TSTP Solution File: SWC120-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC120-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:44:35 EDT 2024
% Result : Unsatisfiable 24.84s 3.52s
% Output : CNFRefutation 25.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC120-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 23:51:50 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 24.84/3.52 % Refutation found
% 24.84/3.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 24.84/3.52 % SZS output start CNFRefutation for theBenchmark
% 24.84/3.52 fof(f8,axiom,(
% 24.84/3.52 ssList(nil) ),
% 24.84/3.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 24.84/3.52 fof(f9,axiom,(
% 24.84/3.52 ssItem(skac3) ),
% 24.84/3.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 24.84/3.52 fof(f18,axiom,(
% 24.84/3.52 (![U]: (ssList(skaf77(U)) ))),
% 24.84/3.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 24.84/3.52 fof(f48,axiom,(
% 24.84/3.52 (![U,V]: (ssList(skaf48(U,V)) ))),
% 24.84/3.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 24.84/3.52 fof(f72,axiom,(
% 24.84/3.52 (![U,V]: (( ~ ssList(U)| duplicatefreeP(U)| ssItem(V) ) ))),
% 24.84/3.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 24.84/3.52 fof(f73,axiom,(
% 24.84/3.52 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 24.84/3.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 24.84/3.52 fof(f74,axiom,(
% 24.84/3.52 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 24.84/3.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 24.84/3.52 fof(f75,axiom,(
% 24.84/3.52 (![U]: (( ~ ssList(U)| ssList(tl(U))| nil = U ) ))),
% 24.84/3.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 24.84/3.52 fof(f85,axiom,(
% 24.84/3.52 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 24.84/3.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 24.84/3.52 fof(f86,axiom,(
% 24.84/3.52 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 24.84/3.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 24.84/3.52 fof(f99,axiom,(
% 24.84/3.52 (![U,V]: (( cons(U,V) != V| ~ ssItem(U)| ~ ssList(V) ) ))),
% 24.84/3.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 24.84/3.52 fof(f100,axiom,(
% 24.84/3.52 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 24.84/3.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 24.84/3.52 fof(f102,axiom,(
% 24.84/3.52 (![U,V]: (( ~ ssItem(U)| ~ ssItem(V)| neq(V,U)| V = U ) ))),
% 24.84/3.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 24.84/3.52 fof(f104,axiom,(
% 24.84/3.52 (![U]: (( ~ ssList(U)| cons(hd(U),tl(U)) = U| nil = U ) ))),
% 24.84/3.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 24.84/3.52 fof(f115,axiom,(
% 24.84/3.52 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssList(V)| ~ ssList(U) ) ))),
% 24.84/3.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 24.84/3.52 fof(f173,axiom,(
% 24.84/3.52 (![U,V,W,X]: (( app(app(U,V),W) != X| ~ ssList(W)| ~ ssList(U)| ~ ssList(V)| ~ ssList(X)| segmentP(X,V) ) ))),
% 24.84/3.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 24.84/3.52 fof(f179,axiom,(
% 24.84/3.52 (![U,V,W,X,Y]: (( app(app(U,cons(V,W)),cons(V,X)) != Y| ~ ssList(X)| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| ~ duplicatefreeP(Y)| ~ ssList(Y) ) ))),
% 24.84/3.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 24.84/3.52 fof(f186,negated_conjecture,(
% 24.84/3.52 ssList(sk1) ),
% 24.84/3.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 24.84/3.52 fof(f187,negated_conjecture,(
% 24.84/3.52 ssList(sk2) ),
% 24.84/3.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 24.84/3.52 fof(f190,negated_conjecture,(
% 24.84/3.52 sk2 = sk4 ),
% 24.84/3.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 24.84/3.52 fof(f191,negated_conjecture,(
% 24.84/3.52 sk1 = sk3 ),
% 24.84/3.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 24.84/3.52 fof(f192,negated_conjecture,(
% 24.84/3.52 ( neq(sk2,nil)| neq(sk2,nil) ) ),
% 24.84/3.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 24.84/3.52 fof(f196,negated_conjecture,(
% 24.84/3.52 (![A,B]: (( ~ ssList(A)| sk4 = A| ~ ssList(B)| tl(sk4) != B| app(sk3,B) != A| ~ neq(nil,sk4)| ~ neq(sk4,nil) ) ))),
% 24.84/3.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 24.84/3.52 fof(f197,negated_conjecture,(
% 24.84/3.52 ( ~ neq(sk1,nil)| ~ segmentP(sk2,sk1)| ~ neq(sk4,nil) ) ),
% 24.84/3.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 24.84/3.52 fof(f205,plain,(
% 24.84/3.52 ssList(nil)),
% 24.84/3.52 inference(cnf_transformation,[status(esa)],[f8])).
% 24.84/3.52 fof(f206,plain,(
% 24.84/3.52 ssItem(skac3)),
% 24.84/3.52 inference(cnf_transformation,[status(esa)],[f9])).
% 24.84/3.52 fof(f215,plain,(
% 24.84/3.52 ![X0]: (ssList(skaf77(X0)))),
% 24.84/3.52 inference(cnf_transformation,[status(esa)],[f18])).
% 24.84/3.52 fof(f245,plain,(
% 24.84/3.52 ![X0,X1]: (ssList(skaf48(X0,X1)))),
% 24.84/3.52 inference(cnf_transformation,[status(esa)],[f48])).
% 24.84/3.52 fof(f269,plain,(
% 24.84/3.52 (![U]: (~ssList(U)|duplicatefreeP(U)))|(![V]: ssItem(V))),
% 24.84/3.52 inference(miniscoping,[status(esa)],[f72])).
% 24.84/3.52 fof(f270,plain,(
% 24.84/3.52 ![X0,X1]: (~ssList(X0)|duplicatefreeP(X0)|ssItem(X1))),
% 24.84/3.52 inference(cnf_transformation,[status(esa)],[f269])).
% 24.84/3.52 fof(f271,plain,(
% 24.84/3.52 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 24.84/3.52 inference(cnf_transformation,[status(esa)],[f73])).
% 24.84/3.52 fof(f272,plain,(
% 24.84/3.52 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 24.84/3.52 inference(cnf_transformation,[status(esa)],[f74])).
% 24.84/3.52 fof(f273,plain,(
% 24.84/3.52 ![X0]: (~ssList(X0)|ssList(tl(X0))|nil=X0)),
% 24.84/3.52 inference(cnf_transformation,[status(esa)],[f75])).
% 24.84/3.52 fof(f283,plain,(
% 24.84/3.52 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 24.84/3.52 inference(cnf_transformation,[status(esa)],[f85])).
% 24.84/3.52 fof(f284,plain,(
% 24.84/3.52 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 24.84/3.52 inference(cnf_transformation,[status(esa)],[f86])).
% 24.84/3.52 fof(f298,plain,(
% 24.84/3.52 ![V]: ((![U]: (~cons(U,V)=V|~ssItem(U)))|~ssList(V))),
% 24.84/3.52 inference(miniscoping,[status(esa)],[f99])).
% 24.84/3.52 fof(f299,plain,(
% 24.84/3.52 ![X0,X1]: (~cons(X0,X1)=X1|~ssItem(X0)|~ssList(X1))),
% 24.84/3.52 inference(cnf_transformation,[status(esa)],[f298])).
% 24.84/3.52 fof(f300,plain,(
% 24.84/3.52 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 24.84/3.52 inference(cnf_transformation,[status(esa)],[f100])).
% 24.84/3.52 fof(f302,plain,(
% 24.84/3.52 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|neq(X1,X0)|X1=X0)),
% 24.84/3.52 inference(cnf_transformation,[status(esa)],[f102])).
% 24.84/3.52 fof(f304,plain,(
% 24.84/3.52 ![X0]: (~ssList(X0)|cons(hd(X0),tl(X0))=X0|nil=X0)),
% 24.84/3.52 inference(cnf_transformation,[status(esa)],[f104])).
% 24.84/3.52 fof(f318,plain,(
% 24.84/3.52 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssList(V)))|~ssList(U))),
% 24.84/3.52 inference(miniscoping,[status(esa)],[f115])).
% 24.84/3.52 fof(f319,plain,(
% 24.84/3.52 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssList(X1)|~ssList(X0))),
% 24.84/3.52 inference(cnf_transformation,[status(esa)],[f318])).
% 24.84/3.52 fof(f403,plain,(
% 24.84/3.52 ![V,X]: ((((![U]: ((![W]: (~app(app(U,V),W)=X|~ssList(W)))|~ssList(U)))|~ssList(V))|~ssList(X))|segmentP(X,V))),
% 24.84/3.52 inference(miniscoping,[status(esa)],[f173])).
% 24.84/3.52 fof(f404,plain,(
% 24.84/3.52 ![X0,X1,X2,X3]: (~app(app(X0,X1),X2)=X3|~ssList(X2)|~ssList(X0)|~ssList(X1)|~ssList(X3)|segmentP(X3,X1))),
% 24.84/3.52 inference(cnf_transformation,[status(esa)],[f403])).
% 24.84/3.52 fof(f414,plain,(
% 24.84/3.52 ![Y]: (((![V]: ((![U]: ((![W]: ((![X]: (~app(app(U,cons(V,W)),cons(V,X))=Y|~ssList(X)))|~ssList(W)))|~ssList(U)))|~ssItem(V)))|~duplicatefreeP(Y))|~ssList(Y))),
% 24.84/3.52 inference(miniscoping,[status(esa)],[f179])).
% 24.84/3.52 fof(f415,plain,(
% 24.84/3.52 ![X0,X1,X2,X3,X4]: (~app(app(X0,cons(X1,X2)),cons(X1,X3))=X4|~ssList(X3)|~ssList(X2)|~ssList(X0)|~ssItem(X1)|~duplicatefreeP(X4)|~ssList(X4))),
% 24.84/3.52 inference(cnf_transformation,[status(esa)],[f414])).
% 24.84/3.52 fof(f428,plain,(
% 24.84/3.52 ssList(sk1)),
% 24.84/3.52 inference(cnf_transformation,[status(esa)],[f186])).
% 24.84/3.52 fof(f429,plain,(
% 24.84/3.52 ssList(sk2)),
% 24.84/3.52 inference(cnf_transformation,[status(esa)],[f187])).
% 24.84/3.52 fof(f432,plain,(
% 24.84/3.52 sk2=sk4),
% 24.84/3.52 inference(cnf_transformation,[status(esa)],[f190])).
% 24.84/3.52 fof(f433,plain,(
% 24.84/3.52 sk1=sk3),
% 24.84/3.52 inference(cnf_transformation,[status(esa)],[f191])).
% 24.84/3.52 fof(f434,plain,(
% 24.84/3.52 neq(sk2,nil)|neq(sk2,nil)),
% 24.84/3.52 inference(cnf_transformation,[status(esa)],[f192])).
% 24.84/3.52 fof(f439,plain,(
% 24.84/3.52 ((![A,B]: ((((~ssList(A)|sk4=A)|~ssList(B))|~tl(sk4)=B)|~app(sk3,B)=A))|~neq(nil,sk4))|~neq(sk4,nil)),
% 24.84/3.52 inference(miniscoping,[status(esa)],[f196])).
% 24.84/3.52 fof(f440,plain,(
% 24.84/3.52 ![X0,X1]: (~ssList(X0)|sk4=X0|~ssList(X1)|~tl(sk4)=X1|~app(sk3,X1)=X0|~neq(nil,sk4)|~neq(sk4,nil))),
% 24.84/3.52 inference(cnf_transformation,[status(esa)],[f439])).
% 24.84/3.52 fof(f441,plain,(
% 24.84/3.52 ~neq(sk1,nil)|~segmentP(sk2,sk1)|~neq(sk4,nil)),
% 24.84/3.52 inference(cnf_transformation,[status(esa)],[f197])).
% 24.84/3.52 fof(f442,plain,(
% 24.84/3.52 spl0_0 <=> ~ssList(X0)|duplicatefreeP(X0)),
% 24.84/3.52 introduced(split_symbol_definition)).
% 24.84/3.52 fof(f443,plain,(
% 24.84/3.52 ![X0]: (~ssList(X0)|duplicatefreeP(X0)|~spl0_0)),
% 24.84/3.52 inference(component_clause,[status(thm)],[f442])).
% 24.84/3.52 fof(f445,plain,(
% 24.84/3.52 spl0_1 <=> ssItem(X1)),
% 24.84/3.52 introduced(split_symbol_definition)).
% 24.84/3.52 fof(f446,plain,(
% 24.84/3.52 ![X0]: (ssItem(X0)|~spl0_1)),
% 24.84/3.52 inference(component_clause,[status(thm)],[f445])).
% 24.84/3.52 fof(f448,plain,(
% 24.84/3.52 spl0_0|spl0_1),
% 24.84/3.52 inference(split_clause,[status(thm)],[f270,f442,f445])).
% 24.84/3.52 fof(f449,plain,(
% 24.84/3.52 spl0_2 <=> neq(sk2,nil)),
% 24.84/3.52 introduced(split_symbol_definition)).
% 24.84/3.52 fof(f450,plain,(
% 24.84/3.52 neq(sk2,nil)|~spl0_2),
% 24.84/3.52 inference(component_clause,[status(thm)],[f449])).
% 24.84/3.52 fof(f452,plain,(
% 24.84/3.52 spl0_2),
% 24.84/3.52 inference(split_clause,[status(thm)],[f434,f449])).
% 24.84/3.52 fof(f453,plain,(
% 24.84/3.52 spl0_3 <=> neq(sk4,nil)),
% 24.84/3.52 introduced(split_symbol_definition)).
% 24.84/3.52 fof(f455,plain,(
% 24.84/3.52 ~neq(sk4,nil)|spl0_3),
% 24.84/3.52 inference(component_clause,[status(thm)],[f453])).
% 24.84/3.52 fof(f457,plain,(
% 24.84/3.52 spl0_4 <=> ~ssList(X0)|sk4=X0|~ssList(X1)|~tl(sk4)=X1|~app(sk3,X1)=X0),
% 24.84/3.52 introduced(split_symbol_definition)).
% 24.84/3.52 fof(f458,plain,(
% 24.84/3.52 ![X0,X1]: (~ssList(X0)|sk4=X0|~ssList(X1)|~tl(sk4)=X1|~app(sk3,X1)=X0|~spl0_4)),
% 24.84/3.52 inference(component_clause,[status(thm)],[f457])).
% 24.84/3.52 fof(f460,plain,(
% 24.84/3.52 spl0_5 <=> neq(nil,sk4)),
% 24.84/3.52 introduced(split_symbol_definition)).
% 24.84/3.52 fof(f462,plain,(
% 24.84/3.52 ~neq(nil,sk4)|spl0_5),
% 24.84/3.52 inference(component_clause,[status(thm)],[f460])).
% 24.84/3.52 fof(f464,plain,(
% 24.84/3.52 spl0_6 <=> neq(sk1,nil)),
% 24.84/3.52 introduced(split_symbol_definition)).
% 24.84/3.52 fof(f466,plain,(
% 24.84/3.52 ~neq(sk1,nil)|spl0_6),
% 24.84/3.52 inference(component_clause,[status(thm)],[f464])).
% 24.84/3.52 fof(f467,plain,(
% 24.84/3.52 spl0_7 <=> segmentP(sk2,sk1)),
% 24.84/3.52 introduced(split_symbol_definition)).
% 24.84/3.52 fof(f471,plain,(
% 24.84/3.52 spl0_4|~spl0_5|~spl0_3),
% 24.84/3.52 inference(split_clause,[status(thm)],[f440,f457,f460,f453])).
% 24.84/3.52 fof(f472,plain,(
% 24.84/3.52 ~spl0_6|~spl0_7|~spl0_3),
% 24.84/3.52 inference(split_clause,[status(thm)],[f441,f464,f467,f453])).
% 24.84/3.52 fof(f480,plain,(
% 24.84/3.52 ![X1]: (~neq(X1,X1)|~ssList(X1)|~ssList(X1))),
% 24.84/3.52 inference(destructive_equality_resolution,[status(esa)],[f319])).
% 24.84/3.52 fof(f481,plain,(
% 24.84/3.52 ![X0]: (~neq(X0,X0)|~ssList(X0))),
% 24.84/3.52 inference(duplicate_literals_removal,[status(esa)],[f480])).
% 24.84/3.52 fof(f493,plain,(
% 24.84/3.52 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X0))|segmentP(app(app(X1,X2),X0),X2))),
% 24.84/3.52 inference(destructive_equality_resolution,[status(esa)],[f404])).
% 24.84/3.52 fof(f497,plain,(
% 24.84/3.52 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssItem(X3)|~duplicatefreeP(app(app(X2,cons(X3,X1)),cons(X3,X0)))|~ssList(app(app(X2,cons(X3,X1)),cons(X3,X0))))),
% 24.84/3.52 inference(destructive_equality_resolution,[status(esa)],[f415])).
% 24.84/3.52 fof(f504,plain,(
% 24.84/3.52 ~neq(sk2,nil)|spl0_3),
% 24.84/3.52 inference(forward_demodulation,[status(thm)],[f432,f455])).
% 24.84/3.52 fof(f505,plain,(
% 24.84/3.52 $false|spl0_3|~spl0_2),
% 24.84/3.52 inference(forward_subsumption_resolution,[status(thm)],[f450,f504])).
% 24.84/3.52 fof(f506,plain,(
% 24.84/3.52 spl0_3|~spl0_2),
% 24.84/3.52 inference(contradiction_clause,[status(thm)],[f505])).
% 24.84/3.52 fof(f509,plain,(
% 24.84/3.52 ~neq(nil,sk2)|spl0_5),
% 24.84/3.52 inference(forward_demodulation,[status(thm)],[f432,f462])).
% 24.84/3.52 fof(f510,plain,(
% 24.84/3.52 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssItem(X3)|~ssList(app(app(X2,cons(X3,X1)),cons(X3,X0)))|~spl0_0)),
% 24.84/3.52 inference(backward_subsumption_resolution,[status(thm)],[f497,f443])).
% 24.84/3.52 fof(f515,plain,(
% 24.84/3.52 app(sk2,nil)=sk2),
% 24.84/3.52 inference(resolution,[status(thm)],[f271,f429])).
% 24.84/3.52 fof(f518,plain,(
% 24.84/3.52 app(nil,sk1)=sk1),
% 24.84/3.52 inference(resolution,[status(thm)],[f272,f428])).
% 24.84/3.52 fof(f521,plain,(
% 24.84/3.52 ~neq(nil,nil)),
% 24.84/3.52 inference(resolution,[status(thm)],[f205,f481])).
% 24.84/3.52 fof(f587,plain,(
% 24.84/3.52 spl0_8 <=> ssList(nil)),
% 24.84/3.52 introduced(split_symbol_definition)).
% 24.84/3.52 fof(f589,plain,(
% 24.84/3.52 ~ssList(nil)|spl0_8),
% 24.84/3.52 inference(component_clause,[status(thm)],[f587])).
% 24.84/3.52 fof(f597,plain,(
% 24.84/3.52 $false|spl0_8),
% 24.84/3.52 inference(forward_subsumption_resolution,[status(thm)],[f589,f205])).
% 24.84/3.52 fof(f598,plain,(
% 24.84/3.52 spl0_8),
% 24.84/3.52 inference(contradiction_clause,[status(thm)],[f597])).
% 24.84/3.52 fof(f599,plain,(
% 24.84/3.52 ![X0,X1,X2,X3]: (~ssList(cons(X0,X1))|~ssList(app(X2,cons(X0,X3)))|~ssList(X1)|~ssList(X3)|~ssList(X2)|~ssItem(X0)|~spl0_0)),
% 24.84/3.52 inference(resolution,[status(thm)],[f283,f510])).
% 24.84/3.52 fof(f600,plain,(
% 24.84/3.52 ![X0,X1,X2,X3]: (~ssList(app(X0,cons(X1,X2)))|~ssList(X3)|~ssList(X2)|~ssList(X0)|~ssItem(X1)|~spl0_0)),
% 24.84/3.52 inference(forward_subsumption_resolution,[status(thm)],[f599,f284])).
% 24.84/3.52 fof(f610,plain,(
% 24.84/3.52 spl0_10 <=> ssList(sk1)),
% 24.84/3.52 introduced(split_symbol_definition)).
% 24.84/3.52 fof(f612,plain,(
% 24.84/3.52 ~ssList(sk1)|spl0_10),
% 24.84/3.52 inference(component_clause,[status(thm)],[f610])).
% 24.84/3.52 fof(f615,plain,(
% 24.84/3.52 spl0_11 <=> ssList(sk2)),
% 24.84/3.52 introduced(split_symbol_definition)).
% 24.84/3.52 fof(f617,plain,(
% 24.84/3.52 ~ssList(sk2)|spl0_11),
% 24.84/3.52 inference(component_clause,[status(thm)],[f615])).
% 24.84/3.52 fof(f717,plain,(
% 24.84/3.52 ![X0,X1]: (~ssItem(X0)|neq(X0,X1)|X0=X1|~spl0_1)),
% 24.84/3.52 inference(backward_subsumption_resolution,[status(thm)],[f302,f446])).
% 24.84/3.52 fof(f718,plain,(
% 24.84/3.52 ![X0,X1]: (neq(X0,X1)|X0=X1|~spl0_1)),
% 24.84/3.52 inference(forward_subsumption_resolution,[status(thm)],[f717,f446])).
% 24.84/3.52 fof(f719,plain,(
% 24.84/3.52 ![X0,X1]: (~cons(X0,X1)=X1|~ssList(X1)|~spl0_1)),
% 24.84/3.52 inference(backward_subsumption_resolution,[status(thm)],[f299,f446])).
% 24.84/3.52 fof(f734,plain,(
% 24.84/3.52 sk1=nil|~spl0_1|spl0_6),
% 24.84/3.52 inference(resolution,[status(thm)],[f718,f466])).
% 24.84/3.52 fof(f744,plain,(
% 24.84/3.52 spl0_15 <=> ~ssList(app(X0,cons(X1,X2)))|~ssList(X2)|~ssList(X0)|~ssItem(X1)),
% 24.84/3.52 introduced(split_symbol_definition)).
% 24.84/3.52 fof(f745,plain,(
% 24.84/3.52 ![X0,X1,X2]: (~ssList(app(X0,cons(X1,X2)))|~ssList(X2)|~ssList(X0)|~ssItem(X1)|~spl0_15)),
% 24.84/3.52 inference(component_clause,[status(thm)],[f744])).
% 24.84/3.52 fof(f747,plain,(
% 24.84/3.52 spl0_16 <=> ~ssList(X3)),
% 24.84/3.52 introduced(split_symbol_definition)).
% 24.84/3.52 fof(f748,plain,(
% 24.84/3.52 ![X0]: (~ssList(X0)|~spl0_16)),
% 24.84/3.52 inference(component_clause,[status(thm)],[f747])).
% 24.84/3.52 fof(f750,plain,(
% 24.84/3.52 spl0_15|spl0_16|~spl0_0),
% 24.84/3.52 inference(split_clause,[status(thm)],[f600,f744,f747,f442])).
% 24.84/3.52 fof(f751,plain,(
% 24.84/3.52 $false|spl0_11),
% 24.84/3.52 inference(forward_subsumption_resolution,[status(thm)],[f429,f617])).
% 24.84/3.52 fof(f752,plain,(
% 24.84/3.52 spl0_11),
% 24.84/3.52 inference(contradiction_clause,[status(thm)],[f751])).
% 24.84/3.52 fof(f753,plain,(
% 24.84/3.52 $false|spl0_10),
% 24.84/3.52 inference(forward_subsumption_resolution,[status(thm)],[f428,f612])).
% 24.84/3.52 fof(f754,plain,(
% 24.84/3.52 spl0_10),
% 24.84/3.52 inference(contradiction_clause,[status(thm)],[f753])).
% 24.84/3.52 fof(f789,plain,(
% 24.84/3.52 ![X0]: (~ssList(X0)|neq(nil,X0)|nil=X0)),
% 24.84/3.52 inference(resolution,[status(thm)],[f300,f205])).
% 24.84/3.52 fof(f792,plain,(
% 24.84/3.52 spl0_17 <=> nil=sk2),
% 24.84/3.52 introduced(split_symbol_definition)).
% 24.84/3.52 fof(f793,plain,(
% 24.84/3.52 nil=sk2|~spl0_17),
% 24.84/3.52 inference(component_clause,[status(thm)],[f792])).
% 24.84/3.52 fof(f795,plain,(
% 24.84/3.52 ~ssList(sk2)|nil=sk2|spl0_5),
% 24.84/3.52 inference(resolution,[status(thm)],[f789,f509])).
% 24.84/3.52 fof(f796,plain,(
% 24.84/3.52 ~spl0_11|spl0_17|spl0_5),
% 24.84/3.52 inference(split_clause,[status(thm)],[f795,f615,f792,f460])).
% 24.84/3.52 fof(f797,plain,(
% 24.84/3.52 ![X0,X1]: (~ssList(X0)|sk2=X0|~ssList(X1)|~tl(sk4)=X1|~app(sk3,X1)=X0|~spl0_4)),
% 24.84/3.52 inference(forward_demodulation,[status(thm)],[f432,f458])).
% 24.84/3.52 fof(f798,plain,(
% 24.84/3.52 ![X0,X1]: (~ssList(X0)|sk2=X0|~ssList(X1)|~tl(sk2)=X1|~app(sk3,X1)=X0|~spl0_4)),
% 24.84/3.52 inference(forward_demodulation,[status(thm)],[f432,f797])).
% 24.84/3.52 fof(f799,plain,(
% 24.84/3.52 ![X0,X1]: (~ssList(X0)|sk2=X0|~ssList(X1)|~tl(sk2)=X1|~app(sk1,X1)=X0|~spl0_4)),
% 24.84/3.52 inference(forward_demodulation,[status(thm)],[f433,f798])).
% 24.84/3.52 fof(f800,plain,(
% 24.84/3.52 ~ssList(app(sk1,tl(sk2)))|sk2=app(sk1,tl(sk2))|~ssList(tl(sk2))|~spl0_4),
% 24.84/3.52 inference(destructive_equality_resolution,[status(esa)],[f799])).
% 24.84/3.52 fof(f811,plain,(
% 24.84/3.52 neq(nil,nil)|~spl0_17|~spl0_2),
% 24.84/3.52 inference(backward_demodulation,[status(thm)],[f793,f450])).
% 24.84/3.52 fof(f812,plain,(
% 24.84/3.52 $false|~spl0_17|~spl0_2),
% 24.84/3.52 inference(forward_subsumption_resolution,[status(thm)],[f811,f521])).
% 24.84/3.52 fof(f813,plain,(
% 24.84/3.52 ~spl0_17|~spl0_2),
% 24.84/3.52 inference(contradiction_clause,[status(thm)],[f812])).
% 24.84/3.52 fof(f814,plain,(
% 24.84/3.52 spl0_18 <=> ssList(app(sk1,tl(sk2)))),
% 24.84/3.52 introduced(split_symbol_definition)).
% 24.84/3.52 fof(f816,plain,(
% 24.84/3.52 ~ssList(app(sk1,tl(sk2)))|spl0_18),
% 24.84/3.52 inference(component_clause,[status(thm)],[f814])).
% 24.84/3.52 fof(f817,plain,(
% 24.84/3.52 spl0_19 <=> sk2=app(sk1,tl(sk2))),
% 24.84/3.52 introduced(split_symbol_definition)).
% 24.84/3.52 fof(f818,plain,(
% 24.84/3.52 sk2=app(sk1,tl(sk2))|~spl0_19),
% 24.84/3.52 inference(component_clause,[status(thm)],[f817])).
% 24.84/3.52 fof(f820,plain,(
% 24.84/3.52 spl0_20 <=> ssList(tl(sk2))),
% 24.84/3.52 introduced(split_symbol_definition)).
% 24.84/3.52 fof(f821,plain,(
% 24.84/3.52 ssList(tl(sk2))|~spl0_20),
% 24.84/3.52 inference(component_clause,[status(thm)],[f820])).
% 24.84/3.52 fof(f822,plain,(
% 24.84/3.52 ~ssList(tl(sk2))|spl0_20),
% 24.84/3.52 inference(component_clause,[status(thm)],[f820])).
% 24.84/3.52 fof(f823,plain,(
% 24.84/3.52 ~spl0_18|spl0_19|~spl0_20|~spl0_4),
% 24.84/3.52 inference(split_clause,[status(thm)],[f800,f814,f817,f820,f457])).
% 24.84/3.52 fof(f827,plain,(
% 24.84/3.52 app(nil,sk1)=nil|~spl0_1|spl0_6),
% 24.84/3.52 inference(backward_demodulation,[status(thm)],[f734,f518])).
% 24.84/3.52 fof(f828,plain,(
% 24.84/3.52 sk1=nil|~spl0_1|spl0_6),
% 24.84/3.52 inference(forward_demodulation,[status(thm)],[f518,f827])).
% 24.84/3.52 fof(f889,plain,(
% 24.84/3.52 ~ssList(sk2)|nil=sk2|spl0_20),
% 24.84/3.52 inference(resolution,[status(thm)],[f822,f273])).
% 24.84/3.52 fof(f890,plain,(
% 24.84/3.52 ~spl0_11|spl0_17|spl0_20),
% 24.84/3.52 inference(split_clause,[status(thm)],[f889,f615,f792,f820])).
% 24.84/3.52 fof(f911,plain,(
% 24.84/3.52 app(nil,tl(sk2))=tl(sk2)|~spl0_20),
% 24.84/3.52 inference(resolution,[status(thm)],[f821,f272])).
% 24.84/3.52 fof(f956,plain,(
% 24.84/3.52 ![X0,X1,X2]: (~cons(X0,app(X1,X2))=app(X1,X2)|~ssList(X2)|~ssList(X1)|~spl0_1)),
% 24.84/3.52 inference(resolution,[status(thm)],[f719,f283])).
% 24.84/3.52 fof(f983,plain,(
% 24.84/3.52 spl0_25 <=> cons(hd(sk2),tl(sk2))=sk2),
% 24.84/3.52 introduced(split_symbol_definition)).
% 24.84/3.52 fof(f984,plain,(
% 24.84/3.52 cons(hd(sk2),tl(sk2))=sk2|~spl0_25),
% 24.84/3.52 inference(component_clause,[status(thm)],[f983])).
% 24.84/3.52 fof(f986,plain,(
% 24.84/3.52 cons(hd(sk2),tl(sk2))=sk2|nil=sk2),
% 24.84/3.52 inference(resolution,[status(thm)],[f429,f304])).
% 24.84/3.52 fof(f987,plain,(
% 24.84/3.52 spl0_25|spl0_17),
% 24.84/3.52 inference(split_clause,[status(thm)],[f986,f983,f792])).
% 24.84/3.52 fof(f1353,plain,(
% 24.84/3.52 spl0_50 <=> ~cons(X0,sk2)=app(sk2,nil)),
% 24.84/3.52 introduced(split_symbol_definition)).
% 24.84/3.52 fof(f1354,plain,(
% 24.84/3.52 ![X0]: (~cons(X0,sk2)=app(sk2,nil)|~spl0_50)),
% 24.84/3.52 inference(component_clause,[status(thm)],[f1353])).
% 24.84/3.52 fof(f1356,plain,(
% 24.84/3.52 ![X0]: (~cons(X0,sk2)=app(sk2,nil)|~ssList(nil)|~ssList(sk2)|~spl0_1)),
% 24.84/3.52 inference(paramodulation,[status(thm)],[f515,f956])).
% 24.84/3.52 fof(f1357,plain,(
% 24.84/3.52 spl0_50|~spl0_8|~spl0_11|~spl0_1),
% 24.84/3.52 inference(split_clause,[status(thm)],[f1356,f1353,f587,f615,f445])).
% 24.84/3.52 fof(f2251,plain,(
% 24.84/3.52 spl0_95 <=> ~ssList(X0)|~ssList(X0)),
% 24.84/3.52 introduced(split_symbol_definition)).
% 24.84/3.52 fof(f2252,plain,(
% 24.84/3.52 ![X0]: (~ssList(X0)|~ssList(X0)|~spl0_95)),
% 24.84/3.52 inference(component_clause,[status(thm)],[f2251])).
% 24.84/3.52 fof(f2259,plain,(
% 24.84/3.52 ![X0]: (~ssList(X0)|~spl0_95)),
% 24.84/3.52 inference(duplicate_literals_removal,[status(esa)],[f2252])).
% 24.84/3.52 fof(f2260,plain,(
% 24.84/3.52 $false|~spl0_95),
% 24.84/3.52 inference(backward_subsumption_resolution,[status(thm)],[f215,f2259])).
% 24.84/3.52 fof(f2261,plain,(
% 24.84/3.52 ~spl0_95),
% 24.84/3.52 inference(contradiction_clause,[status(thm)],[f2260])).
% 24.84/3.52 fof(f2722,plain,(
% 24.84/3.52 spl0_98 <=> ~ssList(X0)|~ssItem(X2)|~ssList(cons(X2,X0))),
% 24.84/3.52 introduced(split_symbol_definition)).
% 24.84/3.52 fof(f2723,plain,(
% 24.84/3.52 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~ssList(cons(X1,X0))|~spl0_98)),
% 24.84/3.52 inference(component_clause,[status(thm)],[f2722])).
% 24.84/3.52 fof(f2725,plain,(
% 24.84/3.52 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~ssList(cons(X2,X0))|~ssList(X1)|~spl0_15)),
% 24.84/3.52 inference(resolution,[status(thm)],[f745,f283])).
% 24.84/3.52 fof(f2726,plain,(
% 24.84/3.52 spl0_98|spl0_95|~spl0_15),
% 24.84/3.52 inference(split_clause,[status(thm)],[f2725,f2722,f2251,f744])).
% 24.84/3.52 fof(f2727,plain,(
% 24.84/3.52 $false|~spl0_16),
% 24.84/3.52 inference(backward_subsumption_resolution,[status(thm)],[f245,f748])).
% 24.84/3.52 fof(f2728,plain,(
% 24.84/3.52 ~spl0_16),
% 24.84/3.52 inference(contradiction_clause,[status(thm)],[f2727])).
% 24.84/3.52 fof(f2732,plain,(
% 24.84/3.52 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~spl0_98)),
% 24.84/3.52 inference(forward_subsumption_resolution,[status(thm)],[f2723,f284])).
% 24.84/3.52 fof(f2830,plain,(
% 24.84/3.52 ![X0]: (~ssList(X0)|~spl0_98)),
% 24.84/3.52 inference(resolution,[status(thm)],[f2732,f206])).
% 24.84/3.52 fof(f2831,plain,(
% 24.84/3.52 spl0_16|~spl0_98),
% 24.84/3.52 inference(split_clause,[status(thm)],[f2830,f747,f2722])).
% 24.84/3.52 fof(f2835,plain,(
% 24.84/3.52 ![X0]: (~cons(X0,sk2)=sk2|~spl0_50)),
% 24.84/3.52 inference(forward_demodulation,[status(thm)],[f515,f1354])).
% 24.84/3.52 fof(f3198,plain,(
% 24.84/3.52 spl0_107 <=> ~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1)),
% 24.84/3.52 introduced(split_symbol_definition)).
% 24.84/3.52 fof(f3199,plain,(
% 24.84/3.52 ![X0]: (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1)|~spl0_107)),
% 24.84/3.52 inference(component_clause,[status(thm)],[f3198])).
% 24.84/3.52 fof(f3201,plain,(
% 24.84/3.52 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(sk1)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1))),
% 24.84/3.52 inference(paramodulation,[status(thm)],[f518,f493])).
% 24.84/3.52 fof(f3202,plain,(
% 24.84/3.52 spl0_107|~spl0_8|~spl0_10),
% 24.84/3.52 inference(split_clause,[status(thm)],[f3201,f3198,f587,f610])).
% 24.84/3.52 fof(f3215,plain,(
% 24.84/3.52 ![X0]: (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(sk1,X0),sk1)|~spl0_107)),
% 24.84/3.52 inference(forward_demodulation,[status(thm)],[f518,f3199])).
% 24.84/3.52 fof(f3238,plain,(
% 24.84/3.52 ~ssList(tl(sk2))|~ssList(sk1)|spl0_18),
% 24.84/3.52 inference(resolution,[status(thm)],[f816,f283])).
% 24.84/3.52 fof(f3239,plain,(
% 24.84/3.52 ~spl0_20|~spl0_10|spl0_18),
% 24.84/3.52 inference(split_clause,[status(thm)],[f3238,f820,f610,f814])).
% 24.84/3.52 fof(f3240,plain,(
% 24.84/3.52 sk2=app(nil,tl(sk2))|~spl0_1|spl0_6|~spl0_19),
% 24.84/3.52 inference(forward_demodulation,[status(thm)],[f828,f818])).
% 24.84/3.52 fof(f3241,plain,(
% 24.84/3.52 sk2=tl(sk2)|~spl0_20|~spl0_1|spl0_6|~spl0_19),
% 24.84/3.52 inference(forward_demodulation,[status(thm)],[f911,f3240])).
% 24.84/3.52 fof(f3408,plain,(
% 24.84/3.52 cons(hd(sk2),sk2)=sk2|~spl0_20|~spl0_1|spl0_6|~spl0_19|~spl0_25),
% 24.84/3.52 inference(backward_demodulation,[status(thm)],[f3241,f984])).
% 24.84/3.52 fof(f3409,plain,(
% 24.84/3.52 $false|~spl0_50|~spl0_20|~spl0_1|spl0_6|~spl0_19|~spl0_25),
% 25.12/3.55 inference(forward_subsumption_resolution,[status(thm)],[f3408,f2835])).
% 25.12/3.55 fof(f3410,plain,(
% 25.12/3.55 ~spl0_50|~spl0_20|~spl0_1|spl0_6|~spl0_19|~spl0_25),
% 25.12/3.55 inference(contradiction_clause,[status(thm)],[f3409])).
% 25.12/3.55 fof(f3951,plain,(
% 25.12/3.55 ~ssList(tl(sk2))|~ssList(app(sk1,tl(sk2)))|segmentP(sk2,sk1)|~spl0_107|~spl0_19),
% 25.12/3.55 inference(paramodulation,[status(thm)],[f818,f3215])).
% 25.12/3.55 fof(f3952,plain,(
% 25.12/3.55 ~spl0_20|~spl0_18|spl0_7|~spl0_107|~spl0_19),
% 25.12/3.55 inference(split_clause,[status(thm)],[f3951,f820,f814,f467,f3198,f817])).
% 25.12/3.55 fof(f3977,plain,(
% 25.12/3.55 $false),
% 25.12/3.55 inference(sat_refutation,[status(thm)],[f448,f452,f471,f472,f506,f598,f750,f752,f754,f796,f813,f823,f890,f987,f1357,f2261,f2726,f2728,f2831,f3202,f3239,f3410,f3952])).
% 25.12/3.55 % SZS output end CNFRefutation for theBenchmark.p
% 25.12/3.58 % Elapsed time: 3.214872 seconds
% 25.12/3.58 % CPU time: 25.330794 seconds
% 25.12/3.58 % Total memory used: 231.784 MB
% 25.12/3.58 % Net memory used: 221.648 MB
%------------------------------------------------------------------------------