TSTP Solution File: SEU039+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU039+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.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 12:35:44 EDT 2023
% Result : Theorem 0.16s 0.38s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU039+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n001.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 09:49:15 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.31 % Drodi V3.5.1
% 0.16/0.38 % Refutation found
% 0.16/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.38 fof(f5,axiom,(
% 0.16/0.38 (! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) )),
% 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.38 fof(f6,axiom,(
% 0.16/0.38 (! [A,B,C] :( C = set_intersection2(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)& in(D,B) ) ) )) )),
% 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.38 fof(f7,axiom,(
% 0.16/0.38 (! [A] :( ( relation(A)& function(A) )=> (! [B] :( B = relation_rng(A)<=> (! [C] :( in(C,B)<=> (? [D] :( in(D,relation_dom(A))& C = apply(A,D) ) )) )) )) )),
% 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.38 fof(f8,axiom,(
% 0.16/0.38 (! [A,B] :( relation(A)=> relation(relation_dom_restriction(A,B)) ) )),
% 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.38 fof(f15,axiom,(
% 0.16/0.38 (! [A,B] :( ( relation(A)& function(A) )=> ( relation(relation_dom_restriction(A,B))& function(relation_dom_restriction(A,B)) ) ) )),
% 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.38 fof(f39,axiom,(
% 0.16/0.38 (! [A,B] :( ( relation(B)& function(B) )=> (! [C] :( ( relation(C)& function(C) )=> ( B = relation_dom_restriction(C,A)<=> ( relation_dom(B) = set_intersection2(relation_dom(C),A)& (! [D] :( in(D,relation_dom(B))=> apply(B,D) = apply(C,D) ) )) ) ) )) )),
% 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.38 fof(f41,axiom,(
% 0.16/0.38 (! [A,B,C] :( ( relation(C)& function(C) )=> ( in(B,A)=> apply(relation_dom_restriction(C,A),B) = apply(C,B) ) ) )),
% 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.38 fof(f42,conjecture,(
% 0.16/0.38 (! [A,B,C] :( ( relation(C)& function(C) )=> ( ( in(B,relation_dom(C))& in(B,A) )=> in(apply(C,B),relation_rng(relation_dom_restriction(C,A))) ) ) )),
% 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.38 fof(f43,negated_conjecture,(
% 0.16/0.38 ~((! [A,B,C] :( ( relation(C)& function(C) )=> ( ( in(B,relation_dom(C))& in(B,A) )=> in(apply(C,B),relation_rng(relation_dom_restriction(C,A))) ) ) ))),
% 0.16/0.38 inference(negated_conjecture,[status(cth)],[f42])).
% 0.16/0.38 fof(f56,plain,(
% 0.16/0.38 ![X0,X1]: (set_intersection2(X0,X1)=set_intersection2(X1,X0))),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f5])).
% 0.16/0.38 fof(f57,plain,(
% 0.16/0.38 ![A,B,C]: ((~C=set_intersection2(A,B)|(![D]: ((~in(D,C)|(in(D,A)&in(D,B)))&(in(D,C)|(~in(D,A)|~in(D,B))))))&(C=set_intersection2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|~in(D,B)))&(in(D,C)|(in(D,A)&in(D,B)))))))),
% 0.16/0.38 inference(NNF_transformation,[status(esa)],[f6])).
% 0.16/0.38 fof(f58,plain,(
% 0.16/0.38 (![A,B,C]: (~C=set_intersection2(A,B)|((![D]: (~in(D,C)|(in(D,A)&in(D,B))))&(![D]: (in(D,C)|(~in(D,A)|~in(D,B)))))))&(![A,B,C]: (C=set_intersection2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|~in(D,B)))&(in(D,C)|(in(D,A)&in(D,B)))))))),
% 0.16/0.38 inference(miniscoping,[status(esa)],[f57])).
% 0.16/0.38 fof(f59,plain,(
% 0.16/0.38 (![A,B,C]: (~C=set_intersection2(A,B)|((![D]: (~in(D,C)|(in(D,A)&in(D,B))))&(![D]: (in(D,C)|(~in(D,A)|~in(D,B)))))))&(![A,B,C]: (C=set_intersection2(A,B)|((~in(sk0_0(C,B,A),C)|(~in(sk0_0(C,B,A),A)|~in(sk0_0(C,B,A),B)))&(in(sk0_0(C,B,A),C)|(in(sk0_0(C,B,A),A)&in(sk0_0(C,B,A),B))))))),
% 0.16/0.38 inference(skolemization,[status(esa)],[f58])).
% 0.16/0.38 fof(f62,plain,(
% 0.16/0.38 ![X0,X1,X2,X3]: (~X0=set_intersection2(X1,X2)|in(X3,X0)|~in(X3,X1)|~in(X3,X2))),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f59])).
% 0.16/0.38 fof(f66,plain,(
% 0.16/0.38 ![A]: ((~relation(A)|~function(A))|(![B]: (B=relation_rng(A)<=>(![C]: (in(C,B)<=>(?[D]: (in(D,relation_dom(A))&C=apply(A,D))))))))),
% 0.16/0.38 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.16/0.38 fof(f67,plain,(
% 0.16/0.38 ![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))))))))))),
% 0.16/0.38 inference(NNF_transformation,[status(esa)],[f66])).
% 0.16/0.38 fof(f68,plain,(
% 0.16/0.38 ![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))))))))))),
% 0.16/0.38 inference(miniscoping,[status(esa)],[f67])).
% 0.16/0.38 fof(f69,plain,(
% 0.16/0.38 ![A]: ((~relation(A)|~function(A))|((![B]: (~B=relation_rng(A)|((![C]: (~in(C,B)|(in(sk0_1(C,B,A),relation_dom(A))&C=apply(A,sk0_1(C,B,A)))))&(![C]: (in(C,B)|(![D]: (~in(D,relation_dom(A))|~C=apply(A,D))))))))&(![B]: (B=relation_rng(A)|((~in(sk0_2(B,A),B)|(![D]: (~in(D,relation_dom(A))|~sk0_2(B,A)=apply(A,D))))&(in(sk0_2(B,A),B)|(in(sk0_3(B,A),relation_dom(A))&sk0_2(B,A)=apply(A,sk0_3(B,A)))))))))),
% 0.16/0.38 inference(skolemization,[status(esa)],[f68])).
% 0.16/0.38 fof(f72,plain,(
% 0.16/0.38 ![X0,X1,X2,X3]: (~relation(X0)|~function(X0)|~X1=relation_rng(X0)|in(X2,X1)|~in(X3,relation_dom(X0))|~X2=apply(X0,X3))),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f69])).
% 0.16/0.38 fof(f76,plain,(
% 0.16/0.38 ![A,B]: (~relation(A)|relation(relation_dom_restriction(A,B)))),
% 0.16/0.38 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.16/0.38 fof(f77,plain,(
% 0.16/0.38 ![A]: (~relation(A)|(![B]: relation(relation_dom_restriction(A,B))))),
% 0.16/0.38 inference(miniscoping,[status(esa)],[f76])).
% 0.16/0.38 fof(f78,plain,(
% 0.16/0.38 ![X0,X1]: (~relation(X0)|relation(relation_dom_restriction(X0,X1)))),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f77])).
% 0.16/0.38 fof(f92,plain,(
% 0.16/0.38 ![A,B]: ((~relation(A)|~function(A))|(relation(relation_dom_restriction(A,B))&function(relation_dom_restriction(A,B))))),
% 0.16/0.38 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.16/0.38 fof(f93,plain,(
% 0.16/0.38 ![A]: ((~relation(A)|~function(A))|((![B]: relation(relation_dom_restriction(A,B)))&(![B]: function(relation_dom_restriction(A,B)))))),
% 0.16/0.38 inference(miniscoping,[status(esa)],[f92])).
% 0.16/0.38 fof(f95,plain,(
% 0.16/0.38 ![X0,X1]: (~relation(X0)|~function(X0)|function(relation_dom_restriction(X0,X1)))),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f93])).
% 0.16/0.38 fof(f158,plain,(
% 0.16/0.38 ![A,B]: ((~relation(B)|~function(B))|(![C]: ((~relation(C)|~function(C))|(B=relation_dom_restriction(C,A)<=>(relation_dom(B)=set_intersection2(relation_dom(C),A)&(![D]: (~in(D,relation_dom(B))|apply(B,D)=apply(C,D))))))))),
% 0.16/0.38 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 0.16/0.38 fof(f159,plain,(
% 0.16/0.38 ![A,B]: ((~relation(B)|~function(B))|(![C]: ((~relation(C)|~function(C))|((~B=relation_dom_restriction(C,A)|(relation_dom(B)=set_intersection2(relation_dom(C),A)&(![D]: (~in(D,relation_dom(B))|apply(B,D)=apply(C,D)))))&(B=relation_dom_restriction(C,A)|(~relation_dom(B)=set_intersection2(relation_dom(C),A)|(?[D]: (in(D,relation_dom(B))&~apply(B,D)=apply(C,D)))))))))),
% 0.16/0.38 inference(NNF_transformation,[status(esa)],[f158])).
% 0.16/0.38 fof(f160,plain,(
% 0.16/0.38 ![B]: ((~relation(B)|~function(B))|(![C]: ((~relation(C)|~function(C))|((![A]: (~B=relation_dom_restriction(C,A)|(relation_dom(B)=set_intersection2(relation_dom(C),A)&(![D]: (~in(D,relation_dom(B))|apply(B,D)=apply(C,D))))))&(![A]: (B=relation_dom_restriction(C,A)|(~relation_dom(B)=set_intersection2(relation_dom(C),A)|(?[D]: (in(D,relation_dom(B))&~apply(B,D)=apply(C,D))))))))))),
% 0.16/0.38 inference(miniscoping,[status(esa)],[f159])).
% 0.16/0.38 fof(f161,plain,(
% 0.16/0.38 ![B]: ((~relation(B)|~function(B))|(![C]: ((~relation(C)|~function(C))|((![A]: (~B=relation_dom_restriction(C,A)|(relation_dom(B)=set_intersection2(relation_dom(C),A)&(![D]: (~in(D,relation_dom(B))|apply(B,D)=apply(C,D))))))&(![A]: (B=relation_dom_restriction(C,A)|(~relation_dom(B)=set_intersection2(relation_dom(C),A)|(in(sk0_15(A,C,B),relation_dom(B))&~apply(B,sk0_15(A,C,B))=apply(C,sk0_15(A,C,B))))))))))),
% 0.16/0.38 inference(skolemization,[status(esa)],[f160])).
% 0.16/0.38 fof(f162,plain,(
% 0.16/0.38 ![X0,X1,X2]: (~relation(X0)|~function(X0)|~relation(X1)|~function(X1)|~X0=relation_dom_restriction(X1,X2)|relation_dom(X0)=set_intersection2(relation_dom(X1),X2))),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f161])).
% 0.16/0.38 fof(f168,plain,(
% 0.16/0.38 ![A,B,C]: ((~relation(C)|~function(C))|(~in(B,A)|apply(relation_dom_restriction(C,A),B)=apply(C,B)))),
% 0.16/0.38 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 0.16/0.38 fof(f169,plain,(
% 0.16/0.38 ![C]: ((~relation(C)|~function(C))|(![A,B]: (~in(B,A)|apply(relation_dom_restriction(C,A),B)=apply(C,B))))),
% 0.16/0.38 inference(miniscoping,[status(esa)],[f168])).
% 0.16/0.38 fof(f170,plain,(
% 0.16/0.38 ![X0,X1,X2]: (~relation(X0)|~function(X0)|~in(X1,X2)|apply(relation_dom_restriction(X0,X2),X1)=apply(X0,X1))),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f169])).
% 0.16/0.38 fof(f171,plain,(
% 0.16/0.38 (?[A,B,C]: ((relation(C)&function(C))&((in(B,relation_dom(C))&in(B,A))&~in(apply(C,B),relation_rng(relation_dom_restriction(C,A))))))),
% 0.16/0.38 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 0.16/0.38 fof(f172,plain,(
% 0.16/0.38 ?[C]: ((relation(C)&function(C))&(?[A,B]: ((in(B,relation_dom(C))&in(B,A))&~in(apply(C,B),relation_rng(relation_dom_restriction(C,A))))))),
% 0.16/0.38 inference(miniscoping,[status(esa)],[f171])).
% 0.16/0.38 fof(f173,plain,(
% 0.16/0.38 ((relation(sk0_16)&function(sk0_16))&((in(sk0_18,relation_dom(sk0_16))&in(sk0_18,sk0_17))&~in(apply(sk0_16,sk0_18),relation_rng(relation_dom_restriction(sk0_16,sk0_17)))))),
% 0.16/0.38 inference(skolemization,[status(esa)],[f172])).
% 0.16/0.38 fof(f174,plain,(
% 0.16/0.38 relation(sk0_16)),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f173])).
% 0.16/0.38 fof(f175,plain,(
% 0.16/0.38 function(sk0_16)),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f173])).
% 0.16/0.38 fof(f176,plain,(
% 0.16/0.38 in(sk0_18,relation_dom(sk0_16))),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f173])).
% 0.16/0.38 fof(f177,plain,(
% 0.16/0.38 in(sk0_18,sk0_17)),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f173])).
% 0.16/0.38 fof(f178,plain,(
% 0.16/0.38 ~in(apply(sk0_16,sk0_18),relation_rng(relation_dom_restriction(sk0_16,sk0_17)))),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f173])).
% 0.16/0.38 fof(f187,plain,(
% 0.16/0.38 ![X0,X1,X2]: (in(X0,set_intersection2(X1,X2))|~in(X0,X1)|~in(X0,X2))),
% 0.16/0.38 inference(destructive_equality_resolution,[status(esa)],[f62])).
% 0.16/0.38 fof(f190,plain,(
% 0.16/0.38 ![X0,X1]: (~relation(X0)|~function(X0)|in(apply(X0,X1),relation_rng(X0))|~in(X1,relation_dom(X0)))),
% 0.16/0.38 inference(destructive_equality_resolution,[status(esa)],[f72])).
% 0.16/0.38 fof(f191,plain,(
% 0.16/0.38 ![X0,X1]: (~relation(relation_dom_restriction(X0,X1))|~function(relation_dom_restriction(X0,X1))|~relation(X0)|~function(X0)|relation_dom(relation_dom_restriction(X0,X1))=set_intersection2(relation_dom(X0),X1))),
% 0.16/0.38 inference(destructive_equality_resolution,[status(esa)],[f162])).
% 0.16/0.38 fof(f199,plain,(
% 0.16/0.38 ![X0]: (~relation(X0)|~function(X0)|apply(relation_dom_restriction(X0,sk0_17),sk0_18)=apply(X0,sk0_18))),
% 0.16/0.38 inference(resolution,[status(thm)],[f170,f177])).
% 0.16/0.38 fof(f218,plain,(
% 0.16/0.38 spl0_4 <=> relation(sk0_16)),
% 0.16/0.38 introduced(split_symbol_definition)).
% 0.16/0.38 fof(f220,plain,(
% 0.16/0.38 ~relation(sk0_16)|spl0_4),
% 0.16/0.38 inference(component_clause,[status(thm)],[f218])).
% 0.16/0.38 fof(f221,plain,(
% 0.16/0.38 spl0_5 <=> apply(relation_dom_restriction(sk0_16,sk0_17),sk0_18)=apply(sk0_16,sk0_18)),
% 0.16/0.38 introduced(split_symbol_definition)).
% 0.16/0.38 fof(f222,plain,(
% 0.16/0.38 apply(relation_dom_restriction(sk0_16,sk0_17),sk0_18)=apply(sk0_16,sk0_18)|~spl0_5),
% 0.16/0.38 inference(component_clause,[status(thm)],[f221])).
% 0.16/0.38 fof(f224,plain,(
% 0.16/0.38 ~relation(sk0_16)|apply(relation_dom_restriction(sk0_16,sk0_17),sk0_18)=apply(sk0_16,sk0_18)),
% 0.16/0.38 inference(resolution,[status(thm)],[f199,f175])).
% 0.16/0.38 fof(f225,plain,(
% 0.16/0.38 ~spl0_4|spl0_5),
% 0.16/0.38 inference(split_clause,[status(thm)],[f224,f218,f221])).
% 0.16/0.38 fof(f228,plain,(
% 0.16/0.38 $false|spl0_4),
% 0.16/0.38 inference(forward_subsumption_resolution,[status(thm)],[f220,f174])).
% 0.16/0.38 fof(f229,plain,(
% 0.16/0.38 spl0_4),
% 0.16/0.38 inference(contradiction_clause,[status(thm)],[f228])).
% 0.16/0.38 fof(f234,plain,(
% 0.16/0.38 spl0_6 <=> relation(relation_dom_restriction(sk0_16,sk0_17))),
% 0.16/0.38 introduced(split_symbol_definition)).
% 0.16/0.38 fof(f236,plain,(
% 0.16/0.38 ~relation(relation_dom_restriction(sk0_16,sk0_17))|spl0_6),
% 0.16/0.38 inference(component_clause,[status(thm)],[f234])).
% 0.16/0.38 fof(f237,plain,(
% 0.16/0.38 spl0_7 <=> function(relation_dom_restriction(sk0_16,sk0_17))),
% 0.16/0.38 introduced(split_symbol_definition)).
% 0.16/0.38 fof(f239,plain,(
% 0.16/0.38 ~function(relation_dom_restriction(sk0_16,sk0_17))|spl0_7),
% 0.16/0.38 inference(component_clause,[status(thm)],[f237])).
% 0.16/0.38 fof(f240,plain,(
% 0.16/0.38 spl0_8 <=> in(apply(sk0_16,sk0_18),relation_rng(relation_dom_restriction(sk0_16,sk0_17)))),
% 0.16/0.38 introduced(split_symbol_definition)).
% 0.16/0.38 fof(f241,plain,(
% 0.16/0.38 in(apply(sk0_16,sk0_18),relation_rng(relation_dom_restriction(sk0_16,sk0_17)))|~spl0_8),
% 0.16/0.38 inference(component_clause,[status(thm)],[f240])).
% 0.16/0.38 fof(f243,plain,(
% 0.16/0.38 spl0_9 <=> in(sk0_18,relation_dom(relation_dom_restriction(sk0_16,sk0_17)))),
% 0.16/0.38 introduced(split_symbol_definition)).
% 0.16/0.38 fof(f245,plain,(
% 0.16/0.38 ~in(sk0_18,relation_dom(relation_dom_restriction(sk0_16,sk0_17)))|spl0_9),
% 0.16/0.38 inference(component_clause,[status(thm)],[f243])).
% 0.16/0.38 fof(f246,plain,(
% 0.16/0.38 ~relation(relation_dom_restriction(sk0_16,sk0_17))|~function(relation_dom_restriction(sk0_16,sk0_17))|in(apply(sk0_16,sk0_18),relation_rng(relation_dom_restriction(sk0_16,sk0_17)))|~in(sk0_18,relation_dom(relation_dom_restriction(sk0_16,sk0_17)))|~spl0_5),
% 0.16/0.38 inference(paramodulation,[status(thm)],[f222,f190])).
% 0.16/0.38 fof(f247,plain,(
% 0.16/0.38 ~spl0_6|~spl0_7|spl0_8|~spl0_9|~spl0_5),
% 0.16/0.38 inference(split_clause,[status(thm)],[f246,f234,f237,f240,f243,f221])).
% 0.16/0.38 fof(f623,plain,(
% 0.16/0.38 spl0_93 <=> function(sk0_16)),
% 0.16/0.38 introduced(split_symbol_definition)).
% 0.16/0.38 fof(f625,plain,(
% 0.16/0.38 ~function(sk0_16)|spl0_93),
% 0.16/0.38 inference(component_clause,[status(thm)],[f623])).
% 0.16/0.38 fof(f631,plain,(
% 0.16/0.38 $false|spl0_93),
% 0.16/0.38 inference(forward_subsumption_resolution,[status(thm)],[f625,f175])).
% 0.16/0.38 fof(f632,plain,(
% 0.16/0.38 spl0_93),
% 0.16/0.38 inference(contradiction_clause,[status(thm)],[f631])).
% 0.16/0.38 fof(f633,plain,(
% 0.16/0.38 ![X0,X1]: (~function(relation_dom_restriction(X0,X1))|~relation(X0)|~function(X0)|relation_dom(relation_dom_restriction(X0,X1))=set_intersection2(relation_dom(X0),X1))),
% 0.16/0.38 inference(forward_subsumption_resolution,[status(thm)],[f191,f78])).
% 0.16/0.38 fof(f659,plain,(
% 0.16/0.38 ![X0,X1]: (~relation(X0)|~function(X0)|relation_dom(relation_dom_restriction(X0,X1))=set_intersection2(relation_dom(X0),X1)|~relation(X0)|~function(X0))),
% 0.16/0.38 inference(resolution,[status(thm)],[f633,f95])).
% 0.16/0.38 fof(f660,plain,(
% 0.16/0.38 ![X0,X1]: (~relation(X0)|~function(X0)|relation_dom(relation_dom_restriction(X0,X1))=set_intersection2(relation_dom(X0),X1))),
% 0.16/0.38 inference(duplicate_literals_removal,[status(esa)],[f659])).
% 0.16/0.38 fof(f724,plain,(
% 0.16/0.38 ![X0]: (in(sk0_18,set_intersection2(X0,sk0_17))|~in(sk0_18,X0))),
% 0.16/0.38 inference(resolution,[status(thm)],[f187,f177])).
% 0.16/0.38 fof(f933,plain,(
% 0.16/0.38 in(sk0_18,set_intersection2(relation_dom(sk0_16),sk0_17))),
% 0.16/0.38 inference(resolution,[status(thm)],[f724,f176])).
% 0.16/0.38 fof(f934,plain,(
% 0.16/0.38 in(sk0_18,set_intersection2(sk0_17,relation_dom(sk0_16)))),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f56,f933])).
% 0.16/0.38 fof(f1181,plain,(
% 0.16/0.38 spl0_165 <=> relation_dom(relation_dom_restriction(sk0_16,X0))=set_intersection2(relation_dom(sk0_16),X0)),
% 0.16/0.38 introduced(split_symbol_definition)).
% 0.16/0.38 fof(f1182,plain,(
% 0.16/0.38 ![X0]: (relation_dom(relation_dom_restriction(sk0_16,X0))=set_intersection2(relation_dom(sk0_16),X0)|~spl0_165)),
% 0.16/0.38 inference(component_clause,[status(thm)],[f1181])).
% 0.16/0.38 fof(f1184,plain,(
% 0.16/0.38 ![X0]: (~relation(sk0_16)|relation_dom(relation_dom_restriction(sk0_16,X0))=set_intersection2(relation_dom(sk0_16),X0))),
% 0.16/0.38 inference(resolution,[status(thm)],[f660,f175])).
% 0.16/0.38 fof(f1185,plain,(
% 0.16/0.38 ~spl0_4|spl0_165),
% 0.16/0.38 inference(split_clause,[status(thm)],[f1184,f218,f1181])).
% 0.16/0.38 fof(f1404,plain,(
% 0.16/0.38 ~in(sk0_18,set_intersection2(relation_dom(sk0_16),sk0_17))|~spl0_165|spl0_9),
% 0.16/0.38 inference(backward_demodulation,[status(thm)],[f1182,f245])).
% 0.16/0.38 fof(f1405,plain,(
% 0.16/0.38 ~in(sk0_18,set_intersection2(sk0_17,relation_dom(sk0_16)))|~spl0_165|spl0_9),
% 0.16/0.38 inference(forward_demodulation,[status(thm)],[f56,f1404])).
% 0.16/0.38 fof(f1406,plain,(
% 0.16/0.38 $false|~spl0_165|spl0_9),
% 0.16/0.38 inference(forward_subsumption_resolution,[status(thm)],[f1405,f934])).
% 0.16/0.38 fof(f1407,plain,(
% 0.16/0.38 ~spl0_165|spl0_9),
% 0.16/0.38 inference(contradiction_clause,[status(thm)],[f1406])).
% 0.16/0.38 fof(f1432,plain,(
% 0.16/0.38 ~relation(sk0_16)|~function(sk0_16)|spl0_7),
% 0.16/0.38 inference(resolution,[status(thm)],[f239,f95])).
% 0.16/0.38 fof(f1433,plain,(
% 0.16/0.38 ~spl0_4|~spl0_93|spl0_7),
% 0.16/0.38 inference(split_clause,[status(thm)],[f1432,f218,f623,f237])).
% 0.16/0.38 fof(f1435,plain,(
% 0.16/0.38 ~relation(sk0_16)|spl0_6),
% 0.16/0.38 inference(resolution,[status(thm)],[f236,f78])).
% 0.16/0.38 fof(f1436,plain,(
% 0.16/0.38 ~spl0_4|spl0_6),
% 0.16/0.38 inference(split_clause,[status(thm)],[f1435,f218,f234])).
% 0.16/0.38 fof(f1438,plain,(
% 0.16/0.38 $false|~spl0_8),
% 0.16/0.38 inference(forward_subsumption_resolution,[status(thm)],[f241,f178])).
% 0.16/0.38 fof(f1439,plain,(
% 0.16/0.38 ~spl0_8),
% 0.16/0.38 inference(contradiction_clause,[status(thm)],[f1438])).
% 0.16/0.38 fof(f1440,plain,(
% 0.16/0.38 $false),
% 0.16/0.38 inference(sat_refutation,[status(thm)],[f225,f229,f247,f632,f1185,f1407,f1433,f1436,f1439])).
% 0.16/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.41 % Elapsed time: 0.094710 seconds
% 0.16/0.41 % CPU time: 0.268862 seconds
% 0.16/0.41 % Memory used: 27.365 MB
%------------------------------------------------------------------------------