TSTP Solution File: LCL672+1.001 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL672+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 20:27:48 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL672+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 20:55:14 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37 fof(f1,axiom,(
% 0.13/0.37 (! [X] : r1(X,X) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f3,conjecture,(
% 0.13/0.37 ~ (? [X] :~ ( ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ p1(Y) ) )))& p1(Y) ) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(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)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(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)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| $false ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f4,negated_conjecture,(
% 0.13/0.37 ~(~ (? [X] :~ ( ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ p1(Y) ) )))& p1(Y) ) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(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)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(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)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| $false ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))),
% 0.13/0.37 inference(negated_conjecture,[status(cth)],[f3])).
% 0.13/0.37 fof(f5,plain,(
% 0.13/0.37 ![X0]: (r1(X0,X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f1])).
% 0.13/0.37 fof(f9,plain,(
% 0.13/0.37 ?[X]: (((((((((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&p1(Y)))))|~p1(Y)))))|(![Y]: (~r1(X,Y)|p1(Y))))&(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|((![Y]: (~r1(X,Y)|(?[X]: (r1(Y,X)&~p1(X)))))|(![Y]: (~r1(X,Y)|p1(Y)))))))))|(![Y]: (~r1(X,Y)|p1(Y)))))&(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&(![X]: (~r1(Y,X)|p1(X)))))))|(![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&~p1(Y)))))))))|(![Y]: (~r1(X,Y)|p1(Y)))))&(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(?[X]: (r1(Y,X)&$true)))))|(![Y]: (~r1(X,Y)|p1(Y)))))&(?[Y]: (r1(X,Y)&~p2(Y))))&(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&(![Y]: (~r1(X,Y)|p1(Y))))))&(?[X]: (r1(Y,X)&~p1(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.13/0.37 fof(f10,plain,(
% 0.13/0.37 ?[X]: (((((((((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&p1(Y)))))|~p1(Y)))))|(![Y]: (~r1(X,Y)|p1(Y))))&(((![Y]: (~r1(X,Y)|p2(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)|p1(Y)))))&(((![Y]: (~r1(X,Y)|p2(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)|p1(Y)))))&(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|((?[X]: r1(Y,X))&$true))))|(![Y]: (~r1(X,Y)|p1(Y)))))&(?[Y]: (r1(X,Y)&~p2(Y))))&(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&(![Y]: (~r1(X,Y)|p1(Y))))))&(?[X]: (r1(Y,X)&~p1(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f9])).
% 0.13/0.37 fof(f11,plain,(
% 0.13/0.37 (((((((((![Y]: (~r1(sk0_0,Y)|p2(Y)))|(![Y]: (~r1(sk0_0,Y)|((![X]: (~r1(Y,X)|(r1(X,sk0_1(X,Y))&p1(sk0_1(X,Y)))))|~p1(Y)))))|(![Y]: (~r1(sk0_0,Y)|p1(Y))))&(((![Y]: (~r1(sk0_0,Y)|p2(Y)))|(![Y]: (~r1(sk0_0,Y)|(![X]: (~r1(Y,X)|((![Y]: (~r1(X,Y)|(r1(Y,sk0_2(Y,X,Y))&~p1(sk0_2(Y,X,Y)))))|(![Y]: (~r1(X,Y)|p1(Y)))))))))|(![Y]: (~r1(sk0_0,Y)|p1(Y)))))&(((![Y]: (~r1(sk0_0,Y)|p2(Y)))|(![Y]: (~r1(sk0_0,Y)|((![X]: (~r1(Y,X)|(r1(X,sk0_3(X,Y))&(![X]: (~r1(sk0_3(X,Y),X)|p1(X))))))|(![X]: (~r1(Y,X)|(r1(X,sk0_4(X,Y))&~p1(sk0_4(X,Y)))))))))|(![Y]: (~r1(sk0_0,Y)|p1(Y)))))&(((![Y]: (~r1(sk0_0,Y)|p2(Y)))|(![Y]: (~r1(sk0_0,Y)|(r1(Y,sk0_5(Y))&$true))))|(![Y]: (~r1(sk0_0,Y)|p1(Y)))))&(r1(sk0_0,sk0_6)&~p2(sk0_6)))&((r1(sk0_0,sk0_7)&(r1(sk0_7,sk0_8)&(![Y]: (~r1(sk0_8,Y)|p1(Y)))))&(r1(sk0_7,sk0_9)&~p1(sk0_9))))&(r1(sk0_0,sk0_10)&~p1(sk0_10)))),
% 0.13/0.38 inference(skolemization,[status(esa)],[f10])).
% 0.13/0.38 fof(f12,plain,(
% 0.13/0.38 ?[X]: (((((((((![Y]: (~r1(sk0_0,Y)|p2(Y)))|(![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)|p1(Y))))&(((![Y]: (~r1(sk0_0,Y)|p2(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)|p1(Y)))))&(((![Y]: (~r1(sk0_0,Y)|p2(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)|p1(Y)))))&(((![Y]: (~r1(sk0_0,Y)|p2(Y)))|(![Y]: (~r1(sk0_0,Y)|(?[X]: r1(Y,sk0_5(Y))))))|(![Y]: (~r1(sk0_0,Y)|p1(Y)))))&(?[Y]: (r1(sk0_0,sk0_6)&~p2(sk0_6))))&(?[Y]: ((r1(sk0_0,sk0_7)&(?[X]: (r1(sk0_7,sk0_8)&(![Y]: (~r1(sk0_8,Y)|p1(Y))))))&(?[X]: (r1(sk0_7,sk0_9)&~p1(sk0_9))))))&(?[Y]: (r1(sk0_0,sk0_10)&~p1(sk0_10))))),
% 0.13/0.38 inference($true_and_$false_simplification,[status(esa)],[f11])).
% 0.13/0.38 fof(f15,plain,(
% 0.13/0.38 ![X0,X1,X2,X3,X4,X5]: (~r1(sk0_0,X0)|p2(X0)|~r1(sk0_0,X1)|~r1(X1,X2)|~r1(X2,X3)|r1(X3,sk0_2(X3,X2,X1))|~r1(X2,X4)|p1(X4)|~r1(sk0_0,X5)|p1(X5))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38 fof(f16,plain,(
% 0.13/0.38 ![X0,X1,X2,X3,X4,X5]: (~r1(sk0_0,X0)|p2(X0)|~r1(sk0_0,X1)|~r1(X1,X2)|~r1(X2,X3)|~p1(sk0_2(X3,X2,X1))|~r1(X2,X4)|p1(X4)|~r1(sk0_0,X5)|p1(X5))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38 fof(f22,plain,(
% 0.13/0.38 r1(sk0_0,sk0_6)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38 fof(f23,plain,(
% 0.13/0.38 ~p2(sk0_6)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38 fof(f24,plain,(
% 0.13/0.38 r1(sk0_0,sk0_7)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38 fof(f25,plain,(
% 0.13/0.38 r1(sk0_7,sk0_8)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38 fof(f26,plain,(
% 0.13/0.38 ![X0]: (~r1(sk0_8,X0)|p1(X0))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38 fof(f27,plain,(
% 0.13/0.38 r1(sk0_7,sk0_9)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38 fof(f28,plain,(
% 0.13/0.38 ~p1(sk0_9)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38 fof(f29,plain,(
% 0.13/0.38 r1(sk0_0,sk0_10)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38 fof(f30,plain,(
% 0.13/0.38 ~p1(sk0_10)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38 fof(f31,plain,(
% 0.13/0.38 spl0_0 <=> ~r1(sk0_0,X0)|p2(X0)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f32,plain,(
% 0.13/0.38 ![X0]: (~r1(sk0_0,X0)|p2(X0)|~spl0_0)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f31])).
% 0.13/0.38 fof(f37,plain,(
% 0.13/0.38 spl0_2 <=> ~r1(sk0_0,X3)|p1(X3)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f38,plain,(
% 0.13/0.38 ![X0]: (~r1(sk0_0,X0)|p1(X0)|~spl0_2)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f37])).
% 0.13/0.38 fof(f45,plain,(
% 0.13/0.38 spl0_4 <=> ~r1(sk0_0,X1)|~r1(X1,X2)|~r1(X2,X3)|r1(X3,sk0_2(X3,X2,X1))|~r1(X2,X4)|p1(X4)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f46,plain,(
% 0.13/0.38 ![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)|~spl0_4)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f45])).
% 0.13/0.38 fof(f48,plain,(
% 0.13/0.38 spl0_0|spl0_4|spl0_2),
% 0.13/0.38 inference(split_clause,[status(thm)],[f15,f31,f45,f37])).
% 0.13/0.38 fof(f49,plain,(
% 0.13/0.38 spl0_5 <=> ~r1(sk0_0,X1)|~r1(X1,X2)|~r1(X2,X3)|~p1(sk0_2(X3,X2,X1))|~r1(X2,X4)|p1(X4)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f50,plain,(
% 0.13/0.38 ![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)|~spl0_5)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f49])).
% 0.13/0.38 fof(f52,plain,(
% 0.13/0.38 spl0_0|spl0_5|spl0_2),
% 0.13/0.38 inference(split_clause,[status(thm)],[f16,f31,f49,f37])).
% 0.13/0.38 fof(f73,plain,(
% 0.13/0.38 p1(sk0_10)|~spl0_2),
% 0.13/0.38 inference(resolution,[status(thm)],[f38,f29])).
% 0.13/0.38 fof(f74,plain,(
% 0.13/0.38 $false|~spl0_2),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f73,f30])).
% 0.13/0.38 fof(f75,plain,(
% 0.13/0.38 ~spl0_2),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f74])).
% 0.13/0.38 fof(f78,plain,(
% 0.13/0.38 p2(sk0_6)|~spl0_0),
% 0.13/0.38 inference(resolution,[status(thm)],[f32,f22])).
% 0.13/0.38 fof(f79,plain,(
% 0.13/0.38 $false|~spl0_0),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f78,f23])).
% 0.13/0.38 fof(f80,plain,(
% 0.13/0.38 ~spl0_0),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f79])).
% 0.13/0.38 fof(f90,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,sk0_8)|~r1(X1,X2)|p1(X2)|p1(sk0_2(sk0_8,X1,X0))|~spl0_4)),
% 0.13/0.38 inference(resolution,[status(thm)],[f46,f26])).
% 0.13/0.38 fof(f91,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,sk0_8)|~r1(X1,X2)|p1(X2)|~spl0_5|~spl0_4)),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f90,f50])).
% 0.13/0.38 fof(f123,plain,(
% 0.13/0.38 spl0_21 <=> r1(sk0_0,sk0_0)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f125,plain,(
% 0.13/0.38 ~r1(sk0_0,sk0_0)|spl0_21),
% 0.13/0.38 inference(component_clause,[status(thm)],[f123])).
% 0.13/0.38 fof(f128,plain,(
% 0.13/0.38 $false|spl0_21),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f125,f5])).
% 0.13/0.38 fof(f129,plain,(
% 0.13/0.38 spl0_21),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f128])).
% 0.13/0.38 fof(f208,plain,(
% 0.13/0.38 spl0_41 <=> ~r1(sk0_0,X0)|~r1(X0,sk0_7)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f209,plain,(
% 0.13/0.38 ![X0]: (~r1(sk0_0,X0)|~r1(X0,sk0_7)|~spl0_41)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f208])).
% 0.13/0.38 fof(f211,plain,(
% 0.13/0.38 spl0_42 <=> ~r1(sk0_7,X1)|p1(X1)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f212,plain,(
% 0.13/0.38 ![X0]: (~r1(sk0_7,X0)|p1(X0)|~spl0_42)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f211])).
% 0.13/0.38 fof(f214,plain,(
% 0.13/0.38 ![X0,X1]: (~r1(sk0_0,X0)|~r1(X0,sk0_7)|~r1(sk0_7,X1)|p1(X1)|~spl0_5|~spl0_4)),
% 0.13/0.38 inference(resolution,[status(thm)],[f91,f25])).
% 0.13/0.38 fof(f215,plain,(
% 0.13/0.38 spl0_41|spl0_42|~spl0_5|~spl0_4),
% 0.13/0.38 inference(split_clause,[status(thm)],[f214,f208,f211,f49,f45])).
% 0.13/0.38 fof(f216,plain,(
% 0.13/0.38 ~r1(sk0_0,sk0_0)|~spl0_41),
% 0.13/0.38 inference(resolution,[status(thm)],[f209,f24])).
% 0.13/0.38 fof(f217,plain,(
% 0.13/0.38 ~spl0_21|~spl0_41),
% 0.13/0.38 inference(split_clause,[status(thm)],[f216,f123,f208])).
% 0.13/0.38 fof(f218,plain,(
% 0.13/0.38 p1(sk0_9)|~spl0_42),
% 0.13/0.38 inference(resolution,[status(thm)],[f212,f27])).
% 0.13/0.38 fof(f219,plain,(
% 0.13/0.38 $false|~spl0_42),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f218,f28])).
% 0.13/0.38 fof(f220,plain,(
% 0.13/0.38 ~spl0_42),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f219])).
% 0.13/0.38 fof(f221,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(sat_refutation,[status(thm)],[f48,f52,f75,f80,f129,f215,f217,f220])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.39 % Elapsed time: 0.032549 seconds
% 0.13/0.39 % CPU time: 0.104405 seconds
% 0.13/0.39 % Total memory used: 4.019 MB
% 0.13/0.39 % Net memory used: 3.939 MB
%------------------------------------------------------------------------------