TSTP Solution File: LCL654+1.001 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL654+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 12:19:55 EDT 2023
% Result : Theorem 0.14s 0.31s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LCL654+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n032.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 09:43:15 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.14/0.30 % Drodi V3.5.1
% 0.14/0.31 % Refutation found
% 0.14/0.31 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.31 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.31 fof(f1,axiom,(
% 0.14/0.31 (! [X] : r1(X,X) )),
% 0.14/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.31 fof(f2,conjecture,(
% 0.14/0.31 ~ (? [X] :~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ p1(Y) ) )))& p1(Y) ) ))| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ) )))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) )))& ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) )) ))| ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| $false ) )))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) )) )),
% 0.14/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.31 fof(f3,negated_conjecture,(
% 0.14/0.31 ~(~ (? [X] :~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ p1(Y) ) )))& p1(Y) ) ))| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ) )))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) )))& ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) )) ))| ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| $false ) )))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) )) ))),
% 0.14/0.31 inference(negated_conjecture,[status(cth)],[f2])).
% 0.14/0.31 fof(f4,plain,(
% 0.14/0.31 ![X0]: (r1(X0,X0))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f1])).
% 0.14/0.31 fof(f5,plain,(
% 0.14/0.31 ?[X]: (((((![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&p1(Y)))))|~p1(Y))))&(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|((![Y]: (~r1(X,Y)|(?[X]: (r1(Y,X)&~p1(X)))))|(![Y]: (~r1(X,Y)|p1(Y)))))))))&(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&(![X]: (~r1(Y,X)|p1(X)))))))|(![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&~p1(Y)))))))))&(![Y]: (~r1(X,Y)|(?[X]: (r1(Y,X)&$true)))))&(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&(?[Y]: (r1(X,Y)&~p1(Y))))))&(![X]: (~r1(Y,X)|p1(X))))))),
% 0.14/0.31 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.14/0.31 fof(f6,plain,(
% 0.14/0.31 ?[X]: (((((![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&p1(Y)))))|~p1(Y))))&(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|((![Y]: (~r1(X,Y)|(?[X]: (r1(Y,X)&~p1(X)))))|(![Y]: (~r1(X,Y)|p1(Y)))))))))&(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&(![X]: (~r1(Y,X)|p1(X)))))))|(![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&~p1(Y)))))))))&(![Y]: (~r1(X,Y)|((?[X]: r1(Y,X))&$true))))&(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&(?[Y]: (r1(X,Y)&~p1(Y))))))&(![X]: (~r1(Y,X)|p1(X))))))),
% 0.14/0.31 inference(miniscoping,[status(esa)],[f5])).
% 0.14/0.31 fof(f7,plain,(
% 0.14/0.31 (((((![Y]: (~r1(sk0_0,Y)|((![X]: (~r1(Y,X)|(r1(X,sk0_1(X,Y))&p1(sk0_1(X,Y)))))|~p1(Y))))&(![Y]: (~r1(sk0_0,Y)|(![X]: (~r1(Y,X)|((![Y]: (~r1(X,Y)|(r1(Y,sk0_2(Y,X,Y))&~p1(sk0_2(Y,X,Y)))))|(![Y]: (~r1(X,Y)|p1(Y)))))))))&(![Y]: (~r1(sk0_0,Y)|((![X]: (~r1(Y,X)|(r1(X,sk0_3(X,Y))&(![X]: (~r1(sk0_3(X,Y),X)|p1(X))))))|(![X]: (~r1(Y,X)|(r1(X,sk0_4(X,Y))&~p1(sk0_4(X,Y)))))))))&(![Y]: (~r1(sk0_0,Y)|(r1(Y,sk0_5(Y))&$true))))&((r1(sk0_0,sk0_6)&(r1(sk0_6,sk0_7)&(r1(sk0_7,sk0_8)&~p1(sk0_8))))&(![X]: (~r1(sk0_6,X)|p1(X)))))),
% 0.14/0.31 inference(skolemization,[status(esa)],[f6])).
% 0.14/0.31 fof(f8,plain,(
% 0.14/0.31 ?[X]: (((((![Y]: (~r1(sk0_0,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,sk0_1(X,Y))&p1(sk0_1(X,Y))))))|~p1(Y))))&(![Y]: (~r1(sk0_0,Y)|(![X]: (~r1(Y,X)|((![Y]: (~r1(X,Y)|(?[X]: (r1(Y,sk0_2(Y,X,Y))&~p1(sk0_2(Y,X,Y))))))|(![Y]: (~r1(X,Y)|p1(Y)))))))))&(![Y]: (~r1(sk0_0,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,sk0_3(X,Y))&(![X]: (~r1(sk0_3(X,Y),X)|p1(X)))))))|(![X]: (~r1(Y,X)|(?[Y]: (r1(X,sk0_4(X,Y))&~p1(sk0_4(X,Y))))))))))&(![Y]: (~r1(sk0_0,Y)|(?[X]: r1(Y,sk0_5(Y))))))&(?[Y]: ((r1(sk0_0,sk0_6)&(?[X]: (r1(sk0_6,sk0_7)&(?[Y]: (r1(sk0_7,sk0_8)&~p1(sk0_8))))))&(![X]: (~r1(sk0_6,X)|p1(X))))))),
% 0.14/0.31 inference($true_and_$false_simplification,[status(esa)],[f7])).
% 0.14/0.31 fof(f11,plain,(
% 0.14/0.31 ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|r1(X2,sk0_2(X2,X1,X0))|~r1(X1,X3)|p1(X3))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.31 fof(f12,plain,(
% 0.14/0.31 ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~p1(sk0_2(X2,X1,X0))|~r1(X1,X3)|p1(X3))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.31 fof(f13,plain,(
% 0.14/0.31 ![X0,X1,X2]: (~r1(sk0_0,X0)|~r1(X0,X1)|r1(X1,sk0_3(X1,X0))|~r1(X0,X2)|r1(X2,sk0_4(X2,X0)))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.31 fof(f14,plain,(
% 0.14/0.31 ![X0,X1,X2]: (~r1(sk0_0,X0)|~r1(X0,X1)|r1(X1,sk0_3(X1,X0))|~r1(X0,X2)|~p1(sk0_4(X2,X0)))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.31 fof(f15,plain,(
% 0.14/0.31 ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(sk0_3(X1,X0),X2)|p1(X2)|~r1(X0,X3)|r1(X3,sk0_4(X3,X0)))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.31 fof(f16,plain,(
% 0.14/0.31 ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(sk0_3(X1,X0),X2)|p1(X2)|~r1(X0,X3)|~p1(sk0_4(X3,X0)))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.31 fof(f18,plain,(
% 0.14/0.31 r1(sk0_0,sk0_6)),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.31 fof(f19,plain,(
% 0.14/0.31 r1(sk0_6,sk0_7)),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.31 fof(f20,plain,(
% 0.14/0.31 r1(sk0_7,sk0_8)),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.31 fof(f21,plain,(
% 0.14/0.31 ~p1(sk0_8)),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.31 fof(f22,plain,(
% 0.14/0.31 ![X0]: (~r1(sk0_6,X0)|p1(X0))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.31 fof(f25,plain,(
% 0.14/0.31 ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(sk0_3(X1,X0),X2)|p1(X2)|~r1(X0,X3)|~r1(sk0_6,sk0_4(X3,X0)))),
% 0.14/0.31 inference(resolution,[status(thm)],[f16,f22])).
% 0.14/0.31 fof(f28,plain,(
% 0.14/0.31 ![X0,X1,X2,X3,X4]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(sk0_3(X1,X0),X2)|p1(X2)|~r1(X0,sk0_6)|~r1(sk0_0,X0)|~r1(X0,X3)|~r1(sk0_3(X3,X0),X4)|p1(X4)|~r1(X0,sk0_6))),
% 0.14/0.31 inference(resolution,[status(thm)],[f25,f15])).
% 0.14/0.31 fof(f29,plain,(
% 0.14/0.31 ![X0,X1,X2,X3,X4]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(sk0_3(X1,X0),X2)|p1(X2)|~r1(X0,sk0_6)|~r1(X0,X3)|~r1(sk0_3(X3,X0),X4)|p1(X4))),
% 0.14/0.31 inference(duplicate_literals_removal,[status(esa)],[f28])).
% 0.14/0.31 fof(f59,plain,(
% 0.14/0.31 spl0_6 <=> r1(sk0_0,sk0_6)),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f61,plain,(
% 0.14/0.31 ~r1(sk0_0,sk0_6)|spl0_6),
% 0.14/0.31 inference(component_clause,[status(thm)],[f59])).
% 0.14/0.31 fof(f62,plain,(
% 0.14/0.31 spl0_7 <=> ~r1(sk0_6,X0)|~r1(sk0_3(X0,sk0_6),X1)|p1(X1)),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f63,plain,(
% 0.14/0.31 ![X0,X1]: (~r1(sk0_6,X0)|~r1(sk0_3(X0,sk0_6),X1)|p1(X1)|~spl0_7)),
% 0.14/0.31 inference(component_clause,[status(thm)],[f62])).
% 0.14/0.31 fof(f65,plain,(
% 0.14/0.31 ![X0,X1,X2,X3]: (~r1(sk0_0,sk0_6)|~r1(sk0_6,X0)|~r1(sk0_3(X0,sk0_6),X1)|p1(X1)|~r1(sk0_6,X2)|~r1(sk0_3(X2,sk0_6),X3)|p1(X3))),
% 0.14/0.31 inference(resolution,[status(thm)],[f29,f4])).
% 0.14/0.31 fof(f66,plain,(
% 0.14/0.31 ~spl0_6|spl0_7),
% 0.14/0.31 inference(split_clause,[status(thm)],[f65,f59,f62])).
% 0.14/0.31 fof(f67,plain,(
% 0.14/0.31 $false|spl0_6),
% 0.14/0.31 inference(forward_subsumption_resolution,[status(thm)],[f61,f18])).
% 0.14/0.31 fof(f68,plain,(
% 0.14/0.31 spl0_6),
% 0.14/0.31 inference(contradiction_clause,[status(thm)],[f67])).
% 0.14/0.31 fof(f79,plain,(
% 0.14/0.31 ![X0,X1,X2,X3,X4]: (~r1(sk0_6,X0)|~r1(sk0_3(X0,sk0_6),sk0_2(X1,X2,X3))|~r1(sk0_0,X3)|~r1(X3,X2)|~r1(X2,X1)|~r1(X2,X4)|p1(X4)|~spl0_7)),
% 0.14/0.31 inference(resolution,[status(thm)],[f63,f12])).
% 0.14/0.31 fof(f96,plain,(
% 0.14/0.31 ![X0,X1,X2,X3,X4]: (~r1(sk0_6,X0)|~r1(sk0_0,X1)|~r1(X1,X2)|~r1(X2,sk0_3(X0,sk0_6))|~r1(X2,X3)|p1(X3)|~r1(sk0_0,X1)|~r1(X1,X2)|~r1(X2,sk0_3(X0,sk0_6))|~r1(X2,X4)|p1(X4)|~spl0_7)),
% 0.14/0.31 inference(resolution,[status(thm)],[f79,f11])).
% 0.14/0.31 fof(f97,plain,(
% 0.14/0.31 ![X0,X1,X2,X3,X4]: (~r1(sk0_6,X0)|~r1(sk0_0,X1)|~r1(X1,X2)|~r1(X2,sk0_3(X0,sk0_6))|~r1(X2,X3)|p1(X3)|~r1(X2,X4)|p1(X4)|~spl0_7)),
% 0.14/0.31 inference(duplicate_literals_removal,[status(esa)],[f96])).
% 0.14/0.31 fof(f100,plain,(
% 0.14/0.31 ![X0,X1,X2,X3]: (~r1(sk0_6,X0)|~r1(sk0_0,X1)|~r1(X1,X2)|~r1(X2,sk0_3(X0,sk0_6))|~r1(X2,X3)|p1(X3)|~r1(X2,sk0_8)|~spl0_7)),
% 0.14/0.31 inference(resolution,[status(thm)],[f97,f21])).
% 0.14/0.31 fof(f101,plain,(
% 0.14/0.31 spl0_8 <=> ~r1(sk0_6,X0)|~r1(sk0_7,sk0_3(X0,sk0_6))),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f102,plain,(
% 0.14/0.31 ![X0]: (~r1(sk0_6,X0)|~r1(sk0_7,sk0_3(X0,sk0_6))|~spl0_8)),
% 0.14/0.31 inference(component_clause,[status(thm)],[f101])).
% 0.14/0.31 fof(f104,plain,(
% 0.14/0.31 spl0_9 <=> ~r1(sk0_0,X1)|~r1(X1,sk0_7)),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f105,plain,(
% 0.14/0.33 ![X0]: (~r1(sk0_0,X0)|~r1(X0,sk0_7)|~spl0_9)),
% 0.14/0.33 inference(component_clause,[status(thm)],[f104])).
% 0.14/0.33 fof(f107,plain,(
% 0.14/0.33 spl0_10 <=> ~r1(sk0_7,X2)|p1(X2)),
% 0.14/0.33 introduced(split_symbol_definition)).
% 0.14/0.33 fof(f108,plain,(
% 0.14/0.33 ![X0]: (~r1(sk0_7,X0)|p1(X0)|~spl0_10)),
% 0.14/0.33 inference(component_clause,[status(thm)],[f107])).
% 0.14/0.33 fof(f110,plain,(
% 0.14/0.33 ![X0,X1,X2]: (~r1(sk0_6,X0)|~r1(sk0_0,X1)|~r1(X1,sk0_7)|~r1(sk0_7,sk0_3(X0,sk0_6))|~r1(sk0_7,X2)|p1(X2)|~spl0_7)),
% 0.14/0.33 inference(resolution,[status(thm)],[f100,f20])).
% 0.14/0.33 fof(f111,plain,(
% 0.14/0.33 spl0_8|spl0_9|spl0_10|~spl0_7),
% 0.14/0.33 inference(split_clause,[status(thm)],[f110,f101,f104,f107,f62])).
% 0.14/0.33 fof(f130,plain,(
% 0.14/0.33 ~r1(sk0_7,sk0_8)|~spl0_10),
% 0.14/0.33 inference(resolution,[status(thm)],[f108,f21])).
% 0.14/0.33 fof(f131,plain,(
% 0.14/0.33 $false|~spl0_10),
% 0.14/0.33 inference(forward_subsumption_resolution,[status(thm)],[f130,f20])).
% 0.14/0.33 fof(f132,plain,(
% 0.14/0.33 ~spl0_10),
% 0.14/0.33 inference(contradiction_clause,[status(thm)],[f131])).
% 0.14/0.33 fof(f145,plain,(
% 0.14/0.33 spl0_16 <=> r1(sk0_6,sk0_6)),
% 0.14/0.33 introduced(split_symbol_definition)).
% 0.14/0.33 fof(f147,plain,(
% 0.14/0.33 ~r1(sk0_6,sk0_6)|spl0_16),
% 0.14/0.33 inference(component_clause,[status(thm)],[f145])).
% 0.14/0.33 fof(f150,plain,(
% 0.14/0.33 spl0_17 <=> ~r1(sk0_6,X0)|~p1(sk0_4(X0,sk0_6))),
% 0.14/0.33 introduced(split_symbol_definition)).
% 0.14/0.33 fof(f151,plain,(
% 0.14/0.33 ![X0]: (~r1(sk0_6,X0)|~p1(sk0_4(X0,sk0_6))|~spl0_17)),
% 0.14/0.33 inference(component_clause,[status(thm)],[f150])).
% 0.14/0.33 fof(f155,plain,(
% 0.14/0.33 spl0_18 <=> r1(sk0_6,sk0_7)),
% 0.14/0.33 introduced(split_symbol_definition)).
% 0.14/0.33 fof(f157,plain,(
% 0.14/0.33 ~r1(sk0_6,sk0_7)|spl0_18),
% 0.14/0.33 inference(component_clause,[status(thm)],[f155])).
% 0.14/0.33 fof(f162,plain,(
% 0.14/0.33 ![X0]: (~r1(sk0_6,sk0_7)|~r1(sk0_0,sk0_6)|~r1(sk0_6,sk0_7)|~r1(sk0_6,X0)|~p1(sk0_4(X0,sk0_6))|~spl0_8)),
% 0.14/0.33 inference(resolution,[status(thm)],[f102,f14])).
% 0.14/0.33 fof(f163,plain,(
% 0.14/0.33 ~spl0_18|~spl0_6|spl0_17|~spl0_8),
% 0.14/0.33 inference(split_clause,[status(thm)],[f162,f155,f59,f150,f101])).
% 0.14/0.33 fof(f164,plain,(
% 0.14/0.33 $false|spl0_18),
% 0.14/0.33 inference(forward_subsumption_resolution,[status(thm)],[f157,f19])).
% 0.14/0.33 fof(f165,plain,(
% 0.14/0.33 spl0_18),
% 0.14/0.33 inference(contradiction_clause,[status(thm)],[f164])).
% 0.14/0.33 fof(f170,plain,(
% 0.14/0.33 ![X0]: (~r1(sk0_6,X0)|~r1(sk0_6,sk0_4(X0,sk0_6))|~spl0_17)),
% 0.14/0.33 inference(resolution,[status(thm)],[f151,f22])).
% 0.14/0.33 fof(f173,plain,(
% 0.14/0.33 spl0_19 <=> ~r1(sk0_6,X0)|r1(X0,sk0_3(X0,sk0_6))),
% 0.14/0.33 introduced(split_symbol_definition)).
% 0.14/0.33 fof(f174,plain,(
% 0.14/0.33 ![X0]: (~r1(sk0_6,X0)|r1(X0,sk0_3(X0,sk0_6))|~spl0_19)),
% 0.14/0.33 inference(component_clause,[status(thm)],[f173])).
% 0.14/0.33 fof(f180,plain,(
% 0.14/0.33 ![X0]: (~r1(sk0_6,sk0_6)|~r1(sk0_0,sk0_6)|~r1(sk0_6,X0)|r1(X0,sk0_3(X0,sk0_6))|~r1(sk0_6,sk0_6)|~spl0_17)),
% 0.14/0.33 inference(resolution,[status(thm)],[f170,f13])).
% 0.14/0.33 fof(f181,plain,(
% 0.14/0.33 ~spl0_16|~spl0_6|spl0_19|~spl0_17),
% 0.14/0.33 inference(split_clause,[status(thm)],[f180,f145,f59,f173,f150])).
% 0.14/0.33 fof(f182,plain,(
% 0.14/0.33 $false|spl0_16),
% 0.14/0.33 inference(forward_subsumption_resolution,[status(thm)],[f147,f4])).
% 0.14/0.33 fof(f183,plain,(
% 0.14/0.33 spl0_16),
% 0.14/0.33 inference(contradiction_clause,[status(thm)],[f182])).
% 0.14/0.33 fof(f184,plain,(
% 0.14/0.33 ~r1(sk0_6,sk0_7)|~r1(sk0_6,sk0_7)|~spl0_19|~spl0_8),
% 0.14/0.33 inference(resolution,[status(thm)],[f174,f102])).
% 0.14/0.33 fof(f185,plain,(
% 0.14/0.33 ~spl0_18|~spl0_19|~spl0_8),
% 0.14/0.33 inference(split_clause,[status(thm)],[f184,f155,f173,f101])).
% 0.14/0.33 fof(f188,plain,(
% 0.14/0.33 ~r1(sk0_0,sk0_6)|~spl0_9),
% 0.14/0.33 inference(resolution,[status(thm)],[f105,f19])).
% 0.14/0.33 fof(f189,plain,(
% 0.14/0.33 ~spl0_6|~spl0_9),
% 0.14/0.33 inference(split_clause,[status(thm)],[f188,f59,f104])).
% 0.14/0.33 fof(f191,plain,(
% 0.14/0.33 $false),
% 0.14/0.33 inference(sat_refutation,[status(thm)],[f66,f68,f111,f132,f163,f165,f181,f183,f185,f189])).
% 0.14/0.33 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.55 % Elapsed time: 0.031827 seconds
% 0.14/0.55 % CPU time: 0.019540 seconds
% 0.14/0.55 % Memory used: 619.330 KB
%------------------------------------------------------------------------------