TSTP Solution File: LCL668+1.001 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL668+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 12:20:02 EDT 2023
% Result : Theorem 0.07s 0.34s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LCL668+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.32 % Computer : n008.cluster.edu
% 0.07/0.32 % Model : x86_64 x86_64
% 0.07/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.32 % Memory : 8042.1875MB
% 0.07/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.32 % CPULimit : 300
% 0.07/0.32 % WCLimit : 300
% 0.07/0.32 % DateTime : Tue May 30 09:43:38 EDT 2023
% 0.07/0.32 % CPUTime :
% 0.07/0.32 % Drodi V3.5.1
% 0.07/0.34 % Refutation found
% 0.07/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.07/0.34 fof(f1,axiom,(
% 0.07/0.34 (! [X] : r1(X,X) )),
% 0.07/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.34 fof(f2,conjecture,(
% 0.07/0.34 ~ (? [X] :~ ( (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ( ~ p12(X)& ~ p10(X)& ~ p8(X)& ~ p6(X)& ~ p4(X)& ~ p2(X) ) ) )) )) )) )) )))| (! [Y] :( ~ r1(X,Y)| p7(Y) ))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ ( ( ~ p5(X)& ~ p1(X) )| ( p1(X)& p5(X) ) ) ) )) )) )) )) )) )))| (! [X] :( ~ r1(Y,X)| p6(X) ))| ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ ( ( ~ p4(X)& ~ p5(X) )| ( p5(X)& p4(X) ) ) ) )) )) )) )) )))| (! [Y] :( ~ r1(X,Y)| p5(Y) ))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ ( ( ~ p3(X)& ~ p4(X) )| ( p4(X)& p3(X) ) ) ) )) )) )) )))| (! [X] :( ~ r1(Y,X)| p4(X) ))| ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ ( ( ~ p2(X)& ~ p3(X) )| ( p3(X)& p2(X) ) ) ) )) )) )))| (! [Y] :( ~ r1(X,Y)| p3(Y) ))| ~ (! [Y] :( ~ r1(X,Y)| ~ ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ ( ( ~ p1(X)& ~ p2(X) )| ( p2(X)& p1(X) ) ) ) )) )) )) )) ) )) ) )) ) )) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ( p6(X)& p5(X)& p4(X)& p3(X)& p2(X)& p1(X) ) ) )) )) )) )) )) )) )),
% 0.07/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.34 fof(f3,negated_conjecture,(
% 0.07/0.34 ~(~ (? [X] :~ ( (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ( ~ p12(X)& ~ p10(X)& ~ p8(X)& ~ p6(X)& ~ p4(X)& ~ p2(X) ) ) )) )) )) )) )))| (! [Y] :( ~ r1(X,Y)| p7(Y) ))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ ( ( ~ p5(X)& ~ p1(X) )| ( p1(X)& p5(X) ) ) ) )) )) )) )) )) )))| (! [X] :( ~ r1(Y,X)| p6(X) ))| ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ ( ( ~ p4(X)& ~ p5(X) )| ( p5(X)& p4(X) ) ) ) )) )) )) )) )))| (! [Y] :( ~ r1(X,Y)| p5(Y) ))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ ( ( ~ p3(X)& ~ p4(X) )| ( p4(X)& p3(X) ) ) ) )) )) )) )))| (! [X] :( ~ r1(Y,X)| p4(X) ))| ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ ( ( ~ p2(X)& ~ p3(X) )| ( p3(X)& p2(X) ) ) ) )) )) )))| (! [Y] :( ~ r1(X,Y)| p3(Y) ))| ~ (! [Y] :( ~ r1(X,Y)| ~ ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ ( ( ~ p1(X)& ~ p2(X) )| ( p2(X)& p1(X) ) ) ) )) )) )) )) ) )) ) )) ) )) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ( p6(X)& p5(X)& p4(X)& p3(X)& p2(X)& p1(X) ) ) )) )) )) )) )) )) ))),
% 0.07/0.34 inference(negated_conjecture,[status(cth)],[f2])).
% 0.07/0.34 fof(f4,plain,(
% 0.07/0.34 ![X0]: (r1(X0,X0))),
% 0.07/0.34 inference(cnf_transformation,[status(esa)],[f1])).
% 0.07/0.34 fof(f5,plain,(
% 0.07/0.34 ?[X]: ((((?[Y]: (r1(X,Y)&(?[X]: (r1(Y,X)&(?[Y]: (r1(X,Y)&(?[X]: (r1(Y,X)&(?[Y]: (r1(X,Y)&(?[X]: (r1(Y,X)&(((((p12(X)|p10(X))|p8(X))|p6(X))|p4(X))|p2(X))))))))))))))&(?[Y]: (r1(X,Y)&~p7(Y))))&(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|((p5(X)|p1(X))&(~p1(X)|~p5(X)))))))))))))))))&(?[X]: (r1(Y,X)&~p6(X))))&(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|((p4(X)|p5(X))&(~p5(X)|~p4(X)))))))))))))))&(?[Y]: (r1(X,Y)&~p5(Y))))&(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|((p3(X)|p4(X))&(~p4(X)|~p3(X)))))))))))))&(?[X]: (r1(Y,X)&~p4(X))))&(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|((p2(X)|p3(X))&(~p3(X)|~p2(X)))))))))))&(?[Y]: (r1(X,Y)&~p3(Y))))&(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|((p1(X)|p2(X))&(~p2(X)|~p1(X))))))))))))))))))))))))&(?[Y]: (r1(X,Y)&(?[X]: (r1(Y,X)&(?[Y]: (r1(X,Y)&(?[X]: (r1(Y,X)&(?[Y]: (r1(X,Y)&(?[X]: (r1(Y,X)&(((((~p6(X)|~p5(X))|~p4(X))|~p3(X))|~p2(X))|~p1(X)))))))))))))))),
% 0.07/0.34 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.07/0.34 fof(f6,plain,(
% 0.07/0.34 ((((r1(sk0_0,sk0_1)&(r1(sk0_1,sk0_2)&(r1(sk0_2,sk0_3)&(r1(sk0_3,sk0_4)&(r1(sk0_4,sk0_5)&(r1(sk0_5,sk0_6)&(((((p12(sk0_6)|p10(sk0_6))|p8(sk0_6))|p6(sk0_6))|p4(sk0_6))|p2(sk0_6))))))))&(r1(sk0_0,sk0_7)&~p7(sk0_7)))&(![Y]: (~r1(sk0_0,Y)|(((![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|((p5(X)|p1(X))&(~p1(X)|~p5(X)))))))))))))))))&(r1(Y,sk0_8(Y))&~p6(sk0_8(Y))))&(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|((p4(X)|p5(X))&(~p5(X)|~p4(X)))))))))))))))&(r1(X,sk0_9(X,Y))&~p5(sk0_9(X,Y))))&(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|((p3(X)|p4(X))&(~p4(X)|~p3(X)))))))))))))&(r1(Y,sk0_10(Y,X,Y))&~p4(sk0_10(Y,X,Y))))&(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|((p2(X)|p3(X))&(~p3(X)|~p2(X)))))))))))&(r1(X,sk0_11(X,Y,X,Y))&~p3(sk0_11(X,Y,X,Y))))&(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|((p1(X)|p2(X))&(~p2(X)|~p1(X))))))))))))))))))))))))&(r1(sk0_0,sk0_12)&(r1(sk0_12,sk0_13)&(r1(sk0_13,sk0_14)&(r1(sk0_14,sk0_15)&(r1(sk0_15,sk0_16)&(r1(sk0_16,sk0_17)&(((((~p6(sk0_17)|~p5(sk0_17))|~p4(sk0_17))|~p3(sk0_17))|~p2(sk0_17))|~p1(sk0_17)))))))))),
% 0.07/0.34 inference(skolemization,[status(esa)],[f5])).
% 0.07/0.34 fof(f7,plain,(
% 0.07/0.34 r1(sk0_0,sk0_1)),
% 0.07/0.34 inference(cnf_transformation,[status(esa)],[f6])).
% 0.07/0.34 fof(f8,plain,(
% 0.07/0.34 r1(sk0_1,sk0_2)),
% 0.07/0.34 inference(cnf_transformation,[status(esa)],[f6])).
% 0.07/0.34 fof(f9,plain,(
% 0.07/0.34 r1(sk0_2,sk0_3)),
% 0.07/0.34 inference(cnf_transformation,[status(esa)],[f6])).
% 0.07/0.34 fof(f10,plain,(
% 0.07/0.34 r1(sk0_3,sk0_4)),
% 0.07/0.34 inference(cnf_transformation,[status(esa)],[f6])).
% 0.07/0.34 fof(f11,plain,(
% 0.07/0.34 r1(sk0_4,sk0_5)),
% 0.07/0.34 inference(cnf_transformation,[status(esa)],[f6])).
% 0.07/0.34 fof(f12,plain,(
% 0.07/0.34 r1(sk0_5,sk0_6)),
% 0.07/0.34 inference(cnf_transformation,[status(esa)],[f6])).
% 0.07/0.34 fof(f16,plain,(
% 0.07/0.34 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~r1(X4,X5)|~r1(X5,X6)|~r1(X6,X7)|p5(X7)|p1(X7))),
% 0.07/0.34 inference(cnf_transformation,[status(esa)],[f6])).
% 0.07/0.34 fof(f17,plain,(
% 0.07/0.34 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~r1(X4,X5)|~r1(X5,X6)|~r1(X6,X7)|~p1(X7)|~p5(X7))),
% 0.07/0.34 inference(cnf_transformation,[status(esa)],[f6])).
% 0.07/0.34 fof(f20,plain,(
% 0.07/0.34 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~r1(X4,X5)|~r1(X5,X6)|~r1(X6,X7)|p4(X7)|p5(X7))),
% 0.07/0.34 inference(cnf_transformation,[status(esa)],[f6])).
% 0.07/0.34 fof(f21,plain,(
% 0.07/0.34 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~r1(X4,X5)|~r1(X5,X6)|~r1(X6,X7)|~p5(X7)|~p4(X7))),
% 0.07/0.34 inference(cnf_transformation,[status(esa)],[f6])).
% 0.07/0.34 fof(f24,plain,(
% 0.07/0.34 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~r1(X4,X5)|~r1(X5,X6)|~r1(X6,X7)|p3(X7)|p4(X7))),
% 0.07/0.34 inference(cnf_transformation,[status(esa)],[f6])).
% 0.07/0.34 fof(f25,plain,(
% 0.07/0.34 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~r1(X4,X5)|~r1(X5,X6)|~r1(X6,X7)|~p4(X7)|~p3(X7))),
% 0.07/0.34 inference(cnf_transformation,[status(esa)],[f6])).
% 0.07/0.34 fof(f28,plain,(
% 0.07/0.34 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~r1(X4,X5)|~r1(X5,X6)|~r1(X6,X7)|p2(X7)|p3(X7))),
% 0.07/0.34 inference(cnf_transformation,[status(esa)],[f6])).
% 0.07/0.34 fof(f29,plain,(
% 0.07/0.34 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~r1(X4,X5)|~r1(X5,X6)|~r1(X6,X7)|~p3(X7)|~p2(X7))),
% 0.07/0.34 inference(cnf_transformation,[status(esa)],[f6])).
% 0.07/0.34 fof(f32,plain,(
% 0.07/0.34 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~r1(X4,X5)|~r1(X5,X6)|~r1(X6,X7)|p1(X7)|p2(X7))),
% 0.07/0.34 inference(cnf_transformation,[status(esa)],[f6])).
% 0.07/0.34 fof(f33,plain,(
% 0.07/0.34 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~r1(X4,X5)|~r1(X5,X6)|~r1(X6,X7)|~p2(X7)|~p1(X7))),
% 0.07/0.34 inference(cnf_transformation,[status(esa)],[f6])).
% 0.07/0.34 fof(f34,plain,(
% 0.07/0.34 r1(sk0_0,sk0_12)),
% 0.07/0.34 inference(cnf_transformation,[status(esa)],[f6])).
% 0.07/0.34 fof(f35,plain,(
% 0.07/0.34 r1(sk0_12,sk0_13)),
% 0.07/0.34 inference(cnf_transformation,[status(esa)],[f6])).
% 0.07/0.34 fof(f36,plain,(
% 0.07/0.34 r1(sk0_13,sk0_14)),
% 0.07/0.34 inference(cnf_transformation,[status(esa)],[f6])).
% 0.07/0.34 fof(f37,plain,(
% 0.07/0.34 r1(sk0_14,sk0_15)),
% 0.07/0.34 inference(cnf_transformation,[status(esa)],[f6])).
% 0.07/0.34 fof(f38,plain,(
% 0.07/0.34 r1(sk0_15,sk0_16)),
% 0.07/0.34 inference(cnf_transformation,[status(esa)],[f6])).
% 0.07/0.34 fof(f39,plain,(
% 0.07/0.34 r1(sk0_16,sk0_17)),
% 0.07/0.34 inference(cnf_transformation,[status(esa)],[f6])).
% 0.07/0.34 fof(f53,plain,(
% 0.07/0.34 spl0_4 <=> p4(sk0_6)),
% 0.07/0.34 introduced(split_symbol_definition)).
% 0.07/0.34 fof(f55,plain,(
% 0.07/0.34 ~p4(sk0_6)|spl0_4),
% 0.07/0.34 inference(component_clause,[status(thm)],[f53])).
% 0.07/0.34 fof(f56,plain,(
% 0.07/0.34 spl0_5 <=> p2(sk0_6)),
% 0.07/0.34 introduced(split_symbol_definition)).
% 0.07/0.34 fof(f57,plain,(
% 0.07/0.34 p2(sk0_6)|~spl0_5),
% 0.07/0.34 inference(component_clause,[status(thm)],[f56])).
% 0.07/0.34 fof(f58,plain,(
% 0.07/0.34 ~p2(sk0_6)|spl0_5),
% 0.07/0.34 inference(component_clause,[status(thm)],[f56])).
% 0.07/0.34 fof(f63,plain,(
% 0.07/0.34 spl0_7 <=> p5(sk0_17)),
% 0.07/0.34 introduced(split_symbol_definition)).
% 0.07/0.34 fof(f66,plain,(
% 0.07/0.34 spl0_8 <=> p4(sk0_17)),
% 0.07/0.34 introduced(split_symbol_definition)).
% 0.07/0.34 fof(f69,plain,(
% 0.07/0.34 spl0_9 <=> p3(sk0_17)),
% 0.07/0.34 introduced(split_symbol_definition)).
% 0.07/0.34 fof(f71,plain,(
% 0.07/0.34 ~p3(sk0_17)|spl0_9),
% 0.07/0.34 inference(component_clause,[status(thm)],[f69])).
% 0.07/0.34 fof(f72,plain,(
% 0.07/0.34 spl0_10 <=> p2(sk0_17)),
% 0.07/0.34 introduced(split_symbol_definition)).
% 0.07/0.34 fof(f75,plain,(
% 0.07/0.34 spl0_11 <=> p1(sk0_17)),
% 0.07/0.34 introduced(split_symbol_definition)).
% 0.07/0.34 fof(f77,plain,(
% 0.07/0.34 ~p1(sk0_17)|spl0_11),
% 0.07/0.34 inference(component_clause,[status(thm)],[f75])).
% 0.07/0.34 fof(f81,plain,(
% 0.07/0.34 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~r1(X4,X5)|~r1(X5,X6)|~r1(X6,X7)|~p2(X7)|~r1(sk0_0,X8)|~r1(X8,X9)|~r1(X9,X10)|~r1(X10,X11)|~r1(X11,X12)|~r1(X12,X13)|~r1(X13,X14)|~r1(X14,X7)|p4(X7))),
% 0.07/0.34 inference(resolution,[status(thm)],[f29,f24])).
% 0.07/0.34 fof(f86,plain,(
% 0.07/0.34 spl0_12 <=> ~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~r1(X4,X5)|~r1(X5,X6)|~r1(X6,sk0_17)),
% 0.07/0.34 introduced(split_symbol_definition)).
% 0.07/0.34 fof(f87,plain,(
% 0.07/0.34 ![X0,X1,X2,X3,X4,X5,X6]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~r1(X4,X5)|~r1(X5,X6)|~r1(X6,sk0_17)|~spl0_12)),
% 0.07/0.34 inference(component_clause,[status(thm)],[f86])).
% 0.07/0.34 fof(f89,plain,(
% 0.07/0.34 ![X0,X1,X2,X3,X4,X5,X6]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~r1(X4,X5)|~r1(X5,X6)|~r1(X6,sk0_17)|p2(sk0_17)|spl0_11)),
% 0.07/0.34 inference(resolution,[status(thm)],[f77,f32])).
% 0.07/0.34 fof(f90,plain,(
% 0.07/0.34 spl0_12|spl0_10|spl0_11),
% 0.07/0.34 inference(split_clause,[status(thm)],[f89,f86,f72,f75])).
% 0.07/0.34 fof(f91,plain,(
% 0.07/0.34 ![X0,X1,X2,X3,X4,X5,X6]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~r1(X4,X5)|~r1(X5,X6)|~r1(X6,sk0_17)|p5(sk0_17)|spl0_11)),
% 0.07/0.34 inference(resolution,[status(thm)],[f77,f16])).
% 0.07/0.34 fof(f92,plain,(
% 0.07/0.34 spl0_12|spl0_7|spl0_11),
% 0.07/0.34 inference(split_clause,[status(thm)],[f91,f86,f63,f75])).
% 0.07/0.34 fof(f93,plain,(
% 0.07/0.34 ![X0,X1,X2,X3,X4,X5,X6]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~r1(X4,X5)|~r1(X5,X6)|~r1(X6,sk0_17)|p4(sk0_17)|spl0_9)),
% 0.07/0.34 inference(resolution,[status(thm)],[f71,f24])).
% 0.07/0.34 fof(f94,plain,(
% 0.07/0.34 spl0_12|spl0_8|spl0_9),
% 0.07/0.34 inference(split_clause,[status(thm)],[f93,f86,f66,f69])).
% 0.07/0.34 fof(f95,plain,(
% 0.07/0.34 spl0_13 <=> ~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~r1(X4,X5)|~r1(X5,X6)|~r1(X6,sk0_6)),
% 0.07/0.34 introduced(split_symbol_definition)).
% 0.07/0.34 fof(f96,plain,(
% 0.07/0.34 ![X0,X1,X2,X3,X4,X5,X6]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~r1(X4,X5)|~r1(X5,X6)|~r1(X6,sk0_6)|~spl0_13)),
% 0.07/0.34 inference(component_clause,[status(thm)],[f95])).
% 0.07/0.34 fof(f98,plain,(
% 0.07/0.34 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~r1(X4,X5)|~r1(X5,X6)|~r1(X6,sk0_6)|~r1(sk0_0,X7)|~r1(X7,X8)|~r1(X8,X9)|~r1(X9,X10)|~r1(X10,X11)|~r1(X11,X12)|~r1(X12,X13)|~r1(X13,sk0_6)|p4(sk0_6)|~spl0_5)),
% 0.07/0.34 inference(resolution,[status(thm)],[f57,f81])).
% 0.07/0.34 fof(f99,plain,(
% 0.07/0.34 spl0_13|spl0_4|~spl0_5),
% 0.07/0.34 inference(split_clause,[status(thm)],[f98,f95,f53,f56])).
% 0.07/0.34 fof(f100,plain,(
% 0.07/0.34 spl0_14 <=> p1(sk0_6)),
% 0.07/0.34 introduced(split_symbol_definition)).
% 0.07/0.34 fof(f102,plain,(
% 0.07/0.34 ~p1(sk0_6)|spl0_14),
% 0.07/0.34 inference(component_clause,[status(thm)],[f100])).
% 0.07/0.34 fof(f103,plain,(
% 0.07/0.34 ![X0,X1,X2,X3,X4,X5,X6]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~r1(X4,X5)|~r1(X5,X6)|~r1(X6,sk0_6)|~p1(sk0_6)|~spl0_5)),
% 0.07/0.34 inference(resolution,[status(thm)],[f57,f33])).
% 0.07/0.34 fof(f104,plain,(
% 0.07/0.34 spl0_13|~spl0_14|~spl0_5),
% 0.07/0.34 inference(split_clause,[status(thm)],[f103,f95,f100,f56])).
% 0.07/0.34 fof(f105,plain,(
% 0.07/0.34 ![X0,X1,X2,X3,X4,X5,X6]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~r1(X4,X5)|~r1(X5,X6)|~r1(X6,sk0_6)|p2(sk0_6)|spl0_14)),
% 0.07/0.34 inference(resolution,[status(thm)],[f102,f32])).
% 0.07/0.34 fof(f106,plain,(
% 0.07/0.34 spl0_13|spl0_5|spl0_14),
% 0.07/0.34 inference(split_clause,[status(thm)],[f105,f95,f56,f100])).
% 0.07/0.34 fof(f107,plain,(
% 0.07/0.34 spl0_15 <=> p5(sk0_6)),
% 0.07/0.34 introduced(split_symbol_definition)).
% 0.07/0.34 fof(f108,plain,(
% 0.07/0.34 p5(sk0_6)|~spl0_15),
% 0.07/0.34 inference(component_clause,[status(thm)],[f107])).
% 0.07/0.34 fof(f110,plain,(
% 0.07/0.34 ![X0,X1,X2,X3,X4,X5,X6]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~r1(X4,X5)|~r1(X5,X6)|~r1(X6,sk0_6)|p5(sk0_6)|spl0_14)),
% 0.07/0.34 inference(resolution,[status(thm)],[f102,f16])).
% 0.07/0.34 fof(f111,plain,(
% 0.07/0.34 spl0_13|spl0_15|spl0_14),
% 0.07/0.34 inference(split_clause,[status(thm)],[f110,f95,f107,f100])).
% 0.07/0.34 fof(f112,plain,(
% 0.07/0.34 ![X0,X1,X2,X3,X4,X5]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~r1(X4,X5)|~r1(X5,sk0_16)|~spl0_12)),
% 0.07/0.34 inference(resolution,[status(thm)],[f87,f39])).
% 0.07/0.34 fof(f114,plain,(
% 0.07/0.34 ![X0,X1,X2,X3,X4]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~r1(X4,sk0_15)|~spl0_12)),
% 0.07/0.34 inference(resolution,[status(thm)],[f112,f38])).
% 0.07/0.34 fof(f116,plain,(
% 0.07/0.34 ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,sk0_14)|~spl0_12)),
% 0.07/0.34 inference(resolution,[status(thm)],[f114,f37])).
% 0.07/0.34 fof(f118,plain,(
% 0.07/0.34 ![X0,X1,X2]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,sk0_13)|~spl0_12)),
% 0.07/0.34 inference(resolution,[status(thm)],[f116,f36])).
% 0.07/0.34 fof(f120,plain,(
% 0.07/0.34 ![X0,X1]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,sk0_12)|~spl0_12)),
% 0.07/0.34 inference(resolution,[status(thm)],[f118,f35])).
% 0.07/0.34 fof(f122,plain,(
% 0.07/0.34 ![X0]: (~r1(sk0_0,X0)|~r1(X0,sk0_0)|~spl0_12)),
% 0.07/0.34 inference(resolution,[status(thm)],[f120,f34])).
% 0.07/0.34 fof(f124,plain,(
% 0.07/0.34 ~r1(sk0_0,sk0_0)|~spl0_12),
% 0.07/0.34 inference(resolution,[status(thm)],[f122,f4])).
% 0.07/0.34 fof(f125,plain,(
% 0.07/0.34 $false|~spl0_12),
% 0.07/0.34 inference(forward_subsumption_resolution,[status(thm)],[f124,f4])).
% 0.07/0.34 fof(f126,plain,(
% 0.07/0.34 ~spl0_12),
% 0.07/0.34 inference(contradiction_clause,[status(thm)],[f125])).
% 0.07/0.34 fof(f127,plain,(
% 0.07/0.34 ![X0,X1,X2,X3,X4,X5]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~r1(X4,X5)|~r1(X5,sk0_5)|~spl0_13)),
% 0.07/0.34 inference(resolution,[status(thm)],[f96,f12])).
% 0.07/0.34 fof(f129,plain,(
% 0.07/0.34 ![X0,X1,X2,X3,X4]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~r1(X4,sk0_4)|~spl0_13)),
% 0.07/0.34 inference(resolution,[status(thm)],[f127,f11])).
% 0.07/0.34 fof(f133,plain,(
% 0.07/0.34 ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,sk0_3)|~spl0_13)),
% 0.07/0.34 inference(resolution,[status(thm)],[f129,f10])).
% 0.07/0.34 fof(f135,plain,(
% 0.07/0.34 ![X0,X1,X2]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,sk0_2)|~spl0_13)),
% 0.07/0.34 inference(resolution,[status(thm)],[f133,f9])).
% 0.07/0.34 fof(f137,plain,(
% 0.07/0.34 ![X0,X1]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,sk0_1)|~spl0_13)),
% 0.07/0.34 inference(resolution,[status(thm)],[f135,f8])).
% 0.07/0.34 fof(f139,plain,(
% 0.07/0.34 ![X0]: (~r1(sk0_0,X0)|~r1(X0,sk0_0)|~spl0_13)),
% 0.07/0.34 inference(resolution,[status(thm)],[f137,f7])).
% 0.07/0.34 fof(f141,plain,(
% 0.07/0.34 ~r1(sk0_0,sk0_0)|~spl0_13),
% 0.07/0.34 inference(resolution,[status(thm)],[f139,f4])).
% 0.07/0.34 fof(f142,plain,(
% 0.07/0.34 $false|~spl0_13),
% 0.07/0.34 inference(forward_subsumption_resolution,[status(thm)],[f141,f4])).
% 0.07/0.34 fof(f143,plain,(
% 0.07/0.34 ~spl0_13),
% 0.07/0.34 inference(contradiction_clause,[status(thm)],[f142])).
% 0.07/0.34 fof(f144,plain,(
% 0.07/0.34 ![X0,X1,X2,X3,X4,X5,X6]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~r1(X4,X5)|~r1(X5,X6)|~r1(X6,sk0_6)|~p4(sk0_6)|~spl0_15)),
% 0.07/0.34 inference(resolution,[status(thm)],[f108,f21])).
% 0.07/0.34 fof(f145,plain,(
% 0.07/0.34 spl0_13|~spl0_4|~spl0_15),
% 0.07/0.34 inference(split_clause,[status(thm)],[f144,f95,f53,f107])).
% 0.07/0.34 fof(f146,plain,(
% 0.07/0.34 ![X0,X1,X2,X3,X4,X5,X6]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~r1(X4,X5)|~r1(X5,X6)|~r1(X6,sk0_6)|~p1(sk0_6)|~spl0_15)),
% 0.07/0.34 inference(resolution,[status(thm)],[f108,f17])).
% 0.07/0.34 fof(f147,plain,(
% 0.07/0.34 spl0_13|~spl0_14|~spl0_15),
% 0.07/0.34 inference(split_clause,[status(thm)],[f146,f95,f100,f107])).
% 0.07/0.34 fof(f148,plain,(
% 0.07/0.34 spl0_16 <=> p3(sk0_6)),
% 0.07/0.34 introduced(split_symbol_definition)).
% 0.07/0.34 fof(f149,plain,(
% 0.07/0.34 p3(sk0_6)|~spl0_16),
% 0.07/0.34 inference(component_clause,[status(thm)],[f148])).
% 0.07/0.34 fof(f151,plain,(
% 0.07/0.34 ![X0,X1,X2,X3,X4,X5,X6]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~r1(X4,X5)|~r1(X5,X6)|~r1(X6,sk0_6)|p3(sk0_6)|spl0_5)),
% 0.07/0.34 inference(resolution,[status(thm)],[f58,f28])).
% 0.07/0.34 fof(f152,plain,(
% 0.07/0.34 spl0_13|spl0_16|spl0_5),
% 0.07/0.34 inference(split_clause,[status(thm)],[f151,f95,f148,f56])).
% 0.07/0.34 fof(f155,plain,(
% 0.07/0.34 ![X0,X1,X2,X3,X4,X5,X6]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~r1(X4,X5)|~r1(X5,X6)|~r1(X6,sk0_6)|~p4(sk0_6)|~spl0_16)),
% 0.07/0.34 inference(resolution,[status(thm)],[f149,f25])).
% 0.07/0.34 fof(f156,plain,(
% 0.07/0.34 spl0_13|~spl0_4|~spl0_16),
% 0.07/0.34 inference(split_clause,[status(thm)],[f155,f95,f53,f148])).
% 0.07/0.34 fof(f157,plain,(
% 0.07/0.34 ![X0,X1,X2,X3,X4,X5,X6]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~r1(X4,X5)|~r1(X5,X6)|~r1(X6,sk0_6)|p5(sk0_6)|spl0_4)),
% 0.07/0.34 inference(resolution,[status(thm)],[f55,f20])).
% 0.07/0.34 fof(f158,plain,(
% 0.07/0.34 spl0_13|spl0_15|spl0_4),
% 0.07/0.34 inference(split_clause,[status(thm)],[f157,f95,f107,f53])).
% 0.07/0.34 fof(f159,plain,(
% 0.07/0.34 $false),
% 0.07/0.34 inference(sat_refutation,[status(thm)],[f90,f92,f94,f99,f104,f106,f111,f126,f143,f145,f147,f152,f156,f158])).
% 0.07/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/0.34 % Elapsed time: 0.019735 seconds
% 0.07/0.34 % CPU time: 0.064007 seconds
% 0.07/0.34 % Memory used: 2.461 MB
%------------------------------------------------------------------------------