%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU221+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:22:02 PM UTC 2026
% Result : Theorem 0.10s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU221+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 05:59:25 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.41 fof(f5,axiom,(
% 0.10/0.41 (! [A] :( ( relation(A)& function(A) )=> ( one_to_one(A)<=> (! [B,C] :( ( in(B,relation_dom(A))& in(C,relation_dom(A))& apply(A,B) = apply(A,C) )=> B = C ) )) ) )),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f9,axiom,(
% 0.10/0.41 (! [A] :( ( relation(A)& function(A) )=> ( relation(function_inverse(A))& function(function_inverse(A)) ) ) )),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f34,axiom,(
% 0.10/0.41 (! [A] :( ( relation(A)& function(A) )=> ( one_to_one(A)=> (! [B] :( ( relation(B)& function(B) )=> ( B = function_inverse(A)<=> ( relation_dom(B) = relation_rng(A)& (! [C,D] :( ( ( in(C,relation_rng(A))& D = apply(B,C) )=> ( in(D,relation_dom(A))& C = apply(A,D) ) )& ( ( in(D,relation_dom(A))& C = apply(A,D) )=> ( in(C,relation_rng(A))& D = apply(B,C) ) ) ) )) ) ) )) ) )),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f35,axiom,(
% 0.10/0.41 (! [A,B] :( ( relation(B)& function(B) )=> ( ( one_to_one(B)& in(A,relation_rng(B)) )=> ( A = apply(B,apply(function_inverse(B),A))& A = apply(relation_composition(function_inverse(B),B),A) ) ) ) )),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f36,conjecture,(
% 0.10/0.41 (! [A] :( ( relation(A)& function(A) )=> ( one_to_one(A)=> one_to_one(function_inverse(A)) ) ) )),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f37,negated_conjecture,(
% 0.10/0.41 ~((! [A] :( ( relation(A)& function(A) )=> ( one_to_one(A)=> one_to_one(function_inverse(A)) ) ) ))),
% 0.10/0.41 inference(negated_conjecture,[status(cth)],[f36])).
% 0.10/0.41 fof(f51,plain,(
% 0.10/0.41 ![A]: ((~relation(A)|~function(A))|(one_to_one(A)<=>(![B,C]: (((~in(B,relation_dom(A))|~in(C,relation_dom(A)))|~apply(A,B)=apply(A,C))|B=C))))),
% 0.10/0.41 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.10/0.41 fof(f52,plain,(
% 0.10/0.41 ![A]: ((~relation(A)|~function(A))|((~one_to_one(A)|(![B,C]: (((~in(B,relation_dom(A))|~in(C,relation_dom(A)))|~apply(A,B)=apply(A,C))|B=C)))&(one_to_one(A)|(?[B,C]: (((in(B,relation_dom(A))&in(C,relation_dom(A)))&apply(A,B)=apply(A,C))&~B=C)))))),
% 0.10/0.41 inference(NNF_transformation,[status(thm)],[f51])).
% 0.10/0.41 fof(f53,plain,(
% 0.10/0.41 ![A]: ((~relation(A)|~function(A))|((~one_to_one(A)|(![B,C]: (((~in(B,relation_dom(A))|~in(C,relation_dom(A)))|~apply(A,B)=apply(A,C))|B=C)))&(one_to_one(A)|(((in(sK0_skl(A),relation_dom(A))&in(sK1_skl(A),relation_dom(A)))&apply(A,sK0_skl(A))=apply(A,sK1_skl(A)))&~sK0_skl(A)=sK1_skl(A)))))),
% 0.10/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(B,sK0_skl(A)),skolemize(C,sK1_skl(A))],[f52])).
% 0.10/0.41 fof(f55,plain,(
% 0.10/0.41 ![X0]: (~relation(X0)|~function(X0)|one_to_one(X0)|in(sK0_skl(X0),relation_dom(X0)))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f53])).
% 0.10/0.41 fof(f56,plain,(
% 0.10/0.41 ![X0]: (~relation(X0)|~function(X0)|one_to_one(X0)|in(sK1_skl(X0),relation_dom(X0)))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f53])).
% 0.10/0.41 fof(f57,plain,(
% 0.10/0.41 ![X0]: (~relation(X0)|~function(X0)|one_to_one(X0)|apply(X0,sK0_skl(X0))=apply(X0,sK1_skl(X0)))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f53])).
% 0.10/0.41 fof(f58,plain,(
% 0.10/0.41 ![X0]: (~relation(X0)|~function(X0)|one_to_one(X0)|~sK0_skl(X0)=sK1_skl(X0))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f53])).
% 0.10/0.41 fof(f59,plain,(
% 0.10/0.41 ![A]: ((~relation(A)|~function(A))|(relation(function_inverse(A))&function(function_inverse(A))))),
% 0.10/0.41 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.10/0.41 fof(f60,plain,(
% 0.10/0.41 ![X0]: (~relation(X0)|~function(X0)|relation(function_inverse(X0)))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f59])).
% 0.10/0.41 fof(f61,plain,(
% 0.10/0.41 ![X0]: (~relation(X0)|~function(X0)|function(function_inverse(X0)))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f59])).
% 0.10/0.41 fof(f119,plain,(
% 0.10/0.41 ![A]: ((~relation(A)|~function(A))|(~one_to_one(A)|(![B]: ((~relation(B)|~function(B))|(B=function_inverse(A)<=>(relation_dom(B)=relation_rng(A)&(![C,D]: (((~in(C,relation_rng(A))|~D=apply(B,C))|(in(D,relation_dom(A))&C=apply(A,D)))&((~in(D,relation_dom(A))|~C=apply(A,D))|(in(C,relation_rng(A))&D=apply(B,C)))))))))))),
% 0.10/0.41 inference(pre_NNF_transformation,[status(thm)],[f34])).
% 0.10/0.41 fof(f120,definition,(
% 0.10/0.41 ![A,B,C,D]: (sP0_prd(D,C,B,A)<=>((~in(C,relation_rng(A))|~D=apply(B,C))|(in(D,relation_dom(A))&C=apply(A,D))))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.10/0.41 fof(f121,plain,(
% 0.10/0.41 ![A]: ((~relation(A)|~function(A))|(~one_to_one(A)|(![B]: ((~relation(B)|~function(B))|(B=function_inverse(A)<=>(relation_dom(B)=relation_rng(A)&(![C,D]: (sP0_prd(D,C,B,A)&((~in(D,relation_dom(A))|~C=apply(A,D))|(in(C,relation_rng(A))&D=apply(B,C)))))))))))),
% 0.10/0.41 inference(formula_renaming,[status(thm)],[f119,f120])).
% 0.10/0.41 fof(f122,plain,(
% 0.10/0.41 ![A]: ((~relation(A)|~function(A))|(~one_to_one(A)|(![B]: ((~relation(B)|~function(B))|((~B=function_inverse(A)|(relation_dom(B)=relation_rng(A)&(![C,D]: (sP0_prd(D,C,B,A)&((~in(D,relation_dom(A))|~C=apply(A,D))|(in(C,relation_rng(A))&D=apply(B,C)))))))&(B=function_inverse(A)|(~relation_dom(B)=relation_rng(A)|(?[C,D]: (~sP0_prd(D,C,B,A)|((in(D,relation_dom(A))&C=apply(A,D))&(~in(C,relation_rng(A))|~D=apply(B,C))))))))))))),
% 0.10/0.41 inference(NNF_transformation,[status(thm)],[f121])).
% 0.10/0.41 fof(f123,plain,(
% 0.10/0.41 ![A]: ((~relation(A)|~function(A))|(~one_to_one(A)|(![B]: ((~relation(B)|~function(B))|((~B=function_inverse(A)|(relation_dom(B)=relation_rng(A)&((![C,D]: sP0_prd(D,C,B,A))&(![C,D]: ((~in(D,relation_dom(A))|~C=apply(A,D))|(in(C,relation_rng(A))&D=apply(B,C)))))))&(B=function_inverse(A)|(~relation_dom(B)=relation_rng(A)|((?[C,D]: ~sP0_prd(D,C,B,A))|(?[C,D]: ((in(D,relation_dom(A))&C=apply(A,D))&(~in(C,relation_rng(A))|~D=apply(B,C))))))))))))),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f122])).
% 0.10/0.41 fof(f124,plain,(
% 0.10/0.41 ![A]: ((~relation(A)|~function(A))|(~one_to_one(A)|(![B]: ((~relation(B)|~function(B))|((~B=function_inverse(A)|(relation_dom(B)=relation_rng(A)&((![C,D]: sP0_prd(D,C,B,A))&(![C,D]: ((~in(D,relation_dom(A))|~C=apply(A,D))|(in(C,relation_rng(A))&D=apply(B,C)))))))&(B=function_inverse(A)|(~relation_dom(B)=relation_rng(A)|(~sP0_prd(sK12_skl(B,A),sK11_skl(B,A),B,A)|((in(sK14_skl(B,A),relation_dom(A))&sK13_skl(B,A)=apply(A,sK14_skl(B,A)))&(~in(sK13_skl(B,A),relation_rng(A))|~sK14_skl(B,A)=apply(B,sK13_skl(B,A))))))))))))),
% 0.10/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl,sK12_skl,sK13_skl,sK14_skl]),skolemize(C,sK11_skl(B,A)),skolemize(D,sK12_skl(B,A)),skolemize(C,sK13_skl(B,A)),skolemize(D,sK14_skl(B,A))],[f123])).
% 0.10/0.41 fof(f125,plain,(
% 0.10/0.41 ![X0,X1]: (~relation(X0)|~function(X0)|~one_to_one(X0)|~relation(X1)|~function(X1)|~X1=function_inverse(X0)|relation_dom(X1)=relation_rng(X0))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f124])).
% 0.10/0.41 fof(f132,plain,(
% 0.10/0.41 ![A,B]: ((~relation(B)|~function(B))|((~one_to_one(B)|~in(A,relation_rng(B)))|(A=apply(B,apply(function_inverse(B),A))&A=apply(relation_composition(function_inverse(B),B),A))))),
% 0.10/0.41 inference(pre_NNF_transformation,[status(thm)],[f35])).
% 0.10/0.41 fof(f133,plain,(
% 0.10/0.41 ![B]: ((~relation(B)|~function(B))|(![A]: ((~one_to_one(B)|~in(A,relation_rng(B)))|(A=apply(B,apply(function_inverse(B),A))&A=apply(relation_composition(function_inverse(B),B),A)))))),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f132])).
% 0.10/0.41 fof(f134,plain,(
% 0.10/0.41 ![X0,X1]: (~relation(X0)|~function(X0)|~one_to_one(X0)|~in(X1,relation_rng(X0))|X1=apply(X0,apply(function_inverse(X0),X1)))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f133])).
% 0.10/0.41 fof(f136,plain,(
% 0.10/0.41 (?[A]: ((relation(A)&function(A))&(one_to_one(A)&~one_to_one(function_inverse(A)))))),
% 0.10/0.41 inference(pre_NNF_transformation,[status(thm)],[f37])).
% 0.10/0.41 fof(f137,plain,(
% 0.10/0.41 ((relation(sK15_skl)&function(sK15_skl))&(one_to_one(sK15_skl)&~one_to_one(function_inverse(sK15_skl))))),
% 0.10/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl]),skolemize(A,sK15_skl)],[f136])).
% 0.10/0.41 fof(f138,plain,(
% 0.10/0.41 relation(sK15_skl)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f137])).
% 0.10/0.41 fof(f139,plain,(
% 0.10/0.41 function(sK15_skl)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f137])).
% 0.10/0.41 fof(f140,plain,(
% 0.10/0.41 one_to_one(sK15_skl)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f137])).
% 0.10/0.41 fof(f141,plain,(
% 0.10/0.41 ~one_to_one(function_inverse(sK15_skl))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f137])).
% 0.10/0.41 fof(f158,plain,(
% 0.10/0.41 ![X0]: (~relation(X0)|~function(X0)|~one_to_one(X0)|~relation(function_inverse(X0))|~function(function_inverse(X0))|relation_dom(function_inverse(X0))=relation_rng(X0))),
% 0.10/0.41 inference(destructive_equality_resolution,[status(thm)],[f125])).
% 0.10/0.41 fof(f159,plain,(
% 0.10/0.41 ![X0]: (~relation(X0)|~function(X0)|~one_to_one(X0)|~function(function_inverse(X0))|relation_dom(function_inverse(X0))=relation_rng(X0))),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f158,f60])).
% 0.10/0.41 fof(f169,plain,(
% 0.10/0.41 ![X0]: (~relation(X0)|~function(X0)|~one_to_one(X0)|relation_dom(function_inverse(X0))=relation_rng(X0)|~relation(X0)|~function(X0))),
% 0.10/0.41 inference(resolution,[status(thm)],[f159,f61])).
% 0.10/0.41 fof(f170,plain,(
% 0.10/0.41 ![X0]: (~relation(X0)|~function(X0)|~one_to_one(X0)|relation_dom(function_inverse(X0))=relation_rng(X0))),
% 0.10/0.41 inference(duplicate_literals_removal,[status(thm)],[f169])).
% 0.10/0.41 fof(f171,plain,(
% 0.10/0.41 ~relation(sK15_skl)|~function(sK15_skl)|relation_dom(function_inverse(sK15_skl))=relation_rng(sK15_skl)),
% 0.10/0.41 inference(resolution,[status(thm)],[f170,f140])).
% 0.10/0.41 fof(f172,plain,(
% 0.10/0.41 ~function(sK15_skl)|relation_dom(function_inverse(sK15_skl))=relation_rng(sK15_skl)),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f171,f138])).
% 0.10/0.41 fof(f173,plain,(
% 0.10/0.41 relation_dom(function_inverse(sK15_skl))=relation_rng(sK15_skl)),
% 0.10/0.41 inference(resolution,[status(thm)],[f172,f139])).
% 0.10/0.41 fof(f212,plain,(
% 0.10/0.41 ![X0]: (~relation(function_inverse(X0))|one_to_one(function_inverse(X0))|in(sK0_skl(function_inverse(X0)),relation_dom(function_inverse(X0)))|~relation(X0)|~function(X0))),
% 0.10/0.41 inference(resolution,[status(thm)],[f55,f61])).
% 0.10/0.41 fof(f215,plain,(
% 0.10/0.41 ![X0]: (one_to_one(function_inverse(X0))|in(sK0_skl(function_inverse(X0)),relation_dom(function_inverse(X0)))|~relation(X0)|~function(X0))),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f212,f60])).
% 0.10/0.41 fof(f232,plain,(
% 0.10/0.41 ~relation(function_inverse(sK15_skl))|~function(function_inverse(sK15_skl))|one_to_one(function_inverse(sK15_skl))|in(sK1_skl(function_inverse(sK15_skl)),relation_rng(sK15_skl))),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f173,f56])).
% 0.10/0.41 fof(f233,plain,(
% 0.10/0.41 ~relation(function_inverse(sK15_skl))|~function(function_inverse(sK15_skl))|in(sK1_skl(function_inverse(sK15_skl)),relation_rng(sK15_skl))),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f232,f141])).
% 0.10/0.41 fof(f240,plain,(
% 0.10/0.41 ![X0]: (~relation(function_inverse(X0))|one_to_one(function_inverse(X0))|apply(function_inverse(X0),sK0_skl(function_inverse(X0)))=apply(function_inverse(X0),sK1_skl(function_inverse(X0)))|~relation(X0)|~function(X0))),
% 0.10/0.41 inference(resolution,[status(thm)],[f57,f61])).
% 0.10/0.41 fof(f243,plain,(
% 0.10/0.41 ![X0]: (one_to_one(function_inverse(X0))|apply(function_inverse(X0),sK0_skl(function_inverse(X0)))=apply(function_inverse(X0),sK1_skl(function_inverse(X0)))|~relation(X0)|~function(X0))),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f240,f60])).
% 0.10/0.41 fof(f244,plain,(
% 0.10/0.41 ~relation(function_inverse(sK15_skl))|in(sK1_skl(function_inverse(sK15_skl)),relation_rng(sK15_skl))|~relation(sK15_skl)|~function(sK15_skl)),
% 0.10/0.41 inference(resolution,[status(thm)],[f233,f61])).
% 0.10/0.41 fof(f245,plain,(
% 0.10/0.41 in(sK1_skl(function_inverse(sK15_skl)),relation_rng(sK15_skl))|~relation(sK15_skl)|~function(sK15_skl)),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f244,f60])).
% 0.10/0.41 fof(f246,plain,(
% 0.10/0.41 in(sK1_skl(function_inverse(sK15_skl)),relation_rng(sK15_skl))|~relation(sK15_skl)),
% 0.10/0.41 inference(resolution,[status(thm)],[f245,f139])).
% 0.10/0.41 fof(f247,plain,(
% 0.10/0.41 in(sK1_skl(function_inverse(sK15_skl)),relation_rng(sK15_skl))),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f246,f138])).
% 0.10/0.41 fof(f248,plain,(
% 0.10/0.41 ~relation(sK15_skl)|~function(sK15_skl)|~one_to_one(sK15_skl)|sK1_skl(function_inverse(sK15_skl))=apply(sK15_skl,apply(function_inverse(sK15_skl),sK1_skl(function_inverse(sK15_skl))))),
% 0.10/0.41 inference(resolution,[status(thm)],[f247,f134])).
% 0.10/0.41 fof(f250,plain,(
% 0.10/0.41 ~function(sK15_skl)|~one_to_one(sK15_skl)|sK1_skl(function_inverse(sK15_skl))=apply(sK15_skl,apply(function_inverse(sK15_skl),sK1_skl(function_inverse(sK15_skl))))),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f248,f138])).
% 0.10/0.41 fof(f251,plain,(
% 0.10/0.41 ~one_to_one(sK15_skl)|sK1_skl(function_inverse(sK15_skl))=apply(sK15_skl,apply(function_inverse(sK15_skl),sK1_skl(function_inverse(sK15_skl))))),
% 0.10/0.41 inference(resolution,[status(thm)],[f250,f139])).
% 0.10/0.41 fof(f253,plain,(
% 0.10/0.41 sK1_skl(function_inverse(sK15_skl))=apply(sK15_skl,apply(function_inverse(sK15_skl),sK1_skl(function_inverse(sK15_skl))))),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f251,f140])).
% 0.10/0.41 fof(f278,plain,(
% 0.10/0.41 one_to_one(function_inverse(sK15_skl))|in(sK0_skl(function_inverse(sK15_skl)),relation_dom(function_inverse(sK15_skl)))|~relation(sK15_skl)),
% 0.10/0.41 inference(resolution,[status(thm)],[f215,f139])).
% 0.10/0.41 fof(f291,plain,(
% 0.10/0.41 one_to_one(function_inverse(sK15_skl))|in(sK0_skl(function_inverse(sK15_skl)),relation_rng(sK15_skl))|~relation(sK15_skl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f173,f278])).
% 0.10/0.41 fof(f292,plain,(
% 0.10/0.41 in(sK0_skl(function_inverse(sK15_skl)),relation_rng(sK15_skl))|~relation(sK15_skl)),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f291,f141])).
% 0.10/0.41 fof(f293,plain,(
% 0.10/0.41 in(sK0_skl(function_inverse(sK15_skl)),relation_rng(sK15_skl))),
% 0.10/0.41 inference(resolution,[status(thm)],[f292,f138])).
% 0.10/0.41 fof(f296,plain,(
% 0.10/0.41 apply(function_inverse(sK15_skl),sK0_skl(function_inverse(sK15_skl)))=apply(function_inverse(sK15_skl),sK1_skl(function_inverse(sK15_skl)))|~relation(sK15_skl)|~function(sK15_skl)),
% 0.10/0.41 inference(resolution,[status(thm)],[f243,f141])).
% 0.10/0.41 fof(f300,plain,(
% 0.10/0.41 apply(function_inverse(sK15_skl),sK0_skl(function_inverse(sK15_skl)))=apply(function_inverse(sK15_skl),sK1_skl(function_inverse(sK15_skl)))|~function(sK15_skl)),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f296,f138])).
% 0.10/0.41 fof(f425,plain,(
% 0.10/0.41 ~relation(sK15_skl)|~function(sK15_skl)|~one_to_one(sK15_skl)|sK0_skl(function_inverse(sK15_skl))=apply(sK15_skl,apply(function_inverse(sK15_skl),sK0_skl(function_inverse(sK15_skl))))),
% 0.10/0.41 inference(resolution,[status(thm)],[f293,f134])).
% 0.10/0.41 fof(f427,plain,(
% 0.10/0.41 ~function(sK15_skl)|~one_to_one(sK15_skl)|sK0_skl(function_inverse(sK15_skl))=apply(sK15_skl,apply(function_inverse(sK15_skl),sK0_skl(function_inverse(sK15_skl))))),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f425,f138])).
% 0.10/0.41 fof(f428,plain,(
% 0.10/0.41 apply(function_inverse(sK15_skl),sK0_skl(function_inverse(sK15_skl)))=apply(function_inverse(sK15_skl),sK1_skl(function_inverse(sK15_skl)))),
% 0.10/0.41 inference(resolution,[status(thm)],[f300,f139])).
% 0.10/0.41 fof(f430,plain,(
% 0.10/0.41 ~function(sK15_skl)|~one_to_one(sK15_skl)|sK0_skl(function_inverse(sK15_skl))=apply(sK15_skl,apply(function_inverse(sK15_skl),sK1_skl(function_inverse(sK15_skl))))),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f428,f427])).
% 0.10/0.41 fof(f431,plain,(
% 0.10/0.41 ~function(sK15_skl)|~one_to_one(sK15_skl)|sK0_skl(function_inverse(sK15_skl))=sK1_skl(function_inverse(sK15_skl))),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f253,f430])).
% 0.10/0.41 fof(f432,plain,(
% 0.10/0.41 ~one_to_one(sK15_skl)|sK0_skl(function_inverse(sK15_skl))=sK1_skl(function_inverse(sK15_skl))),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f431,f139])).
% 0.10/0.41 fof(f433,plain,(
% 0.10/0.41 sK0_skl(function_inverse(sK15_skl))=sK1_skl(function_inverse(sK15_skl))),
% 0.10/0.41 inference(resolution,[status(thm)],[f432,f140])).
% 0.10/0.41 fof(f438,plain,(
% 0.10/0.41 ~relation(function_inverse(sK15_skl))|~function(function_inverse(sK15_skl))|one_to_one(function_inverse(sK15_skl))),
% 0.10/0.41 inference(resolution,[status(thm)],[f433,f58])).
% 0.10/0.41 fof(f440,plain,(
% 0.10/0.41 ~relation(function_inverse(sK15_skl))|~function(function_inverse(sK15_skl))),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f438,f141])).
% 0.10/0.41 fof(f442,plain,(
% 0.10/0.41 ~relation(function_inverse(sK15_skl))|~relation(sK15_skl)|~function(sK15_skl)),
% 0.10/0.41 inference(resolution,[status(thm)],[f440,f61])).
% 0.10/0.41 fof(f443,plain,(
% 0.10/0.41 ~relation(sK15_skl)|~function(sK15_skl)),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f442,f60])).
% 0.10/0.41 fof(f444,plain,(
% 0.10/0.41 ~relation(sK15_skl)),
% 0.10/0.41 inference(resolution,[status(thm)],[f443,f139])).
% 0.10/0.41 fof(f445,plain,(
% 0.10/0.41 $false),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f444,f138])).
% 0.10/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.43 % Elapsed time: 0.055286 seconds
% 0.10/0.43 % CPU time: 0.159480 seconds
% 0.10/0.43 % Total memory used: 83.161 MB
% 0.10/0.43 % Net memory used: 83.008 MB
%------------------------------------------------------------------------------