}(x_5)\mbox{ and }x_1\ne x_2\mbox{ and }\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(x_3,\mbox{cons}(x_1,\mbox{nil})),x_5),\mbox{cons}(x_2,\mbox{nil})),x_4) = w ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC315+1.p} cond\_rot\_l\_total3\_x\_rot\_l\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \neg\,\mbox{ssList}(z)\mbox{ or }\mbox{app}(\mbox{cons}(y,\mbox{nil}),z)\ne v\mbox{ or }\mbox{app}(z,\mbox{cons}(y,\mbox{nil})) = u ) )\mbox{ and }( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u ) )\mbox{ or }( \forall x_1{:}\;( \mbox{ssItem}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \neg\,\mbox{ssList}(x_2)\mbox{ or }\mbox{app}(\mbox{cons}(x_1,\mbox{nil}),x_2)\ne x\mbox{ or }\mbox{app}(x_2,\mbox{cons}(x_1,\mbox{nil}))\ne w ) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC330+1.p} cond\_run\_eq\_x\_pivot

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ \forall x_1{:}\;( \neg\,\mbox{ssList}(x_1)\mbox{ or }\mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\mbox{app}(\mbox{app}(z,w),x_1)\ne x\mbox{ or }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\mbox{memberP}(z,x_2)\mbox{ and }\mbox{lt}(y,x_2) )\mbox{ or }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\mbox{memberP}(x_1,x_3)\mbox{ and }\mbox{lt}(x_3,y) ) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) )\mbox{ or }( \mbox{segmentP}(v,u)\mbox{ and }\mbox{equalelemsP}(u) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC167-1.p} cond\_pst\_diff\_adj1\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_8,\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{cons}(\mbox{sk}_7,\mbox{nil})),\mbox{sk}_9) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_6,\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

\medskip\textbf{SWC337-1.p} cond\_run\_ord\_x\_run\_eq

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) \ \Rightarrow \ \neg\,\mbox{totalorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

\medskip\textbf{SWC131-1.p} cond\_pr\_works\_on\_cycles\_x\_ne\_segment\_rear

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{cyclefreeP}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

\medskip\textbf{SWC252-1.p} cond\_pst\_pivoted3\_x\_some\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{lt}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_6,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_6,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

\medskip\textbf{SWC175-1.p} cond\_pst\_diff\_adj2\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_8,\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{cons}(\mbox{sk}_7,\mbox{nil})),\mbox{sk}_9) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_6,\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

\medskip\textbf{SWC181+1.p} cond\_pst\_different2\_x\_run\_strict\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(y,w),z)\ne x\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(x_2,\mbox{cons}(x_1,\mbox{nil})) = y\mbox{ and }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\exists x_4{:}\;( \mbox{ssList}(x_4)\mbox{ and }\mbox{app}(\mbox{cons}(x_3,\mbox{nil}),x_4) = w\mbox{ and }\mbox{lt}(x_1,x_3) ) ) ) )\mbox{ or }\exists x_5{:}\;( \mbox{ssItem}(x_5)\mbox{ and }\exists x_6{:}\;( \mbox{ssList}(x_6)\mbox{ and }\mbox{app}(\mbox{cons}(x_5,\mbox{nil}),x_6) = z\mbox{ and }\exists x_7{:}\;( \mbox{ssItem}(x_7)\mbox{ and }\exists x_8{:}\;( \mbox{ssList}(x_8)\mbox{ and }\mbox{app}(x_8,\mbox{cons}(x_7,\mbox{nil})) = w\mbox{ and }\mbox{lt}(x_7,x_5) ) ) ) ) ) ) )\mbox{ or }\mbox{duplicatefreeP}(u)\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC275-1.p} cond\_pst\_sorted1\_x\_some\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\neg\,\mbox{totalorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

\medskip\textbf{SWC259-1.p} cond\_pst\_sorted1\_x\_pivot

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\neg\,\mbox{totalorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{sk}_3),\mbox{sk}_7) = \mbox{sk}_4\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_6,a)\mbox{ and }\mbox{lt}(\mbox{sk}_5,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_7,a)\mbox{ and }\mbox{lt}(a,\mbox{sk}_5) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{sk}_3),\mbox{sk}_7) = \mbox{sk}_4\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_6,a)\mbox{ and }\mbox{lt}(\mbox{sk}_5,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_7,a)\mbox{ and }\mbox{lt}(a,\mbox{sk}_5) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{21},\mbox{negated\_conjecture})$

\medskip\textbf{SWC160+1.p} cond\_pst\_cyc\_sorted\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ ( \mbox{app}(w,y)\ne x\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{app}(x_3,\mbox{cons}(x_2,\mbox{nil})) = w\mbox{ and }\mbox{lt}(x_2,z) ) ) ) ) ) )\mbox{ or }\forall x_4{:}\;( \mbox{ssItem}(x_4) \ \Rightarrow \ \forall x_5{:}\;( \mbox{ssItem}(x_5) \ \Rightarrow \ \forall x_6{:}\;( \mbox{ssList}(x_6) \ \Rightarrow \ \forall x_7{:}\;( \mbox{ssList}(x_7) \ \Rightarrow \ \forall x_8{:}\;( \mbox{ssList}(x_8) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(x_6,\mbox{cons}(x_4,\mbox{nil})),x_7),\mbox{cons}(x_5,\mbox{nil})),x_8)\ne u\mbox{ or }\neg\,\mbox{leq}(x_5,x_4)\mbox{ or }( \forall x_9{:}\;( \mbox{ssItem}(x_9) \ \Rightarrow \ ( \neg\,\mbox{memberP}(x_7,x_9)\mbox{ or }( \mbox{leq}(x_4,x_9)\mbox{ and }\mbox{leq}(x_9,x_5) ) ) )\mbox{ and }\mbox{leq}(x_4,x_5) ) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC409-1.p} cond\_superst\_x\_rot\_l\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_4 ) \ \Rightarrow \ \mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_2,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\neg\,\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

\medskip\textbf{SWC276-1.p} cond\_pst\_sorted1\_x\_some\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\neg\,\mbox{totalorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

\medskip\textbf{SWC215+1.p} cond\_pst\_not\_nil\_ne\_x\_set\_max\_elems

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }( ( \neg\,\mbox{memberP}(w,y)\mbox{ and }\forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ ( \neg\,\mbox{memberP}(x,z)\mbox{ or }\neg\,\mbox{leq}(y,z)\mbox{ or }y = z ) )\mbox{ and }\mbox{memberP}(x,y) )\mbox{ or }( \mbox{memberP}(w,y)\mbox{ and }( \neg\,\mbox{memberP}(x,y)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }y\ne z\mbox{ and }\mbox{memberP}(x,z)\mbox{ and }\mbox{leq}(y,z) ) ) ) ) )\mbox{ or }\mbox{neq}(u,\mbox{nil}) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC368-1.p} cond\_segment\_x\_minimal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(a,\mbox{sk}_5) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_4 )\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(a,\mbox{sk}_5) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_3 )\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC299+1.p} cond\_pst\_top\_sorted\_x\_pivot

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ \forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),x_2),\mbox{cons}(z,\mbox{nil})),x_3)\ne u\mbox{ or }\neg\,\mbox{lt}(z,y) ) ) ) ) ) )\mbox{ or }( \forall x_4{:}\;( \mbox{ssItem}(x_4) \ \Rightarrow \ \forall x_5{:}\;( \mbox{ssList}(x_5) \ \Rightarrow \ \forall x_6{:}\;( \mbox{ssList}(x_6) \ \Rightarrow \ ( \mbox{cons}(x_4,\mbox{nil})\ne w\mbox{ or }\mbox{app}(\mbox{app}(x_5,w),x_6)\ne x\mbox{ or }\exists x_7{:}\;( \mbox{ssItem}(x_7)\mbox{ and }\mbox{memberP}(x_5,x_7)\mbox{ and }\mbox{lt}(x_4,x_7) )\mbox{ or }\exists x_8{:}\;( \mbox{ssItem}(x_8)\mbox{ and }\mbox{memberP}(x_6,x_8)\mbox{ and }\mbox{lt}(x_8,x_4) ) ) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC101-1.p} cond\_ne\_segment\_front\_total2\_x\_run\_eq\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(c,\mbox{cons}(a,\mbox{nil}))\ne \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_1,\mbox{nil}) \ \Rightarrow \ \neg\,\mbox{frontsegP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

\medskip\textbf{SWC262-1.p} cond\_pst\_sorted1\_x\_pst\_sorted1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{totalorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{totalorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

\medskip\textbf{SWC273+1.p} cond\_pst\_sorted1\_x\_run\_strict\_ord\_max1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(w,y)\mbox{ and }\mbox{segmentP}(x,y)\mbox{ and }\mbox{segmentP}(y,w)\mbox{ and }\mbox{strictorderedP}(y) )\mbox{ or }\mbox{totalorderedP}(u) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC322+1.p} cond\_rot\_r\_total3\_x\_rot\_r\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{app}(\mbox{cons}(y,\mbox{nil}),z)\ne w\mbox{ and }\mbox{app}(z,\mbox{cons}(y,\mbox{nil})) = x ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \forall x_1{:}\;( \mbox{ssItem}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ ( \mbox{app}(x_2,\mbox{cons}(x_1,\mbox{nil}))\ne v\mbox{ or }\mbox{app}(\mbox{cons}(x_1,\mbox{nil}),x_2) = u ) ) )\mbox{ and }( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC175+1.p} cond\_pst\_diff\_adj2\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ ( \mbox{app}(w,y)\ne x\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{app}(x_3,\mbox{cons}(x_2,\mbox{nil})) = w\mbox{ and }\mbox{lt}(x_2,z) ) ) ) ) ) )\mbox{ or }\forall x_4{:}\;( \mbox{ssItem}(x_4) \ \Rightarrow \ \forall x_5{:}\;( \mbox{ssItem}(x_5) \ \Rightarrow \ ( \forall x_6{:}\;( \mbox{ssList}(x_6) \ \Rightarrow \ \forall x_7{:}\;( \mbox{ssList}(x_7) \ \Rightarrow \ \mbox{app}(\mbox{app}(\mbox{app}(x_6,\mbox{cons}(x_4,\mbox{nil})),\mbox{cons}(x_5,\mbox{nil})),x_7)\ne u ) )\mbox{ or }\mbox{neq}(x_4,x_5) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC308-1.p} cond\_rot\_l1\_x\_rot\_l\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{sk}_1 = a\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{tl}(\mbox{sk}_2) = b\mbox{ and }\mbox{app}(b,c) = a\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{cons}(d,\mbox{nil}) = c\mbox{ and }\mbox{hd}(\mbox{sk}_2) = d\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_2) ) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{nil},\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_4 ) \ \Rightarrow \ \mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

\medskip\textbf{SWC056-1.p} cond\_id\_segment\_total1\_x\_minimal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(a,\mbox{sk}_5) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_4 )\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(a,\mbox{sk}_5) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_3 )\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_1,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

\medskip\textbf{SWC183-1.p} cond\_pst\_different3\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_7) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_6,\mbox{sk}_5)\mbox{ or }\mbox{memberP}(\mbox{sk}_7,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_8)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_8)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_8,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_8)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_8,a) ) \ \Rightarrow \ ( \mbox{sk}_8 = a\mbox{ or }\mbox{nil} = \mbox{sk}_4 )\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_8,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_8)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_8,a) ) \ \Rightarrow \ ( \mbox{sk}_8 = a\mbox{ or }\mbox{nil} = \mbox{sk}_3 )\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

\medskip\textbf{SWC119+1.p} cond\_ne\_segment\_total2\_x\_some\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \mbox{nil} = v\mbox{ and }\mbox{nil} = u )\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,y) ) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) )\mbox{ or }( \mbox{neq}(u,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,u) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC390-1.p} cond\_some\_total3\_x\_some\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) \ \Rightarrow \ \neg\,\mbox{singletonP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC343-1.p} cond\_run\_strict\_ord\_front2\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{strictorderedP}(\mbox{sk}_1) ) \ \Rightarrow \ ( \mbox{ssItem}(\mbox{sk}_6(a))\mbox{ or }\mbox{nil} = \mbox{sk}_1 )\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{strictorderedP}(\mbox{sk}_1)\mbox{ and }\mbox{nil} = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_6(a))\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{strictorderedP}(\mbox{sk}_1) ) \ \Rightarrow \ ( \mbox{ssList}(\mbox{sk}_7(a))\mbox{ or }\mbox{nil} = \mbox{sk}_1 )\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{strictorderedP}(\mbox{sk}_1) ) \ \Rightarrow \ ( \mbox{app}(\mbox{cons}(\mbox{sk}_6(a),\mbox{nil}),\mbox{sk}_7(a)) = a\mbox{ or }\mbox{nil} = \mbox{sk}_1 )\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{strictorderedP}(\mbox{sk}_1) ) \ \Rightarrow \ ( \mbox{ssItem}(\mbox{sk}_8(a))\mbox{ or }\mbox{nil} = \mbox{sk}_1 )\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{strictorderedP}(\mbox{sk}_1) ) \ \Rightarrow \ ( \mbox{ssList}(\mbox{sk}_9(a))\mbox{ or }\mbox{nil} = \mbox{sk}_1 )\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{strictorderedP}(\mbox{sk}_1) ) \ \Rightarrow \ ( \mbox{app}(\mbox{sk}_9(a),\mbox{cons}(\mbox{sk}_8(a),\mbox{nil})) = \mbox{sk}_1\mbox{ or }\mbox{nil} = \mbox{sk}_1 )\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{strictorderedP}(\mbox{sk}_1) ) \ \Rightarrow \ ( \mbox{lt}(\mbox{sk}_8(a),\mbox{sk}_6(a))\mbox{ or }\mbox{nil} = \mbox{sk}_1 )\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{strictorderedP}(\mbox{sk}_1)\mbox{ and }\mbox{nil} = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_7(a))\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{strictorderedP}(\mbox{sk}_1)\mbox{ and }\mbox{nil} = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{app}(\mbox{cons}(\mbox{sk}_6(a),\mbox{nil}),\mbox{sk}_7(a)) = a\qquad\mbox{cnf}(\mbox{co1}_{21},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{strictorderedP}(\mbox{sk}_1)\mbox{ and }\mbox{nil} = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_8(a))\qquad\mbox{cnf}(\mbox{co1}_{22},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{strictorderedP}(\mbox{sk}_1)\mbox{ and }\mbox{nil} = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_9(a))\qquad\mbox{cnf}(\mbox{co1}_{23},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{strictorderedP}(\mbox{sk}_1)\mbox{ and }\mbox{nil} = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{app}(\mbox{sk}_9(a),\mbox{cons}(\mbox{sk}_8(a),\mbox{nil})) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{24},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{strictorderedP}(\mbox{sk}_1)\mbox{ and }\mbox{nil} = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{lt}(\mbox{sk}_8(a),\mbox{sk}_6(a))\qquad\mbox{cnf}(\mbox{co1}_{25},\mbox{negated\_conjecture})$

\medskip\textbf{SWC223+1.p} cond\_pst\_pivoted1\_x\_pst\_sorted2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = u\mbox{ and }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ ( \neg\,\mbox{memberP}(z,x_2)\mbox{ or }\neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\neg\,\mbox{leq}(y,x_2)\mbox{ or }\mbox{leq}(x_2,y) ) ) ) ) )\mbox{ or }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\exists x_4{:}\;( \mbox{ssList}(x_4)\mbox{ and }\exists x_5{:}\;( \mbox{ssList}(x_5)\mbox{ and }\mbox{app}(\mbox{app}(x_4,\mbox{cons}(x_3,\mbox{nil})),x_5) = w\mbox{ and }\exists x_6{:}\;( \mbox{ssItem}(x_6)\mbox{ and }( ( \neg\,\mbox{leq}(x_3,x_6)\mbox{ and }\mbox{memberP}(x_5,x_6) )\mbox{ or }( \neg\,\mbox{leq}(x_6,x_3)\mbox{ and }\mbox{memberP}(x_4,x_6) ) ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC148+1.p} cond\_pr\_works\_on\_pairs\_x\_smallest

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{singletonP}(v)\mbox{ or }\mbox{totalorderP}(x) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC022+1.p} cond\_id\_front\_x\_head1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{frontsegP}(v,y)\mbox{ and }\mbox{frontsegP}(u,y) )\mbox{ or }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }w\ne z\mbox{ and }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\mbox{cons}(x_1,\mbox{nil}) = z\mbox{ and }\mbox{hd}(x) = x_1\mbox{ and }\mbox{neq}(\mbox{nil},x) ) ) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC355-1.p} cond\_segment\_ne\_x\_lead

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{sk}_3,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC084+1.p} cond\_id\_segment\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,y)\mbox{ and }\mbox{segmentP}(u,y) )\mbox{ or }( \forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ ( \mbox{cons}(z,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,z)\mbox{ or }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }z\ne x_1\mbox{ and }\mbox{memberP}(x,x_1)\mbox{ and }\mbox{leq}(z,x_1) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC228-1.p} cond\_pst\_pivoted1\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{leq}(\mbox{sk}_5(c,b,a),a)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_6\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

\medskip\textbf{SWC065-1.p} cond\_id\_segment\_total1\_x\_run\_eq\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(c,\mbox{cons}(a,\mbox{nil}))\ne \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_1,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC026+1.p} cond\_id\_nil\_iff\_x\_id\_nil\_iff

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \mbox{nil}\ne u\mbox{ or }\mbox{nil} = v ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC071+1.p} cond\_id\_segment\_total2\_x\_pivot

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,y)\mbox{ and }\mbox{segmentP}(u,y) )\mbox{ or }( \mbox{nil} = v\mbox{ and }\mbox{nil} = u )\mbox{ or }( \forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ ( \mbox{cons}(z,\mbox{nil})\ne w\mbox{ or }\mbox{app}(\mbox{app}(x_1,w),x_2)\ne x\mbox{ or }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\mbox{memberP}(x_1,x_3)\mbox{ and }\mbox{lt}(z,x_3) )\mbox{ or }\exists x_4{:}\;( \mbox{ssItem}(x_4)\mbox{ and }\mbox{memberP}(x_2,x_4)\mbox{ and }\mbox{lt}(x_4,z) ) ) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC207-1.p} cond\_pst\_not\_nil\_ne\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_1,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_5,a) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_4 )\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_5,a) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_3 )\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

\medskip\textbf{SWC317+1.p} cond\_rot\_r2\_x\_rot\_r2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{app}(\mbox{cons}(y,\mbox{nil}),z) = u\mbox{ and }\mbox{app}(z,\mbox{cons}(y,\mbox{nil})) = v ) )\mbox{ or }\forall x_1{:}\;( \mbox{ssItem}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ ( \mbox{app}(\mbox{cons}(x_1,\mbox{nil}),x_2)\ne w\mbox{ or }\mbox{app}(x_2,\mbox{cons}(x_1,\mbox{nil}))\ne x ) ) ) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC313-1.p} cond\_rot\_l\_total2\_x\_rot\_l\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_4 ) \ \Rightarrow \ \mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_2\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{app}(b,\mbox{cons}(a,\mbox{nil}))\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC398-1.p} cond\_subst\_x\_run\_eq\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(c,\mbox{cons}(a,\mbox{nil}))\ne \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\neg\,\mbox{memberP}(\mbox{sk}_2,\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC346-1.p} cond\_run\_strict\_ord\_x\_pivot

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{sk}_3),\mbox{sk}_7) = \mbox{sk}_4\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_6,a)\mbox{ and }\mbox{lt}(\mbox{sk}_5,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_7,a)\mbox{ and }\mbox{lt}(a,\mbox{sk}_5) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{sk}_3),\mbox{sk}_7) = \mbox{sk}_4\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_6,a)\mbox{ and }\mbox{lt}(\mbox{sk}_5,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_7,a)\mbox{ and }\mbox{lt}(a,\mbox{sk}_5) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) \ \Rightarrow \ \neg\,\mbox{strictorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{21},\mbox{negated\_conjecture})$

\medskip\textbf{SWC408-1.p} cond\_superst\_x\_double

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_4,\mbox{sk}_4) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_2,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\neg\,\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

\medskip\textbf{SWC049+1.p} cond\_id\_rear\_total2\_x\_ne\_segment\_rear\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{rearsegP}(v,y)\mbox{ and }\mbox{rearsegP}(u,y) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \mbox{nil} = v\mbox{ and }\mbox{nil} = u )\mbox{ or }( \mbox{neq}(x,\mbox{nil})\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\neg\,\mbox{rearsegP}(x,w) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC415-1.p} cond\_tail1\_x\_tail1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{tl}(\mbox{sk}_4) = a\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4) ) \ \Rightarrow \ ( \mbox{sk}_3 = a\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil}) )\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{tl}(\mbox{sk}_2) = a\mbox{ and }\mbox{sk}_1 = a\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_2) ) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{tl}(\mbox{sk}_4) = a\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4)\mbox{ and }\mbox{neq}(\mbox{sk}_4,\mbox{nil}) ) \ \Rightarrow \ \mbox{sk}_3 = a\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{tl}(\mbox{sk}_2) = a\mbox{ and }\mbox{sk}_1 = a\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_2) ) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC389+1.p} cond\_some\_total3\_x\_pivot

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ \forall x_1{:}\;( \neg\,\mbox{ssList}(x_1)\mbox{ or }\mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\mbox{app}(\mbox{app}(z,w),x_1)\ne x\mbox{ or }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\mbox{memberP}(z,x_2)\mbox{ and }\mbox{lt}(y,x_2) )\mbox{ or }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\mbox{memberP}(x_1,x_3)\mbox{ and }\mbox{lt}(x_3,y) ) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) )\mbox{ or }( \mbox{segmentP}(v,u)\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{singletonP}(u) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC257-1.p} cond\_pst\_sorted1\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\neg\,\mbox{totalorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_5,a) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_4 )\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_5,a) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_3 )\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC171-1.p} cond\_pst\_diff\_adj2\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_8) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_5,\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_9,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_9,a) ) \ \Rightarrow \ ( \mbox{sk}_9 = a\mbox{ or }\mbox{nil} = \mbox{sk}_4 )\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_9,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_9,a) ) \ \Rightarrow \ ( \mbox{sk}_9 = a\mbox{ or }\mbox{nil} = \mbox{sk}_3 )\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

\medskip\textbf{SWC044-1.p} cond\_id\_nil\_x\_segment\_rear

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{rearsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

\medskip\textbf{SWC006+1.p} cond\_filter\_segment\_x\_filter\_segment

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(y,z),x_1) = v\mbox{ and }\mbox{app}(y,x_1) = u ) ) )\mbox{ or }\forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ \forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \neg\,\mbox{ssList}(x_4)\mbox{ or }\mbox{app}(\mbox{app}(x_2,x_3),x_4)\ne x\mbox{ or }\mbox{app}(x_2,x_4)\ne w ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC267-1.p} cond\_pst\_sorted1\_x\_run\_eq\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{frontsegP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{equalelemsP}(a)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\neg\,\mbox{totalorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

\medskip\textbf{SWC275+1.p} cond\_pst\_sorted1\_x\_some\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{totalorderedP}(u)\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \forall y{:}\;( \neg\,\mbox{ssItem}(y)\mbox{ or }\mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,y) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC408+1.p} cond\_superst\_x\_double

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( \mbox{app}(x,x)\ne w\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \neg\,\mbox{memberP}(v,y)\mbox{ or }\mbox{memberP}(u,y) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC316+1.p} cond\_rot\_r1\_x\_rot\_r2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ ( \mbox{app}(\mbox{cons}(y,\mbox{nil}),z)\ne w\mbox{ or }\mbox{app}(z,\mbox{cons}(y,\mbox{nil}))\ne x ) ) )\mbox{ or }( \exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }v = x_1\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{tl}(u) = x_2\mbox{ and }\mbox{app}(x_2,x_3) = x_1\mbox{ and }\exists x_4{:}\;( \mbox{ssItem}(x_4)\mbox{ and }\mbox{cons}(x_4,\mbox{nil}) = x_3\mbox{ and }\mbox{hd}(u) = x_4\mbox{ and }\mbox{neq}(\mbox{nil},u) )\mbox{ and }\mbox{neq}(\mbox{nil},u) ) ) )\mbox{ and }\mbox{neq}(u,\mbox{nil}) ) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC230+1.p} cond\_pst\_pivoted2\_x\_pst\_equal1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = u\mbox{ and }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ ( \neg\,\mbox{memberP}(z,x_2)\mbox{ or }\neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\neg\,\mbox{leq}(y,x_2)\mbox{ or }\mbox{lt}(y,x_2) ) ) ) ) )\mbox{ or }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\exists x_4{:}\;( \mbox{ssItem}(x_4)\mbox{ and }\exists x_5{:}\;( \mbox{ssList}(x_5)\mbox{ and }\exists x_6{:}\;( \mbox{ssList}(x_6)\mbox{ and }x_3\ne x_4\mbox{ and }\mbox{app}(\mbox{app}(\mbox{app}(x_5,\mbox{cons}(x_3,\mbox{nil})),\mbox{cons}(x_4,\mbox{nil})),x_6) = w ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC305-1.p} cond\_pst\_top\_sorted\_x\_run\_strict\_ord\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{frontsegP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{strictorderedP}(a)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_8),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_9) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{lt}(\mbox{sk}_6,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

\medskip\textbf{SWC230-1.p} cond\_pst\_pivoted2\_x\_pst\_equal1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{lt}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssItem}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(\mbox{app}(\mbox{app}(c,\mbox{cons}(a,\mbox{nil})),\mbox{cons}(b,\mbox{nil})),d) = \mbox{sk}_3 ) \ \Rightarrow \ a = b\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

\medskip\textbf{SWC334+1.p} cond\_run\_ord\_max1\_x\_run\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(y,w),z)\ne x\mbox{ or }\neg\,\mbox{totalorderedP}(w)\mbox{ or }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(x_2,\mbox{cons}(x_1,\mbox{nil})) = y\mbox{ and }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\exists x_4{:}\;( \mbox{ssList}(x_4)\mbox{ and }\mbox{app}(\mbox{cons}(x_3,\mbox{nil}),x_4) = w\mbox{ and }\mbox{leq}(x_1,x_3) ) ) ) )\mbox{ or }\exists x_5{:}\;( \mbox{ssItem}(x_5)\mbox{ and }\exists x_6{:}\;( \mbox{ssList}(x_6)\mbox{ and }\mbox{app}(\mbox{cons}(x_5,\mbox{nil}),x_6) = z\mbox{ and }\exists x_7{:}\;( \mbox{ssItem}(x_7)\mbox{ and }\exists x_8{:}\;( \mbox{ssList}(x_8)\mbox{ and }\mbox{app}(x_8,\mbox{cons}(x_7,\mbox{nil})) = w\mbox{ and }\mbox{leq}(x_7,x_5) ) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w )\mbox{ or }( \forall x_9{:}\;( \mbox{ssList}(x_9) \ \Rightarrow \ ( \neg\,\mbox{neq}(u,x_9)\mbox{ or }\neg\,\mbox{segmentP}(v,x_9)\mbox{ or }\neg\,\mbox{segmentP}(x_9,u)\mbox{ or }\neg\,\mbox{totalorderedP}(x_9) ) )\mbox{ and }\mbox{segmentP}(v,u)\mbox{ and }\mbox{totalorderedP}(u) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC213+1.p} cond\_pst\_not\_nil\_ne\_x\_run\_eq\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(y,w),z)\ne x\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(x_2,\mbox{cons}(x_1,\mbox{nil})) = y\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{app}(\mbox{cons}(x_1,\mbox{nil}),x_3) = w ) ) )\mbox{ or }\exists x_4{:}\;( \mbox{ssItem}(x_4)\mbox{ and }\exists x_5{:}\;( \mbox{ssList}(x_5)\mbox{ and }\mbox{app}(\mbox{cons}(x_4,\mbox{nil}),x_5) = z\mbox{ and }\exists x_6{:}\;( \mbox{ssList}(x_6)\mbox{ and }\mbox{app}(x_6,\mbox{cons}(x_4,\mbox{nil})) = w ) ) ) ) ) )\mbox{ or }\mbox{neq}(u,\mbox{nil})\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC107+1.p} cond\_ne\_segment\_total1\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,y)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }y\ne z\mbox{ and }\mbox{memberP}(x,z)\mbox{ and }\mbox{leq}(y,z) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }( \mbox{neq}(u,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,u) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC306+1.p} cond\_pst\_top\_sorted\_x\_some\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ \forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),x_2),\mbox{cons}(z,\mbox{nil})),x_3)\ne u\mbox{ or }\neg\,\mbox{lt}(z,y) ) ) ) ) ) )\mbox{ or }( \forall x_4{:}\;( \mbox{ssItem}(x_4) \ \Rightarrow \ ( \mbox{cons}(x_4,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,x_4) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC183+1.p} cond\_pst\_different3\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ \forall x_1{:}\;( \neg\,\mbox{ssList}(x_1)\mbox{ or }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1)\ne u\mbox{ or }( \neg\,\mbox{memberP}(z,y)\mbox{ and }\neg\,\mbox{memberP}(x_1,y) ) ) ) )\mbox{ or }( \forall x_2{:}\;( \neg\,\mbox{ssItem}(x_2)\mbox{ or }\mbox{cons}(x_2,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,x_2)\mbox{ or }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }x_2\ne x_3\mbox{ and }\mbox{memberP}(x,x_3)\mbox{ and }\mbox{leq}(x_2,x_3) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC411-1.p} cond\_superst\_x\_superst

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a) ) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_3,a)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_2,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\neg\,\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

\medskip\textbf{SWC228+1.p} cond\_pst\_pivoted1\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = u\mbox{ and }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ ( \neg\,\mbox{memberP}(z,x_2)\mbox{ or }\neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\neg\,\mbox{leq}(y,x_2)\mbox{ or }\mbox{leq}(x_2,y) ) ) ) ) )\mbox{ or }\forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ ( \mbox{app}(w,x_3)\ne x\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists x_4{:}\;( \mbox{ssItem}(x_4)\mbox{ and }\exists x_5{:}\;( \mbox{ssList}(x_5)\mbox{ and }\mbox{app}(\mbox{cons}(x_4,\mbox{nil}),x_5) = x_3\mbox{ and }\exists x_6{:}\;( \mbox{ssItem}(x_6)\mbox{ and }\exists x_7{:}\;( \mbox{ssList}(x_7)\mbox{ and }\mbox{app}(x_7,\mbox{cons}(x_6,\mbox{nil})) = w\mbox{ and }\mbox{lt}(x_6,x_4) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC129-1.p} cond\_pr\_works\_on\_cycles\_x\_dup\_tos

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{cyclefreeP}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

\medskip\textbf{SWC185+1.p} cond\_pst\_different3\_x\_pst\_different3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = w\mbox{ and }( \mbox{memberP}(z,y)\mbox{ or }\mbox{memberP}(x_1,y) ) ) ) )\mbox{ or }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ \forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \mbox{ssList}(x_4) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(x_3,\mbox{cons}(x_2,\mbox{nil})),x_4)\ne u\mbox{ or }( \neg\,\mbox{memberP}(x_3,x_2)\mbox{ and }\neg\,\mbox{memberP}(x_4,x_2) ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC191-1.p} cond\_pst\_equal1\_x\_run\_eq\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{frontsegP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{equalelemsP}(a)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_8) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{sk}_5\ne \mbox{sk}_6\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC100+1.p} cond\_ne\_segment\_front\_total1\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ ( \mbox{app}(w,y)\ne x\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{app}(x_3,\mbox{cons}(x_2,\mbox{nil})) = w\mbox{ and }\mbox{lt}(x_2,z) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }( \mbox{neq}(u,\mbox{nil})\mbox{ and }\mbox{frontsegP}(v,u) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC394+1.p} cond\_subst\_x\_ne\_segment\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \neg\,\mbox{memberP}(u,y)\mbox{ or }\mbox{memberP}(v,y) ) )\mbox{ or }( ( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w )\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\neg\,\mbox{segmentP}(x,w) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC110+1.p} cond\_ne\_segment\_total1\_x\_run\_eq\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ ( \mbox{app}(w,y)\ne x\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(x_2,\mbox{cons}(z,\mbox{nil})) = w ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }( \mbox{neq}(u,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,u) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC403-1.p} cond\_subst\_x\_run\_strict\_ord\_max1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{strictorderedP}(a)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\neg\,\mbox{memberP}(\mbox{sk}_2,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC219-1.p} cond\_pst\_pivoted1\_x\_minimal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{leq}(\mbox{sk}_5(c,b,a),a)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_6,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(a,\mbox{sk}_6) ) \ \Rightarrow \ ( \mbox{sk}_6 = a\mbox{ or }\mbox{nil} = \mbox{sk}_4 )\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_6,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(a,\mbox{sk}_6) ) \ \Rightarrow \ ( \mbox{sk}_6 = a\mbox{ or }\mbox{nil} = \mbox{sk}_3 )\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

\medskip\textbf{SWC286-1.p} cond\_pst\_strict\_sorted1\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\neg\,\mbox{strictorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_5,a) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_4 )\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_5,a) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_3 )\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC282-1.p} cond\_pst\_sorted2\_x\_run\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_5,\mbox{sk}_3),\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{totalorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(\mbox{cons}(c,\mbox{nil}),d) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{leq}(a,c)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_6\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{leq}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_8,\mbox{cons}(\mbox{sk}_7,\mbox{nil})),\mbox{sk}_9) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_{10})\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_8,\mbox{sk}_{10})\mbox{ or }\mbox{memberP}(\mbox{sk}_9,\mbox{sk}_{10})\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_7,\mbox{sk}_{10}) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_8,\mbox{sk}_{10})\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_{10},\mbox{sk}_7) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_9,\mbox{sk}_{10})\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_{10},\mbox{sk}_7) \ \Rightarrow \ \neg\,\mbox{leq}(\mbox{sk}_7,\mbox{sk}_{10})\qquad\mbox{cnf}(\mbox{co1}_{21},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{22},\mbox{negated\_conjecture})$

\medskip\textbf{SWC253+1.p} cond\_pst\_singleton\_ne\_x\_head2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }x\ne y\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{tl}(x) = z\mbox{ and }\mbox{app}(w,z) = y\mbox{ and }\mbox{neq}(\mbox{nil},x) ) )\mbox{ or }\mbox{singletonP}(u) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC287+1.p} cond\_pst\_strict\_sorted1\_x\_minimal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{strictorderedP}(u)\mbox{ or }( \forall y{:}\;( \neg\,\mbox{ssItem}(y)\mbox{ or }\mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,y)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }y\ne z\mbox{ and }\mbox{memberP}(x,z)\mbox{ and }\mbox{leq}(z,y) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC421-1.p} cond\_turn\_x\_rot\_r\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{app}(\mbox{app}(c,\mbox{cons}(a,\mbox{nil})),b)\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{neq}(\mbox{sk}_4,\mbox{nil})\mbox{ and }\mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{tl}(\mbox{sk}_3) = b\mbox{ and }\mbox{app}(b,c) = a\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{cons}(d,\mbox{nil}) = c\mbox{ and }\mbox{hd}(\mbox{sk}_3) = d\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_3)\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_3) ) \ \Rightarrow \ \mbox{sk}_4 = a\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

\medskip\textbf{SWC197+1.p} cond\_pst\_equal2\_x\_some\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ \forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),x_3),\mbox{cons}(z,\mbox{nil})),x_2)\ne u\mbox{ or }y = z ) ) ) ) ) )\mbox{ or }( \neg\,\mbox{singletonP}(w)\mbox{ and }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC087+1.p} cond\_id\_segment\_x\_rot\_l1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,y)\mbox{ and }\mbox{segmentP}(u,y) )\mbox{ or }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }w\ne z\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{tl}(x) = x_1\mbox{ and }\mbox{app}(x_1,x_2) = z\mbox{ and }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\mbox{cons}(x_3,\mbox{nil}) = x_2\mbox{ and }\mbox{hd}(x) = x_3\mbox{ and }\mbox{neq}(\mbox{nil},x) )\mbox{ and }\mbox{neq}(\mbox{nil},x) ) ) ) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC031-1.p} cond\_id\_nil\_iff\_x\_run\_ord\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{totalorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{frontsegP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{totalorderedP}(a)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{nil} = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

\medskip\textbf{SWC325+1.p} cond\_rotate\_x\_rot\_r\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{app}(y,z) = v\mbox{ and }\mbox{app}(z,y) = u ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \forall x_1{:}\;( \mbox{ssItem}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ ( \mbox{app}(\mbox{cons}(x_1,\mbox{nil}),x_2)\ne w\mbox{ or }\mbox{app}(x_2,\mbox{cons}(x_1,\mbox{nil}))\ne x ) ) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC379-1.p} cond\_set\_min\_elems\_x\_set\_min\_elems

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a) ) \ \Rightarrow \ ( \mbox{memberP}(\mbox{sk}_3,a)\mbox{ or }\mbox{ssItem}(\mbox{sk}_5(a)) )\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a) ) \ \Rightarrow \ ( \mbox{memberP}(\mbox{sk}_3,a)\mbox{ or }\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5(a)) )\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a) ) \ \Rightarrow \ ( \mbox{memberP}(\mbox{sk}_3,a)\mbox{ or }\mbox{leq}(\mbox{sk}_5(a),a) )\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }a = \mbox{sk}_5(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a) ) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_3,a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_3,a) ) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_4,a)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_3,a)\mbox{ and }\mbox{ssItem}(b)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,b)\mbox{ and }\mbox{leq}(b,a) ) \ \Rightarrow \ a = b\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_6)\mbox{ or }\mbox{memberP}(\mbox{sk}_2,\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_2,a)\mbox{ and }\mbox{leq}(a,\mbox{sk}_6) ) \ \Rightarrow \ ( \mbox{memberP}(\mbox{sk}_1,\mbox{sk}_6)\mbox{ or }\mbox{sk}_6 = a )\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$( \mbox{memberP}(\mbox{sk}_2,\mbox{sk}_6)\mbox{ and }\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_6) ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$( \mbox{memberP}(\mbox{sk}_2,\mbox{sk}_6)\mbox{ and }\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_6) ) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_2,\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$( \mbox{memberP}(\mbox{sk}_2,\mbox{sk}_6)\mbox{ and }\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_6) ) \ \Rightarrow \ \mbox{leq}(\mbox{sk}_7,\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$( \mbox{sk}_6 = \mbox{sk}_7\mbox{ and }\mbox{memberP}(\mbox{sk}_2,\mbox{sk}_6) ) \ \Rightarrow \ \neg\,\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

\medskip\textbf{SWC118-1.p} cond\_ne\_segment\_total2\_x\_run\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_5,\mbox{sk}_3),\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{totalorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(\mbox{cons}(c,\mbox{nil}),d) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{leq}(a,c)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_6\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{leq}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_1,\mbox{nil}) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC337+1.p} cond\_run\_ord\_x\_run\_eq

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }( \mbox{segmentP}(v,u)\mbox{ and }\mbox{totalorderedP}(u) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC313+1.p} cond\_rot\_l\_total2\_x\_rot\_l\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{app}(z,\mbox{cons}(y,\mbox{nil}))\ne w\mbox{ and }\mbox{app}(\mbox{cons}(y,\mbox{nil}),z) = x ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(\mbox{cons}(x_1,\mbox{nil}),x_2) = v\mbox{ and }\mbox{app}(x_2,\mbox{cons}(x_1,\mbox{nil})) = u ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC222-1.p} cond\_pst\_pivoted1\_x\_pst\_pivoted3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{leq}(\mbox{sk}_5(c,b,a),a)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_8) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_7,a)\mbox{ and }\mbox{memberP}(\mbox{sk}_8,a)\mbox{ and }\mbox{lt}(\mbox{sk}_6,a) ) \ \Rightarrow \ ( \mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{leq}(\mbox{sk}_6,a) )\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

\medskip\textbf{SWC072+1.p} cond\_id\_segment\_total2\_x\_rot\_l\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,y)\mbox{ and }\mbox{segmentP}(u,y) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \mbox{nil} = v\mbox{ and }\mbox{nil} = u )\mbox{ or }( \exists z{:}\;( \mbox{ssList}(z)\mbox{ and }w\ne z\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{tl}(x) = x_1\mbox{ and }\mbox{app}(x_1,x_2) = z\mbox{ and }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\mbox{cons}(x_3,\mbox{nil}) = x_2\mbox{ and }\mbox{hd}(x) = x_3\mbox{ and }\mbox{neq}(\mbox{nil},x) )\mbox{ and }\mbox{neq}(\mbox{nil},x) ) ) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC345+1.p} cond\_run\_strict\_ord\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,y)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }y\ne z\mbox{ and }\mbox{memberP}(x,z)\mbox{ and }\mbox{leq}(y,z) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) )\mbox{ or }( \mbox{segmentP}(v,u)\mbox{ and }\mbox{strictorderedP}(u) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC260+1.p} cond\_pst\_sorted1\_x\_pst\_equal1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }y\ne z\mbox{ and }\mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),\mbox{cons}(z,\mbox{nil})),x_2) = w ) ) ) )\mbox{ or }\mbox{totalorderedP}(u) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC211+1.p} cond\_pst\_not\_nil\_ne\_x\_rot\_l\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{app}(z,\mbox{cons}(y,\mbox{nil}))\ne w\mbox{ and }\mbox{app}(\mbox{cons}(y,\mbox{nil}),z) = x ) )\mbox{ or }\mbox{neq}(u,\mbox{nil})\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC137-1.p} cond\_pr\_works\_on\_nonempty\_x\_greatest

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{totalorderP}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

\medskip\textbf{SWC118+1.p} cond\_ne\_segment\_total2\_x\_run\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(y,w),z)\ne x\mbox{ or }\neg\,\mbox{totalorderedP}(w)\mbox{ or }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(x_2,\mbox{cons}(x_1,\mbox{nil})) = y\mbox{ and }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\exists x_4{:}\;( \mbox{ssList}(x_4)\mbox{ and }\mbox{app}(\mbox{cons}(x_3,\mbox{nil}),x_4) = w\mbox{ and }\mbox{leq}(x_1,x_3) ) ) ) )\mbox{ or }\exists x_5{:}\;( \mbox{ssItem}(x_5)\mbox{ and }\exists x_6{:}\;( \mbox{ssList}(x_6)\mbox{ and }\mbox{app}(\mbox{cons}(x_5,\mbox{nil}),x_6) = z\mbox{ and }\exists x_7{:}\;( \mbox{ssItem}(x_7)\mbox{ and }\exists x_8{:}\;( \mbox{ssList}(x_8)\mbox{ and }\mbox{app}(x_8,\mbox{cons}(x_7,\mbox{nil})) = w\mbox{ and }\mbox{leq}(x_7,x_5) ) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w )\mbox{ or }( \mbox{nil} = v\mbox{ and }\mbox{nil} = u )\mbox{ or }( \mbox{neq}(u,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,u) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC106+1.p} cond\_ne\_segment\_rear\_x\_last

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ ( \mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\mbox{app}(z,\mbox{cons}(y,\mbox{nil}))\ne x ) ) )\mbox{ or }( \mbox{neq}(u,\mbox{nil})\mbox{ and }\mbox{rearsegP}(v,u) ) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC167+1.p} cond\_pst\_diff\_adj1\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ ( \mbox{app}(w,y)\ne x\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{app}(x_3,\mbox{cons}(x_2,\mbox{nil})) = w\mbox{ and }\mbox{lt}(x_2,z) ) ) ) ) ) )\mbox{ or }\forall x_4{:}\;( \mbox{ssItem}(x_4) \ \Rightarrow \ \forall x_5{:}\;( \mbox{ssItem}(x_5) \ \Rightarrow \ \forall x_6{:}\;( \mbox{ssList}(x_6) \ \Rightarrow \ \forall x_7{:}\;( \mbox{ssList}(x_7) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(\mbox{app}(x_6,\mbox{cons}(x_4,\mbox{nil})),\mbox{cons}(x_5,\mbox{nil})),x_7)\ne u\mbox{ or }\mbox{neq}(x_4,x_5) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC046+1.p} cond\_id\_nil\_x\_set\_unique\_elems

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( \mbox{nil}\ne v\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }( ( \neg\,\mbox{memberP}(w,y)\mbox{ and }\forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ \neg\,\mbox{segmentP}(x,\mbox{app}(\mbox{app}(\mbox{cons}(y,\mbox{nil}),z),\mbox{cons}(y,\mbox{nil}))) )\mbox{ and }\mbox{memberP}(x,y) )\mbox{ or }( \mbox{memberP}(w,y)\mbox{ and }( \neg\,\mbox{memberP}(x,y)\mbox{ or }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{segmentP}(x,\mbox{app}(\mbox{app}(\mbox{cons}(y,\mbox{nil}),z),\mbox{cons}(y,\mbox{nil}))) ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC284+1.p} cond\_pst\_sorted2\_x\_some\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ \forall x_1{:}\;( \neg\,\mbox{ssList}(x_1)\mbox{ or }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1)\ne u\mbox{ or }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ ( ( \neg\,\mbox{memberP}(z,x_2)\mbox{ or }\mbox{leq}(x_2,y) )\mbox{ and }( \neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\mbox{leq}(y,x_2) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \forall x_3{:}\;( \neg\,\mbox{ssItem}(x_3)\mbox{ or }\mbox{cons}(x_3,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,x_3) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC409+1.p} cond\_superst\_x\_rot\_l\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{app}(z,\mbox{cons}(y,\mbox{nil}))\ne w\mbox{ and }\mbox{app}(\mbox{cons}(y,\mbox{nil}),z) = x ) )\mbox{ or }\forall x_1{:}\;( \mbox{ssItem}(x_1) \ \Rightarrow \ ( \neg\,\mbox{memberP}(v,x_1)\mbox{ or }\mbox{memberP}(u,x_1) ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC235-1.p} cond\_pst\_pivoted2\_x\_run\_eq\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{lt}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{sk}_3),\mbox{sk}_7) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_6\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(\mbox{cons}(a,\mbox{nil}),c)\ne \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_7\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(c,\mbox{cons}(a,\mbox{nil}))\ne \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

\medskip\textbf{SWC117+1.p} cond\_ne\_segment\_total2\_x\_run\_eq\_max1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(w,y)\mbox{ and }\mbox{segmentP}(x,y)\mbox{ and }\mbox{segmentP}(y,w)\mbox{ and }\mbox{equalelemsP}(y) )\mbox{ or }( \mbox{nil} = v\mbox{ and }\mbox{nil} = u )\mbox{ or }( \mbox{neq}(u,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,u) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC227+1.p} cond\_pst\_pivoted1\_x\_run\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = u\mbox{ and }\forall x_2{:}\;( \neg\,\mbox{ssItem}(x_2)\mbox{ or }\neg\,\mbox{memberP}(z,x_2)\mbox{ or }\neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\neg\,\mbox{leq}(y,x_2)\mbox{ or }\mbox{leq}(x_2,y) ) ) ) )\mbox{ or }\forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \neg\,\mbox{ssList}(x_4)\mbox{ or }\mbox{app}(\mbox{app}(x_3,w),x_4)\ne x\mbox{ or }\neg\,\mbox{totalorderedP}(w)\mbox{ or }\exists x_5{:}\;( \mbox{ssItem}(x_5)\mbox{ and }\exists x_6{:}\;( \mbox{ssList}(x_6)\mbox{ and }\mbox{app}(x_6,\mbox{cons}(x_5,\mbox{nil})) = x_3\mbox{ and }\exists x_7{:}\;( \mbox{ssItem}(x_7)\mbox{ and }\exists x_8{:}\;( \mbox{ssList}(x_8)\mbox{ and }\mbox{app}(\mbox{cons}(x_7,\mbox{nil}),x_8) = w\mbox{ and }\mbox{leq}(x_5,x_7) ) ) ) )\mbox{ or }\exists x_9{:}\;( \mbox{ssItem}(x_9)\mbox{ and }\exists x_{10}{:}\;( \mbox{ssList}(x_{10})\mbox{ and }\mbox{app}(\mbox{cons}(x_9,\mbox{nil}),x_{10}) = x_4\mbox{ and }\exists x_{11}{:}\;( \mbox{ssItem}(x_{11})\mbox{ and }\exists x_{12}{:}\;( \mbox{ssList}(x_{12})\mbox{ and }\mbox{app}(x_{12},\mbox{cons}(x_{11},\mbox{nil})) = w\mbox{ and }\mbox{leq}(x_{11},x_9) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC339+1.p} cond\_run\_ord\_x\_run\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(y,w),z)\ne x\mbox{ or }\neg\,\mbox{totalorderedP}(w)\mbox{ or }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(x_2,\mbox{cons}(x_1,\mbox{nil})) = y\mbox{ and }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\exists x_4{:}\;( \mbox{ssList}(x_4)\mbox{ and }\mbox{app}(\mbox{cons}(x_3,\mbox{nil}),x_4) = w\mbox{ and }\mbox{leq}(x_1,x_3) ) ) ) )\mbox{ or }\exists x_5{:}\;( \mbox{ssItem}(x_5)\mbox{ and }\exists x_6{:}\;( \mbox{ssList}(x_6)\mbox{ and }\mbox{app}(\mbox{cons}(x_5,\mbox{nil}),x_6) = z\mbox{ and }\exists x_7{:}\;( \mbox{ssItem}(x_7)\mbox{ and }\exists x_8{:}\;( \mbox{ssList}(x_8)\mbox{ and }\mbox{app}(x_8,\mbox{cons}(x_7,\mbox{nil})) = w\mbox{ and }\mbox{leq}(x_7,x_5) ) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w )\mbox{ or }( \mbox{segmentP}(v,u)\mbox{ and }\mbox{totalorderedP}(u) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC288+1.p} cond\_pst\_strict\_sorted1\_x\_pivot

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{strictorderedP}(u)\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ \forall x_1{:}\;( \neg\,\mbox{ssList}(x_1)\mbox{ or }\mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\mbox{app}(\mbox{app}(z,w),x_1)\ne x\mbox{ or }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\mbox{memberP}(z,x_2)\mbox{ and }\mbox{lt}(y,x_2) )\mbox{ or }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\mbox{memberP}(x_1,x_3)\mbox{ and }\mbox{lt}(x_3,y) ) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC165-1.p} cond\_pst\_diff\_adj1\_x\_pivot

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_8) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_5,\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_{10})\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_{11})\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_9,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_{10},\mbox{sk}_3),\mbox{sk}_{11}) = \mbox{sk}_4\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_{10},a)\mbox{ and }\mbox{lt}(\mbox{sk}_9,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_{11},a)\mbox{ and }\mbox{lt}(a,\mbox{sk}_9) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_{10})\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{21},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_{11})\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{22},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_9,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{23},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_{10},\mbox{sk}_3),\mbox{sk}_{11}) = \mbox{sk}_4\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{24},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_{10},a)\mbox{ and }\mbox{lt}(\mbox{sk}_9,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{25},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_{11},a)\mbox{ and }\mbox{lt}(a,\mbox{sk}_9) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{26},\mbox{negated\_conjecture})$

\medskip\textbf{SWC262+1.p} cond\_pst\_sorted1\_x\_pst\_sorted1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{totalorderedP}(w)\mbox{ or }\mbox{totalorderedP}(u) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC037-1.p} cond\_id\_nil\_x\_id\_segment\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_5,\mbox{nil})\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_3,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_5,\mbox{nil})\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_3,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

\medskip\textbf{SWC323+1.p} cond\_rotate\_x\_rot\_l\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{app}(y,z) = v\mbox{ and }\mbox{app}(z,y) = u ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \forall x_1{:}\;( \mbox{ssItem}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ ( \mbox{app}(\mbox{cons}(x_1,\mbox{nil}),x_2)\ne x\mbox{ or }\mbox{app}(x_2,\mbox{cons}(x_1,\mbox{nil}))\ne w ) ) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC369+1.p} cond\_segment\_x\_ne\_segment\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{segmentP}(v,u)\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \mbox{neq}(x,\mbox{nil})\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\neg\,\mbox{segmentP}(x,w) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC094-1.p} cond\_insert\_x\_copy

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{sk}_4 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(a,b),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{app}(a,c)\ne \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

\medskip\textbf{SWC274+1.p} cond\_pst\_sorted1\_x\_run\_strict\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ \forall z{:}\;( \neg\,\mbox{ssList}(z)\mbox{ or }\mbox{app}(\mbox{app}(y,w),z)\ne x\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(x_2,\mbox{cons}(x_1,\mbox{nil})) = y\mbox{ and }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\exists x_4{:}\;( \mbox{ssList}(x_4)\mbox{ and }\mbox{app}(\mbox{cons}(x_3,\mbox{nil}),x_4) = w\mbox{ and }\mbox{lt}(x_1,x_3) ) ) ) )\mbox{ or }\exists x_5{:}\;( \mbox{ssItem}(x_5)\mbox{ and }\exists x_6{:}\;( \mbox{ssList}(x_6)\mbox{ and }\mbox{app}(\mbox{cons}(x_5,\mbox{nil}),x_6) = z\mbox{ and }\exists x_7{:}\;( \mbox{ssItem}(x_7)\mbox{ and }\exists x_8{:}\;( \mbox{ssList}(x_8)\mbox{ and }\mbox{app}(x_8,\mbox{cons}(x_7,\mbox{nil})) = w\mbox{ and }\mbox{lt}(x_7,x_5) ) ) ) ) ) )\mbox{ or }\mbox{totalorderedP}(u)\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC331-1.p} cond\_run\_eq\_x\_run\_eq\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(c,\mbox{cons}(a,\mbox{nil}))\ne \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) \ \Rightarrow \ \neg\,\mbox{equalelemsP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC358+1.p} cond\_segment\_ne\_x\_ne\_segment\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{segmentP}(v,u)\mbox{ or }( ( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w )\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\neg\,\mbox{segmentP}(x,w) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC383+1.p} cond\_some2\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,y)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }y\ne z\mbox{ and }\mbox{memberP}(x,z)\mbox{ and }\mbox{leq}(y,z) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) )\mbox{ or }( \mbox{singletonP}(u)\mbox{ and }\mbox{segmentP}(v,u) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC195+1.p} cond\_pst\_equal2\_x\_run\_eq\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{frontsegP}(x,w)\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(w,y)\mbox{ and }\mbox{frontsegP}(x,y)\mbox{ and }\mbox{segmentP}(y,w)\mbox{ and }\mbox{equalelemsP}(y) )\mbox{ or }\forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssItem}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ \forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \mbox{ssList}(x_4) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(x_2,\mbox{cons}(z,\mbox{nil})),x_4),\mbox{cons}(x_1,\mbox{nil})),x_3)\ne u\mbox{ or }z = x_1 ) ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC015-1.p} cond\_head3\_x\_head2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{tl}(\mbox{sk}_4) = b\mbox{ and }\mbox{app}(\mbox{sk}_3,b) = a\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4) ) \ \Rightarrow \ ( \mbox{sk}_4 = a\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil}) )\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{cons}(a,\mbox{nil}) = \mbox{sk}_1\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{tl}(\mbox{sk}_4) = b\mbox{ and }\mbox{app}(\mbox{sk}_3,b) = a\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4)\mbox{ and }\mbox{neq}(\mbox{sk}_4,\mbox{nil}) ) \ \Rightarrow \ \mbox{sk}_4 = a\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{cons}(a,\mbox{nil}) = \mbox{sk}_1\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_2 ) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC311-1.p} cond\_rot\_l\_total2\_x\_rot\_l\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{tl}(\mbox{sk}_4) = b\mbox{ and }\mbox{app}(b,c) = a\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{cons}(d,\mbox{nil}) = c\mbox{ and }\mbox{hd}(\mbox{sk}_4) = d\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4)\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4)\mbox{ and }\mbox{neq}(\mbox{sk}_4,\mbox{nil}) ) \ \Rightarrow \ \mbox{sk}_3 = a\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_2\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{app}(b,\mbox{cons}(a,\mbox{nil}))\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC095-1.p} cond\_insert\_x\_insert

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(a,b),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{app}(a,c)\ne \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_5,\mbox{sk}_6),\mbox{sk}_7) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_5,\mbox{sk}_7) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC245+1.p} cond\_pst\_pivoted3\_x\_run\_eq\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = u\mbox{ and }\forall x_2{:}\;( \neg\,\mbox{ssItem}(x_2)\mbox{ or }\neg\,\mbox{memberP}(z,x_2)\mbox{ or }\neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\neg\,\mbox{lt}(y,x_2)\mbox{ or }\mbox{leq}(y,x_2) ) ) ) )\mbox{ or }\forall x_3{:}\;( \neg\,\mbox{ssList}(x_3)\mbox{ or }\mbox{app}(w,x_3)\ne x\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists x_4{:}\;( \mbox{ssItem}(x_4)\mbox{ and }\exists x_5{:}\;( \mbox{ssList}(x_5)\mbox{ and }\mbox{app}(\mbox{cons}(x_4,\mbox{nil}),x_5) = x_3\mbox{ and }\exists x_6{:}\;( \mbox{ssList}(x_6)\mbox{ and }\mbox{app}(x_6,\mbox{cons}(x_4,\mbox{nil})) = w ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC074+1.p} cond\_id\_segment\_total2\_x\_rot\_r\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,y)\mbox{ and }\mbox{segmentP}(u,y) )\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1)\ne w\mbox{ and }\mbox{app}(x_1,\mbox{cons}(z,\mbox{nil})) = x ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \mbox{nil} = v\mbox{ and }\mbox{nil} = u ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC351+1.p} cond\_segment\_front\_ne\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ ( \mbox{app}(w,y)\ne x\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{app}(x_3,\mbox{cons}(x_2,\mbox{nil})) = w\mbox{ and }\mbox{lt}(x_2,z) ) ) ) ) ) )\mbox{ or }\mbox{frontsegP}(v,u)\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC304+1.p} cond\_pst\_top\_sorted\_x\_run\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(y,w),z)\ne x\mbox{ or }\neg\,\mbox{totalorderedP}(w)\mbox{ or }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(x_2,\mbox{cons}(x_1,\mbox{nil})) = y\mbox{ and }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\exists x_4{:}\;( \mbox{ssList}(x_4)\mbox{ and }\mbox{app}(\mbox{cons}(x_3,\mbox{nil}),x_4) = w\mbox{ and }\mbox{leq}(x_1,x_3) ) ) ) )\mbox{ or }\exists x_5{:}\;( \mbox{ssItem}(x_5)\mbox{ and }\exists x_6{:}\;( \mbox{ssList}(x_6)\mbox{ and }\mbox{app}(\mbox{cons}(x_5,\mbox{nil}),x_6) = z\mbox{ and }\exists x_7{:}\;( \mbox{ssItem}(x_7)\mbox{ and }\exists x_8{:}\;( \mbox{ssList}(x_8)\mbox{ and }\mbox{app}(x_8,\mbox{cons}(x_7,\mbox{nil})) = w\mbox{ and }\mbox{leq}(x_7,x_5) ) ) ) ) ) ) )\mbox{ or }\forall x_9{:}\;( \mbox{ssItem}(x_9) \ \Rightarrow \ \forall x_{10}{:}\;( \mbox{ssItem}(x_{10}) \ \Rightarrow \ \forall x_{11}{:}\;( \mbox{ssList}(x_{11}) \ \Rightarrow \ \forall x_{12}{:}\;( \mbox{ssList}(x_{12}) \ \Rightarrow \ \forall x_{13}{:}\;( \mbox{ssList}(x_{13}) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(x_{11},\mbox{cons}(x_9,\mbox{nil})),x_{12}),\mbox{cons}(x_{10},\mbox{nil})),x_{13})\ne u\mbox{ or }\neg\,\mbox{lt}(x_{10},x_9) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC061+1.p} cond\_id\_segment\_total1\_x\_rot\_l\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \neg\,\mbox{ssList}(z)\mbox{ or }\mbox{app}(\mbox{cons}(y,\mbox{nil}),z)\ne x\mbox{ or }\mbox{app}(z,\mbox{cons}(y,\mbox{nil}))\ne w ) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{neq}(x_1,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,x_1)\mbox{ and }\mbox{segmentP}(u,x_1) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC245-1.p} cond\_pst\_pivoted3\_x\_run\_eq\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{lt}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_6\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(c,\mbox{cons}(a,\mbox{nil}))\ne \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

\medskip\textbf{SWC147+1.p} cond\_pr\_works\_on\_pairs\_x\_ne\_segment

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil})\mbox{ or }\mbox{singletonP}(v) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC205-1.p} cond\_pst\_not\_nil\_ne\_x\_id\_nil\_iff

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_1,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

\medskip\textbf{SWC070-1.p} cond\_id\_segment\_total2\_x\_ne\_segment\_front\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC001-1.p} cond\_as\_set\_x\_as\_set

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{duplicatefreeP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_3,a) ) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_4,a)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a) ) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_3,a)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{duplicatefreeP}(\mbox{sk}_1) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{duplicatefreeP}(\mbox{sk}_1) \ \Rightarrow \ ( \mbox{memberP}(\mbox{sk}_2,\mbox{sk}_5)\mbox{ or }\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_5) )\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{memberP}(\mbox{sk}_2,\mbox{sk}_5)\mbox{ and }\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_5) ) \ \Rightarrow \ \neg\,\mbox{duplicatefreeP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC063-1.p} cond\_id\_segment\_total1\_x\_rot\_r\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{cons}(\mbox{sk}_5,\mbox{nil}),\mbox{sk}_6) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_1,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC419+1.p} cond\_turn\_x\_rot\_l\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = v\mbox{ and }\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),z) = u ) ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ \forall x_3{:}\;( \neg\,\mbox{ssList}(x_3)\mbox{ or }\mbox{app}(\mbox{cons}(x_2,\mbox{nil}),x_3)\ne x\mbox{ or }\mbox{app}(x_3,\mbox{cons}(x_2,\mbox{nil}))\ne w ) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC381-1.p} cond\_some1\_x\_some1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{cons}(a,\mbox{nil}) = \mbox{sk}_1\mbox{ and }\mbox{memberP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{cons}(a,\mbox{nil}) = \mbox{sk}_1\mbox{ and }\mbox{memberP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

\medskip\textbf{SWC300-1.p} cond\_pst\_top\_sorted\_x\_pst\_sorted1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{totalorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_8),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_9) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{lt}(\mbox{sk}_6,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC080+1.p} cond\_id\_segment\_x\_id\_front

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,y)\mbox{ and }\mbox{segmentP}(u,y) )\mbox{ or }\forall z{:}\;( \neg\,\mbox{ssList}(z)\mbox{ or }\neg\,\mbox{neq}(z,\mbox{nil})\mbox{ or }\neg\,\mbox{frontsegP}(x,z)\mbox{ or }\neg\,\mbox{frontsegP}(w,z) ) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC126+1.p} cond\_ne\_segment\_x\_some1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,y) ) )\mbox{ or }( \mbox{neq}(u,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,u) ) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC360+1.p} cond\_segment\_ne\_x\_run\_ord\_max1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\neg\,\mbox{totalorderedP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(w,y)\mbox{ and }\mbox{segmentP}(x,y)\mbox{ and }\mbox{segmentP}(y,w)\mbox{ and }\mbox{totalorderedP}(y) )\mbox{ or }\mbox{segmentP}(v,u) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC182-1.p} cond\_pst\_different3\_x\_initialize

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_7) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_6,\mbox{sk}_5)\mbox{ or }\mbox{memberP}(\mbox{sk}_7,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC146-1.p} cond\_pr\_works\_on\_pairs\_x\_id\_segment

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\neg\,\mbox{singletonP}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

\medskip\textbf{SWC142+1.p} cond\_pr\_works\_on\_nonempty\_x\_rot\_r1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC008-1.p} cond\_filter\_segment\_x\_run\_eq\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(a,b),c) = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{app}(a,c)\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{frontsegP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{equalelemsP}(a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

\medskip\textbf{SWC050-1.p} cond\_id\_rear\_x\_id\_rear

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{rearsegP}(\mbox{sk}_2,a)\mbox{ and }\mbox{rearsegP}(\mbox{sk}_1,a) ) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_5,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{rearsegP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{rearsegP}(\mbox{sk}_3,\mbox{sk}_5)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{rearsegP}(\mbox{sk}_2,a)\mbox{ and }\mbox{rearsegP}(\mbox{sk}_1,a) ) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_5,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{rearsegP}(\mbox{sk}_4,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{rearsegP}(\mbox{sk}_3,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

\medskip\textbf{SWC196+1.p} cond\_pst\_equal2\_x\_run\_eq\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ ( \mbox{app}(w,y)\ne x\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(x_2,\mbox{cons}(z,\mbox{nil})) = w ) ) ) ) )\mbox{ or }\forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \mbox{ssItem}(x_4) \ \Rightarrow \ \forall x_5{:}\;( \mbox{ssList}(x_5) \ \Rightarrow \ \forall x_6{:}\;( \mbox{ssList}(x_6) \ \Rightarrow \ \forall x_7{:}\;( \mbox{ssList}(x_7) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(x_5,\mbox{cons}(x_3,\mbox{nil})),x_7),\mbox{cons}(x_4,\mbox{nil})),x_6)\ne u\mbox{ or }x_3 = x_4 ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC005-1.p} cond\_filter\_ne\_segment\_x\_tail1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(a,b),c) = \mbox{sk}_2\mbox{ and }\mbox{app}(a,c) = \mbox{sk}_1\mbox{ and }\mbox{neq}(b,\mbox{nil}) ) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{tl}(\mbox{sk}_4) = a\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4) ) \ \Rightarrow \ ( \mbox{sk}_3 = a\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil}) )\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(a,b),c) = \mbox{sk}_2\mbox{ and }\mbox{app}(a,c) = \mbox{sk}_1\mbox{ and }\mbox{neq}(b,\mbox{nil}) ) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{tl}(\mbox{sk}_4) = a\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4)\mbox{ and }\mbox{neq}(\mbox{sk}_4,\mbox{nil}) ) \ \Rightarrow \ \mbox{sk}_3 = a\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC091-1.p} cond\_id\_segment\_x\_run\_ord\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{totalorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{frontsegP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{totalorderedP}(a)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

\medskip\textbf{SWC133+1.p} cond\_pr\_works\_on\_cycles\_x\_rot\_r2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{neq}(x,\mbox{nil})\mbox{ or }\mbox{cyclefreeP}(v) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC173-1.p} cond\_pst\_diff\_adj2\_x\_pivot

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_8) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_5,\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_{10})\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_{11})\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_9,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_{10},\mbox{sk}_3),\mbox{sk}_{11}) = \mbox{sk}_4\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_{10},a)\mbox{ and }\mbox{lt}(\mbox{sk}_9,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_{11},a)\mbox{ and }\mbox{lt}(a,\mbox{sk}_9) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_{10})\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{21},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_{11})\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{22},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_9,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{23},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_{10},\mbox{sk}_3),\mbox{sk}_{11}) = \mbox{sk}_4\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{24},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_{10},a)\mbox{ and }\mbox{lt}(\mbox{sk}_9,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{25},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_{11},a)\mbox{ and }\mbox{lt}(a,\mbox{sk}_9) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{26},\mbox{negated\_conjecture})$

\medskip\textbf{SWC202+1.p} cond\_pst\_equal3\_x\_run\_eq\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ ( \neg\,\mbox{memberP}(u,z)\mbox{ or }y = z ) ) )\mbox{ or }\forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(x_1,w),x_2)\ne x\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\exists x_4{:}\;( \mbox{ssList}(x_4)\mbox{ and }\mbox{app}(x_4,\mbox{cons}(x_3,\mbox{nil})) = x_1\mbox{ and }\exists x_5{:}\;( \mbox{ssList}(x_5)\mbox{ and }\mbox{app}(\mbox{cons}(x_3,\mbox{nil}),x_5) = w ) ) )\mbox{ or }\exists x_6{:}\;( \mbox{ssItem}(x_6)\mbox{ and }\exists x_7{:}\;( \mbox{ssList}(x_7)\mbox{ and }\mbox{app}(\mbox{cons}(x_6,\mbox{nil}),x_7) = x_2\mbox{ and }\exists x_8{:}\;( \mbox{ssList}(x_8)\mbox{ and }\mbox{app}(x_8,\mbox{cons}(x_6,\mbox{nil})) = w ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC113+1.p} cond\_ne\_segment\_total1\_x\_some\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }( \forall y{:}\;( \neg\,\mbox{ssItem}(y)\mbox{ or }\mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,y) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }( \mbox{neq}(u,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,u) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC057+1.p} cond\_id\_segment\_total1\_x\_ne\_segment\_front\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,y)\mbox{ and }\mbox{segmentP}(u,y) ) ) )\mbox{ or }( ( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w )\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\neg\,\mbox{frontsegP}(x,w) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC112+1.p} cond\_ne\_segment\_total1\_x\_run\_strict\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(y,w),z)\ne x\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(x_2,\mbox{cons}(x_1,\mbox{nil})) = y\mbox{ and }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\exists x_4{:}\;( \mbox{ssList}(x_4)\mbox{ and }\mbox{app}(\mbox{cons}(x_3,\mbox{nil}),x_4) = w\mbox{ and }\mbox{lt}(x_1,x_3) ) ) ) )\mbox{ or }\exists x_5{:}\;( \mbox{ssItem}(x_5)\mbox{ and }\exists x_6{:}\;( \mbox{ssList}(x_6)\mbox{ and }\mbox{app}(\mbox{cons}(x_5,\mbox{nil}),x_6) = z\mbox{ and }\exists x_7{:}\;( \mbox{ssItem}(x_7)\mbox{ and }\exists x_8{:}\;( \mbox{ssList}(x_8)\mbox{ and }\mbox{app}(x_8,\mbox{cons}(x_7,\mbox{nil})) = w\mbox{ and }\mbox{lt}(x_7,x_5) ) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }( \mbox{neq}(u,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,u) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC309+1.p} cond\_rot\_l2\_x\_rot\_l\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{app}(\mbox{cons}(y,\mbox{nil}),z) = v\mbox{ and }\mbox{app}(z,\mbox{cons}(y,\mbox{nil})) = u ) )\mbox{ or }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(x_2,\mbox{cons}(x_1,\mbox{nil}))\ne w\mbox{ and }\mbox{app}(\mbox{cons}(x_1,\mbox{nil}),x_2) = x ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC111+1.p} cond\_ne\_segment\_total1\_x\_run\_ord\_max1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\neg\,\mbox{totalorderedP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(w,y)\mbox{ and }\mbox{segmentP}(x,y)\mbox{ and }\mbox{segmentP}(y,w)\mbox{ and }\mbox{totalorderedP}(y) )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }( \mbox{neq}(u,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,u) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC123-1.p} cond\_ne\_segment\_x\_run\_eq\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{frontsegP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{equalelemsP}(a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_1,\mbox{nil}) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

\medskip\textbf{SWC095+1.p} cond\_insert\_x\_insert

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(y,z),x_1) = u\mbox{ and }\mbox{app}(y,x_1) = v ) ) )\mbox{ or }\forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ \forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \neg\,\mbox{ssList}(x_4)\mbox{ or }\mbox{app}(\mbox{app}(x_2,x_3),x_4)\ne w\mbox{ or }\mbox{app}(x_2,x_4)\ne x ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC417+1.p} cond\_turn\_x\_rot\_l2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = v\mbox{ and }\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),z) = u ) ) )\mbox{ or }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ \forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ ( \mbox{app}(\mbox{cons}(x_2,\mbox{nil}),x_3)\ne x\mbox{ or }\mbox{app}(x_3,\mbox{cons}(x_2,\mbox{nil}))\ne w ) ) ) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC122+1.p} cond\_ne\_segment\_x\_ne\_segment\_rear\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \mbox{neq}(u,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,u) )\mbox{ or }( \mbox{neq}(x,\mbox{nil})\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\neg\,\mbox{rearsegP}(x,w) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC329-1.p} cond\_run\_eq\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_5,a) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_4 )\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_5,a) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_3 )\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) \ \Rightarrow \ \neg\,\mbox{equalelemsP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC158-1.p} cond\_pst\_cyc\_sorted\_x\_run\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{totalorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{leq}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_{10})\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_8,\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_9),\mbox{cons}(\mbox{sk}_7,\mbox{nil})),\mbox{sk}_{10}) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_7,\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_6,\mbox{sk}_7) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_{11})\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_6,\mbox{sk}_7) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_9,\mbox{sk}_{11})\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$( \mbox{leq}(\mbox{sk}_6,\mbox{sk}_{11})\mbox{ and }\mbox{leq}(\mbox{sk}_{11},\mbox{sk}_7) ) \ \Rightarrow \ \neg\,\mbox{leq}(\mbox{sk}_6,\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{21},\mbox{negated\_conjecture})$

\medskip\textbf{SWC266-1.p} cond\_pst\_sorted1\_x\_run\_eq

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\neg\,\mbox{totalorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

\medskip\textbf{SWC378-1.p} cond\_set\_eq\_x\_rotate

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_5,\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_6,\mbox{sk}_5) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_2,\mbox{sk}_7)\mbox{ or }\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_2,\mbox{sk}_7) \ \Rightarrow \ \neg\,\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

\medskip\textbf{SWC317-1.p} cond\_rot\_r2\_x\_rot\_r2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_1\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{cons}(\mbox{sk}_5,\mbox{nil}),\mbox{sk}_6) = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_1\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_2 ) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{cons}(\mbox{sk}_5,\mbox{nil}),\mbox{sk}_6) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

\medskip\textbf{SWC247-1.p} cond\_pst\_pivoted3\_x\_run\_ord\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{totalorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{frontsegP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{totalorderedP}(a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{lt}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC076+1.p} cond\_id\_segment\_total2\_x\_run\_eq\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,y)\mbox{ and }\mbox{segmentP}(u,y) )\mbox{ or }\forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(z,w),x_1)\ne x\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{app}(x_3,\mbox{cons}(x_2,\mbox{nil})) = z\mbox{ and }\exists x_4{:}\;( \mbox{ssList}(x_4)\mbox{ and }\mbox{app}(\mbox{cons}(x_2,\mbox{nil}),x_4) = w ) ) )\mbox{ or }\exists x_5{:}\;( \mbox{ssItem}(x_5)\mbox{ and }\exists x_6{:}\;( \mbox{ssList}(x_6)\mbox{ and }\mbox{app}(\mbox{cons}(x_5,\mbox{nil}),x_6) = x_1\mbox{ and }\exists x_7{:}\;( \mbox{ssList}(x_7)\mbox{ and }\mbox{app}(x_7,\mbox{cons}(x_5,\mbox{nil})) = w ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w )\mbox{ or }( \mbox{nil} = v\mbox{ and }\mbox{nil} = u ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC267+1.p} cond\_pst\_sorted1\_x\_run\_eq\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{frontsegP}(x,w)\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(w,y)\mbox{ and }\mbox{frontsegP}(x,y)\mbox{ and }\mbox{segmentP}(y,w)\mbox{ and }\mbox{equalelemsP}(y) )\mbox{ or }\mbox{totalorderedP}(u) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC029+1.p} cond\_id\_nil\_iff\_x\_rot\_l\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ ( \mbox{app}(\mbox{cons}(y,\mbox{nil}),z)\ne x\mbox{ or }\mbox{app}(z,\mbox{cons}(y,\mbox{nil}))\ne w ) ) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \mbox{nil}\ne u\mbox{ or }\mbox{nil} = v ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC208-1.p} cond\_pst\_not\_nil\_ne\_x\_ne\_segment\_front\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_1,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC132+1.p} cond\_pr\_works\_on\_cycles\_x\_rot\_l2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{neq}(x,\mbox{nil})\mbox{ or }\mbox{cyclefreeP}(v) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC250+1.p} cond\_pst\_pivoted3\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = u\mbox{ and }\forall x_2{:}\;( \neg\,\mbox{ssItem}(x_2)\mbox{ or }\neg\,\mbox{memberP}(z,x_2)\mbox{ or }\neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\neg\,\mbox{lt}(y,x_2)\mbox{ or }\mbox{leq}(y,x_2) ) ) ) )\mbox{ or }\forall x_3{:}\;( \neg\,\mbox{ssList}(x_3)\mbox{ or }\mbox{app}(w,x_3)\ne x\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists x_4{:}\;( \mbox{ssItem}(x_4)\mbox{ and }\exists x_5{:}\;( \mbox{ssList}(x_5)\mbox{ and }\mbox{app}(\mbox{cons}(x_4,\mbox{nil}),x_5) = x_3\mbox{ and }\exists x_6{:}\;( \mbox{ssItem}(x_6)\mbox{ and }\exists x_7{:}\;( \mbox{ssList}(x_7)\mbox{ and }\mbox{app}(x_7,\mbox{cons}(x_6,\mbox{nil})) = w\mbox{ and }\mbox{lt}(x_6,x_4) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC200-1.p} cond\_pst\_equal3\_x\_pst\_singleton

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{singletonP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(a) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(a) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_1,\mbox{sk}_5(a))\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(a) \ \Rightarrow \ a\ne \mbox{sk}_5(a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

\medskip\textbf{SWC141+1.p} cond\_pr\_works\_on\_nonempty\_x\_rot\_l1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC053+1.p} cond\_id\_segment\_total1\_x\_id\_front\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( \forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ ( \neg\,\mbox{neq}(y,\mbox{nil})\mbox{ or }\neg\,\mbox{frontsegP}(x,y)\mbox{ or }\neg\,\mbox{frontsegP}(w,y) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{neq}(z,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,z)\mbox{ and }\mbox{segmentP}(u,z) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC350-1.p} cond\_segment\_front\_ne\_x\_run\_eq\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{frontsegP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{equalelemsP}(a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\neg\,\mbox{frontsegP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

\medskip\textbf{SWC106-1.p} cond\_ne\_segment\_rear\_x\_last

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{neq}(\mbox{sk}_1,\mbox{nil})\mbox{ and }\mbox{rearsegP}(\mbox{sk}_2,\mbox{sk}_1) ) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$( \mbox{neq}(\mbox{sk}_1,\mbox{nil})\mbox{ and }\mbox{rearsegP}(\mbox{sk}_2,\mbox{sk}_1) ) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

\medskip\textbf{SWC002-1.p} cond\_del\_max\_x\_del\_max

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_2\mbox{ and }\mbox{app}(b,c) = \mbox{sk}_1 ) \ \Rightarrow \ ( \mbox{ssItem}(\mbox{sk}_5(c,b,a))\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil}) )\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_2\mbox{ and }\mbox{app}(b,c) = \mbox{sk}_1 ) \ \Rightarrow \ ( \mbox{memberP}(\mbox{sk}_2,\mbox{sk}_5(c,b,a))\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil}) )\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_2\mbox{ and }\mbox{app}(b,c) = \mbox{sk}_1 ) \ \Rightarrow \ ( \mbox{geq}(\mbox{sk}_5(c,b,a),a)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil}) )\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_2\mbox{ and }\mbox{app}(b,c) = \mbox{sk}_1\mbox{ and }a = \mbox{sk}_5(c,b,a) ) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_8) = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_7,\mbox{sk}_8) = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{geq}(a,\mbox{sk}_6) ) \ \Rightarrow \ ( \mbox{sk}_6 = a\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil}) )\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_2\mbox{ and }\mbox{app}(b,c) = \mbox{sk}_1\mbox{ and }\mbox{neq}(\mbox{sk}_4,\mbox{nil}) ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_2\mbox{ and }\mbox{app}(b,c) = \mbox{sk}_1\mbox{ and }\mbox{neq}(\mbox{sk}_4,\mbox{nil}) ) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_2,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_2\mbox{ and }\mbox{app}(b,c) = \mbox{sk}_1\mbox{ and }\mbox{neq}(\mbox{sk}_4,\mbox{nil}) ) \ \Rightarrow \ \mbox{geq}(\mbox{sk}_5(c,b,a),a)\qquad\mbox{cnf}(\mbox{co1}_{21},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_2\mbox{ and }\mbox{app}(b,c) = \mbox{sk}_1\mbox{ and }a = \mbox{sk}_5(c,b,a) ) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{22},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{23},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{24},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{25},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_8) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{26},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{sk}_7,\mbox{sk}_8) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{27},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{geq}(a,\mbox{sk}_6)\mbox{ and }\mbox{neq}(\mbox{sk}_4,\mbox{nil}) ) \ \Rightarrow \ \mbox{sk}_6 = a\qquad\mbox{cnf}(\mbox{co1}_{28},\mbox{negated\_conjecture})$

\medskip\textbf{SWC111-1.p} cond\_ne\_segment\_total1\_x\_run\_ord\_max1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{totalorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{totalorderedP}(a)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{neq}(\mbox{sk}_1,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{neq}(\mbox{sk}_1,\mbox{nil}) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

\medskip\textbf{SWC220-1.p} cond\_pst\_pivoted1\_x\_pst\_pivoted1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{leq}(\mbox{sk}_5(c,b,a),a)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_8) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_7,a)\mbox{ and }\mbox{memberP}(\mbox{sk}_8,a)\mbox{ and }\mbox{leq}(\mbox{sk}_6,a) ) \ \Rightarrow \ ( \mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{leq}(a,\mbox{sk}_6) )\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

\medskip\textbf{SWC059-1.p} cond\_id\_segment\_total1\_x\_ne\_segment\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_1,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

\medskip\textbf{SWC122-1.p} cond\_ne\_segment\_x\_ne\_segment\_rear\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_1,\mbox{nil}) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{rearsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

\medskip\textbf{SWC083-1.p} cond\_id\_segment\_x\_insert

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_5,\mbox{sk}_6),\mbox{sk}_7) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_5,\mbox{sk}_7) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

\medskip\textbf{SWC135+1.p} cond\_pr\_works\_on\_cycles\_x\_tail2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{neq}(x,\mbox{nil})\mbox{ or }\mbox{cyclefreeP}(v) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC243+1.p} cond\_pst\_pivoted3\_x\_pst\_sorted1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{totalorderedP}(w)\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = u\mbox{ and }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ ( \neg\,\mbox{memberP}(z,x_2)\mbox{ or }\neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\neg\,\mbox{lt}(y,x_2)\mbox{ or }\mbox{leq}(y,x_2) ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC259+1.p} cond\_pst\_sorted1\_x\_pivot

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{totalorderedP}(u)\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ \forall x_1{:}\;( \neg\,\mbox{ssList}(x_1)\mbox{ or }\mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\mbox{app}(\mbox{app}(z,w),x_1)\ne x\mbox{ or }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\mbox{memberP}(z,x_2)\mbox{ and }\mbox{lt}(y,x_2) )\mbox{ or }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\mbox{memberP}(x_1,x_3)\mbox{ and }\mbox{lt}(x_3,y) ) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC207+1.p} cond\_pst\_not\_nil\_ne\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(u,\mbox{nil})\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,y)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }y\ne z\mbox{ and }\mbox{memberP}(x,z)\mbox{ and }\mbox{leq}(y,z) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC166-1.p} cond\_pst\_diff\_adj1\_x\_pst\_singleton

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{singletonP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_8) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_5,\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

\medskip\textbf{SWC201+1.p} cond\_pst\_equal3\_x\_run\_eq\_max1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(w,y)\mbox{ and }\mbox{segmentP}(x,y)\mbox{ and }\mbox{segmentP}(y,w)\mbox{ and }\mbox{equalelemsP}(y) )\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\forall x_1{:}\;( \mbox{ssItem}(x_1) \ \Rightarrow \ ( \neg\,\mbox{memberP}(u,x_1)\mbox{ or }z = x_1 ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC325-1.p} cond\_rotate\_x\_rot\_r\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(a,b) = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{app}(b,a)\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{cons}(\mbox{sk}_5,\mbox{nil}),\mbox{sk}_6) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC302+1.p} cond\_pst\_top\_sorted\_x\_run\_ord

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\neg\,\mbox{totalorderedP}(w)\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ \forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),x_2),\mbox{cons}(z,\mbox{nil})),x_3)\ne u\mbox{ or }\neg\,\mbox{lt}(z,y) ) ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC157-1.p} cond\_pst\_cyc\_sorted\_x\_run\_eq\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_5,\mbox{sk}_3),\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_5\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(\mbox{cons}(a,\mbox{nil}),c)\ne \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_6\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(c,\mbox{cons}(a,\mbox{nil}))\ne \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_{10})\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_{11})\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_9,\mbox{cons}(\mbox{sk}_7,\mbox{nil})),\mbox{sk}_{10}),\mbox{cons}(\mbox{sk}_8,\mbox{nil})),\mbox{sk}_{11}) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_8,\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_7,\mbox{sk}_8) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_{12})\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_7,\mbox{sk}_8) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_{10},\mbox{sk}_{12})\qquad\mbox{cnf}(\mbox{co1}_{21},\mbox{negated\_conjecture})$

$( \mbox{leq}(\mbox{sk}_7,\mbox{sk}_{12})\mbox{ and }\mbox{leq}(\mbox{sk}_{12},\mbox{sk}_8) ) \ \Rightarrow \ \neg\,\mbox{leq}(\mbox{sk}_7,\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{22},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{23},\mbox{negated\_conjecture})$

\medskip\textbf{SWC116-1.p} cond\_ne\_segment\_total2\_x\_ne\_segment\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_1,\mbox{nil}) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

\medskip\textbf{SWC018-1.p} cond\_id\_front\_total1\_x\_run\_eq\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(c,\mbox{cons}(a,\mbox{nil}))\ne \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{frontsegP}(\mbox{sk}_2,a)\mbox{ and }\mbox{frontsegP}(\mbox{sk}_1,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{frontsegP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{frontsegP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC280-1.p} cond\_pst\_sorted2\_x\_run\_eq\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(c,\mbox{cons}(a,\mbox{nil}))\ne \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_8) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_7,\mbox{sk}_9)\mbox{ or }\mbox{memberP}(\mbox{sk}_8,\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_6,\mbox{sk}_9) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_7,\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_9,\mbox{sk}_6) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_8,\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_9,\mbox{sk}_6) \ \Rightarrow \ \neg\,\mbox{leq}(\mbox{sk}_6,\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

\medskip\textbf{SWC033-1.p} cond\_id\_nil\_iff\_x\_set\_min\_elems

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a) ) \ \Rightarrow \ ( \mbox{memberP}(\mbox{sk}_3,a)\mbox{ or }\mbox{ssItem}(\mbox{sk}_5(a)) )\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a) ) \ \Rightarrow \ ( \mbox{memberP}(\mbox{sk}_3,a)\mbox{ or }\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5(a)) )\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a) ) \ \Rightarrow \ ( \mbox{memberP}(\mbox{sk}_3,a)\mbox{ or }\mbox{leq}(\mbox{sk}_5(a),a) )\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }a = \mbox{sk}_5(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a) ) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_3,a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_3,a) ) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_4,a)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_3,a)\mbox{ and }\mbox{ssItem}(b)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,b)\mbox{ and }\mbox{leq}(b,a) ) \ \Rightarrow \ a = b\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{nil} = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

\medskip\textbf{SWC079-1.p} cond\_id\_segment\_x\_head1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_1,a) ) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssItem}(b)\mbox{ and }\mbox{cons}(b,\mbox{nil}) = a\mbox{ and }\mbox{hd}(\mbox{sk}_4) = b\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4) ) \ \Rightarrow \ ( \mbox{sk}_3 = a\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil}) )\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_1,a) ) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssItem}(b)\mbox{ and }\mbox{cons}(b,\mbox{nil}) = a\mbox{ and }\mbox{hd}(\mbox{sk}_4) = b\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4)\mbox{ and }\mbox{neq}(\mbox{sk}_4,\mbox{nil}) ) \ \Rightarrow \ \mbox{sk}_3 = a\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC238-1.p} cond\_pst\_pivoted2\_x\_run\_strict\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{lt}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{sk}_3),\mbox{sk}_7) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_6\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(\mbox{cons}(c,\mbox{nil}),d) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(a,c)\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_7\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

\medskip\textbf{SWC395+1.p} cond\_subst\_x\_rot\_l\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \neg\,\mbox{ssItem}(y)\mbox{ or }\neg\,\mbox{memberP}(u,y)\mbox{ or }\mbox{memberP}(v,y) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \exists z{:}\;( \mbox{ssList}(z)\mbox{ and }w\ne z\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{tl}(x) = x_1\mbox{ and }\mbox{app}(x_1,x_2) = z\mbox{ and }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\mbox{cons}(x_3,\mbox{nil}) = x_2\mbox{ and }\mbox{hd}(x) = x_3\mbox{ and }\mbox{neq}(\mbox{nil},x) )\mbox{ and }\mbox{neq}(\mbox{nil},x) ) ) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC029-1.p} cond\_id\_nil\_iff\_x\_rot\_l\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{cons}(\mbox{sk}_5,\mbox{nil}),\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{nil} = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC125-1.p} cond\_ne\_segment\_x\_run\_strict\_ord\_max1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{strictorderedP}(a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_1,\mbox{nil}) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

\medskip\textbf{SWC054+1.p} cond\_id\_segment\_total1\_x\_id\_segment\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \forall y{:}\;( \neg\,\mbox{ssList}(y)\mbox{ or }\neg\,\mbox{neq}(y,\mbox{nil})\mbox{ or }\neg\,\mbox{segmentP}(x,y)\mbox{ or }\neg\,\mbox{segmentP}(w,y) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{neq}(z,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,z)\mbox{ and }\mbox{segmentP}(u,z) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC152-1.p} cond\_pst\_cyc\_sorted\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_8),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_9) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_6,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_5,\mbox{sk}_6) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_{10})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_5,\mbox{sk}_6) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_8,\mbox{sk}_{10})\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$( \mbox{leq}(\mbox{sk}_5,\mbox{sk}_{10})\mbox{ and }\mbox{leq}(\mbox{sk}_{10},\mbox{sk}_6) ) \ \Rightarrow \ \neg\,\mbox{leq}(\mbox{sk}_5,\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_{11})\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_{11})\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_{11},\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_{11})\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_{11},a) ) \ \Rightarrow \ ( \mbox{sk}_{11} = a\mbox{ or }\mbox{nil} = \mbox{sk}_4 )\qquad\mbox{cnf}(\mbox{co1}_{21},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_{11},\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{22},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_{11})\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{23},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_{11},a) ) \ \Rightarrow \ ( \mbox{sk}_{11} = a\mbox{ or }\mbox{nil} = \mbox{sk}_3 )\qquad\mbox{cnf}(\mbox{co1}_{24},\mbox{negated\_conjecture})$

\medskip\textbf{SWC303-1.p} cond\_pst\_top\_sorted\_x\_run\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_4 = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_3 = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{totalorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{leq}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_{10})\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_8,\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_9),\mbox{cons}(\mbox{sk}_7,\mbox{nil})),\mbox{sk}_{10}) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{lt}(\mbox{sk}_7,\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

\medskip\textbf{SWC150-1.p} cond\_pr\_works\_on\_pairs\_x\_tail1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\neg\,\mbox{singletonP}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

\medskip\textbf{SWC177+1.p} cond\_pst\_diff\_adj2\_x\_some\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \neg\,\mbox{ssItem}(z)\mbox{ or }\forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ \mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),\mbox{cons}(z,\mbox{nil})),x_2)\ne u ) )\mbox{ or }\mbox{neq}(y,z) ) )\mbox{ or }( \forall x_3{:}\;( \neg\,\mbox{ssItem}(x_3)\mbox{ or }\mbox{cons}(x_3,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,x_3) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC212-1.p} cond\_pst\_not\_nil\_ne\_x\_rot\_r\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_4 ) \ \Rightarrow \ \mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_1,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

\medskip\textbf{SWC279+1.p} cond\_pst\_sorted2\_x\_pst\_sorted2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = w\mbox{ and }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }( ( \neg\,\mbox{leq}(y,x_2)\mbox{ and }\mbox{memberP}(x_1,x_2) )\mbox{ or }( \neg\,\mbox{leq}(x_2,y)\mbox{ and }\mbox{memberP}(z,x_2) ) ) ) ) ) )\mbox{ or }\forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \mbox{ssList}(x_4) \ \Rightarrow \ \forall x_5{:}\;( \mbox{ssList}(x_5) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(x_4,\mbox{cons}(x_3,\mbox{nil})),x_5)\ne u\mbox{ or }\forall x_6{:}\;( \mbox{ssItem}(x_6) \ \Rightarrow \ ( ( \neg\,\mbox{memberP}(x_4,x_6)\mbox{ or }\mbox{leq}(x_6,x_3) )\mbox{ and }( \neg\,\mbox{memberP}(x_5,x_6)\mbox{ or }\mbox{leq}(x_3,x_6) ) ) ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC336-1.p} cond\_run\_ord\_x\_pivot

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{sk}_3),\mbox{sk}_7) = \mbox{sk}_4\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_6,a)\mbox{ and }\mbox{lt}(\mbox{sk}_5,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_7,a)\mbox{ and }\mbox{lt}(a,\mbox{sk}_5) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{sk}_3),\mbox{sk}_7) = \mbox{sk}_4\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_6,a)\mbox{ and }\mbox{lt}(\mbox{sk}_5,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_7,a)\mbox{ and }\mbox{lt}(a,\mbox{sk}_5) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) \ \Rightarrow \ \neg\,\mbox{totalorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{21},\mbox{negated\_conjecture})$

\medskip\textbf{SWC406-1.p} cond\_subst\_x\_set\_min\_elems

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a) ) \ \Rightarrow \ ( \mbox{memberP}(\mbox{sk}_3,a)\mbox{ or }\mbox{ssItem}(\mbox{sk}_5(a)) )\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a) ) \ \Rightarrow \ ( \mbox{memberP}(\mbox{sk}_3,a)\mbox{ or }\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5(a)) )\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a) ) \ \Rightarrow \ ( \mbox{memberP}(\mbox{sk}_3,a)\mbox{ or }\mbox{leq}(\mbox{sk}_5(a),a) )\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }a = \mbox{sk}_5(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a) ) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_3,a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_3,a) ) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_4,a)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_3,a)\mbox{ and }\mbox{ssItem}(b)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,b)\mbox{ and }\mbox{leq}(b,a) ) \ \Rightarrow \ a = b\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\neg\,\mbox{memberP}(\mbox{sk}_2,\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC328+1.p} cond\_run\_eq\_x\_initialize

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( \mbox{nil}\ne w\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }( \mbox{segmentP}(v,u)\mbox{ and }\mbox{equalelemsP}(u) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC108-1.p} cond\_ne\_segment\_total1\_x\_ne\_segment\_rear\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{neq}(\mbox{sk}_1,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{neq}(\mbox{sk}_1,\mbox{nil}) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{rearsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{rearsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC139+1.p} cond\_pr\_works\_on\_nonempty\_x\_id\_rear

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC075+1.p} cond\_id\_segment\_total2\_x\_rotate

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,y)\mbox{ and }\mbox{segmentP}(u,y) )\mbox{ or }\forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ \forall x_1{:}\;( \neg\,\mbox{ssList}(x_1)\mbox{ or }\mbox{app}(z,x_1)\ne x\mbox{ or }\mbox{app}(x_1,z)\ne w ) )\mbox{ or }( \mbox{nil} = v\mbox{ and }\mbox{nil} = u ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC222+1.p} cond\_pst\_pivoted1\_x\_pst\_pivoted3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = u\mbox{ and }\forall x_2{:}\;( \neg\,\mbox{ssItem}(x_2)\mbox{ or }\neg\,\mbox{memberP}(z,x_2)\mbox{ or }\neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\neg\,\mbox{leq}(y,x_2)\mbox{ or }\mbox{leq}(x_2,y) ) ) ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \mbox{ssList}(x_4) \ \Rightarrow \ \forall x_5{:}\;( \neg\,\mbox{ssList}(x_5)\mbox{ or }\mbox{app}(\mbox{app}(x_4,\mbox{cons}(x_3,\mbox{nil})),x_5)\ne w\mbox{ or }\exists x_6{:}\;( \mbox{ssItem}(x_6)\mbox{ and }\neg\,\mbox{leq}(x_3,x_6)\mbox{ and }\mbox{memberP}(x_4,x_6)\mbox{ and }\mbox{memberP}(x_5,x_6)\mbox{ and }\mbox{lt}(x_3,x_6) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC020+1.p} cond\_id\_front\_total2\_x\_ne\_segment\_front\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{frontsegP}(v,y)\mbox{ and }\mbox{frontsegP}(u,y) )\mbox{ or }( \mbox{nil} = v\mbox{ and }\mbox{nil} = u )\mbox{ or }( ( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w )\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\neg\,\mbox{frontsegP}(x,w) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC045-1.p} cond\_id\_nil\_x\_set\_duplicate\_elems

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{segmentP}(\mbox{sk}_4,\mbox{app}(\mbox{app}(\mbox{cons}(a,\mbox{nil}),b),\mbox{cons}(a,\mbox{nil}))) ) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_3,a)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_3,a) ) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_5(a))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_3,a) ) \ \Rightarrow \ \mbox{segmentP}(\mbox{sk}_4,\mbox{app}(\mbox{app}(\mbox{cons}(a,\mbox{nil}),\mbox{sk}_5(a)),\mbox{cons}(a,\mbox{nil})))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

\medskip\textbf{SWC180-1.p} cond\_pst\_different2\_x\_pst\_strict\_sorted2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_3\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{memberP}(c,d) ) \ \Rightarrow \ \mbox{lt}(a,d)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_3\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{memberP}(b,d) ) \ \Rightarrow \ \mbox{lt}(d,a)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\neg\,\mbox{duplicatefreeP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

\medskip\textbf{SWC370+1.p} cond\_segment\_x\_run\_eq\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ ( \mbox{app}(w,y)\ne x\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(x_2,\mbox{cons}(z,\mbox{nil})) = w ) ) ) ) )\mbox{ or }\mbox{segmentP}(v,u)\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC281+1.p} cond\_pst\_sorted2\_x\_run\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ ( \mbox{app}(w,y)\ne x\mbox{ or }\neg\,\mbox{totalorderedP}(w)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{app}(x_3,\mbox{cons}(x_2,\mbox{nil})) = w\mbox{ and }\mbox{leq}(x_2,z) ) ) ) ) ) )\mbox{ or }\forall x_4{:}\;( \mbox{ssItem}(x_4) \ \Rightarrow \ \forall x_5{:}\;( \mbox{ssList}(x_5) \ \Rightarrow \ \forall x_6{:}\;( \mbox{ssList}(x_6) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(x_5,\mbox{cons}(x_4,\mbox{nil})),x_6)\ne u\mbox{ or }\forall x_7{:}\;( \mbox{ssItem}(x_7) \ \Rightarrow \ ( ( \neg\,\mbox{memberP}(x_5,x_7)\mbox{ or }\mbox{leq}(x_7,x_4) )\mbox{ and }( \neg\,\mbox{memberP}(x_6,x_7)\mbox{ or }\mbox{leq}(x_4,x_7) ) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC332-1.p} cond\_run\_eq\_x\_some\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{singletonP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) \ \Rightarrow \ \neg\,\mbox{equalelemsP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

\medskip\textbf{SWC405-1.p} cond\_subst\_x\_set\_eq

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_3,a) ) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_4,a)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a) ) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_3,a)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\neg\,\mbox{memberP}(\mbox{sk}_2,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

\medskip\textbf{SWC187-1.p} cond\_pst\_different3\_x\_some\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_7) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_6,\mbox{sk}_5)\mbox{ or }\mbox{memberP}(\mbox{sk}_7,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_8)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_8)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_8,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_8)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_8,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_8)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

\medskip\textbf{SWC197-1.p} cond\_pst\_equal2\_x\_some\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_9),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_8) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{sk}_5\ne \mbox{sk}_6\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{singletonP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC058+1.p} cond\_id\_segment\_total1\_x\_ne\_segment\_rear\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,y)\mbox{ and }\mbox{segmentP}(u,y) ) ) )\mbox{ or }( ( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w )\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\neg\,\mbox{rearsegP}(x,w) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC401-1.p} cond\_subst\_x\_run\_ord\_max1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{totalorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{totalorderedP}(a)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\neg\,\mbox{memberP}(\mbox{sk}_2,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC086-1.p} cond\_id\_segment\_x\_ne\_segment\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC248-1.p} cond\_pst\_pivoted3\_x\_run\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{lt}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{sk}_3),\mbox{sk}_7) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{totalorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_6\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(\mbox{cons}(c,\mbox{nil}),d) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{leq}(a,c)\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_7\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{leq}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

\medskip\textbf{SWC007-1.p} cond\_filter\_segment\_x\_initialize

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(a,b),c) = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{app}(a,c)\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

\medskip\textbf{SWC308+1.p} cond\_rot\_l1\_x\_rot\_l\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }u = y\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{tl}(v) = z\mbox{ and }\mbox{app}(z,x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\mbox{cons}(x_2,\mbox{nil}) = x_1\mbox{ and }\mbox{hd}(v) = x_2\mbox{ and }\mbox{neq}(\mbox{nil},v) )\mbox{ and }\mbox{neq}(\mbox{nil},v) ) ) )\mbox{ or }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\exists x_4{:}\;( \mbox{ssList}(x_4)\mbox{ and }\mbox{app}(x_4,\mbox{cons}(x_3,\mbox{nil}))\ne w\mbox{ and }\mbox{app}(\mbox{cons}(x_3,\mbox{nil}),x_4) = x ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC419-1.p} cond\_turn\_x\_rot\_l\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{app}(\mbox{app}(c,\mbox{cons}(a,\mbox{nil})),b)\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{cons}(\mbox{sk}_5,\mbox{nil}),\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

\medskip\textbf{SWC397+1.p} cond\_subst\_x\_rot\_r\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \neg\,\mbox{memberP}(u,y)\mbox{ or }\mbox{memberP}(v,y) ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ ( \mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1)\ne w\mbox{ or }\mbox{app}(x_1,\mbox{cons}(z,\mbox{nil}))\ne x ) ) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC320+1.p} cond\_rot\_r\_total2\_x\_rot\_r\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \neg\,\mbox{ssList}(z)\mbox{ or }\mbox{app}(\mbox{cons}(y,\mbox{nil}),z)\ne w\mbox{ or }\mbox{app}(z,\mbox{cons}(y,\mbox{nil}))\ne x ) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(\mbox{cons}(x_1,\mbox{nil}),x_2) = u\mbox{ and }\mbox{app}(x_2,\mbox{cons}(x_1,\mbox{nil})) = v ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC234-1.p} cond\_pst\_pivoted2\_x\_run\_eq\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{lt}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_6\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(c,\mbox{cons}(a,\mbox{nil}))\ne \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

\medskip\textbf{SWC201-1.p} cond\_pst\_equal3\_x\_run\_eq\_max1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{equalelemsP}(a)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(a) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(a))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssItem}(a) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_1,\mbox{sk}_5(a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssItem}(a) \ \Rightarrow \ a\ne \mbox{sk}_5(a)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC124+1.p} cond\_ne\_segment\_x\_run\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ ( \mbox{app}(w,y)\ne x\mbox{ or }\neg\,\mbox{totalorderedP}(w)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{app}(x_3,\mbox{cons}(x_2,\mbox{nil})) = w\mbox{ and }\mbox{leq}(x_2,z) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w )\mbox{ or }( \mbox{neq}(u,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,u) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC410+1.p} cond\_superst\_x\_rot\_r\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \neg\,\mbox{memberP}(v,y)\mbox{ or }\mbox{memberP}(u,y) ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \mbox{neq}(x,\mbox{nil})\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }x\ne z\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{tl}(w) = x_1\mbox{ and }\mbox{app}(x_1,x_2) = z\mbox{ and }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\mbox{cons}(x_3,\mbox{nil}) = x_2\mbox{ and }\mbox{hd}(w) = x_3\mbox{ and }\mbox{neq}(\mbox{nil},w) )\mbox{ and }\mbox{neq}(\mbox{nil},w) ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC114+1.p} cond\_ne\_segment\_total2\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( \mbox{nil} = v\mbox{ and }\mbox{nil} = u )\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,y)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }y\ne z\mbox{ and }\mbox{memberP}(x,z)\mbox{ and }\mbox{leq}(y,z) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) )\mbox{ or }( \mbox{neq}(u,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,u) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC155+1.p} cond\_pst\_cyc\_sorted\_x\_pst\_sorted2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = w\mbox{ and }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }( ( \neg\,\mbox{leq}(y,x_2)\mbox{ and }\mbox{memberP}(x_1,x_2) )\mbox{ or }( \neg\,\mbox{leq}(x_2,y)\mbox{ and }\mbox{memberP}(z,x_2) ) ) ) ) ) )\mbox{ or }\forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \mbox{ssItem}(x_4) \ \Rightarrow \ \forall x_5{:}\;( \mbox{ssList}(x_5) \ \Rightarrow \ \forall x_6{:}\;( \mbox{ssList}(x_6) \ \Rightarrow \ \forall x_7{:}\;( \mbox{ssList}(x_7) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(x_5,\mbox{cons}(x_3,\mbox{nil})),x_6),\mbox{cons}(x_4,\mbox{nil})),x_7)\ne u\mbox{ or }\neg\,\mbox{leq}(x_4,x_3)\mbox{ or }( \forall x_8{:}\;( \mbox{ssItem}(x_8) \ \Rightarrow \ ( \neg\,\mbox{memberP}(x_6,x_8)\mbox{ or }( \mbox{leq}(x_3,x_8)\mbox{ and }\mbox{leq}(x_8,x_4) ) ) )\mbox{ and }\mbox{leq}(x_3,x_4) ) ) ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC156-1.p} cond\_pst\_cyc\_sorted\_x\_run\_eq\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{frontsegP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{equalelemsP}(a)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_8),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_9) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_6,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_5,\mbox{sk}_6) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_{10})\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_5,\mbox{sk}_6) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_8,\mbox{sk}_{10})\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$( \mbox{leq}(\mbox{sk}_5,\mbox{sk}_{10})\mbox{ and }\mbox{leq}(\mbox{sk}_{10},\mbox{sk}_6) ) \ \Rightarrow \ \neg\,\mbox{leq}(\mbox{sk}_5,\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

\medskip\textbf{SWC057-1.p} cond\_id\_segment\_total1\_x\_ne\_segment\_front\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_1,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC138-1.p} cond\_pr\_works\_on\_nonempty\_x\_id\_front

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

\medskip\textbf{SWC312-1.p} cond\_rot\_l\_total2\_x\_rot\_l\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{cons}(\mbox{sk}_5,\mbox{nil}),\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_2\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{app}(b,\mbox{cons}(a,\mbox{nil}))\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC252+1.p} cond\_pst\_pivoted3\_x\_some\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = u\mbox{ and }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ ( \neg\,\mbox{memberP}(z,x_2)\mbox{ or }\neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\neg\,\mbox{lt}(y,x_2)\mbox{ or }\mbox{leq}(y,x_2) ) ) ) ) )\mbox{ or }( \forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ ( \mbox{cons}(x_3,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,x_3) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC340-1.p} cond\_run\_ord\_x\_run\_strict\_ord

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) \ \Rightarrow \ \neg\,\mbox{totalorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

\medskip\textbf{SWC334-1.p} cond\_run\_ord\_max1\_x\_run\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_5,\mbox{sk}_3),\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{totalorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(\mbox{cons}(c,\mbox{nil}),d) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{leq}(a,c)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_6\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{leq}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\mbox{ and }\mbox{totalorderedP}(\mbox{sk}_1) ) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\mbox{ and }\mbox{totalorderedP}(\mbox{sk}_1) ) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_1,\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$( \mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\mbox{ and }\mbox{totalorderedP}(\mbox{sk}_1) ) \ \Rightarrow \ \mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$( \mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\mbox{ and }\mbox{totalorderedP}(\mbox{sk}_1) ) \ \Rightarrow \ \mbox{segmentP}(\mbox{sk}_7,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$( \mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\mbox{ and }\mbox{totalorderedP}(\mbox{sk}_1) ) \ \Rightarrow \ \mbox{totalorderedP}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

\medskip\textbf{SWC234+1.p} cond\_pst\_pivoted2\_x\_run\_eq\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = u\mbox{ and }\forall x_2{:}\;( \neg\,\mbox{ssItem}(x_2)\mbox{ or }\neg\,\mbox{memberP}(z,x_2)\mbox{ or }\neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\neg\,\mbox{leq}(y,x_2)\mbox{ or }\mbox{lt}(y,x_2) ) ) ) )\mbox{ or }\forall x_3{:}\;( \neg\,\mbox{ssList}(x_3)\mbox{ or }\mbox{app}(w,x_3)\ne x\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists x_4{:}\;( \mbox{ssItem}(x_4)\mbox{ and }\exists x_5{:}\;( \mbox{ssList}(x_5)\mbox{ and }\mbox{app}(\mbox{cons}(x_4,\mbox{nil}),x_5) = x_3\mbox{ and }\exists x_6{:}\;( \mbox{ssList}(x_6)\mbox{ and }\mbox{app}(x_6,\mbox{cons}(x_4,\mbox{nil})) = w ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC119-1.p} cond\_ne\_segment\_total2\_x\_some\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_1,\mbox{nil}) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC240+1.p} cond\_pst\_pivoted3\_x\_pst\_equal3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = u\mbox{ and }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ ( \neg\,\mbox{memberP}(z,x_2)\mbox{ or }\neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\neg\,\mbox{lt}(y,x_2)\mbox{ or }\mbox{leq}(y,x_2) ) ) ) ) )\mbox{ or }\forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ \exists x_4{:}\;( \mbox{ssItem}(x_4)\mbox{ and }x_3\ne x_4\mbox{ and }\mbox{memberP}(w,x_4) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC256+1.p} cond\_pst\_singleton\_ne\_x\_some\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{singletonP}(u)\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,y) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC284-1.p} cond\_pst\_sorted2\_x\_some\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_7) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_6,\mbox{sk}_8)\mbox{ or }\mbox{memberP}(\mbox{sk}_7,\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_5,\mbox{sk}_8) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_6,\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_8,\mbox{sk}_5) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_7,\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_8,\mbox{sk}_5) \ \Rightarrow \ \neg\,\mbox{leq}(\mbox{sk}_5,\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{cons}(\mbox{sk}_9,\mbox{nil}) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_4,\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

\medskip\textbf{SWC128-1.p} cond\_pr\_works\_always\_x\_filter\_segment

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{\$false}\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

\medskip\textbf{SWC400+1.p} cond\_subst\_x\_run\_ord

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\neg\,\mbox{totalorderedP}(w)\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \neg\,\mbox{memberP}(u,y)\mbox{ or }\mbox{memberP}(v,y) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC115-1.p} cond\_ne\_segment\_total2\_x\_minimal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(a,\mbox{sk}_5) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_4 )\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(a,\mbox{sk}_5) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_3 )\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_1,\mbox{nil}) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

\medskip\textbf{SWC058-1.p} cond\_id\_segment\_total1\_x\_ne\_segment\_rear\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_1,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{rearsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{rearsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC087-1.p} cond\_id\_segment\_x\_rot\_l1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_1,a) ) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{tl}(\mbox{sk}_4) = b\mbox{ and }\mbox{app}(b,c) = a\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{cons}(d,\mbox{nil}) = c\mbox{ and }\mbox{hd}(\mbox{sk}_4) = d\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4)\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4) ) \ \Rightarrow \ ( \mbox{sk}_3 = a\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil}) )\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_1,a) ) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{tl}(\mbox{sk}_4) = b\mbox{ and }\mbox{app}(b,c) = a\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{cons}(d,\mbox{nil}) = c\mbox{ and }\mbox{hd}(\mbox{sk}_4) = d\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4)\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4)\mbox{ and }\mbox{neq}(\mbox{sk}_4,\mbox{nil}) ) \ \Rightarrow \ \mbox{sk}_3 = a\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC376+1.p} cond\_set\_eq\_x\_rot\_r\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( ( \neg\,\mbox{memberP}(v,y)\mbox{ and }\neg\,\mbox{memberP}(u,y) )\mbox{ or }( \mbox{memberP}(v,y)\mbox{ and }\mbox{memberP}(u,y) ) ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \mbox{neq}(x,\mbox{nil})\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }x\ne z\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{tl}(w) = x_1\mbox{ and }\mbox{app}(x_1,x_2) = z\mbox{ and }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\mbox{cons}(x_3,\mbox{nil}) = x_2\mbox{ and }\mbox{hd}(w) = x_3\mbox{ and }\mbox{neq}(\mbox{nil},w) )\mbox{ and }\mbox{neq}(\mbox{nil},w) ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC401+1.p} cond\_subst\_x\_run\_ord\_max1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\neg\,\mbox{totalorderedP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(w,y)\mbox{ and }\mbox{segmentP}(x,y)\mbox{ and }\mbox{segmentP}(y,w)\mbox{ and }\mbox{totalorderedP}(y) )\mbox{ or }\forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ ( \neg\,\mbox{memberP}(u,z)\mbox{ or }\mbox{memberP}(v,z) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC283+1.p} cond\_pst\_sorted2\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ ( \mbox{app}(w,y)\ne x\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{app}(x_3,\mbox{cons}(x_2,\mbox{nil})) = w\mbox{ and }\mbox{lt}(x_2,z) ) ) ) ) ) )\mbox{ or }\forall x_4{:}\;( \mbox{ssItem}(x_4) \ \Rightarrow \ \forall x_5{:}\;( \mbox{ssList}(x_5) \ \Rightarrow \ \forall x_6{:}\;( \mbox{ssList}(x_6) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(x_5,\mbox{cons}(x_4,\mbox{nil})),x_6)\ne u\mbox{ or }\forall x_7{:}\;( \mbox{ssItem}(x_7) \ \Rightarrow \ ( ( \neg\,\mbox{memberP}(x_5,x_7)\mbox{ or }\mbox{leq}(x_7,x_4) )\mbox{ and }( \neg\,\mbox{memberP}(x_6,x_7)\mbox{ or }\mbox{leq}(x_4,x_7) ) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC273-1.p} cond\_pst\_sorted1\_x\_run\_strict\_ord\_max1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{strictorderedP}(a)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\neg\,\mbox{totalorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

\medskip\textbf{SWC209+1.p} cond\_pst\_not\_nil\_ne\_x\_ne\_segment\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(u,\mbox{nil})\mbox{ or }( ( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w )\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\neg\,\mbox{segmentP}(x,w) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC124-1.p} cond\_ne\_segment\_x\_run\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{totalorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{leq}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_1,\mbox{nil}) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

\medskip\textbf{SWC233-1.p} cond\_pst\_pivoted2\_x\_pst\_strict\_sorted2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{lt}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_3\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{memberP}(c,d) ) \ \Rightarrow \ \mbox{lt}(a,d)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_3\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{memberP}(b,d) ) \ \Rightarrow \ \mbox{lt}(d,a)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC094+1.p} cond\_insert\_x\_copy

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }x\ne w\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(y,z),x_1) = u\mbox{ and }\mbox{app}(y,x_1) = v ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC143+1.p} cond\_pr\_works\_on\_nonempty\_x\_tail1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC214-1.p} cond\_pst\_not\_nil\_ne\_x\_run\_strict\_ord\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{frontsegP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{strictorderedP}(a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_1,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

\medskip\textbf{SWC147-1.p} cond\_pr\_works\_on\_pairs\_x\_ne\_segment

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\neg\,\mbox{singletonP}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

\medskip\textbf{SWC008+1.p} cond\_filter\_segment\_x\_run\_eq\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{frontsegP}(x,w)\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(y,z),x_1) = v\mbox{ and }\mbox{app}(y,x_1) = u ) ) )\mbox{ or }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{neq}(w,x_2)\mbox{ and }\mbox{frontsegP}(x,x_2)\mbox{ and }\mbox{segmentP}(x_2,w)\mbox{ and }\mbox{equalelemsP}(x_2) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC149+1.p} cond\_pr\_works\_on\_pairs\_x\_swap\_ends

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(\mbox{cons}(y,\mbox{nil}),\mbox{cons}(z,\mbox{nil})),x_1) = x ) ) )\mbox{ or }\mbox{singletonP}(v) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC067+1.p} cond\_id\_segment\_total1\_x\_run\_strict\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(y,w),z)\ne x\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(x_2,\mbox{cons}(x_1,\mbox{nil})) = y\mbox{ and }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\exists x_4{:}\;( \mbox{ssList}(x_4)\mbox{ and }\mbox{app}(\mbox{cons}(x_3,\mbox{nil}),x_4) = w\mbox{ and }\mbox{lt}(x_1,x_3) ) ) ) )\mbox{ or }\exists x_5{:}\;( \mbox{ssItem}(x_5)\mbox{ and }\exists x_6{:}\;( \mbox{ssList}(x_6)\mbox{ and }\mbox{app}(\mbox{cons}(x_5,\mbox{nil}),x_6) = z\mbox{ and }\exists x_7{:}\;( \mbox{ssItem}(x_7)\mbox{ and }\exists x_8{:}\;( \mbox{ssList}(x_8)\mbox{ and }\mbox{app}(x_8,\mbox{cons}(x_7,\mbox{nil})) = w\mbox{ and }\mbox{lt}(x_7,x_5) ) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists x_9{:}\;( \mbox{ssList}(x_9)\mbox{ and }\mbox{neq}(x_9,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,x_9)\mbox{ and }\mbox{segmentP}(u,x_9) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC097+1.p} cond\_lead\_x\_lead

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\mbox{app}(u,\mbox{cons}(y,\mbox{nil})) = v )\mbox{ or }\forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ \mbox{app}(w,\mbox{cons}(z,\mbox{nil}))\ne x ) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC292+1.p} cond\_pst\_strict\_sorted1\_x\_some\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{strictorderedP}(u)\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,y) ) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC070+1.p} cond\_id\_segment\_total2\_x\_ne\_segment\_front\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,y)\mbox{ and }\mbox{segmentP}(u,y) )\mbox{ or }( \mbox{nil} = v\mbox{ and }\mbox{nil} = u )\mbox{ or }( ( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w )\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\neg\,\mbox{frontsegP}(x,w) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC348-1.p} cond\_run\_strict\_ord\_x\_some\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{singletonP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) \ \Rightarrow \ \neg\,\mbox{strictorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

\medskip\textbf{SWC364-1.p} cond\_segment\_ne\_x\_tail3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{cons}(\mbox{sk}_5,\mbox{nil}),\mbox{sk}_3) = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{cons}(\mbox{sk}_5,\mbox{nil}),\mbox{sk}_3) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC296-1.p} cond\_pst\_strict\_sorted2\_x\_run\_strict\_ord

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_7) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_6,\mbox{sk}_8)\mbox{ or }\mbox{memberP}(\mbox{sk}_7,\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{lt}(\mbox{sk}_5,\mbox{sk}_8) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_6,\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{lt}(\mbox{sk}_8,\mbox{sk}_5) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_7,\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{lt}(\mbox{sk}_8,\mbox{sk}_5) \ \Rightarrow \ \neg\,\mbox{lt}(\mbox{sk}_5,\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

\medskip\textbf{SWC009-1.p} cond\_filter\_segment\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(a,b),c) = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{app}(a,c)\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC036+1.p} cond\_id\_nil\_x\_id\_nil

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( \mbox{nil}\ne v\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC194-1.p} cond\_pst\_equal2\_x\_pst\_equal1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssItem}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(\mbox{app}(\mbox{app}(c,\mbox{cons}(a,\mbox{nil})),\mbox{cons}(b,\mbox{nil})),d) = \mbox{sk}_3 ) \ \Rightarrow \ a = b\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_9),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_8) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{sk}_5\ne \mbox{sk}_6\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC034-1.p} cond\_id\_nil\_iff\_x\_set\_unique\_elems

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a) ) \ \Rightarrow \ ( \mbox{memberP}(\mbox{sk}_3,a)\mbox{ or }\mbox{ssList}(\mbox{sk}_5(a)) )\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a) ) \ \Rightarrow \ ( \mbox{memberP}(\mbox{sk}_3,a)\mbox{ or }\mbox{segmentP}(\mbox{sk}_4,\mbox{app}(\mbox{app}(\mbox{cons}(a,\mbox{nil}),\mbox{sk}_5(a)),\mbox{cons}(a,\mbox{nil}))) )\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_3,a) ) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_4,a)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_3,a)\mbox{ and }\mbox{ssList}(b) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_4,\mbox{app}(\mbox{app}(\mbox{cons}(a,\mbox{nil}),b),\mbox{cons}(a,\mbox{nil})))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{nil} = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC014-1.p} cond\_head2\_x\_head3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{sk}_2 = a\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{tl}(\mbox{sk}_2) = b\mbox{ and }\mbox{app}(\mbox{sk}_1,b) = a\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_2) ) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{cons}(\mbox{sk}_5,\mbox{nil}),\mbox{sk}_6) = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{sk}_2 = a\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{tl}(\mbox{sk}_2) = b\mbox{ and }\mbox{app}(\mbox{sk}_1,b) = a\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_2) ) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{cons}(\mbox{sk}_5,\mbox{nil}),\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

\medskip\textbf{SWC358-1.p} cond\_segment\_ne\_x\_ne\_segment\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC266+1.p} cond\_pst\_sorted1\_x\_run\_eq

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\mbox{totalorderedP}(u) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC190-1.p} cond\_pst\_equal1\_x\_pst\_equal3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_8) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{sk}_5\ne \mbox{sk}_6\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_3,a) ) \ \Rightarrow \ \mbox{sk}_9 = a\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC240-1.p} cond\_pst\_pivoted3\_x\_pst\_equal3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{lt}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_3,a) ) \ \Rightarrow \ \mbox{sk}_6 = a\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC378+1.p} cond\_set\_eq\_x\_rotate

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ \forall z{:}\;( \neg\,\mbox{ssList}(z)\mbox{ or }\mbox{app}(y,z)\ne x\mbox{ or }\mbox{app}(z,y)\ne w ) )\mbox{ or }\forall x_1{:}\;( \neg\,\mbox{ssItem}(x_1)\mbox{ or }( \neg\,\mbox{memberP}(v,x_1)\mbox{ and }\neg\,\mbox{memberP}(u,x_1) )\mbox{ or }( \mbox{memberP}(v,x_1)\mbox{ and }\mbox{memberP}(u,x_1) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC138+1.p} cond\_pr\_works\_on\_nonempty\_x\_id\_front

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC163-1.p} cond\_pst\_diff\_adj1\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_8) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_5,\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_9,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_9,a) ) \ \Rightarrow \ ( \mbox{sk}_9 = a\mbox{ or }\mbox{nil} = \mbox{sk}_4 )\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_9,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_9,a) ) \ \Rightarrow \ ( \mbox{sk}_9 = a\mbox{ or }\mbox{nil} = \mbox{sk}_3 )\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

\medskip\textbf{SWC242+1.p} cond\_pst\_pivoted3\_x\_pst\_pivoted3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = u\mbox{ and }\forall x_2{:}\;( \neg\,\mbox{ssItem}(x_2)\mbox{ or }\neg\,\mbox{memberP}(z,x_2)\mbox{ or }\neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\neg\,\mbox{lt}(y,x_2)\mbox{ or }\mbox{leq}(y,x_2) ) ) ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \mbox{ssList}(x_4) \ \Rightarrow \ \forall x_5{:}\;( \neg\,\mbox{ssList}(x_5)\mbox{ or }\mbox{app}(\mbox{app}(x_4,\mbox{cons}(x_3,\mbox{nil})),x_5)\ne w\mbox{ or }\exists x_6{:}\;( \mbox{ssItem}(x_6)\mbox{ and }\neg\,\mbox{leq}(x_3,x_6)\mbox{ and }\mbox{memberP}(x_4,x_6)\mbox{ and }\mbox{memberP}(x_5,x_6)\mbox{ and }\mbox{lt}(x_3,x_6) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC384+1.p} cond\_some2\_x\_pivot

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ ( \mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\mbox{app}(\mbox{app}(z,w),x_1)\ne x\mbox{ or }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\mbox{memberP}(z,x_2)\mbox{ and }\mbox{lt}(y,x_2) )\mbox{ or }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\mbox{memberP}(x_1,x_3)\mbox{ and }\mbox{lt}(x_3,y) ) ) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) )\mbox{ or }( \mbox{singletonP}(u)\mbox{ and }\mbox{segmentP}(v,u) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC096-1.p} cond\_last\_x\_last

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{cons}(a,\mbox{nil}) = \mbox{sk}_1\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{cons}(a,\mbox{nil}) = \mbox{sk}_1\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_2 ) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

\medskip\textbf{SWC073+1.p} cond\_id\_segment\_total2\_x\_rot\_r\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,y)\mbox{ and }\mbox{segmentP}(u,y) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \mbox{nil} = v\mbox{ and }\mbox{nil} = u )\mbox{ or }( \mbox{neq}(x,\mbox{nil})\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }x\ne z\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{tl}(w) = x_1\mbox{ and }\mbox{app}(x_1,x_2) = z\mbox{ and }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\mbox{cons}(x_3,\mbox{nil}) = x_2\mbox{ and }\mbox{hd}(w) = x_3\mbox{ and }\mbox{neq}(\mbox{nil},w) )\mbox{ and }\mbox{neq}(\mbox{nil},w) ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC053-1.p} cond\_id\_segment\_total1\_x\_id\_front\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_5,\mbox{nil})\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_3,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_5,\mbox{nil})\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_3,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_1,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

\medskip\textbf{SWC289-1.p} cond\_pst\_strict\_sorted1\_x\_pst\_strict\_sorted1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{strictorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

\medskip\textbf{SWC300+1.p} cond\_pst\_top\_sorted\_x\_pst\_sorted1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{totalorderedP}(w)\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ \forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),x_2),\mbox{cons}(z,\mbox{nil})),x_3)\ne u\mbox{ or }\neg\,\mbox{lt}(z,y) ) ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC319-1.p} cond\_rot\_r\_total1\_x\_rot\_r\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_4 ) \ \Rightarrow \ \mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{sk}_2 = a\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{tl}(\mbox{sk}_1) = b\mbox{ and }\mbox{app}(b,c) = a\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{cons}(d,\mbox{nil}) = c\mbox{ and }\mbox{hd}(\mbox{sk}_1) = d\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_1)\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_1)\mbox{ and }\mbox{neq}(\mbox{sk}_1,\mbox{nil}) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{ssList}(a)\mbox{ and }\mbox{sk}_2 = a\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{tl}(\mbox{sk}_1) = b\mbox{ and }\mbox{app}(b,c) = a\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{cons}(d,\mbox{nil}) = c\mbox{ and }\mbox{hd}(\mbox{sk}_1) = d\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_1)\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_1) ) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_1,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC144+1.p} cond\_pr\_works\_on\_pairs\_x\_filter\_ne\_segment

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil})\mbox{ or }\mbox{singletonP}(v) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC338-1.p} cond\_run\_ord\_x\_run\_eq\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_5,\mbox{sk}_3),\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_5\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(\mbox{cons}(a,\mbox{nil}),c)\ne \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_6\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(c,\mbox{cons}(a,\mbox{nil}))\ne \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) \ \Rightarrow \ \neg\,\mbox{totalorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC184+1.p} cond\_pst\_different3\_x\_minimal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ \forall x_1{:}\;( \neg\,\mbox{ssList}(x_1)\mbox{ or }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1)\ne u\mbox{ or }( \neg\,\mbox{memberP}(z,y)\mbox{ and }\neg\,\mbox{memberP}(x_1,y) ) ) ) )\mbox{ or }( \forall x_2{:}\;( \neg\,\mbox{ssItem}(x_2)\mbox{ or }\mbox{cons}(x_2,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,x_2)\mbox{ or }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }x_2\ne x_3\mbox{ and }\mbox{memberP}(x,x_3)\mbox{ and }\mbox{leq}(x_3,x_2) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC229-1.p} cond\_pst\_pivoted1\_x\_some\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{leq}(\mbox{sk}_5(c,b,a),a)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{singletonP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC045+1.p} cond\_id\_nil\_x\_set\_duplicate\_elems

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( \mbox{nil}\ne v\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }( ( \neg\,\mbox{memberP}(w,y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{segmentP}(x,\mbox{app}(\mbox{app}(\mbox{cons}(y,\mbox{nil}),z),\mbox{cons}(y,\mbox{nil}))) ) )\mbox{ or }( \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ \neg\,\mbox{segmentP}(x,\mbox{app}(\mbox{app}(\mbox{cons}(y,\mbox{nil}),z),\mbox{cons}(y,\mbox{nil}))) )\mbox{ and }\mbox{memberP}(w,y) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC320-1.p} cond\_rot\_r\_total2\_x\_rot\_r\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{cons}(\mbox{sk}_5,\mbox{nil}),\mbox{sk}_6) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_1\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{app}(b,\mbox{cons}(a,\mbox{nil}))\ne \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC088+1.p} cond\_id\_segment\_x\_rot\_l\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,y)\mbox{ and }\mbox{segmentP}(u,y) )\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(x_1,\mbox{cons}(z,\mbox{nil}))\ne w\mbox{ and }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1) = x ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC159+1.p} cond\_pst\_cyc\_sorted\_x\_run\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ \forall z{:}\;( \neg\,\mbox{ssList}(z)\mbox{ or }\mbox{app}(\mbox{app}(y,w),z)\ne x\mbox{ or }\neg\,\mbox{totalorderedP}(w)\mbox{ or }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(x_2,\mbox{cons}(x_1,\mbox{nil})) = y\mbox{ and }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\exists x_4{:}\;( \mbox{ssList}(x_4)\mbox{ and }\mbox{app}(\mbox{cons}(x_3,\mbox{nil}),x_4) = w\mbox{ and }\mbox{leq}(x_1,x_3) ) ) ) )\mbox{ or }\exists x_5{:}\;( \mbox{ssItem}(x_5)\mbox{ and }\exists x_6{:}\;( \mbox{ssList}(x_6)\mbox{ and }\mbox{app}(\mbox{cons}(x_5,\mbox{nil}),x_6) = z\mbox{ and }\exists x_7{:}\;( \mbox{ssItem}(x_7)\mbox{ and }\exists x_8{:}\;( \mbox{ssList}(x_8)\mbox{ and }\mbox{app}(x_8,\mbox{cons}(x_7,\mbox{nil})) = w\mbox{ and }\mbox{leq}(x_7,x_5) ) ) ) ) ) )\mbox{ or }\forall x_9{:}\;( \mbox{ssItem}(x_9) \ \Rightarrow \ \forall x_{10}{:}\;( \mbox{ssItem}(x_{10}) \ \Rightarrow \ \forall x_{11}{:}\;( \mbox{ssList}(x_{11}) \ \Rightarrow \ \forall x_{12}{:}\;( \mbox{ssList}(x_{12}) \ \Rightarrow \ \forall x_{13}{:}\;( \neg\,\mbox{ssList}(x_{13})\mbox{ or }\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(x_{11},\mbox{cons}(x_9,\mbox{nil})),x_{12}),\mbox{cons}(x_{10},\mbox{nil})),x_{13})\ne u\mbox{ or }\neg\,\mbox{leq}(x_{10},x_9)\mbox{ or }( \forall x_{14}{:}\;( \neg\,\mbox{ssItem}(x_{14})\mbox{ or }\neg\,\mbox{memberP}(x_{12},x_{14})\mbox{ or }( \mbox{leq}(x_9,x_{14})\mbox{ and }\mbox{leq}(x_{14},x_{10}) ) )\mbox{ and }\mbox{leq}(x_9,x_{10}) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC301+1.p} cond\_pst\_top\_sorted\_x\_run\_eq

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ \forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),x_2),\mbox{cons}(z,\mbox{nil})),x_3)\ne u\mbox{ or }\neg\,\mbox{lt}(z,y) ) ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC084-1.p} cond\_id\_segment\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_5,a) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_4 )\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_5,a) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_3 )\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

\medskip\textbf{SWC163+1.p} cond\_pst\_diff\_adj1\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \neg\,\mbox{ssList}(x_2)\mbox{ or }\mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),\mbox{cons}(z,\mbox{nil})),x_2)\ne u\mbox{ or }\mbox{neq}(y,z) ) ) ) )\mbox{ or }( \forall x_3{:}\;( \neg\,\mbox{ssItem}(x_3)\mbox{ or }\mbox{cons}(x_3,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,x_3)\mbox{ or }\exists x_4{:}\;( \mbox{ssItem}(x_4)\mbox{ and }x_3\ne x_4\mbox{ and }\mbox{memberP}(x,x_4)\mbox{ and }\mbox{leq}(x_3,x_4) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC414+1.p} cond\_swap\_x\_swap\_tos

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),x_2),\mbox{cons}(z,\mbox{nil})),x_3) = v\mbox{ and }\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(z,\mbox{nil})),x_2),\mbox{cons}(y,\mbox{nil})),x_3) = u ) ) ) ) )\mbox{ or }\forall x_4{:}\;( \mbox{ssItem}(x_4) \ \Rightarrow \ \forall x_5{:}\;( \mbox{ssItem}(x_5) \ \Rightarrow \ \forall x_6{:}\;( \mbox{ssList}(x_6) \ \Rightarrow \ \mbox{app}(\mbox{app}(\mbox{cons}(x_4,\mbox{nil}),\mbox{cons}(x_5,\mbox{nil})),x_6)\ne v ) ) )\mbox{ or }\forall x_7{:}\;( \mbox{ssItem}(x_7) \ \Rightarrow \ \forall x_8{:}\;( \mbox{ssItem}(x_8) \ \Rightarrow \ \forall x_9{:}\;( \neg\,\mbox{ssList}(x_9)\mbox{ or }\mbox{app}(\mbox{app}(\mbox{cons}(x_7,\mbox{nil}),\mbox{cons}(x_8,\mbox{nil})),x_9)\ne x\mbox{ or }\mbox{app}(\mbox{app}(\mbox{cons}(x_8,\mbox{nil}),\mbox{cons}(x_7,\mbox{nil})),x_9)\ne w ) ) ) )\mbox{ and }( \exists x_{10}{:}\;( \mbox{ssItem}(x_{10})\mbox{ and }\exists x_{11}{:}\;( \mbox{ssItem}(x_{11})\mbox{ and }\exists x_{12}{:}\;( \mbox{ssList}(x_{12})\mbox{ and }\mbox{app}(\mbox{app}(\mbox{cons}(x_{10},\mbox{nil}),\mbox{cons}(x_{11},\mbox{nil})),x_{12}) = x ) ) )\mbox{ or }\forall x_{13}{:}\;( \mbox{ssItem}(x_{13}) \ \Rightarrow \ \forall x_{14}{:}\;( \mbox{ssItem}(x_{14}) \ \Rightarrow \ \forall x_{15}{:}\;( \mbox{ssList}(x_{15}) \ \Rightarrow \ \mbox{app}(\mbox{app}(\mbox{cons}(x_{13},\mbox{nil}),\mbox{cons}(x_{14},\mbox{nil})),x_{15})\ne v ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC226-1.p} cond\_pst\_pivoted1\_x\_run\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{leq}(\mbox{sk}_5(c,b,a),a)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{totalorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_6\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{leq}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

\medskip\textbf{SWC311+1.p} cond\_rot\_l\_total2\_x\_rot\_l\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \exists y{:}\;( \mbox{ssList}(y)\mbox{ and }w\ne y\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{tl}(x) = z\mbox{ and }\mbox{app}(z,x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\mbox{cons}(x_2,\mbox{nil}) = x_1\mbox{ and }\mbox{hd}(x) = x_2\mbox{ and }\mbox{neq}(\mbox{nil},x) )\mbox{ and }\mbox{neq}(\mbox{nil},x) ) ) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\exists x_4{:}\;( \mbox{ssList}(x_4)\mbox{ and }\mbox{app}(\mbox{cons}(x_3,\mbox{nil}),x_4) = v\mbox{ and }\mbox{app}(x_4,\mbox{cons}(x_3,\mbox{nil})) = u ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC042-1.p} cond\_id\_nil\_x\_run\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{totalorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{leq}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

\medskip\textbf{SWC227-1.p} cond\_pst\_pivoted1\_x\_run\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{leq}(\mbox{sk}_5(c,b,a),a)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{sk}_3),\mbox{sk}_7) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{totalorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_6\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(\mbox{cons}(c,\mbox{nil}),d) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{leq}(a,c)\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_7\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{leq}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

\medskip\textbf{SWC418-1.p} cond\_turn\_x\_rot\_l\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{app}(\mbox{app}(c,\mbox{cons}(a,\mbox{nil})),b)\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{tl}(\mbox{sk}_4) = b\mbox{ and }\mbox{app}(b,c) = a\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{cons}(d,\mbox{nil}) = c\mbox{ and }\mbox{hd}(\mbox{sk}_4) = d\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4)\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4)\mbox{ and }\mbox{neq}(\mbox{sk}_4,\mbox{nil}) ) \ \Rightarrow \ \mbox{sk}_3 = a\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

\medskip\textbf{SWC365-1.p} cond\_segment\_rear\_ne\_x\_ne\_segment\_rear\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{rearsegP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{rearsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

\medskip\textbf{SWC351-1.p} cond\_segment\_front\_ne\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\neg\,\mbox{frontsegP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

\medskip\textbf{SWC400-1.p} cond\_subst\_x\_run\_ord

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{totalorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\neg\,\mbox{memberP}(\mbox{sk}_2,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

\medskip\textbf{SWC253-1.p} cond\_pst\_singleton\_ne\_x\_head2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{tl}(\mbox{sk}_4) = b\mbox{ and }\mbox{app}(\mbox{sk}_3,b) = a\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4) ) \ \Rightarrow \ ( \mbox{sk}_4 = a\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil}) )\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{singletonP}(\mbox{sk}_1) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{tl}(\mbox{sk}_4) = b\mbox{ and }\mbox{app}(\mbox{sk}_3,b) = a\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4)\mbox{ and }\mbox{neq}(\mbox{sk}_4,\mbox{nil}) ) \ \Rightarrow \ \mbox{sk}_4 = a\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{singletonP}(\mbox{sk}_1) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC236+1.p} cond\_pst\_pivoted2\_x\_run\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = u\mbox{ and }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ ( \neg\,\mbox{memberP}(z,x_2)\mbox{ or }\neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\neg\,\mbox{leq}(y,x_2)\mbox{ or }\mbox{lt}(y,x_2) ) ) ) ) )\mbox{ or }\forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \mbox{ssList}(x_4) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(x_3,w),x_4)\ne x\mbox{ or }\neg\,\mbox{totalorderedP}(w)\mbox{ or }\exists x_5{:}\;( \mbox{ssItem}(x_5)\mbox{ and }\exists x_6{:}\;( \mbox{ssList}(x_6)\mbox{ and }\mbox{app}(x_6,\mbox{cons}(x_5,\mbox{nil})) = x_3\mbox{ and }\exists x_7{:}\;( \mbox{ssItem}(x_7)\mbox{ and }\exists x_8{:}\;( \mbox{ssList}(x_8)\mbox{ and }\mbox{app}(\mbox{cons}(x_7,\mbox{nil}),x_8) = w\mbox{ and }\mbox{leq}(x_5,x_7) ) ) ) )\mbox{ or }\exists x_9{:}\;( \mbox{ssItem}(x_9)\mbox{ and }\exists x_{10}{:}\;( \mbox{ssList}(x_{10})\mbox{ and }\mbox{app}(\mbox{cons}(x_9,\mbox{nil}),x_{10}) = x_4\mbox{ and }\exists x_{11}{:}\;( \mbox{ssItem}(x_{11})\mbox{ and }\exists x_{12}{:}\;( \mbox{ssList}(x_{12})\mbox{ and }\mbox{app}(x_{12},\mbox{cons}(x_{11},\mbox{nil})) = w\mbox{ and }\mbox{leq}(x_{11},x_9) ) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC187+1.p} cond\_pst\_different3\_x\_some\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1)\ne u\mbox{ or }( \neg\,\mbox{memberP}(z,y)\mbox{ and }\neg\,\mbox{memberP}(x_1,y) ) ) ) ) )\mbox{ or }( \forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ ( \mbox{cons}(x_2,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,x_2) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC382+1.p} cond\_some2\_x\_head1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }w\ne y\mbox{ and }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\mbox{cons}(z,\mbox{nil}) = y\mbox{ and }\mbox{hd}(x) = z\mbox{ and }\mbox{neq}(\mbox{nil},x) ) )\mbox{ or }( \mbox{singletonP}(u)\mbox{ and }\mbox{segmentP}(v,u) ) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC055-1.p} cond\_id\_segment\_total1\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_5,a) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_4 )\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_5,a) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_3 )\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_1,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

\medskip\textbf{SWC372-1.p} cond\_segment\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC321-1.p} cond\_rot\_r\_total2\_x\_rot\_r\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_4 ) \ \Rightarrow \ \mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_1\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{app}(b,\mbox{cons}(a,\mbox{nil}))\ne \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC093+1.p} cond\_id\_segment\_x\_some\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,y)\mbox{ and }\mbox{segmentP}(u,y) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ ( \mbox{cons}(z,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,z) ) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC131+1.p} cond\_pr\_works\_on\_cycles\_x\_ne\_segment\_rear

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{neq}(x,\mbox{nil})\mbox{ or }\mbox{cyclefreeP}(v) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC373+1.p} cond\_segment\_x\_segment\_rear

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{rearsegP}(x,w)\mbox{ or }\mbox{segmentP}(v,u) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC309-1.p} cond\_rot\_l2\_x\_rot\_l\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{app}(b,\mbox{cons}(a,\mbox{nil}))\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_4 ) \ \Rightarrow \ \mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

\medskip\textbf{SWC347+1.p} cond\_run\_strict\_ord\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ ( \mbox{app}(w,y)\ne x\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{app}(x_3,\mbox{cons}(x_2,\mbox{nil})) = w\mbox{ and }\mbox{lt}(x_2,z) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w )\mbox{ or }( \mbox{segmentP}(v,u)\mbox{ and }\mbox{strictorderedP}(u) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC069+1.p} cond\_id\_segment\_total2\_x\_id\_segment\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,y)\mbox{ and }\mbox{segmentP}(u,y) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \mbox{nil} = v\mbox{ and }\mbox{nil} = u )\mbox{ or }( \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ ( \neg\,\mbox{neq}(z,\mbox{nil})\mbox{ or }\neg\,\mbox{segmentP}(x,z)\mbox{ or }\neg\,\mbox{segmentP}(w,z) ) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC223-1.p} cond\_pst\_pivoted1\_x\_pst\_sorted2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{leq}(\mbox{sk}_5(c,b,a),a)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_3\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{memberP}(c,d) ) \ \Rightarrow \ \mbox{leq}(a,d)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_3\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{memberP}(b,d) ) \ \Rightarrow \ \mbox{leq}(d,a)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC056+1.p} cond\_id\_segment\_total1\_x\_minimal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,y)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }y\ne z\mbox{ and }\mbox{memberP}(x,z)\mbox{ and }\mbox{leq}(z,y) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{neq}(x_1,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,x_1)\mbox{ and }\mbox{segmentP}(u,x_1) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC142-1.p} cond\_pr\_works\_on\_nonempty\_x\_rot\_r1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

\medskip\textbf{SWC348+1.p} cond\_run\_strict\_ord\_x\_some\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }( \neg\,\mbox{singletonP}(w)\mbox{ and }\mbox{neq}(x,\mbox{nil}) )\mbox{ or }( \mbox{segmentP}(v,u)\mbox{ and }\mbox{strictorderedP}(u) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC335-1.p} cond\_run\_ord\_x\_minimal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(a,\mbox{sk}_5) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_4 )\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(a,\mbox{sk}_5) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_3 )\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) \ \Rightarrow \ \neg\,\mbox{totalorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC250-1.p} cond\_pst\_pivoted3\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{lt}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_6\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

\medskip\textbf{SWC193-1.p} cond\_pst\_equal1\_x\_some\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_8) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{sk}_5\ne \mbox{sk}_6\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{singletonP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC126-1.p} cond\_ne\_segment\_x\_some1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{neq}(\mbox{sk}_1,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) ) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$( \mbox{neq}(\mbox{sk}_1,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) ) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

\medskip\textbf{SWC379+1.p} cond\_set\_min\_elems\_x\_set\_min\_elems

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }( ( \neg\,\mbox{memberP}(w,y)\mbox{ and }\forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ ( \neg\,\mbox{memberP}(x,z)\mbox{ or }\neg\,\mbox{leq}(z,y)\mbox{ or }y = z ) )\mbox{ and }\mbox{memberP}(x,y) )\mbox{ or }( \mbox{memberP}(w,y)\mbox{ and }( \neg\,\mbox{memberP}(x,y)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }y\ne z\mbox{ and }\mbox{memberP}(x,z)\mbox{ and }\mbox{leq}(z,y) ) ) ) ) )\mbox{ or }\forall x_1{:}\;( \mbox{ssItem}(x_1) \ \Rightarrow \ ( ( \neg\,\mbox{memberP}(u,x_1)\mbox{ and }( \neg\,\mbox{memberP}(v,x_1)\mbox{ or }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }x_1\ne x_2\mbox{ and }\mbox{memberP}(v,x_2)\mbox{ and }\mbox{leq}(x_2,x_1) ) ) )\mbox{ or }( \forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ ( \neg\,\mbox{memberP}(v,x_2)\mbox{ or }\neg\,\mbox{leq}(x_2,x_1)\mbox{ or }x_1 = x_2 ) )\mbox{ and }\mbox{memberP}(v,x_1)\mbox{ and }\mbox{memberP}(u,x_1) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC093-1.p} cond\_id\_segment\_x\_some\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC216-1.p} cond\_pst\_not\_nil\_ne\_x\_set\_min\_elems

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a) ) \ \Rightarrow \ ( \mbox{memberP}(\mbox{sk}_3,a)\mbox{ or }\mbox{ssItem}(\mbox{sk}_5(a)) )\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a) ) \ \Rightarrow \ ( \mbox{memberP}(\mbox{sk}_3,a)\mbox{ or }\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5(a)) )\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a) ) \ \Rightarrow \ ( \mbox{memberP}(\mbox{sk}_3,a)\mbox{ or }\mbox{leq}(\mbox{sk}_5(a),a) )\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }a = \mbox{sk}_5(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a) ) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_3,a)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_3,a) ) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_4,a)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_3,a)\mbox{ and }\mbox{ssItem}(b)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,b)\mbox{ and }\mbox{leq}(b,a) ) \ \Rightarrow \ a = b\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_1,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC394-1.p} cond\_subst\_x\_ne\_segment\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\neg\,\mbox{memberP}(\mbox{sk}_2,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

\medskip\textbf{SWC235+1.p} cond\_pst\_pivoted2\_x\_run\_eq\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = u\mbox{ and }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ ( \neg\,\mbox{memberP}(z,x_2)\mbox{ or }\neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\neg\,\mbox{leq}(y,x_2)\mbox{ or }\mbox{lt}(y,x_2) ) ) ) ) )\mbox{ or }\forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \mbox{ssList}(x_4) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(x_3,w),x_4)\ne x\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists x_5{:}\;( \mbox{ssItem}(x_5)\mbox{ and }\exists x_6{:}\;( \mbox{ssList}(x_6)\mbox{ and }\mbox{app}(x_6,\mbox{cons}(x_5,\mbox{nil})) = x_3\mbox{ and }\exists x_7{:}\;( \mbox{ssList}(x_7)\mbox{ and }\mbox{app}(\mbox{cons}(x_5,\mbox{nil}),x_7) = w ) ) )\mbox{ or }\exists x_8{:}\;( \mbox{ssItem}(x_8)\mbox{ and }\exists x_9{:}\;( \mbox{ssList}(x_9)\mbox{ and }\mbox{app}(\mbox{cons}(x_8,\mbox{nil}),x_9) = x_4\mbox{ and }\exists x_{10}{:}\;( \mbox{ssList}(x_{10})\mbox{ and }\mbox{app}(x_{10},\mbox{cons}(x_8,\mbox{nil})) = w ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC184-1.p} cond\_pst\_different3\_x\_minimal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_7) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_6,\mbox{sk}_5)\mbox{ or }\mbox{memberP}(\mbox{sk}_7,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_8)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_8)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_8,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_8)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(a,\mbox{sk}_8) ) \ \Rightarrow \ ( \mbox{sk}_8 = a\mbox{ or }\mbox{nil} = \mbox{sk}_4 )\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_8,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_8)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(a,\mbox{sk}_8) ) \ \Rightarrow \ ( \mbox{sk}_8 = a\mbox{ or }\mbox{nil} = \mbox{sk}_3 )\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

\medskip\textbf{SWC011+1.p} cond\_filter\_some\_x\_filter\_some

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = v\mbox{ and }\mbox{app}(z,x_1) = u ) ) )\mbox{ or }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ \forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \mbox{ssList}(x_4) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(x_3,\mbox{cons}(x_2,\mbox{nil})),x_4)\ne x\mbox{ or }\mbox{app}(x_3,x_4)\ne w ) ) ) ) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC255+1.p} cond\_pst\_singleton\_ne\_x\_pst\_singleton\_ne

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\neg\,\mbox{singletonP}(w)\mbox{ or }\mbox{singletonP}(u) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC012-1.p} cond\_filter\_some\_x\_lead

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_2\mbox{ and }\mbox{app}(b,c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_2\mbox{ and }\mbox{app}(b,c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{sk}_3,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC186+1.p} cond\_pst\_different3\_x\_run\_strict\_ord\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{frontsegP}(x,w)\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(w,y)\mbox{ and }\mbox{frontsegP}(x,y)\mbox{ and }\mbox{segmentP}(y,w)\mbox{ and }\mbox{strictorderedP}(y) )\mbox{ or }\forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(x_1,\mbox{cons}(z,\mbox{nil})),x_2)\ne u\mbox{ or }( \neg\,\mbox{memberP}(x_1,z)\mbox{ and }\neg\,\mbox{memberP}(x_2,z) ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC206-1.p} cond\_pst\_not\_nil\_ne\_x\_id\_segment\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_1,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_5,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{segmentP}(\mbox{sk}_3,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

\medskip\textbf{SWC288-1.p} cond\_pst\_strict\_sorted1\_x\_pivot

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\neg\,\mbox{strictorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{sk}_3),\mbox{sk}_7) = \mbox{sk}_4\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_6,a)\mbox{ and }\mbox{lt}(\mbox{sk}_5,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_7,a)\mbox{ and }\mbox{lt}(a,\mbox{sk}_5) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{sk}_3),\mbox{sk}_7) = \mbox{sk}_4\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_6,a)\mbox{ and }\mbox{lt}(\mbox{sk}_5,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_7,a)\mbox{ and }\mbox{lt}(a,\mbox{sk}_5) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{21},\mbox{negated\_conjecture})$

\medskip\textbf{SWC051-1.p} cond\_id\_rear\_x\_ne\_segment\_rear\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{rearsegP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{rearsegP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{rearsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

\medskip\textbf{SWC146+1.p} cond\_pr\_works\_on\_pairs\_x\_id\_segment

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil})\mbox{ or }\mbox{singletonP}(v) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC249+1.p} cond\_pst\_pivoted3\_x\_run\_strict\_ord\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{frontsegP}(x,w)\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(w,y)\mbox{ and }\mbox{frontsegP}(x,y)\mbox{ and }\mbox{segmentP}(y,w)\mbox{ and }\mbox{strictorderedP}(y) )\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(\mbox{app}(x_1,\mbox{cons}(z,\mbox{nil})),x_2) = u\mbox{ and }\forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ ( \neg\,\mbox{memberP}(x_1,x_3)\mbox{ or }\neg\,\mbox{memberP}(x_2,x_3)\mbox{ or }\neg\,\mbox{lt}(z,x_3)\mbox{ or }\mbox{leq}(z,x_3) ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC140-1.p} cond\_pr\_works\_on\_nonempty\_x\_lead

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

\medskip\textbf{SWC154+1.p} cond\_pst\_cyc\_sorted\_x\_pst\_equal1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }y\ne z\mbox{ and }\mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),\mbox{cons}(z,\mbox{nil})),x_2) = w ) ) ) )\mbox{ or }\forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \mbox{ssItem}(x_4) \ \Rightarrow \ \forall x_5{:}\;( \mbox{ssList}(x_5) \ \Rightarrow \ \forall x_6{:}\;( \mbox{ssList}(x_6) \ \Rightarrow \ \forall x_7{:}\;( \mbox{ssList}(x_7) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(x_5,\mbox{cons}(x_3,\mbox{nil})),x_6),\mbox{cons}(x_4,\mbox{nil})),x_7)\ne u\mbox{ or }\neg\,\mbox{leq}(x_4,x_3)\mbox{ or }( \forall x_8{:}\;( \mbox{ssItem}(x_8) \ \Rightarrow \ ( \neg\,\mbox{memberP}(x_6,x_8)\mbox{ or }( \mbox{leq}(x_3,x_8)\mbox{ and }\mbox{leq}(x_8,x_4) ) ) )\mbox{ and }\mbox{leq}(x_3,x_4) ) ) ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC010+1.p} cond\_filter\_some\_x\_del\_max

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = v\mbox{ and }\mbox{app}(z,x_1) = u ) ) )\mbox{ or }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ \forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \mbox{ssList}(x_4) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(x_3,\mbox{cons}(x_2,\mbox{nil})),x_4)\ne x\mbox{ or }\mbox{app}(x_3,x_4)\ne w\mbox{ or }\exists x_5{:}\;( \mbox{ssItem}(x_5)\mbox{ and }x_2\ne x_5\mbox{ and }\mbox{memberP}(x,x_5)\mbox{ and }\mbox{geq}(x_5,x_2) ) ) ) ) ) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC329+1.p} cond\_run\_eq\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,y)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }y\ne z\mbox{ and }\mbox{memberP}(x,z)\mbox{ and }\mbox{leq}(y,z) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) )\mbox{ or }( \mbox{segmentP}(v,u)\mbox{ and }\mbox{equalelemsP}(u) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC185-1.p} cond\_pst\_different3\_x\_pst\_different3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{memberP}(b,a)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{memberP}(c,a)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_7) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_6,\mbox{sk}_5)\mbox{ or }\mbox{memberP}(\mbox{sk}_7,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

\medskip\textbf{SWC423-1.p} List specification

Components in a software library specified in first-order logic




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

\medskip\textbf{SWC296+1.p} cond\_pst\_strict\_sorted2\_x\_run\_strict\_ord

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1)\ne u\mbox{ or }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ ( ( \neg\,\mbox{memberP}(z,x_2)\mbox{ or }\mbox{lt}(x_2,y) )\mbox{ and }( \neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\mbox{lt}(y,x_2) ) ) ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC425$\wedge$7.p} Conflict detection of 2 conceptual schemata (e.g. UML-schemata)






$\mbox{include}(\mbox{'Axioms/LCL015\string^0.ax'})$

$\mbox{include}(\mbox{'Axioms/LCL013\string^5.ax'})$

$\mbox{include}(\mbox{'Axioms/LCL015\string^1.ax'})$

$r{:}\;\mbox{mu}\to \mbox{\$i}\to \mbox{\$o}\qquad\mbox{thf}(\mbox{r\_type},\mbox{type})$

$p{:}\;\mbox{mu}\to \mbox{\$i}\to \mbox{\$o}\qquad\mbox{thf}(\mbox{p\_type},\mbox{type})$

$c{:}\;\mbox{mu}\qquad\mbox{thf}(\mbox{c\_type},\mbox{type})$

$\forall v{:}\;\mbox{\$i}{:}\;( \mbox{exists\_in\_world}@ c@ v )\qquad\mbox{thf}(\mbox{existence\_of\_c\_ax},\mbox{axiom})$

$b{:}\;\mbox{mu}\qquad\mbox{thf}(\mbox{b\_type},\mbox{type})$

$\forall v{:}\;\mbox{\$i}{:}\;( \mbox{exists\_in\_world}@ b@ v )\qquad\mbox{thf}(\mbox{existence\_of\_b\_ax},\mbox{axiom})$

$a{:}\;\mbox{mu}\qquad\mbox{thf}(\mbox{a\_type},\mbox{type})$

$\forall v{:}\;\mbox{\$i}{:}\;( \mbox{exists\_in\_world}@ a@ v )\qquad\mbox{thf}(\mbox{existence\_of\_a\_ax},\mbox{axiom})$

$\mbox{mvalid}@ ( \mbox{mand}@ ( \mbox{mor}@ ( \mbox{mnot}@ ( r@ a ) )@ ( r@ b ) )@ ( \mbox{mand}@ ( \mbox{mequiv}@ ( r@ c )@ ( r@ a ) )@ ( \mbox{mand}@ ( \mbox{mimplies}@ ( r@ a )@ ( \mbox{mdia\_s}_4@ ( r@ b ) ) )@ ( \mbox{mimplies}@ ( \mbox{mnot}@ ( r@ a ) )@ ( \mbox{mdia\_s}_4@ ( \mbox{mand}@ ( \mbox{mnot}@ ( r@ b ) )@ ( \mbox{mnot}@ ( r@ c ) ) ) ) ) ) ) )\qquad\mbox{thf}(\mbox{schema}_1,\mbox{axiom})$

$\mbox{mvalid}@ ( \mbox{mand}@ ( \mbox{mimplies}@ ( p@ a )@ ( p@ b ) )@ ( \mbox{mand}@ ( \mbox{mor}@ ( p@ c )@ ( \mbox{mnot}@ ( p@ b ) ) )@ ( \mbox{mimplies}@ ( \mbox{mand}@ ( p@ a )@ ( p@ b ) )@ ( \mbox{mdia\_s}_4@ ( \mbox{mnot}@ ( p@ b ) ) ) ) ) )\qquad\mbox{thf}(\mbox{schema}_2,\mbox{axiom})$

$\mbox{mvalid}@ ( \mbox{mforall\_ind}@ \lambda x{:}\;\mbox{mu}{:}\;( \mbox{mequiv}@ ( p@ x )@ ( r@ x ) ) )\qquad\mbox{thf}(\mbox{integration\_assertion},\mbox{axiom})$

$\mbox{mvalid}@ \mbox{mfalse}\qquad\mbox{thf}(\mbox{con},\mbox{conjecture})$

\medskip\textbf{SWC292-1.p} cond\_pst\_strict\_sorted1\_x\_some\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\neg\,\mbox{strictorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

\medskip\textbf{SWC304-1.p} cond\_pst\_top\_sorted\_x\_run\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_5,\mbox{sk}_3),\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{totalorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(\mbox{cons}(c,\mbox{nil}),d) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{leq}(a,c)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_6\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{leq}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_{10})\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_{11})\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_9,\mbox{cons}(\mbox{sk}_7,\mbox{nil})),\mbox{sk}_{10}),\mbox{cons}(\mbox{sk}_8,\mbox{nil})),\mbox{sk}_{11}) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{lt}(\mbox{sk}_8,\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

\medskip\textbf{SWC307+1.p} cond\_pst\_top\_sorted\_x\_some\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ \forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),x_2),\mbox{cons}(z,\mbox{nil})),x_3)\ne u\mbox{ or }\neg\,\mbox{lt}(z,y) ) ) ) ) ) )\mbox{ or }( \neg\,\mbox{singletonP}(w)\mbox{ and }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC035+1.p} cond\_id\_nil\_x\_copy

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( \mbox{nil}\ne v\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }x\ne w\mbox{ or }\mbox{nil} = u ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC073-1.p} cond\_id\_segment\_total2\_x\_rot\_r\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{neq}(\mbox{sk}_4,\mbox{nil})\mbox{ and }\mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{tl}(\mbox{sk}_3) = b\mbox{ and }\mbox{app}(b,c) = a\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{cons}(d,\mbox{nil}) = c\mbox{ and }\mbox{hd}(\mbox{sk}_3) = d\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_3)\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_3) ) \ \Rightarrow \ \mbox{sk}_4 = a\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

\medskip\textbf{SWC013+1.p} cond\_head1\_x\_head1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }w\ne y\mbox{ and }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\mbox{cons}(z,\mbox{nil}) = y\mbox{ and }\mbox{hd}(x) = z\mbox{ and }\mbox{neq}(\mbox{nil},x) ) )\mbox{ or }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }u = x_1\mbox{ and }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\mbox{cons}(x_2,\mbox{nil}) = x_1\mbox{ and }\mbox{hd}(v) = x_2\mbox{ and }\mbox{neq}(\mbox{nil},v) ) ) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC326+1.p} cond\_run\_eq\_front2\_x\_run\_eq\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{frontsegP}(x,w)\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(w,y)\mbox{ and }\mbox{frontsegP}(x,y)\mbox{ and }\mbox{segmentP}(y,w)\mbox{ and }\mbox{equalelemsP}(y) )\mbox{ or }( \exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{app}(u,z) = v\mbox{ and }\forall x_1{:}\;( \mbox{ssItem}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ ( \mbox{app}(\mbox{cons}(x_1,\mbox{nil}),x_2)\ne z\mbox{ or }\forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ \mbox{app}(x_3,\mbox{cons}(x_1,\mbox{nil}))\ne u ) ) ) )\mbox{ and }\mbox{equalelemsP}(u) )\mbox{ and }( \mbox{nil}\ne u\mbox{ or }\mbox{nil} = v ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC370-1.p} cond\_segment\_x\_run\_eq\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(c,\mbox{cons}(a,\mbox{nil}))\ne \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC381+1.p} cond\_some1\_x\_some1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\mbox{cons}(y,\mbox{nil}) = u\mbox{ and }\mbox{memberP}(v,y) )\mbox{ or }\forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ ( \mbox{cons}(z,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,z) ) ) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC091+1.p} cond\_id\_segment\_x\_run\_ord\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\neg\,\mbox{frontsegP}(x,w)\mbox{ or }\neg\,\mbox{totalorderedP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,y)\mbox{ and }\mbox{segmentP}(u,y) )\mbox{ or }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{neq}(w,z)\mbox{ and }\mbox{frontsegP}(x,z)\mbox{ and }\mbox{segmentP}(z,w)\mbox{ and }\mbox{totalorderedP}(z) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC277-1.p} cond\_pst\_sorted1\_x\_some\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{totalorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{singletonP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

\medskip\textbf{SWC248+1.p} cond\_pst\_pivoted3\_x\_run\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = u\mbox{ and }\forall x_2{:}\;( \neg\,\mbox{ssItem}(x_2)\mbox{ or }\neg\,\mbox{memberP}(z,x_2)\mbox{ or }\neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\neg\,\mbox{lt}(y,x_2)\mbox{ or }\mbox{leq}(y,x_2) ) ) ) )\mbox{ or }\forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \neg\,\mbox{ssList}(x_4)\mbox{ or }\mbox{app}(\mbox{app}(x_3,w),x_4)\ne x\mbox{ or }\neg\,\mbox{totalorderedP}(w)\mbox{ or }\exists x_5{:}\;( \mbox{ssItem}(x_5)\mbox{ and }\exists x_6{:}\;( \mbox{ssList}(x_6)\mbox{ and }\mbox{app}(x_6,\mbox{cons}(x_5,\mbox{nil})) = x_3\mbox{ and }\exists x_7{:}\;( \mbox{ssItem}(x_7)\mbox{ and }\exists x_8{:}\;( \mbox{ssList}(x_8)\mbox{ and }\mbox{app}(\mbox{cons}(x_7,\mbox{nil}),x_8) = w\mbox{ and }\mbox{leq}(x_5,x_7) ) ) ) )\mbox{ or }\exists x_9{:}\;( \mbox{ssItem}(x_9)\mbox{ and }\exists x_{10}{:}\;( \mbox{ssList}(x_{10})\mbox{ and }\mbox{app}(\mbox{cons}(x_9,\mbox{nil}),x_{10}) = x_4\mbox{ and }\exists x_{11}{:}\;( \mbox{ssItem}(x_{11})\mbox{ and }\exists x_{12}{:}\;( \mbox{ssList}(x_{12})\mbox{ and }\mbox{app}(x_{12},\mbox{cons}(x_{11},\mbox{nil})) = w\mbox{ and }\mbox{leq}(x_{11},x_9) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC107-1.p} cond\_ne\_segment\_total1\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_5,a) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_4 )\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_5,a) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_3 )\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$( \mbox{neq}(\mbox{sk}_1,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{neq}(\mbox{sk}_1,\mbox{nil}) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

\medskip\textbf{SWC051+1.p} cond\_id\_rear\_x\_ne\_segment\_rear\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{rearsegP}(v,y)\mbox{ and }\mbox{rearsegP}(u,y) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \mbox{neq}(x,\mbox{nil})\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\neg\,\mbox{rearsegP}(x,w) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC374-1.p} cond\_segment\_x\_some\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

\medskip\textbf{SWC416-1.p} cond\_tail2\_x\_tail3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{sk}_2 = a\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{sk}_1) = a\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{cons}(c,\mbox{nil}) = b\mbox{ and }\mbox{hd}(\mbox{sk}_2) = c\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_2) ) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{cons}(\mbox{sk}_5,\mbox{nil}),\mbox{sk}_3) = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{sk}_2 = a\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{sk}_1) = a\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{cons}(c,\mbox{nil}) = b\mbox{ and }\mbox{hd}(\mbox{sk}_2) = c\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_2) ) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{cons}(\mbox{sk}_5,\mbox{nil}),\mbox{sk}_3) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC039-1.p} cond\_id\_nil\_x\_pivot

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{sk}_3),\mbox{sk}_7) = \mbox{sk}_4\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_6,a)\mbox{ and }\mbox{lt}(\mbox{sk}_5,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_7,a)\mbox{ and }\mbox{lt}(a,\mbox{sk}_5) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{sk}_3),\mbox{sk}_7) = \mbox{sk}_4\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_6,a)\mbox{ and }\mbox{lt}(\mbox{sk}_5,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{21},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_7,a)\mbox{ and }\mbox{lt}(a,\mbox{sk}_5) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{22},\mbox{negated\_conjecture})$

\medskip\textbf{SWC389-1.p} cond\_some\_total3\_x\_pivot

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{sk}_3),\mbox{sk}_7) = \mbox{sk}_4\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_6,a)\mbox{ and }\mbox{lt}(\mbox{sk}_5,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_7,a)\mbox{ and }\mbox{lt}(a,\mbox{sk}_5) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{sk}_3),\mbox{sk}_7) = \mbox{sk}_4\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_6,a)\mbox{ and }\mbox{lt}(\mbox{sk}_5,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_7,a)\mbox{ and }\mbox{lt}(a,\mbox{sk}_5) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{21},\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) \ \Rightarrow \ \neg\,\mbox{singletonP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{22},\mbox{negated\_conjecture})$

\medskip\textbf{SWC278-1.p} cond\_pst\_sorted2\_x\_pst\_equal1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssItem}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(\mbox{app}(\mbox{app}(c,\mbox{cons}(a,\mbox{nil})),\mbox{cons}(b,\mbox{nil})),d) = \mbox{sk}_3 ) \ \Rightarrow \ a = b\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_7) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_6,\mbox{sk}_8)\mbox{ or }\mbox{memberP}(\mbox{sk}_7,\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_5,\mbox{sk}_8) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_6,\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_8,\mbox{sk}_5) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_7,\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_8,\mbox{sk}_5) \ \Rightarrow \ \neg\,\mbox{leq}(\mbox{sk}_5,\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

\medskip\textbf{SWC012+1.p} cond\_filter\_some\_x\_lead

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = v\mbox{ and }\mbox{app}(z,x_1) = u ) ) )\mbox{ or }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ \mbox{app}(w,\mbox{cons}(x_2,\mbox{nil}))\ne x ) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC052-1.p} cond\_id\_segment\_total1\_x\_id\_front\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_5,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{frontsegP}(\mbox{sk}_3,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_1,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC237-1.p} cond\_pst\_pivoted2\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{lt}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_6\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

\medskip\textbf{SWC210-1.p} cond\_pst\_not\_nil\_ne\_x\_pst\_singleton\_ne

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{singletonP}(\mbox{sk}_3)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_1,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{singletonP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_1,\mbox{nil}) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC314+1.p} cond\_rot\_l\_total3\_x\_rot\_l\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \exists y{:}\;( \mbox{ssList}(y)\mbox{ and }w\ne y\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{tl}(x) = z\mbox{ and }\mbox{app}(z,x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\mbox{cons}(x_2,\mbox{nil}) = x_1\mbox{ and }\mbox{hd}(x) = x_2\mbox{ and }\mbox{neq}(\mbox{nil},x) )\mbox{ and }\mbox{neq}(\mbox{nil},x) ) ) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) )\mbox{ or }( \forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \neg\,\mbox{ssList}(x_4)\mbox{ or }\mbox{app}(\mbox{cons}(x_3,\mbox{nil}),x_4)\ne v\mbox{ or }\mbox{app}(x_4,\mbox{cons}(x_3,\mbox{nil})) = u ) )\mbox{ and }( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC277+1.p} cond\_pst\_sorted1\_x\_some\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\mbox{totalorderedP}(u)\mbox{ or }( \neg\,\mbox{singletonP}(w)\mbox{ and }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC418+1.p} cond\_turn\_x\_rot\_l\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = v\mbox{ and }\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),z) = u ) ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }w\ne x_2\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\exists x_4{:}\;( \mbox{ssList}(x_4)\mbox{ and }\mbox{tl}(x) = x_3\mbox{ and }\mbox{app}(x_3,x_4) = x_2\mbox{ and }\exists x_5{:}\;( \mbox{ssItem}(x_5)\mbox{ and }\mbox{cons}(x_5,\mbox{nil}) = x_4\mbox{ and }\mbox{hd}(x) = x_5\mbox{ and }\mbox{neq}(\mbox{nil},x) )\mbox{ and }\mbox{neq}(\mbox{nil},x) ) ) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC237+1.p} cond\_pst\_pivoted2\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = u\mbox{ and }\forall x_2{:}\;( \neg\,\mbox{ssItem}(x_2)\mbox{ or }\neg\,\mbox{memberP}(z,x_2)\mbox{ or }\neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\neg\,\mbox{leq}(y,x_2)\mbox{ or }\mbox{lt}(y,x_2) ) ) ) )\mbox{ or }\forall x_3{:}\;( \neg\,\mbox{ssList}(x_3)\mbox{ or }\mbox{app}(w,x_3)\ne x\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists x_4{:}\;( \mbox{ssItem}(x_4)\mbox{ and }\exists x_5{:}\;( \mbox{ssList}(x_5)\mbox{ and }\mbox{app}(\mbox{cons}(x_4,\mbox{nil}),x_5) = x_3\mbox{ and }\exists x_6{:}\;( \mbox{ssItem}(x_6)\mbox{ and }\exists x_7{:}\;( \mbox{ssList}(x_7)\mbox{ and }\mbox{app}(x_7,\mbox{cons}(x_6,\mbox{nil})) = w\mbox{ and }\mbox{lt}(x_6,x_4) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC019-1.p} cond\_id\_front\_total2\_x\_copy

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{sk}_4 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{frontsegP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{frontsegP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

\medskip\textbf{SWC221+1.p} cond\_pst\_pivoted1\_x\_pst\_pivoted2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = u\mbox{ and }\forall x_2{:}\;( \neg\,\mbox{ssItem}(x_2)\mbox{ or }\neg\,\mbox{memberP}(z,x_2)\mbox{ or }\neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\neg\,\mbox{leq}(y,x_2)\mbox{ or }\mbox{leq}(x_2,y) ) ) ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \mbox{ssList}(x_4) \ \Rightarrow \ \forall x_5{:}\;( \neg\,\mbox{ssList}(x_5)\mbox{ or }\mbox{app}(\mbox{app}(x_4,\mbox{cons}(x_3,\mbox{nil})),x_5)\ne w\mbox{ or }\exists x_6{:}\;( \mbox{ssItem}(x_6)\mbox{ and }\neg\,\mbox{lt}(x_3,x_6)\mbox{ and }\mbox{memberP}(x_4,x_6)\mbox{ and }\mbox{memberP}(x_5,x_6)\mbox{ and }\mbox{leq}(x_3,x_6) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC092-1.p} cond\_id\_segment\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

\medskip\textbf{SWC128+1.p} cond\_pr\_works\_always\_x\_filter\_segment

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\mbox{\$true}\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC392+1.p} cond\_subst\_x\_minimal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \neg\,\mbox{memberP}(u,y)\mbox{ or }\mbox{memberP}(v,y) ) )\mbox{ or }( \forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ ( \mbox{cons}(z,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,z)\mbox{ or }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }z\ne x_1\mbox{ and }\mbox{memberP}(x,x_1)\mbox{ and }\mbox{leq}(x_1,z) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC290+1.p} cond\_pst\_strict\_sorted1\_x\_pst\_strict\_sorted2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = w\mbox{ and }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }( ( \neg\,\mbox{lt}(y,x_2)\mbox{ and }\mbox{memberP}(x_1,x_2) )\mbox{ or }( \neg\,\mbox{lt}(x_2,y)\mbox{ and }\mbox{memberP}(z,x_2) ) ) ) ) ) )\mbox{ or }\mbox{strictorderedP}(u) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC272-1.p} cond\_pst\_sorted1\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\neg\,\mbox{totalorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC110-1.p} cond\_ne\_segment\_total1\_x\_run\_eq\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(c,\mbox{cons}(a,\mbox{nil}))\ne \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{neq}(\mbox{sk}_1,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{neq}(\mbox{sk}_1,\mbox{nil}) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC178-1.p} cond\_pst\_diff\_adj2\_x\_some\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_8) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_5,\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{singletonP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC101+1.p} cond\_ne\_segment\_front\_total2\_x\_run\_eq\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ ( \mbox{app}(w,y)\ne x\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(x_2,\mbox{cons}(z,\mbox{nil})) = w ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w )\mbox{ or }( \mbox{nil} = v\mbox{ and }\mbox{nil} = u )\mbox{ or }( \mbox{neq}(u,\mbox{nil})\mbox{ and }\mbox{frontsegP}(v,u) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC350+1.p} cond\_segment\_front\_ne\_x\_run\_eq\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\neg\,\mbox{frontsegP}(x,w)\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(w,y)\mbox{ and }\mbox{frontsegP}(x,y)\mbox{ and }\mbox{segmentP}(y,w)\mbox{ and }\mbox{equalelemsP}(y) )\mbox{ or }\mbox{frontsegP}(v,u) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC269+1.p} cond\_pst\_sorted1\_x\_run\_ord\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{frontsegP}(x,w)\mbox{ or }\neg\,\mbox{totalorderedP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(w,y)\mbox{ and }\mbox{frontsegP}(x,y)\mbox{ and }\mbox{segmentP}(y,w)\mbox{ and }\mbox{totalorderedP}(y) )\mbox{ or }\mbox{totalorderedP}(u) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC157+1.p} cond\_pst\_cyc\_sorted\_x\_run\_eq\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(y,w),z)\ne x\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(x_2,\mbox{cons}(x_1,\mbox{nil})) = y\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{app}(\mbox{cons}(x_1,\mbox{nil}),x_3) = w ) ) )\mbox{ or }\exists x_4{:}\;( \mbox{ssItem}(x_4)\mbox{ and }\exists x_5{:}\;( \mbox{ssList}(x_5)\mbox{ and }\mbox{app}(\mbox{cons}(x_4,\mbox{nil}),x_5) = z\mbox{ and }\exists x_6{:}\;( \mbox{ssList}(x_6)\mbox{ and }\mbox{app}(x_6,\mbox{cons}(x_4,\mbox{nil})) = w ) ) ) ) ) )\mbox{ or }\forall x_7{:}\;( \mbox{ssItem}(x_7) \ \Rightarrow \ \forall x_8{:}\;( \mbox{ssItem}(x_8) \ \Rightarrow \ \forall x_9{:}\;( \mbox{ssList}(x_9) \ \Rightarrow \ \forall x_{10}{:}\;( \mbox{ssList}(x_{10}) \ \Rightarrow \ \forall x_{11}{:}\;( \mbox{ssList}(x_{11}) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(x_9,\mbox{cons}(x_7,\mbox{nil})),x_{10}),\mbox{cons}(x_8,\mbox{nil})),x_{11})\ne u\mbox{ or }\neg\,\mbox{leq}(x_8,x_7)\mbox{ or }( \forall x_{12}{:}\;( \mbox{ssItem}(x_{12}) \ \Rightarrow \ ( \neg\,\mbox{memberP}(x_{10},x_{12})\mbox{ or }( \mbox{leq}(x_7,x_{12})\mbox{ and }\mbox{leq}(x_{12},x_8) ) ) )\mbox{ and }\mbox{leq}(x_7,x_8) ) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC140+1.p} cond\_pr\_works\_on\_nonempty\_x\_lead

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC345-1.p} cond\_run\_strict\_ord\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_5,a) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_4 )\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_5,a) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_3 )\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) \ \Rightarrow \ \neg\,\mbox{strictorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC268-1.p} cond\_pst\_sorted1\_x\_run\_eq\_max1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{equalelemsP}(a)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\neg\,\mbox{totalorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

\medskip\textbf{SWC365+1.p} cond\_segment\_rear\_ne\_x\_ne\_segment\_rear\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{rearsegP}(v,u)\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \mbox{neq}(x,\mbox{nil})\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\neg\,\mbox{rearsegP}(x,w) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC327-1.p} cond\_run\_eq\_front2\_x\_run\_eq\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(c,\mbox{cons}(a,\mbox{nil}))\ne \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{equalelemsP}(\mbox{sk}_1) ) \ \Rightarrow \ ( \mbox{ssItem}(\mbox{sk}_6(a))\mbox{ or }\mbox{nil} = \mbox{sk}_1 )\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{equalelemsP}(\mbox{sk}_1)\mbox{ and }\mbox{nil} = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_6(a))\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{equalelemsP}(\mbox{sk}_1) ) \ \Rightarrow \ ( \mbox{ssList}(\mbox{sk}_7(a))\mbox{ or }\mbox{nil} = \mbox{sk}_1 )\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{equalelemsP}(\mbox{sk}_1) ) \ \Rightarrow \ ( \mbox{app}(\mbox{cons}(\mbox{sk}_6(a),\mbox{nil}),\mbox{sk}_7(a)) = a\mbox{ or }\mbox{nil} = \mbox{sk}_1 )\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{equalelemsP}(\mbox{sk}_1) ) \ \Rightarrow \ ( \mbox{ssList}(\mbox{sk}_8(a))\mbox{ or }\mbox{nil} = \mbox{sk}_1 )\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{equalelemsP}(\mbox{sk}_1) ) \ \Rightarrow \ ( \mbox{app}(\mbox{sk}_8(a),\mbox{cons}(\mbox{sk}_6(a),\mbox{nil})) = \mbox{sk}_1\mbox{ or }\mbox{nil} = \mbox{sk}_1 )\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{equalelemsP}(\mbox{sk}_1)\mbox{ and }\mbox{nil} = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_7(a))\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{equalelemsP}(\mbox{sk}_1)\mbox{ and }\mbox{nil} = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{app}(\mbox{cons}(\mbox{sk}_6(a),\mbox{nil}),\mbox{sk}_7(a)) = a\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{equalelemsP}(\mbox{sk}_1)\mbox{ and }\mbox{nil} = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_8(a))\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,a) = \mbox{sk}_2\mbox{ and }\mbox{equalelemsP}(\mbox{sk}_1)\mbox{ and }\mbox{nil} = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{app}(\mbox{sk}_8(a),\mbox{cons}(\mbox{sk}_6(a),\mbox{nil})) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{21},\mbox{negated\_conjecture})$

\medskip\textbf{SWC271-1.p} cond\_pst\_sorted1\_x\_run\_strict\_ord\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{frontsegP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{strictorderedP}(a)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\neg\,\mbox{totalorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

\medskip\textbf{SWC112-1.p} cond\_ne\_segment\_total1\_x\_run\_strict\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_5,\mbox{sk}_3),\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(\mbox{cons}(c,\mbox{nil}),d) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(a,c)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_6\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{neq}(\mbox{sk}_1,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{neq}(\mbox{sk}_1,\mbox{nil}) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

\medskip\textbf{SWC161+1.p} cond\_pst\_cyc\_sorted\_x\_run\_strict\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ \forall z{:}\;( \neg\,\mbox{ssList}(z)\mbox{ or }\mbox{app}(\mbox{app}(y,w),z)\ne x\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(x_2,\mbox{cons}(x_1,\mbox{nil})) = y\mbox{ and }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\exists x_4{:}\;( \mbox{ssList}(x_4)\mbox{ and }\mbox{app}(\mbox{cons}(x_3,\mbox{nil}),x_4) = w\mbox{ and }\mbox{lt}(x_1,x_3) ) ) ) )\mbox{ or }\exists x_5{:}\;( \mbox{ssItem}(x_5)\mbox{ and }\exists x_6{:}\;( \mbox{ssList}(x_6)\mbox{ and }\mbox{app}(\mbox{cons}(x_5,\mbox{nil}),x_6) = z\mbox{ and }\exists x_7{:}\;( \mbox{ssItem}(x_7)\mbox{ and }\exists x_8{:}\;( \mbox{ssList}(x_8)\mbox{ and }\mbox{app}(x_8,\mbox{cons}(x_7,\mbox{nil})) = w\mbox{ and }\mbox{lt}(x_7,x_5) ) ) ) ) ) )\mbox{ or }\forall x_9{:}\;( \mbox{ssItem}(x_9) \ \Rightarrow \ \forall x_{10}{:}\;( \mbox{ssItem}(x_{10}) \ \Rightarrow \ \forall x_{11}{:}\;( \mbox{ssList}(x_{11}) \ \Rightarrow \ \forall x_{12}{:}\;( \mbox{ssList}(x_{12}) \ \Rightarrow \ \forall x_{13}{:}\;( \neg\,\mbox{ssList}(x_{13})\mbox{ or }\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(x_{11},\mbox{cons}(x_9,\mbox{nil})),x_{12}),\mbox{cons}(x_{10},\mbox{nil})),x_{13})\ne u\mbox{ or }\neg\,\mbox{leq}(x_{10},x_9)\mbox{ or }( \forall x_{14}{:}\;( \neg\,\mbox{ssItem}(x_{14})\mbox{ or }\neg\,\mbox{memberP}(x_{12},x_{14})\mbox{ or }( \mbox{leq}(x_9,x_{14})\mbox{ and }\mbox{leq}(x_{14},x_{10}) ) )\mbox{ and }\mbox{leq}(x_9,x_{10}) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC293-1.p} cond\_pst\_strict\_sorted1\_x\_some\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\neg\,\mbox{strictorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

\medskip\textbf{SWC269-1.p} cond\_pst\_sorted1\_x\_run\_ord\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{totalorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{frontsegP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{totalorderedP}(a)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\neg\,\mbox{totalorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

\medskip\textbf{SWC393+1.p} cond\_subst\_x\_ne\_segment\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \neg\,\mbox{memberP}(u,y)\mbox{ or }\mbox{memberP}(v,y) ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \mbox{neq}(x,\mbox{nil})\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\neg\,\mbox{segmentP}(x,w) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC151-1.p} cond\_pr\_works\_on\_total\_ord\_x\_pr\_works\_on\_total\_ord

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{totalorderP}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{totalorderP}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

\medskip\textbf{SWC072-1.p} cond\_id\_segment\_total2\_x\_rot\_l\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{tl}(\mbox{sk}_4) = b\mbox{ and }\mbox{app}(b,c) = a\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{cons}(d,\mbox{nil}) = c\mbox{ and }\mbox{hd}(\mbox{sk}_4) = d\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4)\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4)\mbox{ and }\mbox{neq}(\mbox{sk}_4,\mbox{nil}) ) \ \Rightarrow \ \mbox{sk}_3 = a\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

\medskip\textbf{SWC298-1.p} cond\_pst\_top\_sorted\_x\_minimal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_8),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_9) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{lt}(\mbox{sk}_6,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_{10})\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_{10})\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_{10},\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_{10})\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(a,\mbox{sk}_{10}) ) \ \Rightarrow \ ( \mbox{sk}_{10} = a\mbox{ or }\mbox{nil} = \mbox{sk}_4 )\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_{10},\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_{10})\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(a,\mbox{sk}_{10}) ) \ \Rightarrow \ ( \mbox{sk}_{10} = a\mbox{ or }\mbox{nil} = \mbox{sk}_3 )\qquad\mbox{cnf}(\mbox{co1}_{21},\mbox{negated\_conjecture})$

\medskip\textbf{SWC161-1.p} cond\_pst\_cyc\_sorted\_x\_run\_strict\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_5,\mbox{sk}_3),\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(\mbox{cons}(c,\mbox{nil}),d) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(a,c)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_6\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_{10})\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_{11})\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_9,\mbox{cons}(\mbox{sk}_7,\mbox{nil})),\mbox{sk}_{10}),\mbox{cons}(\mbox{sk}_8,\mbox{nil})),\mbox{sk}_{11}) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_8,\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_7,\mbox{sk}_8) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_{12})\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_7,\mbox{sk}_8) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_{10},\mbox{sk}_{12})\qquad\mbox{cnf}(\mbox{co1}_{21},\mbox{negated\_conjecture})$

$( \mbox{leq}(\mbox{sk}_7,\mbox{sk}_{12})\mbox{ and }\mbox{leq}(\mbox{sk}_{12},\mbox{sk}_8) ) \ \Rightarrow \ \neg\,\mbox{leq}(\mbox{sk}_7,\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{22},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{23},\mbox{negated\_conjecture})$

\medskip\textbf{SWC371+1.p} cond\_segment\_x\_run\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ ( \mbox{app}(w,y)\ne x\mbox{ or }\neg\,\mbox{totalorderedP}(w)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{app}(x_3,\mbox{cons}(x_2,\mbox{nil})) = w\mbox{ and }\mbox{leq}(x_2,z) ) ) ) ) ) )\mbox{ or }\mbox{segmentP}(v,u)\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC127+1.p} cond\_ne\_segment\_x\_some\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }( \neg\,\mbox{singletonP}(w)\mbox{ and }\mbox{neq}(x,\mbox{nil}) )\mbox{ or }( \mbox{neq}(u,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,u) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC055+1.p} cond\_id\_segment\_total1\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,y)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }y\ne z\mbox{ and }\mbox{memberP}(x,z)\mbox{ and }\mbox{leq}(y,z) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{neq}(x_1,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,x_1)\mbox{ and }\mbox{segmentP}(u,x_1) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC366-1.p} cond\_segment\_rear\_ne\_x\_tail2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{sk}_3) = a\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{cons}(c,\mbox{nil}) = b\mbox{ and }\mbox{hd}(\mbox{sk}_4) = c\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4) ) \ \Rightarrow \ ( \mbox{sk}_4 = a\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil}) )\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{rearsegP}(\mbox{sk}_2,\mbox{sk}_1) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{sk}_3) = a\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{cons}(c,\mbox{nil}) = b\mbox{ and }\mbox{hd}(\mbox{sk}_4) = c\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4)\mbox{ and }\mbox{neq}(\mbox{sk}_4,\mbox{nil}) ) \ \Rightarrow \ \mbox{sk}_4 = a\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{rearsegP}(\mbox{sk}_2,\mbox{sk}_1) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC360-1.p} cond\_segment\_ne\_x\_run\_ord\_max1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{totalorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{totalorderedP}(a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

\medskip\textbf{SWC263-1.p} cond\_pst\_sorted1\_x\_pst\_sorted2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_3\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{memberP}(c,d) ) \ \Rightarrow \ \mbox{leq}(a,d)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_3\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{memberP}(b,d) ) \ \Rightarrow \ \mbox{leq}(d,a)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\neg\,\mbox{totalorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

\medskip\textbf{SWC285+1.p} cond\_pst\_sorted2\_x\_some\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1)\ne u\mbox{ or }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ ( ( \neg\,\mbox{memberP}(z,x_2)\mbox{ or }\mbox{leq}(x_2,y) )\mbox{ and }( \neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\mbox{leq}(y,x_2) ) ) ) ) ) ) )\mbox{ or }( \neg\,\mbox{singletonP}(w)\mbox{ and }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC082+1.p} cond\_id\_segment\_x\_id\_segment\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,y)\mbox{ and }\mbox{segmentP}(u,y) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ ( \neg\,\mbox{neq}(z,\mbox{nil})\mbox{ or }\neg\,\mbox{segmentP}(x,z)\mbox{ or }\neg\,\mbox{segmentP}(w,z) ) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC098-1.p} cond\_maximal\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{cons}(a,\mbox{nil}) = \mbox{sk}_1\mbox{ and }\mbox{memberP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(a))\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{cons}(a,\mbox{nil}) = \mbox{sk}_1\mbox{ and }\mbox{memberP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_2,\mbox{sk}_5(a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{cons}(a,\mbox{nil}) = \mbox{sk}_1\mbox{ and }\mbox{memberP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \mbox{leq}(a,\mbox{sk}_5(a))\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{cons}(a,\mbox{nil}) = \mbox{sk}_1\mbox{ and }a = \mbox{sk}_5(a) ) \ \Rightarrow \ \neg\,\mbox{memberP}(\mbox{sk}_2,a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_6,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_6,a) ) \ \Rightarrow \ ( \mbox{sk}_6 = a\mbox{ or }\mbox{nil} = \mbox{sk}_4 )\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_6,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_6,a) ) \ \Rightarrow \ ( \mbox{sk}_6 = a\mbox{ or }\mbox{nil} = \mbox{sk}_3 )\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

\medskip\textbf{SWC025+1.p} cond\_id\_nil\_iff\_x\_as\_set

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{duplicatefreeP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }( ( \neg\,\mbox{memberP}(x,y)\mbox{ and }\mbox{memberP}(w,y) )\mbox{ or }( \neg\,\mbox{memberP}(w,y)\mbox{ and }\mbox{memberP}(x,y) ) ) )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \mbox{nil}\ne u\mbox{ or }\mbox{nil} = v ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC220+1.p} cond\_pst\_pivoted1\_x\_pst\_pivoted1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = u\mbox{ and }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ ( \neg\,\mbox{memberP}(z,x_2)\mbox{ or }\neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\neg\,\mbox{leq}(y,x_2)\mbox{ or }\mbox{leq}(x_2,y) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \mbox{ssList}(x_4) \ \Rightarrow \ \forall x_5{:}\;( \mbox{ssList}(x_5) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(x_4,\mbox{cons}(x_3,\mbox{nil})),x_5)\ne w\mbox{ or }\exists x_6{:}\;( \mbox{ssItem}(x_6)\mbox{ and }\neg\,\mbox{leq}(x_6,x_3)\mbox{ and }\mbox{memberP}(x_4,x_6)\mbox{ and }\mbox{memberP}(x_5,x_6)\mbox{ and }\mbox{leq}(x_3,x_6) ) ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC294-1.p} cond\_pst\_strict\_sorted1\_x\_some\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{strictorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{singletonP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

\medskip\textbf{SWC050+1.p} cond\_id\_rear\_x\_id\_rear

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{rearsegP}(v,y)\mbox{ and }\mbox{rearsegP}(u,y) )\mbox{ or }\forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ ( \neg\,\mbox{neq}(z,\mbox{nil})\mbox{ or }\neg\,\mbox{rearsegP}(x,z)\mbox{ or }\neg\,\mbox{rearsegP}(w,z) ) ) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC423+1.p} List specification

Components in a software library specified in first-order logic




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

\medskip\textbf{SWC324+1.p} cond\_rotate\_x\_rot\_l\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{app}(y,z) = v\mbox{ and }\mbox{app}(z,y) = u ) )\mbox{ or }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(x_2,\mbox{cons}(x_1,\mbox{nil}))\ne w\mbox{ and }\mbox{app}(\mbox{cons}(x_1,\mbox{nil}),x_2) = x ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC356-1.p} cond\_segment\_ne\_x\_minimal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(a,\mbox{sk}_5) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_4 )\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(a,\mbox{sk}_5) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_3 )\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

\medskip\textbf{SWC004+1.p} cond\_filter\_ne\_segment\_x\_filter\_some

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(y,z),x_1) = v\mbox{ and }\mbox{app}(y,x_1) = u\mbox{ and }\mbox{neq}(z,\mbox{nil}) ) ) )\mbox{ or }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ \forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \mbox{ssList}(x_4) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(x_3,\mbox{cons}(x_2,\mbox{nil})),x_4)\ne x\mbox{ or }\mbox{app}(x_3,x_4)\ne w ) ) ) ) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC038-1.p} cond\_id\_nil\_x\_ne\_segment\_front\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC172+1.p} cond\_pst\_diff\_adj2\_x\_minimal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \neg\,\mbox{ssItem}(z)\mbox{ or }\forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ \mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),\mbox{cons}(z,\mbox{nil})),x_2)\ne u ) )\mbox{ or }\mbox{neq}(y,z) ) )\mbox{ or }( \forall x_3{:}\;( \neg\,\mbox{ssItem}(x_3)\mbox{ or }\mbox{cons}(x_3,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,x_3)\mbox{ or }\exists x_4{:}\;( \mbox{ssItem}(x_4)\mbox{ and }x_3\ne x_4\mbox{ and }\mbox{memberP}(x,x_4)\mbox{ and }\mbox{leq}(x_4,x_3) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC018+1.p} cond\_id\_front\_total1\_x\_run\_eq\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ ( \mbox{app}(w,y)\ne x\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(x_2,\mbox{cons}(z,\mbox{nil})) = w ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{neq}(x_3,\mbox{nil})\mbox{ and }\mbox{frontsegP}(v,x_3)\mbox{ and }\mbox{frontsegP}(u,x_3) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC407+1.p} cond\_subst\_x\_some\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \neg\,\mbox{memberP}(u,y)\mbox{ or }\mbox{memberP}(v,y) ) )\mbox{ or }( \forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ ( \mbox{cons}(z,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,z) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC039+1.p} cond\_id\_nil\_x\_pivot

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( \mbox{nil}\ne v\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ ( \mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\mbox{app}(\mbox{app}(z,w),x_1)\ne x\mbox{ or }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\mbox{memberP}(z,x_2)\mbox{ and }\mbox{lt}(y,x_2) )\mbox{ or }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\mbox{memberP}(x_1,x_3)\mbox{ and }\mbox{lt}(x_3,y) ) ) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC297-1.p} cond\_pst\_strict\_sorted2\_x\_some\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_7) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_6,\mbox{sk}_8)\mbox{ or }\mbox{memberP}(\mbox{sk}_7,\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{lt}(\mbox{sk}_5,\mbox{sk}_8) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_6,\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{lt}(\mbox{sk}_8,\mbox{sk}_5) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_7,\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{lt}(\mbox{sk}_8,\mbox{sk}_5) \ \Rightarrow \ \neg\,\mbox{lt}(\mbox{sk}_5,\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{cons}(\mbox{sk}_9,\mbox{nil}) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_4,\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

\medskip\textbf{SWC371-1.p} cond\_segment\_x\_run\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{totalorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{leq}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC333+1.p} cond\_run\_ord\_max1\_x\_run\_ord\_max1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\neg\,\mbox{totalorderedP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(w,y)\mbox{ and }\mbox{segmentP}(x,y)\mbox{ and }\mbox{segmentP}(y,w)\mbox{ and }\mbox{totalorderedP}(y) )\mbox{ or }( \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ ( \neg\,\mbox{neq}(u,z)\mbox{ or }\neg\,\mbox{segmentP}(v,z)\mbox{ or }\neg\,\mbox{segmentP}(z,u)\mbox{ or }\neg\,\mbox{totalorderedP}(z) ) )\mbox{ and }\mbox{segmentP}(v,u)\mbox{ and }\mbox{totalorderedP}(u) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC067-1.p} cond\_id\_segment\_total1\_x\_run\_strict\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_5,\mbox{sk}_3),\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(\mbox{cons}(c,\mbox{nil}),d) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(a,c)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_6\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_1,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

\medskip\textbf{SWC113-1.p} cond\_ne\_segment\_total1\_x\_some\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{neq}(\mbox{sk}_1,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{neq}(\mbox{sk}_1,\mbox{nil}) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

\medskip\textbf{SWC383-1.p} cond\_some2\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_5,a) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_4 )\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_5,a) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_3 )\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{singletonP}(\mbox{sk}_1) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

\medskip\textbf{SWC407-1.p} cond\_subst\_x\_some\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\neg\,\mbox{memberP}(\mbox{sk}_2,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_6,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_6,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC387+1.p} cond\_some\_total2\_x\_some\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\mbox{cons}(y,\mbox{nil}) = u\mbox{ and }\mbox{memberP}(v,y) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \mbox{nil} = v\mbox{ and }\mbox{nil} = u )\mbox{ or }( \forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ ( \mbox{cons}(z,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,z) ) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC369-1.p} cond\_segment\_x\_ne\_segment\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

\medskip\textbf{SWC231-1.p} cond\_pst\_pivoted2\_x\_pst\_pivoted1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{lt}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_8) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_7,a)\mbox{ and }\mbox{memberP}(\mbox{sk}_8,a)\mbox{ and }\mbox{leq}(\mbox{sk}_6,a) ) \ \Rightarrow \ ( \mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{leq}(a,\mbox{sk}_6) )\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

\medskip\textbf{SWC366+1.p} cond\_segment\_rear\_ne\_x\_tail2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }x\ne y\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{app}(z,w) = y\mbox{ and }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\mbox{cons}(x_1,\mbox{nil}) = z\mbox{ and }\mbox{hd}(x) = x_1\mbox{ and }\mbox{neq}(\mbox{nil},x) ) ) )\mbox{ or }\mbox{rearsegP}(v,u) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC420+1.p} cond\_turn\_x\_rot\_l\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = v\mbox{ and }\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),z) = u ) ) )\mbox{ or }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{app}(x_3,\mbox{cons}(x_2,\mbox{nil}))\ne w\mbox{ and }\mbox{app}(\mbox{cons}(x_2,\mbox{nil}),x_3) = x ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC158+1.p} cond\_pst\_cyc\_sorted\_x\_run\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ ( \mbox{app}(w,y)\ne x\mbox{ or }\neg\,\mbox{totalorderedP}(w)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{app}(x_3,\mbox{cons}(x_2,\mbox{nil})) = w\mbox{ and }\mbox{leq}(x_2,z) ) ) ) ) ) )\mbox{ or }\forall x_4{:}\;( \mbox{ssItem}(x_4) \ \Rightarrow \ \forall x_5{:}\;( \mbox{ssItem}(x_5) \ \Rightarrow \ \forall x_6{:}\;( \mbox{ssList}(x_6) \ \Rightarrow \ \forall x_7{:}\;( \mbox{ssList}(x_7) \ \Rightarrow \ \forall x_8{:}\;( \mbox{ssList}(x_8) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(x_6,\mbox{cons}(x_4,\mbox{nil})),x_7),\mbox{cons}(x_5,\mbox{nil})),x_8)\ne u\mbox{ or }\neg\,\mbox{leq}(x_5,x_4)\mbox{ or }( \forall x_9{:}\;( \mbox{ssItem}(x_9) \ \Rightarrow \ ( \neg\,\mbox{memberP}(x_7,x_9)\mbox{ or }( \mbox{leq}(x_4,x_9)\mbox{ and }\mbox{leq}(x_9,x_5) ) ) )\mbox{ and }\mbox{leq}(x_4,x_5) ) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC117-1.p} cond\_ne\_segment\_total2\_x\_run\_eq\_max1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{equalelemsP}(a)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_1,\mbox{nil}) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

\medskip\textbf{SWC080-1.p} cond\_id\_segment\_x\_id\_front

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_1,a) ) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_5,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_3,\mbox{sk}_5)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_1,a) ) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_5,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{frontsegP}(\mbox{sk}_3,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

\medskip\textbf{SWC238+1.p} cond\_pst\_pivoted2\_x\_run\_strict\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = u\mbox{ and }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ ( \neg\,\mbox{memberP}(z,x_2)\mbox{ or }\neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\neg\,\mbox{leq}(y,x_2)\mbox{ or }\mbox{lt}(y,x_2) ) ) ) ) )\mbox{ or }\forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \mbox{ssList}(x_4) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(x_3,w),x_4)\ne x\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists x_5{:}\;( \mbox{ssItem}(x_5)\mbox{ and }\exists x_6{:}\;( \mbox{ssList}(x_6)\mbox{ and }\mbox{app}(x_6,\mbox{cons}(x_5,\mbox{nil})) = x_3\mbox{ and }\exists x_7{:}\;( \mbox{ssItem}(x_7)\mbox{ and }\exists x_8{:}\;( \mbox{ssList}(x_8)\mbox{ and }\mbox{app}(\mbox{cons}(x_7,\mbox{nil}),x_8) = w\mbox{ and }\mbox{lt}(x_5,x_7) ) ) ) )\mbox{ or }\exists x_9{:}\;( \mbox{ssItem}(x_9)\mbox{ and }\exists x_{10}{:}\;( \mbox{ssList}(x_{10})\mbox{ and }\mbox{app}(\mbox{cons}(x_9,\mbox{nil}),x_{10}) = x_4\mbox{ and }\exists x_{11}{:}\;( \mbox{ssItem}(x_{11})\mbox{ and }\exists x_{12}{:}\;( \mbox{ssList}(x_{12})\mbox{ and }\mbox{app}(x_{12},\mbox{cons}(x_{11},\mbox{nil})) = w\mbox{ and }\mbox{lt}(x_{11},x_9) ) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC380+1.p} cond\_some1\_x\_head3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\mbox{cons}(y,\mbox{nil}) = u\mbox{ and }\mbox{memberP}(v,y) )\mbox{ or }\forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ ( \mbox{cons}(z,\mbox{nil})\ne w\mbox{ or }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1)\ne x ) ) ) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC261-1.p} cond\_pst\_sorted1\_x\_pst\_equal3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_3,a) ) \ \Rightarrow \ \mbox{sk}_5 = a\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\neg\,\mbox{totalorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

\medskip\textbf{SWC150+1.p} cond\_pr\_works\_on\_pairs\_x\_tail1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil})\mbox{ or }\mbox{singletonP}(v) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC153-1.p} cond\_pst\_cyc\_sorted\_x\_pst\_cyc\_sorted

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_4 = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_3 = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssItem}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{ssList}(e)\mbox{ and }\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(c,\mbox{cons}(a,\mbox{nil})),d),\mbox{cons}(b,\mbox{nil})),e) = \mbox{sk}_3\mbox{ and }\mbox{leq}(b,a) ) \ \Rightarrow \ \mbox{leq}(a,b)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssItem}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{ssList}(e)\mbox{ and }\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(c,\mbox{cons}(a,\mbox{nil})),d),\mbox{cons}(b,\mbox{nil})),e) = \mbox{sk}_3\mbox{ and }\mbox{leq}(b,a)\mbox{ and }\mbox{ssItem}(f)\mbox{ and }\mbox{memberP}(d,f) ) \ \Rightarrow \ \mbox{leq}(a,f)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssItem}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{ssList}(e)\mbox{ and }\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(c,\mbox{cons}(a,\mbox{nil})),d),\mbox{cons}(b,\mbox{nil})),e) = \mbox{sk}_3\mbox{ and }\mbox{leq}(b,a)\mbox{ and }\mbox{ssItem}(f)\mbox{ and }\mbox{memberP}(d,f) ) \ \Rightarrow \ \mbox{leq}(f,b)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_8),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_9) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_6,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_5,\mbox{sk}_6) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_{10})\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_5,\mbox{sk}_6) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_8,\mbox{sk}_{10})\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$( \mbox{leq}(\mbox{sk}_{10},\mbox{sk}_6)\mbox{ and }\mbox{leq}(\mbox{sk}_5,\mbox{sk}_{10}) ) \ \Rightarrow \ \neg\,\mbox{leq}(\mbox{sk}_5,\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

\medskip\textbf{SWC120-1.p} cond\_ne\_segment\_x\_head2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{tl}(\mbox{sk}_4) = b\mbox{ and }\mbox{app}(\mbox{sk}_3,b) = a\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4) ) \ \Rightarrow \ ( \mbox{sk}_4 = a\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil}) )\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{neq}(\mbox{sk}_1,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) ) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{tl}(\mbox{sk}_4) = b\mbox{ and }\mbox{app}(\mbox{sk}_3,b) = a\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4)\mbox{ and }\mbox{neq}(\mbox{sk}_4,\mbox{nil}) ) \ \Rightarrow \ \mbox{sk}_4 = a\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{neq}(\mbox{sk}_1,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) ) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC164-1.p} cond\_pst\_diff\_adj1\_x\_minimal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_8) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_5,\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_9,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(a,\mbox{sk}_9) ) \ \Rightarrow \ ( \mbox{sk}_9 = a\mbox{ or }\mbox{nil} = \mbox{sk}_4 )\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_9,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(a,\mbox{sk}_9) ) \ \Rightarrow \ ( \mbox{sk}_9 = a\mbox{ or }\mbox{nil} = \mbox{sk}_3 )\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

\medskip\textbf{SWC127-1.p} cond\_ne\_segment\_x\_some\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{singletonP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_1,\mbox{nil}) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

\medskip\textbf{SWC295+1.p} cond\_pst\_strict\_sorted2\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1)\ne u\mbox{ or }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ ( ( \neg\,\mbox{memberP}(z,x_2)\mbox{ or }\mbox{lt}(x_2,y) )\mbox{ and }( \neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\mbox{lt}(y,x_2) ) ) ) ) ) ) )\mbox{ or }( \forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ ( \mbox{cons}(x_3,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,x_3)\mbox{ or }\exists x_4{:}\;( \mbox{ssItem}(x_4)\mbox{ and }x_3\ne x_4\mbox{ and }\mbox{memberP}(x,x_4)\mbox{ and }\mbox{leq}(x_3,x_4) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC279-1.p} cond\_pst\_sorted2\_x\_pst\_sorted2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_3\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{memberP}(c,d) ) \ \Rightarrow \ \mbox{leq}(a,d)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_3\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{memberP}(b,d) ) \ \Rightarrow \ \mbox{leq}(d,a)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_7) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_6,\mbox{sk}_8)\mbox{ or }\mbox{memberP}(\mbox{sk}_7,\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_5,\mbox{sk}_8) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_6,\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_8,\mbox{sk}_5) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_7,\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_8,\mbox{sk}_5) \ \Rightarrow \ \neg\,\mbox{leq}(\mbox{sk}_5,\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

\medskip\textbf{SWC066+1.p} cond\_id\_segment\_total1\_x\_run\_ord\_max1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\neg\,\mbox{totalorderedP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(w,y)\mbox{ and }\mbox{segmentP}(x,y)\mbox{ and }\mbox{segmentP}(y,w)\mbox{ and }\mbox{totalorderedP}(y) )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{neq}(z,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,z)\mbox{ and }\mbox{segmentP}(u,z) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC231+1.p} cond\_pst\_pivoted2\_x\_pst\_pivoted1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = u\mbox{ and }\forall x_2{:}\;( \neg\,\mbox{ssItem}(x_2)\mbox{ or }\neg\,\mbox{memberP}(z,x_2)\mbox{ or }\neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\neg\,\mbox{leq}(y,x_2)\mbox{ or }\mbox{lt}(y,x_2) ) ) ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \mbox{ssList}(x_4) \ \Rightarrow \ \forall x_5{:}\;( \neg\,\mbox{ssList}(x_5)\mbox{ or }\mbox{app}(\mbox{app}(x_4,\mbox{cons}(x_3,\mbox{nil})),x_5)\ne w\mbox{ or }\exists x_6{:}\;( \mbox{ssItem}(x_6)\mbox{ and }\neg\,\mbox{leq}(x_6,x_3)\mbox{ and }\mbox{memberP}(x_4,x_6)\mbox{ and }\mbox{memberP}(x_5,x_6)\mbox{ and }\mbox{leq}(x_3,x_6) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC088-1.p} cond\_id\_segment\_x\_rot\_l\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_4 ) \ \Rightarrow \ \mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

\medskip\textbf{SWC010-1.p} cond\_filter\_some\_x\_del\_max

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_2\mbox{ and }\mbox{app}(b,c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_7) = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_6,\mbox{sk}_7) = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{geq}(a,\mbox{sk}_5) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil}) )\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_2\mbox{ and }\mbox{app}(b,c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_7) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{sk}_6,\mbox{sk}_7) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{21},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{geq}(a,\mbox{sk}_5)\mbox{ and }\mbox{neq}(\mbox{sk}_4,\mbox{nil}) ) \ \Rightarrow \ \mbox{sk}_5 = a\qquad\mbox{cnf}(\mbox{co1}_{22},\mbox{negated\_conjecture})$

\medskip\textbf{SWC025-1.p} cond\_id\_nil\_iff\_x\_as\_set

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{duplicatefreeP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_3,a) ) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_4,a)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a) ) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_3,a)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{nil} = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

\medskip\textbf{SWC123+1.p} cond\_ne\_segment\_x\_run\_eq\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\neg\,\mbox{frontsegP}(x,w)\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(w,y)\mbox{ and }\mbox{frontsegP}(x,y)\mbox{ and }\mbox{segmentP}(y,w)\mbox{ and }\mbox{equalelemsP}(y) )\mbox{ or }( \mbox{neq}(u,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,u) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC254-1.p} cond\_pst\_singleton\_ne\_x\_last

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{singletonP}(\mbox{sk}_1) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{singletonP}(\mbox{sk}_1) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

\medskip\textbf{SWC412+1.p} cond\_swap\_ends\_x\_swap\_ends

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(\mbox{cons}(y,\mbox{nil}),\mbox{cons}(z,\mbox{nil})),x_1) = x ) ) )\mbox{ or }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ \forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \mbox{ssList}(x_4) \ \Rightarrow \ \mbox{app}(\mbox{app}(\mbox{cons}(x_2,\mbox{nil}),\mbox{cons}(x_3,\mbox{nil})),x_4)\ne v ) ) ) )\mbox{ and }( \exists x_5{:}\;( \mbox{ssItem}(x_5)\mbox{ and }\exists x_6{:}\;( \mbox{ssItem}(x_6)\mbox{ and }\exists x_7{:}\;( \mbox{ssList}(x_7)\mbox{ and }\mbox{app}(\mbox{app}(\mbox{cons}(x_6,\mbox{nil}),x_7),\mbox{cons}(x_5,\mbox{nil}))\ne w\mbox{ and }\mbox{app}(\mbox{app}(\mbox{cons}(x_5,\mbox{nil}),x_7),\mbox{cons}(x_6,\mbox{nil})) = x ) ) )\mbox{ or }\forall x_8{:}\;( \mbox{ssItem}(x_8) \ \Rightarrow \ \forall x_9{:}\;( \mbox{ssItem}(x_9) \ \Rightarrow \ \forall x_{10}{:}\;( \mbox{ssList}(x_{10}) \ \Rightarrow \ \mbox{app}(\mbox{app}(\mbox{cons}(x_8,\mbox{nil}),\mbox{cons}(x_9,\mbox{nil})),x_{10})\ne v ) ) )\mbox{ or }\forall x_{11}{:}\;( \mbox{ssItem}(x_{11}) \ \Rightarrow \ \forall x_{12}{:}\;( \mbox{ssItem}(x_{12}) \ \Rightarrow \ \forall x_{13}{:}\;( \neg\,\mbox{ssList}(x_{13})\mbox{ or }\mbox{app}(\mbox{app}(\mbox{cons}(x_{11},\mbox{nil}),x_{13}),\mbox{cons}(x_{12},\mbox{nil}))\ne v\mbox{ or }\mbox{app}(\mbox{app}(\mbox{cons}(x_{12},\mbox{nil}),x_{13}),\mbox{cons}(x_{11},\mbox{nil})) = u ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC421+1.p} cond\_turn\_x\_rot\_r\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = v\mbox{ and }\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),z) = u ) ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \mbox{neq}(x,\mbox{nil})\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }x\ne x_2\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\exists x_4{:}\;( \mbox{ssList}(x_4)\mbox{ and }\mbox{tl}(w) = x_3\mbox{ and }\mbox{app}(x_3,x_4) = x_2\mbox{ and }\exists x_5{:}\;( \mbox{ssItem}(x_5)\mbox{ and }\mbox{cons}(x_5,\mbox{nil}) = x_4\mbox{ and }\mbox{hd}(w) = x_5\mbox{ and }\mbox{neq}(\mbox{nil},w) )\mbox{ and }\mbox{neq}(\mbox{nil},w) ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC136-1.p} cond\_pr\_works\_on\_nonempty\_x\_del\_max

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

\medskip\textbf{SWC134+1.p} cond\_pr\_works\_on\_cycles\_x\_segment\_rear\_ne

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{neq}(x,\mbox{nil})\mbox{ or }\mbox{cyclefreeP}(v) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC006-1.p} cond\_filter\_segment\_x\_filter\_segment

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(a,b),c) = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{app}(a,c)\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_5,\mbox{sk}_6),\mbox{sk}_7) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_5,\mbox{sk}_7) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC174-1.p} cond\_pst\_diff\_adj2\_x\_pst\_singleton

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{singletonP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_8) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_5,\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

\medskip\textbf{SWC151+1.p} cond\_pr\_works\_on\_total\_ord\_x\_pr\_works\_on\_total\_ord

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{totalorderP}(v)\mbox{ or }\mbox{totalorderP}(x) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC233+1.p} cond\_pst\_pivoted2\_x\_pst\_strict\_sorted2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = u\mbox{ and }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ ( \neg\,\mbox{memberP}(z,x_2)\mbox{ or }\neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\neg\,\mbox{leq}(y,x_2)\mbox{ or }\mbox{lt}(y,x_2) ) ) ) ) )\mbox{ or }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\exists x_4{:}\;( \mbox{ssList}(x_4)\mbox{ and }\exists x_5{:}\;( \mbox{ssList}(x_5)\mbox{ and }\mbox{app}(\mbox{app}(x_4,\mbox{cons}(x_3,\mbox{nil})),x_5) = w\mbox{ and }\exists x_6{:}\;( \mbox{ssItem}(x_6)\mbox{ and }( ( \neg\,\mbox{lt}(x_3,x_6)\mbox{ and }\mbox{memberP}(x_5,x_6) )\mbox{ or }( \neg\,\mbox{lt}(x_6,x_3)\mbox{ and }\mbox{memberP}(x_4,x_6) ) ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC338+1.p} cond\_run\_ord\_x\_run\_eq\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(y,w),z)\ne x\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(x_2,\mbox{cons}(x_1,\mbox{nil})) = y\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{app}(\mbox{cons}(x_1,\mbox{nil}),x_3) = w ) ) )\mbox{ or }\exists x_4{:}\;( \mbox{ssItem}(x_4)\mbox{ and }\exists x_5{:}\;( \mbox{ssList}(x_5)\mbox{ and }\mbox{app}(\mbox{cons}(x_4,\mbox{nil}),x_5) = z\mbox{ and }\exists x_6{:}\;( \mbox{ssList}(x_6)\mbox{ and }\mbox{app}(x_6,\mbox{cons}(x_4,\mbox{nil})) = w ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w )\mbox{ or }( \mbox{segmentP}(v,u)\mbox{ and }\mbox{totalorderedP}(u) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC099-1.p} cond\_ne\_segment\_front\_total1\_x\_run\_eq\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{frontsegP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{equalelemsP}(a)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{neq}(\mbox{sk}_1,\mbox{nil})\mbox{ and }\mbox{frontsegP}(\mbox{sk}_2,\mbox{sk}_1) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{neq}(\mbox{sk}_1,\mbox{nil}) ) \ \Rightarrow \ \neg\,\mbox{frontsegP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

\medskip\textbf{SWC174+1.p} cond\_pst\_diff\_adj2\_x\_pst\_singleton

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{singletonP}(w)\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ ( \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ \mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),\mbox{cons}(z,\mbox{nil})),x_2)\ne u ) )\mbox{ or }\mbox{neq}(y,z) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC289+1.p} cond\_pst\_strict\_sorted1\_x\_pst\_strict\_sorted1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\mbox{strictorderedP}(u) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC357+1.p} cond\_segment\_ne\_x\_ne\_segment\_front\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{segmentP}(v,u)\mbox{ or }( ( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w )\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\neg\,\mbox{frontsegP}(x,w) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC229+1.p} cond\_pst\_pivoted1\_x\_some\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = u\mbox{ and }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ ( \neg\,\mbox{memberP}(z,x_2)\mbox{ or }\neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\neg\,\mbox{leq}(y,x_2)\mbox{ or }\mbox{leq}(x_2,y) ) ) ) ) )\mbox{ or }( \neg\,\mbox{singletonP}(w)\mbox{ and }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC180+1.p} cond\_pst\_different2\_x\_pst\_strict\_sorted2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = w\mbox{ and }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }( ( \neg\,\mbox{lt}(y,x_2)\mbox{ and }\mbox{memberP}(x_1,x_2) )\mbox{ or }( \neg\,\mbox{lt}(x_2,y)\mbox{ and }\mbox{memberP}(z,x_2) ) ) ) ) ) )\mbox{ or }\mbox{duplicatefreeP}(u) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC137+1.p} cond\_pr\_works\_on\_nonempty\_x\_greatest

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{totalorderP}(x) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC198+1.p} cond\_pst\_equal3\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ ( \neg\,\mbox{memberP}(u,z)\mbox{ or }y = z ) ) )\mbox{ or }( \forall x_1{:}\;( \mbox{ssItem}(x_1) \ \Rightarrow \ ( \mbox{cons}(x_1,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,x_1)\mbox{ or }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }x_1\ne x_2\mbox{ and }\mbox{memberP}(x,x_2)\mbox{ and }\mbox{leq}(x_1,x_2) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC141-1.p} cond\_pr\_works\_on\_nonempty\_x\_rot\_l1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

\medskip\textbf{SWC216+1.p} cond\_pst\_not\_nil\_ne\_x\_set\_min\_elems

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }( ( \neg\,\mbox{memberP}(w,y)\mbox{ and }\forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ ( \neg\,\mbox{memberP}(x,z)\mbox{ or }\neg\,\mbox{leq}(z,y)\mbox{ or }y = z ) )\mbox{ and }\mbox{memberP}(x,y) )\mbox{ or }( \mbox{memberP}(w,y)\mbox{ and }( \neg\,\mbox{memberP}(x,y)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }y\ne z\mbox{ and }\mbox{memberP}(x,z)\mbox{ and }\mbox{leq}(z,y) ) ) ) ) )\mbox{ or }\mbox{neq}(u,\mbox{nil}) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC104+1.p} cond\_ne\_segment\_front\_x\_run\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ ( \mbox{app}(w,y)\ne x\mbox{ or }\neg\,\mbox{totalorderedP}(w)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{app}(x_3,\mbox{cons}(x_2,\mbox{nil})) = w\mbox{ and }\mbox{leq}(x_2,z) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w )\mbox{ or }( \mbox{neq}(u,\mbox{nil})\mbox{ and }\mbox{frontsegP}(v,u) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC307-1.p} cond\_pst\_top\_sorted\_x\_some\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_8),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_9) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{lt}(\mbox{sk}_6,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{singletonP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC016-1.p} cond\_id\_front\_total1\_x\_id\_front\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_5,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{frontsegP}(\mbox{sk}_3,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{frontsegP}(\mbox{sk}_2,a)\mbox{ and }\mbox{frontsegP}(\mbox{sk}_1,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{frontsegP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{frontsegP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC217-1.p} cond\_pst\_not\_nil\_ne\_x\_some\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_1,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC021+1.p} cond\_id\_front\_total2\_x\_run\_strict\_ord\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{frontsegP}(x,w)\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{frontsegP}(v,y)\mbox{ and }\mbox{frontsegP}(u,y) )\mbox{ or }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{neq}(w,z)\mbox{ and }\mbox{frontsegP}(x,z)\mbox{ and }\mbox{segmentP}(z,w)\mbox{ and }\mbox{strictorderedP}(z) )\mbox{ or }( \mbox{nil} = v\mbox{ and }\mbox{nil} = u ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC241+1.p} cond\_pst\_pivoted3\_x\_pst\_pivoted1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = u\mbox{ and }\forall x_2{:}\;( \neg\,\mbox{ssItem}(x_2)\mbox{ or }\neg\,\mbox{memberP}(z,x_2)\mbox{ or }\neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\neg\,\mbox{lt}(y,x_2)\mbox{ or }\mbox{leq}(y,x_2) ) ) ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \mbox{ssList}(x_4) \ \Rightarrow \ \forall x_5{:}\;( \neg\,\mbox{ssList}(x_5)\mbox{ or }\mbox{app}(\mbox{app}(x_4,\mbox{cons}(x_3,\mbox{nil})),x_5)\ne w\mbox{ or }\exists x_6{:}\;( \mbox{ssItem}(x_6)\mbox{ and }\neg\,\mbox{leq}(x_6,x_3)\mbox{ and }\mbox{memberP}(x_4,x_6)\mbox{ and }\mbox{memberP}(x_5,x_6)\mbox{ and }\mbox{leq}(x_3,x_6) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC115+1.p} cond\_ne\_segment\_total2\_x\_minimal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( \mbox{nil} = v\mbox{ and }\mbox{nil} = u )\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,y)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }y\ne z\mbox{ and }\mbox{memberP}(x,z)\mbox{ and }\mbox{leq}(z,y) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) )\mbox{ or }( \mbox{neq}(u,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,u) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC243-1.p} cond\_pst\_pivoted3\_x\_pst\_sorted1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{totalorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{lt}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

\medskip\textbf{SWC310+1.p} cond\_rot\_l\_total1\_x\_rot\_l\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \neg\,\mbox{ssList}(z)\mbox{ or }\mbox{app}(\mbox{cons}(y,\mbox{nil}),z)\ne x\mbox{ or }\mbox{app}(z,\mbox{cons}(y,\mbox{nil}))\ne w ) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }u = x_1\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{tl}(v) = x_2\mbox{ and }\mbox{app}(x_2,x_3) = x_1\mbox{ and }\exists x_4{:}\;( \mbox{ssItem}(x_4)\mbox{ and }\mbox{cons}(x_4,\mbox{nil}) = x_3\mbox{ and }\mbox{hd}(v) = x_4\mbox{ and }\mbox{neq}(\mbox{nil},v) )\mbox{ and }\mbox{neq}(\mbox{nil},v) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC047-1.p} cond\_id\_rear\_total1\_x\_copy

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{sk}_4 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{rearsegP}(\mbox{sk}_2,a)\mbox{ and }\mbox{rearsegP}(\mbox{sk}_1,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{rearsegP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{rearsegP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

\medskip\textbf{SWC121+1.p} cond\_ne\_segment\_x\_ne\_segment

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }( \mbox{neq}(u,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,u) ) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC047+1.p} cond\_id\_rear\_total1\_x\_copy

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }x\ne w\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{rearsegP}(v,y)\mbox{ and }\mbox{rearsegP}(u,y) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC327+1.p} cond\_run\_eq\_front2\_x\_run\_eq\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ ( \mbox{app}(w,y)\ne x\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(x_2,\mbox{cons}(z,\mbox{nil})) = w ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w )\mbox{ or }( \exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{app}(u,x_3) = v\mbox{ and }\forall x_4{:}\;( \mbox{ssItem}(x_4) \ \Rightarrow \ \forall x_5{:}\;( \mbox{ssList}(x_5) \ \Rightarrow \ ( \mbox{app}(\mbox{cons}(x_4,\mbox{nil}),x_5)\ne x_3\mbox{ or }\forall x_6{:}\;( \mbox{ssList}(x_6) \ \Rightarrow \ \mbox{app}(x_6,\mbox{cons}(x_4,\mbox{nil}))\ne u ) ) ) )\mbox{ and }\mbox{equalelemsP}(u) )\mbox{ and }( \mbox{nil}\ne u\mbox{ or }\mbox{nil} = v ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC208+1.p} cond\_pst\_not\_nil\_ne\_x\_ne\_segment\_front\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(u,\mbox{nil})\mbox{ or }( ( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w )\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\neg\,\mbox{frontsegP}(x,w) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC076-1.p} cond\_id\_segment\_total2\_x\_run\_eq\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_5,\mbox{sk}_3),\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_5\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(\mbox{cons}(a,\mbox{nil}),c)\ne \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_6\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(c,\mbox{cons}(a,\mbox{nil}))\ne \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC270+1.p} cond\_pst\_sorted1\_x\_run\_strict\_ord

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\mbox{totalorderedP}(u) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC256-1.p} cond\_pst\_singleton\_ne\_x\_some\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{singletonP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC386-1.p} cond\_some\_total1\_x\_some\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{cons}(a,\mbox{nil}) = \mbox{sk}_1\mbox{ and }\mbox{memberP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{ssItem}(a)\mbox{ and }\mbox{cons}(a,\mbox{nil}) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{memberP}(\mbox{sk}_2,a)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

\medskip\textbf{SWC078+1.p} cond\_id\_segment\_total2\_x\_some\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,y)\mbox{ and }\mbox{segmentP}(u,y) )\mbox{ or }( \mbox{nil} = v\mbox{ and }\mbox{nil} = u )\mbox{ or }( \forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ ( \mbox{cons}(z,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,z) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC420-1.p} cond\_turn\_x\_rot\_l\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{app}(\mbox{app}(c,\mbox{cons}(a,\mbox{nil})),b)\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_4 ) \ \Rightarrow \ \mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

\medskip\textbf{SWC247+1.p} cond\_pst\_pivoted3\_x\_run\_ord\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{frontsegP}(x,w)\mbox{ or }\neg\,\mbox{totalorderedP}(w)\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(w,y)\mbox{ and }\mbox{frontsegP}(x,y)\mbox{ and }\mbox{segmentP}(y,w)\mbox{ and }\mbox{totalorderedP}(y) )\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(\mbox{app}(x_1,\mbox{cons}(z,\mbox{nil})),x_2) = u\mbox{ and }\forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ ( \neg\,\mbox{memberP}(x_1,x_3)\mbox{ or }\neg\,\mbox{memberP}(x_2,x_3)\mbox{ or }\neg\,\mbox{lt}(z,x_3)\mbox{ or }\mbox{leq}(z,x_3) ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC422+1.p} cond\_turn\_x\_turn

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = v\mbox{ and }\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),z) = u ) ) )\mbox{ or }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ \forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \mbox{ssList}(x_4) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(x_3,\mbox{cons}(x_2,\mbox{nil})),x_4)\ne x\mbox{ or }\mbox{app}(\mbox{app}(x_4,\mbox{cons}(x_2,\mbox{nil})),x_3)\ne w ) ) ) ) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC064+1.p} cond\_id\_segment\_total1\_x\_rot\_r\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{app}(\mbox{cons}(y,\mbox{nil}),z)\ne w\mbox{ and }\mbox{app}(z,\mbox{cons}(y,\mbox{nil})) = x ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{neq}(x_1,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,x_1)\mbox{ and }\mbox{segmentP}(u,x_1) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC048-1.p} cond\_id\_rear\_total1\_x\_ne\_segment\_rear\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{rearsegP}(\mbox{sk}_2,a)\mbox{ and }\mbox{rearsegP}(\mbox{sk}_1,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{rearsegP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{rearsegP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{rearsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{rearsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC333-1.p} cond\_run\_ord\_max1\_x\_run\_ord\_max1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{totalorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{totalorderedP}(a)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\mbox{ and }\mbox{totalorderedP}(\mbox{sk}_1) ) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\mbox{ and }\mbox{totalorderedP}(\mbox{sk}_1) ) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_1,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\mbox{ and }\mbox{totalorderedP}(\mbox{sk}_1) ) \ \Rightarrow \ \mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\mbox{ and }\mbox{totalorderedP}(\mbox{sk}_1) ) \ \Rightarrow \ \mbox{segmentP}(\mbox{sk}_5,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\mbox{ and }\mbox{totalorderedP}(\mbox{sk}_1) ) \ \Rightarrow \ \mbox{totalorderedP}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC385-1.p} cond\_some2\_x\_some\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{singletonP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{singletonP}(\mbox{sk}_1) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

\medskip\textbf{SWC159-1.p} cond\_pst\_cyc\_sorted\_x\_run\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_5,\mbox{sk}_3),\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{totalorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(\mbox{cons}(c,\mbox{nil}),d) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{leq}(a,c)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_6\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{leq}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_{10})\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_{11})\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_9,\mbox{cons}(\mbox{sk}_7,\mbox{nil})),\mbox{sk}_{10}),\mbox{cons}(\mbox{sk}_8,\mbox{nil})),\mbox{sk}_{11}) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_8,\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_7,\mbox{sk}_8) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_{12})\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_7,\mbox{sk}_8) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_{10},\mbox{sk}_{12})\qquad\mbox{cnf}(\mbox{co1}_{21},\mbox{negated\_conjecture})$

$( \mbox{leq}(\mbox{sk}_7,\mbox{sk}_{12})\mbox{ and }\mbox{leq}(\mbox{sk}_{12},\mbox{sk}_8) ) \ \Rightarrow \ \neg\,\mbox{leq}(\mbox{sk}_7,\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{22},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{23},\mbox{negated\_conjecture})$

\medskip\textbf{SWC156+1.p} cond\_pst\_cyc\_sorted\_x\_run\_eq\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{frontsegP}(x,w)\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(w,y)\mbox{ and }\mbox{frontsegP}(x,y)\mbox{ and }\mbox{segmentP}(y,w)\mbox{ and }\mbox{equalelemsP}(y) )\mbox{ or }\forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssItem}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ \forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \mbox{ssList}(x_4) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(x_2,\mbox{cons}(z,\mbox{nil})),x_3),\mbox{cons}(x_1,\mbox{nil})),x_4)\ne u\mbox{ or }\neg\,\mbox{leq}(x_1,z)\mbox{ or }( \forall x_5{:}\;( \mbox{ssItem}(x_5) \ \Rightarrow \ ( \neg\,\mbox{memberP}(x_3,x_5)\mbox{ or }( \mbox{leq}(z,x_5)\mbox{ and }\mbox{leq}(x_5,x_1) ) ) )\mbox{ and }\mbox{leq}(z,x_1) ) ) ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC125+1.p} cond\_ne\_segment\_x\_run\_strict\_ord\_max1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(w,y)\mbox{ and }\mbox{segmentP}(x,y)\mbox{ and }\mbox{segmentP}(y,w)\mbox{ and }\mbox{strictorderedP}(y) )\mbox{ or }( \mbox{neq}(u,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,u) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC385+1.p} cond\_some2\_x\_some\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }( \neg\,\mbox{singletonP}(w)\mbox{ and }\mbox{neq}(x,\mbox{nil}) )\mbox{ or }( \mbox{singletonP}(u)\mbox{ and }\mbox{segmentP}(v,u) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC102+1.p} cond\_ne\_segment\_front\_x\_copy

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }x\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }( \mbox{neq}(u,\mbox{nil})\mbox{ and }\mbox{frontsegP}(v,u) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC232+1.p} cond\_pst\_pivoted2\_x\_pst\_pivoted3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = u\mbox{ and }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ ( \neg\,\mbox{memberP}(z,x_2)\mbox{ or }\neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\neg\,\mbox{leq}(y,x_2)\mbox{ or }\mbox{lt}(y,x_2) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \mbox{ssList}(x_4) \ \Rightarrow \ \forall x_5{:}\;( \mbox{ssList}(x_5) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(x_4,\mbox{cons}(x_3,\mbox{nil})),x_5)\ne w\mbox{ or }\exists x_6{:}\;( \mbox{ssItem}(x_6)\mbox{ and }\neg\,\mbox{leq}(x_3,x_6)\mbox{ and }\mbox{memberP}(x_4,x_6)\mbox{ and }\mbox{memberP}(x_5,x_6)\mbox{ and }\mbox{lt}(x_3,x_6) ) ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC190+1.p} cond\_pst\_equal1\_x\_pst\_equal3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \neg\,\mbox{ssList}(x_2)\mbox{ or }\mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),\mbox{cons}(z,\mbox{nil})),x_2)\ne u\mbox{ or }y = z ) ) ) )\mbox{ or }\forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ \exists x_4{:}\;( \mbox{ssItem}(x_4)\mbox{ and }x_3\ne x_4\mbox{ and }\mbox{memberP}(w,x_4) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC097-1.p} cond\_lead\_x\_lead

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{app}(\mbox{sk}_1,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_2 ) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{sk}_3,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC318-1.p} cond\_rot\_r2\_x\_rot\_r\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{app}(b,\mbox{cons}(a,\mbox{nil}))\ne \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_4 ) \ \Rightarrow \ \mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

\medskip\textbf{SWC098+1.p} cond\_maximal\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\mbox{cons}(y,\mbox{nil}) = u\mbox{ and }\forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ ( \neg\,\mbox{memberP}(v,z)\mbox{ or }\neg\,\mbox{leq}(y,z)\mbox{ or }y = z ) )\mbox{ and }\mbox{memberP}(v,y) )\mbox{ or }( \mbox{nil} = v\mbox{ and }\mbox{nil} = u )\mbox{ or }( \forall x_1{:}\;( \mbox{ssItem}(x_1) \ \Rightarrow \ ( \mbox{cons}(x_1,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,x_1)\mbox{ or }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }x_1\ne x_2\mbox{ and }\mbox{memberP}(x,x_2)\mbox{ and }\mbox{leq}(x_1,x_2) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC354+1.p} cond\_segment\_ne\_x\_head1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }w\ne y\mbox{ and }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\mbox{cons}(z,\mbox{nil}) = y\mbox{ and }\mbox{hd}(x) = z\mbox{ and }\mbox{neq}(\mbox{nil},x) ) )\mbox{ or }\mbox{segmentP}(v,u) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC341-1.p} cond\_run\_ord\_x\_some\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) \ \Rightarrow \ \neg\,\mbox{totalorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

\medskip\textbf{SWC152+1.p} cond\_pst\_cyc\_sorted\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ \forall x_3{:}\;( \neg\,\mbox{ssList}(x_3)\mbox{ or }\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),x_2),\mbox{cons}(z,\mbox{nil})),x_3)\ne u\mbox{ or }\neg\,\mbox{leq}(z,y)\mbox{ or }( \forall x_4{:}\;( \neg\,\mbox{ssItem}(x_4)\mbox{ or }\neg\,\mbox{memberP}(x_2,x_4)\mbox{ or }( \mbox{leq}(y,x_4)\mbox{ and }\mbox{leq}(x_4,z) ) )\mbox{ and }\mbox{leq}(y,z) ) ) ) ) ) )\mbox{ or }( \forall x_5{:}\;( \neg\,\mbox{ssItem}(x_5)\mbox{ or }\mbox{cons}(x_5,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,x_5)\mbox{ or }\exists x_6{:}\;( \mbox{ssItem}(x_6)\mbox{ and }x_5\ne x_6\mbox{ and }\mbox{memberP}(x,x_6)\mbox{ and }\mbox{leq}(x_5,x_6) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC041+1.p} cond\_id\_nil\_x\_run\_eq\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( \mbox{nil}\ne v\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ ( \mbox{app}(w,y)\ne x\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(x_2,\mbox{cons}(z,\mbox{nil})) = w ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC359-1.p} cond\_segment\_ne\_x\_run\_eq\_max1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{equalelemsP}(a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

\medskip\textbf{SWC170+1.p} cond\_pst\_diff\_adj1\_x\_some\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),\mbox{cons}(z,\mbox{nil})),x_2)\ne u\mbox{ or }\mbox{neq}(y,z) ) ) ) ) )\mbox{ or }( \neg\,\mbox{singletonP}(w)\mbox{ and }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC362+1.p} cond\_segment\_ne\_x\_segment\_ne

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\mbox{segmentP}(v,u) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC224-1.p} cond\_pst\_pivoted1\_x\_run\_eq\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{leq}(\mbox{sk}_5(c,b,a),a)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_6\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(c,\mbox{cons}(a,\mbox{nil}))\ne \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

\medskip\textbf{SWC404-1.p} cond\_subst\_x\_run\_strict\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_5,\mbox{sk}_3),\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(\mbox{cons}(c,\mbox{nil}),d) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(a,c)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_6\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\neg\,\mbox{memberP}(\mbox{sk}_2,\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

\medskip\textbf{SWC032-1.p} cond\_id\_nil\_iff\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{nil} = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC121-1.p} cond\_ne\_segment\_x\_ne\_segment

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_3,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{neq}(\mbox{sk}_1,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) ) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{neq}(\mbox{sk}_1,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) ) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC077+1.p} cond\_id\_segment\_total2\_x\_run\_strict\_ord\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{frontsegP}(x,w)\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,y)\mbox{ and }\mbox{segmentP}(u,y) )\mbox{ or }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{neq}(w,z)\mbox{ and }\mbox{frontsegP}(x,z)\mbox{ and }\mbox{segmentP}(z,w)\mbox{ and }\mbox{strictorderedP}(z) )\mbox{ or }( \mbox{nil} = v\mbox{ and }\mbox{nil} = u ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC413+1.p} cond\_swap\_tos\_x\_swap\_tos

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(\mbox{cons}(y,\mbox{nil}),\mbox{cons}(z,\mbox{nil})),x_1) = v\mbox{ and }\mbox{app}(\mbox{app}(\mbox{cons}(z,\mbox{nil}),\mbox{cons}(y,\mbox{nil})),x_1) = u ) ) )\mbox{ or }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ \forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \mbox{ssList}(x_4) \ \Rightarrow \ \mbox{app}(\mbox{app}(\mbox{cons}(x_2,\mbox{nil}),\mbox{cons}(x_3,\mbox{nil})),x_4)\ne v ) ) )\mbox{ or }\forall x_5{:}\;( \mbox{ssItem}(x_5) \ \Rightarrow \ \forall x_6{:}\;( \mbox{ssItem}(x_6) \ \Rightarrow \ \forall x_7{:}\;( \mbox{ssList}(x_7) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(\mbox{cons}(x_5,\mbox{nil}),\mbox{cons}(x_6,\mbox{nil})),x_7)\ne x\mbox{ or }\mbox{app}(\mbox{app}(\mbox{cons}(x_6,\mbox{nil}),\mbox{cons}(x_5,\mbox{nil})),x_7)\ne w ) ) ) ) )\mbox{ and }( \exists x_8{:}\;( \mbox{ssItem}(x_8)\mbox{ and }\exists x_9{:}\;( \mbox{ssItem}(x_9)\mbox{ and }\exists x_{10}{:}\;( \mbox{ssList}(x_{10})\mbox{ and }\mbox{app}(\mbox{app}(\mbox{cons}(x_8,\mbox{nil}),\mbox{cons}(x_9,\mbox{nil})),x_{10}) = x ) ) )\mbox{ or }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ \forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \mbox{ssList}(x_4) \ \Rightarrow \ \mbox{app}(\mbox{app}(\mbox{cons}(x_2,\mbox{nil}),\mbox{cons}(x_3,\mbox{nil})),x_4)\ne v ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC210+1.p} cond\_pst\_not\_nil\_ne\_x\_pst\_singleton\_ne

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\neg\,\mbox{singletonP}(w)\mbox{ or }\mbox{neq}(u,\mbox{nil}) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC003+1.p} cond\_filter\_ne\_segment\_x\_del\_max

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(y,z),x_1) = v\mbox{ and }\mbox{app}(y,x_1) = u\mbox{ and }\mbox{neq}(z,\mbox{nil}) ) ) )\mbox{ or }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ \forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \mbox{ssList}(x_4) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(x_3,\mbox{cons}(x_2,\mbox{nil})),x_4)\ne x\mbox{ or }\mbox{app}(x_3,x_4)\ne w\mbox{ or }\exists x_5{:}\;( \mbox{ssItem}(x_5)\mbox{ and }x_2\ne x_5\mbox{ and }\mbox{memberP}(x,x_5)\mbox{ and }\mbox{geq}(x_5,x_2) ) ) ) ) ) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC321+1.p} cond\_rot\_r\_total2\_x\_rot\_r\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{app}(\mbox{cons}(y,\mbox{nil}),z)\ne w\mbox{ and }\mbox{app}(z,\mbox{cons}(y,\mbox{nil})) = x ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(\mbox{cons}(x_1,\mbox{nil}),x_2) = u\mbox{ and }\mbox{app}(x_2,\mbox{cons}(x_1,\mbox{nil})) = v ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC193+1.p} cond\_pst\_equal1\_x\_some\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),\mbox{cons}(z,\mbox{nil})),x_2)\ne u\mbox{ or }y = z ) ) ) ) )\mbox{ or }( \neg\,\mbox{singletonP}(w)\mbox{ and }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC082-1.p} cond\_id\_segment\_x\_id\_segment\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_5,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{segmentP}(\mbox{sk}_3,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

\medskip\textbf{SWC283-1.p} cond\_pst\_sorted2\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_8) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_7,\mbox{sk}_9)\mbox{ or }\mbox{memberP}(\mbox{sk}_8,\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_6,\mbox{sk}_9) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_7,\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_9,\mbox{sk}_6) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_8,\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_9,\mbox{sk}_6) \ \Rightarrow \ \neg\,\mbox{leq}(\mbox{sk}_6,\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

\medskip\textbf{SWC258-1.p} cond\_pst\_sorted1\_x\_minimal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\neg\,\mbox{totalorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(a,\mbox{sk}_5) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_4 )\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(a,\mbox{sk}_5) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_3 )\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC031+1.p} cond\_id\_nil\_iff\_x\_run\_ord\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{frontsegP}(x,w)\mbox{ or }\neg\,\mbox{totalorderedP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(w,y)\mbox{ and }\mbox{frontsegP}(x,y)\mbox{ and }\mbox{segmentP}(y,w)\mbox{ and }\mbox{totalorderedP}(y) )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \mbox{nil}\ne u\mbox{ or }\mbox{nil} = v ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC204+1.p} cond\_pst\_not\_nil\_ne\_x\_head2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }x\ne y\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{tl}(x) = z\mbox{ and }\mbox{app}(w,z) = y\mbox{ and }\mbox{neq}(\mbox{nil},x) ) )\mbox{ or }\mbox{neq}(u,\mbox{nil}) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC027+1.p} cond\_id\_nil\_iff\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,y)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }y\ne z\mbox{ and }\mbox{memberP}(x,z)\mbox{ and }\mbox{leq}(y,z) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \mbox{nil}\ne u\mbox{ or }\mbox{nil} = v ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC261+1.p} cond\_pst\_sorted1\_x\_pst\_equal3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }y\ne z\mbox{ and }\mbox{memberP}(w,z) ) )\mbox{ or }\mbox{totalorderedP}(u) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC042+1.p} cond\_id\_nil\_x\_run\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( \mbox{nil}\ne v\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ ( \mbox{app}(w,y)\ne x\mbox{ or }\neg\,\mbox{totalorderedP}(w)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{app}(x_3,\mbox{cons}(x_2,\mbox{nil})) = w\mbox{ and }\mbox{leq}(x_2,z) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC195-1.p} cond\_pst\_equal2\_x\_run\_eq\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{frontsegP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{equalelemsP}(a)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_9),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_8) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{sk}_5\ne \mbox{sk}_6\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

\medskip\textbf{SWC192+1.p} cond\_pst\_equal1\_x\_some\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),\mbox{cons}(z,\mbox{nil})),x_2)\ne u\mbox{ or }y = z ) ) ) ) )\mbox{ or }( \forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ ( \mbox{cons}(x_3,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,x_3) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC005+1.p} cond\_filter\_ne\_segment\_x\_tail1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(y,z),x_1) = v\mbox{ and }\mbox{app}(y,x_1) = u\mbox{ and }\mbox{neq}(z,\mbox{nil}) ) ) )\mbox{ or }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }w\ne x_2\mbox{ and }\mbox{tl}(x) = x_2\mbox{ and }\mbox{neq}(\mbox{nil},x) ) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC357-1.p} cond\_segment\_ne\_x\_ne\_segment\_front\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC024-1.p} cond\_id\_front\_x\_run\_eq\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{frontsegP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{frontsegP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(c,\mbox{cons}(a,\mbox{nil}))\ne \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

\medskip\textbf{SWC132-1.p} cond\_pr\_works\_on\_cycles\_x\_rot\_l2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{cyclefreeP}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

\medskip\textbf{SWC221-1.p} cond\_pst\_pivoted1\_x\_pst\_pivoted2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{leq}(\mbox{sk}_5(c,b,a),a)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_8) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_7,a)\mbox{ and }\mbox{memberP}(\mbox{sk}_8,a)\mbox{ and }\mbox{leq}(\mbox{sk}_6,a) ) \ \Rightarrow \ ( \mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{lt}(\mbox{sk}_6,a) )\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

\medskip\textbf{SWC402-1.p} cond\_subst\_x\_run\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_5,\mbox{sk}_3),\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{totalorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(\mbox{cons}(c,\mbox{nil}),d) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{leq}(a,c)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_6\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{leq}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\neg\,\mbox{memberP}(\mbox{sk}_2,\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

\medskip\textbf{SWC103+1.p} cond\_ne\_segment\_front\_x\_ne\_segment\_front\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \mbox{neq}(u,\mbox{nil})\mbox{ and }\mbox{frontsegP}(v,u) )\mbox{ or }( \mbox{neq}(x,\mbox{nil})\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\neg\,\mbox{frontsegP}(x,w) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC361+1.p} cond\_segment\_ne\_x\_run\_strict\_ord\_max1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(w,y)\mbox{ and }\mbox{segmentP}(x,y)\mbox{ and }\mbox{segmentP}(y,w)\mbox{ and }\mbox{strictorderedP}(y) )\mbox{ or }\mbox{segmentP}(v,u) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC083+1.p} cond\_id\_segment\_x\_insert

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,y)\mbox{ and }\mbox{segmentP}(u,y) )\mbox{ or }\forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \neg\,\mbox{ssList}(x_2)\mbox{ or }\mbox{app}(\mbox{app}(z,x_1),x_2)\ne w\mbox{ or }\mbox{app}(z,x_2)\ne x ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC342+1.p} cond\_run\_ord\_x\_some\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,y) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) )\mbox{ or }( \mbox{segmentP}(v,u)\mbox{ and }\mbox{totalorderedP}(u) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC068+1.p} cond\_id\_segment\_total2\_x\_double

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( \mbox{app}(x,x)\ne w\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,y)\mbox{ and }\mbox{segmentP}(u,y) )\mbox{ or }( \mbox{nil} = v\mbox{ and }\mbox{nil} = u ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC349+1.p} cond\_segment\_front\_ne\_x\_initialize

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( \mbox{nil}\ne w\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{frontsegP}(v,u) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC310-1.p} cond\_rot\_l\_total1\_x\_rot\_l\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{cons}(\mbox{sk}_5,\mbox{nil}),\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{sk}_1 = a\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{tl}(\mbox{sk}_2) = b\mbox{ and }\mbox{app}(b,c) = a\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{cons}(d,\mbox{nil}) = c\mbox{ and }\mbox{hd}(\mbox{sk}_2) = d\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_2)\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_2) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{ssList}(a)\mbox{ and }\mbox{sk}_1 = a\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{tl}(\mbox{sk}_2) = b\mbox{ and }\mbox{app}(b,c) = a\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{cons}(d,\mbox{nil}) = c\mbox{ and }\mbox{hd}(\mbox{sk}_2) = d\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_2) ) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{nil},\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC232-1.p} cond\_pst\_pivoted2\_x\_pst\_pivoted3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{lt}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_8) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_7,a)\mbox{ and }\mbox{memberP}(\mbox{sk}_8,a)\mbox{ and }\mbox{lt}(\mbox{sk}_6,a) ) \ \Rightarrow \ ( \mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{leq}(\mbox{sk}_6,a) )\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

\medskip\textbf{SWC405+1.p} cond\_subst\_x\_set\_eq

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }( ( \neg\,\mbox{memberP}(x,y)\mbox{ and }\mbox{memberP}(w,y) )\mbox{ or }( \neg\,\mbox{memberP}(w,y)\mbox{ and }\mbox{memberP}(x,y) ) ) )\mbox{ or }\forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ ( \neg\,\mbox{memberP}(u,z)\mbox{ or }\mbox{memberP}(v,z) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC422-1.p} cond\_turn\_x\_turn

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_2\mbox{ and }\mbox{app}(\mbox{app}(c,\mbox{cons}(a,\mbox{nil})),b) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_7) = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_6) = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_2\mbox{ and }\mbox{app}(\mbox{app}(c,\mbox{cons}(a,\mbox{nil})),b) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_7) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_6) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

\medskip\textbf{SWC388+1.p} cond\_some\_total2\_x\_some\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\mbox{cons}(y,\mbox{nil}) = u\mbox{ and }\mbox{memberP}(v,y) )\mbox{ or }( \neg\,\mbox{singletonP}(w)\mbox{ and }\mbox{neq}(x,\mbox{nil}) )\mbox{ or }( \mbox{nil} = v\mbox{ and }\mbox{nil} = u ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC064-1.p} cond\_id\_segment\_total1\_x\_rot\_r\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_4 ) \ \Rightarrow \ \mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_1,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC068-1.p} cond\_id\_segment\_total2\_x\_double

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_4,\mbox{sk}_4) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

\medskip\textbf{SWC364+1.p} cond\_segment\_ne\_x\_tail3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \mbox{app}(\mbox{cons}(y,\mbox{nil}),w)\ne x )\mbox{ or }\mbox{segmentP}(v,u) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC260-1.p} cond\_pst\_sorted1\_x\_pst\_equal1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssItem}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(\mbox{app}(\mbox{app}(c,\mbox{cons}(a,\mbox{nil})),\mbox{cons}(b,\mbox{nil})),d) = \mbox{sk}_3 ) \ \Rightarrow \ a = b\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{totalorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

\medskip\textbf{SWC203+1.p} cond\_pst\_not\_nil\_ne\_x\_copy

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }x\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(u,\mbox{nil}) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC191+1.p} cond\_pst\_equal1\_x\_run\_eq\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{frontsegP}(x,w)\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(w,y)\mbox{ and }\mbox{frontsegP}(x,y)\mbox{ and }\mbox{segmentP}(y,w)\mbox{ and }\mbox{equalelemsP}(y) )\mbox{ or }\forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssItem}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ \forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(\mbox{app}(x_2,\mbox{cons}(z,\mbox{nil})),\mbox{cons}(x_1,\mbox{nil})),x_3)\ne u\mbox{ or }z = x_1 ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC168+1.p} cond\_pst\_diff\_adj1\_x\_run\_strict\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ \forall z{:}\;( \neg\,\mbox{ssList}(z)\mbox{ or }\mbox{app}(\mbox{app}(y,w),z)\ne x\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(x_2,\mbox{cons}(x_1,\mbox{nil})) = y\mbox{ and }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\exists x_4{:}\;( \mbox{ssList}(x_4)\mbox{ and }\mbox{app}(\mbox{cons}(x_3,\mbox{nil}),x_4) = w\mbox{ and }\mbox{lt}(x_1,x_3) ) ) ) )\mbox{ or }\exists x_5{:}\;( \mbox{ssItem}(x_5)\mbox{ and }\exists x_6{:}\;( \mbox{ssList}(x_6)\mbox{ and }\mbox{app}(\mbox{cons}(x_5,\mbox{nil}),x_6) = z\mbox{ and }\exists x_7{:}\;( \mbox{ssItem}(x_7)\mbox{ and }\exists x_8{:}\;( \mbox{ssList}(x_8)\mbox{ and }\mbox{app}(x_8,\mbox{cons}(x_7,\mbox{nil})) = w\mbox{ and }\mbox{lt}(x_7,x_5) ) ) ) ) ) )\mbox{ or }\forall x_9{:}\;( \mbox{ssItem}(x_9) \ \Rightarrow \ \forall x_{10}{:}\;( \mbox{ssItem}(x_{10}) \ \Rightarrow \ \forall x_{11}{:}\;( \mbox{ssList}(x_{11}) \ \Rightarrow \ \forall x_{12}{:}\;( \neg\,\mbox{ssList}(x_{12})\mbox{ or }\mbox{app}(\mbox{app}(\mbox{app}(x_{11},\mbox{cons}(x_9,\mbox{nil})),\mbox{cons}(x_{10},\mbox{nil})),x_{12})\ne u\mbox{ or }\mbox{neq}(x_9,x_{10}) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC177-1.p} cond\_pst\_diff\_adj2\_x\_some\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_8) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_5,\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_9,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_9,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

\medskip\textbf{SWC372+1.p} cond\_segment\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ ( \mbox{app}(w,y)\ne x\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{app}(x_3,\mbox{cons}(x_2,\mbox{nil})) = w\mbox{ and }\mbox{lt}(x_2,z) ) ) ) ) ) )\mbox{ or }\mbox{segmentP}(v,u)\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC272+1.p} cond\_pst\_sorted1\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \neg\,\mbox{ssList}(y)\mbox{ or }\mbox{app}(w,y)\ne x\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{app}(x_3,\mbox{cons}(x_2,\mbox{nil})) = w\mbox{ and }\mbox{lt}(x_2,z) ) ) ) ) )\mbox{ or }\mbox{totalorderedP}(u)\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC367-1.p} cond\_segment\_rear\_x\_ne\_segment\_rear\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\neg\,\mbox{rearsegP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{rearsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{rearsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

\medskip\textbf{SWC368+1.p} cond\_segment\_x\_minimal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{segmentP}(v,u)\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,y)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }y\ne z\mbox{ and }\mbox{memberP}(x,z)\mbox{ and }\mbox{leq}(z,y) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC066-1.p} cond\_id\_segment\_total1\_x\_run\_ord\_max1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{totalorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{totalorderedP}(a)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_1,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

\medskip\textbf{SWC189-1.p} cond\_pst\_equal1\_x\_pst\_equal1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssItem}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(\mbox{app}(\mbox{app}(c,\mbox{cons}(a,\mbox{nil})),\mbox{cons}(b,\mbox{nil})),d) = \mbox{sk}_3 ) \ \Rightarrow \ a = b\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_8) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{sk}_5\ne \mbox{sk}_6\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

\medskip\textbf{SWC225-1.p} cond\_pst\_pivoted1\_x\_run\_eq\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{leq}(\mbox{sk}_5(c,b,a),a)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{sk}_3),\mbox{sk}_7) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_6\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(\mbox{cons}(a,\mbox{nil}),c)\ne \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_7\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(c,\mbox{cons}(a,\mbox{nil}))\ne \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

\medskip\textbf{SWC328-1.p} cond\_run\_eq\_x\_initialize

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) \ \Rightarrow \ \neg\,\mbox{equalelemsP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

\medskip\textbf{SWC179+1.p} cond\_pst\_different2\_x\_pivot

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{duplicatefreeP}(u)\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ ( \mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\mbox{app}(\mbox{app}(z,w),x_1)\ne x\mbox{ or }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\mbox{memberP}(z,x_2)\mbox{ and }\mbox{lt}(y,x_2) )\mbox{ or }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\mbox{memberP}(x_1,x_3)\mbox{ and }\mbox{lt}(x_3,y) ) ) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC162-1.p} cond\_pst\_cyc\_sorted\_x\_some\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_8),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_9) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_6,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_5,\mbox{sk}_6) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_{10})\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_5,\mbox{sk}_6) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_8,\mbox{sk}_{10})\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$( \mbox{leq}(\mbox{sk}_5,\mbox{sk}_{10})\mbox{ and }\mbox{leq}(\mbox{sk}_{10},\mbox{sk}_6) ) \ \Rightarrow \ \neg\,\mbox{leq}(\mbox{sk}_5,\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{singletonP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

\medskip\textbf{SWC352-1.p} cond\_segment\_front\_x\_ne\_segment\_front\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\neg\,\mbox{frontsegP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

\medskip\textbf{SWC129+1.p} cond\_pr\_works\_on\_cycles\_x\_dup\_tos

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{neq}(x,\mbox{nil})\mbox{ or }\mbox{cyclefreeP}(v) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC063+1.p} cond\_id\_segment\_total1\_x\_rot\_r\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \neg\,\mbox{ssList}(z)\mbox{ or }\mbox{app}(\mbox{cons}(y,\mbox{nil}),z)\ne w\mbox{ or }\mbox{app}(z,\mbox{cons}(y,\mbox{nil}))\ne x ) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{neq}(x_1,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,x_1)\mbox{ and }\mbox{segmentP}(u,x_1) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC263+1.p} cond\_pst\_sorted1\_x\_pst\_sorted2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = w\mbox{ and }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }( ( \neg\,\mbox{leq}(y,x_2)\mbox{ and }\mbox{memberP}(x_1,x_2) )\mbox{ or }( \neg\,\mbox{leq}(x_2,y)\mbox{ and }\mbox{memberP}(z,x_2) ) ) ) ) ) )\mbox{ or }\mbox{totalorderedP}(u) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC287-1.p} cond\_pst\_strict\_sorted1\_x\_minimal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\neg\,\mbox{strictorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(a,\mbox{sk}_5) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_4 )\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(a,\mbox{sk}_5) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_3 )\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC393-1.p} cond\_subst\_x\_ne\_segment\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\neg\,\mbox{memberP}(\mbox{sk}_2,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC164+1.p} cond\_pst\_diff\_adj1\_x\_minimal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \neg\,\mbox{ssList}(x_2)\mbox{ or }\mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),\mbox{cons}(z,\mbox{nil})),x_2)\ne u\mbox{ or }\mbox{neq}(y,z) ) ) ) )\mbox{ or }( \forall x_3{:}\;( \neg\,\mbox{ssItem}(x_3)\mbox{ or }\mbox{cons}(x_3,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,x_3)\mbox{ or }\exists x_4{:}\;( \mbox{ssItem}(x_4)\mbox{ and }x_3\ne x_4\mbox{ and }\mbox{memberP}(x,x_4)\mbox{ and }\mbox{leq}(x_4,x_3) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC075-1.p} cond\_id\_segment\_total2\_x\_rotate

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_5,\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_6,\mbox{sk}_5) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC349-1.p} cond\_segment\_front\_ne\_x\_initialize

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\neg\,\mbox{frontsegP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

\medskip\textbf{SWC384-1.p} cond\_some2\_x\_pivot

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{sk}_3),\mbox{sk}_7) = \mbox{sk}_4\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_6,a)\mbox{ and }\mbox{lt}(\mbox{sk}_5,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_7,a)\mbox{ and }\mbox{lt}(a,\mbox{sk}_5) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{sk}_3),\mbox{sk}_7) = \mbox{sk}_4\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_6,a)\mbox{ and }\mbox{lt}(\mbox{sk}_5,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_7,a)\mbox{ and }\mbox{lt}(a,\mbox{sk}_5) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{21},\mbox{negated\_conjecture})$

$\mbox{singletonP}(\mbox{sk}_1) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{22},\mbox{negated\_conjecture})$

\medskip\textbf{SWC404+1.p} cond\_subst\_x\_run\_strict\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(y,w),z)\ne x\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(x_2,\mbox{cons}(x_1,\mbox{nil})) = y\mbox{ and }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\exists x_4{:}\;( \mbox{ssList}(x_4)\mbox{ and }\mbox{app}(\mbox{cons}(x_3,\mbox{nil}),x_4) = w\mbox{ and }\mbox{lt}(x_1,x_3) ) ) ) )\mbox{ or }\exists x_5{:}\;( \mbox{ssItem}(x_5)\mbox{ and }\exists x_6{:}\;( \mbox{ssList}(x_6)\mbox{ and }\mbox{app}(\mbox{cons}(x_5,\mbox{nil}),x_6) = z\mbox{ and }\exists x_7{:}\;( \mbox{ssItem}(x_7)\mbox{ and }\exists x_8{:}\;( \mbox{ssList}(x_8)\mbox{ and }\mbox{app}(x_8,\mbox{cons}(x_7,\mbox{nil})) = w\mbox{ and }\mbox{lt}(x_7,x_5) ) ) ) ) ) ) )\mbox{ or }\forall x_9{:}\;( \mbox{ssItem}(x_9) \ \Rightarrow \ ( \neg\,\mbox{memberP}(u,x_9)\mbox{ or }\mbox{memberP}(v,x_9) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC032+1.p} cond\_id\_nil\_iff\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ ( \mbox{app}(w,y)\ne x\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{app}(x_3,\mbox{cons}(x_2,\mbox{nil})) = w\mbox{ and }\mbox{lt}(x_2,z) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \mbox{nil}\ne u\mbox{ or }\mbox{nil} = v ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC340+1.p} cond\_run\_ord\_x\_run\_strict\_ord

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }( \mbox{segmentP}(v,u)\mbox{ and }\mbox{totalorderedP}(u) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC054-1.p} cond\_id\_segment\_total1\_x\_id\_segment\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_5,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{segmentP}(\mbox{sk}_3,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_1,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC013-1.p} cond\_head1\_x\_head1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssItem}(b)\mbox{ and }\mbox{cons}(b,\mbox{nil}) = a\mbox{ and }\mbox{hd}(\mbox{sk}_4) = b\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4) ) \ \Rightarrow \ ( \mbox{sk}_3 = a\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil}) )\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{sk}_1 = a\mbox{ and }\mbox{ssItem}(b)\mbox{ and }\mbox{cons}(b,\mbox{nil}) = a\mbox{ and }\mbox{hd}(\mbox{sk}_2) = b\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_2) ) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssItem}(b)\mbox{ and }\mbox{cons}(b,\mbox{nil}) = a\mbox{ and }\mbox{hd}(\mbox{sk}_4) = b\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4)\mbox{ and }\mbox{neq}(\mbox{sk}_4,\mbox{nil}) ) \ \Rightarrow \ \mbox{sk}_3 = a\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{sk}_1 = a\mbox{ and }\mbox{ssItem}(b)\mbox{ and }\mbox{cons}(b,\mbox{nil}) = a\mbox{ and }\mbox{hd}(\mbox{sk}_2) = b\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_2) ) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC001+1.p} cond\_as\_set\_x\_as\_set

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{duplicatefreeP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }( ( \neg\,\mbox{memberP}(x,y)\mbox{ and }\mbox{memberP}(w,y) )\mbox{ or }( \neg\,\mbox{memberP}(w,y)\mbox{ and }\mbox{memberP}(x,y) ) ) )\mbox{ or }( \forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ ( ( \neg\,\mbox{memberP}(v,z)\mbox{ and }\neg\,\mbox{memberP}(u,z) )\mbox{ or }( \mbox{memberP}(v,z)\mbox{ and }\mbox{memberP}(u,z) ) ) )\mbox{ and }\mbox{duplicatefreeP}(u) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC176-1.p} cond\_pst\_diff\_adj2\_x\_run\_strict\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_5,\mbox{sk}_3),\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(\mbox{cons}(c,\mbox{nil}),d) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(a,c)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_6\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_{10})\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_9,\mbox{cons}(\mbox{sk}_7,\mbox{nil})),\mbox{cons}(\mbox{sk}_8,\mbox{nil})),\mbox{sk}_{10}) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_7,\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

\medskip\textbf{SWC218-1.p} cond\_pst\_not\_nil\_x\_insert\_some

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_5,\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_5,\mbox{cons}(\mbox{sk}_7,\mbox{nil})),\mbox{sk}_6) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_1,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC356+1.p} cond\_segment\_ne\_x\_minimal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{segmentP}(v,u)\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,y)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }y\ne z\mbox{ and }\mbox{memberP}(x,z)\mbox{ and }\mbox{leq}(z,y) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC298+1.p} cond\_pst\_top\_sorted\_x\_minimal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ \forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),x_2),\mbox{cons}(z,\mbox{nil})),x_3)\ne u\mbox{ or }\neg\,\mbox{lt}(z,y) ) ) ) ) ) )\mbox{ or }( \forall x_4{:}\;( \mbox{ssItem}(x_4) \ \Rightarrow \ ( \mbox{cons}(x_4,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,x_4)\mbox{ or }\exists x_5{:}\;( \mbox{ssItem}(x_5)\mbox{ and }x_4\ne x_5\mbox{ and }\mbox{memberP}(x,x_5)\mbox{ and }\mbox{leq}(x_5,x_4) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC270-1.p} cond\_pst\_sorted1\_x\_run\_strict\_ord

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\neg\,\mbox{totalorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

\medskip\textbf{SWC299-1.p} cond\_pst\_top\_sorted\_x\_pivot

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_8),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_9) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{lt}(\mbox{sk}_6,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_{10})\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_{10})\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_{11})\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_{12})\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_{10},\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_{11},\mbox{sk}_3),\mbox{sk}_{12}) = \mbox{sk}_4\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_{11},a)\mbox{ and }\mbox{lt}(\mbox{sk}_{10},a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_{12},a)\mbox{ and }\mbox{lt}(a,\mbox{sk}_{10}) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{21},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_{11})\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{22},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_{12})\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{23},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_{10},\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{24},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_{11},\mbox{sk}_3),\mbox{sk}_{12}) = \mbox{sk}_4\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{25},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_{11},a)\mbox{ and }\mbox{lt}(\mbox{sk}_{10},a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{26},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_{12},a)\mbox{ and }\mbox{lt}(a,\mbox{sk}_{10}) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{27},\mbox{negated\_conjecture})$

\medskip\textbf{SWC026-1.p} cond\_id\_nil\_iff\_x\_id\_nil\_iff

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{nil} = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC303+1.p} cond\_pst\_top\_sorted\_x\_run\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }x\ne v\mbox{ or }w\ne u\mbox{ or }\forall y{:}\;( \neg\,\mbox{ssList}(y)\mbox{ or }\mbox{app}(w,y)\ne x\mbox{ or }\neg\,\mbox{totalorderedP}(w)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{app}(x_3,\mbox{cons}(x_2,\mbox{nil})) = w\mbox{ and }\mbox{leq}(x_2,z) ) ) ) ) )\mbox{ or }\forall x_4{:}\;( \mbox{ssItem}(x_4) \ \Rightarrow \ \forall x_5{:}\;( \mbox{ssItem}(x_5) \ \Rightarrow \ \forall x_6{:}\;( \mbox{ssList}(x_6) \ \Rightarrow \ \forall x_7{:}\;( \mbox{ssList}(x_7) \ \Rightarrow \ \forall x_8{:}\;( \neg\,\mbox{ssList}(x_8)\mbox{ or }\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(x_6,\mbox{cons}(x_4,\mbox{nil})),x_7),\mbox{cons}(x_5,\mbox{nil})),x_8)\ne u\mbox{ or }\neg\,\mbox{lt}(x_5,x_4) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC017+1.p} cond\_id\_front\_total1\_x\_ne\_segment\_front\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{frontsegP}(v,y)\mbox{ and }\mbox{frontsegP}(u,y) ) ) )\mbox{ or }( ( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w )\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\neg\,\mbox{frontsegP}(x,w) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC399+1.p} cond\_subst\_x\_run\_eq\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ \forall z{:}\;( \neg\,\mbox{ssList}(z)\mbox{ or }\mbox{app}(\mbox{app}(y,w),z)\ne x\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(x_2,\mbox{cons}(x_1,\mbox{nil})) = y\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{app}(\mbox{cons}(x_1,\mbox{nil}),x_3) = w ) ) )\mbox{ or }\exists x_4{:}\;( \mbox{ssItem}(x_4)\mbox{ and }\exists x_5{:}\;( \mbox{ssList}(x_5)\mbox{ and }\mbox{app}(\mbox{cons}(x_4,\mbox{nil}),x_5) = z\mbox{ and }\exists x_6{:}\;( \mbox{ssList}(x_6)\mbox{ and }\mbox{app}(x_6,\mbox{cons}(x_4,\mbox{nil})) = w ) ) ) ) )\mbox{ or }\forall x_7{:}\;( \neg\,\mbox{ssItem}(x_7)\mbox{ or }\neg\,\mbox{memberP}(u,x_7)\mbox{ or }\mbox{memberP}(v,x_7) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC286+1.p} cond\_pst\_strict\_sorted1\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{strictorderedP}(u)\mbox{ or }( \forall y{:}\;( \neg\,\mbox{ssItem}(y)\mbox{ or }\mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,y)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }y\ne z\mbox{ and }\mbox{memberP}(x,z)\mbox{ and }\mbox{leq}(y,z) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC136+1.p} cond\_pr\_works\_on\_nonempty\_x\_del\_max

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC281-1.p} cond\_pst\_sorted2\_x\_run\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{totalorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{leq}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_8) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_7,\mbox{sk}_9)\mbox{ or }\mbox{memberP}(\mbox{sk}_8,\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_6,\mbox{sk}_9) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_7,\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_9,\mbox{sk}_6) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_8,\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_9,\mbox{sk}_6) \ \Rightarrow \ \neg\,\mbox{leq}(\mbox{sk}_6,\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

\medskip\textbf{SWC186-1.p} cond\_pst\_different3\_x\_run\_strict\_ord\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{frontsegP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{strictorderedP}(a)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_7) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_6,\mbox{sk}_5)\mbox{ or }\mbox{memberP}(\mbox{sk}_7,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC109-1.p} cond\_ne\_segment\_total1\_x\_pivot

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{sk}_3),\mbox{sk}_7) = \mbox{sk}_4\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_6,a)\mbox{ and }\mbox{lt}(\mbox{sk}_5,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_7,a)\mbox{ and }\mbox{lt}(a,\mbox{sk}_5) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{sk}_3),\mbox{sk}_7) = \mbox{sk}_4\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_6,a)\mbox{ and }\mbox{lt}(\mbox{sk}_5,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_7,a)\mbox{ and }\mbox{lt}(a,\mbox{sk}_5) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{21},\mbox{negated\_conjecture})$

$( \mbox{neq}(\mbox{sk}_1,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{22},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{23},\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{neq}(\mbox{sk}_1,\mbox{nil}) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{24},\mbox{negated\_conjecture})$

\medskip\textbf{SWC060+1.p} cond\_id\_segment\_total1\_x\_ne\_segment\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,y)\mbox{ and }\mbox{segmentP}(u,y) ) ) )\mbox{ or }( ( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w )\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\neg\,\mbox{segmentP}(x,w) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC037+1.p} cond\_id\_nil\_x\_id\_segment\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( \mbox{nil}\ne v\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }( \forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ ( \neg\,\mbox{neq}(y,\mbox{nil})\mbox{ or }\neg\,\mbox{segmentP}(x,y)\mbox{ or }\neg\,\mbox{segmentP}(w,y) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC108+1.p} cond\_ne\_segment\_total1\_x\_ne\_segment\_rear\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }( \mbox{neq}(u,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,u) ) ) )\mbox{ or }( ( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w )\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\neg\,\mbox{rearsegP}(x,w) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC203-1.p} cond\_pst\_not\_nil\_ne\_x\_copy

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{sk}_4 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_1,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

\medskip\textbf{SWC246-1.p} cond\_pst\_pivoted3\_x\_run\_eq\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{lt}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{sk}_3),\mbox{sk}_7) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_6\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(\mbox{cons}(a,\mbox{nil}),c)\ne \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_7\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(c,\mbox{cons}(a,\mbox{nil}))\ne \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

\medskip\textbf{SWC043+1.p} cond\_id\_nil\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( \mbox{nil}\ne v\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ ( \mbox{app}(w,y)\ne x\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{app}(x_3,\mbox{cons}(x_2,\mbox{nil})) = w\mbox{ and }\mbox{lt}(x_2,z) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC096+1.p} cond\_last\_x\_last

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{cons}(y,\mbox{nil}) = u\mbox{ and }\mbox{app}(z,\mbox{cons}(y,\mbox{nil})) = v ) )\mbox{ or }\forall x_1{:}\;( \mbox{ssItem}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \neg\,\mbox{ssList}(x_2)\mbox{ or }\mbox{cons}(x_1,\mbox{nil})\ne w\mbox{ or }\mbox{app}(x_2,\mbox{cons}(x_1,\mbox{nil}))\ne x ) ) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC249-1.p} cond\_pst\_pivoted3\_x\_run\_strict\_ord\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{frontsegP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{strictorderedP}(a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{lt}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC224+1.p} cond\_pst\_pivoted1\_x\_run\_eq\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = u\mbox{ and }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ ( \neg\,\mbox{memberP}(z,x_2)\mbox{ or }\neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\neg\,\mbox{leq}(y,x_2)\mbox{ or }\mbox{leq}(x_2,y) ) ) ) ) )\mbox{ or }\forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ ( \mbox{app}(w,x_3)\ne x\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists x_4{:}\;( \mbox{ssItem}(x_4)\mbox{ and }\exists x_5{:}\;( \mbox{ssList}(x_5)\mbox{ and }\mbox{app}(\mbox{cons}(x_4,\mbox{nil}),x_5) = x_3\mbox{ and }\exists x_6{:}\;( \mbox{ssList}(x_6)\mbox{ and }\mbox{app}(x_6,\mbox{cons}(x_4,\mbox{nil})) = w ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC089+1.p} cond\_id\_segment\_x\_rot\_r\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,y)\mbox{ and }\mbox{segmentP}(u,y) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \mbox{neq}(x,\mbox{nil})\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }x\ne z\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{tl}(w) = x_1\mbox{ and }\mbox{app}(x_1,x_2) = z\mbox{ and }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\mbox{cons}(x_3,\mbox{nil}) = x_2\mbox{ and }\mbox{hd}(w) = x_3\mbox{ and }\mbox{neq}(\mbox{nil},w) )\mbox{ and }\mbox{neq}(\mbox{nil},w) ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC017-1.p} cond\_id\_front\_total1\_x\_ne\_segment\_front\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{frontsegP}(\mbox{sk}_2,a)\mbox{ and }\mbox{frontsegP}(\mbox{sk}_1,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{frontsegP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{frontsegP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC213-1.p} cond\_pst\_not\_nil\_ne\_x\_run\_eq\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_5,\mbox{sk}_3),\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_5\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(\mbox{cons}(a,\mbox{nil}),c)\ne \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_6\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(c,\mbox{cons}(a,\mbox{nil}))\ne \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_1,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC148-1.p} cond\_pr\_works\_on\_pairs\_x\_smallest

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{singletonP}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\neg\,\mbox{totalorderP}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

\medskip\textbf{SWC386+1.p} cond\_some\_total1\_x\_some\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,y) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\mbox{cons}(z,\mbox{nil}) = u\mbox{ and }\mbox{memberP}(v,z) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC363-1.p} cond\_segment\_ne\_x\_some\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC027-1.p} cond\_id\_nil\_iff\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_5,a) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_4 )\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_5,a) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{nil} = \mbox{sk}_3 )\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{nil} = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

\medskip\textbf{SWC130+1.p} cond\_pr\_works\_on\_cycles\_x\_head1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{neq}(x,\mbox{nil})\mbox{ or }\mbox{cyclefreeP}(v) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC319+1.p} cond\_rot\_r\_total1\_x\_rot\_r\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{app}(\mbox{cons}(y,\mbox{nil}),z)\ne w\mbox{ and }\mbox{app}(z,\mbox{cons}(y,\mbox{nil})) = x ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }( \exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }v = x_1\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{tl}(u) = x_2\mbox{ and }\mbox{app}(x_2,x_3) = x_1\mbox{ and }\exists x_4{:}\;( \mbox{ssItem}(x_4)\mbox{ and }\mbox{cons}(x_4,\mbox{nil}) = x_3\mbox{ and }\mbox{hd}(u) = x_4\mbox{ and }\mbox{neq}(\mbox{nil},u) )\mbox{ and }\mbox{neq}(\mbox{nil},u) ) ) )\mbox{ and }\mbox{neq}(u,\mbox{nil}) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC105+1.p} cond\_ne\_segment\_rear\_total1\_x\_ne\_segment\_rear\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }( \mbox{neq}(u,\mbox{nil})\mbox{ and }\mbox{rearsegP}(v,u) ) ) )\mbox{ or }( ( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w )\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\neg\,\mbox{rearsegP}(x,w) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC352+1.p} cond\_segment\_front\_x\_ne\_segment\_front\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{frontsegP}(v,u)\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \mbox{neq}(x,\mbox{nil})\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\neg\,\mbox{frontsegP}(x,w) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC092+1.p} cond\_id\_segment\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,y)\mbox{ and }\mbox{segmentP}(u,y) )\mbox{ or }\forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ ( \mbox{app}(w,z)\ne x\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(\mbox{cons}(x_1,\mbox{nil}),x_2) = z\mbox{ and }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\exists x_4{:}\;( \mbox{ssList}(x_4)\mbox{ and }\mbox{app}(x_4,\mbox{cons}(x_3,\mbox{nil})) = w\mbox{ and }\mbox{lt}(x_3,x_1) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC019+1.p} cond\_id\_front\_total2\_x\_copy

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }x\ne w\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{frontsegP}(v,y)\mbox{ and }\mbox{frontsegP}(u,y) )\mbox{ or }( \mbox{nil} = v\mbox{ and }\mbox{nil} = u ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC170-1.p} cond\_pst\_diff\_adj1\_x\_some\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_8) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_5,\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{singletonP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC149-1.p} cond\_pr\_works\_on\_pairs\_x\_swap\_ends

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssItem}(b)\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(\mbox{app}(\mbox{cons}(a,\mbox{nil}),\mbox{cons}(b,\mbox{nil})),c)\ne \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\neg\,\mbox{singletonP}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

\medskip\textbf{SWC041-1.p} cond\_id\_nil\_x\_run\_eq\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(c,\mbox{cons}(a,\mbox{nil}))\ne \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

\medskip\textbf{SWC244-1.p} cond\_pst\_pivoted3\_x\_run\_eq\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{frontsegP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{equalelemsP}(a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{lt}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC361-1.p} cond\_segment\_ne\_x\_run\_strict\_ord\_max1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{strictorderedP}(a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

\medskip\textbf{SWC416+1.p} cond\_tail2\_x\_tail3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }v = y\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{app}(z,u) = y\mbox{ and }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\mbox{cons}(x_1,\mbox{nil}) = z\mbox{ and }\mbox{hd}(v) = x_1\mbox{ and }\mbox{neq}(\mbox{nil},v) ) ) )\mbox{ or }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ \mbox{app}(\mbox{cons}(x_2,\mbox{nil}),w)\ne x ) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC023-1.p} cond\_id\_front\_x\_id\_front\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{frontsegP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{frontsegP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_5,\mbox{nil})\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_3,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_5,\mbox{nil})\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_3,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

\medskip\textbf{SWC160-1.p} cond\_pst\_cyc\_sorted\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_{10})\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_8,\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_9),\mbox{cons}(\mbox{sk}_7,\mbox{nil})),\mbox{sk}_{10}) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_7,\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_6,\mbox{sk}_7) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_{11})\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_6,\mbox{sk}_7) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_9,\mbox{sk}_{11})\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$( \mbox{leq}(\mbox{sk}_6,\mbox{sk}_{11})\mbox{ and }\mbox{leq}(\mbox{sk}_{11},\mbox{sk}_7) ) \ \Rightarrow \ \neg\,\mbox{leq}(\mbox{sk}_6,\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{21},\mbox{negated\_conjecture})$

\medskip\textbf{SWC390+1.p} cond\_some\_total3\_x\_some\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,y) ) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) )\mbox{ or }( \mbox{segmentP}(v,u)\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{singletonP}(u) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC218+1.p} cond\_pst\_not\_nil\_x\_insert\_some

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ ( \mbox{app}(y,z)\ne x\mbox{ or }\forall x_1{:}\;( \mbox{ssItem}(x_1) \ \Rightarrow \ \mbox{app}(\mbox{app}(y,\mbox{cons}(x_1,\mbox{nil})),z)\ne w ) ) ) )\mbox{ or }\mbox{neq}(u,\mbox{nil}) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC398+1.p} cond\_subst\_x\_run\_eq\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ ( \mbox{app}(w,y)\ne x\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(x_2,\mbox{cons}(z,\mbox{nil})) = w ) ) ) ) )\mbox{ or }\forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ ( \neg\,\mbox{memberP}(u,x_3)\mbox{ or }\mbox{memberP}(v,x_3) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC016+1.p} cond\_id\_front\_total1\_x\_id\_front\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ ( \neg\,\mbox{neq}(y,\mbox{nil})\mbox{ or }\neg\,\mbox{frontsegP}(x,y)\mbox{ or }\neg\,\mbox{frontsegP}(w,y) ) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{neq}(z,\mbox{nil})\mbox{ and }\mbox{frontsegP}(v,z)\mbox{ and }\mbox{frontsegP}(u,z) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC353+1.p} cond\_segment\_front\_x\_run\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ ( \mbox{app}(w,y)\ne x\mbox{ or }\neg\,\mbox{totalorderedP}(w)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{app}(x_3,\mbox{cons}(x_2,\mbox{nil})) = w\mbox{ and }\mbox{leq}(x_2,z) ) ) ) ) ) )\mbox{ or }\mbox{frontsegP}(v,u)\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC331+1.p} cond\_run\_eq\_x\_run\_eq\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ ( \mbox{app}(w,y)\ne x\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(x_2,\mbox{cons}(z,\mbox{nil})) = w ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w )\mbox{ or }( \mbox{segmentP}(v,u)\mbox{ and }\mbox{equalelemsP}(u) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC215-1.p} cond\_pst\_not\_nil\_ne\_x\_set\_max\_elems

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a) ) \ \Rightarrow \ ( \mbox{memberP}(\mbox{sk}_3,a)\mbox{ or }\mbox{ssItem}(\mbox{sk}_5(a)) )\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a) ) \ \Rightarrow \ ( \mbox{memberP}(\mbox{sk}_3,a)\mbox{ or }\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5(a)) )\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a) ) \ \Rightarrow \ ( \mbox{memberP}(\mbox{sk}_3,a)\mbox{ or }\mbox{leq}(a,\mbox{sk}_5(a)) )\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }a = \mbox{sk}_5(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a) ) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_3,a)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_3,a) ) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_4,a)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_3,a)\mbox{ and }\mbox{ssItem}(b)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,b)\mbox{ and }\mbox{leq}(a,b) ) \ \Rightarrow \ a = b\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_1,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC255-1.p} cond\_pst\_singleton\_ne\_x\_pst\_singleton\_ne

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{singletonP}(\mbox{sk}_3)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{singletonP}(\mbox{sk}_1) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{singletonP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{singletonP}(\mbox{sk}_1) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC415+1.p} cond\_tail1\_x\_tail1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }w\ne y\mbox{ and }\mbox{tl}(x) = y\mbox{ and }\mbox{neq}(\mbox{nil},x) )\mbox{ or }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{tl}(v) = z\mbox{ and }u = z\mbox{ and }\mbox{neq}(\mbox{nil},v) ) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC079+1.p} cond\_id\_segment\_x\_head1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,y)\mbox{ and }\mbox{segmentP}(u,y) )\mbox{ or }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }w\ne z\mbox{ and }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\mbox{cons}(x_1,\mbox{nil}) = z\mbox{ and }\mbox{hd}(x) = x_1\mbox{ and }\mbox{neq}(\mbox{nil},x) ) ) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC402+1.p} cond\_subst\_x\_run\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ \forall z{:}\;( \neg\,\mbox{ssList}(z)\mbox{ or }\mbox{app}(\mbox{app}(y,w),z)\ne x\mbox{ or }\neg\,\mbox{totalorderedP}(w)\mbox{ or }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(x_2,\mbox{cons}(x_1,\mbox{nil})) = y\mbox{ and }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\exists x_4{:}\;( \mbox{ssList}(x_4)\mbox{ and }\mbox{app}(\mbox{cons}(x_3,\mbox{nil}),x_4) = w\mbox{ and }\mbox{leq}(x_1,x_3) ) ) ) )\mbox{ or }\exists x_5{:}\;( \mbox{ssItem}(x_5)\mbox{ and }\exists x_6{:}\;( \mbox{ssList}(x_6)\mbox{ and }\mbox{app}(\mbox{cons}(x_5,\mbox{nil}),x_6) = z\mbox{ and }\exists x_7{:}\;( \mbox{ssItem}(x_7)\mbox{ and }\exists x_8{:}\;( \mbox{ssList}(x_8)\mbox{ and }\mbox{app}(x_8,\mbox{cons}(x_7,\mbox{nil})) = w\mbox{ and }\mbox{leq}(x_7,x_5) ) ) ) ) ) )\mbox{ or }\forall x_9{:}\;( \neg\,\mbox{ssItem}(x_9)\mbox{ or }\neg\,\mbox{memberP}(u,x_9)\mbox{ or }\mbox{memberP}(v,x_9) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC373-1.p} cond\_segment\_x\_segment\_rear

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{rearsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

\medskip\textbf{SWC065+1.p} cond\_id\_segment\_total1\_x\_run\_eq\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ ( \mbox{app}(w,y)\ne x\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(x_2,\mbox{cons}(z,\mbox{nil})) = w ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{neq}(x_3,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,x_3)\mbox{ and }\mbox{segmentP}(u,x_3) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC399-1.p} cond\_subst\_x\_run\_eq\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_5,\mbox{sk}_3),\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_5\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(\mbox{cons}(a,\mbox{nil}),c)\ne \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_6\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(c,\mbox{cons}(a,\mbox{nil}))\ne \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\neg\,\mbox{memberP}(\mbox{sk}_2,\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

\medskip\textbf{SWC377-1.p} cond\_set\_eq\_x\_rot\_r\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_2,\mbox{sk}_5)\mbox{ or }\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_2,\mbox{sk}_5) \ \Rightarrow \ \neg\,\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{cons}(\mbox{sk}_6,\mbox{nil}),\mbox{sk}_7) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_6,\mbox{nil})) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC105-1.p} cond\_ne\_segment\_rear\_total1\_x\_ne\_segment\_rear\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{neq}(\mbox{sk}_1,\mbox{nil})\mbox{ and }\mbox{rearsegP}(\mbox{sk}_2,\mbox{sk}_1) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{neq}(\mbox{sk}_1,\mbox{nil}) ) \ \Rightarrow \ \neg\,\mbox{rearsegP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{rearsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{rearsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC028-1.p} cond\_id\_nil\_iff\_x\_ne\_segment\_rear\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{nil} = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{rearsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{rearsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC103-1.p} cond\_ne\_segment\_front\_x\_ne\_segment\_front\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_1,\mbox{nil}) \ \Rightarrow \ \neg\,\mbox{frontsegP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

\medskip\textbf{SWC028+1.p} cond\_id\_nil\_iff\_x\_ne\_segment\_rear\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \mbox{nil}\ne u\mbox{ or }\mbox{nil} = v ) )\mbox{ or }( ( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w )\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\neg\,\mbox{rearsegP}(x,w) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC090+1.p} cond\_id\_segment\_x\_rotate

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,y)\mbox{ and }\mbox{segmentP}(u,y) )\mbox{ or }\forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ ( \mbox{app}(z,x_1)\ne x\mbox{ or }\mbox{app}(x_1,z)\ne w ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC294+1.p} cond\_pst\_strict\_sorted1\_x\_some\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\mbox{strictorderedP}(u)\mbox{ or }( \neg\,\mbox{singletonP}(w)\mbox{ and }\mbox{neq}(x,\mbox{nil}) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC166+1.p} cond\_pst\_diff\_adj1\_x\_pst\_singleton

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{singletonP}(w)\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),\mbox{cons}(z,\mbox{nil})),x_2)\ne u\mbox{ or }\mbox{neq}(y,z) ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC226+1.p} cond\_pst\_pivoted1\_x\_run\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = u\mbox{ and }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ ( \neg\,\mbox{memberP}(z,x_2)\mbox{ or }\neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\neg\,\mbox{leq}(y,x_2)\mbox{ or }\mbox{leq}(x_2,y) ) ) ) ) )\mbox{ or }\forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ ( \mbox{app}(w,x_3)\ne x\mbox{ or }\neg\,\mbox{totalorderedP}(w)\mbox{ or }\exists x_4{:}\;( \mbox{ssItem}(x_4)\mbox{ and }\exists x_5{:}\;( \mbox{ssList}(x_5)\mbox{ and }\mbox{app}(\mbox{cons}(x_4,\mbox{nil}),x_5) = x_3\mbox{ and }\exists x_6{:}\;( \mbox{ssItem}(x_6)\mbox{ and }\exists x_7{:}\;( \mbox{ssList}(x_7)\mbox{ and }\mbox{app}(x_7,\mbox{cons}(x_6,\mbox{nil})) = w\mbox{ and }\mbox{leq}(x_6,x_4) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC305+1.p} cond\_pst\_top\_sorted\_x\_run\_strict\_ord\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{frontsegP}(x,w)\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(w,y)\mbox{ and }\mbox{frontsegP}(x,y)\mbox{ and }\mbox{segmentP}(y,w)\mbox{ and }\mbox{strictorderedP}(y) )\mbox{ or }\forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssItem}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ \forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \mbox{ssList}(x_4) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(x_2,\mbox{cons}(z,\mbox{nil})),x_3),\mbox{cons}(x_1,\mbox{nil})),x_4)\ne u\mbox{ or }\neg\,\mbox{lt}(x_1,z) ) ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC297+1.p} cond\_pst\_strict\_sorted2\_x\_some\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1)\ne u\mbox{ or }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ ( ( \neg\,\mbox{memberP}(z,x_2)\mbox{ or }\mbox{lt}(x_2,y) )\mbox{ and }( \neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\mbox{lt}(y,x_2) ) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ ( \mbox{cons}(x_3,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,x_3) ) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC206+1.p} cond\_pst\_not\_nil\_ne\_x\_id\_segment\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(u,\mbox{nil})\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ ( \neg\,\mbox{neq}(y,\mbox{nil})\mbox{ or }\neg\,\mbox{segmentP}(x,y)\mbox{ or }\neg\,\mbox{segmentP}(w,y) ) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC130-1.p} cond\_pr\_works\_on\_cycles\_x\_head1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{cyclefreeP}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

\medskip\textbf{SWC090-1.p} cond\_id\_segment\_x\_rotate

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_5,\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_6,\mbox{sk}_5) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC330-1.p} cond\_run\_eq\_x\_pivot

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{sk}_3),\mbox{sk}_7) = \mbox{sk}_4\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_6,a)\mbox{ and }\mbox{lt}(\mbox{sk}_5,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_7,a)\mbox{ and }\mbox{lt}(a,\mbox{sk}_5) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{sk}_3),\mbox{sk}_7) = \mbox{sk}_4\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_6,a)\mbox{ and }\mbox{lt}(\mbox{sk}_5,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_7,a)\mbox{ and }\mbox{lt}(a,\mbox{sk}_5) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) \ \Rightarrow \ \neg\,\mbox{equalelemsP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{21},\mbox{negated\_conjecture})$

\medskip\textbf{SWC291-1.p} cond\_pst\_strict\_sorted1\_x\_run\_strict\_ord\_max1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{strictorderedP}(a)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\neg\,\mbox{strictorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

\medskip\textbf{SWC282+1.p} cond\_pst\_sorted2\_x\_run\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ \forall z{:}\;( \neg\,\mbox{ssList}(z)\mbox{ or }\mbox{app}(\mbox{app}(y,w),z)\ne x\mbox{ or }\neg\,\mbox{totalorderedP}(w)\mbox{ or }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(x_2,\mbox{cons}(x_1,\mbox{nil})) = y\mbox{ and }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\exists x_4{:}\;( \mbox{ssList}(x_4)\mbox{ and }\mbox{app}(\mbox{cons}(x_3,\mbox{nil}),x_4) = w\mbox{ and }\mbox{leq}(x_1,x_3) ) ) ) )\mbox{ or }\exists x_5{:}\;( \mbox{ssItem}(x_5)\mbox{ and }\exists x_6{:}\;( \mbox{ssList}(x_6)\mbox{ and }\mbox{app}(\mbox{cons}(x_5,\mbox{nil}),x_6) = z\mbox{ and }\exists x_7{:}\;( \mbox{ssItem}(x_7)\mbox{ and }\exists x_8{:}\;( \mbox{ssList}(x_8)\mbox{ and }\mbox{app}(x_8,\mbox{cons}(x_7,\mbox{nil})) = w\mbox{ and }\mbox{leq}(x_7,x_5) ) ) ) ) ) )\mbox{ or }\forall x_9{:}\;( \mbox{ssItem}(x_9) \ \Rightarrow \ \forall x_{10}{:}\;( \mbox{ssList}(x_{10}) \ \Rightarrow \ \forall x_{11}{:}\;( \neg\,\mbox{ssList}(x_{11})\mbox{ or }\mbox{app}(\mbox{app}(x_{10},\mbox{cons}(x_9,\mbox{nil})),x_{11})\ne u\mbox{ or }\forall x_{12}{:}\;( \mbox{ssItem}(x_{12}) \ \Rightarrow \ ( ( \neg\,\mbox{memberP}(x_{10},x_{12})\mbox{ or }\mbox{leq}(x_{12},x_9) )\mbox{ and }( \neg\,\mbox{memberP}(x_{11},x_{12})\mbox{ or }\mbox{leq}(x_9,x_{12}) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC324-1.p} cond\_rotate\_x\_rot\_l\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(a,b) = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{app}(b,a)\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_4 ) \ \Rightarrow \ \mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

\medskip\textbf{SWC202-1.p} cond\_pst\_equal3\_x\_run\_eq\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(a) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(a))\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(a) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_1,\mbox{sk}_5(a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(a) \ \Rightarrow \ a\ne \mbox{sk}_5(a)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{sk}_3),\mbox{sk}_7) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_6\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(\mbox{cons}(a,\mbox{nil}),c)\ne \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_7\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(c,\mbox{cons}(a,\mbox{nil}))\ne \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

\medskip\textbf{SWC306-1.p} cond\_pst\_top\_sorted\_x\_some\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_8),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_9) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{lt}(\mbox{sk}_6,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_{10})\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_{10})\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_{10},\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_{10})\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_{10},\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_{10})\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

\medskip\textbf{SWC021-1.p} cond\_id\_front\_total2\_x\_run\_strict\_ord\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{frontsegP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{frontsegP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{frontsegP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{strictorderedP}(a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

\medskip\textbf{SWC380-1.p} cond\_some1\_x\_head3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{cons}(a,\mbox{nil}) = \mbox{sk}_1\mbox{ and }\mbox{memberP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{cons}(\mbox{sk}_5,\mbox{nil}),\mbox{sk}_6) = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{cons}(a,\mbox{nil}) = \mbox{sk}_1\mbox{ and }\mbox{memberP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{cons}(\mbox{sk}_5,\mbox{nil}),\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

\medskip\textbf{SWC375+1.p} cond\_set\_eq\_x\_copy

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }x\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( ( \neg\,\mbox{memberP}(v,y)\mbox{ and }\neg\,\mbox{memberP}(u,y) )\mbox{ or }( \mbox{memberP}(v,y)\mbox{ and }\mbox{memberP}(u,y) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC377+1.p} cond\_set\_eq\_x\_rot\_r\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( ( \neg\,\mbox{memberP}(v,y)\mbox{ and }\neg\,\mbox{memberP}(u,y) )\mbox{ or }( \mbox{memberP}(v,y)\mbox{ and }\mbox{memberP}(u,y) ) ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ ( \mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1)\ne w\mbox{ or }\mbox{app}(x_1,\mbox{cons}(z,\mbox{nil}))\ne x ) ) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC062+1.p} cond\_id\_segment\_total1\_x\_rot\_l\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{app}(z,\mbox{cons}(y,\mbox{nil}))\ne w\mbox{ and }\mbox{app}(\mbox{cons}(y,\mbox{nil}),z) = x ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{neq}(x_1,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,x_1)\mbox{ and }\mbox{segmentP}(u,x_1) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC396-1.p} cond\_subst\_x\_rot\_r\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\neg\,\mbox{memberP}(\mbox{sk}_2,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{neq}(\mbox{sk}_4,\mbox{nil})\mbox{ and }\mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{tl}(\mbox{sk}_3) = b\mbox{ and }\mbox{app}(b,c) = a\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{cons}(d,\mbox{nil}) = c\mbox{ and }\mbox{hd}(\mbox{sk}_3) = d\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_3)\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_3) ) \ \Rightarrow \ \mbox{sk}_4 = a\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC086+1.p} cond\_id\_segment\_x\_ne\_segment\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,y)\mbox{ and }\mbox{segmentP}(u,y) )\mbox{ or }( ( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w )\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\neg\,\mbox{segmentP}(x,w) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC285-1.p} cond\_pst\_sorted2\_x\_some\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_7) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_6,\mbox{sk}_8)\mbox{ or }\mbox{memberP}(\mbox{sk}_7,\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_5,\mbox{sk}_8) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_6,\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_8,\mbox{sk}_5) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_7,\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_8,\mbox{sk}_5) \ \Rightarrow \ \neg\,\mbox{leq}(\mbox{sk}_5,\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{singletonP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

\medskip\textbf{SWC293+1.p} cond\_pst\_strict\_sorted1\_x\_some\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{strictorderedP}(u)\mbox{ or }( \forall y{:}\;( \neg\,\mbox{ssItem}(y)\mbox{ or }\mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,y) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC341+1.p} cond\_run\_ord\_x\_some\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,y) ) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) )\mbox{ or }( \mbox{segmentP}(v,u)\mbox{ and }\mbox{totalorderedP}(u) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC030-1.p} cond\_id\_nil\_iff\_x\_rotate

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_5,\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_6,\mbox{sk}_5) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{nil} = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC023+1.p} cond\_id\_front\_x\_id\_front\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{frontsegP}(v,y)\mbox{ and }\mbox{frontsegP}(u,y) )\mbox{ or }( \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ ( \neg\,\mbox{neq}(z,\mbox{nil})\mbox{ or }\neg\,\mbox{frontsegP}(x,z)\mbox{ or }\neg\,\mbox{frontsegP}(w,z) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC403+1.p} cond\_subst\_x\_run\_strict\_ord\_max1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(w,y)\mbox{ and }\mbox{segmentP}(x,y)\mbox{ and }\mbox{segmentP}(y,w)\mbox{ and }\mbox{strictorderedP}(y) )\mbox{ or }\forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ ( \neg\,\mbox{memberP}(u,z)\mbox{ or }\mbox{memberP}(v,z) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC116+1.p} cond\_ne\_segment\_total2\_x\_ne\_segment\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \mbox{nil} = v\mbox{ and }\mbox{nil} = u )\mbox{ or }( \mbox{neq}(u,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,u) )\mbox{ or }( \mbox{neq}(x,\mbox{nil})\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\neg\,\mbox{segmentP}(x,w) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC391+1.p} cond\_subst\_x\_copy

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }x\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \neg\,\mbox{memberP}(u,y)\mbox{ or }\mbox{memberP}(v,y) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC022-1.p} cond\_id\_front\_x\_head1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{frontsegP}(\mbox{sk}_2,a)\mbox{ and }\mbox{frontsegP}(\mbox{sk}_1,a) ) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssItem}(b)\mbox{ and }\mbox{cons}(b,\mbox{nil}) = a\mbox{ and }\mbox{hd}(\mbox{sk}_4) = b\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4) ) \ \Rightarrow \ ( \mbox{sk}_3 = a\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil}) )\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{frontsegP}(\mbox{sk}_2,a)\mbox{ and }\mbox{frontsegP}(\mbox{sk}_1,a) ) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssItem}(b)\mbox{ and }\mbox{cons}(b,\mbox{nil}) = a\mbox{ and }\mbox{hd}(\mbox{sk}_4) = b\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4)\mbox{ and }\mbox{neq}(\mbox{sk}_4,\mbox{nil}) ) \ \Rightarrow \ \mbox{sk}_3 = a\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC162+1.p} cond\_pst\_cyc\_sorted\_x\_some\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ \forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),x_2),\mbox{cons}(z,\mbox{nil})),x_3)\ne u\mbox{ or }\neg\,\mbox{leq}(z,y)\mbox{ or }( \forall x_4{:}\;( \mbox{ssItem}(x_4) \ \Rightarrow \ ( \neg\,\mbox{memberP}(x_2,x_4)\mbox{ or }( \mbox{leq}(y,x_4)\mbox{ and }\mbox{leq}(x_4,z) ) ) )\mbox{ and }\mbox{leq}(y,z) ) ) ) ) ) ) )\mbox{ or }( \neg\,\mbox{singletonP}(w)\mbox{ and }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC290-1.p} cond\_pst\_strict\_sorted1\_x\_pst\_strict\_sorted2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_3\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{memberP}(c,d) ) \ \Rightarrow \ \mbox{lt}(a,d)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_3\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{memberP}(b,d) ) \ \Rightarrow \ \mbox{lt}(d,a)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\neg\,\mbox{strictorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

\medskip\textbf{SWC374+1.p} cond\_segment\_x\_some\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{segmentP}(v,u)\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,y) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC417-1.p} cond\_turn\_x\_rot\_l2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_2\mbox{ and }\mbox{app}(\mbox{app}(c,\mbox{cons}(a,\mbox{nil})),b) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{cons}(\mbox{sk}_5,\mbox{nil}),\mbox{sk}_6) = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_2\mbox{ and }\mbox{app}(\mbox{app}(c,\mbox{cons}(a,\mbox{nil})),b) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{cons}(\mbox{sk}_5,\mbox{nil}),\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

\medskip\textbf{SWC014+1.p} cond\_head2\_x\_head3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }v = y\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{tl}(v) = z\mbox{ and }\mbox{app}(u,z) = y\mbox{ and }\mbox{neq}(\mbox{nil},v) ) )\mbox{ or }\forall x_1{:}\;( \mbox{ssItem}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ ( \mbox{cons}(x_1,\mbox{nil})\ne w\mbox{ or }\mbox{app}(\mbox{cons}(x_1,\mbox{nil}),x_2)\ne x ) ) ) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC179-1.p} cond\_pst\_different2\_x\_pivot

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\neg\,\mbox{duplicatefreeP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{sk}_3),\mbox{sk}_7) = \mbox{sk}_4\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_6,a)\mbox{ and }\mbox{lt}(\mbox{sk}_5,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_7,a)\mbox{ and }\mbox{lt}(a,\mbox{sk}_5) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{sk}_3),\mbox{sk}_7) = \mbox{sk}_4\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_6,a)\mbox{ and }\mbox{lt}(\mbox{sk}_5,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_7,a)\mbox{ and }\mbox{lt}(a,\mbox{sk}_5) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{21},\mbox{negated\_conjecture})$

\medskip\textbf{SWC225+1.p} cond\_pst\_pivoted1\_x\_run\_eq\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = u\mbox{ and }\forall x_2{:}\;( \neg\,\mbox{ssItem}(x_2)\mbox{ or }\neg\,\mbox{memberP}(z,x_2)\mbox{ or }\neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\neg\,\mbox{leq}(y,x_2)\mbox{ or }\mbox{leq}(x_2,y) ) ) ) )\mbox{ or }\forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \neg\,\mbox{ssList}(x_4)\mbox{ or }\mbox{app}(\mbox{app}(x_3,w),x_4)\ne x\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists x_5{:}\;( \mbox{ssItem}(x_5)\mbox{ and }\exists x_6{:}\;( \mbox{ssList}(x_6)\mbox{ and }\mbox{app}(x_6,\mbox{cons}(x_5,\mbox{nil})) = x_3\mbox{ and }\exists x_7{:}\;( \mbox{ssList}(x_7)\mbox{ and }\mbox{app}(\mbox{cons}(x_5,\mbox{nil}),x_7) = w ) ) )\mbox{ or }\exists x_8{:}\;( \mbox{ssItem}(x_8)\mbox{ and }\exists x_9{:}\;( \mbox{ssList}(x_9)\mbox{ and }\mbox{app}(\mbox{cons}(x_8,\mbox{nil}),x_9) = x_4\mbox{ and }\exists x_{10}{:}\;( \mbox{ssList}(x_{10})\mbox{ and }\mbox{app}(x_{10},\mbox{cons}(x_8,\mbox{nil})) = w ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC359+1.p} cond\_segment\_ne\_x\_run\_eq\_max1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(w,y)\mbox{ and }\mbox{segmentP}(x,y)\mbox{ and }\mbox{segmentP}(y,w)\mbox{ and }\mbox{equalelemsP}(y) )\mbox{ or }\mbox{segmentP}(v,u) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC002+1.p} cond\_del\_max\_x\_del\_max

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = v\mbox{ and }\mbox{app}(z,x_1) = u\mbox{ and }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ ( \neg\,\mbox{memberP}(v,x_2)\mbox{ or }\neg\,\mbox{geq}(x_2,y)\mbox{ or }y = x_2 ) ) ) ) )\mbox{ or }\forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \mbox{ssList}(x_4) \ \Rightarrow \ \forall x_5{:}\;( \mbox{ssList}(x_5) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(x_4,\mbox{cons}(x_3,\mbox{nil})),x_5)\ne x\mbox{ or }\mbox{app}(x_4,x_5)\ne w\mbox{ or }\exists x_6{:}\;( \mbox{ssItem}(x_6)\mbox{ and }x_3\ne x_6\mbox{ and }\mbox{memberP}(x,x_6)\mbox{ and }\mbox{geq}(x_6,x_3) ) ) ) ) ) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC322-1.p} cond\_rot\_r\_total3\_x\_rot\_r\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_4 ) \ \Rightarrow \ \mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_2\mbox{ or }\mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{cons}(\mbox{sk}_5,\mbox{nil}),\mbox{sk}_6) = \mbox{sk}_1 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{cons}(\mbox{sk}_5,\mbox{nil}),\mbox{sk}_6) = \mbox{sk}_1 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

\medskip\textbf{SWC265-1.p} cond\_pst\_sorted1\_x\_pst\_strict\_sorted2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_3\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{memberP}(c,d) ) \ \Rightarrow \ \mbox{lt}(a,d)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_3\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{memberP}(b,d) ) \ \Rightarrow \ \mbox{lt}(d,a)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\neg\,\mbox{totalorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

\medskip\textbf{SWC323-1.p} cond\_rotate\_x\_rot\_l\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(a,b) = \mbox{sk}_2 ) \ \Rightarrow \ \mbox{app}(b,a)\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{cons}(\mbox{sk}_5,\mbox{nil}),\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC035-1.p} cond\_id\_nil\_x\_copy

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{sk}_4 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

\medskip\textbf{SWC153+1.p} cond\_pst\_cyc\_sorted\_x\_pst\_cyc\_sorted

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( x\ne v\mbox{ or }w\ne u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),x_2),\mbox{cons}(z,\mbox{nil})),x_3) = w\mbox{ and }\mbox{leq}(z,y)\mbox{ and }( \neg\,\mbox{leq}(y,z)\mbox{ or }\exists x_4{:}\;( \mbox{ssItem}(x_4)\mbox{ and }\mbox{memberP}(x_2,x_4)\mbox{ and }( \neg\,\mbox{leq}(y,x_4)\mbox{ or }\neg\,\mbox{leq}(x_4,z) ) ) ) ) ) ) ) )\mbox{ or }\forall x_5{:}\;( \mbox{ssItem}(x_5) \ \Rightarrow \ \forall x_6{:}\;( \mbox{ssItem}(x_6) \ \Rightarrow \ \forall x_7{:}\;( \mbox{ssList}(x_7) \ \Rightarrow \ \forall x_8{:}\;( \mbox{ssList}(x_8) \ \Rightarrow \ \forall x_9{:}\;( \mbox{ssList}(x_9) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(x_7,\mbox{cons}(x_5,\mbox{nil})),x_8),\mbox{cons}(x_6,\mbox{nil})),x_9)\ne u\mbox{ or }\neg\,\mbox{leq}(x_6,x_5)\mbox{ or }( \forall x_{10}{:}\;( \mbox{ssItem}(x_{10}) \ \Rightarrow \ ( \neg\,\mbox{memberP}(x_8,x_{10})\mbox{ or }( \mbox{leq}(x_{10},x_6)\mbox{ and }\mbox{leq}(x_5,x_{10}) ) ) )\mbox{ and }\mbox{leq}(x_5,x_6) ) ) ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC209-1.p} cond\_pst\_not\_nil\_ne\_x\_ne\_segment\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_1,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC236-1.p} cond\_pst\_pivoted2\_x\_run\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{lt}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{sk}_3),\mbox{sk}_7) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{totalorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_6\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(\mbox{cons}(c,\mbox{nil}),d) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{leq}(a,c)\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_7\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{leq}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

\medskip\textbf{SWC173+1.p} cond\_pst\_diff\_adj2\_x\_pivot

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ ( \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ \mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),\mbox{cons}(z,\mbox{nil})),x_2)\ne u ) )\mbox{ or }\mbox{neq}(y,z) ) ) )\mbox{ or }( \forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \mbox{ssList}(x_4) \ \Rightarrow \ \forall x_5{:}\;( \mbox{ssList}(x_5) \ \Rightarrow \ ( \mbox{cons}(x_3,\mbox{nil})\ne w\mbox{ or }\mbox{app}(\mbox{app}(x_4,w),x_5)\ne x\mbox{ or }\exists x_6{:}\;( \mbox{ssItem}(x_6)\mbox{ and }\mbox{memberP}(x_4,x_6)\mbox{ and }\mbox{lt}(x_3,x_6) )\mbox{ or }\exists x_7{:}\;( \mbox{ssItem}(x_7)\mbox{ and }\mbox{memberP}(x_5,x_7)\mbox{ and }\mbox{lt}(x_7,x_3) ) ) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC354-1.p} cond\_segment\_ne\_x\_head1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssItem}(b)\mbox{ and }\mbox{cons}(b,\mbox{nil}) = a\mbox{ and }\mbox{hd}(\mbox{sk}_4) = b\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4) ) \ \Rightarrow \ ( \mbox{sk}_3 = a\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil}) )\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssItem}(b)\mbox{ and }\mbox{cons}(b,\mbox{nil}) = a\mbox{ and }\mbox{hd}(\mbox{sk}_4) = b\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4)\mbox{ and }\mbox{neq}(\mbox{sk}_4,\mbox{nil}) ) \ \Rightarrow \ \mbox{sk}_3 = a\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC015+1.p} cond\_head3\_x\_head2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }x\ne y\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{tl}(x) = z\mbox{ and }\mbox{app}(w,z) = y\mbox{ and }\mbox{neq}(\mbox{nil},x) ) )\mbox{ or }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{cons}(x_1,\mbox{nil}) = u\mbox{ and }\mbox{app}(\mbox{cons}(x_1,\mbox{nil}),x_2) = v ) ) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC024+1.p} cond\_id\_front\_x\_run\_eq\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{frontsegP}(v,y)\mbox{ and }\mbox{frontsegP}(u,y) )\mbox{ or }\forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ ( \mbox{app}(w,z)\ne x\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(\mbox{cons}(x_1,\mbox{nil}),x_2) = z\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{app}(x_3,\mbox{cons}(x_1,\mbox{nil})) = w ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC211-1.p} cond\_pst\_not\_nil\_ne\_x\_rot\_l\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_4 ) \ \Rightarrow \ \mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_1,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

\medskip\textbf{SWC074-1.p} cond\_id\_segment\_total2\_x\_rot\_r\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_4 ) \ \Rightarrow \ \mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

\medskip\textbf{SWC143-1.p} cond\_pr\_works\_on\_nonempty\_x\_tail1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

\medskip\textbf{SWC258+1.p} cond\_pst\_sorted1\_x\_minimal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{totalorderedP}(u)\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,y)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }y\ne z\mbox{ and }\mbox{memberP}(x,z)\mbox{ and }\mbox{leq}(z,y) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC411+1.p} cond\_superst\_x\_superst

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\neg\,\mbox{memberP}(w,y)\mbox{ and }\mbox{memberP}(x,y) )\mbox{ or }\forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ ( \neg\,\mbox{memberP}(v,z)\mbox{ or }\mbox{memberP}(u,z) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC355+1.p} cond\_segment\_ne\_x\_lead

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \mbox{app}(w,\mbox{cons}(y,\mbox{nil}))\ne x )\mbox{ or }\mbox{segmentP}(v,u) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC046-1.p} cond\_id\_nil\_x\_set\_unique\_elems

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a) ) \ \Rightarrow \ ( \mbox{memberP}(\mbox{sk}_3,a)\mbox{ or }\mbox{ssList}(\mbox{sk}_5(a)) )\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a) ) \ \Rightarrow \ ( \mbox{memberP}(\mbox{sk}_3,a)\mbox{ or }\mbox{segmentP}(\mbox{sk}_4,\mbox{app}(\mbox{app}(\mbox{cons}(a,\mbox{nil}),\mbox{sk}_5(a)),\mbox{cons}(a,\mbox{nil}))) )\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_3,a) ) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_4,a)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_3,a)\mbox{ and }\mbox{ssList}(b) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_4,\mbox{app}(\mbox{app}(\mbox{cons}(a,\mbox{nil}),b),\mbox{cons}(a,\mbox{nil})))\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC382-1.p} cond\_some2\_x\_head1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssItem}(b)\mbox{ and }\mbox{cons}(b,\mbox{nil}) = a\mbox{ and }\mbox{hd}(\mbox{sk}_4) = b\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4) ) \ \Rightarrow \ ( \mbox{sk}_3 = a\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil}) )\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{singletonP}(\mbox{sk}_1)\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) ) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssItem}(b)\mbox{ and }\mbox{cons}(b,\mbox{nil}) = a\mbox{ and }\mbox{hd}(\mbox{sk}_4) = b\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4)\mbox{ and }\mbox{neq}(\mbox{sk}_4,\mbox{nil}) ) \ \Rightarrow \ \mbox{sk}_3 = a\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{singletonP}(\mbox{sk}_1)\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) ) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC254+1.p} cond\_pst\_singleton\_ne\_x\_last

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ ( \mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\mbox{app}(z,\mbox{cons}(y,\mbox{nil}))\ne x ) ) )\mbox{ or }\mbox{singletonP}(u) )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC217+1.p} cond\_pst\_not\_nil\_ne\_x\_some\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(u,\mbox{nil})\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,y) ) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC196-1.p} cond\_pst\_equal2\_x\_run\_eq\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{equalelemsP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssList}(c) ) \ \Rightarrow \ \mbox{app}(c,\mbox{cons}(a,\mbox{nil}))\ne \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_{10})\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_8,\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_{10}),\mbox{cons}(\mbox{sk}_7,\mbox{nil})),\mbox{sk}_9) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{sk}_6\ne \mbox{sk}_7\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

\medskip\textbf{SWC139-1.p} cond\_pr\_works\_on\_nonempty\_x\_id\_rear

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

\medskip\textbf{SWC178+1.p} cond\_pst\_diff\_adj2\_x\_some\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ ( \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ \mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),\mbox{cons}(z,\mbox{nil})),x_2)\ne u ) )\mbox{ or }\mbox{neq}(y,z) ) ) )\mbox{ or }( \neg\,\mbox{singletonP}(w)\mbox{ and }\mbox{neq}(x,\mbox{nil}) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC169+1.p} cond\_pst\_diff\_adj1\_x\_some\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \neg\,\mbox{ssList}(x_2)\mbox{ or }\mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),\mbox{cons}(z,\mbox{nil})),x_2)\ne u\mbox{ or }\mbox{neq}(y,z) ) ) ) )\mbox{ or }( \forall x_3{:}\;( \neg\,\mbox{ssItem}(x_3)\mbox{ or }\mbox{cons}(x_3,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,x_3) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC392-1.p} cond\_subst\_x\_minimal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\neg\,\mbox{memberP}(\mbox{sk}_2,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_6,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(a,\mbox{sk}_6) ) \ \Rightarrow \ ( \mbox{sk}_6 = a\mbox{ or }\mbox{nil} = \mbox{sk}_4 )\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_6,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(a,\mbox{sk}_6) ) \ \Rightarrow \ ( \mbox{sk}_6 = a\mbox{ or }\mbox{nil} = \mbox{sk}_3 )\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

\medskip\textbf{SWC085-1.p} cond\_id\_segment\_x\_ne\_segment\_front\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC315-1.p} cond\_rot\_l\_total3\_x\_rot\_l\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{cons}(\mbox{sk}_5,\mbox{nil}),\mbox{sk}_6) = \mbox{sk}_2\mbox{ or }\mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_1 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{app}(\mbox{cons}(\mbox{sk}_5,\mbox{nil}),\mbox{sk}_6) = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_1 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{cons}(\mbox{sk}_7,\mbox{nil}),\mbox{sk}_8) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{sk}_8,\mbox{cons}(\mbox{sk}_7,\mbox{nil})) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

\medskip\textbf{SWC109+1.p} cond\_ne\_segment\_total1\_x\_pivot

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ \forall x_1{:}\;( \neg\,\mbox{ssList}(x_1)\mbox{ or }\mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\mbox{app}(\mbox{app}(z,w),x_1)\ne x\mbox{ or }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\mbox{memberP}(z,x_2)\mbox{ and }\mbox{lt}(y,x_2) )\mbox{ or }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\mbox{memberP}(x_1,x_3)\mbox{ and }\mbox{lt}(x_3,y) ) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }( \mbox{neq}(u,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,u) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC052+1.p} cond\_id\_segment\_total1\_x\_id\_front\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \forall y{:}\;( \neg\,\mbox{ssList}(y)\mbox{ or }\neg\,\mbox{neq}(y,\mbox{nil})\mbox{ or }\neg\,\mbox{frontsegP}(x,y)\mbox{ or }\neg\,\mbox{frontsegP}(w,y) )\mbox{ and }\mbox{neq}(x,\mbox{nil}) )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{neq}(z,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,z)\mbox{ and }\mbox{segmentP}(u,z) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC376-1.p} cond\_set\_eq\_x\_rot\_r\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_2,\mbox{sk}_5)\mbox{ or }\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_2,\mbox{sk}_5) \ \Rightarrow \ \neg\,\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{neq}(\mbox{sk}_4,\mbox{nil})\mbox{ and }\mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{tl}(\mbox{sk}_3) = b\mbox{ and }\mbox{app}(b,c) = a\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{cons}(d,\mbox{nil}) = c\mbox{ and }\mbox{hd}(\mbox{sk}_3) = d\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_3)\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_3) ) \ \Rightarrow \ \mbox{sk}_4 = a\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC004-1.p} cond\_filter\_ne\_segment\_x\_filter\_some

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(a,b),c) = \mbox{sk}_2\mbox{ and }\mbox{app}(a,c) = \mbox{sk}_1\mbox{ and }\mbox{neq}(b,\mbox{nil}) ) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_7) = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_6,\mbox{sk}_7) = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(a,b),c) = \mbox{sk}_2\mbox{ and }\mbox{app}(a,c) = \mbox{sk}_1\mbox{ and }\mbox{neq}(b,\mbox{nil}) ) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_7) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{sk}_6,\mbox{sk}_7) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

\medskip\textbf{SWC276+1.p} cond\_pst\_sorted1\_x\_some\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{totalorderedP}(u)\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,y) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC007+1.p} cond\_filter\_segment\_x\_initialize

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( \mbox{nil}\ne w\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(y,z),x_1) = v\mbox{ and }\mbox{app}(y,x_1) = u ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC085+1.p} cond\_id\_segment\_x\_ne\_segment\_front\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,y)\mbox{ and }\mbox{segmentP}(u,y) )\mbox{ or }( ( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w )\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\neg\,\mbox{frontsegP}(x,w) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC239+1.p} cond\_pst\_pivoted3\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = u\mbox{ and }\forall x_2{:}\;( \mbox{ssItem}(x_2) \ \Rightarrow \ ( \neg\,\mbox{memberP}(z,x_2)\mbox{ or }\neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\neg\,\mbox{lt}(y,x_2)\mbox{ or }\mbox{leq}(y,x_2) ) ) ) ) )\mbox{ or }( \forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ ( \mbox{cons}(x_3,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,x_3)\mbox{ or }\exists x_4{:}\;( \mbox{ssItem}(x_4)\mbox{ and }x_3\ne x_4\mbox{ and }\mbox{memberP}(x,x_4)\mbox{ and }\mbox{leq}(x_3,x_4) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC410-1.p} cond\_superst\_x\_rot\_r\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_2,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\neg\,\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{neq}(\mbox{sk}_4,\mbox{nil})\mbox{ and }\mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{tl}(\mbox{sk}_3) = b\mbox{ and }\mbox{app}(b,c) = a\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{cons}(d,\mbox{nil}) = c\mbox{ and }\mbox{hd}(\mbox{sk}_3) = d\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_3)\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_3) ) \ \Rightarrow \ \mbox{sk}_4 = a\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC034+1.p} cond\_id\_nil\_iff\_x\_set\_unique\_elems

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }( ( \neg\,\mbox{memberP}(w,y)\mbox{ and }\forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ \neg\,\mbox{segmentP}(x,\mbox{app}(\mbox{app}(\mbox{cons}(y,\mbox{nil}),z),\mbox{cons}(y,\mbox{nil}))) )\mbox{ and }\mbox{memberP}(x,y) )\mbox{ or }( \mbox{memberP}(w,y)\mbox{ and }( \neg\,\mbox{memberP}(x,y)\mbox{ or }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{segmentP}(x,\mbox{app}(\mbox{app}(\mbox{cons}(y,\mbox{nil}),z),\mbox{cons}(y,\mbox{nil}))) ) ) ) ) )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \mbox{nil}\ne u\mbox{ or }\mbox{nil} = v ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC181-1.p} cond\_pst\_different2\_x\_run\_strict\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_5,\mbox{sk}_3),\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(\mbox{cons}(c,\mbox{nil}),d) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(a,c)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_6\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\neg\,\mbox{duplicatefreeP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC081-1.p} cond\_id\_segment\_x\_id\_front\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_5,\mbox{nil})\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_3,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_5,\mbox{nil})\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_3,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

\medskip\textbf{SWC169-1.p} cond\_pst\_diff\_adj1\_x\_some\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_8) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_5,\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_9,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_9,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

\medskip\textbf{SWC099+1.p} cond\_ne\_segment\_front\_total1\_x\_run\_eq\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{frontsegP}(x,w)\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(w,y)\mbox{ and }\mbox{frontsegP}(x,y)\mbox{ and }\mbox{segmentP}(y,w)\mbox{ and }\mbox{equalelemsP}(y) )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }( \mbox{neq}(u,\mbox{nil})\mbox{ and }\mbox{frontsegP}(v,u) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC071-1.p} cond\_id\_segment\_total2\_x\_pivot

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{sk}_3),\mbox{sk}_7) = \mbox{sk}_4\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_6,a)\mbox{ and }\mbox{lt}(\mbox{sk}_5,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_7,a)\mbox{ and }\mbox{lt}(a,\mbox{sk}_5) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{sk}_3),\mbox{sk}_7) = \mbox{sk}_4\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_6,a)\mbox{ and }\mbox{lt}(\mbox{sk}_5,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{21},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_7,a)\mbox{ and }\mbox{lt}(a,\mbox{sk}_5) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{22},\mbox{negated\_conjecture})$

\medskip\textbf{SWC214+1.p} cond\_pst\_not\_nil\_ne\_x\_run\_strict\_ord\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\neg\,\mbox{frontsegP}(x,w)\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(w,y)\mbox{ and }\mbox{frontsegP}(x,y)\mbox{ and }\mbox{segmentP}(y,w)\mbox{ and }\mbox{strictorderedP}(y) )\mbox{ or }\mbox{neq}(u,\mbox{nil}) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC172-1.p} cond\_pst\_diff\_adj2\_x\_minimal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_8) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_5,\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_9,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(a,\mbox{sk}_9) ) \ \Rightarrow \ ( \mbox{sk}_9 = a\mbox{ or }\mbox{nil} = \mbox{sk}_4 )\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_9,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(a,\mbox{sk}_9) ) \ \Rightarrow \ ( \mbox{sk}_9 = a\mbox{ or }\mbox{nil} = \mbox{sk}_3 )\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

\medskip\textbf{SWC336+1.p} cond\_run\_ord\_x\_pivot

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ \forall x_1{:}\;( \neg\,\mbox{ssList}(x_1)\mbox{ or }\mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\mbox{app}(\mbox{app}(z,w),x_1)\ne x\mbox{ or }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\mbox{memberP}(z,x_2)\mbox{ and }\mbox{lt}(y,x_2) )\mbox{ or }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\mbox{memberP}(x_1,x_3)\mbox{ and }\mbox{lt}(x_3,y) ) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) )\mbox{ or }( \mbox{segmentP}(v,u)\mbox{ and }\mbox{totalorderedP}(u) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC176+1.p} cond\_pst\_diff\_adj2\_x\_run\_strict\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ \forall z{:}\;( \neg\,\mbox{ssList}(z)\mbox{ or }\mbox{app}(\mbox{app}(y,w),z)\ne x\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists x_1{:}\;( \mbox{ssItem}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(x_2,\mbox{cons}(x_1,\mbox{nil})) = y\mbox{ and }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\exists x_4{:}\;( \mbox{ssList}(x_4)\mbox{ and }\mbox{app}(\mbox{cons}(x_3,\mbox{nil}),x_4) = w\mbox{ and }\mbox{lt}(x_1,x_3) ) ) ) )\mbox{ or }\exists x_5{:}\;( \mbox{ssItem}(x_5)\mbox{ and }\exists x_6{:}\;( \mbox{ssList}(x_6)\mbox{ and }\mbox{app}(\mbox{cons}(x_5,\mbox{nil}),x_6) = z\mbox{ and }\exists x_7{:}\;( \mbox{ssItem}(x_7)\mbox{ and }\exists x_8{:}\;( \mbox{ssList}(x_8)\mbox{ and }\mbox{app}(x_8,\mbox{cons}(x_7,\mbox{nil})) = w\mbox{ and }\mbox{lt}(x_7,x_5) ) ) ) ) ) )\mbox{ or }\forall x_9{:}\;( \mbox{ssItem}(x_9) \ \Rightarrow \ \forall x_{10}{:}\;( \neg\,\mbox{ssItem}(x_{10})\mbox{ or }\forall x_{11}{:}\;( \mbox{ssList}(x_{11}) \ \Rightarrow \ \forall x_{12}{:}\;( \mbox{ssList}(x_{12}) \ \Rightarrow \ \mbox{app}(\mbox{app}(\mbox{app}(x_{11},\mbox{cons}(x_9,\mbox{nil})),\mbox{cons}(x_{10},\mbox{nil})),x_{12})\ne u ) )\mbox{ or }\mbox{neq}(x_9,x_{10}) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC033+1.p} cond\_id\_nil\_iff\_x\_set\_min\_elems

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }( ( \neg\,\mbox{memberP}(w,y)\mbox{ and }\forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ ( \neg\,\mbox{memberP}(x,z)\mbox{ or }\neg\,\mbox{leq}(z,y)\mbox{ or }y = z ) )\mbox{ and }\mbox{memberP}(x,y) )\mbox{ or }( \mbox{memberP}(w,y)\mbox{ and }( \neg\,\mbox{memberP}(x,y)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }y\ne z\mbox{ and }\mbox{memberP}(x,z)\mbox{ and }\mbox{leq}(z,y) ) ) ) ) )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \mbox{nil}\ne u\mbox{ or }\mbox{nil} = v ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC168-1.p} cond\_pst\_diff\_adj1\_x\_run\_strict\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_5,\mbox{sk}_3),\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(\mbox{cons}(c,\mbox{nil}),d) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(a,c)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_6\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_{10})\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_9,\mbox{cons}(\mbox{sk}_7,\mbox{nil})),\mbox{cons}(\mbox{sk}_8,\mbox{nil})),\mbox{sk}_{10}) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_7,\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

\medskip\textbf{SWC003-1.p} cond\_filter\_ne\_segment\_x\_del\_max

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(a,b),c) = \mbox{sk}_2\mbox{ and }\mbox{app}(a,c) = \mbox{sk}_1\mbox{ and }\mbox{neq}(b,\mbox{nil}) ) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_7) = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_6,\mbox{sk}_7) = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{geq}(a,\mbox{sk}_5) ) \ \Rightarrow \ ( \mbox{sk}_5 = a\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil}) )\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(a,b),c) = \mbox{sk}_2\mbox{ and }\mbox{app}(a,c) = \mbox{sk}_1\mbox{ and }\mbox{neq}(b,\mbox{nil}) ) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_7) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{sk}_6,\mbox{sk}_7) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{21},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{geq}(a,\mbox{sk}_5)\mbox{ and }\mbox{neq}(\mbox{sk}_4,\mbox{nil}) ) \ \Rightarrow \ \mbox{sk}_5 = a\qquad\mbox{cnf}(\mbox{co1}_{22},\mbox{negated\_conjecture})$

\medskip\textbf{SWC246+1.p} cond\_pst\_pivoted3\_x\_run\_eq\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = u\mbox{ and }\forall x_2{:}\;( \neg\,\mbox{ssItem}(x_2)\mbox{ or }\neg\,\mbox{memberP}(z,x_2)\mbox{ or }\neg\,\mbox{memberP}(x_1,x_2)\mbox{ or }\neg\,\mbox{lt}(y,x_2)\mbox{ or }\mbox{leq}(y,x_2) ) ) ) )\mbox{ or }\forall x_3{:}\;( \mbox{ssList}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \neg\,\mbox{ssList}(x_4)\mbox{ or }\mbox{app}(\mbox{app}(x_3,w),x_4)\ne x\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists x_5{:}\;( \mbox{ssItem}(x_5)\mbox{ and }\exists x_6{:}\;( \mbox{ssList}(x_6)\mbox{ and }\mbox{app}(x_6,\mbox{cons}(x_5,\mbox{nil})) = x_3\mbox{ and }\exists x_7{:}\;( \mbox{ssList}(x_7)\mbox{ and }\mbox{app}(\mbox{cons}(x_5,\mbox{nil}),x_7) = w ) ) )\mbox{ or }\exists x_8{:}\;( \mbox{ssItem}(x_8)\mbox{ and }\exists x_9{:}\;( \mbox{ssList}(x_9)\mbox{ and }\mbox{app}(\mbox{cons}(x_8,\mbox{nil}),x_9) = x_4\mbox{ and }\exists x_{10}{:}\;( \mbox{ssList}(x_{10})\mbox{ and }\mbox{app}(x_{10},\mbox{cons}(x_8,\mbox{nil})) = w ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC188-1.p} cond\_pst\_equal1\_x\_minimal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_8) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{sk}_5\ne \mbox{sk}_6\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_9,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(a,\mbox{sk}_9) ) \ \Rightarrow \ ( \mbox{sk}_9 = a\mbox{ or }\mbox{nil} = \mbox{sk}_4 )\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_9,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(a,\mbox{sk}_9) ) \ \Rightarrow \ ( \mbox{sk}_9 = a\mbox{ or }\mbox{nil} = \mbox{sk}_3 )\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

\medskip\textbf{SWC343+1.p} cond\_run\_strict\_ord\_front2\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ ( \mbox{app}(w,y)\ne x\mbox{ or }\neg\,\mbox{strictorderedP}(w)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\exists x_3{:}\;( \mbox{ssList}(x_3)\mbox{ and }\mbox{app}(x_3,\mbox{cons}(x_2,\mbox{nil})) = w\mbox{ and }\mbox{lt}(x_2,z) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w )\mbox{ or }( \exists x_4{:}\;( \mbox{ssList}(x_4)\mbox{ and }\mbox{app}(u,x_4) = v\mbox{ and }\forall x_5{:}\;( \mbox{ssItem}(x_5) \ \Rightarrow \ \forall x_6{:}\;( \mbox{ssList}(x_6) \ \Rightarrow \ ( \mbox{app}(\mbox{cons}(x_5,\mbox{nil}),x_6)\ne x_4\mbox{ or }\forall x_7{:}\;( \mbox{ssItem}(x_7) \ \Rightarrow \ \forall x_8{:}\;( \mbox{ssList}(x_8) \ \Rightarrow \ ( \mbox{app}(x_8,\mbox{cons}(x_7,\mbox{nil}))\ne u\mbox{ or }\neg\,\mbox{lt}(x_7,x_5) ) ) ) ) ) )\mbox{ and }\mbox{strictorderedP}(u) )\mbox{ and }( \mbox{nil}\ne u\mbox{ or }\mbox{nil} = v ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC314-1.p} cond\_rot\_l\_total3\_x\_rot\_l\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{tl}(\mbox{sk}_4) = b\mbox{ and }\mbox{app}(b,c) = a\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{cons}(d,\mbox{nil}) = c\mbox{ and }\mbox{hd}(\mbox{sk}_4) = d\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4)\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4)\mbox{ and }\mbox{neq}(\mbox{sk}_4,\mbox{nil}) ) \ \Rightarrow \ \mbox{sk}_3 = a\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{cons}(\mbox{sk}_5,\mbox{nil}),\mbox{sk}_6) = \mbox{sk}_2\mbox{ or }\mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_1 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{app}(\mbox{cons}(\mbox{sk}_5,\mbox{nil}),\mbox{sk}_6) = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_1 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

\medskip\textbf{SWC078-1.p} cond\_id\_segment\_total2\_x\_some\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC020-1.p} cond\_id\_front\_total2\_x\_ne\_segment\_front\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{frontsegP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{frontsegP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4\mbox{ or }\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC049-1.p} cond\_id\_rear\_total2\_x\_ne\_segment\_rear\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{rearsegP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{rearsegP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_3,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{rearsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

\medskip\textbf{SWC391-1.p} cond\_subst\_x\_copy

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{sk}_4 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\neg\,\mbox{memberP}(\mbox{sk}_2,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

\medskip\textbf{SWC048+1.p} cond\_id\_rear\_total1\_x\_ne\_segment\_rear\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{rearsegP}(v,y)\mbox{ and }\mbox{rearsegP}(u,y) ) ) )\mbox{ or }( ( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w )\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\neg\,\mbox{rearsegP}(x,w) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC342-1.p} cond\_run\_ord\_x\_some\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) \ \Rightarrow \ \neg\,\mbox{totalorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

\medskip\textbf{SWC165+1.p} cond\_pst\_diff\_adj1\_x\_pivot

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),\mbox{cons}(z,\mbox{nil})),x_2)\ne u\mbox{ or }\mbox{neq}(y,z) ) ) ) ) )\mbox{ or }( \forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \mbox{ssList}(x_4) \ \Rightarrow \ \forall x_5{:}\;( \mbox{ssList}(x_5) \ \Rightarrow \ ( \mbox{cons}(x_3,\mbox{nil})\ne w\mbox{ or }\mbox{app}(\mbox{app}(x_4,w),x_5)\ne x\mbox{ or }\exists x_6{:}\;( \mbox{ssItem}(x_6)\mbox{ and }\mbox{memberP}(x_4,x_6)\mbox{ and }\mbox{lt}(x_3,x_6) )\mbox{ or }\exists x_7{:}\;( \mbox{ssItem}(x_7)\mbox{ and }\mbox{memberP}(x_5,x_7)\mbox{ and }\mbox{lt}(x_7,x_3) ) ) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC302-1.p} cond\_pst\_top\_sorted\_x\_run\_ord

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{totalorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_8),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_9) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{lt}(\mbox{sk}_6,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC375-1.p} cond\_set\_eq\_x\_copy

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{sk}_4 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_2,\mbox{sk}_5)\mbox{ or }\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_2,\mbox{sk}_5) \ \Rightarrow \ \neg\,\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

\medskip\textbf{SWC145-1.p} cond\_pr\_works\_on\_pairs\_x\_head2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\neg\,\mbox{singletonP}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

\medskip\textbf{SWC061-1.p} cond\_id\_segment\_total1\_x\_rot\_l\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{cons}(\mbox{sk}_5,\mbox{nil}),\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a)\mbox{ and }\mbox{segmentP}(\mbox{sk}_1,a) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC278+1.p} cond\_pst\_sorted2\_x\_pst\_equal1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }y\ne z\mbox{ and }\mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),\mbox{cons}(z,\mbox{nil})),x_2) = w ) ) ) )\mbox{ or }\forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \mbox{ssList}(x_4) \ \Rightarrow \ \forall x_5{:}\;( \mbox{ssList}(x_5) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(x_4,\mbox{cons}(x_3,\mbox{nil})),x_5)\ne u\mbox{ or }\forall x_6{:}\;( \mbox{ssItem}(x_6) \ \Rightarrow \ ( ( \neg\,\mbox{memberP}(x_4,x_6)\mbox{ or }\mbox{leq}(x_6,x_3) )\mbox{ and }( \neg\,\mbox{memberP}(x_5,x_6)\mbox{ or }\mbox{leq}(x_3,x_6) ) ) ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC346+1.p} cond\_run\_strict\_ord\_x\_pivot

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ \forall x_1{:}\;( \neg\,\mbox{ssList}(x_1)\mbox{ or }\mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\mbox{app}(\mbox{app}(z,w),x_1)\ne x\mbox{ or }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }\mbox{memberP}(z,x_2)\mbox{ and }\mbox{lt}(y,x_2) )\mbox{ or }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\mbox{memberP}(x_1,x_3)\mbox{ and }\mbox{lt}(x_3,y) ) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) )\mbox{ or }( \mbox{segmentP}(v,u)\mbox{ and }\mbox{strictorderedP}(u) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC316-1.p} cond\_rot\_r1\_x\_rot\_r2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{cons}(\mbox{sk}_5,\mbox{nil}),\mbox{sk}_6) = \mbox{sk}_3\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_4\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{sk}_2 = a\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{tl}(\mbox{sk}_1) = b\mbox{ and }\mbox{app}(b,c) = a\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{cons}(d,\mbox{nil}) = c\mbox{ and }\mbox{hd}(\mbox{sk}_1) = d\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_1)\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_1)\mbox{ and }\mbox{neq}(\mbox{sk}_1,\mbox{nil}) ) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{cons}(\mbox{sk}_5,\mbox{nil}),\mbox{sk}_6) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{sk}_2 = a\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{tl}(\mbox{sk}_1) = b\mbox{ and }\mbox{app}(b,c) = a\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{cons}(d,\mbox{nil}) = c\mbox{ and }\mbox{hd}(\mbox{sk}_1) = d\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_1)\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_1)\mbox{ and }\mbox{neq}(\mbox{sk}_1,\mbox{nil}) ) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

\medskip\textbf{SWC200+1.p} cond\_pst\_equal3\_x\_pst\_singleton

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{singletonP}(w)\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ ( \neg\,\mbox{memberP}(u,z)\mbox{ or }y = z ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC100-1.p} cond\_ne\_segment\_front\_total1\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$( \mbox{neq}(\mbox{sk}_1,\mbox{nil})\mbox{ and }\mbox{frontsegP}(\mbox{sk}_2,\mbox{sk}_1) ) \ \Rightarrow \ \mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_1 \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$( \mbox{nil} = \mbox{sk}_1\mbox{ and }\mbox{neq}(\mbox{sk}_1,\mbox{nil}) ) \ \Rightarrow \ \neg\,\mbox{frontsegP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

\medskip\textbf{SWC241-1.p} cond\_pst\_pivoted3\_x\_pst\_pivoted1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(b,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{memberP}(c,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \mbox{lt}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{app}(\mbox{app}(b,\mbox{cons}(a,\mbox{nil})),c) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{leq}(a,\mbox{sk}_5(c,b,a))\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_8) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_7,a)\mbox{ and }\mbox{memberP}(\mbox{sk}_8,a)\mbox{ and }\mbox{leq}(\mbox{sk}_6,a) ) \ \Rightarrow \ ( \mbox{nil} = \mbox{sk}_3\mbox{ or }\mbox{leq}(a,\mbox{sk}_6) )\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

\medskip\textbf{SWC264-1.p} cond\_pst\_sorted1\_x\_pst\_strict\_sorted1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{totalorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

\medskip\textbf{SWC406+1.p} cond\_subst\_x\_set\_min\_elems

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }( ( \neg\,\mbox{memberP}(w,y)\mbox{ and }\forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ ( \neg\,\mbox{memberP}(x,z)\mbox{ or }\neg\,\mbox{leq}(z,y)\mbox{ or }y = z ) )\mbox{ and }\mbox{memberP}(x,y) )\mbox{ or }( \mbox{memberP}(w,y)\mbox{ and }( \neg\,\mbox{memberP}(x,y)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }y\ne z\mbox{ and }\mbox{memberP}(x,z)\mbox{ and }\mbox{leq}(z,y) ) ) ) ) )\mbox{ or }\forall x_1{:}\;( \mbox{ssItem}(x_1) \ \Rightarrow \ ( \neg\,\mbox{memberP}(u,x_1)\mbox{ or }\mbox{memberP}(v,x_1) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC265+1.p} cond\_pst\_sorted1\_x\_pst\_strict\_sorted2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1) = w\mbox{ and }\exists x_2{:}\;( \mbox{ssItem}(x_2)\mbox{ and }( ( \neg\,\mbox{lt}(y,x_2)\mbox{ and }\mbox{memberP}(x_1,x_2) )\mbox{ or }( \neg\,\mbox{lt}(x_2,y)\mbox{ and }\mbox{memberP}(z,x_2) ) ) ) ) ) )\mbox{ or }\mbox{totalorderedP}(u) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC154-1.p} cond\_pst\_cyc\_sorted\_x\_pst\_equal1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssItem}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(\mbox{app}(\mbox{app}(c,\mbox{cons}(a,\mbox{nil})),\mbox{cons}(b,\mbox{nil})),d) = \mbox{sk}_3 ) \ \Rightarrow \ a = b\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_9)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_8),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_9) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_6,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_5,\mbox{sk}_6) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_{10})\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{leq}(\mbox{sk}_5,\mbox{sk}_6) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_8,\mbox{sk}_{10})\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$( \mbox{leq}(\mbox{sk}_5,\mbox{sk}_{10})\mbox{ and }\mbox{leq}(\mbox{sk}_{10},\mbox{sk}_6) ) \ \Rightarrow \ \neg\,\mbox{leq}(\mbox{sk}_5,\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

\medskip\textbf{SWC145+1.p} cond\_pr\_works\_on\_pairs\_x\_head2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\mbox{neq}(x,\mbox{nil})\mbox{ or }\mbox{singletonP}(v) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC395-1.p} cond\_subst\_x\_rot\_l\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_1,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\neg\,\mbox{memberP}(\mbox{sk}_2,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{ssList}(c)\mbox{ and }\mbox{tl}(\mbox{sk}_4) = b\mbox{ and }\mbox{app}(b,c) = a\mbox{ and }\mbox{ssItem}(d)\mbox{ and }\mbox{cons}(d,\mbox{nil}) = c\mbox{ and }\mbox{hd}(\mbox{sk}_4) = d\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4)\mbox{ and }\mbox{neq}(\mbox{nil},\mbox{sk}_4)\mbox{ and }\mbox{neq}(\mbox{sk}_4,\mbox{nil}) ) \ \Rightarrow \ \mbox{sk}_3 = a\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

\medskip\textbf{SWC332+1.p} cond\_run\_eq\_x\_some\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{segmentP}(x,w)\mbox{ or }( \neg\,\mbox{singletonP}(w)\mbox{ and }\mbox{neq}(x,\mbox{nil}) )\mbox{ or }( \mbox{segmentP}(v,u)\mbox{ and }\mbox{equalelemsP}(u) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC044+1.p} cond\_id\_nil\_x\_segment\_rear

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( \mbox{nil}\ne v\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{rearsegP}(x,w)\mbox{ or }\mbox{nil} = u ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC171+1.p} cond\_pst\_diff\_adj2\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \neg\,\mbox{ssList}(x)\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \neg\,\mbox{ssItem}(z)\mbox{ or }\forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ \mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),\mbox{cons}(z,\mbox{nil})),x_2)\ne u ) )\mbox{ or }\mbox{neq}(y,z) ) )\mbox{ or }( \forall x_3{:}\;( \neg\,\mbox{ssItem}(x_3)\mbox{ or }\mbox{cons}(x_3,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,x_3)\mbox{ or }\exists x_4{:}\;( \mbox{ssItem}(x_4)\mbox{ and }x_3\ne x_4\mbox{ and }\mbox{memberP}(x,x_4)\mbox{ and }\mbox{leq}(x_3,x_4) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC244+1.p} cond\_pst\_pivoted3\_x\_run\_eq\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{frontsegP}(x,w)\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\mbox{nil} = u\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(w,y)\mbox{ and }\mbox{frontsegP}(x,y)\mbox{ and }\mbox{segmentP}(y,w)\mbox{ and }\mbox{equalelemsP}(y) )\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(\mbox{app}(x_1,\mbox{cons}(z,\mbox{nil})),x_2) = u\mbox{ and }\forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ ( \neg\,\mbox{memberP}(x_1,x_3)\mbox{ or }\neg\,\mbox{memberP}(x_2,x_3)\mbox{ or }\neg\,\mbox{lt}(z,x_3)\mbox{ or }\mbox{leq}(z,x_3) ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC077-1.p} cond\_id\_segment\_total2\_x\_run\_strict\_ord\_front1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{frontsegP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(\mbox{sk}_3,a)\mbox{ and }\mbox{frontsegP}(\mbox{sk}_4,a)\mbox{ and }\mbox{segmentP}(a,\mbox{sk}_3) ) \ \Rightarrow \ \neg\,\mbox{strictorderedP}(a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

\medskip\textbf{SWC212+1.p} cond\_pst\_not\_nil\_ne\_x\_rot\_r\_total3

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }\mbox{app}(\mbox{cons}(y,\mbox{nil}),z)\ne w\mbox{ and }\mbox{app}(z,\mbox{cons}(y,\mbox{nil})) = x ) )\mbox{ or }\mbox{neq}(u,\mbox{nil})\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC194+1.p} cond\_pst\_equal2\_x\_pst\_equal1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }y\ne z\mbox{ and }\mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),\mbox{cons}(z,\mbox{nil})),x_2) = w ) ) ) )\mbox{ or }\forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \mbox{ssItem}(x_4) \ \Rightarrow \ \forall x_5{:}\;( \mbox{ssList}(x_5) \ \Rightarrow \ \forall x_6{:}\;( \mbox{ssList}(x_6) \ \Rightarrow \ \forall x_7{:}\;( \mbox{ssList}(x_7) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(\mbox{app}(\mbox{app}(x_5,\mbox{cons}(x_3,\mbox{nil})),x_7),\mbox{cons}(x_4,\mbox{nil})),x_6)\ne u\mbox{ or }x_3 = x_4 ) ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC274-1.p} cond\_pst\_sorted1\_x\_run\_strict\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_5,\mbox{sk}_3),\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(\mbox{cons}(c,\mbox{nil}),d) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(a,c)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_6\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\neg\,\mbox{totalorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC069-1.p} cond\_id\_segment\_total2\_x\_id\_segment\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssList}(a)\mbox{ and }\mbox{neq}(a,\mbox{nil})\mbox{ and }\mbox{segmentP}(\mbox{sk}_2,a) ) \ \Rightarrow \ \neg\,\mbox{segmentP}(\mbox{sk}_1,a)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_5,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{segmentP}(\mbox{sk}_3,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

\medskip\textbf{SWC280+1.p} cond\_pst\_sorted2\_x\_run\_eq\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ ( \mbox{app}(w,y)\ne x\mbox{ or }\neg\,\mbox{equalelemsP}(w)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\mbox{app}(\mbox{cons}(z,\mbox{nil}),x_1) = y\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{app}(x_2,\mbox{cons}(z,\mbox{nil})) = w ) ) ) ) )\mbox{ or }\forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \mbox{ssList}(x_4) \ \Rightarrow \ \forall x_5{:}\;( \mbox{ssList}(x_5) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(x_4,\mbox{cons}(x_3,\mbox{nil})),x_5)\ne u\mbox{ or }\forall x_6{:}\;( \mbox{ssItem}(x_6) \ \Rightarrow \ ( ( \neg\,\mbox{memberP}(x_4,x_6)\mbox{ or }\mbox{leq}(x_6,x_3) )\mbox{ and }( \neg\,\mbox{memberP}(x_5,x_6)\mbox{ or }\mbox{leq}(x_3,x_6) ) ) ) ) ) ) )\mbox{ or }( \mbox{nil}\ne x\mbox{ and }\mbox{nil} = w ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC030+1.p} cond\_id\_nil\_iff\_x\_rotate

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssList}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ ( \mbox{app}(y,z)\ne x\mbox{ or }\mbox{app}(z,y)\ne w ) ) )\mbox{ or }( ( \mbox{nil}\ne v\mbox{ or }\mbox{nil} = u )\mbox{ and }( \mbox{nil}\ne u\mbox{ or }\mbox{nil} = v ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC189+1.p} cond\_pst\_equal1\_x\_pst\_equal1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\exists y{:}\;( \mbox{ssItem}(y)\mbox{ and }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }y\ne z\mbox{ and }\mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),\mbox{cons}(z,\mbox{nil})),x_2) = w ) ) ) )\mbox{ or }\forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ \forall x_4{:}\;( \mbox{ssItem}(x_4) \ \Rightarrow \ \forall x_5{:}\;( \mbox{ssList}(x_5) \ \Rightarrow \ \forall x_6{:}\;( \mbox{ssList}(x_6) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(\mbox{app}(x_5,\mbox{cons}(x_3,\mbox{nil})),\mbox{cons}(x_4,\mbox{nil})),x_6)\ne u\mbox{ or }x_3 = x_4 ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC188+1.p} cond\_pst\_equal1\_x\_minimal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssItem}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ \forall x_2{:}\;( \mbox{ssList}(x_2) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(\mbox{app}(x_1,\mbox{cons}(y,\mbox{nil})),\mbox{cons}(z,\mbox{nil})),x_2)\ne u\mbox{ or }y = z ) ) ) ) )\mbox{ or }( \forall x_3{:}\;( \mbox{ssItem}(x_3) \ \Rightarrow \ ( \mbox{cons}(x_3,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,x_3)\mbox{ or }\exists x_4{:}\;( \mbox{ssItem}(x_4)\mbox{ and }x_3\ne x_4\mbox{ and }\mbox{memberP}(x,x_4)\mbox{ and }\mbox{leq}(x_4,x_3) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC133-1.p} cond\_pr\_works\_on\_cycles\_x\_rot\_r2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{cyclefreeP}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

\medskip\textbf{SWC387-1.p} cond\_some\_total2\_x\_some\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{cons}(a,\mbox{nil}) = \mbox{sk}_1 ) \ \Rightarrow \ \neg\,\mbox{memberP}(\mbox{sk}_2,a)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_4 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2 \ \Rightarrow \ \mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{cons}(\mbox{sk}_5,\mbox{nil}) = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_4,\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC353-1.p} cond\_segment\_front\_x\_run\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{totalorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{leq}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\neg\,\mbox{frontsegP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip\textbf{SWC335+1.p} cond\_run\_ord\_x\_minimal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }( \forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \mbox{cons}(y,\mbox{nil})\ne w\mbox{ or }\neg\,\mbox{memberP}(x,y)\mbox{ or }\exists z{:}\;( \mbox{ssItem}(z)\mbox{ and }y\ne z\mbox{ and }\mbox{memberP}(x,z)\mbox{ and }\mbox{leq}(z,y) ) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) )\mbox{ or }( \mbox{segmentP}(v,u)\mbox{ and }\mbox{totalorderedP}(u) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC295-1.p} cond\_pst\_strict\_sorted2\_x\_maximal

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_6,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{sk}_7) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_6,\mbox{sk}_8)\mbox{ or }\mbox{memberP}(\mbox{sk}_7,\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{lt}(\mbox{sk}_5,\mbox{sk}_8) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_6,\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{lt}(\mbox{sk}_8,\mbox{sk}_5) \ \Rightarrow \ \mbox{memberP}(\mbox{sk}_7,\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{lt}(\mbox{sk}_8,\mbox{sk}_5) \ \Rightarrow \ \neg\,\mbox{lt}(\mbox{sk}_5,\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_9,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{19},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_9,a) ) \ \Rightarrow \ ( \mbox{sk}_9 = a\mbox{ or }\mbox{nil} = \mbox{sk}_4 )\qquad\mbox{cnf}(\mbox{co1}_{20},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_9,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{21},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{22},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{memberP}(\mbox{sk}_4,a)\mbox{ and }\mbox{leq}(\mbox{sk}_9,a) ) \ \Rightarrow \ ( \mbox{sk}_9 = a\mbox{ or }\mbox{nil} = \mbox{sk}_3 )\qquad\mbox{cnf}(\mbox{co1}_{23},\mbox{negated\_conjecture})$

\medskip\textbf{SWC102-1.p} cond\_ne\_segment\_front\_x\_copy

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{sk}_4 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_1,\mbox{nil}) \ \Rightarrow \ \neg\,\mbox{frontsegP}(\mbox{sk}_2,\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

\medskip\textbf{SWC081+1.p} cond\_id\_segment\_x\_id\_front\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\neg\,\mbox{neq}(v,\mbox{nil})\mbox{ or }\exists y{:}\;( \mbox{ssList}(y)\mbox{ and }\mbox{neq}(y,\mbox{nil})\mbox{ and }\mbox{segmentP}(v,y)\mbox{ and }\mbox{segmentP}(u,y) )\mbox{ or }( \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ ( \neg\,\mbox{neq}(z,\mbox{nil})\mbox{ or }\neg\,\mbox{frontsegP}(x,z)\mbox{ or }\neg\,\mbox{frontsegP}(w,z) ) )\mbox{ and }( \mbox{nil}\ne x\mbox{ or }\mbox{nil}\ne w ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC339-1.p} cond\_run\_ord\_x\_run\_ord\_max2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{sk}_5,\mbox{sk}_3),\mbox{sk}_6) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{totalorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(b,\mbox{cons}(a,\mbox{nil})) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(\mbox{cons}(c,\mbox{nil}),d) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{leq}(a,c)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_6\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{leq}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) \ \Rightarrow \ \neg\,\mbox{totalorderedP}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

\medskip\textbf{SWC043-1.p} cond\_id\_nil\_x\_run\_strict\_ord\_front2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_2\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{nil}\ne \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{sk}_3,\mbox{sk}_5) = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{strictorderedP}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$( \mbox{ssItem}(a)\mbox{ and }\mbox{ssList}(b)\mbox{ and }\mbox{app}(\mbox{cons}(a,\mbox{nil}),b) = \mbox{sk}_5\mbox{ and }\mbox{ssItem}(c)\mbox{ and }\mbox{ssList}(d)\mbox{ and }\mbox{app}(d,\mbox{cons}(c,\mbox{nil})) = \mbox{sk}_3 ) \ \Rightarrow \ \neg\,\mbox{lt}(c,a)\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{nil} = \mbox{sk}_3 \ \Rightarrow \ \mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

\medskip\textbf{SWC192-1.p} cond\_pst\_equal1\_x\_some\_total2

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_5)\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_6)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_7)\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_8)\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{app}(\mbox{app}(\mbox{app}(\mbox{sk}_7,\mbox{cons}(\mbox{sk}_5,\mbox{nil})),\mbox{cons}(\mbox{sk}_6,\mbox{nil})),\mbox{sk}_8) = \mbox{sk}_1\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{sk}_5\ne \mbox{sk}_6\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{13},\mbox{negated\_conjecture})$

$\mbox{ssItem}(\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{14},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_9,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{15},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_{16},\mbox{negated\_conjecture})$

$\mbox{cons}(\mbox{sk}_9,\mbox{nil}) = \mbox{sk}_3\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{17},\mbox{negated\_conjecture})$

$\mbox{memberP}(\mbox{sk}_4,\mbox{sk}_9)\mbox{ or }\mbox{nil} = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_{18},\mbox{negated\_conjecture})$

\medskip\textbf{SWC396+1.p} cond\_subst\_x\_rot\_r\_total1

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ ( \neg\,\mbox{memberP}(u,y)\mbox{ or }\mbox{memberP}(v,y) ) )\mbox{ or }( \mbox{nil}\ne w\mbox{ and }\mbox{nil} = x )\mbox{ or }( \mbox{neq}(x,\mbox{nil})\mbox{ and }( \neg\,\mbox{neq}(w,\mbox{nil})\mbox{ or }\exists z{:}\;( \mbox{ssList}(z)\mbox{ and }x\ne z\mbox{ and }\exists x_1{:}\;( \mbox{ssList}(x_1)\mbox{ and }\exists x_2{:}\;( \mbox{ssList}(x_2)\mbox{ and }\mbox{tl}(w) = x_1\mbox{ and }\mbox{app}(x_1,x_2) = z\mbox{ and }\exists x_3{:}\;( \mbox{ssItem}(x_3)\mbox{ and }\mbox{cons}(x_3,\mbox{nil}) = x_2\mbox{ and }\mbox{hd}(w) = x_3\mbox{ and }\mbox{neq}(\mbox{nil},w) )\mbox{ and }\mbox{neq}(\mbox{nil},w) ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC182+1.p} cond\_pst\_different3\_x\_initialize

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001+0.ax'})$

$\forall u{:}\;( \mbox{ssList}(u) \ \Rightarrow \ \forall v{:}\;( \mbox{ssList}(v) \ \Rightarrow \ \forall w{:}\;( \mbox{ssList}(w) \ \Rightarrow \ \forall x{:}\;( \mbox{ssList}(x) \ \Rightarrow \ ( \mbox{nil}\ne w\mbox{ or }v\ne x\mbox{ or }u\ne w\mbox{ or }\forall y{:}\;( \mbox{ssItem}(y) \ \Rightarrow \ \forall z{:}\;( \mbox{ssList}(z) \ \Rightarrow \ \forall x_1{:}\;( \mbox{ssList}(x_1) \ \Rightarrow \ ( \mbox{app}(\mbox{app}(z,\mbox{cons}(y,\mbox{nil})),x_1)\ne u\mbox{ or }( \neg\,\mbox{memberP}(z,y)\mbox{ and }\neg\,\mbox{memberP}(x_1,y) ) ) ) ) ) ) ) ) ) )\qquad\mbox{fof}(\mbox{co}_1,\mbox{conjecture})$

\medskip\textbf{SWC134-1.p} cond\_pr\_works\_on\_cycles\_x\_segment\_rear\_ne

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\neg\,\mbox{cyclefreeP}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

\medskip\textbf{SWC362-1.p} cond\_segment\_ne\_x\_segment\_ne

Find components in a software library that match a given target
 specification given in first-order logic. The components are
 specified in first-order logic as well. The problem represents
 a test of one library module specification against a target
 specification.




$\mbox{include}(\mbox{'Axioms/SWC001-0.ax'})$

$\mbox{ssList}(\mbox{sk}_1)\qquad\mbox{cnf}(\mbox{co1}_1,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_2)\qquad\mbox{cnf}(\mbox{co1}_2,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_3,\mbox{negated\_conjecture})$

$\mbox{ssList}(\mbox{sk}_4)\qquad\mbox{cnf}(\mbox{co1}_4,\mbox{negated\_conjecture})$

$\mbox{sk}_2 = \mbox{sk}_4\qquad\mbox{cnf}(\mbox{co1}_5,\mbox{negated\_conjecture})$

$\mbox{sk}_1 = \mbox{sk}_3\qquad\mbox{cnf}(\mbox{co1}_6,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_2,\mbox{nil})\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_7,\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_8,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\mbox{ or }\mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_9,\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) \ \Rightarrow \ \mbox{neq}(\mbox{sk}_2,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{10},\mbox{negated\_conjecture})$

$\mbox{neq}(\mbox{sk}_4,\mbox{nil}) \ \Rightarrow \ \mbox{segmentP}(\mbox{sk}_4,\mbox{sk}_3)\qquad\mbox{cnf}(\mbox{co1}_{11},\mbox{negated\_conjecture})$

$\mbox{segmentP}(\mbox{sk}_2,\mbox{sk}_1) \ \Rightarrow \ \neg\,\mbox{neq}(\mbox{sk}_4,\mbox{nil})\qquad\mbox{cnf}(\mbox{co1}_{12},\mbox{negated\_conjecture})$

\medskip
\end{document}