TSTP Solution File: SEU240+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU240+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 20:41:40 EDT 2024
% Result : Theorem 0.15s 0.34s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU240+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n004.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Mon Apr 29 19:42:33 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.6.0
% 0.15/0.34 % Refutation found
% 0.15/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.34 fof(f6,axiom,(
% 0.15/0.34 (! [A] :( relation(A)=> ( transitive(A)<=> is_transitive_in(A,relation_field(A)) ) ) )),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f9,axiom,(
% 0.15/0.34 (! [A] :( relation(A)=> (! [B] :( is_transitive_in(A,B)<=> (! [C,D,E] :( ( in(C,B)& in(D,B)& in(E,B)& in(ordered_pair(C,D),A)& in(ordered_pair(D,E),A) )=> in(ordered_pair(C,E),A) ) )) )) )),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f25,conjecture,(
% 0.15/0.34 (! [A] :( relation(A)=> ( transitive(A)<=> (! [B,C,D] :( ( in(ordered_pair(B,C),A)& in(ordered_pair(C,D),A) )=> in(ordered_pair(B,D),A) ) )) ) )),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f26,negated_conjecture,(
% 0.15/0.34 ~((! [A] :( relation(A)=> ( transitive(A)<=> (! [B,C,D] :( ( in(ordered_pair(B,C),A)& in(ordered_pair(C,D),A) )=> in(ordered_pair(B,D),A) ) )) ) ))),
% 0.15/0.34 inference(negated_conjecture,[status(cth)],[f25])).
% 0.15/0.34 fof(f35,axiom,(
% 0.15/0.34 (! [A,B,C] :( relation(C)=> ( in(ordered_pair(A,B),C)=> ( in(A,relation_field(C))& in(B,relation_field(C)) ) ) ) )),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f49,plain,(
% 0.15/0.34 ![A]: (~relation(A)|(transitive(A)<=>is_transitive_in(A,relation_field(A))))),
% 0.15/0.34 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.15/0.34 fof(f50,plain,(
% 0.15/0.34 ![A]: (~relation(A)|((~transitive(A)|is_transitive_in(A,relation_field(A)))&(transitive(A)|~is_transitive_in(A,relation_field(A)))))),
% 0.15/0.34 inference(NNF_transformation,[status(esa)],[f49])).
% 0.15/0.34 fof(f51,plain,(
% 0.15/0.34 ![X0]: (~relation(X0)|~transitive(X0)|is_transitive_in(X0,relation_field(X0)))),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f50])).
% 0.15/0.34 fof(f52,plain,(
% 0.15/0.34 ![X0]: (~relation(X0)|transitive(X0)|~is_transitive_in(X0,relation_field(X0)))),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f50])).
% 0.15/0.34 fof(f56,plain,(
% 0.15/0.34 ![A]: (~relation(A)|(![B]: (is_transitive_in(A,B)<=>(![C,D,E]: (((((~in(C,B)|~in(D,B))|~in(E,B))|~in(ordered_pair(C,D),A))|~in(ordered_pair(D,E),A))|in(ordered_pair(C,E),A))))))),
% 0.15/0.34 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.15/0.34 fof(f57,plain,(
% 0.15/0.34 ![A]: (~relation(A)|(![B]: ((~is_transitive_in(A,B)|(![C,D,E]: (((((~in(C,B)|~in(D,B))|~in(E,B))|~in(ordered_pair(C,D),A))|~in(ordered_pair(D,E),A))|in(ordered_pair(C,E),A))))&(is_transitive_in(A,B)|(?[C,D,E]: (((((in(C,B)&in(D,B))&in(E,B))&in(ordered_pair(C,D),A))&in(ordered_pair(D,E),A))&~in(ordered_pair(C,E),A)))))))),
% 0.15/0.34 inference(NNF_transformation,[status(esa)],[f56])).
% 0.15/0.34 fof(f58,plain,(
% 0.15/0.34 ![A]: (~relation(A)|((![B]: (~is_transitive_in(A,B)|(![C,E]: ((![D]: ((((~in(C,B)|~in(D,B))|~in(E,B))|~in(ordered_pair(C,D),A))|~in(ordered_pair(D,E),A)))|in(ordered_pair(C,E),A)))))&(![B]: (is_transitive_in(A,B)|(?[C,E]: ((?[D]: ((((in(C,B)&in(D,B))&in(E,B))&in(ordered_pair(C,D),A))&in(ordered_pair(D,E),A)))&~in(ordered_pair(C,E),A)))))))),
% 0.15/0.34 inference(miniscoping,[status(esa)],[f57])).
% 0.15/0.34 fof(f59,plain,(
% 0.15/0.34 ![A]: (~relation(A)|((![B]: (~is_transitive_in(A,B)|(![C,E]: ((![D]: ((((~in(C,B)|~in(D,B))|~in(E,B))|~in(ordered_pair(C,D),A))|~in(ordered_pair(D,E),A)))|in(ordered_pair(C,E),A)))))&(![B]: (is_transitive_in(A,B)|(((((in(sk0_0(B,A),B)&in(sk0_2(B,A),B))&in(sk0_1(B,A),B))&in(ordered_pair(sk0_0(B,A),sk0_2(B,A)),A))&in(ordered_pair(sk0_2(B,A),sk0_1(B,A)),A))&~in(ordered_pair(sk0_0(B,A),sk0_1(B,A)),A))))))),
% 0.15/0.34 inference(skolemization,[status(esa)],[f58])).
% 0.15/0.34 fof(f60,plain,(
% 0.15/0.34 ![X0,X1,X2,X3,X4]: (~relation(X0)|~is_transitive_in(X0,X1)|~in(X2,X1)|~in(X3,X1)|~in(X4,X1)|~in(ordered_pair(X2,X3),X0)|~in(ordered_pair(X3,X4),X0)|in(ordered_pair(X2,X4),X0))),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f59])).
% 0.15/0.34 fof(f64,plain,(
% 0.15/0.34 ![X0,X1]: (~relation(X0)|is_transitive_in(X0,X1)|in(ordered_pair(sk0_0(X1,X0),sk0_2(X1,X0)),X0))),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f59])).
% 0.15/0.34 fof(f65,plain,(
% 0.15/0.34 ![X0,X1]: (~relation(X0)|is_transitive_in(X0,X1)|in(ordered_pair(sk0_2(X1,X0),sk0_1(X1,X0)),X0))),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f59])).
% 0.15/0.34 fof(f66,plain,(
% 0.15/0.34 ![X0,X1]: (~relation(X0)|is_transitive_in(X0,X1)|~in(ordered_pair(sk0_0(X1,X0),sk0_1(X1,X0)),X0))),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f59])).
% 0.15/0.34 fof(f79,plain,(
% 0.15/0.34 (?[A]: (relation(A)&(transitive(A)<~>(![B,C,D]: ((~in(ordered_pair(B,C),A)|~in(ordered_pair(C,D),A))|in(ordered_pair(B,D),A))))))),
% 0.15/0.34 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 0.15/0.34 fof(f80,plain,(
% 0.15/0.34 ?[A]: (relation(A)&((transitive(A)|(![B,C,D]: ((~in(ordered_pair(B,C),A)|~in(ordered_pair(C,D),A))|in(ordered_pair(B,D),A))))&(~transitive(A)|(?[B,C,D]: ((in(ordered_pair(B,C),A)&in(ordered_pair(C,D),A))&~in(ordered_pair(B,D),A))))))),
% 0.15/0.34 inference(NNF_transformation,[status(esa)],[f79])).
% 0.15/0.34 fof(f81,plain,(
% 0.15/0.34 ?[A]: (relation(A)&((transitive(A)|(![B,D]: ((![C]: (~in(ordered_pair(B,C),A)|~in(ordered_pair(C,D),A)))|in(ordered_pair(B,D),A))))&(~transitive(A)|(?[B,D]: ((?[C]: (in(ordered_pair(B,C),A)&in(ordered_pair(C,D),A)))&~in(ordered_pair(B,D),A))))))),
% 0.15/0.34 inference(miniscoping,[status(esa)],[f80])).
% 0.15/0.34 fof(f82,plain,(
% 0.15/0.34 (relation(sk0_4)&((transitive(sk0_4)|(![B,D]: ((![C]: (~in(ordered_pair(B,C),sk0_4)|~in(ordered_pair(C,D),sk0_4)))|in(ordered_pair(B,D),sk0_4))))&(~transitive(sk0_4)|((in(ordered_pair(sk0_5,sk0_7),sk0_4)&in(ordered_pair(sk0_7,sk0_6),sk0_4))&~in(ordered_pair(sk0_5,sk0_6),sk0_4)))))),
% 0.15/0.34 inference(skolemization,[status(esa)],[f81])).
% 0.15/0.34 fof(f83,plain,(
% 0.15/0.34 relation(sk0_4)),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f82])).
% 0.15/0.34 fof(f84,plain,(
% 0.15/0.34 ![X0,X1,X2]: (transitive(sk0_4)|~in(ordered_pair(X0,X1),sk0_4)|~in(ordered_pair(X1,X2),sk0_4)|in(ordered_pair(X0,X2),sk0_4))),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f82])).
% 0.15/0.34 fof(f85,plain,(
% 0.15/0.34 ~transitive(sk0_4)|in(ordered_pair(sk0_5,sk0_7),sk0_4)),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f82])).
% 0.15/0.34 fof(f86,plain,(
% 0.15/0.34 ~transitive(sk0_4)|in(ordered_pair(sk0_7,sk0_6),sk0_4)),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f82])).
% 0.15/0.34 fof(f87,plain,(
% 0.15/0.34 ~transitive(sk0_4)|~in(ordered_pair(sk0_5,sk0_6),sk0_4)),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f82])).
% 0.15/0.34 fof(f108,plain,(
% 0.15/0.34 ![A,B,C]: (~relation(C)|(~in(ordered_pair(A,B),C)|(in(A,relation_field(C))&in(B,relation_field(C)))))),
% 0.15/0.34 inference(pre_NNF_transformation,[status(esa)],[f35])).
% 0.15/0.34 fof(f109,plain,(
% 0.15/0.34 ![C]: (~relation(C)|(![A,B]: (~in(ordered_pair(A,B),C)|(in(A,relation_field(C))&in(B,relation_field(C))))))),
% 0.15/0.34 inference(miniscoping,[status(esa)],[f108])).
% 0.15/0.34 fof(f110,plain,(
% 0.15/0.34 ![X0,X1,X2]: (~relation(X0)|~in(ordered_pair(X1,X2),X0)|in(X1,relation_field(X0)))),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f109])).
% 0.15/0.34 fof(f111,plain,(
% 0.15/0.34 ![X0,X1,X2]: (~relation(X0)|~in(ordered_pair(X1,X2),X0)|in(X2,relation_field(X0)))),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f109])).
% 0.15/0.34 fof(f120,plain,(
% 0.15/0.34 spl0_0 <=> transitive(sk0_4)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f122,plain,(
% 0.15/0.34 ~transitive(sk0_4)|spl0_0),
% 0.15/0.34 inference(component_clause,[status(thm)],[f120])).
% 0.15/0.34 fof(f123,plain,(
% 0.15/0.34 spl0_1 <=> ~in(ordered_pair(X0,X1),sk0_4)|~in(ordered_pair(X1,X2),sk0_4)|in(ordered_pair(X0,X2),sk0_4)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f124,plain,(
% 0.15/0.34 ![X0,X1,X2]: (~in(ordered_pair(X0,X1),sk0_4)|~in(ordered_pair(X1,X2),sk0_4)|in(ordered_pair(X0,X2),sk0_4)|~spl0_1)),
% 0.15/0.34 inference(component_clause,[status(thm)],[f123])).
% 0.15/0.34 fof(f126,plain,(
% 0.15/0.34 spl0_0|spl0_1),
% 0.15/0.34 inference(split_clause,[status(thm)],[f84,f120,f123])).
% 0.15/0.34 fof(f127,plain,(
% 0.15/0.34 spl0_2 <=> in(ordered_pair(sk0_5,sk0_7),sk0_4)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f128,plain,(
% 0.15/0.34 in(ordered_pair(sk0_5,sk0_7),sk0_4)|~spl0_2),
% 0.15/0.34 inference(component_clause,[status(thm)],[f127])).
% 0.15/0.34 fof(f130,plain,(
% 0.15/0.34 ~spl0_0|spl0_2),
% 0.15/0.34 inference(split_clause,[status(thm)],[f85,f120,f127])).
% 0.15/0.34 fof(f131,plain,(
% 0.15/0.34 spl0_3 <=> in(ordered_pair(sk0_7,sk0_6),sk0_4)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f132,plain,(
% 0.15/0.34 in(ordered_pair(sk0_7,sk0_6),sk0_4)|~spl0_3),
% 0.15/0.34 inference(component_clause,[status(thm)],[f131])).
% 0.15/0.34 fof(f134,plain,(
% 0.15/0.34 ~spl0_0|spl0_3),
% 0.15/0.34 inference(split_clause,[status(thm)],[f86,f120,f131])).
% 0.15/0.34 fof(f135,plain,(
% 0.15/0.34 spl0_4 <=> in(ordered_pair(sk0_5,sk0_6),sk0_4)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f138,plain,(
% 0.15/0.34 ~spl0_0|~spl0_4),
% 0.15/0.34 inference(split_clause,[status(thm)],[f87,f120,f135])).
% 0.15/0.34 fof(f150,plain,(
% 0.15/0.34 spl0_5 <=> relation(sk0_4)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f152,plain,(
% 0.15/0.34 ~relation(sk0_4)|spl0_5),
% 0.15/0.34 inference(component_clause,[status(thm)],[f150])).
% 0.15/0.34 fof(f153,plain,(
% 0.15/0.34 spl0_6 <=> is_transitive_in(sk0_4,relation_field(sk0_4))),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f155,plain,(
% 0.15/0.34 ~is_transitive_in(sk0_4,relation_field(sk0_4))|spl0_6),
% 0.15/0.34 inference(component_clause,[status(thm)],[f153])).
% 0.15/0.34 fof(f156,plain,(
% 0.15/0.34 ~relation(sk0_4)|~is_transitive_in(sk0_4,relation_field(sk0_4))|spl0_0),
% 0.15/0.34 inference(resolution,[status(thm)],[f52,f122])).
% 0.15/0.34 fof(f157,plain,(
% 0.15/0.34 ~spl0_5|~spl0_6|spl0_0),
% 0.15/0.34 inference(split_clause,[status(thm)],[f156,f150,f153,f120])).
% 0.15/0.34 fof(f158,plain,(
% 0.15/0.34 $false|spl0_5),
% 0.15/0.34 inference(forward_subsumption_resolution,[status(thm)],[f152,f83])).
% 0.15/0.34 fof(f159,plain,(
% 0.15/0.34 spl0_5),
% 0.15/0.34 inference(contradiction_clause,[status(thm)],[f158])).
% 0.15/0.34 fof(f160,plain,(
% 0.15/0.34 ~relation(sk0_4)|~transitive(sk0_4)|spl0_6),
% 0.15/0.34 inference(resolution,[status(thm)],[f155,f51])).
% 0.15/0.34 fof(f161,plain,(
% 0.15/0.34 ~spl0_5|~spl0_0|spl0_6),
% 0.15/0.34 inference(split_clause,[status(thm)],[f160,f150,f120,f153])).
% 0.15/0.34 fof(f243,plain,(
% 0.15/0.34 spl0_15 <=> ~is_transitive_in(sk0_4,X0)|~in(X1,X0)|~in(sk0_7,X0)|~in(sk0_6,X0)|~in(ordered_pair(X1,sk0_7),sk0_4)|in(ordered_pair(X1,sk0_6),sk0_4)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f244,plain,(
% 0.15/0.34 ![X0,X1]: (~is_transitive_in(sk0_4,X0)|~in(X1,X0)|~in(sk0_7,X0)|~in(sk0_6,X0)|~in(ordered_pair(X1,sk0_7),sk0_4)|in(ordered_pair(X1,sk0_6),sk0_4)|~spl0_15)),
% 0.15/0.34 inference(component_clause,[status(thm)],[f243])).
% 0.15/0.34 fof(f246,plain,(
% 0.15/0.34 ![X0,X1]: (~relation(sk0_4)|~is_transitive_in(sk0_4,X0)|~in(X1,X0)|~in(sk0_7,X0)|~in(sk0_6,X0)|~in(ordered_pair(X1,sk0_7),sk0_4)|in(ordered_pair(X1,sk0_6),sk0_4)|~spl0_3)),
% 0.15/0.34 inference(resolution,[status(thm)],[f60,f132])).
% 0.15/0.34 fof(f247,plain,(
% 0.15/0.34 ~spl0_5|spl0_15|~spl0_3),
% 0.15/0.34 inference(split_clause,[status(thm)],[f246,f150,f243,f131])).
% 0.15/0.34 fof(f292,plain,(
% 0.15/0.34 spl0_26 <=> in(sk0_7,relation_field(sk0_4))),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f293,plain,(
% 0.15/0.34 in(sk0_7,relation_field(sk0_4))|~spl0_26),
% 0.15/0.34 inference(component_clause,[status(thm)],[f292])).
% 0.15/0.34 fof(f297,plain,(
% 0.15/0.34 spl0_27 <=> in(sk0_5,relation_field(sk0_4))),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f300,plain,(
% 0.15/0.34 ~relation(sk0_4)|in(sk0_5,relation_field(sk0_4))|~spl0_2),
% 0.15/0.34 inference(resolution,[status(thm)],[f110,f128])).
% 0.15/0.34 fof(f301,plain,(
% 0.15/0.34 ~spl0_5|spl0_27|~spl0_2),
% 0.15/0.34 inference(split_clause,[status(thm)],[f300,f150,f297,f127])).
% 0.15/0.34 fof(f303,plain,(
% 0.15/0.34 spl0_28 <=> ~in(X0,relation_field(sk0_4))|~in(ordered_pair(X0,sk0_7),sk0_4)|in(ordered_pair(X0,sk0_6),sk0_4)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f304,plain,(
% 0.15/0.34 ![X0]: (~in(X0,relation_field(sk0_4))|~in(ordered_pair(X0,sk0_7),sk0_4)|in(ordered_pair(X0,sk0_6),sk0_4)|~spl0_28)),
% 0.15/0.34 inference(component_clause,[status(thm)],[f303])).
% 0.15/0.34 fof(f306,plain,(
% 0.15/0.34 spl0_29 <=> in(sk0_6,relation_field(sk0_4))),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f309,plain,(
% 0.15/0.34 ![X0]: (~is_transitive_in(sk0_4,relation_field(sk0_4))|~in(X0,relation_field(sk0_4))|~in(sk0_6,relation_field(sk0_4))|~in(ordered_pair(X0,sk0_7),sk0_4)|in(ordered_pair(X0,sk0_6),sk0_4)|~spl0_26|~spl0_15)),
% 0.15/0.34 inference(resolution,[status(thm)],[f293,f244])).
% 0.15/0.34 fof(f310,plain,(
% 0.15/0.34 ~spl0_6|spl0_28|~spl0_29|~spl0_26|~spl0_15),
% 0.15/0.34 inference(split_clause,[status(thm)],[f309,f153,f303,f306,f292,f243])).
% 0.15/0.34 fof(f312,plain,(
% 0.15/0.34 ~relation(sk0_4)|in(sk0_6,relation_field(sk0_4))|~spl0_3),
% 0.15/0.34 inference(resolution,[status(thm)],[f111,f132])).
% 0.15/0.34 fof(f313,plain,(
% 0.15/0.34 ~spl0_5|spl0_29|~spl0_3),
% 0.15/0.34 inference(split_clause,[status(thm)],[f312,f150,f306,f131])).
% 0.15/0.34 fof(f314,plain,(
% 0.15/0.34 ~relation(sk0_4)|in(sk0_7,relation_field(sk0_4))|~spl0_2),
% 0.15/0.34 inference(resolution,[status(thm)],[f111,f128])).
% 0.15/0.34 fof(f315,plain,(
% 0.15/0.34 ~spl0_5|spl0_26|~spl0_2),
% 0.15/0.34 inference(split_clause,[status(thm)],[f314,f150,f292,f127])).
% 0.15/0.34 fof(f317,plain,(
% 0.15/0.34 ~in(sk0_5,relation_field(sk0_4))|in(ordered_pair(sk0_5,sk0_6),sk0_4)|~spl0_28|~spl0_2),
% 0.15/0.34 inference(resolution,[status(thm)],[f304,f128])).
% 0.15/0.34 fof(f318,plain,(
% 0.15/0.34 ~spl0_27|spl0_4|~spl0_28|~spl0_2),
% 0.15/0.34 inference(split_clause,[status(thm)],[f317,f297,f135,f303,f127])).
% 0.15/0.34 fof(f350,plain,(
% 0.15/0.34 spl0_30 <=> in(ordered_pair(sk0_0(relation_field(sk0_4),sk0_4),sk0_2(relation_field(sk0_4),sk0_4)),sk0_4)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f351,plain,(
% 0.15/0.34 in(ordered_pair(sk0_0(relation_field(sk0_4),sk0_4),sk0_2(relation_field(sk0_4),sk0_4)),sk0_4)|~spl0_30),
% 0.15/0.34 inference(component_clause,[status(thm)],[f350])).
% 0.15/0.34 fof(f353,plain,(
% 0.15/0.34 ~relation(sk0_4)|in(ordered_pair(sk0_0(relation_field(sk0_4),sk0_4),sk0_2(relation_field(sk0_4),sk0_4)),sk0_4)|spl0_6),
% 0.15/0.34 inference(resolution,[status(thm)],[f64,f155])).
% 0.15/0.34 fof(f354,plain,(
% 0.15/0.34 ~spl0_5|spl0_30|spl0_6),
% 0.15/0.34 inference(split_clause,[status(thm)],[f353,f150,f350,f153])).
% 0.15/0.34 fof(f367,plain,(
% 0.15/0.34 spl0_32 <=> in(ordered_pair(sk0_2(relation_field(sk0_4),sk0_4),sk0_1(relation_field(sk0_4),sk0_4)),sk0_4)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f368,plain,(
% 0.15/0.34 in(ordered_pair(sk0_2(relation_field(sk0_4),sk0_4),sk0_1(relation_field(sk0_4),sk0_4)),sk0_4)|~spl0_32),
% 0.15/0.34 inference(component_clause,[status(thm)],[f367])).
% 0.15/0.34 fof(f370,plain,(
% 0.15/0.34 ~relation(sk0_4)|in(ordered_pair(sk0_2(relation_field(sk0_4),sk0_4),sk0_1(relation_field(sk0_4),sk0_4)),sk0_4)|spl0_6),
% 0.15/0.34 inference(resolution,[status(thm)],[f65,f155])).
% 0.15/0.34 fof(f371,plain,(
% 0.15/0.34 ~spl0_5|spl0_32|spl0_6),
% 0.15/0.34 inference(split_clause,[status(thm)],[f370,f150,f367,f153])).
% 0.15/0.34 fof(f372,plain,(
% 0.15/0.34 ![X0]: (~in(ordered_pair(X0,sk0_2(relation_field(sk0_4),sk0_4)),sk0_4)|in(ordered_pair(X0,sk0_1(relation_field(sk0_4),sk0_4)),sk0_4)|~spl0_32|~spl0_1)),
% 0.15/0.34 inference(resolution,[status(thm)],[f368,f124])).
% 0.15/0.34 fof(f383,plain,(
% 0.15/0.34 in(ordered_pair(sk0_0(relation_field(sk0_4),sk0_4),sk0_1(relation_field(sk0_4),sk0_4)),sk0_4)|~spl0_32|~spl0_1|~spl0_30),
% 0.15/0.34 inference(resolution,[status(thm)],[f372,f351])).
% 0.15/0.34 fof(f396,plain,(
% 0.15/0.34 ~relation(sk0_4)|is_transitive_in(sk0_4,relation_field(sk0_4))|~spl0_32|~spl0_1|~spl0_30),
% 0.15/0.34 inference(resolution,[status(thm)],[f66,f383])).
% 0.15/0.34 fof(f397,plain,(
% 0.15/0.34 ~spl0_5|spl0_6|~spl0_32|~spl0_1|~spl0_30),
% 0.15/0.34 inference(split_clause,[status(thm)],[f396,f150,f153,f367,f123,f350])).
% 0.15/0.34 fof(f398,plain,(
% 0.15/0.34 $false),
% 0.15/0.34 inference(sat_refutation,[status(thm)],[f126,f130,f134,f138,f157,f159,f161,f247,f301,f310,f313,f315,f318,f354,f371,f397])).
% 0.15/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.35 % Elapsed time: 0.027387 seconds
% 0.15/0.35 % CPU time: 0.096967 seconds
% 0.15/0.35 % Total memory used: 31.185 MB
% 0.15/0.35 % Net memory used: 31.059 MB
%------------------------------------------------------------------------------