TSTP Solution File: LCL650+1.001 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL650+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 12:19:52 EDT 2023
% Result : Theorem 0.17s 0.35s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL650+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n018.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 09:48:40 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Drodi V3.5.1
% 0.17/0.35 % Refutation found
% 0.17/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.35 fof(f1,conjecture,(
% 0.17/0.35 ~ (? [X] :~ ( (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ( ~ p8(X)& ~ p6(X)& ~ p4(X)& ~ p2(X) ) ) )) )) )))| (! [Y] :( ~ r1(X,Y)| p5(Y) ))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ ( ( ~ p3(X)& ~ p1(X) )| ( p1(X)& p3(X) ) ) ) )) )))| (! [X] :( ~ r1(Y,X)| p4(X) ))| ~ (! [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)| ~ ( ( ~ p1(X)& ~ p2(X) )| ( p2(X)& p1(X) ) ) ) )) )) ) )) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ( p4(X)& p3(X)& p2(X)& p1(X) ) ) )) )) )) )) )),
% 0.17/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.35 fof(f2,negated_conjecture,(
% 0.17/0.35 ~(~ (? [X] :~ ( (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ( ~ p8(X)& ~ p6(X)& ~ p4(X)& ~ p2(X) ) ) )) )) )))| (! [Y] :( ~ r1(X,Y)| p5(Y) ))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ ( ( ~ p3(X)& ~ p1(X) )| ( p1(X)& p3(X) ) ) ) )) )))| (! [X] :( ~ r1(Y,X)| p4(X) ))| ~ (! [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)| ~ ( ( ~ p1(X)& ~ p2(X) )| ( p2(X)& p1(X) ) ) ) )) )) ) )) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ( p4(X)& p3(X)& p2(X)& p1(X) ) ) )) )) )) )) ))),
% 0.17/0.36 inference(negated_conjecture,[status(cth)],[f1])).
% 0.17/0.36 fof(f3,plain,(
% 0.17/0.36 ?[X]: ((((?[Y]: (r1(X,Y)&(?[X]: (r1(Y,X)&(?[Y]: (r1(X,Y)&(?[X]: (r1(Y,X)&(((p8(X)|p6(X))|p4(X))|p2(X))))))))))&(?[Y]: (r1(X,Y)&~p5(Y))))&(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|((p3(X)|p1(X))&(~p1(X)|~p3(X)))))))))&(?[X]: (r1(Y,X)&~p4(X))))&(![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)|((p1(X)|p2(X))&(~p2(X)|~p1(X))))))))))))))&(?[Y]: (r1(X,Y)&(?[X]: (r1(Y,X)&(?[Y]: (r1(X,Y)&(?[X]: (r1(Y,X)&(((~p4(X)|~p3(X))|~p2(X))|~p1(X)))))))))))),
% 0.17/0.36 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.17/0.36 fof(f4,plain,(
% 0.17/0.36 ((((r1(sk0_0,sk0_1)&(r1(sk0_1,sk0_2)&(r1(sk0_2,sk0_3)&(r1(sk0_3,sk0_4)&(((p8(sk0_4)|p6(sk0_4))|p4(sk0_4))|p2(sk0_4))))))&(r1(sk0_0,sk0_5)&~p5(sk0_5)))&(![Y]: (~r1(sk0_0,Y)|(((![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|((p3(X)|p1(X))&(~p1(X)|~p3(X)))))))))&(r1(Y,sk0_6(Y))&~p4(sk0_6(Y))))&(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|((p2(X)|p3(X))&(~p3(X)|~p2(X)))))))&(r1(X,sk0_7(X,Y))&~p3(sk0_7(X,Y))))&(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|((p1(X)|p2(X))&(~p2(X)|~p1(X))))))))))))))&(r1(sk0_0,sk0_8)&(r1(sk0_8,sk0_9)&(r1(sk0_9,sk0_10)&(r1(sk0_10,sk0_11)&(((~p4(sk0_11)|~p3(sk0_11))|~p2(sk0_11))|~p1(sk0_11)))))))),
% 0.17/0.36 inference(skolemization,[status(esa)],[f3])).
% 0.17/0.36 fof(f5,plain,(
% 0.17/0.36 r1(sk0_0,sk0_1)),
% 0.17/0.36 inference(cnf_transformation,[status(esa)],[f4])).
% 0.17/0.36 fof(f10,plain,(
% 0.17/0.36 r1(sk0_0,sk0_5)),
% 0.17/0.36 inference(cnf_transformation,[status(esa)],[f4])).
% 0.17/0.36 fof(f12,plain,(
% 0.17/0.36 ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|p3(X3)|p1(X3))),
% 0.17/0.36 inference(cnf_transformation,[status(esa)],[f4])).
% 0.17/0.36 fof(f13,plain,(
% 0.17/0.36 ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~p1(X3)|~p3(X3))),
% 0.17/0.36 inference(cnf_transformation,[status(esa)],[f4])).
% 0.17/0.36 fof(f14,plain,(
% 0.17/0.36 ![X0]: (~r1(sk0_0,X0)|r1(X0,sk0_6(X0)))),
% 0.17/0.36 inference(cnf_transformation,[status(esa)],[f4])).
% 0.17/0.36 fof(f16,plain,(
% 0.17/0.36 ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|p2(X3)|p3(X3))),
% 0.17/0.36 inference(cnf_transformation,[status(esa)],[f4])).
% 0.17/0.36 fof(f17,plain,(
% 0.17/0.36 ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~p3(X3)|~p2(X3))),
% 0.17/0.36 inference(cnf_transformation,[status(esa)],[f4])).
% 0.17/0.36 fof(f20,plain,(
% 0.17/0.36 ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|p1(X3)|p2(X3))),
% 0.17/0.36 inference(cnf_transformation,[status(esa)],[f4])).
% 0.17/0.36 fof(f21,plain,(
% 0.17/0.36 ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~p2(X3)|~p1(X3))),
% 0.17/0.36 inference(cnf_transformation,[status(esa)],[f4])).
% 0.17/0.36 fof(f22,plain,(
% 0.17/0.36 r1(sk0_0,sk0_8)),
% 0.17/0.36 inference(cnf_transformation,[status(esa)],[f4])).
% 0.17/0.36 fof(f23,plain,(
% 0.17/0.36 r1(sk0_8,sk0_9)),
% 0.17/0.36 inference(cnf_transformation,[status(esa)],[f4])).
% 0.17/0.36 fof(f24,plain,(
% 0.17/0.36 r1(sk0_9,sk0_10)),
% 0.17/0.36 inference(cnf_transformation,[status(esa)],[f4])).
% 0.17/0.36 fof(f25,plain,(
% 0.17/0.36 r1(sk0_10,sk0_11)),
% 0.17/0.36 inference(cnf_transformation,[status(esa)],[f4])).
% 0.17/0.36 fof(f43,plain,(
% 0.17/0.36 spl0_5 <=> p3(sk0_11)),
% 0.17/0.36 introduced(split_symbol_definition)).
% 0.17/0.36 fof(f46,plain,(
% 0.17/0.36 spl0_6 <=> p2(sk0_11)),
% 0.17/0.36 introduced(split_symbol_definition)).
% 0.17/0.36 fof(f49,plain,(
% 0.17/0.36 spl0_7 <=> p1(sk0_11)),
% 0.17/0.36 introduced(split_symbol_definition)).
% 0.17/0.36 fof(f53,plain,(
% 0.17/0.36 ![X0,X1,X2]: (~r1(sk0_8,X0)|~r1(X0,X1)|~r1(X1,X2)|p3(X2)|p1(X2))),
% 0.17/0.36 inference(resolution,[status(thm)],[f12,f22])).
% 0.17/0.36 fof(f54,plain,(
% 0.17/0.36 ![X0,X1,X2]: (~r1(sk0_5,X0)|~r1(X0,X1)|~r1(X1,X2)|p3(X2)|p1(X2))),
% 0.17/0.36 inference(resolution,[status(thm)],[f12,f10])).
% 0.17/0.36 fof(f55,plain,(
% 0.17/0.36 ![X0,X1,X2]: (~r1(sk0_1,X0)|~r1(X0,X1)|~r1(X1,X2)|p3(X2)|p1(X2))),
% 0.17/0.36 inference(resolution,[status(thm)],[f12,f5])).
% 0.17/0.36 fof(f65,plain,(
% 0.17/0.36 ![X0,X1]: (~r1(sk0_9,X0)|~r1(X0,X1)|p3(X1)|p1(X1))),
% 0.17/0.36 inference(resolution,[status(thm)],[f53,f23])).
% 0.17/0.36 fof(f67,plain,(
% 0.17/0.36 spl0_10 <=> ~r1(sk0_6(sk0_8),X0)|~r1(X0,X1)|p3(X1)|p1(X1)),
% 0.17/0.36 introduced(split_symbol_definition)).
% 0.17/0.36 fof(f68,plain,(
% 0.17/0.36 ![X0,X1]: (~r1(sk0_6(sk0_8),X0)|~r1(X0,X1)|p3(X1)|p1(X1)|~spl0_10)),
% 0.17/0.36 inference(component_clause,[status(thm)],[f67])).
% 0.17/0.36 fof(f70,plain,(
% 0.17/0.36 spl0_11 <=> r1(sk0_0,sk0_8)),
% 0.17/0.36 introduced(split_symbol_definition)).
% 0.17/0.36 fof(f72,plain,(
% 0.17/0.36 ~r1(sk0_0,sk0_8)|spl0_11),
% 0.17/0.36 inference(component_clause,[status(thm)],[f70])).
% 0.17/0.36 fof(f73,plain,(
% 0.17/0.36 ![X0,X1]: (~r1(sk0_6(sk0_8),X0)|~r1(X0,X1)|p3(X1)|p1(X1)|~r1(sk0_0,sk0_8))),
% 0.17/0.36 inference(resolution,[status(thm)],[f53,f14])).
% 0.17/0.36 fof(f74,plain,(
% 0.17/0.36 spl0_10|~spl0_11),
% 0.17/0.36 inference(split_clause,[status(thm)],[f73,f67,f70])).
% 0.17/0.36 fof(f75,plain,(
% 0.17/0.36 $false|spl0_11),
% 0.17/0.36 inference(forward_subsumption_resolution,[status(thm)],[f72,f22])).
% 0.17/0.36 fof(f76,plain,(
% 0.17/0.36 spl0_11),
% 0.17/0.36 inference(contradiction_clause,[status(thm)],[f75])).
% 0.17/0.36 fof(f77,plain,(
% 0.17/0.36 ![X0,X1,X2]: (~r1(sk0_8,X0)|~r1(X0,X1)|~r1(X1,X2)|~p1(X2)|~p3(X2))),
% 0.17/0.36 inference(resolution,[status(thm)],[f13,f22])).
% 0.17/0.36 fof(f78,plain,(
% 0.17/0.36 ![X0,X1,X2]: (~r1(sk0_5,X0)|~r1(X0,X1)|~r1(X1,X2)|~p1(X2)|~p3(X2))),
% 0.17/0.36 inference(resolution,[status(thm)],[f13,f10])).
% 0.17/0.36 fof(f79,plain,(
% 0.17/0.36 ![X0,X1,X2]: (~r1(sk0_1,X0)|~r1(X0,X1)|~r1(X1,X2)|~p1(X2)|~p3(X2))),
% 0.17/0.36 inference(resolution,[status(thm)],[f13,f5])).
% 0.17/0.36 fof(f86,plain,(
% 0.17/0.36 ![X0,X1,X2]: (~r1(sk0_8,X0)|~r1(X0,X1)|~r1(X1,X2)|p2(X2)|p3(X2))),
% 0.17/0.36 inference(resolution,[status(thm)],[f16,f22])).
% 0.17/0.36 fof(f87,plain,(
% 0.17/0.36 ![X0,X1,X2]: (~r1(sk0_5,X0)|~r1(X0,X1)|~r1(X1,X2)|p2(X2)|p3(X2))),
% 0.17/0.36 inference(resolution,[status(thm)],[f16,f10])).
% 0.17/0.36 fof(f88,plain,(
% 0.17/0.36 ![X0,X1,X2]: (~r1(sk0_1,X0)|~r1(X0,X1)|~r1(X1,X2)|p2(X2)|p3(X2))),
% 0.17/0.36 inference(resolution,[status(thm)],[f16,f5])).
% 0.17/0.36 fof(f95,plain,(
% 0.17/0.36 ![X0,X1]: (~r1(sk0_9,X0)|~r1(X0,X1)|~p1(X1)|~p3(X1))),
% 0.17/0.36 inference(resolution,[status(thm)],[f77,f23])).
% 0.17/0.36 fof(f97,plain,(
% 0.17/0.36 spl0_14 <=> ~r1(sk0_6(sk0_8),X0)|~r1(X0,X1)|~p1(X1)|~p3(X1)),
% 0.17/0.36 introduced(split_symbol_definition)).
% 0.17/0.36 fof(f98,plain,(
% 0.17/0.36 ![X0,X1]: (~r1(sk0_6(sk0_8),X0)|~r1(X0,X1)|~p1(X1)|~p3(X1)|~spl0_14)),
% 0.17/0.36 inference(component_clause,[status(thm)],[f97])).
% 0.17/0.36 fof(f100,plain,(
% 0.17/0.36 ![X0,X1]: (~r1(sk0_6(sk0_8),X0)|~r1(X0,X1)|~p1(X1)|~p3(X1)|~r1(sk0_0,sk0_8))),
% 0.17/0.36 inference(resolution,[status(thm)],[f77,f14])).
% 0.17/0.36 fof(f101,plain,(
% 0.17/0.36 spl0_14|~spl0_11),
% 0.17/0.36 inference(split_clause,[status(thm)],[f100,f97,f70])).
% 0.17/0.36 fof(f102,plain,(
% 0.17/0.36 ![X0]: (~r1(sk0_10,X0)|~p1(X0)|~p3(X0))),
% 0.17/0.36 inference(resolution,[status(thm)],[f95,f24])).
% 0.17/0.36 fof(f112,plain,(
% 0.17/0.36 ~p1(sk0_11)|~p3(sk0_11)),
% 0.17/0.36 inference(resolution,[status(thm)],[f102,f25])).
% 0.17/0.36 fof(f113,plain,(
% 0.17/0.36 ~spl0_7|~spl0_5),
% 0.17/0.36 inference(split_clause,[status(thm)],[f112,f49,f43])).
% 0.17/0.36 fof(f127,plain,(
% 0.17/0.36 spl0_20 <=> ~r1(sk0_6(sk0_5),X0)|~r1(X0,X1)|~p1(X1)|~p3(X1)),
% 0.17/0.36 introduced(split_symbol_definition)).
% 0.17/0.36 fof(f128,plain,(
% 0.17/0.36 ![X0,X1]: (~r1(sk0_6(sk0_5),X0)|~r1(X0,X1)|~p1(X1)|~p3(X1)|~spl0_20)),
% 0.17/0.36 inference(component_clause,[status(thm)],[f127])).
% 0.17/0.36 fof(f130,plain,(
% 0.17/0.36 spl0_21 <=> r1(sk0_0,sk0_5)),
% 0.17/0.36 introduced(split_symbol_definition)).
% 0.17/0.36 fof(f132,plain,(
% 0.17/0.36 ~r1(sk0_0,sk0_5)|spl0_21),
% 0.17/0.36 inference(component_clause,[status(thm)],[f130])).
% 0.17/0.36 fof(f133,plain,(
% 0.17/0.36 ![X0,X1]: (~r1(sk0_6(sk0_5),X0)|~r1(X0,X1)|~p1(X1)|~p3(X1)|~r1(sk0_0,sk0_5))),
% 0.17/0.36 inference(resolution,[status(thm)],[f78,f14])).
% 0.17/0.36 fof(f134,plain,(
% 0.17/0.36 spl0_20|~spl0_21),
% 0.17/0.36 inference(split_clause,[status(thm)],[f133,f127,f130])).
% 0.17/0.36 fof(f135,plain,(
% 0.17/0.36 $false|spl0_21),
% 0.17/0.36 inference(forward_subsumption_resolution,[status(thm)],[f132,f10])).
% 0.17/0.36 fof(f136,plain,(
% 0.17/0.36 spl0_21),
% 0.17/0.36 inference(contradiction_clause,[status(thm)],[f135])).
% 0.17/0.36 fof(f139,plain,(
% 0.17/0.36 spl0_22 <=> ~r1(sk0_6(sk0_1),X0)|~r1(X0,X1)|~p1(X1)|~p3(X1)),
% 0.17/0.36 introduced(split_symbol_definition)).
% 0.17/0.36 fof(f140,plain,(
% 0.17/0.36 ![X0,X1]: (~r1(sk0_6(sk0_1),X0)|~r1(X0,X1)|~p1(X1)|~p3(X1)|~spl0_22)),
% 0.17/0.36 inference(component_clause,[status(thm)],[f139])).
% 0.17/0.36 fof(f142,plain,(
% 0.17/0.36 spl0_23 <=> r1(sk0_0,sk0_1)),
% 0.17/0.36 introduced(split_symbol_definition)).
% 0.17/0.36 fof(f144,plain,(
% 0.17/0.36 ~r1(sk0_0,sk0_1)|spl0_23),
% 0.17/0.36 inference(component_clause,[status(thm)],[f142])).
% 0.17/0.36 fof(f145,plain,(
% 0.17/0.36 ![X0,X1]: (~r1(sk0_6(sk0_1),X0)|~r1(X0,X1)|~p1(X1)|~p3(X1)|~r1(sk0_0,sk0_1))),
% 0.17/0.36 inference(resolution,[status(thm)],[f79,f14])).
% 0.17/0.36 fof(f146,plain,(
% 0.17/0.36 spl0_22|~spl0_23),
% 0.17/0.36 inference(split_clause,[status(thm)],[f145,f139,f142])).
% 0.17/0.36 fof(f147,plain,(
% 0.17/0.36 $false|spl0_23),
% 0.17/0.36 inference(forward_subsumption_resolution,[status(thm)],[f144,f5])).
% 0.17/0.36 fof(f148,plain,(
% 0.17/0.36 spl0_23),
% 0.17/0.36 inference(contradiction_clause,[status(thm)],[f147])).
% 0.17/0.36 fof(f179,plain,(
% 0.17/0.36 ![X0]: (~r1(sk0_10,X0)|p3(X0)|p1(X0))),
% 0.17/0.36 inference(resolution,[status(thm)],[f65,f24])).
% 0.17/0.36 fof(f186,plain,(
% 0.17/0.36 p3(sk0_11)|p1(sk0_11)),
% 0.17/0.36 inference(resolution,[status(thm)],[f179,f25])).
% 0.17/0.36 fof(f187,plain,(
% 0.17/0.36 spl0_5|spl0_7),
% 0.17/0.36 inference(split_clause,[status(thm)],[f186,f43,f49])).
% 0.17/0.36 fof(f193,plain,(
% 0.17/0.36 spl0_32 <=> ~r1(sk0_6(sk0_5),X0)|~r1(X0,X1)|p3(X1)|p1(X1)),
% 0.17/0.36 introduced(split_symbol_definition)).
% 0.17/0.36 fof(f194,plain,(
% 0.17/0.36 ![X0,X1]: (~r1(sk0_6(sk0_5),X0)|~r1(X0,X1)|p3(X1)|p1(X1)|~spl0_32)),
% 0.17/0.36 inference(component_clause,[status(thm)],[f193])).
% 0.17/0.36 fof(f196,plain,(
% 0.17/0.36 ![X0,X1]: (~r1(sk0_6(sk0_5),X0)|~r1(X0,X1)|p3(X1)|p1(X1)|~r1(sk0_0,sk0_5))),
% 0.17/0.36 inference(resolution,[status(thm)],[f54,f14])).
% 0.17/0.36 fof(f197,plain,(
% 0.17/0.36 spl0_32|~spl0_21),
% 0.17/0.36 inference(split_clause,[status(thm)],[f196,f193,f130])).
% 0.17/0.36 fof(f200,plain,(
% 0.17/0.36 spl0_33 <=> ~r1(sk0_6(sk0_1),X0)|~r1(X0,X1)|p3(X1)|p1(X1)),
% 0.17/0.36 introduced(split_symbol_definition)).
% 0.17/0.36 fof(f201,plain,(
% 0.17/0.36 ![X0,X1]: (~r1(sk0_6(sk0_1),X0)|~r1(X0,X1)|p3(X1)|p1(X1)|~spl0_33)),
% 0.17/0.36 inference(component_clause,[status(thm)],[f200])).
% 0.17/0.36 fof(f203,plain,(
% 0.17/0.36 ![X0,X1]: (~r1(sk0_6(sk0_1),X0)|~r1(X0,X1)|p3(X1)|p1(X1)|~r1(sk0_0,sk0_1))),
% 0.17/0.36 inference(resolution,[status(thm)],[f55,f14])).
% 0.17/0.36 fof(f204,plain,(
% 0.17/0.36 spl0_33|~spl0_23),
% 0.17/0.36 inference(split_clause,[status(thm)],[f203,f200,f142])).
% 0.17/0.36 fof(f218,plain,(
% 0.17/0.36 ![X0,X1,X2]: (~r1(sk0_8,X0)|~r1(X0,X1)|~r1(X1,X2)|~p3(X2)|~p2(X2))),
% 0.17/0.36 inference(resolution,[status(thm)],[f17,f22])).
% 0.17/0.36 fof(f219,plain,(
% 0.17/0.36 ![X0,X1,X2]: (~r1(sk0_5,X0)|~r1(X0,X1)|~r1(X1,X2)|~p3(X2)|~p2(X2))),
% 0.17/0.36 inference(resolution,[status(thm)],[f17,f10])).
% 0.17/0.36 fof(f220,plain,(
% 0.17/0.36 ![X0,X1,X2]: (~r1(sk0_1,X0)|~r1(X0,X1)|~r1(X1,X2)|~p3(X2)|~p2(X2))),
% 0.17/0.36 inference(resolution,[status(thm)],[f17,f5])).
% 0.17/0.36 fof(f227,plain,(
% 0.17/0.36 ![X0,X1,X2]: (~r1(sk0_8,X0)|~r1(X0,X1)|~r1(X1,X2)|p1(X2)|p2(X2))),
% 0.17/0.36 inference(resolution,[status(thm)],[f20,f22])).
% 0.17/0.36 fof(f236,plain,(
% 0.17/0.36 ![X0,X1,X2]: (~r1(sk0_8,X0)|~r1(X0,X1)|~r1(X1,X2)|~p2(X2)|~p1(X2))),
% 0.17/0.36 inference(resolution,[status(thm)],[f21,f22])).
% 0.17/0.36 fof(f237,plain,(
% 0.17/0.36 ![X0,X1,X2]: (~r1(sk0_5,X0)|~r1(X0,X1)|~r1(X1,X2)|~p2(X2)|~p1(X2))),
% 0.17/0.36 inference(resolution,[status(thm)],[f21,f10])).
% 0.17/0.36 fof(f238,plain,(
% 0.17/0.36 ![X0,X1,X2]: (~r1(sk0_1,X0)|~r1(X0,X1)|~r1(X1,X2)|~p2(X2)|~p1(X2))),
% 0.17/0.36 inference(resolution,[status(thm)],[f21,f5])).
% 0.17/0.36 fof(f293,plain,(
% 0.17/0.36 spl0_47 <=> ~r1(sk0_6(sk0_6(sk0_8)),X0)|p3(X0)|p1(X0)),
% 0.17/0.36 introduced(split_symbol_definition)).
% 0.17/0.36 fof(f296,plain,(
% 0.17/0.36 spl0_48 <=> r1(sk0_0,sk0_6(sk0_8))),
% 0.17/0.36 introduced(split_symbol_definition)).
% 0.17/0.36 fof(f299,plain,(
% 0.17/0.36 ![X0]: (~r1(sk0_6(sk0_6(sk0_8)),X0)|p3(X0)|p1(X0)|~r1(sk0_0,sk0_6(sk0_8))|~spl0_10)),
% 0.17/0.36 inference(resolution,[status(thm)],[f68,f14])).
% 0.17/0.36 fof(f300,plain,(
% 0.17/0.36 spl0_47|~spl0_48|~spl0_10),
% 0.17/0.36 inference(split_clause,[status(thm)],[f299,f293,f296,f67])).
% 0.17/0.36 fof(f315,plain,(
% 0.17/0.36 spl0_52 <=> ~r1(sk0_6(sk0_6(sk0_8)),X0)|~p1(X0)|~p3(X0)),
% 0.17/0.36 introduced(split_symbol_definition)).
% 0.17/0.36 fof(f318,plain,(
% 0.17/0.36 ![X0]: (~r1(sk0_6(sk0_6(sk0_8)),X0)|~p1(X0)|~p3(X0)|~r1(sk0_0,sk0_6(sk0_8))|~spl0_14)),
% 0.17/0.36 inference(resolution,[status(thm)],[f98,f14])).
% 0.17/0.36 fof(f319,plain,(
% 0.17/0.36 spl0_52|~spl0_48|~spl0_14),
% 0.17/0.36 inference(split_clause,[status(thm)],[f318,f315,f296,f97])).
% 0.17/0.36 fof(f341,plain,(
% 0.17/0.36 ![X0,X1]: (~r1(sk0_9,X0)|~r1(X0,X1)|~p3(X1)|~p2(X1))),
% 0.17/0.36 inference(resolution,[status(thm)],[f218,f23])).
% 0.17/0.36 fof(f343,plain,(
% 0.17/0.36 spl0_56 <=> ~r1(sk0_6(sk0_8),X0)|~r1(X0,X1)|~p3(X1)|~p2(X1)),
% 0.17/0.36 introduced(split_symbol_definition)).
% 0.17/0.36 fof(f346,plain,(
% 0.17/0.36 ![X0,X1]: (~r1(sk0_6(sk0_8),X0)|~r1(X0,X1)|~p3(X1)|~p2(X1)|~r1(sk0_0,sk0_8))),
% 0.17/0.36 inference(resolution,[status(thm)],[f218,f14])).
% 0.17/0.36 fof(f347,plain,(
% 0.17/0.36 spl0_56|~spl0_11),
% 0.17/0.36 inference(split_clause,[status(thm)],[f346,f343,f70])).
% 0.17/0.36 fof(f348,plain,(
% 0.17/0.36 ![X0]: (~r1(sk0_10,X0)|~p3(X0)|~p2(X0))),
% 0.17/0.36 inference(resolution,[status(thm)],[f341,f24])).
% 0.17/0.36 fof(f355,plain,(
% 0.17/0.36 ~p3(sk0_11)|~p2(sk0_11)),
% 0.17/0.36 inference(resolution,[status(thm)],[f348,f25])).
% 0.17/0.36 fof(f356,plain,(
% 0.17/0.36 ~spl0_5|~spl0_6),
% 0.17/0.36 inference(split_clause,[status(thm)],[f355,f43,f46])).
% 0.17/0.36 fof(f364,plain,(
% 0.17/0.36 spl0_59 <=> ~r1(sk0_6(sk0_5),X0)|~r1(X0,X1)|~p3(X1)|~p2(X1)),
% 0.17/0.36 introduced(split_symbol_definition)).
% 0.17/0.36 fof(f367,plain,(
% 0.17/0.36 ![X0,X1]: (~r1(sk0_6(sk0_5),X0)|~r1(X0,X1)|~p3(X1)|~p2(X1)|~r1(sk0_0,sk0_5))),
% 0.17/0.36 inference(resolution,[status(thm)],[f219,f14])).
% 0.17/0.36 fof(f368,plain,(
% 0.17/0.36 spl0_59|~spl0_21),
% 0.17/0.36 inference(split_clause,[status(thm)],[f367,f364,f130])).
% 0.17/0.36 fof(f371,plain,(
% 0.17/0.36 spl0_60 <=> ~r1(sk0_6(sk0_1),X0)|~r1(X0,X1)|~p3(X1)|~p2(X1)),
% 0.17/0.36 introduced(split_symbol_definition)).
% 0.17/0.36 fof(f374,plain,(
% 0.17/0.36 ![X0,X1]: (~r1(sk0_6(sk0_1),X0)|~r1(X0,X1)|~p3(X1)|~p2(X1)|~r1(sk0_0,sk0_1))),
% 0.17/0.36 inference(resolution,[status(thm)],[f220,f14])).
% 0.17/0.36 fof(f375,plain,(
% 0.17/0.36 spl0_60|~spl0_23),
% 0.17/0.36 inference(split_clause,[status(thm)],[f374,f371,f142])).
% 0.17/0.36 fof(f394,plain,(
% 0.17/0.36 ![X0,X1]: (~r1(sk0_9,X0)|~r1(X0,X1)|~p2(X1)|~p1(X1))),
% 0.17/0.36 inference(resolution,[status(thm)],[f236,f23])).
% 0.17/0.36 fof(f396,plain,(
% 0.17/0.36 spl0_63 <=> ~r1(sk0_6(sk0_8),X0)|~r1(X0,X1)|~p2(X1)|~p1(X1)),
% 0.17/0.36 introduced(split_symbol_definition)).
% 0.17/0.36 fof(f399,plain,(
% 0.17/0.36 ![X0,X1]: (~r1(sk0_6(sk0_8),X0)|~r1(X0,X1)|~p2(X1)|~p1(X1)|~r1(sk0_0,sk0_8))),
% 0.17/0.36 inference(resolution,[status(thm)],[f236,f14])).
% 0.17/0.36 fof(f400,plain,(
% 0.17/0.36 spl0_63|~spl0_11),
% 0.17/0.36 inference(split_clause,[status(thm)],[f399,f396,f70])).
% 0.17/0.36 fof(f401,plain,(
% 0.17/0.36 ![X0]: (~r1(sk0_10,X0)|~p2(X0)|~p1(X0))),
% 0.17/0.36 inference(resolution,[status(thm)],[f394,f24])).
% 0.17/0.36 fof(f408,plain,(
% 0.17/0.36 ~p2(sk0_11)|~p1(sk0_11)),
% 0.17/0.36 inference(resolution,[status(thm)],[f401,f25])).
% 0.17/0.36 fof(f409,plain,(
% 0.17/0.36 ~spl0_6|~spl0_7),
% 0.17/0.36 inference(split_clause,[status(thm)],[f408,f46,f49])).
% 0.17/0.36 fof(f415,plain,(
% 0.17/0.36 spl0_65 <=> ~r1(sk0_6(sk0_5),X0)|~r1(X0,X1)|~p2(X1)|~p1(X1)),
% 0.17/0.36 introduced(split_symbol_definition)).
% 0.17/0.36 fof(f418,plain,(
% 0.17/0.36 ![X0,X1]: (~r1(sk0_6(sk0_5),X0)|~r1(X0,X1)|~p2(X1)|~p1(X1)|~r1(sk0_0,sk0_5))),
% 0.17/0.36 inference(resolution,[status(thm)],[f237,f14])).
% 0.17/0.36 fof(f419,plain,(
% 0.17/0.36 spl0_65|~spl0_21),
% 0.17/0.36 inference(split_clause,[status(thm)],[f418,f415,f130])).
% 0.17/0.36 fof(f422,plain,(
% 0.17/0.36 spl0_66 <=> ~r1(sk0_6(sk0_1),X0)|~r1(X0,X1)|~p2(X1)|~p1(X1)),
% 0.17/0.36 introduced(split_symbol_definition)).
% 0.17/0.36 fof(f425,plain,(
% 0.17/0.36 ![X0,X1]: (~r1(sk0_6(sk0_1),X0)|~r1(X0,X1)|~p2(X1)|~p1(X1)|~r1(sk0_0,sk0_1))),
% 0.17/0.36 inference(resolution,[status(thm)],[f238,f14])).
% 0.17/0.36 fof(f426,plain,(
% 0.17/0.36 spl0_66|~spl0_23),
% 0.17/0.36 inference(split_clause,[status(thm)],[f425,f422,f142])).
% 0.17/0.36 fof(f443,plain,(
% 0.17/0.36 ![X0,X1]: (~r1(sk0_9,X0)|~r1(X0,X1)|p2(X1)|p3(X1))),
% 0.17/0.36 inference(resolution,[status(thm)],[f86,f23])).
% 0.17/0.36 fof(f445,plain,(
% 0.17/0.36 spl0_68 <=> ~r1(sk0_6(sk0_8),X0)|~r1(X0,X1)|p2(X1)|p3(X1)),
% 0.17/0.36 introduced(split_symbol_definition)).
% 0.17/0.36 fof(f448,plain,(
% 0.17/0.36 ![X0,X1]: (~r1(sk0_6(sk0_8),X0)|~r1(X0,X1)|p2(X1)|p3(X1)|~r1(sk0_0,sk0_8))),
% 0.17/0.40 inference(resolution,[status(thm)],[f86,f14])).
% 0.17/0.40 fof(f449,plain,(
% 0.17/0.40 spl0_68|~spl0_11),
% 0.17/0.40 inference(split_clause,[status(thm)],[f448,f445,f70])).
% 0.17/0.40 fof(f450,plain,(
% 0.17/0.40 ![X0]: (~r1(sk0_10,X0)|p2(X0)|p3(X0))),
% 0.17/0.40 inference(resolution,[status(thm)],[f443,f24])).
% 0.17/0.40 fof(f457,plain,(
% 0.17/0.40 p2(sk0_11)|p3(sk0_11)),
% 0.17/0.40 inference(resolution,[status(thm)],[f450,f25])).
% 0.17/0.40 fof(f458,plain,(
% 0.17/0.40 spl0_6|spl0_5),
% 0.17/0.40 inference(split_clause,[status(thm)],[f457,f46,f43])).
% 0.17/0.40 fof(f475,plain,(
% 0.17/0.40 spl0_71 <=> ~r1(sk0_6(sk0_5),X0)|~r1(X0,X1)|p2(X1)|p3(X1)),
% 0.17/0.40 introduced(split_symbol_definition)).
% 0.17/0.40 fof(f478,plain,(
% 0.17/0.40 ![X0,X1]: (~r1(sk0_6(sk0_5),X0)|~r1(X0,X1)|p2(X1)|p3(X1)|~r1(sk0_0,sk0_5))),
% 0.17/0.40 inference(resolution,[status(thm)],[f87,f14])).
% 0.17/0.40 fof(f479,plain,(
% 0.17/0.40 spl0_71|~spl0_21),
% 0.17/0.40 inference(split_clause,[status(thm)],[f478,f475,f130])).
% 0.17/0.40 fof(f482,plain,(
% 0.17/0.40 spl0_72 <=> ~r1(sk0_6(sk0_1),X0)|~r1(X0,X1)|p2(X1)|p3(X1)),
% 0.17/0.40 introduced(split_symbol_definition)).
% 0.17/0.40 fof(f485,plain,(
% 0.17/0.40 ![X0,X1]: (~r1(sk0_6(sk0_1),X0)|~r1(X0,X1)|p2(X1)|p3(X1)|~r1(sk0_0,sk0_1))),
% 0.17/0.40 inference(resolution,[status(thm)],[f88,f14])).
% 0.17/0.40 fof(f486,plain,(
% 0.17/0.40 spl0_72|~spl0_23),
% 0.17/0.40 inference(split_clause,[status(thm)],[f485,f482,f142])).
% 0.17/0.40 fof(f517,plain,(
% 0.17/0.40 ![X0,X1]: (~r1(sk0_9,X0)|~r1(X0,X1)|p1(X1)|p2(X1))),
% 0.17/0.40 inference(resolution,[status(thm)],[f227,f23])).
% 0.17/0.40 fof(f519,plain,(
% 0.17/0.40 spl0_75 <=> ~r1(sk0_6(sk0_8),X0)|~r1(X0,X1)|p1(X1)|p2(X1)),
% 0.17/0.40 introduced(split_symbol_definition)).
% 0.17/0.40 fof(f522,plain,(
% 0.17/0.40 ![X0,X1]: (~r1(sk0_6(sk0_8),X0)|~r1(X0,X1)|p1(X1)|p2(X1)|~r1(sk0_0,sk0_8))),
% 0.17/0.40 inference(resolution,[status(thm)],[f227,f14])).
% 0.17/0.40 fof(f523,plain,(
% 0.17/0.40 spl0_75|~spl0_11),
% 0.17/0.40 inference(split_clause,[status(thm)],[f522,f519,f70])).
% 0.17/0.40 fof(f553,plain,(
% 0.17/0.40 spl0_79 <=> ~r1(sk0_6(sk0_6(sk0_5)),X0)|~p1(X0)|~p3(X0)),
% 0.17/0.40 introduced(split_symbol_definition)).
% 0.17/0.40 fof(f556,plain,(
% 0.17/0.40 spl0_80 <=> r1(sk0_0,sk0_6(sk0_5))),
% 0.17/0.40 introduced(split_symbol_definition)).
% 0.17/0.40 fof(f559,plain,(
% 0.17/0.40 ![X0]: (~r1(sk0_6(sk0_6(sk0_5)),X0)|~p1(X0)|~p3(X0)|~r1(sk0_0,sk0_6(sk0_5))|~spl0_20)),
% 0.17/0.40 inference(resolution,[status(thm)],[f128,f14])).
% 0.17/0.40 fof(f560,plain,(
% 0.17/0.40 spl0_79|~spl0_80|~spl0_20),
% 0.17/0.40 inference(split_clause,[status(thm)],[f559,f553,f556,f127])).
% 0.17/0.40 fof(f562,plain,(
% 0.17/0.40 spl0_81 <=> ~r1(sk0_6(sk0_6(sk0_1)),X0)|~p1(X0)|~p3(X0)),
% 0.17/0.40 introduced(split_symbol_definition)).
% 0.17/0.40 fof(f565,plain,(
% 0.17/0.40 spl0_82 <=> r1(sk0_0,sk0_6(sk0_1))),
% 0.17/0.40 introduced(split_symbol_definition)).
% 0.17/0.40 fof(f568,plain,(
% 0.17/0.40 ![X0]: (~r1(sk0_6(sk0_6(sk0_1)),X0)|~p1(X0)|~p3(X0)|~r1(sk0_0,sk0_6(sk0_1))|~spl0_22)),
% 0.17/0.40 inference(resolution,[status(thm)],[f140,f14])).
% 0.17/0.40 fof(f569,plain,(
% 0.17/0.40 spl0_81|~spl0_82|~spl0_22),
% 0.17/0.40 inference(split_clause,[status(thm)],[f568,f562,f565,f139])).
% 0.17/0.40 fof(f599,plain,(
% 0.17/0.40 spl0_89 <=> ~r1(sk0_6(sk0_6(sk0_5)),X0)|p3(X0)|p1(X0)),
% 0.17/0.40 introduced(split_symbol_definition)).
% 0.17/0.40 fof(f602,plain,(
% 0.17/0.40 ![X0]: (~r1(sk0_6(sk0_6(sk0_5)),X0)|p3(X0)|p1(X0)|~r1(sk0_0,sk0_6(sk0_5))|~spl0_32)),
% 0.17/0.40 inference(resolution,[status(thm)],[f194,f14])).
% 0.17/0.40 fof(f603,plain,(
% 0.17/0.40 spl0_89|~spl0_80|~spl0_32),
% 0.17/0.40 inference(split_clause,[status(thm)],[f602,f599,f556,f193])).
% 0.17/0.40 fof(f609,plain,(
% 0.17/0.40 spl0_90 <=> ~r1(sk0_6(sk0_6(sk0_1)),X0)|p3(X0)|p1(X0)),
% 0.17/0.40 introduced(split_symbol_definition)).
% 0.17/0.40 fof(f612,plain,(
% 0.17/0.40 ![X0]: (~r1(sk0_6(sk0_6(sk0_1)),X0)|p3(X0)|p1(X0)|~r1(sk0_0,sk0_6(sk0_1))|~spl0_33)),
% 0.17/0.40 inference(resolution,[status(thm)],[f201,f14])).
% 0.17/0.40 fof(f613,plain,(
% 0.17/0.40 spl0_90|~spl0_82|~spl0_33),
% 0.17/0.40 inference(split_clause,[status(thm)],[f612,f609,f565,f200])).
% 0.17/0.40 fof(f639,plain,(
% 0.17/0.40 ![X0]: (~r1(sk0_10,X0)|p1(X0)|p2(X0))),
% 0.17/0.40 inference(resolution,[status(thm)],[f517,f24])).
% 0.17/0.40 fof(f646,plain,(
% 0.17/0.40 p1(sk0_11)|p2(sk0_11)),
% 0.17/0.40 inference(resolution,[status(thm)],[f639,f25])).
% 0.17/0.40 fof(f647,plain,(
% 0.17/0.40 spl0_7|spl0_6),
% 0.17/0.40 inference(split_clause,[status(thm)],[f646,f49,f46])).
% 0.17/0.40 fof(f651,plain,(
% 0.17/0.40 $false),
% 0.17/0.40 inference(sat_refutation,[status(thm)],[f74,f76,f101,f113,f134,f136,f146,f148,f187,f197,f204,f300,f319,f347,f356,f368,f375,f400,f409,f419,f426,f449,f458,f479,f486,f523,f560,f569,f603,f613,f647])).
% 0.17/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.40 % Elapsed time: 0.075810 seconds
% 0.17/0.40 % CPU time: 0.067626 seconds
% 0.17/0.40 % Memory used: 1.439 MB
%------------------------------------------------------------------------------