%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL672+1.001 : 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 : n015.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 0.18s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL672+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n015.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 00:56:07 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.48 % Drodi V4.1.1
% 0.18/0.50 % Refutation found
% 0.18/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.50 fof(f1,axiom,(
% 0.18/0.50 (! [X] : r1(X,X) )),
% 0.18/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f2,axiom,(
% 0.18/0.50 (! [X,Y,Z] :( ( r1(X,Y)& r1(Y,Z) )=> r1(X,Z) ) )),
% 0.18/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f3,conjecture,(
% 0.18/0.50 ~ (? [X] :~ ( ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ p1(Y) ) )))& p1(Y) ) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) )))& ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| $false ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) )),
% 0.18/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f4,negated_conjecture,(
% 0.18/0.50 ~(~ (? [X] :~ ( ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ p1(Y) ) )))& p1(Y) ) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) )))& ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| $false ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))),
% 0.18/0.50 inference(negated_conjecture,[status(cth)],[f3])).
% 0.18/0.50 fof(f5,plain,(
% 0.18/0.50 ![X0]: (r1(X0,X0))),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f1])).
% 0.18/0.50 fof(f6,plain,(
% 0.18/0.50 ![X,Y,Z]: ((~r1(X,Y)|~r1(Y,Z))|r1(X,Z))),
% 0.18/0.50 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.18/0.50 fof(f7,plain,(
% 0.18/0.50 ![X,Z]: ((![Y]: (~r1(X,Y)|~r1(Y,Z)))|r1(X,Z))),
% 0.18/0.50 inference(miniscoping,[status(thm)],[f6])).
% 0.18/0.50 fof(f8,plain,(
% 0.18/0.50 ![X0,X1,X2]: (~r1(X0,X1)|~r1(X1,X2)|r1(X0,X2))),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f7])).
% 0.18/0.50 fof(f9,plain,(
% 0.18/0.50 ?[X]: (((((((((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&p1(Y)))))|~p1(Y)))))|(![Y]: (~r1(X,Y)|p1(Y))))&(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|((![Y]: (~r1(X,Y)|(?[X]: (r1(Y,X)&~p1(X)))))|(![Y]: (~r1(X,Y)|p1(Y)))))))))|(![Y]: (~r1(X,Y)|p1(Y)))))&(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&(![X]: (~r1(Y,X)|p1(X)))))))|(![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&~p1(Y)))))))))|(![Y]: (~r1(X,Y)|p1(Y)))))&(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(?[X]: (r1(Y,X)&$true)))))|(![Y]: (~r1(X,Y)|p1(Y)))))&(?[Y]: (r1(X,Y)&~p2(Y))))&(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&(![Y]: (~r1(X,Y)|p1(Y))))))&(?[X]: (r1(Y,X)&~p1(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))),
% 0.18/0.50 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.18/0.50 fof(f10,plain,(
% 0.18/0.50 ?[X]: (((((((((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&p1(Y)))))|~p1(Y)))))|(![Y]: (~r1(X,Y)|p1(Y))))&(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|((![Y]: (~r1(X,Y)|(?[X]: (r1(Y,X)&~p1(X)))))|(![Y]: (~r1(X,Y)|p1(Y)))))))))|(![Y]: (~r1(X,Y)|p1(Y)))))&(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&(![X]: (~r1(Y,X)|p1(X)))))))|(![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&~p1(Y)))))))))|(![Y]: (~r1(X,Y)|p1(Y)))))&(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|((?[X]: r1(Y,X))&$true))))|(![Y]: (~r1(X,Y)|p1(Y)))))&(?[Y]: (r1(X,Y)&~p2(Y))))&(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&(![Y]: (~r1(X,Y)|p1(Y))))))&(?[X]: (r1(Y,X)&~p1(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))),
% 0.18/0.50 inference(miniscoping,[status(thm)],[f9])).
% 0.18/0.50 fof(f11,plain,(
% 0.18/0.50 (((((((((![Y]: (~r1(sK0_skl,Y)|p2(Y)))|(![Y]: (~r1(sK0_skl,Y)|((![X]: (~r1(Y,X)|(r1(X,sK1_skl(X,Y))&p1(sK1_skl(X,Y)))))|~p1(Y)))))|(![Y]: (~r1(sK0_skl,Y)|p1(Y))))&(((![Y]: (~r1(sK0_skl,Y)|p2(Y)))|(![Y]: (~r1(sK0_skl,Y)|(![X]: (~r1(Y,X)|((![Y]: (~r1(X,Y)|(r1(Y,sK2_skl(Y,X,Y))&~p1(sK2_skl(Y,X,Y)))))|(![Y]: (~r1(X,Y)|p1(Y)))))))))|(![Y]: (~r1(sK0_skl,Y)|p1(Y)))))&(((![Y]: (~r1(sK0_skl,Y)|p2(Y)))|(![Y]: (~r1(sK0_skl,Y)|((![X]: (~r1(Y,X)|(r1(X,sK3_skl(X,Y))&(![X]: (~r1(sK3_skl(X,Y),X)|p1(X))))))|(![X]: (~r1(Y,X)|(r1(X,sK4_skl(X,Y))&~p1(sK4_skl(X,Y)))))))))|(![Y]: (~r1(sK0_skl,Y)|p1(Y)))))&(((![Y]: (~r1(sK0_skl,Y)|p2(Y)))|(![Y]: (~r1(sK0_skl,Y)|(r1(Y,sK5_skl(Y))&$true))))|(![Y]: (~r1(sK0_skl,Y)|p1(Y)))))&(r1(sK0_skl,sK6_skl)&~p2(sK6_skl)))&((r1(sK0_skl,sK7_skl)&(r1(sK7_skl,sK8_skl)&(![Y]: (~r1(sK8_skl,Y)|p1(Y)))))&(r1(sK7_skl,sK9_skl)&~p1(sK9_skl))))&(r1(sK0_skl,sK10_skl)&~p1(sK10_skl)))),
% 0.18/0.50 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(Y,sK1_skl(X,Y)),skolemize(X,sK2_skl(Y,X,Y)),skolemize(Y,sK3_skl(X,Y)),skolemize(Y,sK4_skl(X,Y)),skolemize(X,sK5_skl(Y)),skolemize(Y,sK6_skl),skolemize(Y,sK7_skl),skolemize(X,sK8_skl),skolemize(X,sK9_skl),skolemize(Y,sK10_skl)],[f10])).
% 0.18/0.50 fof(f12,plain,(
% 0.18/0.50 ?[X]: (((((((((![Y]: (~r1(sK0_skl,Y)|p2(Y)))|(![Y]: (~r1(sK0_skl,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,sK1_skl(X,Y))&p1(sK1_skl(X,Y))))))|~p1(Y)))))|(![Y]: (~r1(sK0_skl,Y)|p1(Y))))&(((![Y]: (~r1(sK0_skl,Y)|p2(Y)))|(![Y]: (~r1(sK0_skl,Y)|(![X]: (~r1(Y,X)|((![Y]: (~r1(X,Y)|(?[X]: (r1(Y,sK2_skl(Y,X,Y))&~p1(sK2_skl(Y,X,Y))))))|(![Y]: (~r1(X,Y)|p1(Y)))))))))|(![Y]: (~r1(sK0_skl,Y)|p1(Y)))))&(((![Y]: (~r1(sK0_skl,Y)|p2(Y)))|(![Y]: (~r1(sK0_skl,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,sK3_skl(X,Y))&(![X]: (~r1(sK3_skl(X,Y),X)|p1(X)))))))|(![X]: (~r1(Y,X)|(?[Y]: (r1(X,sK4_skl(X,Y))&~p1(sK4_skl(X,Y))))))))))|(![Y]: (~r1(sK0_skl,Y)|p1(Y)))))&(((![Y]: (~r1(sK0_skl,Y)|p2(Y)))|(![Y]: (~r1(sK0_skl,Y)|(?[X]: r1(Y,sK5_skl(Y))))))|(![Y]: (~r1(sK0_skl,Y)|p1(Y)))))&(?[Y]: (r1(sK0_skl,sK6_skl)&~p2(sK6_skl))))&(?[Y]: ((r1(sK0_skl,sK7_skl)&(?[X]: (r1(sK7_skl,sK8_skl)&(![Y]: (~r1(sK8_skl,Y)|p1(Y))))))&(?[X]: (r1(sK7_skl,sK9_skl)&~p1(sK9_skl))))))&(?[Y]: (r1(sK0_skl,sK10_skl)&~p1(sK10_skl))))),
% 0.18/0.50 inference(true_and_false_simplification,[status(thm)],[f11])).
% 0.18/0.50 fof(f15,plain,(
% 0.18/0.50 ![X0,X1,X2,X3,X4,X5]: (~r1(sK0_skl,X0)|p2(X0)|~r1(sK0_skl,X1)|~r1(X1,X2)|~r1(X2,X3)|r1(X3,sK2_skl(X3,X2,X1))|~r1(X2,X4)|p1(X4)|~r1(sK0_skl,X5)|p1(X5))),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f12])).
% 0.18/0.50 fof(f16,plain,(
% 0.18/0.50 ![X0,X1,X2,X3,X4,X5]: (~r1(sK0_skl,X0)|p2(X0)|~r1(sK0_skl,X1)|~r1(X1,X2)|~r1(X2,X3)|~p1(sK2_skl(X3,X2,X1))|~r1(X2,X4)|p1(X4)|~r1(sK0_skl,X5)|p1(X5))),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f12])).
% 0.18/0.50 fof(f22,plain,(
% 0.18/0.50 r1(sK0_skl,sK6_skl)),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f12])).
% 0.18/0.50 fof(f23,plain,(
% 0.18/0.50 ~p2(sK6_skl)),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f12])).
% 0.18/0.50 fof(f24,plain,(
% 0.18/0.50 r1(sK0_skl,sK7_skl)),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f12])).
% 0.18/0.50 fof(f25,plain,(
% 0.18/0.50 r1(sK7_skl,sK8_skl)),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f12])).
% 0.18/0.50 fof(f26,plain,(
% 0.18/0.50 ![X0]: (~r1(sK8_skl,X0)|p1(X0))),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f12])).
% 0.18/0.50 fof(f27,plain,(
% 0.18/0.50 r1(sK7_skl,sK9_skl)),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f12])).
% 0.18/0.50 fof(f28,plain,(
% 0.18/0.50 ~p1(sK9_skl)),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f12])).
% 0.18/0.50 fof(f29,plain,(
% 0.18/0.50 r1(sK0_skl,sK10_skl)),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f12])).
% 0.18/0.50 fof(f30,plain,(
% 0.18/0.50 ~p1(sK10_skl)),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f12])).
% 0.18/0.50 fof(f31,definition,(
% 0.18/0.50 ![X0]: (sQ0_spl <=> (~r1(sK0_skl,X0)|p2(X0)))),
% 0.18/0.50 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.18/0.50 fof(f32,plain,(
% 0.18/0.50 ![X0]: (~r1(sK0_skl,X0)|p2(X0)|~sQ0_spl)),
% 0.18/0.50 inference(component_clause,[status(thm)],[f31])).
% 0.18/0.50 fof(f37,definition,(
% 0.18/0.50 ![X3]: (sQ2_spl <=> (~r1(sK0_skl,X3)|p1(X3)))),
% 0.18/0.50 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.18/0.50 fof(f38,plain,(
% 0.18/0.50 ![X0]: (~r1(sK0_skl,X0)|p1(X0)|~sQ2_spl)),
% 0.18/0.50 inference(component_clause,[status(thm)],[f37])).
% 0.18/0.50 fof(f45,definition,(
% 0.18/0.50 ![X1,X2,X3,X4]: (sQ4_spl <=> (~r1(sK0_skl,X1)|~r1(X1,X2)|~r1(X2,X3)|r1(X3,sK2_skl(X3,X2,X1))|~r1(X2,X4)|p1(X4)))),
% 0.18/0.50 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.18/0.50 fof(f46,plain,(
% 0.18/0.50 ![X0,X1,X2,X3]: (~r1(sK0_skl,X0)|~r1(X0,X1)|~r1(X1,X2)|r1(X2,sK2_skl(X2,X1,X0))|~r1(X1,X3)|p1(X3)|~sQ4_spl)),
% 0.18/0.50 inference(component_clause,[status(thm)],[f45])).
% 0.18/0.50 fof(f48,plain,(
% 0.18/0.50 sQ0_spl|sQ4_spl|sQ2_spl),
% 0.18/0.50 inference(split_clause,[status(thm)],[f15,f31,f45,f37])).
% 0.18/0.50 fof(f49,definition,(
% 0.18/0.50 ![X1,X2,X3,X4]: (sQ5_spl <=> (~r1(sK0_skl,X1)|~r1(X1,X2)|~r1(X2,X3)|~p1(sK2_skl(X3,X2,X1))|~r1(X2,X4)|p1(X4)))),
% 0.18/0.50 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.18/0.50 fof(f50,plain,(
% 0.18/0.50 ![X0,X1,X2,X3]: (~r1(sK0_skl,X0)|~r1(X0,X1)|~r1(X1,X2)|~p1(sK2_skl(X2,X1,X0))|~r1(X1,X3)|p1(X3)|~sQ5_spl)),
% 0.18/0.50 inference(component_clause,[status(thm)],[f49])).
% 0.18/0.50 fof(f52,plain,(
% 0.18/0.50 sQ0_spl|sQ5_spl|sQ2_spl),
% 0.18/0.50 inference(split_clause,[status(thm)],[f16,f31,f49,f37])).
% 0.18/0.50 fof(f73,plain,(
% 0.18/0.50 p1(sK8_skl)),
% 0.18/0.50 inference(resolution,[status(thm)],[f26,f5])).
% 0.18/0.50 fof(f75,plain,(
% 0.18/0.50 p1(sK10_skl)|~sQ2_spl),
% 0.18/0.50 inference(resolution,[status(thm)],[f38,f29])).
% 0.18/0.50 fof(f80,plain,(
% 0.18/0.50 $false|~sQ2_spl),
% 0.18/0.50 inference(forward_subsumption_resolution,[status(thm)],[f75,f30])).
% 0.18/0.50 fof(f81,plain,(
% 0.18/0.50 ~sQ2_spl),
% 0.18/0.50 inference(contradiction_clause,[status(thm)],[f80])).
% 0.18/0.50 fof(f84,plain,(
% 0.18/0.50 p2(sK6_skl)|~sQ0_spl),
% 0.18/0.50 inference(resolution,[status(thm)],[f32,f22])).
% 0.18/0.50 fof(f87,plain,(
% 0.18/0.50 $false|~sQ0_spl),
% 0.18/0.50 inference(forward_subsumption_resolution,[status(thm)],[f84,f23])).
% 0.18/0.50 fof(f88,plain,(
% 0.18/0.50 ~sQ0_spl),
% 0.18/0.50 inference(contradiction_clause,[status(thm)],[f87])).
% 0.18/0.50 fof(f90,definition,(
% 0.18/0.50 sQ11_spl <=> (r1(sK0_skl,sK8_skl))),
% 0.18/0.50 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.18/0.50 fof(f91,plain,(
% 0.18/0.50 r1(sK0_skl,sK8_skl)|~sQ11_spl),
% 0.18/0.50 inference(component_clause,[status(thm)],[f90])).
% 0.18/0.50 fof(f92,plain,(
% 0.18/0.50 ~r1(sK0_skl,sK8_skl)|sQ11_spl),
% 0.18/0.50 inference(component_clause,[status(thm)],[f90])).
% 0.18/0.50 fof(f97,plain,(
% 0.18/0.50 ![X0]: (~r1(sK0_skl,X0)|~r1(X0,sK8_skl)|sQ11_spl)),
% 0.18/0.50 inference(resolution,[status(thm)],[f92,f8])).
% 0.18/0.50 fof(f98,plain,(
% 0.18/0.50 ~r1(sK0_skl,sK7_skl)|sQ11_spl),
% 0.18/0.50 inference(resolution,[status(thm)],[f97,f25])).
% 0.18/0.50 fof(f101,plain,(
% 0.18/0.50 $false|sQ11_spl),
% 0.18/0.50 inference(forward_subsumption_resolution,[status(thm)],[f98,f24])).
% 0.18/0.50 fof(f102,plain,(
% 0.18/0.50 sQ11_spl),
% 0.18/0.50 inference(contradiction_clause,[status(thm)],[f101])).
% 0.18/0.50 fof(f133,plain,(
% 0.18/0.50 ![X0,X1,X2]: (~r1(sK0_skl,X0)|~r1(X0,X1)|~r1(X1,sK8_skl)|~r1(X1,X2)|p1(X2)|p1(sK2_skl(sK8_skl,X1,X0))|~sQ4_spl)),
% 0.18/0.50 inference(resolution,[status(thm)],[f46,f26])).
% 0.18/0.50 fof(f245,definition,(
% 0.18/0.50 sQ42_spl <=> (r1(sK0_skl,sK0_skl))),
% 0.18/0.50 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.18/0.50 fof(f247,plain,(
% 0.18/0.50 ~r1(sK0_skl,sK0_skl)|sQ42_spl),
% 0.18/0.50 inference(component_clause,[status(thm)],[f245])).
% 0.18/0.50 fof(f256,plain,(
% 0.18/0.50 $false|sQ42_spl),
% 0.18/0.50 inference(forward_subsumption_resolution,[status(thm)],[f247,f5])).
% 0.18/0.50 fof(f257,plain,(
% 0.18/0.50 sQ42_spl),
% 0.18/0.50 inference(contradiction_clause,[status(thm)],[f256])).
% 0.18/0.50 fof(f308,definition,(
% 0.18/0.50 sQ52_spl <=> (p1(sK8_skl))),
% 0.18/0.50 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 0.18/0.50 fof(f310,plain,(
% 0.18/0.50 ~p1(sK8_skl)|sQ52_spl),
% 0.18/0.50 inference(component_clause,[status(thm)],[f308])).
% 0.18/0.50 fof(f315,plain,(
% 0.18/0.50 $false|sQ52_spl),
% 0.18/0.50 inference(forward_subsumption_resolution,[status(thm)],[f310,f73])).
% 0.18/0.50 fof(f316,plain,(
% 0.18/0.50 sQ52_spl),
% 0.18/0.50 inference(contradiction_clause,[status(thm)],[f315])).
% 0.18/0.50 fof(f361,plain,(
% 0.18/0.50 ![X0,X1,X2]: (~r1(sK0_skl,X0)|~r1(X0,X1)|~r1(X1,sK8_skl)|~r1(X1,X2)|p1(X2)|~sQ5_spl|~sQ4_spl)),
% 0.18/0.51 inference(forward_subsumption_resolution,[status(thm)],[f133,f50])).
% 0.18/0.51 fof(f363,plain,(
% 0.18/0.51 ![X0,X1]: (~r1(sK0_skl,X0)|~r1(X0,sK0_skl)|~r1(sK0_skl,X1)|p1(X1)|~sQ5_spl|~sQ4_spl|~sQ11_spl)),
% 0.18/0.51 inference(resolution,[status(thm)],[f361,f91])).
% 0.18/0.51 fof(f369,definition,(
% 0.18/0.51 ![X1]: (sQ65_spl <=> (~r1(sK7_skl,X1)|p1(X1)))),
% 0.18/0.51 introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 0.18/0.51 fof(f370,plain,(
% 0.18/0.51 ![X0]: (~r1(sK7_skl,X0)|p1(X0)|~sQ65_spl)),
% 0.18/0.51 inference(component_clause,[status(thm)],[f369])).
% 0.18/0.51 fof(f373,definition,(
% 0.18/0.51 ![X0]: (sQ66_spl <=> (~r1(sK0_skl,X0)|~r1(X0,sK0_skl)))),
% 0.18/0.51 introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition])).
% 0.18/0.51 fof(f374,plain,(
% 0.18/0.51 ![X0]: (~r1(sK0_skl,X0)|~r1(X0,sK0_skl)|~sQ66_spl)),
% 0.18/0.51 inference(component_clause,[status(thm)],[f373])).
% 0.18/0.51 fof(f376,plain,(
% 0.18/0.51 sQ66_spl|sQ2_spl|~sQ5_spl|~sQ4_spl|~sQ11_spl),
% 0.18/0.51 inference(split_clause,[status(thm)],[f363,f373,f37,f49,f45,f90])).
% 0.18/0.51 fof(f384,plain,(
% 0.18/0.51 p1(sK9_skl)|~sQ65_spl),
% 0.18/0.51 inference(resolution,[status(thm)],[f370,f27])).
% 0.18/0.51 fof(f392,plain,(
% 0.18/0.51 $false|~sQ65_spl),
% 0.18/0.51 inference(forward_subsumption_resolution,[status(thm)],[f384,f28])).
% 0.18/0.51 fof(f393,plain,(
% 0.18/0.51 ~sQ65_spl),
% 0.18/0.51 inference(contradiction_clause,[status(thm)],[f392])).
% 0.18/0.51 fof(f404,plain,(
% 0.18/0.51 ~r1(sK0_skl,sK0_skl)|~sQ66_spl),
% 0.18/0.51 inference(resolution,[status(thm)],[f374,f5])).
% 0.18/0.51 fof(f405,plain,(
% 0.18/0.51 ~sQ42_spl|~sQ66_spl),
% 0.18/0.51 inference(split_clause,[status(thm)],[f404,f245,f373])).
% 0.18/0.51 fof(f406,plain,(
% 0.18/0.51 $false),
% 0.18/0.51 inference(sat_refutation,[status(thm)],[f48,f52,f81,f88,f102,f257,f316,f376,f393,f405])).
% 0.18/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.54 % Elapsed time: 0.068746 seconds
% 0.18/0.54 % CPU time: 0.049388 seconds
% 0.18/0.54 % Total memory used: 720.656 KB
% 0.18/0.54 % Net memory used: 709.632 KB
%------------------------------------------------------------------------------