TSTP Solution File: SEU191+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU191+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 20:41:25 EDT 2024
% Result : Theorem 0.16s 0.37s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : SEU191+1 : TPTP v8.1.2. Released v3.3.0.
% 0.02/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n027.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Mon Apr 29 20:17:31 EDT 2024
% 0.10/0.33 % CPUTime :
% 0.10/0.34 % Drodi V3.6.0
% 0.16/0.37 % Refutation found
% 0.16/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.37 fof(f4,axiom,(
% 0.16/0.37 (! [A,B] :( relation(B)=> ( B = identity_relation(A)<=> (! [C,D] :( in(ordered_pair(C,D),B)<=> ( in(C,A)& C = D ) ) )) ) )),
% 0.16/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.37 fof(f6,axiom,(
% 0.16/0.37 (! [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) ) )) )) ) )) )) )),
% 0.16/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.37 fof(f11,axiom,(
% 0.16/0.37 (! [A,B] :( ( relation(A)& relation(B) )=> relation(relation_composition(A,B)) ) )),
% 0.16/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.37 fof(f12,axiom,(
% 0.16/0.37 (! [A] : relation(identity_relation(A)) )),
% 0.16/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.37 fof(f29,conjecture,(
% 0.16/0.37 (! [A,B,C,D] :( relation(D)=> ( in(ordered_pair(A,B),relation_composition(identity_relation(C),D))<=> ( in(A,C)& in(ordered_pair(A,B),D) ) ) ) )),
% 0.16/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.37 fof(f30,negated_conjecture,(
% 0.16/0.37 ~((! [A,B,C,D] :( relation(D)=> ( in(ordered_pair(A,B),relation_composition(identity_relation(C),D))<=> ( in(A,C)& in(ordered_pair(A,B),D) ) ) ) ))),
% 0.16/0.37 inference(negated_conjecture,[status(cth)],[f29])).
% 0.16/0.37 fof(f38,plain,(
% 0.16/0.37 ![A,B]: (~relation(B)|(B=identity_relation(A)<=>(![C,D]: (in(ordered_pair(C,D),B)<=>(in(C,A)&C=D)))))),
% 0.16/0.37 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.16/0.37 fof(f39,plain,(
% 0.16/0.37 ![A,B]: (~relation(B)|((~B=identity_relation(A)|(![C,D]: ((~in(ordered_pair(C,D),B)|(in(C,A)&C=D))&(in(ordered_pair(C,D),B)|(~in(C,A)|~C=D)))))&(B=identity_relation(A)|(?[C,D]: ((~in(ordered_pair(C,D),B)|(~in(C,A)|~C=D))&(in(ordered_pair(C,D),B)|(in(C,A)&C=D)))))))),
% 0.16/0.37 inference(NNF_transformation,[status(esa)],[f38])).
% 0.16/0.37 fof(f40,plain,(
% 0.16/0.37 ![B]: (~relation(B)|((![A]: (~B=identity_relation(A)|((![C,D]: (~in(ordered_pair(C,D),B)|(in(C,A)&C=D)))&(![C,D]: (in(ordered_pair(C,D),B)|(~in(C,A)|~C=D))))))&(![A]: (B=identity_relation(A)|(?[C,D]: ((~in(ordered_pair(C,D),B)|(~in(C,A)|~C=D))&(in(ordered_pair(C,D),B)|(in(C,A)&C=D))))))))),
% 0.16/0.37 inference(miniscoping,[status(esa)],[f39])).
% 0.16/0.37 fof(f41,plain,(
% 0.16/0.37 ![B]: (~relation(B)|((![A]: (~B=identity_relation(A)|((![C,D]: (~in(ordered_pair(C,D),B)|(in(C,A)&C=D)))&(![C,D]: (in(ordered_pair(C,D),B)|(~in(C,A)|~C=D))))))&(![A]: (B=identity_relation(A)|((~in(ordered_pair(sk0_0(A,B),sk0_1(A,B)),B)|(~in(sk0_0(A,B),A)|~sk0_0(A,B)=sk0_1(A,B)))&(in(ordered_pair(sk0_0(A,B),sk0_1(A,B)),B)|(in(sk0_0(A,B),A)&sk0_0(A,B)=sk0_1(A,B))))))))),
% 0.16/0.37 inference(skolemization,[status(esa)],[f40])).
% 0.16/0.37 fof(f42,plain,(
% 0.16/0.37 ![X0,X1,X2,X3]: (~relation(X0)|~X0=identity_relation(X1)|~in(ordered_pair(X2,X3),X0)|in(X2,X1))),
% 0.16/0.37 inference(cnf_transformation,[status(esa)],[f41])).
% 0.16/0.37 fof(f43,plain,(
% 0.16/0.37 ![X0,X1,X2,X3]: (~relation(X0)|~X0=identity_relation(X1)|~in(ordered_pair(X2,X3),X0)|X2=X3)),
% 0.16/0.37 inference(cnf_transformation,[status(esa)],[f41])).
% 0.16/0.37 fof(f44,plain,(
% 0.16/0.37 ![X0,X1,X2,X3]: (~relation(X0)|~X0=identity_relation(X1)|in(ordered_pair(X2,X3),X0)|~in(X2,X1)|~X2=X3)),
% 0.16/0.37 inference(cnf_transformation,[status(esa)],[f41])).
% 0.16/0.37 fof(f49,plain,(
% 0.16/0.37 ![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)))))))))))),
% 0.16/0.37 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.16/0.37 fof(f50,plain,(
% 0.16/0.37 ![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)))))))))))))),
% 0.16/0.37 inference(NNF_transformation,[status(esa)],[f49])).
% 0.16/0.37 fof(f51,plain,(
% 0.16/0.37 ![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)))))))))))))),
% 0.16/0.37 inference(miniscoping,[status(esa)],[f50])).
% 0.16/0.37 fof(f52,plain,(
% 0.16/0.37 ![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,sk0_2(E,D,C,B,A)),A)&in(ordered_pair(sk0_2(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(sk0_3(C,B,A),sk0_4(C,B,A)),C)|(![F]: (~in(ordered_pair(sk0_3(C,B,A),F),A)|~in(ordered_pair(F,sk0_4(C,B,A)),B))))&(in(ordered_pair(sk0_3(C,B,A),sk0_4(C,B,A)),C)|(in(ordered_pair(sk0_3(C,B,A),sk0_5(C,B,A)),A)&in(ordered_pair(sk0_5(C,B,A),sk0_4(C,B,A)),B)))))))))))),
% 0.16/0.37 inference(skolemization,[status(esa)],[f51])).
% 0.16/0.37 fof(f53,plain,(
% 0.16/0.37 ![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,sk0_2(X4,X3,X2,X1,X0)),X0))),
% 0.16/0.37 inference(cnf_transformation,[status(esa)],[f52])).
% 0.16/0.37 fof(f54,plain,(
% 0.16/0.37 ![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(sk0_2(X4,X3,X2,X1,X0),X4),X1))),
% 0.16/0.37 inference(cnf_transformation,[status(esa)],[f52])).
% 0.16/0.37 fof(f55,plain,(
% 0.16/0.37 ![X0,X1,X2,X3,X4,X5]: (~relation(X0)|~relation(X1)|~relation(X2)|~X2=relation_composition(X0,X1)|in(ordered_pair(X3,X4),X2)|~in(ordered_pair(X3,X5),X0)|~in(ordered_pair(X5,X4),X1))),
% 0.16/0.37 inference(cnf_transformation,[status(esa)],[f52])).
% 0.16/0.37 fof(f59,plain,(
% 0.16/0.37 ![A,B]: ((~relation(A)|~relation(B))|relation(relation_composition(A,B)))),
% 0.16/0.37 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.16/0.37 fof(f60,plain,(
% 0.16/0.37 ![X0,X1]: (~relation(X0)|~relation(X1)|relation(relation_composition(X0,X1)))),
% 0.16/0.37 inference(cnf_transformation,[status(esa)],[f59])).
% 0.16/0.37 fof(f61,plain,(
% 0.16/0.37 ![X0]: (relation(identity_relation(X0)))),
% 0.16/0.37 inference(cnf_transformation,[status(esa)],[f12])).
% 0.16/0.37 fof(f92,plain,(
% 0.16/0.37 (?[A,B,C,D]: (relation(D)&(in(ordered_pair(A,B),relation_composition(identity_relation(C),D))<~>(in(A,C)&in(ordered_pair(A,B),D)))))),
% 0.16/0.37 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 0.16/0.37 fof(f93,plain,(
% 0.16/0.37 ?[A,B,C,D]: (relation(D)&((in(ordered_pair(A,B),relation_composition(identity_relation(C),D))|(in(A,C)&in(ordered_pair(A,B),D)))&(~in(ordered_pair(A,B),relation_composition(identity_relation(C),D))|(~in(A,C)|~in(ordered_pair(A,B),D)))))),
% 0.16/0.37 inference(NNF_transformation,[status(esa)],[f92])).
% 0.16/0.37 fof(f94,plain,(
% 0.16/0.37 ?[D]: (relation(D)&(?[A,B,C]: ((in(ordered_pair(A,B),relation_composition(identity_relation(C),D))|(in(A,C)&in(ordered_pair(A,B),D)))&(~in(ordered_pair(A,B),relation_composition(identity_relation(C),D))|(~in(A,C)|~in(ordered_pair(A,B),D))))))),
% 0.16/0.37 inference(miniscoping,[status(esa)],[f93])).
% 0.16/0.37 fof(f95,plain,(
% 0.16/0.37 (relation(sk0_11)&((in(ordered_pair(sk0_12,sk0_13),relation_composition(identity_relation(sk0_14),sk0_11))|(in(sk0_12,sk0_14)&in(ordered_pair(sk0_12,sk0_13),sk0_11)))&(~in(ordered_pair(sk0_12,sk0_13),relation_composition(identity_relation(sk0_14),sk0_11))|(~in(sk0_12,sk0_14)|~in(ordered_pair(sk0_12,sk0_13),sk0_11)))))),
% 0.16/0.37 inference(skolemization,[status(esa)],[f94])).
% 0.16/0.37 fof(f96,plain,(
% 0.16/0.37 relation(sk0_11)),
% 0.16/0.37 inference(cnf_transformation,[status(esa)],[f95])).
% 0.16/0.37 fof(f97,plain,(
% 0.16/0.37 in(ordered_pair(sk0_12,sk0_13),relation_composition(identity_relation(sk0_14),sk0_11))|in(sk0_12,sk0_14)),
% 0.16/0.37 inference(cnf_transformation,[status(esa)],[f95])).
% 0.16/0.37 fof(f98,plain,(
% 0.16/0.37 in(ordered_pair(sk0_12,sk0_13),relation_composition(identity_relation(sk0_14),sk0_11))|in(ordered_pair(sk0_12,sk0_13),sk0_11)),
% 0.16/0.37 inference(cnf_transformation,[status(esa)],[f95])).
% 0.16/0.37 fof(f99,plain,(
% 0.16/0.37 ~in(ordered_pair(sk0_12,sk0_13),relation_composition(identity_relation(sk0_14),sk0_11))|~in(sk0_12,sk0_14)|~in(ordered_pair(sk0_12,sk0_13),sk0_11)),
% 0.16/0.37 inference(cnf_transformation,[status(esa)],[f95])).
% 0.16/0.37 fof(f106,plain,(
% 0.16/0.37 spl0_0 <=> in(ordered_pair(sk0_12,sk0_13),relation_composition(identity_relation(sk0_14),sk0_11))),
% 0.16/0.37 introduced(split_symbol_definition)).
% 0.16/0.37 fof(f107,plain,(
% 0.16/0.37 in(ordered_pair(sk0_12,sk0_13),relation_composition(identity_relation(sk0_14),sk0_11))|~spl0_0),
% 0.16/0.37 inference(component_clause,[status(thm)],[f106])).
% 0.16/0.37 fof(f108,plain,(
% 0.16/0.37 ~in(ordered_pair(sk0_12,sk0_13),relation_composition(identity_relation(sk0_14),sk0_11))|spl0_0),
% 0.16/0.37 inference(component_clause,[status(thm)],[f106])).
% 0.16/0.37 fof(f109,plain,(
% 0.16/0.37 spl0_1 <=> in(sk0_12,sk0_14)),
% 0.16/0.37 introduced(split_symbol_definition)).
% 0.16/0.37 fof(f112,plain,(
% 0.16/0.37 spl0_0|spl0_1),
% 0.16/0.37 inference(split_clause,[status(thm)],[f97,f106,f109])).
% 0.16/0.37 fof(f113,plain,(
% 0.16/0.37 spl0_2 <=> in(ordered_pair(sk0_12,sk0_13),sk0_11)),
% 0.16/0.37 introduced(split_symbol_definition)).
% 0.16/0.37 fof(f115,plain,(
% 0.16/0.37 ~in(ordered_pair(sk0_12,sk0_13),sk0_11)|spl0_2),
% 0.16/0.37 inference(component_clause,[status(thm)],[f113])).
% 0.16/0.37 fof(f116,plain,(
% 0.16/0.37 spl0_0|spl0_2),
% 0.16/0.37 inference(split_clause,[status(thm)],[f98,f106,f113])).
% 0.16/0.37 fof(f117,plain,(
% 0.16/0.37 ~spl0_0|~spl0_1|~spl0_2),
% 0.16/0.37 inference(split_clause,[status(thm)],[f99,f106,f109,f113])).
% 0.16/0.37 fof(f118,plain,(
% 0.16/0.37 ![X0,X1,X2]: (~relation(identity_relation(X0))|~in(ordered_pair(X1,X2),identity_relation(X0))|in(X1,X0))),
% 0.16/0.37 inference(destructive_equality_resolution,[status(esa)],[f42])).
% 0.16/0.37 fof(f119,plain,(
% 0.16/0.37 ![X0,X1,X2]: (~relation(identity_relation(X0))|~in(ordered_pair(X1,X2),identity_relation(X0))|X1=X2)),
% 0.16/0.37 inference(destructive_equality_resolution,[status(esa)],[f43])).
% 0.16/0.37 fof(f120,plain,(
% 0.16/0.37 ![X0,X1]: (~relation(identity_relation(X0))|in(ordered_pair(X1,X1),identity_relation(X0))|~in(X1,X0))),
% 0.16/0.37 inference(destructive_equality_resolution,[status(esa)],[f44])).
% 0.16/0.37 fof(f122,plain,(
% 0.16/0.37 ![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,sk0_2(X3,X2,relation_composition(X0,X1),X1,X0)),X0))),
% 0.16/0.37 inference(destructive_equality_resolution,[status(esa)],[f53])).
% 0.16/0.37 fof(f123,plain,(
% 0.16/0.37 ![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(sk0_2(X3,X2,relation_composition(X0,X1),X1,X0),X3),X1))),
% 0.16/0.37 inference(destructive_equality_resolution,[status(esa)],[f54])).
% 0.16/0.37 fof(f124,plain,(
% 0.16/0.37 ![X0,X1,X2,X3,X4]: (~relation(X0)|~relation(X1)|~relation(relation_composition(X0,X1))|in(ordered_pair(X2,X3),relation_composition(X0,X1))|~in(ordered_pair(X2,X4),X0)|~in(ordered_pair(X4,X3),X1))),
% 0.16/0.37 inference(destructive_equality_resolution,[status(esa)],[f55])).
% 0.16/0.37 fof(f125,plain,(
% 0.16/0.37 ![X0,X1,X2,X3,X4]: (~relation(X0)|~relation(X1)|in(ordered_pair(X2,X3),relation_composition(X0,X1))|~in(ordered_pair(X2,X4),X0)|~in(ordered_pair(X4,X3),X1))),
% 0.16/0.37 inference(backward_subsumption_resolution,[status(thm)],[f124,f60])).
% 0.16/0.37 fof(f126,plain,(
% 0.16/0.37 ![X0,X1,X2,X3]: (~relation(X0)|~relation(X1)|~in(ordered_pair(X2,X3),relation_composition(X0,X1))|in(ordered_pair(sk0_2(X3,X2,relation_composition(X0,X1),X1,X0),X3),X1))),
% 0.16/0.37 inference(backward_subsumption_resolution,[status(thm)],[f123,f60])).
% 0.16/0.37 fof(f127,plain,(
% 0.16/0.37 ![X0,X1,X2,X3]: (~relation(X0)|~relation(X1)|~in(ordered_pair(X2,X3),relation_composition(X0,X1))|in(ordered_pair(X2,sk0_2(X3,X2,relation_composition(X0,X1),X1,X0)),X0))),
% 0.16/0.37 inference(backward_subsumption_resolution,[status(thm)],[f122,f60])).
% 0.16/0.37 fof(f128,plain,(
% 0.16/0.37 ![X0,X1]: (in(ordered_pair(X0,X0),identity_relation(X1))|~in(X0,X1))),
% 0.16/0.37 inference(backward_subsumption_resolution,[status(thm)],[f120,f61])).
% 0.16/0.37 fof(f129,plain,(
% 0.16/0.37 ![X0,X1,X2]: (~in(ordered_pair(X0,X1),identity_relation(X2))|X0=X1)),
% 0.16/0.37 inference(backward_subsumption_resolution,[status(thm)],[f119,f61])).
% 0.16/0.37 fof(f130,plain,(
% 0.16/0.37 ![X0,X1,X2]: (~in(ordered_pair(X0,X1),identity_relation(X2))|in(X0,X2))),
% 0.16/0.37 inference(backward_subsumption_resolution,[status(thm)],[f118,f61])).
% 0.16/0.37 fof(f180,plain,(
% 0.16/0.37 spl0_3 <=> relation(identity_relation(sk0_14))),
% 0.16/0.37 introduced(split_symbol_definition)).
% 0.16/0.37 fof(f182,plain,(
% 0.16/0.37 ~relation(identity_relation(sk0_14))|spl0_3),
% 0.16/0.37 inference(component_clause,[status(thm)],[f180])).
% 0.16/0.37 fof(f183,plain,(
% 0.16/0.37 spl0_4 <=> relation(sk0_11)),
% 0.16/0.37 introduced(split_symbol_definition)).
% 0.16/0.37 fof(f185,plain,(
% 0.16/0.37 ~relation(sk0_11)|spl0_4),
% 0.16/0.37 inference(component_clause,[status(thm)],[f183])).
% 0.16/0.37 fof(f186,plain,(
% 0.16/0.37 spl0_5 <=> in(ordered_pair(sk0_12,sk0_2(sk0_13,sk0_12,relation_composition(identity_relation(sk0_14),sk0_11),sk0_11,identity_relation(sk0_14))),identity_relation(sk0_14))),
% 0.16/0.37 introduced(split_symbol_definition)).
% 0.16/0.37 fof(f187,plain,(
% 0.16/0.37 in(ordered_pair(sk0_12,sk0_2(sk0_13,sk0_12,relation_composition(identity_relation(sk0_14),sk0_11),sk0_11,identity_relation(sk0_14))),identity_relation(sk0_14))|~spl0_5),
% 0.16/0.37 inference(component_clause,[status(thm)],[f186])).
% 0.16/0.37 fof(f189,plain,(
% 0.16/0.37 ~relation(identity_relation(sk0_14))|~relation(sk0_11)|in(ordered_pair(sk0_12,sk0_2(sk0_13,sk0_12,relation_composition(identity_relation(sk0_14),sk0_11),sk0_11,identity_relation(sk0_14))),identity_relation(sk0_14))|~spl0_0),
% 0.16/0.37 inference(resolution,[status(thm)],[f107,f127])).
% 0.16/0.37 fof(f190,plain,(
% 0.16/0.37 ~spl0_3|~spl0_4|spl0_5|~spl0_0),
% 0.16/0.37 inference(split_clause,[status(thm)],[f189,f180,f183,f186,f106])).
% 0.16/0.37 fof(f191,plain,(
% 0.16/0.37 spl0_6 <=> in(ordered_pair(sk0_2(sk0_13,sk0_12,relation_composition(identity_relation(sk0_14),sk0_11),sk0_11,identity_relation(sk0_14)),sk0_13),sk0_11)),
% 0.16/0.37 introduced(split_symbol_definition)).
% 0.16/0.37 fof(f192,plain,(
% 0.16/0.37 in(ordered_pair(sk0_2(sk0_13,sk0_12,relation_composition(identity_relation(sk0_14),sk0_11),sk0_11,identity_relation(sk0_14)),sk0_13),sk0_11)|~spl0_6),
% 0.16/0.37 inference(component_clause,[status(thm)],[f191])).
% 0.16/0.37 fof(f194,plain,(
% 0.16/0.37 ~relation(identity_relation(sk0_14))|~relation(sk0_11)|in(ordered_pair(sk0_2(sk0_13,sk0_12,relation_composition(identity_relation(sk0_14),sk0_11),sk0_11,identity_relation(sk0_14)),sk0_13),sk0_11)|~spl0_0),
% 0.16/0.37 inference(resolution,[status(thm)],[f107,f126])).
% 0.16/0.37 fof(f195,plain,(
% 0.16/0.37 ~spl0_3|~spl0_4|spl0_6|~spl0_0),
% 0.16/0.37 inference(split_clause,[status(thm)],[f194,f180,f183,f191,f106])).
% 0.16/0.37 fof(f197,plain,(
% 0.16/0.37 $false|spl0_4),
% 0.16/0.37 inference(forward_subsumption_resolution,[status(thm)],[f185,f96])).
% 0.16/0.37 fof(f198,plain,(
% 0.16/0.37 spl0_4),
% 0.16/0.37 inference(contradiction_clause,[status(thm)],[f197])).
% 0.16/0.37 fof(f199,plain,(
% 0.16/0.37 $false|spl0_3),
% 0.16/0.37 inference(forward_subsumption_resolution,[status(thm)],[f182,f61])).
% 0.16/0.37 fof(f200,plain,(
% 0.16/0.37 spl0_3),
% 0.16/0.37 inference(contradiction_clause,[status(thm)],[f199])).
% 0.16/0.37 fof(f203,plain,(
% 0.16/0.37 spl0_7 <=> ~in(ordered_pair(sk0_12,X0),identity_relation(sk0_14))|~in(ordered_pair(X0,sk0_13),sk0_11)),
% 0.16/0.37 introduced(split_symbol_definition)).
% 0.16/0.37 fof(f204,plain,(
% 0.16/0.37 ![X0]: (~in(ordered_pair(sk0_12,X0),identity_relation(sk0_14))|~in(ordered_pair(X0,sk0_13),sk0_11)|~spl0_7)),
% 0.16/0.37 inference(component_clause,[status(thm)],[f203])).
% 0.16/0.37 fof(f206,plain,(
% 0.16/0.37 ![X0]: (~relation(identity_relation(sk0_14))|~relation(sk0_11)|~in(ordered_pair(sk0_12,X0),identity_relation(sk0_14))|~in(ordered_pair(X0,sk0_13),sk0_11)|spl0_0)),
% 0.16/0.37 inference(resolution,[status(thm)],[f108,f125])).
% 0.16/0.37 fof(f207,plain,(
% 0.16/0.37 ~spl0_3|~spl0_4|spl0_7|spl0_0),
% 0.16/0.37 inference(split_clause,[status(thm)],[f206,f180,f183,f203,f106])).
% 0.16/0.37 fof(f213,plain,(
% 0.16/0.37 ~in(ordered_pair(sk0_12,sk0_13),sk0_11)|~in(sk0_12,sk0_14)|~spl0_7),
% 0.16/0.37 inference(resolution,[status(thm)],[f204,f128])).
% 0.16/0.37 fof(f214,plain,(
% 0.16/0.37 ~spl0_2|~spl0_1|~spl0_7),
% 0.16/0.37 inference(split_clause,[status(thm)],[f213,f113,f109,f203])).
% 0.16/0.37 fof(f219,plain,(
% 0.16/0.37 in(sk0_12,sk0_14)|~spl0_5),
% 0.16/0.37 inference(resolution,[status(thm)],[f187,f130])).
% 0.16/0.37 fof(f220,plain,(
% 0.16/0.37 spl0_1|~spl0_5),
% 0.16/0.37 inference(split_clause,[status(thm)],[f219,f109,f186])).
% 0.16/0.37 fof(f221,plain,(
% 0.16/0.37 sk0_12=sk0_2(sk0_13,sk0_12,relation_composition(identity_relation(sk0_14),sk0_11),sk0_11,identity_relation(sk0_14))|~spl0_5),
% 0.16/0.37 inference(resolution,[status(thm)],[f187,f129])).
% 0.16/0.37 fof(f226,plain,(
% 0.16/0.37 in(ordered_pair(sk0_12,sk0_13),sk0_11)|~spl0_5|~spl0_6),
% 0.16/0.37 inference(backward_demodulation,[status(thm)],[f221,f192])).
% 0.16/0.37 fof(f227,plain,(
% 0.16/0.37 $false|~spl0_5|~spl0_6|spl0_2),
% 0.16/0.37 inference(forward_subsumption_resolution,[status(thm)],[f115,f226])).
% 0.16/0.37 fof(f228,plain,(
% 0.16/0.37 ~spl0_5|~spl0_6|spl0_2),
% 0.16/0.37 inference(contradiction_clause,[status(thm)],[f227])).
% 0.16/0.37 fof(f229,plain,(
% 0.16/0.37 $false),
% 0.16/0.37 inference(sat_refutation,[status(thm)],[f112,f116,f117,f190,f195,f198,f200,f207,f214,f220,f228])).
% 0.16/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.38 % Elapsed time: 0.047711 seconds
% 0.16/0.38 % CPU time: 0.247346 seconds
% 0.16/0.38 % Total memory used: 62.465 MB
% 0.16/0.38 % Net memory used: 62.209 MB
%------------------------------------------------------------------------------