TSTP Solution File: SEU214+2 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU214+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 : Wed May 31 12:36:17 EDT 2023
% Result : Theorem 0.16s 0.37s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SEU214+2 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n019.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 09:12:55 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.5.1
% 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(f27,axiom,(
% 0.16/0.37 (! [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 ) ) ) )) )),
% 0.16/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.37 fof(f38,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/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.37 fof(f60,axiom,(
% 0.16/0.37 (! [A,B] :( ( relation(A)& relation(B) )=> relation(relation_composition(A,B)) ) )),
% 0.16/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.37 fof(f73,axiom,(
% 0.16/0.37 (! [A,B] :( ( relation(A)& function(A)& relation(B)& function(B) )=> ( relation(relation_composition(A,B))& function(relation_composition(A,B)) ) ) )),
% 0.16/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.37 fof(f149,lemma,(
% 0.16/0.37 (! [A,B] :( ( relation(B)& function(B) )=> (! [C] :( ( relation(C)& function(C) )=> ( in(A,relation_dom(relation_composition(C,B)))<=> ( in(A,relation_dom(C))& in(apply(C,A),relation_dom(B)) ) ) ) )) )),
% 0.16/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.37 fof(f151,conjecture,(
% 0.16/0.37 (! [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)) ) ) )) )),
% 0.16/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.37 fof(f152,negated_conjecture,(
% 0.16/0.37 ~((! [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)) ) ) )) ))),
% 0.16/0.37 inference(negated_conjecture,[status(cth)],[f151])).
% 0.16/0.37 fof(f210,lemma,(
% 0.16/0.37 (! [A,B,C] :( ( relation(C)& function(C) )=> ( in(ordered_pair(A,B),C)<=> ( in(A,relation_dom(C))& B = apply(C,A) ) ) ) )),
% 0.16/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.37 fof(f388,plain,(
% 0.16/0.37 ![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)))))),
% 0.16/0.37 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 0.16/0.37 fof(f389,plain,(
% 0.16/0.37 ![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))))))),
% 0.16/0.37 inference(NNF_transformation,[status(esa)],[f388])).
% 0.16/0.37 fof(f390,plain,(
% 0.16/0.37 ![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)))))))),
% 0.16/0.37 inference(miniscoping,[status(esa)],[f389])).
% 0.16/0.37 fof(f391,plain,(
% 0.16/0.37 ![X0,X1,X2]: (~relation(X0)|~function(X0)|~in(X1,relation_dom(X0))|~X2=apply(X0,X1)|in(ordered_pair(X1,X2),X0))),
% 0.16/0.37 inference(cnf_transformation,[status(esa)],[f390])).
% 0.16/0.37 fof(f447,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)],[f38])).
% 0.16/0.37 fof(f448,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)],[f447])).
% 0.16/0.37 fof(f449,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)],[f448])).
% 0.16/0.37 fof(f450,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_46(E,D,C,B,A)),A)&in(ordered_pair(sk0_46(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_47(C,B,A),sk0_48(C,B,A)),C)|(![F]: (~in(ordered_pair(sk0_47(C,B,A),F),A)|~in(ordered_pair(F,sk0_48(C,B,A)),B))))&(in(ordered_pair(sk0_47(C,B,A),sk0_48(C,B,A)),C)|(in(ordered_pair(sk0_47(C,B,A),sk0_49(C,B,A)),A)&in(ordered_pair(sk0_49(C,B,A),sk0_48(C,B,A)),B)))))))))))),
% 0.16/0.37 inference(skolemization,[status(esa)],[f449])).
% 0.16/0.37 fof(f453,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)],[f450])).
% 0.16/0.37 fof(f475,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)],[f60])).
% 0.16/0.37 fof(f476,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)],[f475])).
% 0.16/0.37 fof(f500,plain,(
% 0.16/0.37 ![A,B]: ((((~relation(A)|~function(A))|~relation(B))|~function(B))|(relation(relation_composition(A,B))&function(relation_composition(A,B))))),
% 0.16/0.37 inference(pre_NNF_transformation,[status(esa)],[f73])).
% 0.16/0.37 fof(f502,plain,(
% 0.16/0.37 ![X0,X1]: (~relation(X0)|~function(X0)|~relation(X1)|~function(X1)|function(relation_composition(X0,X1)))),
% 0.16/0.37 inference(cnf_transformation,[status(esa)],[f500])).
% 0.16/0.37 fof(f709,plain,(
% 0.16/0.37 ![A,B]: ((~relation(B)|~function(B))|(![C]: ((~relation(C)|~function(C))|(in(A,relation_dom(relation_composition(C,B)))<=>(in(A,relation_dom(C))&in(apply(C,A),relation_dom(B)))))))),
% 0.16/0.37 inference(pre_NNF_transformation,[status(esa)],[f149])).
% 0.16/0.37 fof(f710,plain,(
% 0.16/0.37 ![A,B]: ((~relation(B)|~function(B))|(![C]: ((~relation(C)|~function(C))|((~in(A,relation_dom(relation_composition(C,B)))|(in(A,relation_dom(C))&in(apply(C,A),relation_dom(B))))&(in(A,relation_dom(relation_composition(C,B)))|(~in(A,relation_dom(C))|~in(apply(C,A),relation_dom(B))))))))),
% 0.16/0.37 inference(NNF_transformation,[status(esa)],[f709])).
% 0.16/0.37 fof(f711,plain,(
% 0.16/0.37 ![B]: ((~relation(B)|~function(B))|(![C]: ((~relation(C)|~function(C))|((![A]: (~in(A,relation_dom(relation_composition(C,B)))|(in(A,relation_dom(C))&in(apply(C,A),relation_dom(B)))))&(![A]: (in(A,relation_dom(relation_composition(C,B)))|(~in(A,relation_dom(C))|~in(apply(C,A),relation_dom(B)))))))))),
% 0.16/0.37 inference(miniscoping,[status(esa)],[f710])).
% 0.16/0.37 fof(f712,plain,(
% 0.16/0.37 ![X0,X1,X2]: (~relation(X0)|~function(X0)|~relation(X1)|~function(X1)|~in(X2,relation_dom(relation_composition(X1,X0)))|in(X2,relation_dom(X1)))),
% 0.16/0.37 inference(cnf_transformation,[status(esa)],[f711])).
% 0.16/0.37 fof(f713,plain,(
% 0.16/0.37 ![X0,X1,X2]: (~relation(X0)|~function(X0)|~relation(X1)|~function(X1)|~in(X2,relation_dom(relation_composition(X1,X0)))|in(apply(X1,X2),relation_dom(X0)))),
% 0.16/0.37 inference(cnf_transformation,[status(esa)],[f711])).
% 0.16/0.37 fof(f717,plain,(
% 0.16/0.37 (?[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)))))))),
% 0.16/0.37 inference(pre_NNF_transformation,[status(esa)],[f152])).
% 0.16/0.37 fof(f718,plain,(
% 0.16/0.37 ?[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)))))))),
% 0.16/0.37 inference(miniscoping,[status(esa)],[f717])).
% 0.16/0.37 fof(f719,plain,(
% 0.16/0.37 ((relation(sk0_64)&function(sk0_64))&((relation(sk0_65)&function(sk0_65))&(in(sk0_66,relation_dom(relation_composition(sk0_65,sk0_64)))&~apply(relation_composition(sk0_65,sk0_64),sk0_66)=apply(sk0_64,apply(sk0_65,sk0_66)))))),
% 0.16/0.37 inference(skolemization,[status(esa)],[f718])).
% 0.16/0.37 fof(f720,plain,(
% 0.16/0.37 relation(sk0_64)),
% 0.16/0.37 inference(cnf_transformation,[status(esa)],[f719])).
% 0.16/0.37 fof(f721,plain,(
% 0.16/0.37 function(sk0_64)),
% 0.16/0.37 inference(cnf_transformation,[status(esa)],[f719])).
% 0.16/0.37 fof(f722,plain,(
% 0.16/0.37 relation(sk0_65)),
% 0.16/0.37 inference(cnf_transformation,[status(esa)],[f719])).
% 0.16/0.37 fof(f723,plain,(
% 0.16/0.37 function(sk0_65)),
% 0.16/0.37 inference(cnf_transformation,[status(esa)],[f719])).
% 0.16/0.37 fof(f724,plain,(
% 0.16/0.37 in(sk0_66,relation_dom(relation_composition(sk0_65,sk0_64)))),
% 0.16/0.37 inference(cnf_transformation,[status(esa)],[f719])).
% 0.16/0.37 fof(f725,plain,(
% 0.16/0.37 ~apply(relation_composition(sk0_65,sk0_64),sk0_66)=apply(sk0_64,apply(sk0_65,sk0_66))),
% 0.16/0.37 inference(cnf_transformation,[status(esa)],[f719])).
% 0.16/0.37 fof(f885,plain,(
% 0.16/0.37 ![A,B,C]: ((~relation(C)|~function(C))|(in(ordered_pair(A,B),C)<=>(in(A,relation_dom(C))&B=apply(C,A))))),
% 0.16/0.37 inference(pre_NNF_transformation,[status(esa)],[f210])).
% 0.16/0.37 fof(f886,plain,(
% 0.16/0.37 ![A,B,C]: ((~relation(C)|~function(C))|((~in(ordered_pair(A,B),C)|(in(A,relation_dom(C))&B=apply(C,A)))&(in(ordered_pair(A,B),C)|(~in(A,relation_dom(C))|~B=apply(C,A)))))),
% 0.16/0.37 inference(NNF_transformation,[status(esa)],[f885])).
% 0.16/0.37 fof(f887,plain,(
% 0.16/0.37 ![C]: ((~relation(C)|~function(C))|((![A,B]: (~in(ordered_pair(A,B),C)|(in(A,relation_dom(C))&B=apply(C,A))))&(![A,B]: (in(ordered_pair(A,B),C)|(~in(A,relation_dom(C))|~B=apply(C,A))))))),
% 0.16/0.37 inference(miniscoping,[status(esa)],[f886])).
% 0.16/0.37 fof(f889,plain,(
% 0.16/0.37 ![X0,X1,X2]: (~relation(X0)|~function(X0)|~in(ordered_pair(X1,X2),X0)|X2=apply(X0,X1))),
% 0.16/0.37 inference(cnf_transformation,[status(esa)],[f887])).
% 0.16/0.37 fof(f963,plain,(
% 0.16/0.37 ![X0,X1]: (~relation(X0)|~function(X0)|~in(X1,relation_dom(X0))|in(ordered_pair(X1,apply(X0,X1)),X0))),
% 0.16/0.37 inference(destructive_equality_resolution,[status(esa)],[f391])).
% 0.16/0.37 fof(f980,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)],[f453])).
% 0.16/0.37 fof(f1052,plain,(
% 0.16/0.37 spl0_8 <=> relation(sk0_64)),
% 0.16/0.37 introduced(split_symbol_definition)).
% 0.16/0.37 fof(f1054,plain,(
% 0.16/0.37 ~relation(sk0_64)|spl0_8),
% 0.16/0.37 inference(component_clause,[status(thm)],[f1052])).
% 0.16/0.37 fof(f1055,plain,(
% 0.16/0.37 spl0_9 <=> function(sk0_64)),
% 0.16/0.37 introduced(split_symbol_definition)).
% 0.16/0.37 fof(f1057,plain,(
% 0.16/0.37 ~function(sk0_64)|spl0_9),
% 0.16/0.37 inference(component_clause,[status(thm)],[f1055])).
% 0.16/0.37 fof(f1058,plain,(
% 0.16/0.37 spl0_10 <=> relation(sk0_65)),
% 0.16/0.37 introduced(split_symbol_definition)).
% 0.16/0.37 fof(f1060,plain,(
% 0.16/0.37 ~relation(sk0_65)|spl0_10),
% 0.16/0.37 inference(component_clause,[status(thm)],[f1058])).
% 0.16/0.37 fof(f1061,plain,(
% 0.16/0.37 spl0_11 <=> function(sk0_65)),
% 0.16/0.37 introduced(split_symbol_definition)).
% 0.16/0.37 fof(f1063,plain,(
% 0.16/0.37 ~function(sk0_65)|spl0_11),
% 0.16/0.37 inference(component_clause,[status(thm)],[f1061])).
% 0.16/0.37 fof(f1064,plain,(
% 0.16/0.37 spl0_12 <=> in(sk0_66,relation_dom(sk0_65))),
% 0.16/0.37 introduced(split_symbol_definition)).
% 0.16/0.37 fof(f1067,plain,(
% 0.16/0.37 ~relation(sk0_64)|~function(sk0_64)|~relation(sk0_65)|~function(sk0_65)|in(sk0_66,relation_dom(sk0_65))),
% 0.16/0.37 inference(resolution,[status(thm)],[f712,f724])).
% 0.16/0.37 fof(f1068,plain,(
% 0.16/0.37 ~spl0_8|~spl0_9|~spl0_10|~spl0_11|spl0_12),
% 0.16/0.37 inference(split_clause,[status(thm)],[f1067,f1052,f1055,f1058,f1061,f1064])).
% 0.16/0.37 fof(f1069,plain,(
% 0.16/0.37 $false|spl0_11),
% 0.16/0.37 inference(forward_subsumption_resolution,[status(thm)],[f1063,f723])).
% 0.16/0.37 fof(f1070,plain,(
% 0.16/0.37 spl0_11),
% 0.16/0.37 inference(contradiction_clause,[status(thm)],[f1069])).
% 0.16/0.37 fof(f1071,plain,(
% 0.16/0.37 $false|spl0_10),
% 0.16/0.37 inference(forward_subsumption_resolution,[status(thm)],[f1060,f722])).
% 0.16/0.37 fof(f1072,plain,(
% 0.16/0.37 spl0_10),
% 0.16/0.37 inference(contradiction_clause,[status(thm)],[f1071])).
% 0.16/0.37 fof(f1073,plain,(
% 0.16/0.37 $false|spl0_9),
% 0.16/0.37 inference(forward_subsumption_resolution,[status(thm)],[f1057,f721])).
% 0.24/0.61 fof(f1074,plain,(
% 0.24/0.61 spl0_9),
% 0.24/0.61 inference(contradiction_clause,[status(thm)],[f1073])).
% 0.24/0.61 fof(f1075,plain,(
% 0.24/0.61 $false|spl0_8),
% 0.24/0.61 inference(forward_subsumption_resolution,[status(thm)],[f1054,f720])).
% 0.24/0.61 fof(f1076,plain,(
% 0.24/0.61 spl0_8),
% 0.24/0.61 inference(contradiction_clause,[status(thm)],[f1075])).
% 0.24/0.61 fof(f1078,plain,(
% 0.24/0.61 ![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))),
% 0.24/0.61 inference(forward_subsumption_resolution,[status(thm)],[f980,f476])).
% 0.24/0.61 fof(f1079,plain,(
% 0.24/0.61 ![X0,X1,X2,X3,X4]: (~relation(X0)|~relation(X1)|~in(ordered_pair(X2,X3),X0)|~in(ordered_pair(X3,X4),X1)|~relation(relation_composition(X0,X1))|~function(relation_composition(X0,X1))|X4=apply(relation_composition(X0,X1),X2))),
% 0.24/0.61 inference(resolution,[status(thm)],[f1078,f889])).
% 0.24/0.61 fof(f1080,plain,(
% 0.24/0.61 ![X0,X1,X2,X3,X4]: (~relation(X0)|~relation(X1)|~in(ordered_pair(X2,X3),X0)|~in(ordered_pair(X3,X4),X1)|~function(relation_composition(X0,X1))|X4=apply(relation_composition(X0,X1),X2))),
% 0.24/0.61 inference(forward_subsumption_resolution,[status(thm)],[f1079,f476])).
% 0.24/0.61 fof(f1085,plain,(
% 0.24/0.61 spl0_13 <=> in(apply(sk0_65,sk0_66),relation_dom(sk0_64))),
% 0.24/0.61 introduced(split_symbol_definition)).
% 0.24/0.61 fof(f1088,plain,(
% 0.24/0.61 ~relation(sk0_64)|~function(sk0_64)|~relation(sk0_65)|~function(sk0_65)|in(apply(sk0_65,sk0_66),relation_dom(sk0_64))),
% 0.24/0.61 inference(resolution,[status(thm)],[f713,f724])).
% 0.24/0.61 fof(f1089,plain,(
% 0.24/0.61 ~spl0_8|~spl0_9|~spl0_10|~spl0_11|spl0_13),
% 0.24/0.61 inference(split_clause,[status(thm)],[f1088,f1052,f1055,f1058,f1061,f1085])).
% 0.24/0.61 fof(f1098,plain,(
% 0.24/0.61 spl0_14 <=> ~in(ordered_pair(sk0_66,X0),sk0_65)|~in(ordered_pair(X0,apply(sk0_64,apply(sk0_65,sk0_66))),sk0_64)),
% 0.24/0.61 introduced(split_symbol_definition)).
% 0.24/0.61 fof(f1099,plain,(
% 0.24/0.61 ![X0]: (~in(ordered_pair(sk0_66,X0),sk0_65)|~in(ordered_pair(X0,apply(sk0_64,apply(sk0_65,sk0_66))),sk0_64)|~spl0_14)),
% 0.24/0.61 inference(component_clause,[status(thm)],[f1098])).
% 0.24/0.61 fof(f1101,plain,(
% 0.24/0.61 spl0_15 <=> function(relation_composition(sk0_65,sk0_64))),
% 0.24/0.61 introduced(split_symbol_definition)).
% 0.24/0.61 fof(f1103,plain,(
% 0.24/0.61 ~function(relation_composition(sk0_65,sk0_64))|spl0_15),
% 0.24/0.61 inference(component_clause,[status(thm)],[f1101])).
% 0.24/0.61 fof(f1104,plain,(
% 0.24/0.61 ![X0]: (~relation(sk0_65)|~relation(sk0_64)|~in(ordered_pair(sk0_66,X0),sk0_65)|~in(ordered_pair(X0,apply(sk0_64,apply(sk0_65,sk0_66))),sk0_64)|~function(relation_composition(sk0_65,sk0_64)))),
% 0.24/0.61 inference(resolution,[status(thm)],[f1080,f725])).
% 0.24/0.61 fof(f1105,plain,(
% 0.24/0.61 ~spl0_10|~spl0_8|spl0_14|~spl0_15),
% 0.24/0.61 inference(split_clause,[status(thm)],[f1104,f1058,f1052,f1098,f1101])).
% 0.24/0.61 fof(f1245,plain,(
% 0.24/0.61 ~relation(sk0_65)|~function(sk0_65)|~relation(sk0_64)|~function(sk0_64)|spl0_15),
% 0.24/0.61 inference(resolution,[status(thm)],[f1103,f502])).
% 0.24/0.61 fof(f1246,plain,(
% 0.24/0.61 ~spl0_10|~spl0_11|~spl0_8|~spl0_9|spl0_15),
% 0.24/0.61 inference(split_clause,[status(thm)],[f1245,f1058,f1061,f1052,f1055,f1101])).
% 0.24/0.61 fof(f1278,plain,(
% 0.24/0.61 spl0_30 <=> in(ordered_pair(sk0_66,apply(sk0_65,sk0_66)),sk0_65)),
% 0.24/0.61 introduced(split_symbol_definition)).
% 0.24/0.61 fof(f1280,plain,(
% 0.24/0.61 ~in(ordered_pair(sk0_66,apply(sk0_65,sk0_66)),sk0_65)|spl0_30),
% 0.24/0.61 inference(component_clause,[status(thm)],[f1278])).
% 0.24/0.61 fof(f1281,plain,(
% 0.24/0.61 ~in(ordered_pair(sk0_66,apply(sk0_65,sk0_66)),sk0_65)|~relation(sk0_64)|~function(sk0_64)|~in(apply(sk0_65,sk0_66),relation_dom(sk0_64))|~spl0_14),
% 0.24/0.61 inference(resolution,[status(thm)],[f1099,f963])).
% 0.24/0.61 fof(f1282,plain,(
% 0.24/0.61 ~spl0_30|~spl0_8|~spl0_9|~spl0_13|~spl0_14),
% 0.24/0.61 inference(split_clause,[status(thm)],[f1281,f1278,f1052,f1055,f1085,f1098])).
% 0.24/0.61 fof(f1283,plain,(
% 0.24/0.61 ~relation(sk0_65)|~function(sk0_65)|~in(sk0_66,relation_dom(sk0_65))|spl0_30),
% 0.24/0.61 inference(resolution,[status(thm)],[f1280,f963])).
% 0.24/0.61 fof(f1284,plain,(
% 0.24/0.61 ~spl0_10|~spl0_11|~spl0_12|spl0_30),
% 0.24/0.61 inference(split_clause,[status(thm)],[f1283,f1058,f1061,f1064,f1278])).
% 0.24/0.61 fof(f1285,plain,(
% 0.24/0.61 $false),
% 0.24/0.61 inference(sat_refutation,[status(thm)],[f1068,f1070,f1072,f1074,f1076,f1089,f1105,f1246,f1282,f1284])).
% 0.24/0.61 % SZS output end CNFRefutation for theBenchmark.p
% 0.24/0.61 % Elapsed time: 0.081477 seconds
% 0.24/0.61 % CPU time: 0.182814 seconds
% 0.24/0.61 % Memory used: 32.909 MB
%------------------------------------------------------------------------------