TSTP Solution File: LCL656+1.005 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL656+1.005 : 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 : Tue Apr 30 20:27:42 EDT 2024
% Result : Theorem 2.61s 0.71s
% Output : CNFRefutation 2.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL656+1.005 : 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 : n008.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 20:33:27 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 2.61/0.71 % Refutation found
% 2.61/0.71 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.61/0.71 % SZS output start CNFRefutation for theBenchmark
% 2.61/0.71 fof(f1,axiom,(
% 2.61/0.71 (! [X] : r1(X,X) )),
% 2.61/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.61/0.71 fof(f2,conjecture,(
% 2.61/0.71 ~ (? [X] :~ ( ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p3(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)| ~ ( ~ p6(X)& ~ p106(X)& p105(X) ) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( p6(X)& ~ p106(X)& p105(X) ) ) ))| ~ ( ~ p105(Y)& p104(Y) ) )& ( ( ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ p5(X)& ~ p105(X)& p104(X) ) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( p5(X)& ~ p105(X)& p104(X) ) ) ))| ~ ( ~ p104(Y)& p103(Y) ) )& ( ( ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ p4(X)& ~ p104(X)& p103(X) ) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( p4(X)& ~ p104(X)& p103(X) ) ) ))| ~ ( ~ p103(Y)& p102(Y) ) )& ( ( ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ p3(X)& ~ p103(X)& p102(X) ) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( p3(X)& ~ p103(X)& p102(X) ) ) ))| ~ ( ~ p102(Y)& p101(Y) ) )& ( ( ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ p2(X)& ~ p102(X)& p101(X) ) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( p2(X)& ~ p102(X)& p101(X) ) ) ))| ~ ( ~ p101(Y)& p100(Y) ) )& ( ( ( (! [X] :( ~ r1(Y,X)| ~ p6(X)| ~ p105(X) ))| p6(Y) )& ( (! [X] :( ~ r1(Y,X)| p6(X)| ~ p105(X) ))| ~ p6(Y) ) )| ~ p105(Y) )& ( ( ( (! [X] :( ~ r1(Y,X)| ~ p5(X)| ~ p104(X) ))| p5(Y) )& ( (! [X] :( ~ r1(Y,X)| p5(X)| ~ p104(X) ))| ~ p5(Y) ) )| ~ p104(Y) )& ( ( ( (! [X] :( ~ r1(Y,X)| ~ p4(X)| ~ p103(X) ))| p4(Y) )& ( (! [X] :( ~ r1(Y,X)| p4(X)| ~ p103(X) ))| ~ p4(Y) ) )| ~ p103(Y) )& ( ( ( (! [X] :( ~ r1(Y,X)| ~ p3(X)| ~ p102(X) ))| p3(Y) )& ( (! [X] :( ~ r1(Y,X)| p3(X)| ~ p102(X) ))| ~ p3(Y) ) )| ~ p102(Y) )& ( ( ( (! [X] :( ~ r1(Y,X)| ~ p2(X)| ~ p101(X) ))| p2(Y) )& ( (! [X] :( ~ r1(Y,X)| p2(X)| ~ p101(X) ))| ~ p2(Y) ) )| ~ p101(Y) )& ( ( ( (! [X] :( ~ r1(Y,X)| ~ p1(X)| ~ p100(X) ))| p1(Y) )& ( (! [X] :( ~ r1(Y,X)| p1(X)| ~ p100(X) ))| ~ p1(Y) ) )| ~ p100(Y) )& ( p105(Y)| ~ p106(Y) )& ( p104(Y)| ~ p105(Y) )& ( p103(Y)| ~ p104(Y) )& ( p102(Y)| ~ p103(Y) )& ( p101(Y)| ~ p102(Y) )& ( p100(Y)| ~ p101(Y) ) ) ) )) )) )) )))& ~ p101(X)& p100(X) ) ) )),
% 2.61/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.61/0.71 fof(f3,negated_conjecture,(
% 2.61/0.71 ~(~ (? [X] :~ ( ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p3(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)| ~ ( ~ p6(X)& ~ p106(X)& p105(X) ) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( p6(X)& ~ p106(X)& p105(X) ) ) ))| ~ ( ~ p105(Y)& p104(Y) ) )& ( ( ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ p5(X)& ~ p105(X)& p104(X) ) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( p5(X)& ~ p105(X)& p104(X) ) ) ))| ~ ( ~ p104(Y)& p103(Y) ) )& ( ( ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ p4(X)& ~ p104(X)& p103(X) ) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( p4(X)& ~ p104(X)& p103(X) ) ) ))| ~ ( ~ p103(Y)& p102(Y) ) )& ( ( ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ p3(X)& ~ p103(X)& p102(X) ) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( p3(X)& ~ p103(X)& p102(X) ) ) ))| ~ ( ~ p102(Y)& p101(Y) ) )& ( ( ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ p2(X)& ~ p102(X)& p101(X) ) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( p2(X)& ~ p102(X)& p101(X) ) ) ))| ~ ( ~ p101(Y)& p100(Y) ) )& ( ( ( (! [X] :( ~ r1(Y,X)| ~ p6(X)| ~ p105(X) ))| p6(Y) )& ( (! [X] :( ~ r1(Y,X)| p6(X)| ~ p105(X) ))| ~ p6(Y) ) )| ~ p105(Y) )& ( ( ( (! [X] :( ~ r1(Y,X)| ~ p5(X)| ~ p104(X) ))| p5(Y) )& ( (! [X] :( ~ r1(Y,X)| p5(X)| ~ p104(X) ))| ~ p5(Y) ) )| ~ p104(Y) )& ( ( ( (! [X] :( ~ r1(Y,X)| ~ p4(X)| ~ p103(X) ))| p4(Y) )& ( (! [X] :( ~ r1(Y,X)| p4(X)| ~ p103(X) ))| ~ p4(Y) ) )| ~ p103(Y) )& ( ( ( (! [X] :( ~ r1(Y,X)| ~ p3(X)| ~ p102(X) ))| p3(Y) )& ( (! [X] :( ~ r1(Y,X)| p3(X)| ~ p102(X) ))| ~ p3(Y) ) )| ~ p102(Y) )& ( ( ( (! [X] :( ~ r1(Y,X)| ~ p2(X)| ~ p101(X) ))| p2(Y) )& ( (! [X] :( ~ r1(Y,X)| p2(X)| ~ p101(X) ))| ~ p2(Y) ) )| ~ p101(Y) )& ( ( ( (! [X] :( ~ r1(Y,X)| ~ p1(X)| ~ p100(X) ))| p1(Y) )& ( (! [X] :( ~ r1(Y,X)| p1(X)| ~ p100(X) ))| ~ p1(Y) ) )| ~ p100(Y) )& ( p105(Y)| ~ p106(Y) )& ( p104(Y)| ~ p105(Y) )& ( p103(Y)| ~ p104(Y) )& ( p102(Y)| ~ p103(Y) )& ( p101(Y)| ~ p102(Y) )& ( p100(Y)| ~ p101(Y) ) ) ) )) )) )) )))& ~ p101(X)& p100(X) ) ) ))),
% 2.61/0.71 inference(negated_conjecture,[status(cth)],[f2])).
% 2.61/0.71 fof(f4,plain,(
% 2.61/0.71 ![X0]: (r1(X0,X0))),
% 2.61/0.71 inference(cnf_transformation,[status(esa)],[f1])).
% 2.61/0.71 fof(f5,plain,(
% 2.61/0.71 ?[X]: ((![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|p3(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)&((~p6(X)&~p106(X))&p105(X))))&(?[X]: (r1(Y,X)&((p6(X)&~p106(X))&p105(X)))))|(p105(Y)|~p104(Y)))&(((?[X]: (r1(Y,X)&((~p5(X)&~p105(X))&p104(X))))&(?[X]: (r1(Y,X)&((p5(X)&~p105(X))&p104(X)))))|(p104(Y)|~p103(Y))))&(((?[X]: (r1(Y,X)&((~p4(X)&~p104(X))&p103(X))))&(?[X]: (r1(Y,X)&((p4(X)&~p104(X))&p103(X)))))|(p103(Y)|~p102(Y))))&(((?[X]: (r1(Y,X)&((~p3(X)&~p103(X))&p102(X))))&(?[X]: (r1(Y,X)&((p3(X)&~p103(X))&p102(X)))))|(p102(Y)|~p101(Y))))&(((?[X]: (r1(Y,X)&((~p2(X)&~p102(X))&p101(X))))&(?[X]: (r1(Y,X)&((p2(X)&~p102(X))&p101(X)))))|(p101(Y)|~p100(Y))))&((((![X]: ((~r1(Y,X)|~p6(X))|~p105(X)))|p6(Y))&((![X]: ((~r1(Y,X)|p6(X))|~p105(X)))|~p6(Y)))|~p105(Y)))&((((![X]: ((~r1(Y,X)|~p5(X))|~p104(X)))|p5(Y))&((![X]: ((~r1(Y,X)|p5(X))|~p104(X)))|~p5(Y)))|~p104(Y)))&((((![X]: ((~r1(Y,X)|~p4(X))|~p103(X)))|p4(Y))&((![X]: ((~r1(Y,X)|p4(X))|~p103(X)))|~p4(Y)))|~p103(Y)))&((((![X]: ((~r1(Y,X)|~p3(X))|~p102(X)))|p3(Y))&((![X]: ((~r1(Y,X)|p3(X))|~p102(X)))|~p3(Y)))|~p102(Y)))&((((![X]: ((~r1(Y,X)|~p2(X))|~p101(X)))|p2(Y))&((![X]: ((~r1(Y,X)|p2(X))|~p101(X)))|~p2(Y)))|~p101(Y)))&((((![X]: ((~r1(Y,X)|~p1(X))|~p100(X)))|p1(Y))&((![X]: ((~r1(Y,X)|p1(X))|~p100(X)))|~p1(Y)))|~p100(Y)))&(p105(Y)|~p106(Y)))&(p104(Y)|~p105(Y)))&(p103(Y)|~p104(Y)))&(p102(Y)|~p103(Y)))&(p101(Y)|~p102(Y)))&(p100(Y)|~p101(Y)))))))))))))&~p101(X))&p100(X)))),
% 2.61/0.71 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 2.61/0.71 fof(f6,plain,(
% 2.61/0.71 ((![Y]: (~r1(sk0_0,Y)|(![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|p3(Y)))))))))))&(((![Y]: (~r1(sk0_0,Y)|(![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(((((((((((((((((((r1(Y,sk0_1(Y,X,Y,X,Y))&((~p6(sk0_1(Y,X,Y,X,Y))&~p106(sk0_1(Y,X,Y,X,Y)))&p105(sk0_1(Y,X,Y,X,Y))))&(r1(Y,sk0_2(Y,X,Y,X,Y))&((p6(sk0_2(Y,X,Y,X,Y))&~p106(sk0_2(Y,X,Y,X,Y)))&p105(sk0_2(Y,X,Y,X,Y)))))|(p105(Y)|~p104(Y)))&(((r1(Y,sk0_3(Y,X,Y,X,Y))&((~p5(sk0_3(Y,X,Y,X,Y))&~p105(sk0_3(Y,X,Y,X,Y)))&p104(sk0_3(Y,X,Y,X,Y))))&(r1(Y,sk0_4(Y,X,Y,X,Y))&((p5(sk0_4(Y,X,Y,X,Y))&~p105(sk0_4(Y,X,Y,X,Y)))&p104(sk0_4(Y,X,Y,X,Y)))))|(p104(Y)|~p103(Y))))&(((r1(Y,sk0_5(Y,X,Y,X,Y))&((~p4(sk0_5(Y,X,Y,X,Y))&~p104(sk0_5(Y,X,Y,X,Y)))&p103(sk0_5(Y,X,Y,X,Y))))&(r1(Y,sk0_6(Y,X,Y,X,Y))&((p4(sk0_6(Y,X,Y,X,Y))&~p104(sk0_6(Y,X,Y,X,Y)))&p103(sk0_6(Y,X,Y,X,Y)))))|(p103(Y)|~p102(Y))))&(((r1(Y,sk0_7(Y,X,Y,X,Y))&((~p3(sk0_7(Y,X,Y,X,Y))&~p103(sk0_7(Y,X,Y,X,Y)))&p102(sk0_7(Y,X,Y,X,Y))))&(r1(Y,sk0_8(Y,X,Y,X,Y))&((p3(sk0_8(Y,X,Y,X,Y))&~p103(sk0_8(Y,X,Y,X,Y)))&p102(sk0_8(Y,X,Y,X,Y)))))|(p102(Y)|~p101(Y))))&(((r1(Y,sk0_9(Y,X,Y,X,Y))&((~p2(sk0_9(Y,X,Y,X,Y))&~p102(sk0_9(Y,X,Y,X,Y)))&p101(sk0_9(Y,X,Y,X,Y))))&(r1(Y,sk0_10(Y,X,Y,X,Y))&((p2(sk0_10(Y,X,Y,X,Y))&~p102(sk0_10(Y,X,Y,X,Y)))&p101(sk0_10(Y,X,Y,X,Y)))))|(p101(Y)|~p100(Y))))&((((![X]: ((~r1(Y,X)|~p6(X))|~p105(X)))|p6(Y))&((![X]: ((~r1(Y,X)|p6(X))|~p105(X)))|~p6(Y)))|~p105(Y)))&((((![X]: ((~r1(Y,X)|~p5(X))|~p104(X)))|p5(Y))&((![X]: ((~r1(Y,X)|p5(X))|~p104(X)))|~p5(Y)))|~p104(Y)))&((((![X]: ((~r1(Y,X)|~p4(X))|~p103(X)))|p4(Y))&((![X]: ((~r1(Y,X)|p4(X))|~p103(X)))|~p4(Y)))|~p103(Y)))&((((![X]: ((~r1(Y,X)|~p3(X))|~p102(X)))|p3(Y))&((![X]: ((~r1(Y,X)|p3(X))|~p102(X)))|~p3(Y)))|~p102(Y)))&((((![X]: ((~r1(Y,X)|~p2(X))|~p101(X)))|p2(Y))&((![X]: ((~r1(Y,X)|p2(X))|~p101(X)))|~p2(Y)))|~p101(Y)))&((((![X]: ((~r1(Y,X)|~p1(X))|~p100(X)))|p1(Y))&((![X]: ((~r1(Y,X)|p1(X))|~p100(X)))|~p1(Y)))|~p100(Y)))&(p105(Y)|~p106(Y)))&(p104(Y)|~p105(Y)))&(p103(Y)|~p104(Y)))&(p102(Y)|~p103(Y)))&(p101(Y)|~p102(Y)))&(p100(Y)|~p101(Y)))))))))))))&~p101(sk0_0))&p100(sk0_0)))),
% 2.61/0.71 inference(skolemization,[status(esa)],[f5])).
% 2.61/0.71 fof(f7,plain,(
% 2.61/0.71 ![X0,X1,X2,X3,X4]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|p3(X4))),
% 2.61/0.71 inference(cnf_transformation,[status(esa)],[f6])).
% 2.61/0.71 fof(f32,plain,(
% 2.61/0.71 ![X0,X1,X2,X3,X4]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|r1(X4,sk0_7(X4,X3,X2,X1,X0))|p102(X4)|~p101(X4))),
% 2.61/0.71 inference(cnf_transformation,[status(esa)],[f6])).
% 2.61/0.71 fof(f33,plain,(
% 2.61/0.71 ![X0,X1,X2,X3,X4]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~p3(sk0_7(X4,X3,X2,X1,X0))|p102(X4)|~p101(X4))),
% 2.61/0.71 inference(cnf_transformation,[status(esa)],[f6])).
% 2.61/0.71 fof(f44,plain,(
% 2.61/0.71 ![X0,X1,X2,X3,X4]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|r1(X4,sk0_10(X4,X3,X2,X1,X0))|p101(X4)|~p100(X4))),
% 2.61/0.71 inference(cnf_transformation,[status(esa)],[f6])).
% 2.61/0.71 fof(f46,plain,(
% 2.61/0.71 ![X0,X1,X2,X3,X4]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~p102(sk0_10(X4,X3,X2,X1,X0))|p101(X4)|~p100(X4))),
% 2.61/0.71 inference(cnf_transformation,[status(esa)],[f6])).
% 2.61/0.71 fof(f47,plain,(
% 2.61/0.71 ![X0,X1,X2,X3,X4]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|p101(sk0_10(X4,X3,X2,X1,X0))|p101(X4)|~p100(X4))),
% 2.61/0.71 inference(cnf_transformation,[status(esa)],[f6])).
% 2.61/0.71 fof(f66,plain,(
% 2.61/0.71 ~p101(sk0_0)),
% 2.61/0.71 inference(cnf_transformation,[status(esa)],[f6])).
% 2.61/0.71 fof(f67,plain,(
% 2.61/0.71 p100(sk0_0)),
% 2.61/0.71 inference(cnf_transformation,[status(esa)],[f6])).
% 2.61/0.71 fof(f70,plain,(
% 2.61/0.71 ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|r1(X3,sk0_10(X3,X2,X1,X0,sk0_0))|p101(X3)|~p100(X3))),
% 2.61/0.71 inference(resolution,[status(thm)],[f4,f44])).
% 2.61/0.71 fof(f72,plain,(
% 2.61/0.71 ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|p101(sk0_10(X3,X2,X1,X0,sk0_0))|p101(X3)|~p100(X3))),
% 2.61/0.71 inference(resolution,[status(thm)],[f4,f47])).
% 2.61/0.71 fof(f74,plain,(
% 2.61/0.71 ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|p3(X3))),
% 2.61/0.71 inference(resolution,[status(thm)],[f4,f7])).
% 2.61/0.71 fof(f75,plain,(
% 2.61/0.71 ![X0,X1,X2]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|p3(X2))),
% 2.61/0.71 inference(resolution,[status(thm)],[f74,f4])).
% 2.61/0.71 fof(f76,plain,(
% 2.61/0.71 ![X0,X1]: (~r1(sk0_0,X0)|~r1(X0,X1)|p3(X1))),
% 2.61/0.71 inference(resolution,[status(thm)],[f75,f4])).
% 2.61/0.71 fof(f79,plain,(
% 2.61/0.71 spl0_0 <=> ~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,sk0_0)|p101(sk0_10(sk0_0,X2,X1,X0,sk0_0))),
% 2.61/0.71 introduced(split_symbol_definition)).
% 2.61/0.71 fof(f80,plain,(
% 2.61/0.71 ![X0,X1,X2]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,sk0_0)|p101(sk0_10(sk0_0,X2,X1,X0,sk0_0))|~spl0_0)),
% 2.61/0.71 inference(component_clause,[status(thm)],[f79])).
% 2.61/0.71 fof(f82,plain,(
% 2.61/0.71 spl0_1 <=> p101(sk0_0)),
% 2.61/0.71 introduced(split_symbol_definition)).
% 2.61/0.71 fof(f83,plain,(
% 2.61/0.71 p101(sk0_0)|~spl0_1),
% 2.61/0.71 inference(component_clause,[status(thm)],[f82])).
% 2.61/0.71 fof(f85,plain,(
% 2.61/0.71 ![X0,X1,X2]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,sk0_0)|p101(sk0_10(sk0_0,X2,X1,X0,sk0_0))|p101(sk0_0))),
% 2.61/0.71 inference(resolution,[status(thm)],[f72,f67])).
% 2.61/0.71 fof(f86,plain,(
% 2.61/0.71 spl0_0|spl0_1),
% 2.61/0.71 inference(split_clause,[status(thm)],[f85,f79,f82])).
% 2.61/0.71 fof(f87,plain,(
% 2.61/0.71 ![X0,X1]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,sk0_0)|p101(sk0_10(sk0_0,X1,X0,sk0_0,sk0_0))|~spl0_0)),
% 2.61/0.71 inference(resolution,[status(thm)],[f80,f4])).
% 2.61/0.71 fof(f88,plain,(
% 2.61/0.71 ![X0]: (~r1(sk0_0,X0)|~r1(X0,sk0_0)|p101(sk0_10(sk0_0,X0,sk0_0,sk0_0,sk0_0))|~spl0_0)),
% 2.61/0.71 inference(resolution,[status(thm)],[f87,f4])).
% 2.61/0.71 fof(f89,plain,(
% 2.61/0.71 spl0_2 <=> r1(sk0_0,sk0_0)),
% 2.61/0.71 introduced(split_symbol_definition)).
% 2.61/0.71 fof(f91,plain,(
% 2.61/0.71 ~r1(sk0_0,sk0_0)|spl0_2),
% 2.61/0.71 inference(component_clause,[status(thm)],[f89])).
% 2.61/0.71 fof(f92,plain,(
% 2.61/0.71 spl0_3 <=> p101(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0))),
% 2.61/0.71 introduced(split_symbol_definition)).
% 2.61/0.71 fof(f93,plain,(
% 2.61/0.71 p101(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0))|~spl0_3),
% 2.61/0.71 inference(component_clause,[status(thm)],[f92])).
% 2.61/0.71 fof(f95,plain,(
% 2.61/0.71 ~r1(sk0_0,sk0_0)|p101(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0))|~spl0_0),
% 2.61/0.71 inference(resolution,[status(thm)],[f88,f4])).
% 2.61/0.71 fof(f96,plain,(
% 2.61/0.71 ~spl0_2|spl0_3|~spl0_0),
% 2.61/0.71 inference(split_clause,[status(thm)],[f95,f89,f92,f79])).
% 2.61/0.71 fof(f97,plain,(
% 2.61/0.71 $false|spl0_2),
% 2.61/0.71 inference(forward_subsumption_resolution,[status(thm)],[f91,f4])).
% 2.61/0.71 fof(f98,plain,(
% 2.61/0.71 spl0_2),
% 2.61/0.71 inference(contradiction_clause,[status(thm)],[f97])).
% 2.61/0.71 fof(f99,plain,(
% 2.61/0.71 $false|~spl0_1),
% 2.61/0.71 inference(forward_subsumption_resolution,[status(thm)],[f83,f66])).
% 2.61/0.71 fof(f100,plain,(
% 2.61/0.71 ~spl0_1),
% 2.61/0.71 inference(contradiction_clause,[status(thm)],[f99])).
% 2.61/0.71 fof(f104,plain,(
% 2.61/0.71 spl0_5 <=> r1(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0))),
% 2.61/0.71 introduced(split_symbol_definition)).
% 2.61/0.71 fof(f106,plain,(
% 2.61/0.71 ~r1(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0))|spl0_5),
% 2.61/0.71 inference(component_clause,[status(thm)],[f104])).
% 2.61/0.71 fof(f141,plain,(
% 2.61/0.71 spl0_12 <=> p102(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0))),
% 2.61/0.71 introduced(split_symbol_definition)).
% 2.61/0.71 fof(f142,plain,(
% 2.61/0.71 p102(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0))|~spl0_12),
% 2.61/0.71 inference(component_clause,[status(thm)],[f141])).
% 2.61/0.71 fof(f146,plain,(
% 2.61/0.71 spl0_13 <=> ~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0))|r1(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),sk0_7(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),X3,X2,X1,X0))),
% 2.61/0.71 introduced(split_symbol_definition)).
% 2.61/0.71 fof(f147,plain,(
% 2.61/0.71 ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0))|r1(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),sk0_7(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),X3,X2,X1,X0))|~spl0_13)),
% 2.61/0.71 inference(component_clause,[status(thm)],[f146])).
% 2.61/0.71 fof(f149,plain,(
% 2.61/0.71 ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0))|r1(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),sk0_7(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),X3,X2,X1,X0))|p102(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0))|~spl0_3)),
% 2.61/0.71 inference(resolution,[status(thm)],[f93,f32])).
% 2.61/0.71 fof(f150,plain,(
% 2.61/0.71 spl0_13|spl0_12|~spl0_3),
% 2.61/0.71 inference(split_clause,[status(thm)],[f149,f146,f141,f92])).
% 2.61/0.71 fof(f167,plain,(
% 2.61/0.71 spl0_17 <=> p100(sk0_0)),
% 2.61/0.71 introduced(split_symbol_definition)).
% 2.61/0.71 fof(f169,plain,(
% 2.61/0.71 ~p100(sk0_0)|spl0_17),
% 2.61/0.71 inference(component_clause,[status(thm)],[f167])).
% 2.61/0.71 fof(f170,plain,(
% 2.61/0.71 ~r1(sk0_0,sk0_0)|~r1(sk0_0,sk0_0)|~r1(sk0_0,sk0_0)|~r1(sk0_0,sk0_0)|~r1(sk0_0,sk0_0)|p101(sk0_0)|~p100(sk0_0)|~spl0_12),
% 2.61/0.71 inference(resolution,[status(thm)],[f142,f46])).
% 2.61/0.71 fof(f171,plain,(
% 2.61/0.71 ~spl0_2|spl0_1|~spl0_17|~spl0_12),
% 2.61/0.71 inference(split_clause,[status(thm)],[f170,f89,f82,f167,f141])).
% 2.61/0.71 fof(f214,plain,(
% 2.61/0.71 $false|spl0_17),
% 2.61/0.71 inference(forward_subsumption_resolution,[status(thm)],[f169,f67])).
% 2.61/0.71 fof(f215,plain,(
% 2.61/0.71 spl0_17),
% 2.61/0.71 inference(contradiction_clause,[status(thm)],[f214])).
% 2.61/0.71 fof(f235,plain,(
% 2.61/0.71 spl0_29 <=> r1(sk0_9(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),sk0_9(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0))),
% 2.61/0.71 introduced(split_symbol_definition)).
% 2.61/0.71 fof(f237,plain,(
% 2.61/0.71 ~r1(sk0_9(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),sk0_9(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0))|spl0_29),
% 2.61/0.71 inference(component_clause,[status(thm)],[f235])).
% 2.61/0.71 fof(f342,plain,(
% 2.61/0.71 spl0_49 <=> ~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,sk0_0)|r1(sk0_0,sk0_10(sk0_0,X2,X1,X0,sk0_0))),
% 2.61/0.71 introduced(split_symbol_definition)).
% 2.61/0.71 fof(f343,plain,(
% 2.61/0.71 ![X0,X1,X2]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,sk0_0)|r1(sk0_0,sk0_10(sk0_0,X2,X1,X0,sk0_0))|~spl0_49)),
% 2.61/0.71 inference(component_clause,[status(thm)],[f342])).
% 2.61/0.71 fof(f345,plain,(
% 2.61/0.71 ![X0,X1,X2]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,sk0_0)|r1(sk0_0,sk0_10(sk0_0,X2,X1,X0,sk0_0))|p101(sk0_0))),
% 2.61/0.71 inference(resolution,[status(thm)],[f70,f67])).
% 2.61/0.71 fof(f346,plain,(
% 2.61/0.71 spl0_49|spl0_1),
% 2.61/0.71 inference(split_clause,[status(thm)],[f345,f342,f82])).
% 2.61/0.71 fof(f347,plain,(
% 2.61/0.71 ![X0,X1]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,sk0_0)|r1(sk0_0,sk0_10(sk0_0,X1,X0,sk0_0,sk0_0))|~spl0_49)),
% 2.61/0.71 inference(resolution,[status(thm)],[f343,f4])).
% 2.61/0.71 fof(f348,plain,(
% 2.61/0.71 ![X0]: (~r1(sk0_0,X0)|~r1(X0,sk0_0)|r1(sk0_0,sk0_10(sk0_0,X0,sk0_0,sk0_0,sk0_0))|~spl0_49)),
% 2.61/0.71 inference(resolution,[status(thm)],[f347,f4])).
% 2.61/0.71 fof(f349,plain,(
% 2.61/0.71 spl0_50 <=> r1(sk0_0,sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0))),
% 2.61/0.71 introduced(split_symbol_definition)).
% 2.61/0.71 fof(f350,plain,(
% 2.61/0.71 r1(sk0_0,sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0))|~spl0_50),
% 2.61/0.71 inference(component_clause,[status(thm)],[f349])).
% 2.61/0.71 fof(f352,plain,(
% 2.61/0.71 ~r1(sk0_0,sk0_0)|r1(sk0_0,sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0))|~spl0_49),
% 2.61/0.71 inference(resolution,[status(thm)],[f348,f4])).
% 2.61/0.71 fof(f353,plain,(
% 2.61/0.71 ~spl0_2|spl0_50|~spl0_49),
% 2.61/0.71 inference(split_clause,[status(thm)],[f352,f89,f349,f342])).
% 2.61/0.71 fof(f379,plain,(
% 2.61/0.71 ![X0]: (~r1(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),X0)|p3(X0)|~spl0_50)),
% 2.61/0.71 inference(resolution,[status(thm)],[f350,f76])).
% 2.61/0.71 fof(f452,plain,(
% 2.61/0.71 $false|spl0_5),
% 2.61/0.71 inference(forward_subsumption_resolution,[status(thm)],[f106,f4])).
% 2.61/0.71 fof(f453,plain,(
% 2.61/0.71 spl0_5),
% 2.61/0.71 inference(contradiction_clause,[status(thm)],[f452])).
% 2.61/0.71 fof(f462,plain,(
% 2.61/0.71 $false|spl0_29),
% 2.61/0.71 inference(forward_subsumption_resolution,[status(thm)],[f237,f4])).
% 2.61/0.71 fof(f463,plain,(
% 2.61/0.71 spl0_29),
% 2.61/0.71 inference(contradiction_clause,[status(thm)],[f462])).
% 2.61/0.71 fof(f633,plain,(
% 2.61/0.71 ![X0,X1,X2]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,sk0_0)|r1(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),sk0_7(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),sk0_0,X2,X1,X0))|~spl0_13|~spl0_50)),
% 2.61/0.71 inference(resolution,[status(thm)],[f147,f350])).
% 2.61/0.71 fof(f674,plain,(
% 2.61/0.71 spl0_87 <=> r1(sk0_7(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),sk0_0,sk0_0,sk0_0,sk0_0),sk0_7(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),sk0_0,sk0_0,sk0_0,sk0_0))),
% 2.61/0.71 introduced(split_symbol_definition)).
% 2.61/0.71 fof(f676,plain,(
% 2.61/0.71 ~r1(sk0_7(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),sk0_0,sk0_0,sk0_0,sk0_0),sk0_7(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),sk0_0,sk0_0,sk0_0,sk0_0))|spl0_87),
% 2.61/0.71 inference(component_clause,[status(thm)],[f674])).
% 2.61/0.71 fof(f677,plain,(
% 2.61/0.71 spl0_88 <=> p3(sk0_7(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),sk0_0,sk0_0,sk0_0,sk0_0))),
% 2.61/0.71 introduced(split_symbol_definition)).
% 2.61/0.71 fof(f678,plain,(
% 2.61/0.71 p3(sk0_7(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),sk0_0,sk0_0,sk0_0,sk0_0))|~spl0_88),
% 2.61/0.71 inference(component_clause,[status(thm)],[f677])).
% 2.61/0.71 fof(f759,plain,(
% 2.61/0.71 ~r1(sk0_0,sk0_0)|~r1(sk0_0,sk0_0)|~r1(sk0_0,sk0_0)|~r1(sk0_0,sk0_0)|~r1(sk0_0,sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0))|p102(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0))|~p101(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0))|~spl0_88),
% 2.61/0.71 inference(resolution,[status(thm)],[f678,f33])).
% 2.61/0.71 fof(f760,plain,(
% 2.61/0.71 ~spl0_2|~spl0_50|spl0_12|~spl0_3|~spl0_88),
% 2.61/0.71 inference(split_clause,[status(thm)],[f759,f89,f349,f141,f92,f677])).
% 2.61/0.71 fof(f761,plain,(
% 2.61/0.71 $false|spl0_87),
% 2.61/0.71 inference(forward_subsumption_resolution,[status(thm)],[f676,f4])).
% 2.61/0.71 fof(f762,plain,(
% 2.61/0.71 spl0_87),
% 2.61/0.71 inference(contradiction_clause,[status(thm)],[f761])).
% 2.61/0.71 fof(f915,plain,(
% 2.61/0.71 spl0_131 <=> r1(sk0_7(sk0_9(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),sk0_0,sk0_0,sk0_0,sk0_0),sk0_7(sk0_9(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),sk0_0,sk0_0,sk0_0,sk0_0))),
% 2.61/0.71 introduced(split_symbol_definition)).
% 2.61/0.71 fof(f917,plain,(
% 2.61/0.71 ~r1(sk0_7(sk0_9(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),sk0_0,sk0_0,sk0_0,sk0_0),sk0_7(sk0_9(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),sk0_0,sk0_0,sk0_0,sk0_0))|spl0_131),
% 2.61/0.71 inference(component_clause,[status(thm)],[f915])).
% 2.61/0.71 fof(f1000,plain,(
% 2.61/0.71 $false|spl0_131),
% 2.61/0.71 inference(forward_subsumption_resolution,[status(thm)],[f917,f4])).
% 2.61/0.71 fof(f1001,plain,(
% 2.61/0.71 spl0_131),
% 2.61/0.71 inference(contradiction_clause,[status(thm)],[f1000])).
% 2.61/0.71 fof(f1118,plain,(
% 2.61/0.71 ![X0,X1]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,sk0_0)|r1(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),sk0_7(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),sk0_0,sk0_0,X1,X0))|~spl0_13|~spl0_50)),
% 2.61/0.71 inference(resolution,[status(thm)],[f633,f4])).
% 2.61/0.71 fof(f1119,plain,(
% 2.61/0.71 ![X0]: (~r1(sk0_0,X0)|~r1(X0,sk0_0)|r1(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),sk0_7(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),sk0_0,sk0_0,sk0_0,X0))|~spl0_13|~spl0_50)),
% 2.61/0.71 inference(resolution,[status(thm)],[f1118,f4])).
% 2.61/0.71 fof(f1120,plain,(
% 2.61/0.71 spl0_168 <=> r1(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),sk0_7(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),sk0_0,sk0_0,sk0_0,sk0_0))),
% 2.61/0.71 introduced(split_symbol_definition)).
% 2.61/0.71 fof(f1121,plain,(
% 2.61/0.71 r1(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),sk0_7(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),sk0_0,sk0_0,sk0_0,sk0_0))|~spl0_168),
% 2.61/0.71 inference(component_clause,[status(thm)],[f1120])).
% 2.61/0.71 fof(f1123,plain,(
% 2.61/0.71 ~r1(sk0_0,sk0_0)|r1(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),sk0_7(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),sk0_0,sk0_0,sk0_0,sk0_0))|~spl0_13|~spl0_50),
% 2.61/0.71 inference(resolution,[status(thm)],[f1119,f4])).
% 2.61/0.71 fof(f1124,plain,(
% 2.61/0.71 ~spl0_2|spl0_168|~spl0_13|~spl0_50),
% 2.61/0.71 inference(split_clause,[status(thm)],[f1123,f89,f1120,f146,f349])).
% 2.61/0.72 fof(f1195,plain,(
% 2.61/0.72 p3(sk0_7(sk0_10(sk0_0,sk0_0,sk0_0,sk0_0,sk0_0),sk0_0,sk0_0,sk0_0,sk0_0))|~spl0_168|~spl0_50),
% 2.61/0.72 inference(resolution,[status(thm)],[f1121,f379])).
% 2.61/0.72 fof(f1196,plain,(
% 2.61/0.72 spl0_88|~spl0_168|~spl0_50),
% 2.61/0.72 inference(split_clause,[status(thm)],[f1195,f677,f1120,f349])).
% 2.61/0.72 fof(f1197,plain,(
% 2.61/0.72 $false),
% 2.61/0.72 inference(sat_refutation,[status(thm)],[f86,f96,f98,f100,f150,f171,f215,f346,f353,f453,f463,f760,f762,f1001,f1124,f1196])).
% 2.61/0.72 % SZS output end CNFRefutation for theBenchmark.p
% 2.61/0.73 % Elapsed time: 0.377408 seconds
% 2.61/0.73 % CPU time: 2.904198 seconds
% 2.61/0.73 % Total memory used: 29.897 MB
% 2.61/0.73 % Net memory used: 29.460 MB
%------------------------------------------------------------------------------