%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL656+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:10:40 PM UTC 2026
% Result : Theorem 0.21s 10.67s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL656+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/10.44 % Computer : n014.cluster.edu
% 0.17/10.44 % Model : x86_64 x86_64
% 0.17/10.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/10.44 % Memory : 8046.5625MB
% 0.17/10.44 % OS : Linux 6.8.0-71-generic
% 0.17/10.44 % CPULimit : 300
% 0.17/10.44 % WCLimit : 300
% 0.17/10.44 % DateTime : Mon Sep 21 00:47:46 UTC 2026
% 0.17/10.44 % CPUTime :
% 0.17/10.45 % Drodi V4.1.1
% 0.21/10.67 % Refutation found
% 0.21/10.67 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/10.67 % SZS output start CNFRefutation for theBenchmark
% 0.21/10.67 fof(f1,axiom,(
% 0.21/10.67 (! [X] : r1(X,X) )),
% 0.21/10.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/10.67 fof(f2,conjecture,(
% 0.21/10.67 ~ (? [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) ) ) )),
% 0.21/10.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/10.67 fof(f3,negated_conjecture,(
% 0.21/10.67 ~(~ (? [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) ) ) ))),
% 0.21/10.68 inference(negated_conjecture,[status(cth)],[f2])).
% 0.21/10.68 fof(f4,plain,(
% 0.21/10.68 ![X0]: (r1(X0,X0))),
% 0.21/10.68 inference(cnf_transformation,[status(thm)],[f1])).
% 0.21/10.68 fof(f5,plain,(
% 0.21/10.68 ?[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)))),
% 0.21/10.68 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.21/10.68 fof(f6,plain,(
% 0.21/10.68 ((![Y]: (~r1(sK0_skl,Y)|(![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|p3(Y)))))))))))&(((![Y]: (~r1(sK0_skl,Y)|(![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(((((((((((((((((((r1(Y,sK1_skl(Y,X,Y,X,Y))&((~p6(sK1_skl(Y,X,Y,X,Y))&~p106(sK1_skl(Y,X,Y,X,Y)))&p105(sK1_skl(Y,X,Y,X,Y))))&(r1(Y,sK2_skl(Y,X,Y,X,Y))&((p6(sK2_skl(Y,X,Y,X,Y))&~p106(sK2_skl(Y,X,Y,X,Y)))&p105(sK2_skl(Y,X,Y,X,Y)))))|(p105(Y)|~p104(Y)))&(((r1(Y,sK3_skl(Y,X,Y,X,Y))&((~p5(sK3_skl(Y,X,Y,X,Y))&~p105(sK3_skl(Y,X,Y,X,Y)))&p104(sK3_skl(Y,X,Y,X,Y))))&(r1(Y,sK4_skl(Y,X,Y,X,Y))&((p5(sK4_skl(Y,X,Y,X,Y))&~p105(sK4_skl(Y,X,Y,X,Y)))&p104(sK4_skl(Y,X,Y,X,Y)))))|(p104(Y)|~p103(Y))))&(((r1(Y,sK5_skl(Y,X,Y,X,Y))&((~p4(sK5_skl(Y,X,Y,X,Y))&~p104(sK5_skl(Y,X,Y,X,Y)))&p103(sK5_skl(Y,X,Y,X,Y))))&(r1(Y,sK6_skl(Y,X,Y,X,Y))&((p4(sK6_skl(Y,X,Y,X,Y))&~p104(sK6_skl(Y,X,Y,X,Y)))&p103(sK6_skl(Y,X,Y,X,Y)))))|(p103(Y)|~p102(Y))))&(((r1(Y,sK7_skl(Y,X,Y,X,Y))&((~p3(sK7_skl(Y,X,Y,X,Y))&~p103(sK7_skl(Y,X,Y,X,Y)))&p102(sK7_skl(Y,X,Y,X,Y))))&(r1(Y,sK8_skl(Y,X,Y,X,Y))&((p3(sK8_skl(Y,X,Y,X,Y))&~p103(sK8_skl(Y,X,Y,X,Y)))&p102(sK8_skl(Y,X,Y,X,Y)))))|(p102(Y)|~p101(Y))))&(((r1(Y,sK9_skl(Y,X,Y,X,Y))&((~p2(sK9_skl(Y,X,Y,X,Y))&~p102(sK9_skl(Y,X,Y,X,Y)))&p101(sK9_skl(Y,X,Y,X,Y))))&(r1(Y,sK10_skl(Y,X,Y,X,Y))&((p2(sK10_skl(Y,X,Y,X,Y))&~p102(sK10_skl(Y,X,Y,X,Y)))&p101(sK10_skl(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_skl))&p100(sK0_skl)))),
% 0.21/10.68 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl,sK9_skl,sK10_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl(Y,X,Y,X,Y)),skolemize(X,sK2_skl(Y,X,Y,X,Y)),skolemize(X,sK3_skl(Y,X,Y,X,Y)),skolemize(X,sK4_skl(Y,X,Y,X,Y)),skolemize(X,sK5_skl(Y,X,Y,X,Y)),skolemize(X,sK6_skl(Y,X,Y,X,Y)),skolemize(X,sK7_skl(Y,X,Y,X,Y)),skolemize(X,sK8_skl(Y,X,Y,X,Y)),skolemize(X,sK9_skl(Y,X,Y,X,Y)),skolemize(X,sK10_skl(Y,X,Y,X,Y))],[f5])).
% 0.21/10.68 fof(f7,plain,(
% 0.21/10.68 ![X0,X1,X2,X3,X4]: (~r1(sK0_skl,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|p3(X4))),
% 0.21/10.68 inference(cnf_transformation,[status(thm)],[f6])).
% 0.21/10.68 fof(f32,plain,(
% 0.21/10.68 ![X0,X1,X2,X3,X4]: (~r1(sK0_skl,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|r1(X4,sK7_skl(X4,X3,X2,X1,X0))|p102(X4)|~p101(X4))),
% 0.21/10.68 inference(cnf_transformation,[status(thm)],[f6])).
% 0.21/10.68 fof(f33,plain,(
% 0.21/10.68 ![X0,X1,X2,X3,X4]: (~r1(sK0_skl,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~p3(sK7_skl(X4,X3,X2,X1,X0))|p102(X4)|~p101(X4))),
% 0.21/10.68 inference(cnf_transformation,[status(thm)],[f6])).
% 0.21/10.68 fof(f44,plain,(
% 0.21/10.68 ![X0,X1,X2,X3,X4]: (~r1(sK0_skl,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|r1(X4,sK10_skl(X4,X3,X2,X1,X0))|p101(X4)|~p100(X4))),
% 0.21/10.68 inference(cnf_transformation,[status(thm)],[f6])).
% 0.21/10.68 fof(f46,plain,(
% 0.21/10.68 ![X0,X1,X2,X3,X4]: (~r1(sK0_skl,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|~p102(sK10_skl(X4,X3,X2,X1,X0))|p101(X4)|~p100(X4))),
% 0.21/10.68 inference(cnf_transformation,[status(thm)],[f6])).
% 0.21/10.68 fof(f47,plain,(
% 0.21/10.68 ![X0,X1,X2,X3,X4]: (~r1(sK0_skl,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,X4)|p101(sK10_skl(X4,X3,X2,X1,X0))|p101(X4)|~p100(X4))),
% 0.21/10.68 inference(cnf_transformation,[status(thm)],[f6])).
% 0.21/10.68 fof(f66,plain,(
% 0.21/10.68 ~p101(sK0_skl)),
% 0.21/10.68 inference(cnf_transformation,[status(thm)],[f6])).
% 0.21/10.68 fof(f67,plain,(
% 0.21/10.68 p100(sK0_skl)),
% 0.21/10.68 inference(cnf_transformation,[status(thm)],[f6])).
% 0.21/10.68 fof(f70,plain,(
% 0.21/10.68 ![X0,X1,X2,X3]: (~r1(sK0_skl,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|p3(X3))),
% 0.21/10.68 inference(resolution,[status(thm)],[f4,f7])).
% 0.21/10.68 fof(f71,plain,(
% 0.21/10.68 ![X0,X1,X2]: (~r1(sK0_skl,X0)|~r1(X0,X1)|~r1(X1,X2)|p3(X2))),
% 0.21/10.68 inference(resolution,[status(thm)],[f70,f4])).
% 0.21/10.68 fof(f72,plain,(
% 0.21/10.68 ![X0,X1]: (~r1(sK0_skl,X0)|~r1(X0,X1)|p3(X1))),
% 0.21/10.68 inference(resolution,[status(thm)],[f71,f4])).
% 0.21/10.68 fof(f83,definition,(
% 0.21/10.68 sQ1_spl <=> (p101(sK0_skl))),
% 0.21/10.68 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.21/10.68 fof(f84,plain,(
% 0.21/10.68 p101(sK0_skl)|~sQ1_spl),
% 0.21/10.68 inference(component_clause,[status(thm)],[f83])).
% 0.21/10.68 fof(f86,definition,(
% 0.21/10.68 sQ2_spl <=> (p100(sK0_skl))),
% 0.21/10.68 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.21/10.68 fof(f88,plain,(
% 0.21/10.68 ~p100(sK0_skl)|sQ2_spl),
% 0.21/10.68 inference(component_clause,[status(thm)],[f86])).
% 0.21/10.68 fof(f90,plain,(
% 0.21/10.68 $false|sQ2_spl),
% 0.21/10.68 inference(forward_subsumption_resolution,[status(thm)],[f88,f67])).
% 0.21/10.68 fof(f91,plain,(
% 0.21/10.68 sQ2_spl),
% 0.21/10.68 inference(contradiction_clause,[status(thm)],[f90])).
% 0.21/10.68 fof(f113,plain,(
% 0.21/10.68 $false|~sQ1_spl),
% 0.21/10.68 inference(forward_subsumption_resolution,[status(thm)],[f84,f66])).
% 0.21/10.68 fof(f114,plain,(
% 0.21/10.68 ~sQ1_spl),
% 0.21/10.68 inference(contradiction_clause,[status(thm)],[f113])).
% 0.21/10.68 fof(f116,plain,(
% 0.21/10.68 ![X0,X1,X2,X3]: (~r1(sK0_skl,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|r1(X3,sK10_skl(X3,X2,X1,X0,sK0_skl))|p101(X3)|~p100(X3))),
% 0.21/10.68 inference(resolution,[status(thm)],[f44,f4])).
% 0.21/10.68 fof(f142,plain,(
% 0.21/10.68 ![X0,X1,X2,X3]: (~r1(sK0_skl,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,sK0_skl)|p101(sK10_skl(sK0_skl,X3,X2,X1,X0))|p101(sK0_skl))),
% 0.21/10.68 inference(resolution,[status(thm)],[f47,f67])).
% 0.21/10.68 fof(f143,definition,(
% 0.21/10.68 ![X0,X1,X2,X3]: (sQ7_spl <=> (~r1(sK0_skl,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,sK0_skl)|p101(sK10_skl(sK0_skl,X3,X2,X1,X0))))),
% 0.21/10.68 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.21/10.68 fof(f144,plain,(
% 0.21/10.68 ![X0,X1,X2,X3]: (~r1(sK0_skl,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,sK0_skl)|p101(sK10_skl(sK0_skl,X3,X2,X1,X0))|~sQ7_spl)),
% 0.21/10.68 inference(component_clause,[status(thm)],[f143])).
% 0.21/10.68 fof(f146,plain,(
% 0.21/10.68 sQ7_spl|sQ1_spl),
% 0.21/10.68 inference(split_clause,[status(thm)],[f142,f143,f83])).
% 0.21/10.68 fof(f148,definition,(
% 0.21/10.68 sQ8_spl <=> (r1(sK0_skl,sK0_skl))),
% 0.21/10.68 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.21/10.68 fof(f150,plain,(
% 0.21/10.68 ~r1(sK0_skl,sK0_skl)|sQ8_spl),
% 0.21/10.68 inference(component_clause,[status(thm)],[f148])).
% 0.21/10.68 fof(f215,plain,(
% 0.21/10.68 $false|sQ8_spl),
% 0.21/10.68 inference(forward_subsumption_resolution,[status(thm)],[f150,f4])).
% 0.21/10.68 fof(f216,plain,(
% 0.21/10.68 sQ8_spl),
% 0.21/10.68 inference(contradiction_clause,[status(thm)],[f215])).
% 0.21/10.68 fof(f227,plain,(
% 0.21/10.68 ![X0,X1,X2]: (~r1(sK0_skl,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,sK0_skl)|p101(sK10_skl(sK0_skl,sK0_skl,X2,X1,X0))|~sQ7_spl)),
% 0.21/10.68 inference(resolution,[status(thm)],[f144,f4])).
% 0.21/10.68 fof(f228,plain,(
% 0.21/10.68 ![X0,X1]: (~r1(sK0_skl,X0)|~r1(X0,X1)|~r1(X1,sK0_skl)|p101(sK10_skl(sK0_skl,sK0_skl,sK0_skl,X1,X0))|~sQ7_spl)),
% 0.21/10.68 inference(resolution,[status(thm)],[f227,f4])).
% 0.21/10.68 fof(f229,plain,(
% 0.21/10.68 ![X0]: (~r1(sK0_skl,X0)|~r1(X0,sK0_skl)|p101(sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,X0))|~sQ7_spl)),
% 0.21/10.68 inference(resolution,[status(thm)],[f228,f4])).
% 0.21/10.68 fof(f230,plain,(
% 0.21/10.68 ~r1(sK0_skl,sK0_skl)|p101(sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl))|~sQ7_spl),
% 0.21/10.68 inference(resolution,[status(thm)],[f229,f4])).
% 0.21/10.68 fof(f231,definition,(
% 0.21/10.68 sQ22_spl <=> (p101(sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl)))),
% 0.21/10.68 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.21/10.68 fof(f232,plain,(
% 0.21/10.68 p101(sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl))|~sQ22_spl),
% 0.21/10.68 inference(component_clause,[status(thm)],[f231])).
% 0.21/10.68 fof(f234,plain,(
% 0.21/10.68 ~sQ8_spl|sQ22_spl|~sQ7_spl),
% 0.21/10.68 inference(split_clause,[status(thm)],[f230,f148,f231,f143])).
% 0.21/10.68 fof(f237,plain,(
% 0.21/10.68 ![X0,X1,X2,X3]: (~r1(sK0_skl,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl))|r1(sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl),sK7_skl(sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl),X3,X2,X1,X0))|p102(sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl))|~sQ22_spl)),
% 0.21/10.68 inference(resolution,[status(thm)],[f232,f32])).
% 0.21/10.68 fof(f243,definition,(
% 0.21/10.68 sQ24_spl <=> (p102(sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl)))),
% 0.21/10.68 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.21/10.68 fof(f244,plain,(
% 0.21/10.68 p102(sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl))|~sQ24_spl),
% 0.21/10.68 inference(component_clause,[status(thm)],[f243])).
% 0.21/10.68 fof(f251,definition,(
% 0.21/10.68 ![X0,X1,X2,X3]: (sQ26_spl <=> (~r1(sK0_skl,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl))|r1(sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl),sK7_skl(sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl),X3,X2,X1,X0))))),
% 0.21/10.68 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.21/10.68 fof(f252,plain,(
% 0.21/10.68 ![X0,X1,X2,X3]: (~r1(sK0_skl,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,X3)|~r1(X3,sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl))|r1(sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl),sK7_skl(sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl),X3,X2,X1,X0))|~sQ26_spl)),
% 0.21/10.68 inference(component_clause,[status(thm)],[f251])).
% 0.21/10.68 fof(f254,plain,(
% 0.21/10.68 sQ26_spl|sQ24_spl|~sQ22_spl),
% 0.21/10.68 inference(split_clause,[status(thm)],[f237,f251,f243,f231])).
% 0.21/10.68 fof(f266,plain,(
% 0.21/10.68 ~r1(sK0_skl,sK0_skl)|~r1(sK0_skl,sK0_skl)|~r1(sK0_skl,sK0_skl)|~r1(sK0_skl,sK0_skl)|~r1(sK0_skl,sK0_skl)|p101(sK0_skl)|~p100(sK0_skl)|~sQ24_spl),
% 0.21/10.68 inference(resolution,[status(thm)],[f244,f46])).
% 0.21/10.68 fof(f273,plain,(
% 0.21/10.68 ~sQ8_spl|sQ1_spl|~sQ2_spl|~sQ24_spl),
% 0.21/10.68 inference(split_clause,[status(thm)],[f266,f148,f83,f86,f243])).
% 0.21/10.68 fof(f328,plain,(
% 0.21/10.68 ![X0,X1,X2]: (~r1(sK0_skl,X0)|~r1(X0,X1)|~r1(X1,X2)|r1(X2,sK10_skl(X2,X1,X0,sK0_skl,sK0_skl))|p101(X2)|~p100(X2))),
% 0.21/10.68 inference(resolution,[status(thm)],[f116,f4])).
% 0.21/10.68 fof(f330,plain,(
% 0.21/10.68 ![X0,X1]: (~r1(sK0_skl,X0)|~r1(X0,X1)|r1(X1,sK10_skl(X1,X0,sK0_skl,sK0_skl,sK0_skl))|p101(X1)|~p100(X1))),
% 0.21/10.68 inference(resolution,[status(thm)],[f328,f4])).
% 0.21/10.68 fof(f332,plain,(
% 0.21/10.68 ![X0]: (~r1(sK0_skl,X0)|r1(X0,sK10_skl(X0,sK0_skl,sK0_skl,sK0_skl,sK0_skl))|p101(X0)|~p100(X0))),
% 0.21/10.68 inference(resolution,[status(thm)],[f330,f4])).
% 0.21/10.68 fof(f334,plain,(
% 0.21/10.68 r1(sK0_skl,sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl))|p101(sK0_skl)|~p100(sK0_skl)),
% 0.21/10.68 inference(resolution,[status(thm)],[f332,f4])).
% 0.21/10.68 fof(f339,definition,(
% 0.21/10.68 sQ40_spl <=> (r1(sK0_skl,sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl)))),
% 0.21/10.68 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.21/10.68 fof(f340,plain,(
% 0.21/10.68 r1(sK0_skl,sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl))|~sQ40_spl),
% 0.21/10.68 inference(component_clause,[status(thm)],[f339])).
% 0.21/10.68 fof(f342,plain,(
% 0.21/10.68 sQ40_spl|sQ1_spl|~sQ2_spl),
% 0.21/10.68 inference(split_clause,[status(thm)],[f334,f339,f83,f86])).
% 0.21/10.68 fof(f369,plain,(
% 0.21/10.68 ![X0]: (~r1(sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl),X0)|p3(X0)|~sQ40_spl)),
% 0.21/10.68 inference(resolution,[status(thm)],[f340,f72])).
% 0.21/10.68 fof(f549,plain,(
% 0.21/10.68 ![X0,X1,X2]: (~r1(sK0_skl,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X2,sK0_skl)|r1(sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl),sK7_skl(sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl),sK0_skl,X2,X1,X0))|~sQ26_spl|~sQ40_spl)),
% 0.21/10.68 inference(resolution,[status(thm)],[f252,f340])).
% 0.21/10.68 fof(f585,definition,(
% 0.21/10.68 sQ82_spl <=> (p3(sK7_skl(sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl),sK0_skl,sK0_skl,sK0_skl,sK0_skl)))),
% 0.21/10.68 introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition])).
% 0.21/10.68 fof(f586,plain,(
% 0.21/10.68 p3(sK7_skl(sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl),sK0_skl,sK0_skl,sK0_skl,sK0_skl))|~sQ82_spl),
% 0.21/10.68 inference(component_clause,[status(thm)],[f585])).
% 0.21/10.68 fof(f749,plain,(
% 0.21/10.68 ~r1(sK0_skl,sK0_skl)|~r1(sK0_skl,sK0_skl)|~r1(sK0_skl,sK0_skl)|~r1(sK0_skl,sK0_skl)|~r1(sK0_skl,sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl))|p102(sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl))|~p101(sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl))|~sQ82_spl),
% 0.21/10.68 inference(resolution,[status(thm)],[f586,f33])).
% 0.21/10.68 fof(f750,plain,(
% 0.21/10.68 ~sQ8_spl|~sQ40_spl|sQ24_spl|~sQ22_spl|~sQ82_spl),
% 0.21/10.68 inference(split_clause,[status(thm)],[f749,f148,f339,f243,f231,f585])).
% 0.21/10.68 fof(f874,plain,(
% 0.21/10.68 ![X0,X1]: (~r1(sK0_skl,X0)|~r1(X0,X1)|~r1(X1,sK0_skl)|r1(sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl),sK7_skl(sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl),sK0_skl,sK0_skl,X1,X0))|~sQ26_spl|~sQ40_spl)),
% 0.21/10.68 inference(resolution,[status(thm)],[f549,f4])).
% 0.21/10.68 fof(f875,plain,(
% 0.21/10.68 ![X0]: (~r1(sK0_skl,X0)|~r1(X0,sK0_skl)|r1(sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl),sK7_skl(sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl),sK0_skl,sK0_skl,sK0_skl,X0))|~sQ26_spl|~sQ40_spl)),
% 0.21/10.68 inference(resolution,[status(thm)],[f874,f4])).
% 0.21/10.68 fof(f879,plain,(
% 0.21/10.68 ~r1(sK0_skl,sK0_skl)|r1(sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl),sK7_skl(sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl),sK0_skl,sK0_skl,sK0_skl,sK0_skl))|~sQ26_spl|~sQ40_spl),
% 0.21/10.68 inference(resolution,[status(thm)],[f875,f4])).
% 0.21/10.68 fof(f880,definition,(
% 0.21/10.68 sQ133_spl <=> (r1(sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl),sK7_skl(sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl),sK0_skl,sK0_skl,sK0_skl,sK0_skl)))),
% 0.21/10.68 introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition])).
% 0.21/10.68 fof(f881,plain,(
% 0.21/10.68 r1(sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl),sK7_skl(sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl),sK0_skl,sK0_skl,sK0_skl,sK0_skl))|~sQ133_spl),
% 0.21/10.68 inference(component_clause,[status(thm)],[f880])).
% 0.21/10.68 fof(f883,plain,(
% 0.21/10.68 ~sQ8_spl|sQ133_spl|~sQ26_spl|~sQ40_spl),
% 0.21/10.68 inference(split_clause,[status(thm)],[f879,f148,f880,f251,f339])).
% 0.21/10.68 fof(f900,plain,(
% 0.21/10.68 p3(sK7_skl(sK10_skl(sK0_skl,sK0_skl,sK0_skl,sK0_skl,sK0_skl),sK0_skl,sK0_skl,sK0_skl,sK0_skl))|~sQ133_spl|~sQ40_spl),
% 0.21/10.68 inference(resolution,[status(thm)],[f881,f369])).
% 0.21/10.68 fof(f930,plain,(
% 0.21/10.68 sQ82_spl|~sQ133_spl|~sQ40_spl),
% 0.21/10.68 inference(split_clause,[status(thm)],[f900,f585,f880,f339])).
% 0.21/10.68 fof(f935,plain,(
% 0.21/10.68 $false),
% 0.21/10.68 inference(sat_refutation,[status(thm)],[f91,f114,f146,f216,f234,f254,f273,f342,f750,f883,f930])).
% 0.21/10.68 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/10.69 % Elapsed time: 0.239005 seconds
% 0.21/10.69 % CPU time: 1.683899 seconds
% 0.21/10.69 % Total memory used: 40.722 MB
% 0.21/10.69 % Net memory used: 37.595 MB
%------------------------------------------------------------------------------