TSTP Solution File: LCL672+1.001 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% 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 : n014.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 12:20:04 EDT 2023
% Result : Theorem 0.11s 0.35s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL672+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n014.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue May 30 09:45:49 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.5.1
% 0.11/0.35 % Refutation found
% 0.11/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.35 fof(f1,axiom,(
% 0.11/0.35 (! [X] : r1(X,X) )),
% 0.11/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.35 fof(f3,conjecture,(
% 0.11/0.35 ~ (? [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) ) )) )),
% 0.11/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.35 fof(f4,negated_conjecture,(
% 0.11/0.35 ~(~ (? [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)| $false ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))),
% 0.11/0.35 inference(negated_conjecture,[status(cth)],[f3])).
% 0.11/0.35 fof(f5,plain,(
% 0.11/0.35 ![X0]: (r1(X0,X0))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f1])).
% 0.11/0.35 fof(f9,plain,(
% 0.11/0.35 ?[X]: (((((((((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&p1(Y)))))|~p1(Y)))))|(![Y]: (~r1(X,Y)|p1(Y))))&(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|((![Y]: (~r1(X,Y)|(?[X]: (r1(Y,X)&~p1(X)))))|(![Y]: (~r1(X,Y)|p1(Y)))))))))|(![Y]: (~r1(X,Y)|p1(Y)))))&(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&(![X]: (~r1(Y,X)|p1(X)))))))|(![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&~p1(Y)))))))))|(![Y]: (~r1(X,Y)|p1(Y)))))&(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(?[X]: (r1(Y,X)&$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))))),
% 0.11/0.35 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.11/0.35 fof(f10,plain,(
% 0.11/0.35 ?[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))&$true))))|(![Y]: (~r1(X,Y)|p1(Y)))))&(?[Y]: (r1(X,Y)&~p2(Y))))&(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&(![Y]: (~r1(X,Y)|p1(Y))))))&(?[X]: (r1(Y,X)&~p1(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))),
% 0.11/0.35 inference(miniscoping,[status(esa)],[f9])).
% 0.11/0.35 fof(f11,plain,(
% 0.11/0.35 (((((((((![Y]: (~r1(sk0_0,Y)|p2(Y)))|(![Y]: (~r1(sk0_0,Y)|((![X]: (~r1(Y,X)|(r1(X,sk0_1(X,Y))&p1(sk0_1(X,Y)))))|~p1(Y)))))|(![Y]: (~r1(sk0_0,Y)|p1(Y))))&(((![Y]: (~r1(sk0_0,Y)|p2(Y)))|(![Y]: (~r1(sk0_0,Y)|(![X]: (~r1(Y,X)|((![Y]: (~r1(X,Y)|(r1(Y,sk0_2(Y,X,Y))&~p1(sk0_2(Y,X,Y)))))|(![Y]: (~r1(X,Y)|p1(Y)))))))))|(![Y]: (~r1(sk0_0,Y)|p1(Y)))))&(((![Y]: (~r1(sk0_0,Y)|p2(Y)))|(![Y]: (~r1(sk0_0,Y)|((![X]: (~r1(Y,X)|(r1(X,sk0_3(X,Y))&(![X]: (~r1(sk0_3(X,Y),X)|p1(X))))))|(![X]: (~r1(Y,X)|(r1(X,sk0_4(X,Y))&~p1(sk0_4(X,Y)))))))))|(![Y]: (~r1(sk0_0,Y)|p1(Y)))))&(((![Y]: (~r1(sk0_0,Y)|p2(Y)))|(![Y]: (~r1(sk0_0,Y)|(r1(Y,sk0_5(Y))&$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)))),
% 0.11/0.35 inference(skolemization,[status(esa)],[f10])).
% 0.11/0.35 fof(f12,plain,(
% 0.11/0.35 ?[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))))),
% 0.11/0.35 inference($true_and_$false_simplification,[status(esa)],[f11])).
% 0.11/0.35 fof(f13,plain,(
% 0.11/0.35 ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|p2(X0)|~r1(sk0_0,X1)|~r1(X1,X2)|r1(X2,sk0_1(X2,X1))|~p1(X1)|~r1(sk0_0,X3)|p1(X3))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f12])).
% 0.11/0.35 fof(f14,plain,(
% 0.11/0.35 ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|p2(X0)|~r1(sk0_0,X1)|~r1(X1,X2)|p1(sk0_1(X2,X1))|~p1(X1)|~r1(sk0_0,X3)|p1(X3))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f12])).
% 0.11/0.35 fof(f15,plain,(
% 0.11/0.35 ![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))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f12])).
% 0.11/0.35 fof(f16,plain,(
% 0.11/0.35 ![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))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f12])).
% 0.11/0.35 fof(f17,plain,(
% 0.11/0.35 ![X0,X1,X2,X3,X4]: (~r1(sk0_0,X0)|p2(X0)|~r1(sk0_0,X1)|~r1(X1,X2)|r1(X2,sk0_3(X2,X1))|~r1(X1,X3)|r1(X3,sk0_4(X3,X1))|~r1(sk0_0,X4)|p1(X4))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f12])).
% 0.11/0.35 fof(f18,plain,(
% 0.11/0.35 ![X0,X1,X2,X3,X4]: (~r1(sk0_0,X0)|p2(X0)|~r1(sk0_0,X1)|~r1(X1,X2)|r1(X2,sk0_3(X2,X1))|~r1(X1,X3)|~p1(sk0_4(X3,X1))|~r1(sk0_0,X4)|p1(X4))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f12])).
% 0.11/0.35 fof(f19,plain,(
% 0.11/0.35 ![X0,X1,X2,X3,X4,X5]: (~r1(sk0_0,X0)|p2(X0)|~r1(sk0_0,X1)|~r1(X1,X2)|~r1(sk0_3(X2,X1),X3)|p1(X3)|~r1(X1,X4)|r1(X4,sk0_4(X4,X1))|~r1(sk0_0,X5)|p1(X5))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f12])).
% 0.11/0.35 fof(f20,plain,(
% 0.11/0.35 ![X0,X1,X2,X3,X4,X5]: (~r1(sk0_0,X0)|p2(X0)|~r1(sk0_0,X1)|~r1(X1,X2)|~r1(sk0_3(X2,X1),X3)|p1(X3)|~r1(X1,X4)|~p1(sk0_4(X4,X1))|~r1(sk0_0,X5)|p1(X5))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f12])).
% 0.11/0.35 fof(f21,plain,(
% 0.11/0.35 ![X0,X1,X2]: (~r1(sk0_0,X0)|p2(X0)|~r1(sk0_0,X1)|r1(X1,sk0_5(X1))|~r1(sk0_0,X2)|p1(X2))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f12])).
% 0.11/0.35 fof(f22,plain,(
% 0.11/0.35 r1(sk0_0,sk0_6)),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f12])).
% 0.11/0.35 fof(f23,plain,(
% 0.11/0.35 ~p2(sk0_6)),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f12])).
% 0.11/0.35 fof(f24,plain,(
% 0.11/0.35 r1(sk0_0,sk0_7)),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f12])).
% 0.11/0.35 fof(f25,plain,(
% 0.11/0.35 r1(sk0_7,sk0_8)),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f12])).
% 0.11/0.35 fof(f26,plain,(
% 0.11/0.35 ![X0]: (~r1(sk0_8,X0)|p1(X0))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f12])).
% 0.11/0.35 fof(f27,plain,(
% 0.11/0.35 r1(sk0_7,sk0_9)),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f12])).
% 0.11/0.35 fof(f28,plain,(
% 0.11/0.35 ~p1(sk0_9)),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f12])).
% 0.11/0.35 fof(f29,plain,(
% 0.11/0.35 r1(sk0_0,sk0_10)),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f12])).
% 0.11/0.35 fof(f30,plain,(
% 0.11/0.35 ~p1(sk0_10)),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f12])).
% 0.11/0.35 fof(f31,plain,(
% 0.11/0.35 spl0_0 <=> ~r1(sk0_0,X0)|p2(X0)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f32,plain,(
% 0.11/0.35 ![X0]: (~r1(sk0_0,X0)|p2(X0)|~spl0_0)),
% 0.11/0.35 inference(component_clause,[status(thm)],[f31])).
% 0.11/0.35 fof(f34,plain,(
% 0.11/0.35 spl0_1 <=> ~r1(sk0_0,X1)|~r1(X1,X2)|r1(X2,sk0_1(X2,X1))|~p1(X1)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f37,plain,(
% 0.11/0.35 spl0_2 <=> ~r1(sk0_0,X3)|p1(X3)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f38,plain,(
% 0.11/0.35 ![X0]: (~r1(sk0_0,X0)|p1(X0)|~spl0_2)),
% 0.11/0.35 inference(component_clause,[status(thm)],[f37])).
% 0.11/0.35 fof(f40,plain,(
% 0.11/0.35 spl0_0|spl0_1|spl0_2),
% 0.11/0.35 inference(split_clause,[status(thm)],[f13,f31,f34,f37])).
% 0.11/0.35 fof(f41,plain,(
% 0.11/0.35 spl0_3 <=> ~r1(sk0_0,X1)|~r1(X1,X2)|p1(sk0_1(X2,X1))|~p1(X1)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f44,plain,(
% 0.11/0.35 spl0_0|spl0_3|spl0_2),
% 0.11/0.35 inference(split_clause,[status(thm)],[f14,f31,f41,f37])).
% 0.11/0.35 fof(f45,plain,(
% 0.11/0.35 spl0_4 <=> ~r1(sk0_0,X1)|~r1(X1,X2)|~r1(X2,X3)|r1(X3,sk0_2(X3,X2,X1))|~r1(X2,X4)|p1(X4)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f46,plain,(
% 0.11/0.35 ![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)),
% 0.11/0.35 inference(component_clause,[status(thm)],[f45])).
% 0.11/0.35 fof(f48,plain,(
% 0.11/0.35 spl0_0|spl0_4|spl0_2),
% 0.11/0.35 inference(split_clause,[status(thm)],[f15,f31,f45,f37])).
% 0.11/0.35 fof(f49,plain,(
% 0.11/0.35 spl0_5 <=> ~r1(sk0_0,X1)|~r1(X1,X2)|~r1(X2,X3)|~p1(sk0_2(X3,X2,X1))|~r1(X2,X4)|p1(X4)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f50,plain,(
% 0.11/0.35 ![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)),
% 0.11/0.35 inference(component_clause,[status(thm)],[f49])).
% 0.11/0.35 fof(f52,plain,(
% 0.11/0.35 spl0_0|spl0_5|spl0_2),
% 0.11/0.35 inference(split_clause,[status(thm)],[f16,f31,f49,f37])).
% 0.11/0.35 fof(f53,plain,(
% 0.11/0.35 spl0_6 <=> ~r1(sk0_0,X1)|~r1(X1,X2)|r1(X2,sk0_3(X2,X1))|~r1(X1,X3)|r1(X3,sk0_4(X3,X1))),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f54,plain,(
% 0.11/0.35 ![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))|~spl0_6)),
% 0.11/0.35 inference(component_clause,[status(thm)],[f53])).
% 0.11/0.35 fof(f56,plain,(
% 0.11/0.35 spl0_0|spl0_6|spl0_2),
% 0.11/0.35 inference(split_clause,[status(thm)],[f17,f31,f53,f37])).
% 0.11/0.35 fof(f57,plain,(
% 0.11/0.35 spl0_7 <=> ~r1(sk0_0,X1)|~r1(X1,X2)|r1(X2,sk0_3(X2,X1))|~r1(X1,X3)|~p1(sk0_4(X3,X1))),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f58,plain,(
% 0.11/0.35 ![X0,X1,X2]: (~r1(sk0_0,X0)|~r1(X0,X1)|r1(X1,sk0_3(X1,X0))|~r1(X0,X2)|~p1(sk0_4(X2,X0))|~spl0_7)),
% 0.11/0.35 inference(component_clause,[status(thm)],[f57])).
% 0.11/0.35 fof(f60,plain,(
% 0.11/0.35 spl0_0|spl0_7|spl0_2),
% 0.11/0.35 inference(split_clause,[status(thm)],[f18,f31,f57,f37])).
% 0.11/0.35 fof(f61,plain,(
% 0.11/0.35 spl0_8 <=> ~r1(sk0_0,X1)|~r1(X1,X2)|~r1(sk0_3(X2,X1),X3)|p1(X3)|~r1(X1,X4)|r1(X4,sk0_4(X4,X1))),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f62,plain,(
% 0.11/0.35 ![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))|~spl0_8)),
% 0.11/0.35 inference(component_clause,[status(thm)],[f61])).
% 0.11/0.35 fof(f64,plain,(
% 0.11/0.35 spl0_0|spl0_8|spl0_2),
% 0.11/0.35 inference(split_clause,[status(thm)],[f19,f31,f61,f37])).
% 0.11/0.35 fof(f65,plain,(
% 0.11/0.35 spl0_9 <=> ~r1(sk0_0,X1)|~r1(X1,X2)|~r1(sk0_3(X2,X1),X3)|p1(X3)|~r1(X1,X4)|~p1(sk0_4(X4,X1))),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f66,plain,(
% 0.11/0.35 ![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))|~spl0_9)),
% 0.11/0.35 inference(component_clause,[status(thm)],[f65])).
% 0.11/0.35 fof(f68,plain,(
% 0.11/0.35 spl0_0|spl0_9|spl0_2),
% 0.11/0.35 inference(split_clause,[status(thm)],[f20,f31,f65,f37])).
% 0.11/0.35 fof(f69,plain,(
% 0.11/0.35 spl0_10 <=> ~r1(sk0_0,X1)|r1(X1,sk0_5(X1))),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f70,plain,(
% 0.11/0.35 ![X0]: (~r1(sk0_0,X0)|r1(X0,sk0_5(X0))|~spl0_10)),
% 0.11/0.35 inference(component_clause,[status(thm)],[f69])).
% 0.11/0.35 fof(f72,plain,(
% 0.11/0.35 spl0_0|spl0_10|spl0_2),
% 0.11/0.35 inference(split_clause,[status(thm)],[f21,f31,f69,f37])).
% 0.11/0.35 fof(f73,plain,(
% 0.11/0.35 p1(sk0_10)|~spl0_2),
% 0.11/0.35 inference(resolution,[status(thm)],[f38,f29])).
% 0.11/0.35 fof(f74,plain,(
% 0.11/0.35 $false|~spl0_2),
% 0.11/0.35 inference(forward_subsumption_resolution,[status(thm)],[f73,f30])).
% 0.11/0.35 fof(f75,plain,(
% 0.11/0.35 ~spl0_2),
% 0.11/0.35 inference(contradiction_clause,[status(thm)],[f74])).
% 0.11/0.35 fof(f78,plain,(
% 0.11/0.35 p2(sk0_6)|~spl0_0),
% 0.11/0.35 inference(resolution,[status(thm)],[f32,f22])).
% 0.11/0.35 fof(f79,plain,(
% 0.11/0.35 $false|~spl0_0),
% 0.11/0.35 inference(forward_subsumption_resolution,[status(thm)],[f78,f23])).
% 0.11/0.35 fof(f80,plain,(
% 0.11/0.35 ~spl0_0),
% 0.11/0.35 inference(contradiction_clause,[status(thm)],[f79])).
% 0.11/0.35 fof(f81,plain,(
% 0.11/0.35 r1(sk0_10,sk0_5(sk0_10))|~spl0_10),
% 0.11/0.35 inference(resolution,[status(thm)],[f70,f29])).
% 0.11/0.35 fof(f82,plain,(
% 0.11/0.35 r1(sk0_7,sk0_5(sk0_7))|~spl0_10),
% 0.11/0.35 inference(resolution,[status(thm)],[f70,f24])).
% 0.11/0.35 fof(f83,plain,(
% 0.11/0.35 r1(sk0_6,sk0_5(sk0_6))|~spl0_10),
% 0.11/0.35 inference(resolution,[status(thm)],[f70,f22])).
% 0.11/0.35 fof(f108,plain,(
% 0.11/0.35 ![X0,X1,X2]: (~r1(sk0_10,X0)|~r1(X0,X1)|r1(X1,sk0_2(X1,X0,sk0_10))|~r1(X0,X2)|p1(X2)|~spl0_4)),
% 0.11/0.35 inference(resolution,[status(thm)],[f46,f29])).
% 0.11/0.35 fof(f109,plain,(
% 0.11/0.35 ![X0,X1,X2]: (~r1(sk0_7,X0)|~r1(X0,X1)|r1(X1,sk0_2(X1,X0,sk0_7))|~r1(X0,X2)|p1(X2)|~spl0_4)),
% 0.11/0.35 inference(resolution,[status(thm)],[f46,f24])).
% 0.11/0.35 fof(f110,plain,(
% 0.11/0.35 ![X0,X1,X2]: (~r1(sk0_6,X0)|~r1(X0,X1)|r1(X1,sk0_2(X1,X0,sk0_6))|~r1(X0,X2)|p1(X2)|~spl0_4)),
% 0.11/0.35 inference(resolution,[status(thm)],[f46,f22])).
% 0.11/0.35 fof(f111,plain,(
% 0.11/0.35 spl0_17 <=> ~r1(sk0_5(sk0_10),X0)|r1(X0,sk0_2(X0,sk0_5(sk0_10),sk0_10))),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f114,plain,(
% 0.11/0.35 spl0_18 <=> ~r1(sk0_5(sk0_10),X1)|p1(X1)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f117,plain,(
% 0.11/0.35 ![X0,X1]: (~r1(sk0_5(sk0_10),X0)|r1(X0,sk0_2(X0,sk0_5(sk0_10),sk0_10))|~r1(sk0_5(sk0_10),X1)|p1(X1)|~spl0_4|~spl0_10)),
% 0.11/0.35 inference(resolution,[status(thm)],[f108,f81])).
% 0.11/0.35 fof(f118,plain,(
% 0.11/0.35 spl0_17|spl0_18|~spl0_4|~spl0_10),
% 0.11/0.35 inference(split_clause,[status(thm)],[f117,f111,f114,f45,f69])).
% 0.11/0.35 fof(f119,plain,(
% 0.11/0.35 spl0_19 <=> ~r1(sk0_5(sk0_7),X0)|r1(X0,sk0_2(X0,sk0_5(sk0_7),sk0_7))),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f122,plain,(
% 0.11/0.35 spl0_20 <=> ~r1(sk0_5(sk0_7),X1)|p1(X1)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f125,plain,(
% 0.11/0.35 ![X0,X1]: (~r1(sk0_5(sk0_7),X0)|r1(X0,sk0_2(X0,sk0_5(sk0_7),sk0_7))|~r1(sk0_5(sk0_7),X1)|p1(X1)|~spl0_4|~spl0_10)),
% 0.11/0.35 inference(resolution,[status(thm)],[f109,f82])).
% 0.11/0.35 fof(f126,plain,(
% 0.11/0.35 spl0_19|spl0_20|~spl0_4|~spl0_10),
% 0.11/0.35 inference(split_clause,[status(thm)],[f125,f119,f122,f45,f69])).
% 0.11/0.35 fof(f127,plain,(
% 0.11/0.35 spl0_21 <=> ~r1(sk0_9,X0)|r1(X0,sk0_2(X0,sk0_9,sk0_7))),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f128,plain,(
% 0.11/0.35 ![X0]: (~r1(sk0_9,X0)|r1(X0,sk0_2(X0,sk0_9,sk0_7))|~spl0_21)),
% 0.11/0.35 inference(component_clause,[status(thm)],[f127])).
% 0.11/0.35 fof(f130,plain,(
% 0.11/0.35 spl0_22 <=> ~r1(sk0_9,X1)|p1(X1)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f131,plain,(
% 0.11/0.35 ![X0]: (~r1(sk0_9,X0)|p1(X0)|~spl0_22)),
% 0.11/0.35 inference(component_clause,[status(thm)],[f130])).
% 0.11/0.35 fof(f133,plain,(
% 0.11/0.35 ![X0,X1]: (~r1(sk0_9,X0)|r1(X0,sk0_2(X0,sk0_9,sk0_7))|~r1(sk0_9,X1)|p1(X1)|~spl0_4)),
% 0.11/0.35 inference(resolution,[status(thm)],[f109,f27])).
% 0.11/0.35 fof(f134,plain,(
% 0.11/0.35 spl0_21|spl0_22|~spl0_4),
% 0.11/0.35 inference(split_clause,[status(thm)],[f133,f127,f130,f45])).
% 0.11/0.35 fof(f143,plain,(
% 0.11/0.35 spl0_25 <=> ~r1(sk0_5(sk0_6),X0)|r1(X0,sk0_2(X0,sk0_5(sk0_6),sk0_6))),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f146,plain,(
% 0.11/0.35 spl0_26 <=> ~r1(sk0_5(sk0_6),X1)|p1(X1)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f149,plain,(
% 0.11/0.35 ![X0,X1]: (~r1(sk0_5(sk0_6),X0)|r1(X0,sk0_2(X0,sk0_5(sk0_6),sk0_6))|~r1(sk0_5(sk0_6),X1)|p1(X1)|~spl0_4|~spl0_10)),
% 0.11/0.35 inference(resolution,[status(thm)],[f110,f83])).
% 0.11/0.35 fof(f150,plain,(
% 0.11/0.35 spl0_25|spl0_26|~spl0_4|~spl0_10),
% 0.11/0.35 inference(split_clause,[status(thm)],[f149,f143,f146,f45,f69])).
% 0.11/0.35 fof(f159,plain,(
% 0.11/0.35 spl0_29 <=> ~r1(sk0_7,X0)|r1(X0,sk0_3(X0,sk0_7))),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f160,plain,(
% 0.11/0.35 ![X0]: (~r1(sk0_7,X0)|r1(X0,sk0_3(X0,sk0_7))|~spl0_29)),
% 0.11/0.35 inference(component_clause,[status(thm)],[f159])).
% 0.11/0.35 fof(f162,plain,(
% 0.11/0.35 spl0_30 <=> ~r1(sk0_7,X1)|r1(X1,sk0_4(X1,sk0_7))),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f163,plain,(
% 0.11/0.35 ![X0]: (~r1(sk0_7,X0)|r1(X0,sk0_4(X0,sk0_7))|~spl0_30)),
% 0.11/0.35 inference(component_clause,[status(thm)],[f162])).
% 0.11/0.35 fof(f165,plain,(
% 0.11/0.35 ![X0,X1]: (~r1(sk0_7,X0)|r1(X0,sk0_3(X0,sk0_7))|~r1(sk0_7,X1)|r1(X1,sk0_4(X1,sk0_7))|~spl0_6)),
% 0.11/0.35 inference(resolution,[status(thm)],[f54,f24])).
% 0.11/0.35 fof(f166,plain,(
% 0.11/0.35 spl0_29|spl0_30|~spl0_6),
% 0.11/0.35 inference(split_clause,[status(thm)],[f165,f159,f162,f53])).
% 0.11/0.35 fof(f177,plain,(
% 0.11/0.35 r1(sk0_9,sk0_3(sk0_9,sk0_7))|~spl0_29),
% 0.11/0.35 inference(resolution,[status(thm)],[f160,f27])).
% 0.11/0.35 fof(f184,plain,(
% 0.11/0.35 spl0_34 <=> ~r1(sk0_7,X0)|~r1(sk0_3(X0,sk0_7),X1)|p1(X1)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f185,plain,(
% 0.11/0.35 ![X0,X1]: (~r1(sk0_7,X0)|~r1(sk0_3(X0,sk0_7),X1)|p1(X1)|~spl0_34)),
% 0.11/0.35 inference(component_clause,[status(thm)],[f184])).
% 0.11/0.35 fof(f187,plain,(
% 0.11/0.35 ![X0,X1,X2]: (~r1(sk0_7,X0)|~r1(sk0_3(X0,sk0_7),X1)|p1(X1)|~r1(sk0_7,X2)|r1(X2,sk0_4(X2,sk0_7))|~spl0_8)),
% 0.11/0.35 inference(resolution,[status(thm)],[f62,f24])).
% 0.11/0.35 fof(f188,plain,(
% 0.11/0.35 spl0_34|spl0_30|~spl0_8),
% 0.11/0.35 inference(split_clause,[status(thm)],[f187,f184,f162,f61])).
% 0.11/0.35 fof(f197,plain,(
% 0.11/0.35 r1(sk0_8,sk0_4(sk0_8,sk0_7))|~spl0_30),
% 0.11/0.35 inference(resolution,[status(thm)],[f163,f25])).
% 0.11/0.35 fof(f200,plain,(
% 0.11/0.35 p1(sk0_4(sk0_8,sk0_7))|~spl0_30),
% 0.11/0.35 inference(resolution,[status(thm)],[f197,f26])).
% 0.11/0.35 fof(f202,plain,(
% 0.11/0.35 spl0_36 <=> r1(sk0_0,sk0_7)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f204,plain,(
% 0.11/0.35 ~r1(sk0_0,sk0_7)|spl0_36),
% 0.11/0.35 inference(component_clause,[status(thm)],[f202])).
% 0.11/0.35 fof(f205,plain,(
% 0.11/0.35 spl0_37 <=> r1(sk0_7,sk0_8)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f207,plain,(
% 0.11/0.35 ~r1(sk0_7,sk0_8)|spl0_37),
% 0.11/0.35 inference(component_clause,[status(thm)],[f205])).
% 0.11/0.35 fof(f208,plain,(
% 0.11/0.35 ![X0,X1]: (~r1(sk0_0,sk0_7)|~r1(sk0_7,X0)|~r1(sk0_3(X0,sk0_7),X1)|p1(X1)|~r1(sk0_7,sk0_8)|~spl0_30|~spl0_9)),
% 0.11/0.35 inference(resolution,[status(thm)],[f200,f66])).
% 0.11/0.35 fof(f209,plain,(
% 0.11/0.35 ~spl0_36|spl0_34|~spl0_37|~spl0_30|~spl0_9),
% 0.11/0.35 inference(split_clause,[status(thm)],[f208,f202,f184,f205,f162,f65])).
% 0.11/0.35 fof(f210,plain,(
% 0.11/0.35 ![X0]: (~r1(sk0_0,sk0_7)|~r1(sk0_7,X0)|r1(X0,sk0_3(X0,sk0_7))|~r1(sk0_7,sk0_8)|~spl0_30|~spl0_7)),
% 0.11/0.35 inference(resolution,[status(thm)],[f200,f58])).
% 0.11/0.35 fof(f211,plain,(
% 0.11/0.35 ~spl0_36|spl0_29|~spl0_37|~spl0_30|~spl0_7),
% 0.11/0.35 inference(split_clause,[status(thm)],[f210,f202,f159,f205,f162,f57])).
% 0.11/0.35 fof(f212,plain,(
% 0.11/0.35 r1(sk0_3(sk0_9,sk0_7),sk0_2(sk0_3(sk0_9,sk0_7),sk0_9,sk0_7))|~spl0_29|~spl0_21),
% 0.11/0.35 inference(resolution,[status(thm)],[f177,f128])).
% 0.11/0.35 fof(f219,plain,(
% 0.11/0.35 ![X0]: (~r1(sk0_3(sk0_9,sk0_7),X0)|p1(X0)|~spl0_34)),
% 0.11/0.35 inference(resolution,[status(thm)],[f185,f27])).
% 0.11/0.35 fof(f221,plain,(
% 0.11/0.35 p1(sk0_2(sk0_3(sk0_9,sk0_7),sk0_9,sk0_7))|~spl0_29|~spl0_21|~spl0_34),
% 0.11/0.35 inference(resolution,[status(thm)],[f212,f219])).
% 0.11/0.35 fof(f222,plain,(
% 0.11/0.35 spl0_38 <=> r1(sk0_7,sk0_9)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f224,plain,(
% 0.11/0.35 ~r1(sk0_7,sk0_9)|spl0_38),
% 0.11/0.35 inference(component_clause,[status(thm)],[f222])).
% 0.11/0.35 fof(f225,plain,(
% 0.11/0.35 spl0_39 <=> r1(sk0_9,sk0_3(sk0_9,sk0_7))),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f227,plain,(
% 0.11/0.35 ~r1(sk0_9,sk0_3(sk0_9,sk0_7))|spl0_39),
% 0.11/0.35 inference(component_clause,[status(thm)],[f225])).
% 0.11/0.35 fof(f228,plain,(
% 0.11/0.35 ![X0]: (~r1(sk0_0,sk0_7)|~r1(sk0_7,sk0_9)|~r1(sk0_9,sk0_3(sk0_9,sk0_7))|~r1(sk0_9,X0)|p1(X0)|~spl0_29|~spl0_21|~spl0_34|~spl0_5)),
% 0.11/0.35 inference(resolution,[status(thm)],[f221,f50])).
% 0.11/0.35 fof(f229,plain,(
% 0.11/0.35 ~spl0_36|~spl0_38|~spl0_39|spl0_22|~spl0_29|~spl0_21|~spl0_34|~spl0_5),
% 0.11/0.35 inference(split_clause,[status(thm)],[f228,f202,f222,f225,f130,f159,f127,f184,f49])).
% 0.11/0.35 fof(f240,plain,(
% 0.11/0.35 p1(sk0_9)|~spl0_22),
% 0.11/0.35 inference(resolution,[status(thm)],[f5,f131])).
% 0.11/0.35 fof(f241,plain,(
% 0.11/0.35 $false|~spl0_22),
% 0.11/0.35 inference(forward_subsumption_resolution,[status(thm)],[f240,f28])).
% 0.11/0.35 fof(f242,plain,(
% 0.11/0.35 ~spl0_22),
% 0.11/0.35 inference(contradiction_clause,[status(thm)],[f241])).
% 0.11/0.35 fof(f302,plain,(
% 0.11/0.35 $false|~spl0_29|spl0_39),
% 0.11/0.35 inference(forward_subsumption_resolution,[status(thm)],[f227,f177])).
% 0.11/0.35 fof(f303,plain,(
% 0.11/0.35 ~spl0_29|spl0_39),
% 0.11/0.35 inference(contradiction_clause,[status(thm)],[f302])).
% 0.11/0.35 fof(f304,plain,(
% 0.11/0.35 $false|spl0_38),
% 0.11/0.35 inference(forward_subsumption_resolution,[status(thm)],[f224,f27])).
% 0.11/0.35 fof(f305,plain,(
% 0.11/0.35 spl0_38),
% 0.11/0.35 inference(contradiction_clause,[status(thm)],[f304])).
% 0.11/0.35 fof(f306,plain,(
% 0.11/0.35 $false|spl0_36),
% 0.11/0.35 inference(forward_subsumption_resolution,[status(thm)],[f204,f24])).
% 0.11/0.35 fof(f307,plain,(
% 0.11/0.35 spl0_36),
% 0.11/0.35 inference(contradiction_clause,[status(thm)],[f306])).
% 0.11/0.35 fof(f308,plain,(
% 0.11/0.35 $false|spl0_37),
% 0.11/0.35 inference(forward_subsumption_resolution,[status(thm)],[f207,f25])).
% 0.11/0.35 fof(f309,plain,(
% 0.11/0.35 spl0_37),
% 0.11/0.35 inference(contradiction_clause,[status(thm)],[f308])).
% 0.11/0.35 fof(f310,plain,(
% 0.11/0.35 $false),
% 0.11/0.35 inference(sat_refutation,[status(thm)],[f40,f44,f48,f52,f56,f60,f64,f68,f72,f75,f80,f118,f126,f134,f150,f166,f188,f209,f211,f229,f242,f303,f305,f307,f309])).
% 0.11/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.25/0.58 % Elapsed time: 0.042590 seconds
% 0.25/0.58 % CPU time: 0.050777 seconds
% 0.25/0.58 % Memory used: 1.893 MB
%------------------------------------------------------------------------------