%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU214+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 02:22:00 PM UTC 2026
% Result : Theorem 226.54s 29.31s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU214+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.61 % Computer : n013.cluster.edu
% 0.15/0.61 % Model : x86_64 x86_64
% 0.15/0.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.61 % Memory : 8046.5625MB
% 0.15/0.61 % OS : Linux 6.8.0-71-generic
% 0.15/0.61 % CPULimit : 300
% 0.15/0.61 % WCLimit : 300
% 0.15/0.61 % DateTime : Mon Sep 21 05:58:21 UTC 2026
% 0.15/0.62 % CPUTime :
% 0.15/0.63 % Drodi V4.1.1
% 226.54/29.31 % Refutation found
% 226.54/29.31 % SZS status Theorem for theBenchmark: Theorem is valid
% 226.54/29.31 % SZS output start CNFRefutation for theBenchmark
% 226.54/29.31 fof(f5,axiom,(
% 226.54/29.31 (! [A] :( ( relation(A)& function(A) )=> (! [B,C] :( ( in(B,relation_dom(A))=> ( C = apply(A,B)<=> in(ordered_pair(B,C),A) ) )& ( ~ in(B,relation_dom(A))=> ( C = apply(A,B)<=> C = empty_set ) ) ) )) )),
% 226.54/29.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 226.54/29.31 fof(f6,axiom,(
% 226.54/29.31 (! [A] :( relation(A)=> (! [B] :( B = relation_dom(A)<=> (! [C] :( in(C,B)<=> (? [D] : in(ordered_pair(C,D),A) )) )) )) )),
% 226.54/29.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 226.54/29.31 fof(f8,axiom,(
% 226.54/29.31 (! [A] :( relation(A)=> (! [B] :( relation(B)=> (! [C] :( relation(C)=> ( C = relation_composition(A,B)<=> (! [D,E] :( in(ordered_pair(D,E),C)<=> (? [F] :( in(ordered_pair(D,F),A)& in(ordered_pair(F,E),B) ) )) )) ) )) )) )),
% 226.54/29.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 226.54/29.31 fof(f9,axiom,(
% 226.54/29.31 (! [A,B] :( ( relation(A)& relation(B) )=> relation(relation_composition(A,B)) ) )),
% 226.54/29.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 226.54/29.31 fof(f13,axiom,(
% 226.54/29.31 (! [A,B] :( ( relation(A)& function(A)& relation(B)& function(B) )=> ( relation(relation_composition(A,B))& function(relation_composition(A,B)) ) ) )),
% 226.54/29.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 226.54/29.31 fof(f33,conjecture,(
% 226.54/29.31 (! [A,B] :( ( relation(B)& function(B) )=> (! [C] :( ( relation(C)& function(C) )=> ( in(A,relation_dom(relation_composition(C,B)))=> apply(relation_composition(C,B),A) = apply(B,apply(C,A)) ) ) )) )),
% 226.54/29.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 226.54/29.31 fof(f34,negated_conjecture,(
% 226.54/29.31 ~((! [A,B] :( ( relation(B)& function(B) )=> (! [C] :( ( relation(C)& function(C) )=> ( in(A,relation_dom(relation_composition(C,B)))=> apply(relation_composition(C,B),A) = apply(B,apply(C,A)) ) ) )) ))),
% 226.54/29.31 inference(negated_conjecture,[status(cth)],[f33])).
% 226.54/29.31 fof(f49,plain,(
% 226.54/29.31 ![A]: ((~relation(A)|~function(A))|(![B,C]: ((~in(B,relation_dom(A))|(C=apply(A,B)<=>in(ordered_pair(B,C),A)))&(in(B,relation_dom(A))|(C=apply(A,B)<=>C=empty_set)))))),
% 226.54/29.31 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 226.54/29.31 fof(f50,plain,(
% 226.54/29.31 ![A]: ((~relation(A)|~function(A))|(![B,C]: ((~in(B,relation_dom(A))|((~C=apply(A,B)|in(ordered_pair(B,C),A))&(C=apply(A,B)|~in(ordered_pair(B,C),A))))&(in(B,relation_dom(A))|((~C=apply(A,B)|C=empty_set)&(C=apply(A,B)|~C=empty_set))))))),
% 226.54/29.31 inference(NNF_transformation,[status(thm)],[f49])).
% 226.54/29.31 fof(f51,plain,(
% 226.54/29.31 ![A]: ((~relation(A)|~function(A))|((![B]: (~in(B,relation_dom(A))|((![C]: (~C=apply(A,B)|in(ordered_pair(B,C),A)))&(![C]: (C=apply(A,B)|~in(ordered_pair(B,C),A))))))&(![B]: (in(B,relation_dom(A))|((![C]: (~C=apply(A,B)|C=empty_set))&(![C]: (C=apply(A,B)|~C=empty_set)))))))),
% 226.54/29.31 inference(miniscoping,[status(thm)],[f50])).
% 226.54/29.31 fof(f53,plain,(
% 226.54/29.31 ![X0,X1,X2]: (~relation(X0)|~function(X0)|~in(X1,relation_dom(X0))|X2=apply(X0,X1)|~in(ordered_pair(X1,X2),X0))),
% 226.54/29.31 inference(cnf_transformation,[status(thm)],[f51])).
% 226.54/29.31 fof(f56,plain,(
% 226.54/29.31 ![A]: (~relation(A)|(![B]: (B=relation_dom(A)<=>(![C]: (in(C,B)<=>(?[D]: in(ordered_pair(C,D),A)))))))),
% 226.54/29.31 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 226.54/29.31 fof(f57,plain,(
% 226.54/29.31 ![A]: (~relation(A)|(![B]: ((~B=relation_dom(A)|(![C]: ((~in(C,B)|(?[D]: in(ordered_pair(C,D),A)))&(in(C,B)|(![D]: ~in(ordered_pair(C,D),A))))))&(B=relation_dom(A)|(?[C]: ((~in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))&(in(C,B)|(?[D]: in(ordered_pair(C,D),A)))))))))),
% 226.54/29.31 inference(NNF_transformation,[status(thm)],[f56])).
% 226.54/29.31 fof(f58,plain,(
% 226.54/29.31 ![A]: (~relation(A)|((![B]: (~B=relation_dom(A)|((![C]: (~in(C,B)|(?[D]: in(ordered_pair(C,D),A))))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))))))&(![B]: (B=relation_dom(A)|(?[C]: ((~in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))&(in(C,B)|(?[D]: in(ordered_pair(C,D),A)))))))))),
% 226.54/29.31 inference(miniscoping,[status(thm)],[f57])).
% 226.54/29.31 fof(f59,plain,(
% 226.54/29.31 ![A]: (~relation(A)|((![B]: (~B=relation_dom(A)|((![C]: (~in(C,B)|in(ordered_pair(C,sK0_skl(C,B,A)),A)))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))))))&(![B]: (B=relation_dom(A)|((~in(sK1_skl(B,A),B)|(![D]: ~in(ordered_pair(sK1_skl(B,A),D),A)))&(in(sK1_skl(B,A),B)|in(ordered_pair(sK1_skl(B,A),sK2_skl(B,A)),A)))))))),
% 227.44/29.32 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))],[f58])).
% 227.44/29.32 fof(f60,plain,(
% 227.44/29.32 ![X0,X1,X2]: (~relation(X0)|~X1=relation_dom(X0)|~in(X2,X1)|in(ordered_pair(X2,sK0_skl(X2,X1,X0)),X0))),
% 227.44/29.32 inference(cnf_transformation,[status(thm)],[f59])).
% 227.44/29.32 fof(f61,plain,(
% 227.44/29.32 ![X0,X1,X2,X3]: (~relation(X0)|~X1=relation_dom(X0)|in(X2,X1)|~in(ordered_pair(X2,X3),X0))),
% 227.44/29.32 inference(cnf_transformation,[status(thm)],[f59])).
% 227.44/29.32 fof(f65,plain,(
% 227.44/29.32 ![A]: (~relation(A)|(![B]: (~relation(B)|(![C]: (~relation(C)|(C=relation_composition(A,B)<=>(![D,E]: (in(ordered_pair(D,E),C)<=>(?[F]: (in(ordered_pair(D,F),A)&in(ordered_pair(F,E),B)))))))))))),
% 227.44/29.32 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 227.44/29.32 fof(f66,plain,(
% 227.44/29.32 ![A]: (~relation(A)|(![B]: (~relation(B)|(![C]: (~relation(C)|((~C=relation_composition(A,B)|(![D,E]: ((~in(ordered_pair(D,E),C)|(?[F]: (in(ordered_pair(D,F),A)&in(ordered_pair(F,E),B))))&(in(ordered_pair(D,E),C)|(![F]: (~in(ordered_pair(D,F),A)|~in(ordered_pair(F,E),B)))))))&(C=relation_composition(A,B)|(?[D,E]: ((~in(ordered_pair(D,E),C)|(![F]: (~in(ordered_pair(D,F),A)|~in(ordered_pair(F,E),B))))&(in(ordered_pair(D,E),C)|(?[F]: (in(ordered_pair(D,F),A)&in(ordered_pair(F,E),B)))))))))))))),
% 227.44/29.32 inference(NNF_transformation,[status(thm)],[f65])).
% 227.44/29.32 fof(f67,plain,(
% 227.44/29.32 ![A]: (~relation(A)|(![B]: (~relation(B)|(![C]: (~relation(C)|((~C=relation_composition(A,B)|((![D,E]: (~in(ordered_pair(D,E),C)|(?[F]: (in(ordered_pair(D,F),A)&in(ordered_pair(F,E),B)))))&(![D,E]: (in(ordered_pair(D,E),C)|(![F]: (~in(ordered_pair(D,F),A)|~in(ordered_pair(F,E),B)))))))&(C=relation_composition(A,B)|(?[D,E]: ((~in(ordered_pair(D,E),C)|(![F]: (~in(ordered_pair(D,F),A)|~in(ordered_pair(F,E),B))))&(in(ordered_pair(D,E),C)|(?[F]: (in(ordered_pair(D,F),A)&in(ordered_pair(F,E),B)))))))))))))),
% 227.44/29.32 inference(miniscoping,[status(thm)],[f66])).
% 227.44/29.32 fof(f68,plain,(
% 227.44/29.32 ![A]: (~relation(A)|(![B]: (~relation(B)|(![C]: (~relation(C)|((~C=relation_composition(A,B)|((![D,E]: (~in(ordered_pair(D,E),C)|(in(ordered_pair(D,sK3_skl(E,D,C,B,A)),A)&in(ordered_pair(sK3_skl(E,D,C,B,A),E),B))))&(![D,E]: (in(ordered_pair(D,E),C)|(![F]: (~in(ordered_pair(D,F),A)|~in(ordered_pair(F,E),B)))))))&(C=relation_composition(A,B)|((~in(ordered_pair(sK4_skl(C,B,A),sK5_skl(C,B,A)),C)|(![F]: (~in(ordered_pair(sK4_skl(C,B,A),F),A)|~in(ordered_pair(F,sK5_skl(C,B,A)),B))))&(in(ordered_pair(sK4_skl(C,B,A),sK5_skl(C,B,A)),C)|(in(ordered_pair(sK4_skl(C,B,A),sK6_skl(C,B,A)),A)&in(ordered_pair(sK6_skl(C,B,A),sK5_skl(C,B,A)),B)))))))))))),
% 227.44/29.32 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl,sK6_skl]),skolemize(F,sK3_skl(E,D,C,B,A)),skolemize(D,sK4_skl(C,B,A)),skolemize(E,sK5_skl(C,B,A)),skolemize(F,sK6_skl(C,B,A))],[f67])).
% 227.44/29.32 fof(f69,plain,(
% 227.44/29.32 ![X0,X1,X2,X3,X4]: (~relation(X0)|~relation(X1)|~relation(X2)|~X2=relation_composition(X0,X1)|~in(ordered_pair(X3,X4),X2)|in(ordered_pair(X3,sK3_skl(X4,X3,X2,X1,X0)),X0))),
% 227.44/29.32 inference(cnf_transformation,[status(thm)],[f68])).
% 227.44/29.32 fof(f70,plain,(
% 227.44/29.32 ![X0,X1,X2,X3,X4]: (~relation(X0)|~relation(X1)|~relation(X2)|~X2=relation_composition(X0,X1)|~in(ordered_pair(X3,X4),X2)|in(ordered_pair(sK3_skl(X4,X3,X2,X1,X0),X4),X1))),
% 227.44/29.32 inference(cnf_transformation,[status(thm)],[f68])).
% 227.44/29.32 fof(f75,plain,(
% 227.44/29.32 ![A,B]: ((~relation(A)|~relation(B))|relation(relation_composition(A,B)))),
% 227.44/29.32 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 227.44/29.32 fof(f76,plain,(
% 227.44/29.32 ![X0,X1]: (~relation(X0)|~relation(X1)|relation(relation_composition(X0,X1)))),
% 227.44/29.32 inference(cnf_transformation,[status(thm)],[f75])).
% 227.44/29.32 fof(f85,plain,(
% 227.44/29.32 ![A,B]: ((((~relation(A)|~function(A))|~relation(B))|~function(B))|(relation(relation_composition(A,B))&function(relation_composition(A,B))))),
% 227.44/29.32 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 227.44/29.32 fof(f87,plain,(
% 227.44/29.32 ![X0,X1]: (~relation(X0)|~function(X0)|~relation(X1)|~function(X1)|function(relation_composition(X0,X1)))),
% 227.44/29.32 inference(cnf_transformation,[status(thm)],[f85])).
% 227.44/29.32 fof(f130,plain,(
% 227.44/29.32 (?[A,B]: ((relation(B)&function(B))&(?[C]: ((relation(C)&function(C))&(in(A,relation_dom(relation_composition(C,B)))&~apply(relation_composition(C,B),A)=apply(B,apply(C,A)))))))),
% 227.44/29.32 inference(pre_NNF_transformation,[status(thm)],[f34])).
% 227.44/29.32 fof(f131,plain,(
% 227.44/29.32 ?[B]: ((relation(B)&function(B))&(?[C]: ((relation(C)&function(C))&(?[A]: (in(A,relation_dom(relation_composition(C,B)))&~apply(relation_composition(C,B),A)=apply(B,apply(C,A)))))))),
% 227.44/29.32 inference(miniscoping,[status(thm)],[f130])).
% 227.44/29.32 fof(f132,plain,(
% 227.44/29.32 ((relation(sK16_skl)&function(sK16_skl))&((relation(sK17_skl)&function(sK17_skl))&(in(sK18_skl,relation_dom(relation_composition(sK17_skl,sK16_skl)))&~apply(relation_composition(sK17_skl,sK16_skl),sK18_skl)=apply(sK16_skl,apply(sK17_skl,sK18_skl)))))),
% 227.44/29.32 inference(skolemize,[status(esa),new_symbols(skolem,[sK16_skl,sK17_skl,sK18_skl]),skolemize(B,sK16_skl),skolemize(C,sK17_skl),skolemize(A,sK18_skl)],[f131])).
% 227.44/29.32 fof(f133,plain,(
% 227.44/29.32 relation(sK16_skl)),
% 227.44/29.32 inference(cnf_transformation,[status(thm)],[f132])).
% 227.44/29.32 fof(f134,plain,(
% 227.44/29.32 function(sK16_skl)),
% 227.44/29.32 inference(cnf_transformation,[status(thm)],[f132])).
% 227.44/29.32 fof(f135,plain,(
% 227.44/29.32 relation(sK17_skl)),
% 227.44/29.32 inference(cnf_transformation,[status(thm)],[f132])).
% 227.44/29.32 fof(f136,plain,(
% 227.44/29.32 function(sK17_skl)),
% 227.44/29.32 inference(cnf_transformation,[status(thm)],[f132])).
% 227.44/29.32 fof(f137,plain,(
% 227.44/29.32 in(sK18_skl,relation_dom(relation_composition(sK17_skl,sK16_skl)))),
% 227.44/29.32 inference(cnf_transformation,[status(thm)],[f132])).
% 227.44/29.32 fof(f138,plain,(
% 227.44/29.32 ~apply(relation_composition(sK17_skl,sK16_skl),sK18_skl)=apply(sK16_skl,apply(sK17_skl,sK18_skl))),
% 227.44/29.32 inference(cnf_transformation,[status(thm)],[f132])).
% 227.44/29.32 fof(f162,plain,(
% 227.44/29.32 ![X0,X1]: (~relation(X0)|~in(X1,relation_dom(X0))|in(ordered_pair(X1,sK0_skl(X1,relation_dom(X0),X0)),X0))),
% 227.44/29.32 inference(destructive_equality_resolution,[status(thm)],[f60])).
% 227.44/29.32 fof(f163,plain,(
% 227.44/29.32 ![X0,X1,X2]: (~relation(X0)|in(X1,relation_dom(X0))|~in(ordered_pair(X1,X2),X0))),
% 227.44/29.32 inference(destructive_equality_resolution,[status(thm)],[f61])).
% 227.44/29.32 fof(f164,plain,(
% 227.44/29.32 ![X0,X1,X2,X3]: (~relation(X0)|~relation(X1)|~relation(relation_composition(X0,X1))|~in(ordered_pair(X2,X3),relation_composition(X0,X1))|in(ordered_pair(X2,sK3_skl(X3,X2,relation_composition(X0,X1),X1,X0)),X0))),
% 227.44/29.32 inference(destructive_equality_resolution,[status(thm)],[f69])).
% 227.44/29.32 fof(f165,plain,(
% 227.44/29.32 ![X0,X1,X2,X3]: (~relation(X0)|~relation(X1)|~relation(relation_composition(X0,X1))|~in(ordered_pair(X2,X3),relation_composition(X0,X1))|in(ordered_pair(sK3_skl(X3,X2,relation_composition(X0,X1),X1,X0),X3),X1))),
% 227.44/29.32 inference(destructive_equality_resolution,[status(thm)],[f70])).
% 227.44/29.32 fof(f168,plain,(
% 227.44/29.32 ![X0]: (~relation(X0)|relation(relation_composition(sK17_skl,X0)))),
% 227.44/29.32 inference(resolution,[status(thm)],[f76,f135])).
% 227.44/29.32 fof(f171,plain,(
% 227.44/29.32 relation(relation_composition(sK17_skl,sK16_skl))),
% 227.44/29.32 inference(resolution,[status(thm)],[f168,f133])).
% 227.44/29.32 fof(f197,plain,(
% 227.44/29.32 ~relation(relation_composition(sK17_skl,sK16_skl))|in(ordered_pair(sK18_skl,sK0_skl(sK18_skl,relation_dom(relation_composition(sK17_skl,sK16_skl)),relation_composition(sK17_skl,sK16_skl))),relation_composition(sK17_skl,sK16_skl))),
% 227.44/29.32 inference(resolution,[status(thm)],[f162,f137])).
% 227.44/29.32 fof(f1050,plain,(
% 227.44/29.32 ![X0,X1,X2]: (~relation(X0)|~function(X0)|X1=apply(X0,X2)|~in(ordered_pair(X2,X1),X0))),
% 227.44/29.32 inference(backward_subsumption_resolution,[status(thm)],[f53,f163])).
% 227.44/29.32 fof(f1381,plain,(
% 227.44/29.32 ![X0,X1,X2,X3]: (~relation(X0)|~relation(X1)|~in(ordered_pair(X2,X3),relation_composition(X0,X1))|in(ordered_pair(X2,sK3_skl(X3,X2,relation_composition(X0,X1),X1,X0)),X0))),
% 227.44/29.32 inference(forward_subsumption_resolution,[status(thm)],[f164,f76])).
% 227.44/29.32 fof(f3264,plain,(
% 227.44/29.32 ![X0,X1,X2,X3]: (~relation(X0)|~relation(X1)|~in(ordered_pair(X2,X3),relation_composition(X0,X1))|in(ordered_pair(sK3_skl(X3,X2,relation_composition(X0,X1),X1,X0),X3),X1))),
% 227.44/29.32 inference(forward_subsumption_resolution,[status(thm)],[f165,f76])).
% 227.44/29.32 fof(f4262,plain,(
% 227.44/29.32 ![X0]: (~relation(sK17_skl)|~relation(X0)|~function(X0)|function(relation_composition(sK17_skl,X0)))),
% 227.44/29.32 inference(resolution,[status(thm)],[f87,f136])).
% 227.44/29.32 fof(f4266,plain,(
% 227.44/29.32 ![X0]: (~relation(X0)|~function(X0)|function(relation_composition(sK17_skl,X0)))),
% 227.44/29.32 inference(forward_subsumption_resolution,[status(thm)],[f4262,f135])).
% 227.44/29.32 fof(f5206,plain,(
% 227.44/29.32 in(ordered_pair(sK18_skl,sK0_skl(sK18_skl,relation_dom(relation_composition(sK17_skl,sK16_skl)),relation_composition(sK17_skl,sK16_skl))),relation_composition(sK17_skl,sK16_skl))),
% 227.44/29.32 inference(forward_subsumption_resolution,[status(thm)],[f197,f171])).
% 227.44/29.32 fof(f5207,plain,(
% 227.44/29.32 ~relation(sK17_skl)|~relation(sK16_skl)|in(ordered_pair(sK3_skl(sK0_skl(sK18_skl,relation_dom(relation_composition(sK17_skl,sK16_skl)),relation_composition(sK17_skl,sK16_skl)),sK18_skl,relation_composition(sK17_skl,sK16_skl),sK16_skl,sK17_skl),sK0_skl(sK18_skl,relation_dom(relation_composition(sK17_skl,sK16_skl)),relation_composition(sK17_skl,sK16_skl))),sK16_skl)),
% 227.44/29.32 inference(resolution,[status(thm)],[f5206,f3264])).
% 227.44/29.32 fof(f5208,plain,(
% 227.44/29.32 ~relation(sK17_skl)|~relation(sK16_skl)|in(ordered_pair(sK18_skl,sK3_skl(sK0_skl(sK18_skl,relation_dom(relation_composition(sK17_skl,sK16_skl)),relation_composition(sK17_skl,sK16_skl)),sK18_skl,relation_composition(sK17_skl,sK16_skl),sK16_skl,sK17_skl)),sK17_skl)),
% 227.44/29.32 inference(resolution,[status(thm)],[f5206,f1381])).
% 227.44/29.32 fof(f5220,plain,(
% 227.44/29.32 ~relation(sK16_skl)|in(ordered_pair(sK3_skl(sK0_skl(sK18_skl,relation_dom(relation_composition(sK17_skl,sK16_skl)),relation_composition(sK17_skl,sK16_skl)),sK18_skl,relation_composition(sK17_skl,sK16_skl),sK16_skl,sK17_skl),sK0_skl(sK18_skl,relation_dom(relation_composition(sK17_skl,sK16_skl)),relation_composition(sK17_skl,sK16_skl))),sK16_skl)),
% 227.44/29.32 inference(forward_subsumption_resolution,[status(thm)],[f5207,f135])).
% 227.44/29.32 fof(f5221,plain,(
% 227.44/29.32 ~relation(sK16_skl)|in(ordered_pair(sK18_skl,sK3_skl(sK0_skl(sK18_skl,relation_dom(relation_composition(sK17_skl,sK16_skl)),relation_composition(sK17_skl,sK16_skl)),sK18_skl,relation_composition(sK17_skl,sK16_skl),sK16_skl,sK17_skl)),sK17_skl)),
% 227.44/29.32 inference(forward_subsumption_resolution,[status(thm)],[f5208,f135])).
% 227.44/29.32 fof(f5589,plain,(
% 227.44/29.32 ~relation(relation_composition(sK17_skl,sK16_skl))|~function(relation_composition(sK17_skl,sK16_skl))|sK0_skl(sK18_skl,relation_dom(relation_composition(sK17_skl,sK16_skl)),relation_composition(sK17_skl,sK16_skl))=apply(relation_composition(sK17_skl,sK16_skl),sK18_skl)),
% 227.44/29.33 inference(resolution,[status(thm)],[f1050,f5206])).
% 227.44/29.33 fof(f5628,plain,(
% 227.44/29.33 ~function(relation_composition(sK17_skl,sK16_skl))|sK0_skl(sK18_skl,relation_dom(relation_composition(sK17_skl,sK16_skl)),relation_composition(sK17_skl,sK16_skl))=apply(relation_composition(sK17_skl,sK16_skl),sK18_skl)),
% 227.44/29.33 inference(forward_subsumption_resolution,[status(thm)],[f5589,f171])).
% 227.44/29.33 fof(f7271,plain,(
% 227.44/29.33 ~relation(sK16_skl)|function(relation_composition(sK17_skl,sK16_skl))),
% 227.44/29.33 inference(resolution,[status(thm)],[f4266,f134])).
% 227.44/29.33 fof(f7275,plain,(
% 227.44/29.33 function(relation_composition(sK17_skl,sK16_skl))),
% 227.44/29.33 inference(forward_subsumption_resolution,[status(thm)],[f7271,f133])).
% 227.44/29.33 fof(f19134,plain,(
% 227.44/29.33 in(ordered_pair(sK3_skl(sK0_skl(sK18_skl,relation_dom(relation_composition(sK17_skl,sK16_skl)),relation_composition(sK17_skl,sK16_skl)),sK18_skl,relation_composition(sK17_skl,sK16_skl),sK16_skl,sK17_skl),sK0_skl(sK18_skl,relation_dom(relation_composition(sK17_skl,sK16_skl)),relation_composition(sK17_skl,sK16_skl))),sK16_skl)),
% 227.44/29.33 inference(forward_subsumption_resolution,[status(thm)],[f5220,f133])).
% 227.44/29.33 fof(f19135,plain,(
% 227.44/29.33 ~relation(sK16_skl)|~function(sK16_skl)|sK0_skl(sK18_skl,relation_dom(relation_composition(sK17_skl,sK16_skl)),relation_composition(sK17_skl,sK16_skl))=apply(sK16_skl,sK3_skl(sK0_skl(sK18_skl,relation_dom(relation_composition(sK17_skl,sK16_skl)),relation_composition(sK17_skl,sK16_skl)),sK18_skl,relation_composition(sK17_skl,sK16_skl),sK16_skl,sK17_skl))),
% 227.44/29.33 inference(resolution,[status(thm)],[f19134,f1050])).
% 227.44/29.33 fof(f19147,plain,(
% 227.44/29.33 ~function(sK16_skl)|sK0_skl(sK18_skl,relation_dom(relation_composition(sK17_skl,sK16_skl)),relation_composition(sK17_skl,sK16_skl))=apply(sK16_skl,sK3_skl(sK0_skl(sK18_skl,relation_dom(relation_composition(sK17_skl,sK16_skl)),relation_composition(sK17_skl,sK16_skl)),sK18_skl,relation_composition(sK17_skl,sK16_skl),sK16_skl,sK17_skl))),
% 121.61/29.48 inference(forward_subsumption_resolution,[status(thm)],[f19135,f133])).
% 121.61/29.48 fof(f19156,plain,(
% 121.61/29.48 in(ordered_pair(sK18_skl,sK3_skl(sK0_skl(sK18_skl,relation_dom(relation_composition(sK17_skl,sK16_skl)),relation_composition(sK17_skl,sK16_skl)),sK18_skl,relation_composition(sK17_skl,sK16_skl),sK16_skl,sK17_skl)),sK17_skl)),
% 121.61/29.48 inference(forward_subsumption_resolution,[status(thm)],[f5221,f133])).
% 121.61/29.48 fof(f19157,plain,(
% 121.61/29.48 ~relation(sK17_skl)|~function(sK17_skl)|sK3_skl(sK0_skl(sK18_skl,relation_dom(relation_composition(sK17_skl,sK16_skl)),relation_composition(sK17_skl,sK16_skl)),sK18_skl,relation_composition(sK17_skl,sK16_skl),sK16_skl,sK17_skl)=apply(sK17_skl,sK18_skl)),
% 121.61/29.48 inference(resolution,[status(thm)],[f19156,f1050])).
% 121.61/29.48 fof(f19169,plain,(
% 121.61/29.48 ~function(sK17_skl)|sK3_skl(sK0_skl(sK18_skl,relation_dom(relation_composition(sK17_skl,sK16_skl)),relation_composition(sK17_skl,sK16_skl)),sK18_skl,relation_composition(sK17_skl,sK16_skl),sK16_skl,sK17_skl)=apply(sK17_skl,sK18_skl)),
% 121.61/29.48 inference(forward_subsumption_resolution,[status(thm)],[f19157,f135])).
% 121.61/29.48 fof(f20554,plain,(
% 121.61/29.48 sK0_skl(sK18_skl,relation_dom(relation_composition(sK17_skl,sK16_skl)),relation_composition(sK17_skl,sK16_skl))=apply(relation_composition(sK17_skl,sK16_skl),sK18_skl)),
% 121.61/29.48 inference(forward_subsumption_resolution,[status(thm)],[f5628,f7275])).
% 121.61/29.48 fof(f112721,plain,(
% 121.61/29.48 ~function(sK16_skl)|apply(relation_composition(sK17_skl,sK16_skl),sK18_skl)=apply(sK16_skl,sK3_skl(sK0_skl(sK18_skl,relation_dom(relation_composition(sK17_skl,sK16_skl)),relation_composition(sK17_skl,sK16_skl)),sK18_skl,relation_composition(sK17_skl,sK16_skl),sK16_skl,sK17_skl))),
% 121.61/29.48 inference(forward_demodulation,[status(thm)],[f20554,f19147])).
% 121.61/29.48 fof(f112722,plain,(
% 121.61/29.48 ~function(sK16_skl)|apply(relation_composition(sK17_skl,sK16_skl),sK18_skl)=apply(sK16_skl,sK3_skl(apply(relation_composition(sK17_skl,sK16_skl),sK18_skl),sK18_skl,relation_composition(sK17_skl,sK16_skl),sK16_skl,sK17_skl))),
% 121.61/29.48 inference(forward_demodulation,[status(thm)],[f20554,f112721])).
% 121.61/29.48 fof(f112723,plain,(
% 121.61/29.48 apply(relation_composition(sK17_skl,sK16_skl),sK18_skl)=apply(sK16_skl,sK3_skl(apply(relation_composition(sK17_skl,sK16_skl),sK18_skl),sK18_skl,relation_composition(sK17_skl,sK16_skl),sK16_skl,sK17_skl))),
% 121.61/29.48 inference(forward_subsumption_resolution,[status(thm)],[f112722,f134])).
% 121.61/29.48 fof(f121703,plain,(
% 121.61/29.48 ~function(sK17_skl)|sK3_skl(apply(relation_composition(sK17_skl,sK16_skl),sK18_skl),sK18_skl,relation_composition(sK17_skl,sK16_skl),sK16_skl,sK17_skl)=apply(sK17_skl,sK18_skl)),
% 121.61/29.48 inference(forward_demodulation,[status(thm)],[f20554,f19169])).
% 121.61/29.48 fof(f121708,plain,(
% 121.61/29.48 apply(relation_composition(sK17_skl,sK16_skl),sK18_skl)=apply(sK16_skl,apply(sK17_skl,sK18_skl))),
% 121.61/29.48 inference(backward_demodulation,[status(thm)],[f121711,f112723])).
% 121.61/29.48 fof(f121711,plain,(
% 121.61/29.48 sK3_skl(apply(relation_composition(sK17_skl,sK16_skl),sK18_skl),sK18_skl,relation_composition(sK17_skl,sK16_skl),sK16_skl,sK17_skl)=apply(sK17_skl,sK18_skl)),
% 121.61/29.48 inference(forward_subsumption_resolution,[status(thm)],[f121703,f136])).
% 121.61/29.48 fof(f121712,plain,(
% 121.61/29.48 $false),
% 121.61/29.48 inference(forward_subsumption_resolution,[status(thm)],[f121708,f138])).
% 121.61/29.48 % SZS output end CNFRefutation for theBenchmark.p
% 121.61/29.48 % Elapsed time: 28.843583 seconds
% 121.61/29.48 % CPU time: 228.351956 seconds
% 121.61/29.48 % Total memory used: 1.259 GB
% 121.61/29.48 % Net memory used: 1.177 GB
%------------------------------------------------------------------------------