%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL674+1.010 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 01:10:50 PM UTC 2026
% Result : Theorem 1.33s 0.73s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL674+1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n019.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 00:53:34 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 1.33/0.73 % Refutation found
% 1.33/0.73 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.33/0.73 % SZS output start CNFRefutation for theBenchmark
% 1.33/0.73 fof(f1,axiom,(
% 1.33/0.73 (! [X] : r1(X,X) )),
% 1.33/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.33/0.73 fof(f2,axiom,(
% 1.33/0.73 (! [X,Y,Z] :( ( r1(X,Y)& r1(Y,Z) )=> r1(X,Z) ) )),
% 1.33/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.33/0.73 fof(f3,conjecture,(
% 1.33/0.73 ~ (? [X] :~ ( ~ (! [Y] :( ~ r1(X,Y)| p5(Y) ))| ~ ( (! [Y] :( ~ r1(X,Y)| ( ( ( ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ p11(X)& ~ p111(X)& p110(X) ) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( p11(X)& ~ p111(X)& p110(X) ) ) ))| ~ ( ~ p110(Y)& p109(Y) ) )& ( ( ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ p10(X)& ~ p110(X)& p109(X) ) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( p10(X)& ~ p110(X)& p109(X) ) ) ))| ~ ( ~ p109(Y)& p108(Y) ) )& ( ( ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ p9(X)& ~ p109(X)& p108(X) ) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( p9(X)& ~ p109(X)& p108(X) ) ) ))| ~ ( ~ p108(Y)& p107(Y) ) )& ( ( ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ p8(X)& ~ p108(X)& p107(X) ) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( p8(X)& ~ p108(X)& p107(X) ) ) ))| ~ ( ~ p107(Y)& p106(Y) ) )& ( ( ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ p7(X)& ~ p107(X)& p106(X) ) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( p7(X)& ~ p107(X)& p106(X) ) ) ))| ~ ( ~ p106(Y)& p105(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)| ~ p11(X)| ~ p110(X) ))| p11(Y) )& ( (! [X] :( ~ r1(Y,X)| p11(X)| ~ p110(X) ))| ~ p11(Y) ) )| ~ p110(Y) )& ( ( ( (! [X] :( ~ r1(Y,X)| ~ p10(X)| ~ p109(X) ))| p10(Y) )& ( (! [X] :( ~ r1(Y,X)| p10(X)| ~ p109(X) ))| ~ p10(Y) ) )| ~ p109(Y) )& ( ( ( (! [X] :( ~ r1(Y,X)| ~ p9(X)| ~ p108(X) ))| p9(Y) )& ( (! [X] :( ~ r1(Y,X)| p9(X)| ~ p108(X) ))| ~ p9(Y) ) )| ~ p108(Y) )& ( ( ( (! [X] :( ~ r1(Y,X)| ~ p8(X)| ~ p107(X) ))| p8(Y) )& ( (! [X] :( ~ r1(Y,X)| p8(X)| ~ p107(X) ))| ~ p8(Y) ) )| ~ p107(Y) )& ( ( ( (! [X] :( ~ r1(Y,X)| ~ p7(X)| ~ p106(X) ))| p7(Y) )& ( (! [X] :( ~ r1(Y,X)| p7(X)| ~ p106(X) ))| ~ p7(Y) ) )| ~ p106(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) )& ( p110(Y)| ~ p111(Y) )& ( p109(Y)| ~ p110(Y) )& ( p108(Y)| ~ p109(Y) )& ( p107(Y)| ~ p108(Y) )& ( p106(Y)| ~ p107(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) ) ) )),
% 1.33/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.33/0.73 fof(f4,negated_conjecture,(
% 1.33/0.73 ~(~ (? [X] :~ ( ~ (! [Y] :( ~ r1(X,Y)| p5(Y) ))| ~ ( (! [Y] :( ~ r1(X,Y)| ( ( ( ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ p11(X)& ~ p111(X)& p110(X) ) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( p11(X)& ~ p111(X)& p110(X) ) ) ))| ~ ( ~ p110(Y)& p109(Y) ) )& ( ( ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ p10(X)& ~ p110(X)& p109(X) ) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( p10(X)& ~ p110(X)& p109(X) ) ) ))| ~ ( ~ p109(Y)& p108(Y) ) )& ( ( ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ p9(X)& ~ p109(X)& p108(X) ) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( p9(X)& ~ p109(X)& p108(X) ) ) ))| ~ ( ~ p108(Y)& p107(Y) ) )& ( ( ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ p8(X)& ~ p108(X)& p107(X) ) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( p8(X)& ~ p108(X)& p107(X) ) ) ))| ~ ( ~ p107(Y)& p106(Y) ) )& ( ( ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ p7(X)& ~ p107(X)& p106(X) ) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( p7(X)& ~ p107(X)& p106(X) ) ) ))| ~ ( ~ p106(Y)& p105(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)| ~ p11(X)| ~ p110(X) ))| p11(Y) )& ( (! [X] :( ~ r1(Y,X)| p11(X)| ~ p110(X) ))| ~ p11(Y) ) )| ~ p110(Y) )& ( ( ( (! [X] :( ~ r1(Y,X)| ~ p10(X)| ~ p109(X) ))| p10(Y) )& ( (! [X] :( ~ r1(Y,X)| p10(X)| ~ p109(X) ))| ~ p10(Y) ) )| ~ p109(Y) )& ( ( ( (! [X] :( ~ r1(Y,X)| ~ p9(X)| ~ p108(X) ))| p9(Y) )& ( (! [X] :( ~ r1(Y,X)| p9(X)| ~ p108(X) ))| ~ p9(Y) ) )| ~ p108(Y) )& ( ( ( (! [X] :( ~ r1(Y,X)| ~ p8(X)| ~ p107(X) ))| p8(Y) )& ( (! [X] :( ~ r1(Y,X)| p8(X)| ~ p107(X) ))| ~ p8(Y) ) )| ~ p107(Y) )& ( ( ( (! [X] :( ~ r1(Y,X)| ~ p7(X)| ~ p106(X) ))| p7(Y) )& ( (! [X] :( ~ r1(Y,X)| p7(X)| ~ p106(X) ))| ~ p7(Y) ) )| ~ p106(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) )& ( p110(Y)| ~ p111(Y) )& ( p109(Y)| ~ p110(Y) )& ( p108(Y)| ~ p109(Y) )& ( p107(Y)| ~ p108(Y) )& ( p106(Y)| ~ p107(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) ) ) ))),
% 1.33/0.73 inference(negated_conjecture,[status(cth)],[f3])).
% 1.33/0.73 fof(f5,plain,(
% 1.33/0.73 ![X0]: (r1(X0,X0))),
% 1.33/0.73 inference(cnf_transformation,[status(thm)],[f1])).
% 1.33/0.73 fof(f6,plain,(
% 1.33/0.73 ![X,Y,Z]: ((~r1(X,Y)|~r1(Y,Z))|r1(X,Z))),
% 1.33/0.73 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 1.33/0.73 fof(f7,plain,(
% 1.33/0.73 ![X,Z]: ((![Y]: (~r1(X,Y)|~r1(Y,Z)))|r1(X,Z))),
% 1.33/0.73 inference(miniscoping,[status(thm)],[f6])).
% 1.33/0.73 fof(f8,plain,(
% 1.33/0.73 ![X0,X1,X2]: (~r1(X0,X1)|~r1(X1,X2)|r1(X0,X2))),
% 1.33/0.73 inference(cnf_transformation,[status(thm)],[f7])).
% 1.33/0.73 fof(f9,plain,(
% 1.33/0.73 ?[X]: ((![Y]: (~r1(X,Y)|p5(Y)))&(((![Y]: (~r1(X,Y)|((((((((((((((((((((((((((((((((((?[X]: (r1(Y,X)&((~p11(X)&~p111(X))&p110(X))))&(?[X]: (r1(Y,X)&((p11(X)&~p111(X))&p110(X)))))|(p110(Y)|~p109(Y)))&(((?[X]: (r1(Y,X)&((~p10(X)&~p110(X))&p109(X))))&(?[X]: (r1(Y,X)&((p10(X)&~p110(X))&p109(X)))))|(p109(Y)|~p108(Y))))&(((?[X]: (r1(Y,X)&((~p9(X)&~p109(X))&p108(X))))&(?[X]: (r1(Y,X)&((p9(X)&~p109(X))&p108(X)))))|(p108(Y)|~p107(Y))))&(((?[X]: (r1(Y,X)&((~p8(X)&~p108(X))&p107(X))))&(?[X]: (r1(Y,X)&((p8(X)&~p108(X))&p107(X)))))|(p107(Y)|~p106(Y))))&(((?[X]: (r1(Y,X)&((~p7(X)&~p107(X))&p106(X))))&(?[X]: (r1(Y,X)&((p7(X)&~p107(X))&p106(X)))))|(p106(Y)|~p105(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)|~p11(X))|~p110(X)))|p11(Y))&((![X]: ((~r1(Y,X)|p11(X))|~p110(X)))|~p11(Y)))|~p110(Y)))&((((![X]: ((~r1(Y,X)|~p10(X))|~p109(X)))|p10(Y))&((![X]: ((~r1(Y,X)|p10(X))|~p109(X)))|~p10(Y)))|~p109(Y)))&((((![X]: ((~r1(Y,X)|~p9(X))|~p108(X)))|p9(Y))&((![X]: ((~r1(Y,X)|p9(X))|~p108(X)))|~p9(Y)))|~p108(Y)))&((((![X]: ((~r1(Y,X)|~p8(X))|~p107(X)))|p8(Y))&((![X]: ((~r1(Y,X)|p8(X))|~p107(X)))|~p8(Y)))|~p107(Y)))&((((![X]: ((~r1(Y,X)|~p7(X))|~p106(X)))|p7(Y))&((![X]: ((~r1(Y,X)|p7(X))|~p106(X)))|~p7(Y)))|~p106(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)))&(p110(Y)|~p111(Y)))&(p109(Y)|~p110(Y)))&(p108(Y)|~p109(Y)))&(p107(Y)|~p108(Y)))&(p106(Y)|~p107(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)))),
% 1.33/0.73 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 1.33/0.73 fof(f10,plain,(
% 1.33/0.73 ((![Y]: (~r1(sK0_skl,Y)|p5(Y)))&(((![Y]: (~r1(sK0_skl,Y)|((((((((((((((((((((((((((((((((((r1(Y,sK1_skl(Y))&((~p11(sK1_skl(Y))&~p111(sK1_skl(Y)))&p110(sK1_skl(Y))))&(r1(Y,sK2_skl(Y))&((p11(sK2_skl(Y))&~p111(sK2_skl(Y)))&p110(sK2_skl(Y)))))|(p110(Y)|~p109(Y)))&(((r1(Y,sK3_skl(Y))&((~p10(sK3_skl(Y))&~p110(sK3_skl(Y)))&p109(sK3_skl(Y))))&(r1(Y,sK4_skl(Y))&((p10(sK4_skl(Y))&~p110(sK4_skl(Y)))&p109(sK4_skl(Y)))))|(p109(Y)|~p108(Y))))&(((r1(Y,sK5_skl(Y))&((~p9(sK5_skl(Y))&~p109(sK5_skl(Y)))&p108(sK5_skl(Y))))&(r1(Y,sK6_skl(Y))&((p9(sK6_skl(Y))&~p109(sK6_skl(Y)))&p108(sK6_skl(Y)))))|(p108(Y)|~p107(Y))))&(((r1(Y,sK7_skl(Y))&((~p8(sK7_skl(Y))&~p108(sK7_skl(Y)))&p107(sK7_skl(Y))))&(r1(Y,sK8_skl(Y))&((p8(sK8_skl(Y))&~p108(sK8_skl(Y)))&p107(sK8_skl(Y)))))|(p107(Y)|~p106(Y))))&(((r1(Y,sK9_skl(Y))&((~p7(sK9_skl(Y))&~p107(sK9_skl(Y)))&p106(sK9_skl(Y))))&(r1(Y,sK10_skl(Y))&((p7(sK10_skl(Y))&~p107(sK10_skl(Y)))&p106(sK10_skl(Y)))))|(p106(Y)|~p105(Y))))&(((r1(Y,sK11_skl(Y))&((~p6(sK11_skl(Y))&~p106(sK11_skl(Y)))&p105(sK11_skl(Y))))&(r1(Y,sK12_skl(Y))&((p6(sK12_skl(Y))&~p106(sK12_skl(Y)))&p105(sK12_skl(Y)))))|(p105(Y)|~p104(Y))))&(((r1(Y,sK13_skl(Y))&((~p5(sK13_skl(Y))&~p105(sK13_skl(Y)))&p104(sK13_skl(Y))))&(r1(Y,sK14_skl(Y))&((p5(sK14_skl(Y))&~p105(sK14_skl(Y)))&p104(sK14_skl(Y)))))|(p104(Y)|~p103(Y))))&(((r1(Y,sK15_skl(Y))&((~p4(sK15_skl(Y))&~p104(sK15_skl(Y)))&p103(sK15_skl(Y))))&(r1(Y,sK16_skl(Y))&((p4(sK16_skl(Y))&~p104(sK16_skl(Y)))&p103(sK16_skl(Y)))))|(p103(Y)|~p102(Y))))&(((r1(Y,sK17_skl(Y))&((~p3(sK17_skl(Y))&~p103(sK17_skl(Y)))&p102(sK17_skl(Y))))&(r1(Y,sK18_skl(Y))&((p3(sK18_skl(Y))&~p103(sK18_skl(Y)))&p102(sK18_skl(Y)))))|(p102(Y)|~p101(Y))))&(((r1(Y,sK19_skl(Y))&((~p2(sK19_skl(Y))&~p102(sK19_skl(Y)))&p101(sK19_skl(Y))))&(r1(Y,sK20_skl(Y))&((p2(sK20_skl(Y))&~p102(sK20_skl(Y)))&p101(sK20_skl(Y)))))|(p101(Y)|~p100(Y))))&((((![X]: ((~r1(Y,X)|~p11(X))|~p110(X)))|p11(Y))&((![X]: ((~r1(Y,X)|p11(X))|~p110(X)))|~p11(Y)))|~p110(Y)))&((((![X]: ((~r1(Y,X)|~p10(X))|~p109(X)))|p10(Y))&((![X]: ((~r1(Y,X)|p10(X))|~p109(X)))|~p10(Y)))|~p109(Y)))&((((![X]: ((~r1(Y,X)|~p9(X))|~p108(X)))|p9(Y))&((![X]: ((~r1(Y,X)|p9(X))|~p108(X)))|~p9(Y)))|~p108(Y)))&((((![X]: ((~r1(Y,X)|~p8(X))|~p107(X)))|p8(Y))&((![X]: ((~r1(Y,X)|p8(X))|~p107(X)))|~p8(Y)))|~p107(Y)))&((((![X]: ((~r1(Y,X)|~p7(X))|~p106(X)))|p7(Y))&((![X]: ((~r1(Y,X)|p7(X))|~p106(X)))|~p7(Y)))|~p106(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)))&(p110(Y)|~p111(Y)))&(p109(Y)|~p110(Y)))&(p108(Y)|~p109(Y)))&(p107(Y)|~p108(Y)))&(p106(Y)|~p107(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)))),
% 1.33/0.73 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,sK11_skl,sK12_skl,sK13_skl,sK14_skl,sK15_skl,sK16_skl,sK17_skl,sK18_skl,sK19_skl,sK20_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl(Y)),skolemize(X,sK2_skl(Y)),skolemize(X,sK3_skl(Y)),skolemize(X,sK4_skl(Y)),skolemize(X,sK5_skl(Y)),skolemize(X,sK6_skl(Y)),skolemize(X,sK7_skl(Y)),skolemize(X,sK8_skl(Y)),skolemize(X,sK9_skl(Y)),skolemize(X,sK10_skl(Y)),skolemize(X,sK11_skl(Y)),skolemize(X,sK12_skl(Y)),skolemize(X,sK13_skl(Y)),skolemize(X,sK14_skl(Y)),skolemize(X,sK15_skl(Y)),skolemize(X,sK16_skl(Y)),skolemize(X,sK17_skl(Y)),skolemize(X,sK18_skl(Y)),skolemize(X,sK19_skl(Y)),skolemize(X,sK20_skl(Y))],[f9])).
% 1.33/0.73 fof(f11,plain,(
% 1.33/0.73 ![X0]: (~r1(sK0_skl,X0)|p5(X0))),
% 1.33/0.73 inference(cnf_transformation,[status(thm)],[f10])).
% 1.33/0.73 fof(f60,plain,(
% 1.33/0.73 ![X0]: (~r1(sK0_skl,X0)|r1(X0,sK13_skl(X0))|p104(X0)|~p103(X0))),
% 1.33/0.73 inference(cnf_transformation,[status(thm)],[f10])).
% 1.33/0.73 fof(f61,plain,(
% 1.33/0.73 ![X0]: (~r1(sK0_skl,X0)|~p5(sK13_skl(X0))|p104(X0)|~p103(X0))),
% 1.33/0.73 inference(cnf_transformation,[status(thm)],[f10])).
% 1.33/0.73 fof(f72,plain,(
% 1.33/0.73 ![X0]: (~r1(sK0_skl,X0)|r1(X0,sK16_skl(X0))|p103(X0)|~p102(X0))),
% 1.33/0.73 inference(cnf_transformation,[status(thm)],[f10])).
% 1.33/0.73 fof(f74,plain,(
% 1.33/0.73 ![X0]: (~r1(sK0_skl,X0)|~p104(sK16_skl(X0))|p103(X0)|~p102(X0))),
% 1.33/0.73 inference(cnf_transformation,[status(thm)],[f10])).
% 1.33/0.73 fof(f75,plain,(
% 1.33/0.73 ![X0]: (~r1(sK0_skl,X0)|p103(sK16_skl(X0))|p103(X0)|~p102(X0))),
% 1.33/0.73 inference(cnf_transformation,[status(thm)],[f10])).
% 1.33/0.73 fof(f76,plain,(
% 1.33/0.73 ![X0]: (~r1(sK0_skl,X0)|r1(X0,sK17_skl(X0))|p102(X0)|~p101(X0))),
% 1.33/0.73 inference(cnf_transformation,[status(thm)],[f10])).
% 1.33/0.73 fof(f78,plain,(
% 1.33/0.73 ![X0]: (~r1(sK0_skl,X0)|~p103(sK17_skl(X0))|p102(X0)|~p101(X0))),
% 1.33/0.73 inference(cnf_transformation,[status(thm)],[f10])).
% 1.33/0.73 fof(f79,plain,(
% 1.33/0.73 ![X0]: (~r1(sK0_skl,X0)|p102(sK17_skl(X0))|p102(X0)|~p101(X0))),
% 1.33/0.73 inference(cnf_transformation,[status(thm)],[f10])).
% 1.33/0.73 fof(f84,plain,(
% 1.33/0.73 ![X0]: (~r1(sK0_skl,X0)|r1(X0,sK19_skl(X0))|p101(X0)|~p100(X0))),
% 1.33/0.73 inference(cnf_transformation,[status(thm)],[f10])).
% 1.33/0.73 fof(f86,plain,(
% 1.33/0.73 ![X0]: (~r1(sK0_skl,X0)|~p102(sK19_skl(X0))|p101(X0)|~p100(X0))),
% 1.33/0.73 inference(cnf_transformation,[status(thm)],[f10])).
% 1.33/0.73 fof(f87,plain,(
% 1.33/0.73 ![X0]: (~r1(sK0_skl,X0)|p101(sK19_skl(X0))|p101(X0)|~p100(X0))),
% 1.33/0.73 inference(cnf_transformation,[status(thm)],[f10])).
% 1.33/0.73 fof(f125,plain,(
% 1.33/0.73 ~p101(sK0_skl)),
% 1.33/0.73 inference(cnf_transformation,[status(thm)],[f10])).
% 1.33/0.73 fof(f126,plain,(
% 1.33/0.73 p100(sK0_skl)),
% 1.33/0.73 inference(cnf_transformation,[status(thm)],[f10])).
% 1.33/0.73 fof(f177,definition,(
% 1.33/0.73 sQ10_spl <=> (p101(sK0_skl))),
% 1.33/0.73 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 1.33/0.73 fof(f178,plain,(
% 1.33/0.73 p101(sK0_skl)|~sQ10_spl),
% 1.33/0.73 inference(component_clause,[status(thm)],[f177])).
% 1.33/0.73 fof(f182,definition,(
% 1.33/0.73 sQ11_spl <=> (p100(sK0_skl))),
% 1.33/0.73 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 1.33/0.73 fof(f184,plain,(
% 1.33/0.73 ~p100(sK0_skl)|sQ11_spl),
% 1.33/0.73 inference(component_clause,[status(thm)],[f182])).
% 1.33/0.73 fof(f277,plain,(
% 1.33/0.73 r1(sK0_skl,sK19_skl(sK0_skl))|p101(sK0_skl)|~p100(sK0_skl)),
% 1.33/0.73 inference(resolution,[status(thm)],[f84,f5])).
% 1.33/0.73 fof(f278,definition,(
% 1.33/0.73 sQ30_spl <=> (r1(sK0_skl,sK19_skl(sK0_skl)))),
% 1.33/0.73 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 1.33/0.73 fof(f279,plain,(
% 1.33/0.73 r1(sK0_skl,sK19_skl(sK0_skl))|~sQ30_spl),
% 1.33/0.73 inference(component_clause,[status(thm)],[f278])).
% 1.33/0.73 fof(f281,plain,(
% 1.33/0.73 sQ30_spl|sQ10_spl|~sQ11_spl),
% 1.33/0.73 inference(split_clause,[status(thm)],[f277,f278,f177,f182])).
% 1.33/0.73 fof(f422,plain,(
% 1.33/0.73 p101(sK19_skl(sK0_skl))|p101(sK0_skl)|~p100(sK0_skl)),
% 1.33/0.73 inference(resolution,[status(thm)],[f87,f5])).
% 1.33/0.73 fof(f423,definition,(
% 1.33/0.73 sQ59_spl <=> (p101(sK19_skl(sK0_skl)))),
% 1.33/0.73 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 1.33/0.73 fof(f426,plain,(
% 1.33/0.73 sQ59_spl|sQ10_spl|~sQ11_spl),
% 1.33/0.73 inference(split_clause,[status(thm)],[f422,f423,f177,f182])).
% 1.33/0.73 fof(f652,plain,(
% 1.33/0.73 $false|~sQ10_spl),
% 1.33/0.73 inference(forward_subsumption_resolution,[status(thm)],[f178,f125])).
% 1.33/0.73 fof(f653,plain,(
% 1.33/0.73 ~sQ10_spl),
% 1.33/0.73 inference(contradiction_clause,[status(thm)],[f652])).
% 1.33/0.73 fof(f654,plain,(
% 1.33/0.73 $false|sQ11_spl),
% 1.33/0.73 inference(forward_subsumption_resolution,[status(thm)],[f184,f126])).
% 1.33/0.73 fof(f655,plain,(
% 1.33/0.73 sQ11_spl),
% 1.33/0.73 inference(contradiction_clause,[status(thm)],[f654])).
% 1.33/0.73 fof(f698,plain,(
% 1.33/0.73 p102(sK17_skl(sK19_skl(sK0_skl)))|p102(sK19_skl(sK0_skl))|~p101(sK19_skl(sK0_skl))|~sQ30_spl),
% 1.33/0.73 inference(resolution,[status(thm)],[f279,f79])).
% 1.33/0.73 fof(f726,plain,(
% 1.33/0.73 r1(sK19_skl(sK0_skl),sK17_skl(sK19_skl(sK0_skl)))|p102(sK19_skl(sK0_skl))|~p101(sK19_skl(sK0_skl))|~sQ30_spl),
% 1.33/0.73 inference(resolution,[status(thm)],[f279,f76])).
% 1.33/0.73 fof(f776,definition,(
% 1.33/0.73 sQ99_spl <=> (p102(sK19_skl(sK0_skl)))),
% 1.33/0.73 introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition])).
% 1.33/0.73 fof(f777,plain,(
% 1.33/0.73 p102(sK19_skl(sK0_skl))|~sQ99_spl),
% 1.33/0.73 inference(component_clause,[status(thm)],[f776])).
% 1.33/0.73 fof(f917,definition,(
% 1.33/0.73 sQ138_spl <=> (p102(sK17_skl(sK19_skl(sK0_skl))))),
% 1.33/0.73 introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition])).
% 1.33/0.73 fof(f920,plain,(
% 1.33/0.73 sQ138_spl|sQ99_spl|~sQ59_spl|~sQ30_spl),
% 1.33/0.73 inference(split_clause,[status(thm)],[f698,f917,f776,f423,f278])).
% 1.33/0.73 fof(f1029,definition,(
% 1.33/0.73 sQ166_spl <=> (r1(sK19_skl(sK0_skl),sK17_skl(sK19_skl(sK0_skl))))),
% 1.33/0.73 introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition])).
% 1.33/0.73 fof(f1030,plain,(
% 1.33/0.73 r1(sK19_skl(sK0_skl),sK17_skl(sK19_skl(sK0_skl)))|~sQ166_spl),
% 1.33/0.73 inference(component_clause,[status(thm)],[f1029])).
% 1.33/0.73 fof(f1032,plain,(
% 1.33/0.73 sQ166_spl|sQ99_spl|~sQ59_spl|~sQ30_spl),
% 1.33/0.73 inference(split_clause,[status(thm)],[f726,f1029,f776,f423,f278])).
% 1.33/0.73 fof(f1623,plain,(
% 1.33/0.73 ~r1(sK0_skl,sK0_skl)|p101(sK0_skl)|~p100(sK0_skl)|~sQ99_spl),
% 1.33/0.73 inference(resolution,[status(thm)],[f777,f86])).
% 1.33/0.73 fof(f1624,definition,(
% 1.33/0.73 sQ279_spl <=> (r1(sK0_skl,sK0_skl))),
% 1.33/0.73 introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition])).
% 1.33/0.73 fof(f1626,plain,(
% 1.33/0.73 ~r1(sK0_skl,sK0_skl)|sQ279_spl),
% 1.33/0.73 inference(component_clause,[status(thm)],[f1624])).
% 1.33/0.73 fof(f1627,plain,(
% 1.33/0.73 ~sQ279_spl|sQ10_spl|~sQ11_spl|~sQ99_spl),
% 1.33/0.73 inference(split_clause,[status(thm)],[f1623,f1624,f177,f182,f776])).
% 1.33/0.73 fof(f1628,plain,(
% 1.33/0.73 $false|sQ279_spl),
% 1.33/0.73 inference(forward_subsumption_resolution,[status(thm)],[f1626,f5])).
% 1.33/0.73 fof(f1629,plain,(
% 1.33/0.73 sQ279_spl),
% 1.33/0.73 inference(contradiction_clause,[status(thm)],[f1628])).
% 1.33/0.73 fof(f1658,plain,(
% 1.33/0.73 ![X0]: (~r1(X0,sK19_skl(sK0_skl))|r1(X0,sK17_skl(sK19_skl(sK0_skl)))|~sQ166_spl)),
% 1.33/0.73 inference(resolution,[status(thm)],[f1030,f8])).
% 1.33/0.73 fof(f2169,plain,(
% 1.33/0.73 r1(sK0_skl,sK17_skl(sK19_skl(sK0_skl)))|~sQ166_spl|~sQ30_spl),
% 1.33/0.73 inference(resolution,[status(thm)],[f1658,f279])).
% 1.33/0.73 fof(f2204,plain,(
% 1.33/0.73 p103(sK16_skl(sK17_skl(sK19_skl(sK0_skl))))|p103(sK17_skl(sK19_skl(sK0_skl)))|~p102(sK17_skl(sK19_skl(sK0_skl)))|~sQ166_spl|~sQ30_spl),
% 1.33/0.73 inference(resolution,[status(thm)],[f2169,f75])).
% 1.33/0.73 fof(f2232,plain,(
% 1.33/0.73 r1(sK17_skl(sK19_skl(sK0_skl)),sK16_skl(sK17_skl(sK19_skl(sK0_skl))))|p103(sK17_skl(sK19_skl(sK0_skl)))|~p102(sK17_skl(sK19_skl(sK0_skl)))|~sQ166_spl|~sQ30_spl),
% 1.33/0.73 inference(resolution,[status(thm)],[f2169,f72])).
% 1.33/0.73 fof(f2272,definition,(
% 1.33/0.73 sQ385_spl <=> (p103(sK17_skl(sK19_skl(sK0_skl))))),
% 1.33/0.73 introduced(definition,[new_symbols(definition,[sQ385_spl])],[split_symbol_definition])).
% 1.33/0.73 fof(f2273,plain,(
% 1.33/0.73 p103(sK17_skl(sK19_skl(sK0_skl)))|~sQ385_spl),
% 1.33/0.73 inference(component_clause,[status(thm)],[f2272])).
% 1.33/0.73 fof(f2414,definition,(
% 1.33/0.73 sQ424_spl <=> (p103(sK16_skl(sK17_skl(sK19_skl(sK0_skl)))))),
% 1.33/0.73 introduced(definition,[new_symbols(definition,[sQ424_spl])],[split_symbol_definition])).
% 1.33/0.73 fof(f2417,plain,(
% 1.33/0.73 sQ424_spl|sQ385_spl|~sQ138_spl|~sQ166_spl|~sQ30_spl),
% 1.33/0.73 inference(split_clause,[status(thm)],[f2204,f2414,f2272,f917,f1029,f278])).
% 1.33/0.73 fof(f2526,definition,(
% 1.33/0.73 sQ452_spl <=> (r1(sK17_skl(sK19_skl(sK0_skl)),sK16_skl(sK17_skl(sK19_skl(sK0_skl)))))),
% 1.33/0.73 introduced(definition,[new_symbols(definition,[sQ452_spl])],[split_symbol_definition])).
% 1.33/0.73 fof(f2527,plain,(
% 1.33/0.73 r1(sK17_skl(sK19_skl(sK0_skl)),sK16_skl(sK17_skl(sK19_skl(sK0_skl))))|~sQ452_spl),
% 1.33/0.73 inference(component_clause,[status(thm)],[f2526])).
% 1.33/0.73 fof(f2529,plain,(
% 1.33/0.73 sQ452_spl|sQ385_spl|~sQ138_spl|~sQ166_spl|~sQ30_spl),
% 1.33/0.73 inference(split_clause,[status(thm)],[f2232,f2526,f2272,f917,f1029,f278])).
% 1.33/0.73 fof(f2646,plain,(
% 1.33/0.73 ~r1(sK0_skl,sK19_skl(sK0_skl))|p102(sK19_skl(sK0_skl))|~p101(sK19_skl(sK0_skl))|~sQ385_spl),
% 1.33/0.73 inference(resolution,[status(thm)],[f2273,f78])).
% 1.33/0.73 fof(f2647,plain,(
% 1.33/0.73 ~sQ30_spl|sQ99_spl|~sQ59_spl|~sQ385_spl),
% 1.33/0.73 inference(split_clause,[status(thm)],[f2646,f278,f776,f423,f2272])).
% 1.33/0.73 fof(f3668,plain,(
% 1.33/0.73 ![X0]: (~r1(X0,sK17_skl(sK19_skl(sK0_skl)))|r1(X0,sK16_skl(sK17_skl(sK19_skl(sK0_skl))))|~sQ452_spl)),
% 1.33/0.73 inference(resolution,[status(thm)],[f2527,f8])).
% 1.33/0.73 fof(f4270,plain,(
% 1.33/0.73 r1(sK0_skl,sK16_skl(sK17_skl(sK19_skl(sK0_skl))))|~sQ452_spl|~sQ166_spl|~sQ30_spl),
% 1.33/0.73 inference(resolution,[status(thm)],[f3668,f2169])).
% 1.33/0.73 fof(f4754,plain,(
% 1.33/0.73 r1(sK16_skl(sK17_skl(sK19_skl(sK0_skl))),sK13_skl(sK16_skl(sK17_skl(sK19_skl(sK0_skl)))))|p104(sK16_skl(sK17_skl(sK19_skl(sK0_skl))))|~p103(sK16_skl(sK17_skl(sK19_skl(sK0_skl))))|~sQ452_spl|~sQ166_spl|~sQ30_spl),
% 1.33/0.73 inference(resolution,[status(thm)],[f4270,f60])).
% 1.33/0.73 fof(f4882,definition,(
% 1.33/0.73 sQ887_spl <=> (p104(sK16_skl(sK17_skl(sK19_skl(sK0_skl)))))),
% 1.33/0.73 introduced(definition,[new_symbols(definition,[sQ887_spl])],[split_symbol_definition])).
% 1.33/0.73 fof(f4883,plain,(
% 1.33/0.73 p104(sK16_skl(sK17_skl(sK19_skl(sK0_skl))))|~sQ887_spl),
% 1.33/0.73 inference(component_clause,[status(thm)],[f4882])).
% 1.33/0.73 fof(f5048,definition,(
% 1.33/0.73 sQ929_spl <=> (r1(sK16_skl(sK17_skl(sK19_skl(sK0_skl))),sK13_skl(sK16_skl(sK17_skl(sK19_skl(sK0_skl))))))),
% 1.33/0.73 introduced(definition,[new_symbols(definition,[sQ929_spl])],[split_symbol_definition])).
% 1.33/0.73 fof(f5049,plain,(
% 1.33/0.73 r1(sK16_skl(sK17_skl(sK19_skl(sK0_skl))),sK13_skl(sK16_skl(sK17_skl(sK19_skl(sK0_skl)))))|~sQ929_spl),
% 1.33/0.73 inference(component_clause,[status(thm)],[f5048])).
% 1.33/0.73 fof(f5051,plain,(
% 1.33/0.73 sQ929_spl|sQ887_spl|~sQ424_spl|~sQ452_spl|~sQ166_spl|~sQ30_spl),
% 1.33/0.73 inference(split_clause,[status(thm)],[f4754,f5048,f4882,f2414,f2526,f1029,f278])).
% 1.33/0.73 fof(f7825,definition,(
% 1.33/0.73 sQ1414_spl <=> (r1(sK0_skl,sK17_skl(sK19_skl(sK0_skl))))),
% 1.33/0.73 introduced(definition,[new_symbols(definition,[sQ1414_spl])],[split_symbol_definition])).
% 1.33/0.73 fof(f7827,plain,(
% 1.33/0.73 ~r1(sK0_skl,sK17_skl(sK19_skl(sK0_skl)))|sQ1414_spl),
% 1.33/0.73 inference(component_clause,[status(thm)],[f7825])).
% 1.33/0.73 fof(f7969,plain,(
% 1.33/0.73 ![X0]: (~r1(X0,sK16_skl(sK17_skl(sK19_skl(sK0_skl))))|r1(X0,sK13_skl(sK16_skl(sK17_skl(sK19_skl(sK0_skl)))))|~sQ929_spl)),
% 1.33/0.73 inference(resolution,[status(thm)],[f5049,f8])).
% 1.33/0.73 fof(f9716,plain,(
% 1.33/0.73 r1(sK0_skl,sK13_skl(sK16_skl(sK17_skl(sK19_skl(sK0_skl)))))|~sQ929_spl|~sQ452_spl|~sQ166_spl|~sQ30_spl),
% 1.33/0.73 inference(resolution,[status(thm)],[f7969,f4270])).
% 1.33/0.73 fof(f10312,definition,(
% 1.33/0.73 sQ1781_spl <=> (r1(sK0_skl,sK16_skl(sK17_skl(sK19_skl(sK0_skl)))))),
% 1.33/0.73 introduced(definition,[new_symbols(definition,[sQ1781_spl])],[split_symbol_definition])).
% 1.33/0.73 fof(f10314,plain,(
% 1.33/0.73 ~r1(sK0_skl,sK16_skl(sK17_skl(sK19_skl(sK0_skl))))|sQ1781_spl),
% 1.33/0.73 inference(component_clause,[status(thm)],[f10312])).
% 1.33/0.73 fof(f10316,plain,(
% 1.33/0.73 $false|~sQ452_spl|~sQ166_spl|~sQ30_spl|sQ1781_spl),
% 1.33/0.73 inference(forward_subsumption_resolution,[status(thm)],[f10314,f4270])).
% 1.33/0.73 fof(f10317,plain,(
% 1.33/0.73 ~sQ452_spl|~sQ166_spl|~sQ30_spl|sQ1781_spl),
% 1.33/0.73 inference(contradiction_clause,[status(thm)],[f10316])).
% 1.33/0.73 fof(f10318,plain,(
% 1.33/0.73 ~r1(sK0_skl,sK17_skl(sK19_skl(sK0_skl)))|p103(sK17_skl(sK19_skl(sK0_skl)))|~p102(sK17_skl(sK19_skl(sK0_skl)))|~sQ887_spl),
% 1.33/0.73 inference(resolution,[status(thm)],[f4883,f74])).
% 1.33/0.73 fof(f10319,plain,(
% 1.33/0.73 ~sQ1414_spl|sQ385_spl|~sQ138_spl|~sQ887_spl),
% 1.33/0.73 inference(split_clause,[status(thm)],[f10318,f7825,f2272,f917,f4882])).
% 1.33/0.73 fof(f10320,plain,(
% 1.33/0.73 $false|~sQ166_spl|~sQ30_spl|sQ1414_spl),
% 1.33/0.73 inference(forward_subsumption_resolution,[status(thm)],[f7827,f2169])).
% 1.33/0.73 fof(f10321,plain,(
% 1.33/0.73 ~sQ166_spl|~sQ30_spl|sQ1414_spl),
% 1.33/0.73 inference(contradiction_clause,[status(thm)],[f10320])).
% 1.33/0.73 fof(f11513,plain,(
% 1.33/0.73 p5(sK13_skl(sK16_skl(sK17_skl(sK19_skl(sK0_skl)))))|~sQ929_spl|~sQ452_spl|~sQ166_spl|~sQ30_spl),
% 1.33/0.73 inference(resolution,[status(thm)],[f9716,f11])).
% 1.33/0.73 fof(f11852,plain,(
% 1.33/0.73 ~r1(sK0_skl,sK16_skl(sK17_skl(sK19_skl(sK0_skl))))|p104(sK16_skl(sK17_skl(sK19_skl(sK0_skl))))|~p103(sK16_skl(sK17_skl(sK19_skl(sK0_skl))))|~sQ929_spl|~sQ452_spl|~sQ166_spl|~sQ30_spl),
% 1.33/0.73 inference(resolution,[status(thm)],[f11513,f61])).
% 1.33/0.73 fof(f11853,plain,(
% 1.33/0.73 ~sQ1781_spl|sQ887_spl|~sQ424_spl|~sQ929_spl|~sQ452_spl|~sQ166_spl|~sQ30_spl),
% 1.33/0.73 inference(split_clause,[status(thm)],[f11852,f10312,f4882,f2414,f5048,f2526,f1029,f278])).
% 1.33/0.73 fof(f11854,plain,(
% 1.33/0.73 $false),
% 1.33/0.73 inference(sat_refutation,[status(thm)],[f281,f426,f653,f655,f920,f1032,f1627,f1629,f2417,f2529,f2647,f5051,f10317,f10319,f10321,f11853])).
% 1.33/0.73 % SZS output end CNFRefutation for theBenchmark.p
% 1.33/0.76 % Elapsed time: 0.378884 seconds
% 1.33/0.76 % CPU time: 2.741932 seconds
% 1.33/0.76 % Total memory used: 60.094 MB
% 1.33/0.76 % Net memory used: 57.895 MB
%------------------------------------------------------------------------------