TSTP Solution File: SEU219+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU219+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 20:41:33 EDT 2024
% Result : Theorem 3.28s 0.78s
% Output : CNFRefutation 3.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : SEU219+2 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n002.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Apr 29 20:05:24 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.35 % Drodi V3.6.0
% 3.28/0.78 % Refutation found
% 3.28/0.78 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.28/0.78 % SZS output start CNFRefutation for theBenchmark
% 3.28/0.78 fof(f3,axiom,(
% 3.28/0.78 (! [A] :( empty(A)=> function(A) ) )),
% 3.28/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.28/0.78 fof(f42,axiom,(
% 3.28/0.78 (! [A] :( ( relation(A)& function(A) )=> ( one_to_one(A)=> function_inverse(A) = relation_inverse(A) ) ) )),
% 3.28/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.28/0.78 fof(f50,axiom,(
% 3.28/0.78 (! [A] :( ( relation(A)& function(A) )=> ( relation(function_inverse(A))& function(function_inverse(A)) ) ) )),
% 3.28/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.28/0.78 fof(f114,axiom,(
% 3.28/0.78 (? [A] :( relation(A)& function(A) ) )),
% 3.28/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.28/0.78 fof(f115,axiom,(
% 3.28/0.78 (? [A] :( empty(A)& relation(A) ) )),
% 3.28/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.28/0.78 fof(f117,axiom,(
% 3.28/0.78 (? [A] : empty(A) )),
% 3.28/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.28/0.78 fof(f118,axiom,(
% 3.28/0.78 (? [A] :( relation(A)& empty(A)& function(A) ) )),
% 3.28/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.28/0.78 fof(f122,axiom,(
% 3.28/0.78 (? [A] :( relation(A)& function(A)& one_to_one(A) ) )),
% 3.28/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.28/0.78 fof(f174,lemma,(
% 3.28/0.78 (! [A] :( relation(A)=> ( relation_rng(A) = relation_dom(relation_inverse(A))& relation_dom(A) = relation_rng(relation_inverse(A)) ) ) )),
% 3.28/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.28/0.78 fof(f200,lemma,(
% 3.28/0.78 (! [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) ) ) ) )) ) ) )) ) )),
% 3.28/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.28/0.78 fof(f202,conjecture,(
% 3.28/0.78 (! [A] :( ( relation(A)& function(A) )=> ( one_to_one(A)=> ( relation_rng(A) = relation_dom(function_inverse(A))& relation_dom(A) = relation_rng(function_inverse(A)) ) ) ) )),
% 3.28/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.28/0.78 fof(f203,negated_conjecture,(
% 3.28/0.78 ~((! [A] :( ( relation(A)& function(A) )=> ( one_to_one(A)=> ( relation_rng(A) = relation_dom(function_inverse(A))& relation_dom(A) = relation_rng(function_inverse(A)) ) ) ) ))),
% 3.28/0.78 inference(negated_conjecture,[status(cth)],[f202])).
% 3.28/0.78 fof(f206,lemma,(
% 3.28/0.78 ( relation_dom(empty_set) = empty_set& relation_rng(empty_set) = empty_set ) ),
% 3.28/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.28/0.78 fof(f237,plain,(
% 3.28/0.78 ![A]: (~empty(A)|function(A))),
% 3.28/0.78 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 3.28/0.78 fof(f238,plain,(
% 3.28/0.78 ![X0]: (~empty(X0)|function(X0))),
% 3.28/0.78 inference(cnf_transformation,[status(esa)],[f237])).
% 3.28/0.78 fof(f487,plain,(
% 3.28/0.78 ![A]: ((~relation(A)|~function(A))|(~one_to_one(A)|function_inverse(A)=relation_inverse(A)))),
% 3.28/0.78 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 3.28/0.78 fof(f488,plain,(
% 3.28/0.78 ![X0]: (~relation(X0)|~function(X0)|~one_to_one(X0)|function_inverse(X0)=relation_inverse(X0))),
% 3.28/0.78 inference(cnf_transformation,[status(esa)],[f487])).
% 3.28/0.78 fof(f489,plain,(
% 3.28/0.78 ![A]: ((~relation(A)|~function(A))|(relation(function_inverse(A))&function(function_inverse(A))))),
% 3.28/0.78 inference(pre_NNF_transformation,[status(esa)],[f50])).
% 3.28/0.78 fof(f490,plain,(
% 3.28/0.78 ![X0]: (~relation(X0)|~function(X0)|relation(function_inverse(X0)))),
% 3.28/0.78 inference(cnf_transformation,[status(esa)],[f489])).
% 3.28/0.78 fof(f491,plain,(
% 3.28/0.78 ![X0]: (~relation(X0)|~function(X0)|function(function_inverse(X0)))),
% 3.28/0.78 inference(cnf_transformation,[status(esa)],[f489])).
% 3.28/0.78 fof(f614,plain,(
% 3.28/0.78 (relation(sk0_53)&function(sk0_53))),
% 3.28/0.78 inference(skolemization,[status(esa)],[f114])).
% 3.28/0.78 fof(f616,plain,(
% 3.28/0.78 function(sk0_53)),
% 3.28/0.78 inference(cnf_transformation,[status(esa)],[f614])).
% 3.28/0.78 fof(f617,plain,(
% 3.28/0.78 (empty(sk0_54)&relation(sk0_54))),
% 3.28/0.78 inference(skolemization,[status(esa)],[f115])).
% 3.28/0.78 fof(f618,plain,(
% 3.28/0.78 empty(sk0_54)),
% 3.28/0.78 inference(cnf_transformation,[status(esa)],[f617])).
% 3.28/0.78 fof(f624,plain,(
% 3.28/0.78 empty(sk0_56)),
% 3.28/0.78 inference(skolemization,[status(esa)],[f117])).
% 3.28/0.78 fof(f625,plain,(
% 3.28/0.78 empty(sk0_56)),
% 3.28/0.78 inference(cnf_transformation,[status(esa)],[f624])).
% 3.28/0.78 fof(f626,plain,(
% 3.28/0.78 ((relation(sk0_57)&empty(sk0_57))&function(sk0_57))),
% 3.28/0.78 inference(skolemization,[status(esa)],[f118])).
% 3.28/0.78 fof(f629,plain,(
% 3.28/0.78 function(sk0_57)),
% 3.28/0.78 inference(cnf_transformation,[status(esa)],[f626])).
% 3.28/0.78 fof(f638,plain,(
% 3.28/0.78 ((relation(sk0_61)&function(sk0_61))&one_to_one(sk0_61))),
% 3.28/0.78 inference(skolemization,[status(esa)],[f122])).
% 3.28/0.78 fof(f639,plain,(
% 3.28/0.78 relation(sk0_61)),
% 3.28/0.78 inference(cnf_transformation,[status(esa)],[f638])).
% 3.28/0.78 fof(f640,plain,(
% 3.28/0.78 function(sk0_61)),
% 3.28/0.78 inference(cnf_transformation,[status(esa)],[f638])).
% 3.28/0.78 fof(f800,plain,(
% 3.28/0.78 ![A]: (~relation(A)|(relation_rng(A)=relation_dom(relation_inverse(A))&relation_dom(A)=relation_rng(relation_inverse(A))))),
% 3.28/0.78 inference(pre_NNF_transformation,[status(esa)],[f174])).
% 3.28/0.78 fof(f802,plain,(
% 3.28/0.78 ![X0]: (~relation(X0)|relation_dom(X0)=relation_rng(relation_inverse(X0)))),
% 3.28/0.78 inference(cnf_transformation,[status(esa)],[f800])).
% 3.28/0.78 fof(f870,plain,(
% 3.28/0.78 ![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)))))))))))),
% 3.28/0.78 inference(pre_NNF_transformation,[status(esa)],[f200])).
% 3.28/0.78 fof(f871,plain,(
% 3.28/0.78 ![A,B,C,D]: (pd0_1(D,C,B,A)<=>((~in(C,relation_rng(A))|~D=apply(B,C))|(in(D,relation_dom(A))&C=apply(A,D))))),
% 3.28/0.78 introduced(predicate_definition,[f870])).
% 3.28/0.78 fof(f872,plain,(
% 3.28/0.78 ![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]: (pd0_1(D,C,B,A)&((~in(D,relation_dom(A))|~C=apply(A,D))|(in(C,relation_rng(A))&D=apply(B,C)))))))))))),
% 3.28/0.78 inference(formula_renaming,[status(thm)],[f870,f871])).
% 3.28/0.78 fof(f873,plain,(
% 3.28/0.78 ![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]: (pd0_1(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]: (~pd0_1(D,C,B,A)|((in(D,relation_dom(A))&C=apply(A,D))&(~in(C,relation_rng(A))|~D=apply(B,C))))))))))))),
% 3.28/0.78 inference(NNF_transformation,[status(esa)],[f872])).
% 3.28/0.78 fof(f874,plain,(
% 3.28/0.78 ![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]: pd0_1(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]: ~pd0_1(D,C,B,A))|(?[C,D]: ((in(D,relation_dom(A))&C=apply(A,D))&(~in(C,relation_rng(A))|~D=apply(B,C))))))))))))),
% 3.28/0.78 inference(miniscoping,[status(esa)],[f873])).
% 3.28/0.78 fof(f875,plain,(
% 3.28/0.78 ![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]: pd0_1(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)|(~pd0_1(sk0_71(B,A),sk0_70(B,A),B,A)|((in(sk0_73(B,A),relation_dom(A))&sk0_72(B,A)=apply(A,sk0_73(B,A)))&(~in(sk0_72(B,A),relation_rng(A))|~sk0_73(B,A)=apply(B,sk0_72(B,A))))))))))))),
% 3.28/0.78 inference(skolemization,[status(esa)],[f874])).
% 3.28/0.78 fof(f876,plain,(
% 3.28/0.78 ![X0,X1]: (~relation(X0)|~function(X0)|~one_to_one(X0)|~relation(X1)|~function(X1)|~X1=function_inverse(X0)|relation_dom(X1)=relation_rng(X0))),
% 3.28/0.78 inference(cnf_transformation,[status(esa)],[f875])).
% 3.28/0.78 fof(f886,plain,(
% 3.28/0.78 (?[A]: ((relation(A)&function(A))&(one_to_one(A)&(~relation_rng(A)=relation_dom(function_inverse(A))|~relation_dom(A)=relation_rng(function_inverse(A))))))),
% 3.28/0.78 inference(pre_NNF_transformation,[status(esa)],[f203])).
% 3.28/0.78 fof(f887,plain,(
% 3.28/0.78 ((relation(sk0_74)&function(sk0_74))&(one_to_one(sk0_74)&(~relation_rng(sk0_74)=relation_dom(function_inverse(sk0_74))|~relation_dom(sk0_74)=relation_rng(function_inverse(sk0_74)))))),
% 3.28/0.78 inference(skolemization,[status(esa)],[f886])).
% 3.28/0.78 fof(f888,plain,(
% 3.28/0.78 relation(sk0_74)),
% 3.28/0.78 inference(cnf_transformation,[status(esa)],[f887])).
% 3.28/0.78 fof(f889,plain,(
% 3.28/0.78 function(sk0_74)),
% 3.28/0.78 inference(cnf_transformation,[status(esa)],[f887])).
% 3.28/0.78 fof(f890,plain,(
% 3.28/0.78 one_to_one(sk0_74)),
% 3.28/0.78 inference(cnf_transformation,[status(esa)],[f887])).
% 3.28/0.78 fof(f891,plain,(
% 3.28/0.78 ~relation_rng(sk0_74)=relation_dom(function_inverse(sk0_74))|~relation_dom(sk0_74)=relation_rng(function_inverse(sk0_74))),
% 3.28/0.78 inference(cnf_transformation,[status(esa)],[f887])).
% 3.28/0.78 fof(f899,plain,(
% 3.28/0.78 relation_rng(empty_set)=empty_set),
% 3.28/0.78 inference(cnf_transformation,[status(esa)],[f206])).
% 3.28/0.78 fof(f997,plain,(
% 3.28/0.78 spl0_0 <=> relation_rng(sk0_74)=relation_dom(function_inverse(sk0_74))),
% 3.28/0.78 introduced(split_symbol_definition)).
% 3.28/0.78 fof(f999,plain,(
% 3.28/0.78 ~relation_rng(sk0_74)=relation_dom(function_inverse(sk0_74))|spl0_0),
% 3.28/0.78 inference(component_clause,[status(thm)],[f997])).
% 3.28/0.78 fof(f1000,plain,(
% 3.28/0.78 spl0_1 <=> relation_dom(sk0_74)=relation_rng(function_inverse(sk0_74))),
% 3.28/0.78 introduced(split_symbol_definition)).
% 3.28/0.78 fof(f1002,plain,(
% 3.28/0.78 ~relation_dom(sk0_74)=relation_rng(function_inverse(sk0_74))|spl0_1),
% 3.28/0.78 inference(component_clause,[status(thm)],[f1000])).
% 3.28/0.78 fof(f1003,plain,(
% 3.28/0.78 ~spl0_0|~spl0_1),
% 3.28/0.78 inference(split_clause,[status(thm)],[f891,f997,f1000])).
% 3.28/0.78 fof(f1022,plain,(
% 3.28/0.78 spl0_2 <=> relation(sk0_74)),
% 3.28/0.78 introduced(split_symbol_definition)).
% 3.28/0.78 fof(f1024,plain,(
% 3.28/0.78 ~relation(sk0_74)|spl0_2),
% 3.28/0.78 inference(component_clause,[status(thm)],[f1022])).
% 3.28/0.78 fof(f1025,plain,(
% 3.28/0.78 spl0_3 <=> function(sk0_74)),
% 3.28/0.78 introduced(split_symbol_definition)).
% 3.28/0.78 fof(f1027,plain,(
% 3.28/0.78 ~function(sk0_74)|spl0_3),
% 3.28/0.78 inference(component_clause,[status(thm)],[f1025])).
% 3.28/0.78 fof(f1028,plain,(
% 3.28/0.78 spl0_4 <=> function_inverse(sk0_74)=relation_inverse(sk0_74)),
% 3.28/0.78 introduced(split_symbol_definition)).
% 3.28/0.78 fof(f1029,plain,(
% 3.28/0.78 function_inverse(sk0_74)=relation_inverse(sk0_74)|~spl0_4),
% 3.28/0.78 inference(component_clause,[status(thm)],[f1028])).
% 3.28/0.78 fof(f1031,plain,(
% 3.28/0.78 ~relation(sk0_74)|~function(sk0_74)|function_inverse(sk0_74)=relation_inverse(sk0_74)),
% 3.28/0.78 inference(resolution,[status(thm)],[f488,f890])).
% 3.28/0.78 fof(f1032,plain,(
% 3.28/0.78 ~spl0_2|~spl0_3|spl0_4),
% 3.28/0.78 inference(split_clause,[status(thm)],[f1031,f1022,f1025,f1028])).
% 3.28/0.78 fof(f1036,plain,(
% 3.28/0.78 $false|spl0_3),
% 3.28/0.78 inference(forward_subsumption_resolution,[status(thm)],[f1027,f889])).
% 3.28/0.78 fof(f1037,plain,(
% 3.28/0.78 spl0_3),
% 3.28/0.78 inference(contradiction_clause,[status(thm)],[f1036])).
% 3.28/0.78 fof(f1038,plain,(
% 3.28/0.78 $false|spl0_2),
% 3.28/0.78 inference(forward_subsumption_resolution,[status(thm)],[f1024,f888])).
% 3.28/0.78 fof(f1039,plain,(
% 3.28/0.78 spl0_2),
% 3.28/0.78 inference(contradiction_clause,[status(thm)],[f1038])).
% 3.28/0.78 fof(f1040,plain,(
% 3.28/0.78 ~relation_rng(sk0_74)=relation_dom(relation_inverse(sk0_74))|~spl0_4|spl0_0),
% 3.28/0.78 inference(backward_demodulation,[status(thm)],[f1029,f999])).
% 3.28/0.78 fof(f1041,plain,(
% 3.28/0.78 spl0_5 <=> function(relation_inverse(sk0_74))),
% 3.28/0.78 introduced(split_symbol_definition)).
% 3.28/0.78 fof(f1044,plain,(
% 3.28/0.78 ~relation(sk0_74)|~function(sk0_74)|function(relation_inverse(sk0_74))|~spl0_4),
% 3.28/0.78 inference(paramodulation,[status(thm)],[f1029,f491])).
% 3.28/0.78 fof(f1045,plain,(
% 3.28/0.78 ~spl0_2|~spl0_3|spl0_5|~spl0_4),
% 3.28/0.78 inference(split_clause,[status(thm)],[f1044,f1022,f1025,f1041,f1028])).
% 3.28/0.78 fof(f1046,plain,(
% 3.28/0.78 spl0_6 <=> relation(relation_inverse(sk0_74))),
% 3.28/0.78 introduced(split_symbol_definition)).
% 3.28/0.78 fof(f1047,plain,(
% 3.28/0.78 relation(relation_inverse(sk0_74))|~spl0_6),
% 3.28/0.78 inference(component_clause,[status(thm)],[f1046])).
% 3.28/0.78 fof(f1049,plain,(
% 3.28/0.78 ~relation(sk0_74)|~function(sk0_74)|relation(relation_inverse(sk0_74))|~spl0_4),
% 3.28/0.78 inference(paramodulation,[status(thm)],[f1029,f490])).
% 3.28/0.78 fof(f1050,plain,(
% 3.28/0.78 ~spl0_2|~spl0_3|spl0_6|~spl0_4),
% 3.28/0.78 inference(split_clause,[status(thm)],[f1049,f1022,f1025,f1046,f1028])).
% 3.28/0.78 fof(f1116,plain,(
% 3.28/0.78 ~relation_dom(sk0_74)=relation_rng(relation_inverse(sk0_74))|~spl0_4|spl0_1),
% 3.28/0.78 inference(backward_demodulation,[status(thm)],[f1029,f1002])).
% 3.28/0.78 fof(f1285,plain,(
% 3.28/0.78 spl0_35 <=> ~relation(X0)|~function(X0)|~X0=function_inverse(sk0_74)|relation_dom(X0)=relation_rng(sk0_74)),
% 3.28/0.78 introduced(split_symbol_definition)).
% 3.28/0.78 fof(f1286,plain,(
% 3.28/0.78 ![X0]: (~relation(X0)|~function(X0)|~X0=function_inverse(sk0_74)|relation_dom(X0)=relation_rng(sk0_74)|~spl0_35)),
% 3.28/0.78 inference(component_clause,[status(thm)],[f1285])).
% 3.28/0.78 fof(f1288,plain,(
% 3.28/0.78 ![X0]: (~relation(sk0_74)|~function(sk0_74)|~relation(X0)|~function(X0)|~X0=function_inverse(sk0_74)|relation_dom(X0)=relation_rng(sk0_74))),
% 3.28/0.78 inference(resolution,[status(thm)],[f876,f890])).
% 3.28/0.78 fof(f1289,plain,(
% 3.28/0.78 ~spl0_2|~spl0_3|spl0_35),
% 3.28/0.78 inference(split_clause,[status(thm)],[f1288,f1022,f1025,f1285])).
% 3.28/0.78 fof(f1293,plain,(
% 3.28/0.78 ![X0]: (~relation(X0)|~function(X0)|~X0=relation_inverse(sk0_74)|relation_dom(X0)=relation_rng(sk0_74)|~spl0_4|~spl0_35)),
% 3.28/0.78 inference(forward_demodulation,[status(thm)],[f1029,f1286])).
% 3.28/0.78 fof(f1294,plain,(
% 3.28/0.78 spl0_36 <=> relation_inverse(sk0_74)=relation_inverse(sk0_74)),
% 3.28/0.78 introduced(split_symbol_definition)).
% 3.28/0.78 fof(f1296,plain,(
% 3.28/0.78 ~relation_inverse(sk0_74)=relation_inverse(sk0_74)|spl0_36),
% 3.28/0.78 inference(component_clause,[status(thm)],[f1294])).
% 3.28/0.78 fof(f1297,plain,(
% 3.28/0.78 spl0_37 <=> relation_dom(relation_inverse(sk0_74))=relation_rng(sk0_74)),
% 3.28/0.78 introduced(split_symbol_definition)).
% 3.28/0.78 fof(f1298,plain,(
% 3.28/0.78 relation_dom(relation_inverse(sk0_74))=relation_rng(sk0_74)|~spl0_37),
% 3.28/0.78 inference(component_clause,[status(thm)],[f1297])).
% 3.28/0.78 fof(f1300,plain,(
% 3.28/0.78 ~function(relation_inverse(sk0_74))|~relation_inverse(sk0_74)=relation_inverse(sk0_74)|relation_dom(relation_inverse(sk0_74))=relation_rng(sk0_74)|~spl0_4|~spl0_35|~spl0_6),
% 3.28/0.78 inference(resolution,[status(thm)],[f1293,f1047])).
% 3.28/0.78 fof(f1301,plain,(
% 3.28/0.78 ~spl0_5|~spl0_36|spl0_37|~spl0_4|~spl0_35|~spl0_6),
% 3.28/0.78 inference(split_clause,[status(thm)],[f1300,f1041,f1294,f1297,f1028,f1285,f1046])).
% 3.28/0.78 fof(f1313,plain,(
% 3.28/0.78 $false|spl0_36),
% 3.28/0.78 inference(trivial_equality_resolution,[status(esa)],[f1296])).
% 3.28/0.78 fof(f1314,plain,(
% 3.28/0.78 spl0_36),
% 3.28/0.78 inference(contradiction_clause,[status(thm)],[f1313])).
% 3.28/0.78 fof(f1315,plain,(
% 3.28/0.78 $false|~spl0_4|spl0_0|~spl0_37),
% 3.28/0.78 inference(forward_subsumption_resolution,[status(thm)],[f1298,f1040])).
% 3.28/0.78 fof(f1316,plain,(
% 3.28/0.78 ~spl0_4|spl0_0|~spl0_37),
% 3.28/0.78 inference(contradiction_clause,[status(thm)],[f1315])).
% 3.28/0.78 fof(f1485,plain,(
% 3.28/0.78 spl0_67 <=> relation_rng(relation_rng(relation_rng(relation_rng(empty_set))))=empty_set),
% 3.28/0.78 introduced(split_symbol_definition)).
% 3.28/0.78 fof(f1487,plain,(
% 3.28/0.78 ~relation_rng(relation_rng(relation_rng(relation_rng(empty_set))))=empty_set|spl0_67),
% 3.28/0.78 inference(component_clause,[status(thm)],[f1485])).
% 3.28/0.78 fof(f1573,plain,(
% 3.28/0.78 ~relation_rng(relation_rng(relation_rng(empty_set)))=empty_set|spl0_67),
% 3.28/0.78 inference(forward_demodulation,[status(thm)],[f899,f1487])).
% 3.28/0.78 fof(f1574,plain,(
% 3.28/0.78 ~relation_rng(relation_rng(empty_set))=empty_set|spl0_67),
% 3.28/0.78 inference(forward_demodulation,[status(thm)],[f899,f1573])).
% 3.28/0.78 fof(f1575,plain,(
% 3.28/0.78 ~relation_rng(empty_set)=empty_set|spl0_67),
% 3.28/0.78 inference(forward_demodulation,[status(thm)],[f899,f1574])).
% 3.28/0.78 fof(f1576,plain,(
% 3.28/0.78 ~empty_set=empty_set|spl0_67),
% 3.28/0.78 inference(forward_demodulation,[status(thm)],[f899,f1575])).
% 3.28/0.78 fof(f1577,plain,(
% 3.28/0.78 $false|spl0_67),
% 3.28/0.78 inference(trivial_equality_resolution,[status(esa)],[f1576])).
% 3.28/0.78 fof(f1578,plain,(
% 3.28/0.78 spl0_67),
% 3.28/0.78 inference(contradiction_clause,[status(thm)],[f1577])).
% 3.28/0.78 fof(f1597,plain,(
% 3.28/0.79 spl0_81 <=> function(sk0_53)),
% 3.28/0.79 introduced(split_symbol_definition)).
% 3.28/0.79 fof(f1599,plain,(
% 3.28/0.79 ~function(sk0_53)|spl0_81),
% 3.28/0.79 inference(component_clause,[status(thm)],[f1597])).
% 3.28/0.79 fof(f1681,plain,(
% 3.28/0.79 $false|spl0_81),
% 3.28/0.79 inference(forward_subsumption_resolution,[status(thm)],[f1599,f616])).
% 3.28/0.79 fof(f1682,plain,(
% 3.28/0.79 spl0_81),
% 3.28/0.79 inference(contradiction_clause,[status(thm)],[f1681])).
% 3.28/0.79 fof(f1746,plain,(
% 3.28/0.79 spl0_112 <=> function(sk0_54)),
% 3.28/0.79 introduced(split_symbol_definition)).
% 3.28/0.79 fof(f1748,plain,(
% 3.28/0.79 ~function(sk0_54)|spl0_112),
% 3.28/0.79 inference(component_clause,[status(thm)],[f1746])).
% 3.28/0.79 fof(f1947,plain,(
% 3.28/0.79 spl0_152 <=> function(sk0_56)),
% 3.28/0.79 introduced(split_symbol_definition)).
% 3.28/0.79 fof(f1949,plain,(
% 3.28/0.79 ~function(sk0_56)|spl0_152),
% 3.28/0.79 inference(component_clause,[status(thm)],[f1947])).
% 3.28/0.79 fof(f2096,plain,(
% 3.28/0.79 spl0_163 <=> function(sk0_57)),
% 3.28/0.79 introduced(split_symbol_definition)).
% 3.28/0.79 fof(f2098,plain,(
% 3.28/0.79 ~function(sk0_57)|spl0_163),
% 3.28/0.79 inference(component_clause,[status(thm)],[f2096])).
% 3.28/0.79 fof(f2177,plain,(
% 3.28/0.79 $false|spl0_163),
% 3.28/0.79 inference(forward_subsumption_resolution,[status(thm)],[f2098,f629])).
% 3.28/0.79 fof(f2178,plain,(
% 3.28/0.79 spl0_163),
% 3.28/0.79 inference(contradiction_clause,[status(thm)],[f2177])).
% 3.28/0.79 fof(f2425,plain,(
% 3.28/0.79 spl0_222 <=> function(sk0_61)),
% 3.28/0.79 introduced(split_symbol_definition)).
% 3.28/0.79 fof(f2427,plain,(
% 3.28/0.79 ~function(sk0_61)|spl0_222),
% 3.28/0.79 inference(component_clause,[status(thm)],[f2425])).
% 3.28/0.79 fof(f2506,plain,(
% 3.28/0.79 $false|spl0_222),
% 3.28/0.79 inference(forward_subsumption_resolution,[status(thm)],[f2427,f640])).
% 3.28/0.79 fof(f2507,plain,(
% 3.28/0.79 spl0_222),
% 3.28/0.79 inference(contradiction_clause,[status(thm)],[f2506])).
% 3.28/0.79 fof(f2545,plain,(
% 3.28/0.79 spl0_239 <=> relation(sk0_61)),
% 3.28/0.79 introduced(split_symbol_definition)).
% 3.28/0.79 fof(f2547,plain,(
% 3.28/0.79 ~relation(sk0_61)|spl0_239),
% 3.28/0.79 inference(component_clause,[status(thm)],[f2545])).
% 3.28/0.79 fof(f2558,plain,(
% 3.28/0.79 $false|spl0_239),
% 3.28/0.79 inference(forward_subsumption_resolution,[status(thm)],[f2547,f639])).
% 3.28/0.79 fof(f2559,plain,(
% 3.28/0.79 spl0_239),
% 3.28/0.79 inference(contradiction_clause,[status(thm)],[f2558])).
% 3.28/0.79 fof(f2984,plain,(
% 3.28/0.79 ~empty(sk0_56)|spl0_152),
% 3.28/0.79 inference(resolution,[status(thm)],[f1949,f238])).
% 3.28/0.79 fof(f2985,plain,(
% 3.28/0.79 $false|spl0_152),
% 3.28/0.79 inference(forward_subsumption_resolution,[status(thm)],[f2984,f625])).
% 3.28/0.79 fof(f2986,plain,(
% 3.28/0.79 spl0_152),
% 3.28/0.79 inference(contradiction_clause,[status(thm)],[f2985])).
% 3.28/0.79 fof(f3521,plain,(
% 3.28/0.79 ~empty(sk0_54)|spl0_112),
% 3.28/0.79 inference(resolution,[status(thm)],[f1748,f238])).
% 3.28/0.79 fof(f3522,plain,(
% 3.28/0.79 $false|spl0_112),
% 3.28/0.79 inference(forward_subsumption_resolution,[status(thm)],[f3521,f618])).
% 3.28/0.79 fof(f3523,plain,(
% 3.28/0.79 spl0_112),
% 3.28/0.79 inference(contradiction_clause,[status(thm)],[f3522])).
% 3.28/0.79 fof(f3567,plain,(
% 3.28/0.79 relation_dom(sk0_74)=relation_rng(relation_inverse(sk0_74))),
% 3.28/0.79 inference(resolution,[status(thm)],[f802,f888])).
% 3.28/0.79 fof(f3568,plain,(
% 3.28/0.79 $false|~spl0_4|spl0_1),
% 3.28/0.79 inference(forward_subsumption_resolution,[status(thm)],[f3567,f1116])).
% 3.28/0.79 fof(f3569,plain,(
% 3.28/0.79 ~spl0_4|spl0_1),
% 3.28/0.79 inference(contradiction_clause,[status(thm)],[f3568])).
% 3.28/0.79 fof(f3570,plain,(
% 3.28/0.79 $false),
% 3.28/0.79 inference(sat_refutation,[status(thm)],[f1003,f1032,f1037,f1039,f1045,f1050,f1289,f1301,f1314,f1316,f1578,f1682,f2178,f2507,f2559,f2986,f3523,f3569])).
% 3.28/0.79 % SZS output end CNFRefutation for theBenchmark.p
% 3.28/0.81 % Elapsed time: 0.478525 seconds
% 3.28/0.81 % CPU time: 3.540819 seconds
% 3.28/0.81 % Total memory used: 117.729 MB
% 3.28/0.81 % Net memory used: 116.532 MB
%------------------------------------------------------------------------------