%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU012+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 02:21:35 PM UTC 2026
% Result : Theorem 69.24s 9.84s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU012+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.45 % Computer : n010.cluster.edu
% 0.16/0.45 % Model : x86_64 x86_64
% 0.16/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.45 % Memory : 8046.5625MB
% 0.16/0.45 % OS : Linux 6.8.0-71-generic
% 0.16/0.45 % CPULimit : 300
% 0.16/0.45 % WCLimit : 300
% 0.16/0.45 % DateTime : Mon Sep 21 05:47:10 UTC 2026
% 0.16/0.45 % CPUTime :
% 0.16/0.48 % Drodi V4.1.1
% 69.24/9.84 % Refutation found
% 69.24/9.84 % SZS status Theorem for theBenchmark: Theorem is valid
% 69.24/9.84 % SZS output start CNFRefutation for theBenchmark
% 69.24/9.84 fof(f4,axiom,(
% 69.24/9.84 (! [A] :( ( relation(A)& function(A) )=> (! [B] :( B = relation_rng(A)<=> (! [C] :( in(C,B)<=> (? [D] :( in(D,relation_dom(A))& C = apply(A,D) ) )) )) )) )),
% 69.24/9.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 69.24/9.84 fof(f30,axiom,(
% 69.24/9.84 (! [A,B] :( ( relation(B)& function(B) )=> (! [C] :( ( relation(C)& function(C) )=> ( in(A,relation_dom(B))=> apply(relation_composition(B,C),A) = apply(C,apply(B,A)) ) ) )) )),
% 69.24/9.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 69.24/9.84 fof(f32,axiom,(
% 69.24/9.84 (! [A,B] :( ( relation(B)& function(B) )=> ( B = identity_relation(A)<=> ( relation_dom(B) = A& (! [C] :( in(C,A)=> apply(B,C) = C ) )) ) ) )),
% 69.24/9.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 69.24/9.84 fof(f34,conjecture,(
% 69.24/9.84 (! [A] :( ( relation(A)& function(A) )=> (! [B] :( ( relation(B)& function(B) )=> ( ( relation_rng(A) = relation_dom(B)& relation_composition(A,B) = A )=> B = identity_relation(relation_dom(B)) ) ) )) )),
% 69.24/9.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 69.24/9.84 fof(f35,negated_conjecture,(
% 69.24/9.84 ~((! [A] :( ( relation(A)& function(A) )=> (! [B] :( ( relation(B)& function(B) )=> ( ( relation_rng(A) = relation_dom(B)& relation_composition(A,B) = A )=> B = identity_relation(relation_dom(B)) ) ) )) ))),
% 69.24/9.84 inference(negated_conjecture,[status(cth)],[f34])).
% 69.24/9.84 fof(f47,plain,(
% 69.24/9.84 ![A]: ((~relation(A)|~function(A))|(![B]: (B=relation_rng(A)<=>(![C]: (in(C,B)<=>(?[D]: (in(D,relation_dom(A))&C=apply(A,D))))))))),
% 69.24/9.84 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 69.24/9.84 fof(f48,plain,(
% 69.24/9.84 ![A]: ((~relation(A)|~function(A))|(![B]: ((~B=relation_rng(A)|(![C]: ((~in(C,B)|(?[D]: (in(D,relation_dom(A))&C=apply(A,D))))&(in(C,B)|(![D]: (~in(D,relation_dom(A))|~C=apply(A,D)))))))&(B=relation_rng(A)|(?[C]: ((~in(C,B)|(![D]: (~in(D,relation_dom(A))|~C=apply(A,D))))&(in(C,B)|(?[D]: (in(D,relation_dom(A))&C=apply(A,D))))))))))),
% 69.24/9.84 inference(NNF_transformation,[status(thm)],[f47])).
% 69.24/9.84 fof(f49,plain,(
% 69.24/9.84 ![A]: ((~relation(A)|~function(A))|((![B]: (~B=relation_rng(A)|((![C]: (~in(C,B)|(?[D]: (in(D,relation_dom(A))&C=apply(A,D)))))&(![C]: (in(C,B)|(![D]: (~in(D,relation_dom(A))|~C=apply(A,D))))))))&(![B]: (B=relation_rng(A)|(?[C]: ((~in(C,B)|(![D]: (~in(D,relation_dom(A))|~C=apply(A,D))))&(in(C,B)|(?[D]: (in(D,relation_dom(A))&C=apply(A,D))))))))))),
% 69.24/9.84 inference(miniscoping,[status(thm)],[f48])).
% 69.24/9.84 fof(f50,plain,(
% 69.24/9.84 ![A]: ((~relation(A)|~function(A))|((![B]: (~B=relation_rng(A)|((![C]: (~in(C,B)|(in(sK0_skl(C,B,A),relation_dom(A))&C=apply(A,sK0_skl(C,B,A)))))&(![C]: (in(C,B)|(![D]: (~in(D,relation_dom(A))|~C=apply(A,D))))))))&(![B]: (B=relation_rng(A)|((~in(sK1_skl(B,A),B)|(![D]: (~in(D,relation_dom(A))|~sK1_skl(B,A)=apply(A,D))))&(in(sK1_skl(B,A),B)|(in(sK2_skl(B,A),relation_dom(A))&sK1_skl(B,A)=apply(A,sK2_skl(B,A)))))))))),
% 69.24/9.84 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(D,sK0_skl(C,B,A)),skolemize(C,sK1_skl(B,A)),skolemize(D,sK2_skl(B,A))],[f49])).
% 69.24/9.84 fof(f51,plain,(
% 69.24/9.84 ![X0,X1,X2]: (~relation(X0)|~function(X0)|~X1=relation_rng(X0)|~in(X2,X1)|in(sK0_skl(X2,X1,X0),relation_dom(X0)))),
% 69.24/9.84 inference(cnf_transformation,[status(thm)],[f50])).
% 69.24/9.84 fof(f52,plain,(
% 69.24/9.84 ![X0,X1,X2]: (~relation(X0)|~function(X0)|~X1=relation_rng(X0)|~in(X2,X1)|X2=apply(X0,sK0_skl(X2,X1,X0)))),
% 69.24/9.84 inference(cnf_transformation,[status(thm)],[f50])).
% 69.24/9.84 fof(f118,plain,(
% 69.24/9.84 ![A,B]: ((~relation(B)|~function(B))|(![C]: ((~relation(C)|~function(C))|(~in(A,relation_dom(B))|apply(relation_composition(B,C),A)=apply(C,apply(B,A))))))),
% 69.24/9.84 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 69.24/9.84 fof(f119,plain,(
% 69.24/9.84 ![B]: ((~relation(B)|~function(B))|(![C]: ((~relation(C)|~function(C))|(![A]: (~in(A,relation_dom(B))|apply(relation_composition(B,C),A)=apply(C,apply(B,A)))))))),
% 69.24/9.84 inference(miniscoping,[status(thm)],[f118])).
% 69.24/9.84 fof(f120,plain,(
% 69.24/9.84 ![X0,X1,X2]: (~relation(X0)|~function(X0)|~relation(X1)|~function(X1)|~in(X2,relation_dom(X0))|apply(relation_composition(X0,X1),X2)=apply(X1,apply(X0,X2)))),
% 69.24/9.84 inference(cnf_transformation,[status(thm)],[f119])).
% 69.24/9.84 fof(f123,plain,(
% 69.24/9.84 ![A,B]: ((~relation(B)|~function(B))|(B=identity_relation(A)<=>(relation_dom(B)=A&(![C]: (~in(C,A)|apply(B,C)=C)))))),
% 69.24/9.84 inference(pre_NNF_transformation,[status(thm)],[f32])).
% 69.24/9.84 fof(f124,plain,(
% 69.24/9.84 ![A,B]: ((~relation(B)|~function(B))|((~B=identity_relation(A)|(relation_dom(B)=A&(![C]: (~in(C,A)|apply(B,C)=C))))&(B=identity_relation(A)|(~relation_dom(B)=A|(?[C]: (in(C,A)&~apply(B,C)=C))))))),
% 69.24/9.84 inference(NNF_transformation,[status(thm)],[f123])).
% 69.24/9.84 fof(f125,plain,(
% 69.24/9.84 ![B]: ((~relation(B)|~function(B))|((![A]: (~B=identity_relation(A)|(relation_dom(B)=A&(![C]: (~in(C,A)|apply(B,C)=C)))))&(![A]: (B=identity_relation(A)|(~relation_dom(B)=A|(?[C]: (in(C,A)&~apply(B,C)=C)))))))),
% 69.24/9.84 inference(miniscoping,[status(thm)],[f124])).
% 69.24/9.84 fof(f126,plain,(
% 69.24/9.84 ![B]: ((~relation(B)|~function(B))|((![A]: (~B=identity_relation(A)|(relation_dom(B)=A&(![C]: (~in(C,A)|apply(B,C)=C)))))&(![A]: (B=identity_relation(A)|(~relation_dom(B)=A|(in(sK12_skl(A,B),A)&~apply(B,sK12_skl(A,B))=sK12_skl(A,B)))))))),
% 69.24/9.84 inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl]),skolemize(C,sK12_skl(A,B))],[f125])).
% 69.24/9.84 fof(f129,plain,(
% 69.24/9.84 ![X0,X1]: (~relation(X0)|~function(X0)|X0=identity_relation(X1)|~relation_dom(X0)=X1|in(sK12_skl(X1,X0),X1))),
% 69.24/9.84 inference(cnf_transformation,[status(thm)],[f126])).
% 69.24/9.84 fof(f130,plain,(
% 69.24/9.84 ![X0,X1]: (~relation(X0)|~function(X0)|X0=identity_relation(X1)|~relation_dom(X0)=X1|~apply(X0,sK12_skl(X1,X0))=sK12_skl(X1,X0))),
% 69.24/9.84 inference(cnf_transformation,[status(thm)],[f126])).
% 69.24/9.84 fof(f135,plain,(
% 69.24/9.84 (?[A]: ((relation(A)&function(A))&(?[B]: ((relation(B)&function(B))&((relation_rng(A)=relation_dom(B)&relation_composition(A,B)=A)&~B=identity_relation(relation_dom(B)))))))),
% 69.24/9.84 inference(pre_NNF_transformation,[status(thm)],[f35])).
% 69.24/9.84 fof(f136,plain,(
% 69.24/9.84 ((relation(sK13_skl)&function(sK13_skl))&((relation(sK14_skl)&function(sK14_skl))&((relation_rng(sK13_skl)=relation_dom(sK14_skl)&relation_composition(sK13_skl,sK14_skl)=sK13_skl)&~sK14_skl=identity_relation(relation_dom(sK14_skl)))))),
% 69.24/9.84 inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl,sK14_skl]),skolemize(A,sK13_skl),skolemize(B,sK14_skl)],[f135])).
% 69.24/9.84 fof(f137,plain,(
% 69.24/9.84 relation(sK13_skl)),
% 69.24/9.84 inference(cnf_transformation,[status(thm)],[f136])).
% 69.24/9.84 fof(f138,plain,(
% 69.24/9.84 function(sK13_skl)),
% 69.24/9.84 inference(cnf_transformation,[status(thm)],[f136])).
% 69.24/9.84 fof(f139,plain,(
% 69.24/9.84 relation(sK14_skl)),
% 69.24/9.84 inference(cnf_transformation,[status(thm)],[f136])).
% 69.24/9.84 fof(f140,plain,(
% 69.24/9.84 function(sK14_skl)),
% 69.24/9.84 inference(cnf_transformation,[status(thm)],[f136])).
% 69.24/9.84 fof(f141,plain,(
% 69.24/9.84 relation_rng(sK13_skl)=relation_dom(sK14_skl)),
% 69.24/9.84 inference(cnf_transformation,[status(thm)],[f136])).
% 69.24/9.84 fof(f142,plain,(
% 69.24/9.84 relation_composition(sK13_skl,sK14_skl)=sK13_skl),
% 69.24/9.84 inference(cnf_transformation,[status(thm)],[f136])).
% 69.24/9.84 fof(f143,plain,(
% 69.24/9.84 ~sK14_skl=identity_relation(relation_dom(sK14_skl))),
% 69.24/9.84 inference(cnf_transformation,[status(thm)],[f136])).
% 69.24/9.84 fof(f158,plain,(
% 69.24/9.84 ![X0,X1]: (~relation(X0)|~function(X0)|~in(X1,relation_rng(X0))|in(sK0_skl(X1,relation_rng(X0),X0),relation_dom(X0)))),
% 69.24/9.84 inference(destructive_equality_resolution,[status(thm)],[f51])).
% 69.24/9.84 fof(f159,plain,(
% 69.24/9.84 ![X0,X1]: (~relation(X0)|~function(X0)|~in(X1,relation_rng(X0))|X1=apply(X0,sK0_skl(X1,relation_rng(X0),X0)))),
% 69.24/9.84 inference(destructive_equality_resolution,[status(thm)],[f52])).
% 69.24/9.84 fof(f165,plain,(
% 69.24/9.84 ![X0]: (~relation(X0)|~function(X0)|X0=identity_relation(relation_dom(X0))|in(sK12_skl(relation_dom(X0),X0),relation_dom(X0)))),
% 69.24/9.84 inference(destructive_equality_resolution,[status(thm)],[f129])).
% 69.24/9.84 fof(f166,plain,(
% 69.24/9.84 ![X0]: (~relation(X0)|~function(X0)|X0=identity_relation(relation_dom(X0))|~apply(X0,sK12_skl(relation_dom(X0),X0))=sK12_skl(relation_dom(X0),X0))),
% 69.24/9.84 inference(destructive_equality_resolution,[status(thm)],[f130])).
% 69.24/9.84 fof(f167,plain,(
% 69.24/9.84 ~sK14_skl=identity_relation(relation_rng(sK13_skl))),
% 69.24/9.84 inference(forward_demodulation,[status(thm)],[f141,f143])).
% 69.24/9.84 fof(f266,plain,(
% 69.24/9.84 ![X0,X1]: (~relation(X0)|~function(X0)|~relation(sK14_skl)|~in(X1,relation_dom(X0))|apply(relation_composition(X0,sK14_skl),X1)=apply(sK14_skl,apply(X0,X1)))),
% 69.24/9.84 inference(resolution,[status(thm)],[f120,f140])).
% 69.24/9.84 fof(f272,plain,(
% 69.24/9.84 ![X0,X1]: (~relation(X0)|~function(X0)|~in(X1,relation_dom(X0))|apply(relation_composition(X0,sK14_skl),X1)=apply(sK14_skl,apply(X0,X1)))),
% 69.24/9.84 inference(forward_subsumption_resolution,[status(thm)],[f266,f139])).
% 69.24/9.84 fof(f312,plain,(
% 69.24/9.84 ![X0]: (~relation(sK13_skl)|~in(X0,relation_dom(sK13_skl))|apply(relation_composition(sK13_skl,sK14_skl),X0)=apply(sK14_skl,apply(sK13_skl,X0)))),
% 69.24/9.84 inference(resolution,[status(thm)],[f272,f138])).
% 69.24/9.84 fof(f320,plain,(
% 69.24/9.84 ![X0]: (~relation(sK13_skl)|~in(X0,relation_dom(sK13_skl))|apply(sK13_skl,X0)=apply(sK14_skl,apply(sK13_skl,X0)))),
% 69.24/9.84 inference(forward_demodulation,[status(thm)],[f142,f312])).
% 69.24/9.84 fof(f321,plain,(
% 69.24/9.84 ![X0]: (~in(X0,relation_dom(sK13_skl))|apply(sK13_skl,X0)=apply(sK14_skl,apply(sK13_skl,X0)))),
% 69.24/9.84 inference(forward_subsumption_resolution,[status(thm)],[f320,f137])).
% 69.24/9.84 fof(f377,plain,(
% 69.24/9.84 ~relation(sK14_skl)|sK14_skl=identity_relation(relation_dom(sK14_skl))|in(sK12_skl(relation_dom(sK14_skl),sK14_skl),relation_dom(sK14_skl))),
% 73.09/9.84 inference(resolution,[status(thm)],[f165,f140])).
% 73.09/9.84 fof(f383,plain,(
% 73.09/9.84 ~relation(sK14_skl)|sK14_skl=identity_relation(relation_rng(sK13_skl))|in(sK12_skl(relation_dom(sK14_skl),sK14_skl),relation_dom(sK14_skl))),
% 73.09/9.84 inference(forward_demodulation,[status(thm)],[f141,f377])).
% 73.09/9.84 fof(f384,plain,(
% 73.09/9.84 ~relation(sK14_skl)|sK14_skl=identity_relation(relation_rng(sK13_skl))|in(sK12_skl(relation_rng(sK13_skl),sK14_skl),relation_dom(sK14_skl))),
% 73.09/9.84 inference(forward_demodulation,[status(thm)],[f141,f383])).
% 73.09/9.84 fof(f385,plain,(
% 73.09/9.84 ~relation(sK14_skl)|sK14_skl=identity_relation(relation_rng(sK13_skl))|in(sK12_skl(relation_rng(sK13_skl),sK14_skl),relation_rng(sK13_skl))),
% 73.09/9.84 inference(forward_demodulation,[status(thm)],[f141,f384])).
% 73.09/9.84 fof(f386,plain,(
% 73.09/9.84 sK14_skl=identity_relation(relation_rng(sK13_skl))|in(sK12_skl(relation_rng(sK13_skl),sK14_skl),relation_rng(sK13_skl))),
% 73.09/9.84 inference(forward_subsumption_resolution,[status(thm)],[f385,f139])).
% 73.09/9.84 fof(f391,plain,(
% 73.09/9.84 ~relation(sK14_skl)|~function(sK14_skl)|sK14_skl=identity_relation(relation_dom(sK14_skl))|~apply(sK14_skl,sK12_skl(relation_rng(sK13_skl),sK14_skl))=sK12_skl(relation_dom(sK14_skl),sK14_skl)),
% 73.09/9.84 inference(paramodulation,[status(thm)],[f141,f166])).
% 73.09/9.84 fof(f393,plain,(
% 73.09/9.84 ~relation(sK14_skl)|~function(sK14_skl)|sK14_skl=identity_relation(relation_rng(sK13_skl))|~apply(sK14_skl,sK12_skl(relation_rng(sK13_skl),sK14_skl))=sK12_skl(relation_dom(sK14_skl),sK14_skl)),
% 73.09/9.84 inference(forward_demodulation,[status(thm)],[f141,f391])).
% 73.09/9.84 fof(f394,plain,(
% 73.09/9.84 ~relation(sK14_skl)|~function(sK14_skl)|sK14_skl=identity_relation(relation_rng(sK13_skl))|~apply(sK14_skl,sK12_skl(relation_rng(sK13_skl),sK14_skl))=sK12_skl(relation_rng(sK13_skl),sK14_skl)),
% 73.09/9.84 inference(forward_demodulation,[status(thm)],[f141,f393])).
% 73.09/9.84 fof(f395,plain,(
% 73.09/9.84 ~function(sK14_skl)|sK14_skl=identity_relation(relation_rng(sK13_skl))|~apply(sK14_skl,sK12_skl(relation_rng(sK13_skl),sK14_skl))=sK12_skl(relation_rng(sK13_skl),sK14_skl)),
% 73.09/9.84 inference(forward_subsumption_resolution,[status(thm)],[f394,f139])).
% 73.09/9.84 fof(f507,plain,(
% 73.09/9.84 sK14_skl=identity_relation(relation_rng(sK13_skl))|~relation(sK13_skl)|~function(sK13_skl)|sK12_skl(relation_rng(sK13_skl),sK14_skl)=apply(sK13_skl,sK0_skl(sK12_skl(relation_rng(sK13_skl),sK14_skl),relation_rng(sK13_skl),sK13_skl))),
% 73.09/9.84 inference(resolution,[status(thm)],[f386,f159])).
% 73.09/9.84 fof(f508,plain,(
% 73.09/9.84 sK14_skl=identity_relation(relation_rng(sK13_skl))|~relation(sK13_skl)|~function(sK13_skl)|in(sK0_skl(sK12_skl(relation_rng(sK13_skl),sK14_skl),relation_rng(sK13_skl),sK13_skl),relation_dom(sK13_skl))),
% 73.09/9.84 inference(resolution,[status(thm)],[f386,f158])).
% 73.09/9.84 fof(f511,plain,(
% 73.09/9.84 ~relation(sK13_skl)|~function(sK13_skl)|sK12_skl(relation_rng(sK13_skl),sK14_skl)=apply(sK13_skl,sK0_skl(sK12_skl(relation_rng(sK13_skl),sK14_skl),relation_rng(sK13_skl),sK13_skl))),
% 73.09/9.84 inference(forward_subsumption_resolution,[status(thm)],[f507,f167])).
% 73.09/9.84 fof(f512,plain,(
% 73.09/9.84 ~relation(sK13_skl)|~function(sK13_skl)|in(sK0_skl(sK12_skl(relation_rng(sK13_skl),sK14_skl),relation_rng(sK13_skl),sK13_skl),relation_dom(sK13_skl))),
% 73.09/9.92 inference(forward_subsumption_resolution,[status(thm)],[f508,f167])).
% 73.09/9.92 fof(f883,plain,(
% 73.09/9.92 sK14_skl=identity_relation(relation_rng(sK13_skl))|~apply(sK14_skl,sK12_skl(relation_rng(sK13_skl),sK14_skl))=sK12_skl(relation_rng(sK13_skl),sK14_skl)),
% 73.09/9.92 inference(resolution,[status(thm)],[f395,f140])).
% 73.09/9.92 fof(f885,plain,(
% 73.09/9.92 ~apply(sK14_skl,sK12_skl(relation_rng(sK13_skl),sK14_skl))=sK12_skl(relation_rng(sK13_skl),sK14_skl)),
% 73.09/9.92 inference(forward_subsumption_resolution,[status(thm)],[f883,f167])).
% 73.09/9.92 fof(f2673,plain,(
% 73.09/9.92 ~function(sK13_skl)|sK12_skl(relation_rng(sK13_skl),sK14_skl)=apply(sK13_skl,sK0_skl(sK12_skl(relation_rng(sK13_skl),sK14_skl),relation_rng(sK13_skl),sK13_skl))),
% 73.09/9.92 inference(resolution,[status(thm)],[f511,f137])).
% 73.09/9.92 fof(f2676,plain,(
% 73.09/9.92 sK12_skl(relation_rng(sK13_skl),sK14_skl)=apply(sK13_skl,sK0_skl(sK12_skl(relation_rng(sK13_skl),sK14_skl),relation_rng(sK13_skl),sK13_skl))),
% 73.09/9.92 inference(forward_subsumption_resolution,[status(thm)],[f2673,f138])).
% 73.09/9.92 fof(f2722,plain,(
% 73.09/9.92 ~function(sK13_skl)|in(sK0_skl(sK12_skl(relation_rng(sK13_skl),sK14_skl),relation_rng(sK13_skl),sK13_skl),relation_dom(sK13_skl))),
% 73.09/9.92 inference(resolution,[status(thm)],[f512,f137])).
% 73.09/9.92 fof(f2724,plain,(
% 73.09/9.92 in(sK0_skl(sK12_skl(relation_rng(sK13_skl),sK14_skl),relation_rng(sK13_skl),sK13_skl),relation_dom(sK13_skl))),
% 73.09/9.92 inference(forward_subsumption_resolution,[status(thm)],[f2722,f138])).
% 73.09/9.92 fof(f7282,plain,(
% 73.09/9.92 apply(sK13_skl,sK0_skl(sK12_skl(relation_rng(sK13_skl),sK14_skl),relation_rng(sK13_skl),sK13_skl))=apply(sK14_skl,apply(sK13_skl,sK0_skl(sK12_skl(relation_rng(sK13_skl),sK14_skl),relation_rng(sK13_skl),sK13_skl)))),
% 73.09/9.92 inference(resolution,[status(thm)],[f2724,f321])).
% 73.09/9.92 fof(f7293,plain,(
% 73.09/9.92 sK12_skl(relation_rng(sK13_skl),sK14_skl)=apply(sK14_skl,apply(sK13_skl,sK0_skl(sK12_skl(relation_rng(sK13_skl),sK14_skl),relation_rng(sK13_skl),sK13_skl)))),
% 73.09/9.92 inference(forward_demodulation,[status(thm)],[f2676,f7282])).
% 73.09/9.92 fof(f7294,plain,(
% 73.09/9.92 sK12_skl(relation_rng(sK13_skl),sK14_skl)=apply(sK14_skl,sK12_skl(relation_rng(sK13_skl),sK14_skl))),
% 73.09/9.92 inference(forward_demodulation,[status(thm)],[f2676,f7293])).
% 73.09/9.92 fof(f7295,plain,(
% 73.09/9.92 $false),
% 73.09/9.92 inference(forward_subsumption_resolution,[status(thm)],[f7294,f885])).
% 73.09/9.92 % SZS output end CNFRefutation for theBenchmark.p
% 31.98/9.97 % Elapsed time: 9.497555 seconds
% 31.98/9.97 % CPU time: 74.589760 seconds
% 31.98/9.97 % Total memory used: 526.915 MB
% 31.98/9.97 % Net memory used: 502.685 MB
%------------------------------------------------------------------------------