%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL674+1.005 : 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 : n002.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 01:10:49 PM UTC 2026
% Result : Theorem 0.09s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL674+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 00:55:47 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40 fof(f1,axiom,(
% 0.09/0.40 (! [X] : r1(X,X) )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f2,axiom,(
% 0.09/0.40 (! [X,Y,Z] :( ( r1(X,Y)& r1(Y,Z) )=> r1(X,Z) ) )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f3,conjecture,(
% 0.09/0.40 ~ (? [X] :~ ( ~ (! [Y] :( ~ r1(X,Y)| p3(Y) ))| ~ ( (! [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) ) ) )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f4,negated_conjecture,(
% 0.09/0.40 ~(~ (? [X] :~ ( ~ (! [Y] :( ~ r1(X,Y)| p3(Y) ))| ~ ( (! [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) ) ) ))),
% 0.09/0.40 inference(negated_conjecture,[status(cth)],[f3])).
% 0.09/0.40 fof(f5,plain,(
% 0.09/0.40 ![X0]: (r1(X0,X0))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.40 fof(f6,plain,(
% 0.09/0.40 ![X,Y,Z]: ((~r1(X,Y)|~r1(Y,Z))|r1(X,Z))),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.09/0.40 fof(f7,plain,(
% 0.09/0.40 ![X,Z]: ((![Y]: (~r1(X,Y)|~r1(Y,Z)))|r1(X,Z))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f6])).
% 0.09/0.40 fof(f8,plain,(
% 0.09/0.40 ![X0,X1,X2]: (~r1(X0,X1)|~r1(X1,X2)|r1(X0,X2))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.40 fof(f9,plain,(
% 0.09/0.40 ?[X]: ((![Y]: (~r1(X,Y)|p3(Y)))&(((![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)))),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.09/0.40 fof(f10,plain,(
% 0.09/0.40 ((![Y]: (~r1(sK0_skl,Y)|p3(Y)))&(((![Y]: (~r1(sK0_skl,Y)|(((((((((((((((((((r1(Y,sK1_skl(Y))&((~p6(sK1_skl(Y))&~p106(sK1_skl(Y)))&p105(sK1_skl(Y))))&(r1(Y,sK2_skl(Y))&((p6(sK2_skl(Y))&~p106(sK2_skl(Y)))&p105(sK2_skl(Y)))))|(p105(Y)|~p104(Y)))&(((r1(Y,sK3_skl(Y))&((~p5(sK3_skl(Y))&~p105(sK3_skl(Y)))&p104(sK3_skl(Y))))&(r1(Y,sK4_skl(Y))&((p5(sK4_skl(Y))&~p105(sK4_skl(Y)))&p104(sK4_skl(Y)))))|(p104(Y)|~p103(Y))))&(((r1(Y,sK5_skl(Y))&((~p4(sK5_skl(Y))&~p104(sK5_skl(Y)))&p103(sK5_skl(Y))))&(r1(Y,sK6_skl(Y))&((p4(sK6_skl(Y))&~p104(sK6_skl(Y)))&p103(sK6_skl(Y)))))|(p103(Y)|~p102(Y))))&(((r1(Y,sK7_skl(Y))&((~p3(sK7_skl(Y))&~p103(sK7_skl(Y)))&p102(sK7_skl(Y))))&(r1(Y,sK8_skl(Y))&((p3(sK8_skl(Y))&~p103(sK8_skl(Y)))&p102(sK8_skl(Y)))))|(p102(Y)|~p101(Y))))&(((r1(Y,sK9_skl(Y))&((~p2(sK9_skl(Y))&~p102(sK9_skl(Y)))&p101(sK9_skl(Y))))&(r1(Y,sK10_skl(Y))&((p2(sK10_skl(Y))&~p102(sK10_skl(Y)))&p101(sK10_skl(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)))),
% 0.09/0.40 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)),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))],[f9])).
% 0.09/0.40 fof(f11,plain,(
% 0.09/0.40 ![X0]: (~r1(sK0_skl,X0)|p3(X0))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.40 fof(f36,plain,(
% 0.09/0.40 ![X0]: (~r1(sK0_skl,X0)|r1(X0,sK7_skl(X0))|p102(X0)|~p101(X0))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.40 fof(f37,plain,(
% 0.09/0.40 ![X0]: (~r1(sK0_skl,X0)|~p3(sK7_skl(X0))|p102(X0)|~p101(X0))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.40 fof(f44,plain,(
% 0.09/0.40 ![X0]: (~r1(sK0_skl,X0)|r1(X0,sK9_skl(X0))|p101(X0)|~p100(X0))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.40 fof(f46,plain,(
% 0.09/0.40 ![X0]: (~r1(sK0_skl,X0)|~p102(sK9_skl(X0))|p101(X0)|~p100(X0))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.40 fof(f47,plain,(
% 0.09/0.40 ![X0]: (~r1(sK0_skl,X0)|p101(sK9_skl(X0))|p101(X0)|~p100(X0))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.40 fof(f70,plain,(
% 0.09/0.40 ~p101(sK0_skl)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.40 fof(f71,plain,(
% 0.09/0.40 p100(sK0_skl)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.40 fof(f75,plain,(
% 0.09/0.40 ![X0,X1]: (~r1(sK0_skl,X0)|~r1(X0,X1)|p3(X1))),
% 0.09/0.40 inference(resolution,[status(thm)],[f8,f11])).
% 0.09/0.40 fof(f79,plain,(
% 0.09/0.40 ~r1(sK0_skl,sK0_skl)|r1(sK0_skl,sK9_skl(sK0_skl))|p101(sK0_skl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f44,f71])).
% 0.09/0.40 fof(f80,definition,(
% 0.09/0.40 sQ0_spl <=> (r1(sK0_skl,sK0_skl))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f82,plain,(
% 0.09/0.40 ~r1(sK0_skl,sK0_skl)|sQ0_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f80])).
% 0.09/0.40 fof(f83,definition,(
% 0.09/0.40 sQ1_spl <=> (r1(sK0_skl,sK9_skl(sK0_skl)))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f84,plain,(
% 0.09/0.40 r1(sK0_skl,sK9_skl(sK0_skl))|~sQ1_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f83])).
% 0.09/0.40 fof(f86,definition,(
% 0.09/0.40 sQ2_spl <=> (p101(sK0_skl))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f87,plain,(
% 0.09/0.40 p101(sK0_skl)|~sQ2_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f86])).
% 0.09/0.40 fof(f89,plain,(
% 0.09/0.40 ~sQ0_spl|sQ1_spl|sQ2_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f79,f80,f83,f86])).
% 0.09/0.40 fof(f90,plain,(
% 0.09/0.40 $false|~sQ2_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f87,f70])).
% 0.09/0.40 fof(f91,plain,(
% 0.09/0.40 ~sQ2_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f90])).
% 0.09/0.40 fof(f92,plain,(
% 0.09/0.40 $false|sQ0_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f82,f5])).
% 0.09/0.40 fof(f93,plain,(
% 0.09/0.40 sQ0_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f92])).
% 0.09/0.40 fof(f94,plain,(
% 0.09/0.40 ![X0]: (~r1(sK9_skl(sK0_skl),X0)|p3(X0)|~sQ1_spl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f84,f75])).
% 0.09/0.40 fof(f99,plain,(
% 0.09/0.40 ~r1(sK0_skl,sK0_skl)|p101(sK9_skl(sK0_skl))|p101(sK0_skl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f47,f71])).
% 0.09/0.40 fof(f100,definition,(
% 0.09/0.40 sQ3_spl <=> (p101(sK9_skl(sK0_skl)))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f101,plain,(
% 0.09/0.40 p101(sK9_skl(sK0_skl))|~sQ3_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f100])).
% 0.09/0.40 fof(f103,plain,(
% 0.09/0.40 ~sQ0_spl|sQ3_spl|sQ2_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f99,f80,f100,f86])).
% 0.09/0.40 fof(f105,plain,(
% 0.09/0.40 ~r1(sK0_skl,sK9_skl(sK0_skl))|r1(sK9_skl(sK0_skl),sK7_skl(sK9_skl(sK0_skl)))|p102(sK9_skl(sK0_skl))|~sQ3_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f101,f36])).
% 0.09/0.40 fof(f112,definition,(
% 0.09/0.40 sQ5_spl <=> (p102(sK9_skl(sK0_skl)))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f113,plain,(
% 0.09/0.40 p102(sK9_skl(sK0_skl))|~sQ5_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f112])).
% 0.09/0.40 fof(f116,definition,(
% 0.09/0.40 sQ6_spl <=> (r1(sK9_skl(sK0_skl),sK7_skl(sK9_skl(sK0_skl))))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f117,plain,(
% 0.09/0.40 r1(sK9_skl(sK0_skl),sK7_skl(sK9_skl(sK0_skl)))|~sQ6_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f116])).
% 0.09/0.40 fof(f119,plain,(
% 0.09/0.40 ~sQ1_spl|sQ6_spl|sQ5_spl|~sQ3_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f105,f83,f116,f112,f100])).
% 0.09/0.40 fof(f132,plain,(
% 0.09/0.40 ~r1(sK0_skl,sK0_skl)|p101(sK0_skl)|~p100(sK0_skl)|~sQ5_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f113,f46])).
% 0.09/0.40 fof(f138,definition,(
% 0.09/0.40 sQ10_spl <=> (p100(sK0_skl))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f140,plain,(
% 0.09/0.40 ~p100(sK0_skl)|sQ10_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f138])).
% 0.09/0.40 fof(f141,plain,(
% 0.09/0.40 ~sQ0_spl|sQ2_spl|~sQ10_spl|~sQ5_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f132,f80,f86,f138,f112])).
% 0.09/0.40 fof(f162,plain,(
% 0.09/0.40 $false|sQ10_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f140,f71])).
% 0.09/0.40 fof(f163,plain,(
% 0.09/0.40 sQ10_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f162])).
% 0.09/0.40 fof(f257,plain,(
% 0.09/0.40 p3(sK7_skl(sK9_skl(sK0_skl)))|~sQ6_spl|~sQ1_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f117,f94])).
% 0.09/0.40 fof(f344,plain,(
% 0.09/0.40 ~r1(sK0_skl,sK9_skl(sK0_skl))|p102(sK9_skl(sK0_skl))|~p101(sK9_skl(sK0_skl))|~sQ6_spl|~sQ1_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f257,f37])).
% 0.09/0.40 fof(f345,plain,(
% 0.09/0.40 ~sQ1_spl|sQ5_spl|~sQ3_spl|~sQ6_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f344,f83,f112,f100,f116])).
% 0.09/0.40 fof(f346,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(sat_refutation,[status(thm)],[f89,f91,f93,f103,f119,f141,f163,f345])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.42 % Elapsed time: 0.048031 seconds
% 0.09/0.42 % CPU time: 0.140456 seconds
% 0.09/0.42 % Total memory used: 19.348 MB
% 0.09/0.42 % Net memory used: 19.218 MB
%------------------------------------------------------------------------------