TSTP Solution File: SEU215+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU215+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 12:36:18 EDT 2023
% Result : Theorem 0.20s 0.56s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU215+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 09:45:59 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 0.20/0.56 % Refutation found
% 0.20/0.56 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.56 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.56 fof(f5,axiom,(
% 0.20/0.56 (! [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 ) ) ) )) )),
% 0.20/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.56 fof(f13,axiom,(
% 0.20/0.56 (! [A,B] :( ( relation(A)& relation(B) )=> relation(relation_composition(A,B)) ) )),
% 0.20/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.56 fof(f18,axiom,(
% 0.20/0.56 (! [A,B] :( ( relation(A)& function(A)& relation(B)& function(B) )=> ( relation(relation_composition(A,B))& function(relation_composition(A,B)) ) ) )),
% 0.20/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.56 fof(f34,axiom,(
% 0.20/0.56 (! [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)) ) ) ) )) )),
% 0.20/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.56 fof(f35,axiom,(
% 0.20/0.56 (! [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)) ) ) )) )),
% 0.20/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.56 fof(f36,conjecture,(
% 0.20/0.56 (! [A,B] :( ( relation(B)& function(B) )=> (! [C] :( ( relation(C)& function(C) )=> ( in(A,relation_dom(B))=> apply(relation_composition(B,C),A) = apply(C,apply(B,A)) ) ) )) )),
% 0.20/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.56 fof(f37,negated_conjecture,(
% 0.20/0.56 ~((! [A,B] :( ( relation(B)& function(B) )=> (! [C] :( ( relation(C)& function(C) )=> ( in(A,relation_dom(B))=> apply(relation_composition(B,C),A) = apply(C,apply(B,A)) ) ) )) ))),
% 0.20/0.56 inference(negated_conjecture,[status(cth)],[f36])).
% 0.20/0.56 fof(f49,plain,(
% 0.20/0.56 ![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)))))),
% 0.20/0.56 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.20/0.56 fof(f50,plain,(
% 0.20/0.56 ![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))))))),
% 0.20/0.56 inference(NNF_transformation,[status(esa)],[f49])).
% 0.20/0.56 fof(f51,plain,(
% 0.20/0.56 ![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)))))))),
% 0.20/0.56 inference(miniscoping,[status(esa)],[f50])).
% 0.20/0.56 fof(f54,plain,(
% 0.20/0.56 ![X0,X1,X2]: (~relation(X0)|~function(X0)|in(X1,relation_dom(X0))|~X2=apply(X0,X1)|X2=empty_set)),
% 0.20/0.56 inference(cnf_transformation,[status(esa)],[f51])).
% 0.20/0.56 fof(f55,plain,(
% 0.20/0.56 ![X0,X1,X2]: (~relation(X0)|~function(X0)|in(X1,relation_dom(X0))|X2=apply(X0,X1)|~X2=empty_set)),
% 0.20/0.56 inference(cnf_transformation,[status(esa)],[f51])).
% 0.20/0.56 fof(f57,plain,(
% 0.20/0.56 ![A,B]: ((~relation(A)|~relation(B))|relation(relation_composition(A,B)))),
% 0.20/0.56 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.20/0.56 fof(f58,plain,(
% 0.20/0.56 ![X0,X1]: (~relation(X0)|~relation(X1)|relation(relation_composition(X0,X1)))),
% 0.20/0.56 inference(cnf_transformation,[status(esa)],[f57])).
% 0.20/0.56 fof(f67,plain,(
% 0.20/0.56 ![A,B]: ((((~relation(A)|~function(A))|~relation(B))|~function(B))|(relation(relation_composition(A,B))&function(relation_composition(A,B))))),
% 0.20/0.56 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 0.20/0.56 fof(f69,plain,(
% 0.20/0.56 ![X0,X1]: (~relation(X0)|~function(X0)|~relation(X1)|~function(X1)|function(relation_composition(X0,X1)))),
% 0.20/0.56 inference(cnf_transformation,[status(esa)],[f67])).
% 0.20/0.56 fof(f102,plain,(
% 0.20/0.56 ![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)))))))),
% 0.20/0.56 inference(pre_NNF_transformation,[status(esa)],[f34])).
% 0.20/0.57 fof(f103,plain,(
% 0.20/0.57 ![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))))))))),
% 0.20/0.57 inference(NNF_transformation,[status(esa)],[f102])).
% 0.20/0.57 fof(f104,plain,(
% 0.20/0.57 ![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)))))))))),
% 0.20/0.57 inference(miniscoping,[status(esa)],[f103])).
% 0.20/0.57 fof(f107,plain,(
% 0.20/0.57 ![X0,X1,X2]: (~relation(X0)|~function(X0)|~relation(X1)|~function(X1)|in(X2,relation_dom(relation_composition(X1,X0)))|~in(X2,relation_dom(X1))|~in(apply(X1,X2),relation_dom(X0)))),
% 0.20/0.57 inference(cnf_transformation,[status(esa)],[f104])).
% 0.20/0.57 fof(f108,plain,(
% 0.20/0.57 ![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))))))),
% 0.20/0.57 inference(pre_NNF_transformation,[status(esa)],[f35])).
% 0.20/0.57 fof(f109,plain,(
% 0.20/0.57 ![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)))))))),
% 0.20/0.57 inference(miniscoping,[status(esa)],[f108])).
% 0.20/0.57 fof(f110,plain,(
% 0.20/0.57 ![X0,X1,X2]: (~relation(X0)|~function(X0)|~relation(X1)|~function(X1)|~in(X2,relation_dom(relation_composition(X1,X0)))|apply(relation_composition(X1,X0),X2)=apply(X0,apply(X1,X2)))),
% 0.20/0.57 inference(cnf_transformation,[status(esa)],[f109])).
% 0.20/0.57 fof(f111,plain,(
% 0.20/0.57 (?[A,B]: ((relation(B)&function(B))&(?[C]: ((relation(C)&function(C))&(in(A,relation_dom(B))&~apply(relation_composition(B,C),A)=apply(C,apply(B,A)))))))),
% 0.20/0.57 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 0.20/0.57 fof(f112,plain,(
% 0.20/0.57 ?[B]: ((relation(B)&function(B))&(?[C]: ((relation(C)&function(C))&(?[A]: (in(A,relation_dom(B))&~apply(relation_composition(B,C),A)=apply(C,apply(B,A)))))))),
% 0.20/0.57 inference(miniscoping,[status(esa)],[f111])).
% 0.20/0.57 fof(f113,plain,(
% 0.20/0.57 ((relation(sk0_7)&function(sk0_7))&((relation(sk0_8)&function(sk0_8))&(in(sk0_9,relation_dom(sk0_7))&~apply(relation_composition(sk0_7,sk0_8),sk0_9)=apply(sk0_8,apply(sk0_7,sk0_9)))))),
% 0.20/0.57 inference(skolemization,[status(esa)],[f112])).
% 0.20/0.57 fof(f114,plain,(
% 0.20/0.57 relation(sk0_7)),
% 0.20/0.57 inference(cnf_transformation,[status(esa)],[f113])).
% 0.20/0.57 fof(f115,plain,(
% 0.20/0.57 function(sk0_7)),
% 0.20/0.57 inference(cnf_transformation,[status(esa)],[f113])).
% 0.20/0.57 fof(f116,plain,(
% 0.20/0.57 relation(sk0_8)),
% 0.20/0.57 inference(cnf_transformation,[status(esa)],[f113])).
% 0.20/0.57 fof(f117,plain,(
% 0.20/0.57 function(sk0_8)),
% 0.20/0.57 inference(cnf_transformation,[status(esa)],[f113])).
% 0.20/0.57 fof(f118,plain,(
% 0.20/0.57 in(sk0_9,relation_dom(sk0_7))),
% 0.20/0.57 inference(cnf_transformation,[status(esa)],[f113])).
% 0.20/0.57 fof(f119,plain,(
% 0.20/0.57 ~apply(relation_composition(sk0_7,sk0_8),sk0_9)=apply(sk0_8,apply(sk0_7,sk0_9))),
% 0.20/0.57 inference(cnf_transformation,[status(esa)],[f113])).
% 0.20/0.57 fof(f168,plain,(
% 0.20/0.57 spl0_2 <=> relation(sk0_8)),
% 0.20/0.57 introduced(split_symbol_definition)).
% 0.20/0.57 fof(f170,plain,(
% 0.20/0.57 ~relation(sk0_8)|spl0_2),
% 0.20/0.57 inference(component_clause,[status(thm)],[f168])).
% 0.20/0.57 fof(f171,plain,(
% 0.20/0.57 spl0_3 <=> function(sk0_8)),
% 0.20/0.57 introduced(split_symbol_definition)).
% 0.20/0.57 fof(f173,plain,(
% 0.20/0.57 ~function(sk0_8)|spl0_3),
% 0.20/0.57 inference(component_clause,[status(thm)],[f171])).
% 0.20/0.57 fof(f174,plain,(
% 0.20/0.57 spl0_4 <=> relation(sk0_7)),
% 0.20/0.57 introduced(split_symbol_definition)).
% 0.20/0.57 fof(f176,plain,(
% 0.20/0.57 ~relation(sk0_7)|spl0_4),
% 0.20/0.57 inference(component_clause,[status(thm)],[f174])).
% 0.20/0.57 fof(f177,plain,(
% 0.20/0.57 spl0_5 <=> function(sk0_7)),
% 0.20/0.57 introduced(split_symbol_definition)).
% 0.20/0.57 fof(f179,plain,(
% 0.20/0.57 ~function(sk0_7)|spl0_5),
% 0.20/0.57 inference(component_clause,[status(thm)],[f177])).
% 0.20/0.57 fof(f180,plain,(
% 0.20/0.57 spl0_6 <=> in(sk0_9,relation_dom(relation_composition(sk0_7,sk0_8)))),
% 0.20/0.57 introduced(split_symbol_definition)).
% 0.20/0.57 fof(f182,plain,(
% 0.20/0.57 ~in(sk0_9,relation_dom(relation_composition(sk0_7,sk0_8)))|spl0_6),
% 0.20/0.57 inference(component_clause,[status(thm)],[f180])).
% 0.20/0.57 fof(f183,plain,(
% 0.20/0.57 ~relation(sk0_8)|~function(sk0_8)|~relation(sk0_7)|~function(sk0_7)|~in(sk0_9,relation_dom(relation_composition(sk0_7,sk0_8)))),
% 0.20/0.57 inference(resolution,[status(thm)],[f110,f119])).
% 0.20/0.57 fof(f184,plain,(
% 0.20/0.57 ~spl0_2|~spl0_3|~spl0_4|~spl0_5|~spl0_6),
% 0.20/0.57 inference(split_clause,[status(thm)],[f183,f168,f171,f174,f177,f180])).
% 0.20/0.57 fof(f260,plain,(
% 0.20/0.57 spl0_11 <=> relation(relation_composition(sk0_7,sk0_8))),
% 0.20/0.57 introduced(split_symbol_definition)).
% 0.20/0.57 fof(f262,plain,(
% 0.20/0.57 ~relation(relation_composition(sk0_7,sk0_8))|spl0_11),
% 0.20/0.57 inference(component_clause,[status(thm)],[f260])).
% 0.20/0.57 fof(f263,plain,(
% 0.20/0.57 spl0_12 <=> function(relation_composition(sk0_7,sk0_8))),
% 0.20/0.57 introduced(split_symbol_definition)).
% 0.20/0.57 fof(f265,plain,(
% 0.20/0.57 ~function(relation_composition(sk0_7,sk0_8))|spl0_12),
% 0.20/0.57 inference(component_clause,[status(thm)],[f263])).
% 0.20/0.57 fof(f271,plain,(
% 0.20/0.57 ![X0,X1,X2,X3]: (~relation(X0)|~function(X0)|~X1=apply(X0,apply(X2,X3))|X1=empty_set|~relation(X0)|~function(X0)|~relation(X2)|~function(X2)|in(X3,relation_dom(relation_composition(X2,X0)))|~in(X3,relation_dom(X2)))),
% 0.20/0.57 inference(resolution,[status(thm)],[f54,f107])).
% 0.20/0.57 fof(f272,plain,(
% 0.20/0.57 ![X0,X1,X2,X3]: (~relation(X0)|~function(X0)|~X1=apply(X0,apply(X2,X3))|X1=empty_set|~relation(X2)|~function(X2)|in(X3,relation_dom(relation_composition(X2,X0)))|~in(X3,relation_dom(X2)))),
% 0.20/0.57 inference(duplicate_literals_removal,[status(esa)],[f271])).
% 0.20/0.57 fof(f287,plain,(
% 0.20/0.57 $false|spl0_5),
% 0.20/0.57 inference(forward_subsumption_resolution,[status(thm)],[f179,f115])).
% 0.20/0.57 fof(f288,plain,(
% 0.20/0.57 spl0_5),
% 0.20/0.57 inference(contradiction_clause,[status(thm)],[f287])).
% 0.20/0.57 fof(f289,plain,(
% 0.20/0.57 $false|spl0_4),
% 0.20/0.57 inference(forward_subsumption_resolution,[status(thm)],[f176,f114])).
% 0.20/0.57 fof(f290,plain,(
% 0.20/0.57 spl0_4),
% 0.20/0.57 inference(contradiction_clause,[status(thm)],[f289])).
% 0.20/0.57 fof(f291,plain,(
% 0.20/0.57 $false|spl0_3),
% 0.20/0.57 inference(forward_subsumption_resolution,[status(thm)],[f173,f117])).
% 0.20/0.57 fof(f292,plain,(
% 0.20/0.57 spl0_3),
% 0.20/0.57 inference(contradiction_clause,[status(thm)],[f291])).
% 0.20/0.57 fof(f293,plain,(
% 0.20/0.57 $false|spl0_2),
% 0.20/0.57 inference(forward_subsumption_resolution,[status(thm)],[f170,f116])).
% 0.20/0.57 fof(f294,plain,(
% 0.20/0.57 spl0_2),
% 0.20/0.57 inference(contradiction_clause,[status(thm)],[f293])).
% 0.20/0.57 fof(f322,plain,(
% 0.20/0.57 ~relation(sk0_7)|~function(sk0_7)|~relation(sk0_8)|~function(sk0_8)|spl0_12),
% 0.20/0.57 inference(resolution,[status(thm)],[f265,f69])).
% 0.20/0.57 fof(f323,plain,(
% 0.20/0.57 ~spl0_4|~spl0_5|~spl0_2|~spl0_3|spl0_12),
% 0.20/0.57 inference(split_clause,[status(thm)],[f322,f174,f177,f168,f171,f263])).
% 0.20/0.57 fof(f332,plain,(
% 0.20/0.57 ~relation(sk0_7)|~relation(sk0_8)|spl0_11),
% 0.20/0.57 inference(resolution,[status(thm)],[f262,f58])).
% 0.20/0.57 fof(f333,plain,(
% 0.20/0.57 ~spl0_4|~spl0_2|spl0_11),
% 0.20/0.57 inference(split_clause,[status(thm)],[f332,f174,f168,f260])).
% 0.20/0.57 fof(f359,plain,(
% 0.20/0.57 spl0_20 <=> X0=apply(relation_composition(sk0_7,sk0_8),sk0_9)|~X0=empty_set),
% 0.20/0.57 introduced(split_symbol_definition)).
% 0.20/0.57 fof(f360,plain,(
% 0.20/0.57 ![X0]: (X0=apply(relation_composition(sk0_7,sk0_8),sk0_9)|~X0=empty_set|~spl0_20)),
% 0.20/0.57 inference(component_clause,[status(thm)],[f359])).
% 0.20/0.57 fof(f362,plain,(
% 0.20/0.57 ![X0]: (~relation(relation_composition(sk0_7,sk0_8))|~function(relation_composition(sk0_7,sk0_8))|X0=apply(relation_composition(sk0_7,sk0_8),sk0_9)|~X0=empty_set|spl0_6)),
% 0.20/0.57 inference(resolution,[status(thm)],[f182,f55])).
% 0.20/0.57 fof(f363,plain,(
% 0.20/0.57 ~spl0_11|~spl0_12|spl0_20|spl0_6),
% 0.20/0.57 inference(split_clause,[status(thm)],[f362,f260,f263,f359,f180])).
% 0.20/0.57 fof(f387,plain,(
% 0.20/0.57 ~apply(sk0_8,apply(sk0_7,sk0_9))=empty_set|~spl0_20),
% 0.20/0.57 inference(resolution,[status(thm)],[f360,f119])).
% 0.20/0.57 fof(f627,plain,(
% 0.20/0.57 spl0_48 <=> ~X0=apply(sk0_8,apply(sk0_7,sk0_9))|X0=empty_set),
% 0.20/0.57 introduced(split_symbol_definition)).
% 0.20/0.57 fof(f628,plain,(
% 0.20/0.57 ![X0]: (~X0=apply(sk0_8,apply(sk0_7,sk0_9))|X0=empty_set|~spl0_48)),
% 0.20/0.57 inference(component_clause,[status(thm)],[f627])).
% 0.20/0.57 fof(f630,plain,(
% 0.20/0.57 spl0_49 <=> in(sk0_9,relation_dom(sk0_7))),
% 0.20/0.57 introduced(split_symbol_definition)).
% 0.20/0.57 fof(f632,plain,(
% 0.20/0.57 ~in(sk0_9,relation_dom(sk0_7))|spl0_49),
% 0.20/0.57 inference(component_clause,[status(thm)],[f630])).
% 0.20/0.57 fof(f633,plain,(
% 0.20/0.57 ![X0]: (~relation(sk0_8)|~function(sk0_8)|~X0=apply(sk0_8,apply(sk0_7,sk0_9))|X0=empty_set|~relation(sk0_7)|~function(sk0_7)|~in(sk0_9,relation_dom(sk0_7))|spl0_6)),
% 0.20/0.57 inference(resolution,[status(thm)],[f272,f182])).
% 0.20/0.57 fof(f634,plain,(
% 0.20/0.57 ~spl0_2|~spl0_3|spl0_48|~spl0_4|~spl0_5|~spl0_49|spl0_6),
% 0.20/0.57 inference(split_clause,[status(thm)],[f633,f168,f171,f627,f174,f177,f630,f180])).
% 0.20/0.57 fof(f649,plain,(
% 0.20/0.57 $false|spl0_49),
% 0.20/0.57 inference(forward_subsumption_resolution,[status(thm)],[f632,f118])).
% 0.20/0.57 fof(f650,plain,(
% 0.20/0.57 spl0_49),
% 0.20/0.57 inference(contradiction_clause,[status(thm)],[f649])).
% 0.20/0.57 fof(f660,plain,(
% 0.20/0.57 apply(sk0_8,apply(sk0_7,sk0_9))=empty_set|~spl0_48),
% 0.20/0.57 inference(equality_resolution,[status(esa)],[f628])).
% 0.20/0.57 fof(f661,plain,(
% 0.20/0.57 $false|~spl0_20|~spl0_48),
% 0.20/0.57 inference(forward_subsumption_resolution,[status(thm)],[f660,f387])).
% 0.20/0.57 fof(f662,plain,(
% 0.20/0.57 ~spl0_20|~spl0_48),
% 0.20/0.57 inference(contradiction_clause,[status(thm)],[f661])).
% 0.20/0.57 fof(f663,plain,(
% 0.20/0.57 $false),
% 0.20/0.57 inference(sat_refutation,[status(thm)],[f184,f288,f290,f292,f294,f323,f333,f363,f634,f650,f662])).
% 0.20/0.57 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.58 % Elapsed time: 0.232005 seconds
% 0.20/0.58 % CPU time: 1.720349 seconds
% 0.20/0.58 % Memory used: 77.347 MB
%------------------------------------------------------------------------------