%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEV515+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 02:33:41 PM UTC 2026
% Result : Theorem 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV515+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 07:24:27 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,conjecture,(
% 0.13/0.38 ( (! [A] :(? [B] :( ( g_true_only(B,A)& ( g_both(B,B)| g_true_only(B,B) ) )| ( g_both(B,A)& ( g_false_only(B,B)| g_true_only(B,B) ) )| ( g_false_only(B,A)& ( g_false_only(B,B)| g_both(B,B) ) ) )))| ( (? [A] :( (? [B] :( g_both(B,A)& g_both(B,B) ))& ~ (? [B] :( ( g_true_only(B,A)& ( g_both(B,B)| g_true_only(B,B) ) )| ( g_both(B,A)& ( g_false_only(B,B)| g_true_only(B,B) ) )| ( g_false_only(B,A)& ( g_false_only(B,B)| g_both(B,B) ) ) ) )))& ~ (? [A] :(! [B] :( ( g_true_only(B,A)& g_false_only(B,B) )| ( g_false_only(B,A)& g_true_only(B,B) ) ) ))) ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f2,negated_conjecture,(
% 0.13/0.38 ~(( (! [A] :(? [B] :( ( g_true_only(B,A)& ( g_both(B,B)| g_true_only(B,B) ) )| ( g_both(B,A)& ( g_false_only(B,B)| g_true_only(B,B) ) )| ( g_false_only(B,A)& ( g_false_only(B,B)| g_both(B,B) ) ) )))| ( (? [A] :( (? [B] :( g_both(B,A)& g_both(B,B) ))& ~ (? [B] :( ( g_true_only(B,A)& ( g_both(B,B)| g_true_only(B,B) ) )| ( g_both(B,A)& ( g_false_only(B,B)| g_true_only(B,B) ) )| ( g_false_only(B,A)& ( g_false_only(B,B)| g_both(B,B) ) ) ) )))& ~ (? [A] :(! [B] :( ( g_true_only(B,A)& g_false_only(B,B) )| ( g_false_only(B,A)& g_true_only(B,B) ) ) ))) ) )),
% 0.13/0.38 inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/0.38 fof(f3,axiom,(
% 0.13/0.38 (! [X_2,X_1] :( g_true_only(X_2,X_1)<=> ( g_true(X_2,X_1)& ~ g_false(X_2,X_1) ) ) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f4,axiom,(
% 0.13/0.38 (! [X_2,X_1] :( g_both(X_2,X_1)<=> ( g_true(X_2,X_1)& g_false(X_2,X_1) ) ) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f5,axiom,(
% 0.13/0.38 (! [X_2,X_1] :( g_false_only(X_2,X_1)<=> ( g_false(X_2,X_1)& ~ g_true(X_2,X_1) ) ) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f6,axiom,(
% 0.13/0.38 (! [X_2,X_1] :( g_true_only(X_2,X_1)| g_both(X_2,X_1)| g_false_only(X_2,X_1) ) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f7,plain,(
% 0.13/0.38 ((?[A]: ![B]: (((~g_true_only(B,A)|(~g_both(B,B)&~g_true_only(B,B)))&(~g_both(B,A)|(~g_false_only(B,B)&~g_true_only(B,B))))&(~g_false_only(B,A)|(~g_false_only(B,B)&~g_both(B,B)))))&((![A]: ((![B]: (~g_both(B,A)|~g_both(B,B)))|(?[B]: (((g_true_only(B,A)&(g_both(B,B)|g_true_only(B,B)))|(g_both(B,A)&(g_false_only(B,B)|g_true_only(B,B))))|(g_false_only(B,A)&(g_false_only(B,B)|g_both(B,B)))))))|(?[A]: ![B]: ((g_true_only(B,A)&g_false_only(B,B))|(g_false_only(B,A)&g_true_only(B,B))))))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.13/0.38 fof(f8,definition,(
% 0.13/0.38 ![A,B]: (sP0_prd(B,A)<=>(((g_true_only(B,A)&(g_both(B,B)|g_true_only(B,B)))|(g_both(B,A)&(g_false_only(B,B)|g_true_only(B,B))))|(g_false_only(B,A)&(g_false_only(B,B)|g_both(B,B)))))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.13/0.38 fof(f9,definition,(
% 0.13/0.38 ![A,B]: (sP1_prd(B,A)<=>(g_true_only(B,A)&g_false_only(B,B)))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 0.13/0.38 fof(f10,plain,(
% 0.13/0.38 (?[A]: ![B]: (((~g_true_only(B,A)|(~g_both(B,B)&~g_true_only(B,B)))&(~g_both(B,A)|(~g_false_only(B,B)&~g_true_only(B,B))))&(~g_false_only(B,A)|(~g_false_only(B,B)&~g_both(B,B)))))&((![A]: ((![B]: (~g_both(B,A)|~g_both(B,B)))|(?[B]: sP0_prd(B,A))))|(?[A]: ![B]: (sP1_prd(B,A)|(g_false_only(B,A)&g_true_only(B,B)))))),
% 0.13/0.38 inference(formula_renaming,[status(thm)],[f7,f9,f8])).
% 0.13/0.38 fof(f11,plain,(
% 0.13/0.38 (?[A]: (((![B]: (~g_true_only(B,A)|(~g_both(B,B)&~g_true_only(B,B))))&(![B]: (~g_both(B,A)|(~g_false_only(B,B)&~g_true_only(B,B)))))&(![B]: (~g_false_only(B,A)|(~g_false_only(B,B)&~g_both(B,B))))))&((![A]: ((![B]: (~g_both(B,A)|~g_both(B,B)))|(?[B]: sP0_prd(B,A))))|(?[A]: ![B]: (sP1_prd(B,A)|(g_false_only(B,A)&g_true_only(B,B)))))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f10])).
% 0.13/0.38 fof(f12,plain,(
% 0.13/0.38 (((![B]: (~g_true_only(B,sK0_skl)|(~g_both(B,B)&~g_true_only(B,B))))&(![B]: (~g_both(B,sK0_skl)|(~g_false_only(B,B)&~g_true_only(B,B)))))&(![B]: (~g_false_only(B,sK0_skl)|(~g_false_only(B,B)&~g_both(B,B)))))&((![A]: ((![B]: (~g_both(B,A)|~g_both(B,B)))|sP0_prd(sK1_skl(A),A)))|![B]: (sP1_prd(B,sK2_skl)|(g_false_only(B,sK2_skl)&g_true_only(B,B))))),
% 0.13/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl(A)),skolemize(A,sK2_skl)],[f11])).
% 0.13/0.38 fof(f13,plain,(
% 0.13/0.38 ![X0]: (~g_true_only(X0,sK0_skl)|~g_both(X0,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.38 fof(f14,plain,(
% 0.13/0.38 ![X0]: (~g_true_only(X0,sK0_skl)|~g_true_only(X0,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.38 fof(f15,plain,(
% 0.13/0.38 ![X0]: (~g_both(X0,sK0_skl)|~g_false_only(X0,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.38 fof(f16,plain,(
% 0.13/0.38 ![X0]: (~g_both(X0,sK0_skl)|~g_true_only(X0,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.38 fof(f17,plain,(
% 0.13/0.38 ![X0]: (~g_false_only(X0,sK0_skl)|~g_false_only(X0,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.38 fof(f18,plain,(
% 0.13/0.38 ![X0]: (~g_false_only(X0,sK0_skl)|~g_both(X0,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.38 fof(f20,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~g_both(X0,X1)|~g_both(X0,X0)|sP0_prd(sK1_skl(X1),X1)|sP1_prd(X2,sK2_skl)|g_true_only(X2,X2))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.38 fof(f21,plain,(
% 0.13/0.38 ![X_2,X_1]: ((~g_true_only(X_2,X_1)|(g_true(X_2,X_1)&~g_false(X_2,X_1)))&(g_true_only(X_2,X_1)|(~g_true(X_2,X_1)|g_false(X_2,X_1))))),
% 0.13/0.38 inference(NNF_transformation,[status(thm)],[f3])).
% 0.13/0.38 fof(f22,plain,(
% 0.13/0.38 (![X_2,X_1]: (~g_true_only(X_2,X_1)|(g_true(X_2,X_1)&~g_false(X_2,X_1))))&(![X_2,X_1]: (g_true_only(X_2,X_1)|(~g_true(X_2,X_1)|g_false(X_2,X_1))))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f21])).
% 0.13/0.38 fof(f23,plain,(
% 0.13/0.38 ![X0,X1]: (~g_true_only(X0,X1)|g_true(X0,X1))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.38 fof(f24,plain,(
% 0.13/0.38 ![X0,X1]: (~g_true_only(X0,X1)|~g_false(X0,X1))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.38 fof(f25,plain,(
% 0.13/0.38 ![X0,X1]: (g_true_only(X0,X1)|~g_true(X0,X1)|g_false(X0,X1))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.38 fof(f26,plain,(
% 0.13/0.38 ![X_2,X_1]: ((~g_both(X_2,X_1)|(g_true(X_2,X_1)&g_false(X_2,X_1)))&(g_both(X_2,X_1)|(~g_true(X_2,X_1)|~g_false(X_2,X_1))))),
% 0.13/0.38 inference(NNF_transformation,[status(thm)],[f4])).
% 0.13/0.38 fof(f27,plain,(
% 0.13/0.38 (![X_2,X_1]: (~g_both(X_2,X_1)|(g_true(X_2,X_1)&g_false(X_2,X_1))))&(![X_2,X_1]: (g_both(X_2,X_1)|(~g_true(X_2,X_1)|~g_false(X_2,X_1))))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f26])).
% 0.13/0.38 fof(f28,plain,(
% 0.13/0.38 ![X0,X1]: (~g_both(X0,X1)|g_true(X0,X1))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.38 fof(f30,plain,(
% 0.13/0.38 ![X0,X1]: (g_both(X0,X1)|~g_true(X0,X1)|~g_false(X0,X1))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.38 fof(f31,plain,(
% 0.13/0.38 ![X_2,X_1]: ((~g_false_only(X_2,X_1)|(g_false(X_2,X_1)&~g_true(X_2,X_1)))&(g_false_only(X_2,X_1)|(~g_false(X_2,X_1)|g_true(X_2,X_1))))),
% 0.13/0.38 inference(NNF_transformation,[status(thm)],[f5])).
% 0.13/0.38 fof(f32,plain,(
% 0.13/0.38 (![X_2,X_1]: (~g_false_only(X_2,X_1)|(g_false(X_2,X_1)&~g_true(X_2,X_1))))&(![X_2,X_1]: (g_false_only(X_2,X_1)|(~g_false(X_2,X_1)|g_true(X_2,X_1))))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f31])).
% 0.13/0.38 fof(f33,plain,(
% 0.13/0.38 ![X0,X1]: (~g_false_only(X0,X1)|g_false(X0,X1))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.38 fof(f34,plain,(
% 0.13/0.38 ![X0,X1]: (~g_false_only(X0,X1)|~g_true(X0,X1))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.38 fof(f36,plain,(
% 0.13/0.38 ![X0,X1]: (g_true_only(X0,X1)|g_both(X0,X1)|g_false_only(X0,X1))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.38 fof(f37,definition,(
% 0.13/0.38 ![A,B]: (sP2_prd(B,A)<=>((g_true_only(B,A)&(g_both(B,B)|g_true_only(B,B)))|(g_both(B,A)&(g_false_only(B,B)|g_true_only(B,B)))))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sP2_prd])],[])).
% 0.13/0.38 fof(f38,plain,(
% 0.13/0.38 ![A,B]: (sP0_prd(B,A)<=>(sP2_prd(B,A)|(g_false_only(B,A)&(g_false_only(B,B)|g_both(B,B)))))),
% 0.13/0.38 inference(formula_renaming,[status(thm)],[f8,f37])).
% 0.13/0.38 fof(f39,plain,(
% 0.13/0.38 ![A,B]: ((~sP0_prd(B,A)|(sP2_prd(B,A)|(g_false_only(B,A)&(g_false_only(B,B)|g_both(B,B)))))&(sP0_prd(B,A)|(~sP2_prd(B,A)&(~g_false_only(B,A)|(~g_false_only(B,B)&~g_both(B,B))))))),
% 0.13/0.38 inference(NNF_transformation,[status(thm)],[f38])).
% 0.13/0.38 fof(f40,plain,(
% 0.13/0.38 (![A,B]: (~sP0_prd(B,A)|(sP2_prd(B,A)|(g_false_only(B,A)&(g_false_only(B,B)|g_both(B,B))))))&(![A,B]: (sP0_prd(B,A)|(~sP2_prd(B,A)&(~g_false_only(B,A)|(~g_false_only(B,B)&~g_both(B,B))))))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f39])).
% 0.13/0.38 fof(f41,plain,(
% 0.13/0.38 ![X0,X1]: (~sP0_prd(X0,X1)|sP2_prd(X0,X1)|g_false_only(X0,X1))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f40])).
% 0.13/0.38 fof(f42,plain,(
% 0.13/0.38 ![X0,X1]: (~sP0_prd(X0,X1)|sP2_prd(X0,X1)|g_false_only(X0,X0)|g_both(X0,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f40])).
% 0.13/0.38 fof(f46,plain,(
% 0.13/0.38 ![A,B]: ((~sP1_prd(B,A)|(g_true_only(B,A)&g_false_only(B,B)))&(sP1_prd(B,A)|(~g_true_only(B,A)|~g_false_only(B,B))))),
% 0.13/0.38 inference(NNF_transformation,[status(thm)],[f9])).
% 0.13/0.38 fof(f47,plain,(
% 0.13/0.38 (![A,B]: (~sP1_prd(B,A)|(g_true_only(B,A)&g_false_only(B,B))))&(![A,B]: (sP1_prd(B,A)|(~g_true_only(B,A)|~g_false_only(B,B))))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f46])).
% 0.13/0.38 fof(f49,plain,(
% 0.13/0.38 ![X0,X1]: (~sP1_prd(X0,X1)|g_false_only(X0,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f47])).
% 0.13/0.38 fof(f51,plain,(
% 0.13/0.38 ![A,B]: ((~sP2_prd(B,A)|((g_true_only(B,A)&(g_both(B,B)|g_true_only(B,B)))|(g_both(B,A)&(g_false_only(B,B)|g_true_only(B,B)))))&(sP2_prd(B,A)|((~g_true_only(B,A)|(~g_both(B,B)&~g_true_only(B,B)))&(~g_both(B,A)|(~g_false_only(B,B)&~g_true_only(B,B))))))),
% 0.13/0.38 inference(NNF_transformation,[status(thm)],[f37])).
% 0.13/0.38 fof(f52,plain,(
% 0.13/0.38 (![A,B]: (~sP2_prd(B,A)|((g_true_only(B,A)&(g_both(B,B)|g_true_only(B,B)))|(g_both(B,A)&(g_false_only(B,B)|g_true_only(B,B))))))&(![A,B]: (sP2_prd(B,A)|((~g_true_only(B,A)|(~g_both(B,B)&~g_true_only(B,B)))&(~g_both(B,A)|(~g_false_only(B,B)&~g_true_only(B,B))))))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f51])).
% 0.13/0.38 fof(f53,plain,(
% 0.13/0.38 ![X0,X1]: (~sP2_prd(X0,X1)|g_true_only(X0,X1)|g_both(X0,X1))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f52])).
% 0.13/0.38 fof(f54,plain,(
% 0.13/0.38 ![X0,X1]: (~sP2_prd(X0,X1)|g_true_only(X0,X1)|g_false_only(X0,X0)|g_true_only(X0,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f52])).
% 0.13/0.38 fof(f55,plain,(
% 0.13/0.38 ![X0,X1]: (~sP2_prd(X0,X1)|g_both(X0,X0)|g_true_only(X0,X0)|g_both(X0,X1))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f52])).
% 0.13/0.38 fof(f57,plain,(
% 0.13/0.38 ![X0,X1]: (sP2_prd(X0,X1)|~g_true_only(X0,X1)|~g_both(X0,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f52])).
% 0.13/0.38 fof(f61,definition,(
% 0.13/0.38 ![X0,X1]: (sQ0_spl <=> (~g_both(X0,X1)|~g_both(X0,X0)|sP0_prd(sK1_skl(X1),X1)))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f62,plain,(
% 0.13/0.38 ![X0,X1]: (~g_both(X0,X1)|~g_both(X0,X0)|sP0_prd(sK1_skl(X1),X1)|~sQ0_spl)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f61])).
% 0.13/0.38 fof(f68,definition,(
% 0.13/0.38 ![X2]: (sQ2_spl <=> (sP1_prd(X2,sK2_skl)|g_true_only(X2,X2)))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f69,plain,(
% 0.13/0.38 ![X0]: (sP1_prd(X0,sK2_skl)|g_true_only(X0,X0)|~sQ2_spl)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f68])).
% 0.13/0.38 fof(f71,plain,(
% 0.13/0.38 sQ0_spl|sQ2_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f20,f61,f68])).
% 0.13/0.38 fof(f74,definition,(
% 0.13/0.38 sQ3_spl <=> (g_false_only(sK0_skl,sK0_skl))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f75,plain,(
% 0.13/0.38 g_false_only(sK0_skl,sK0_skl)|~sQ3_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f74])).
% 0.13/0.38 fof(f86,plain,(
% 0.13/0.38 ![X0,X1]: (g_true(X0,X1)|g_both(X0,X1)|g_false_only(X0,X1))),
% 0.13/0.38 inference(resolution,[status(thm)],[f23,f36])).
% 0.13/0.38 fof(f87,plain,(
% 0.13/0.38 ![X0,X1]: (g_true(X0,X1)|g_false_only(X0,X1))),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f86,f28])).
% 0.13/0.38 fof(f90,plain,(
% 0.13/0.38 ![X0]: (g_true(X0,sK0_skl)|~g_false_only(X0,X0))),
% 0.13/0.38 inference(resolution,[status(thm)],[f87,f17])).
% 0.13/0.38 fof(f91,plain,(
% 0.13/0.38 ![X0,X1]: (g_true(X0,X1)|g_false(X0,X1))),
% 0.13/0.38 inference(resolution,[status(thm)],[f87,f33])).
% 0.13/0.38 fof(f92,plain,(
% 0.13/0.38 ![X0,X1]: (g_true_only(X0,X1)|g_false(X0,X1))),
% 0.13/0.38 inference(backward_subsumption_resolution,[status(thm)],[f25,f91])).
% 0.13/0.38 fof(f97,plain,(
% 0.13/0.38 ![X0]: (g_true(X0,sK0_skl)|g_true(X0,X0))),
% 0.13/0.38 inference(resolution,[status(thm)],[f90,f87])).
% 0.13/0.38 fof(f102,plain,(
% 0.13/0.38 ![X0]: (g_false(X0,sK0_skl)|~g_true_only(X0,X0))),
% 0.13/0.38 inference(resolution,[status(thm)],[f92,f14])).
% 0.13/0.38 fof(f103,plain,(
% 0.13/0.38 ![X0]: (g_false(X0,sK0_skl)|~g_both(X0,X0))),
% 0.13/0.38 inference(resolution,[status(thm)],[f92,f13])).
% 0.13/0.38 fof(f106,plain,(
% 0.13/0.38 ~g_false_only(sK0_skl,sK0_skl)),
% 0.13/0.38 inference(resolution,[status(thm)],[f97,f34])).
% 0.13/0.38 fof(f109,plain,(
% 0.13/0.38 ![X0]: (g_false(X0,sK0_skl)|g_false(X0,X0))),
% 0.13/0.38 inference(resolution,[status(thm)],[f102,f92])).
% 0.13/0.38 fof(f110,plain,(
% 0.13/0.38 ![X0]: (g_false(X0,sK0_skl)|g_both(X0,X0)|g_false_only(X0,X0))),
% 0.13/0.38 inference(resolution,[status(thm)],[f102,f36])).
% 0.13/0.38 fof(f111,plain,(
% 0.13/0.38 ![X0]: (g_false(X0,sK0_skl)|g_false_only(X0,X0))),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f110,f103])).
% 0.13/0.38 fof(f133,definition,(
% 0.13/0.38 sQ8_spl <=> (g_true(sK0_skl,sK0_skl))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f135,plain,(
% 0.13/0.38 ~g_true(sK0_skl,sK0_skl)|sQ8_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f133])).
% 0.13/0.38 fof(f139,definition,(
% 0.13/0.38 sQ9_spl <=> (g_both(sK0_skl,sK0_skl))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f140,plain,(
% 0.13/0.38 g_both(sK0_skl,sK0_skl)|~sQ9_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f139])).
% 0.13/0.38 fof(f143,plain,(
% 0.13/0.38 ~g_true_only(sK0_skl,sK0_skl)|~sQ9_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f140,f16])).
% 0.13/0.38 fof(f155,plain,(
% 0.13/0.38 g_true(sK0_skl,sK0_skl)),
% 0.13/0.38 inference(resolution,[status(thm)],[f106,f87])).
% 0.13/0.38 fof(f156,plain,(
% 0.13/0.38 ![X0]: (~sP1_prd(sK0_skl,X0))),
% 0.13/0.38 inference(resolution,[status(thm)],[f106,f49])).
% 0.13/0.38 fof(f162,plain,(
% 0.13/0.38 g_both(sK0_skl,sK0_skl)|~g_true(sK0_skl,sK0_skl)),
% 0.13/0.38 inference(resolution,[status(thm)],[f109,f30])).
% 0.13/0.38 fof(f164,plain,(
% 0.13/0.38 ~g_true_only(sK0_skl,sK0_skl)),
% 0.13/0.38 inference(resolution,[status(thm)],[f109,f24])).
% 0.13/0.38 fof(f168,plain,(
% 0.13/0.38 sQ9_spl|~sQ8_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f162,f139,f133])).
% 0.13/0.38 fof(f177,plain,(
% 0.13/0.38 ![X0]: (sP2_prd(sK0_skl,X0)|~g_true_only(sK0_skl,X0)|~sQ9_spl)),
% 0.13/0.38 inference(resolution,[status(thm)],[f57,f140])).
% 0.13/0.38 fof(f194,plain,(
% 0.13/0.38 ![X0]: (sP2_prd(sK0_skl,X0)|g_false(sK0_skl,X0)|~sQ9_spl)),
% 0.13/0.38 inference(resolution,[status(thm)],[f177,f92])).
% 0.13/0.38 fof(f197,plain,(
% 0.13/0.38 ![X0]: (g_false(sK0_skl,X0)|g_true_only(sK0_skl,X0)|g_false_only(sK0_skl,sK0_skl)|g_true_only(sK0_skl,sK0_skl)|~sQ9_spl)),
% 0.13/0.38 inference(resolution,[status(thm)],[f194,f54])).
% 0.13/0.38 fof(f202,definition,(
% 0.13/0.38 sQ12_spl <=> (g_true_only(sK0_skl,sK0_skl))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f203,plain,(
% 0.13/0.38 g_true_only(sK0_skl,sK0_skl)|~sQ12_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f202])).
% 0.13/0.38 fof(f206,definition,(
% 0.13/0.38 ![X0]: (sQ13_spl <=> (g_false(sK0_skl,X0)|g_true_only(sK0_skl,X0)))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f209,plain,(
% 0.13/0.38 sQ13_spl|sQ3_spl|sQ12_spl|~sQ9_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f197,f206,f74,f202,f139])).
% 0.13/0.38 fof(f210,plain,(
% 0.13/0.38 $false|~sQ9_spl|~sQ12_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f203,f143])).
% 0.13/0.38 fof(f211,plain,(
% 0.13/0.38 ~sQ9_spl|~sQ12_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f210])).
% 0.13/0.38 fof(f212,plain,(
% 0.13/0.38 $false|sQ8_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f155,f135])).
% 0.13/0.38 fof(f213,plain,(
% 0.13/0.38 sQ8_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f212])).
% 0.13/0.38 fof(f232,definition,(
% 0.13/0.38 sQ14_spl <=> (sP2_prd(sK0_skl,sK0_skl))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f233,plain,(
% 0.13/0.38 sP2_prd(sK0_skl,sK0_skl)|~sQ14_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f232])).
% 0.13/0.38 fof(f237,plain,(
% 0.13/0.38 g_true_only(sK0_skl,sK0_skl)|g_false_only(sK0_skl,sK0_skl)|g_true_only(sK0_skl,sK0_skl)|~sQ14_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f233,f54])).
% 0.13/0.38 fof(f240,plain,(
% 0.13/0.38 sQ12_spl|sQ3_spl|~sQ14_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f237,f202,f74,f232])).
% 0.13/0.38 fof(f242,plain,(
% 0.13/0.38 $false|~sQ3_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f75,f106])).
% 0.13/0.38 fof(f243,plain,(
% 0.13/0.38 ~sQ3_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f242])).
% 0.13/0.38 fof(f262,plain,(
% 0.13/0.38 ![X0]: (~g_both(sK0_skl,X0)|sP0_prd(sK1_skl(X0),X0)|~sQ0_spl|~sQ9_spl)),
% 0.13/0.38 inference(resolution,[status(thm)],[f62,f140])).
% 0.13/0.38 fof(f265,plain,(
% 0.13/0.38 sP0_prd(sK1_skl(sK0_skl),sK0_skl)|~sQ0_spl|~sQ9_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f262,f140])).
% 0.13/0.38 fof(f266,plain,(
% 0.13/0.38 sP2_prd(sK1_skl(sK0_skl),sK0_skl)|g_false_only(sK1_skl(sK0_skl),sK1_skl(sK0_skl))|g_both(sK1_skl(sK0_skl),sK1_skl(sK0_skl))|~sQ0_spl|~sQ9_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f265,f42])).
% 0.13/0.38 fof(f267,plain,(
% 0.13/0.38 sP2_prd(sK1_skl(sK0_skl),sK0_skl)|g_false_only(sK1_skl(sK0_skl),sK0_skl)|~sQ0_spl|~sQ9_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f265,f41])).
% 0.13/0.38 fof(f268,definition,(
% 0.13/0.38 sQ15_spl <=> (sP2_prd(sK1_skl(sK0_skl),sK0_skl))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f269,plain,(
% 0.13/0.38 sP2_prd(sK1_skl(sK0_skl),sK0_skl)|~sQ15_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f268])).
% 0.13/0.38 fof(f271,definition,(
% 0.13/0.38 sQ16_spl <=> (g_false_only(sK1_skl(sK0_skl),sK1_skl(sK0_skl)))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f273,plain,(
% 0.13/0.38 ~g_false_only(sK1_skl(sK0_skl),sK1_skl(sK0_skl))|sQ16_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f271])).
% 0.13/0.38 fof(f274,definition,(
% 0.13/0.38 sQ17_spl <=> (g_both(sK1_skl(sK0_skl),sK1_skl(sK0_skl)))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f275,plain,(
% 0.13/0.38 g_both(sK1_skl(sK0_skl),sK1_skl(sK0_skl))|~sQ17_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f274])).
% 0.13/0.38 fof(f277,plain,(
% 0.13/0.38 sQ15_spl|sQ16_spl|sQ17_spl|~sQ0_spl|~sQ9_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f266,f268,f271,f274,f61,f139])).
% 0.13/0.38 fof(f278,definition,(
% 0.13/0.38 sQ18_spl <=> (g_false_only(sK1_skl(sK0_skl),sK0_skl))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f279,plain,(
% 0.13/0.38 g_false_only(sK1_skl(sK0_skl),sK0_skl)|~sQ18_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f278])).
% 0.13/0.38 fof(f281,plain,(
% 0.13/0.38 sQ15_spl|sQ18_spl|~sQ0_spl|~sQ9_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f267,f268,f278,f61,f139])).
% 0.13/0.38 fof(f294,plain,(
% 0.13/0.38 g_both(sK1_skl(sK0_skl),sK1_skl(sK0_skl))|g_true_only(sK1_skl(sK0_skl),sK1_skl(sK0_skl))|g_both(sK1_skl(sK0_skl),sK0_skl)|~sQ15_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f269,f55])).
% 0.13/0.38 fof(f295,plain,(
% 0.13/0.38 g_true_only(sK1_skl(sK0_skl),sK0_skl)|g_false_only(sK1_skl(sK0_skl),sK1_skl(sK0_skl))|g_true_only(sK1_skl(sK0_skl),sK1_skl(sK0_skl))|~sQ15_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f269,f54])).
% 0.13/0.38 fof(f296,plain,(
% 0.13/0.38 g_true_only(sK1_skl(sK0_skl),sK0_skl)|g_both(sK1_skl(sK0_skl),sK0_skl)|~sQ15_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f269,f53])).
% 0.13/0.38 fof(f297,definition,(
% 0.13/0.38 sQ20_spl <=> (g_true_only(sK1_skl(sK0_skl),sK1_skl(sK0_skl)))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f298,plain,(
% 0.13/0.38 g_true_only(sK1_skl(sK0_skl),sK1_skl(sK0_skl))|~sQ20_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f297])).
% 0.13/0.38 fof(f300,definition,(
% 0.13/0.38 sQ21_spl <=> (g_both(sK1_skl(sK0_skl),sK0_skl))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f301,plain,(
% 0.13/0.38 g_both(sK1_skl(sK0_skl),sK0_skl)|~sQ21_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f300])).
% 0.13/0.38 fof(f303,plain,(
% 0.13/0.38 sQ17_spl|sQ20_spl|sQ21_spl|~sQ15_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f294,f274,f297,f300,f268])).
% 0.13/0.38 fof(f304,definition,(
% 0.13/0.38 sQ22_spl <=> (g_true_only(sK1_skl(sK0_skl),sK0_skl))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f305,plain,(
% 0.13/0.38 g_true_only(sK1_skl(sK0_skl),sK0_skl)|~sQ22_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f304])).
% 0.13/0.38 fof(f307,plain,(
% 0.13/0.38 sQ22_spl|sQ16_spl|sQ20_spl|~sQ15_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f295,f304,f271,f297,f268])).
% 0.13/0.38 fof(f308,plain,(
% 0.13/0.38 sQ22_spl|sQ21_spl|~sQ15_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f296,f304,f300,f268])).
% 0.13/0.38 fof(f314,plain,(
% 0.13/0.38 ~g_true_only(sK1_skl(sK0_skl),sK1_skl(sK0_skl))|~sQ22_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f305,f14])).
% 0.13/0.38 fof(f315,plain,(
% 0.13/0.38 ~g_both(sK1_skl(sK0_skl),sK1_skl(sK0_skl))|~sQ22_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f305,f13])).
% 0.13/0.38 fof(f317,plain,(
% 0.13/0.38 ~g_true_only(sK1_skl(sK0_skl),sK1_skl(sK0_skl))|~sQ21_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f301,f16])).
% 0.13/0.38 fof(f318,plain,(
% 0.13/0.38 ~g_false_only(sK1_skl(sK0_skl),sK1_skl(sK0_skl))|~sQ21_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f301,f15])).
% 0.13/0.38 fof(f325,plain,(
% 0.13/0.38 $false|~sQ22_spl|~sQ17_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f275,f315])).
% 0.13/0.38 fof(f326,plain,(
% 0.13/0.38 ~sQ22_spl|~sQ17_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f325])).
% 0.13/0.38 fof(f327,plain,(
% 0.13/0.38 ~g_false_only(sK1_skl(sK0_skl),sK1_skl(sK0_skl))|~sQ18_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f279,f17])).
% 0.13/0.38 fof(f343,plain,(
% 0.13/0.38 ~sQ16_spl|~sQ21_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f318,f271,f300])).
% 0.13/0.38 fof(f344,plain,(
% 0.13/0.38 $false|~sQ21_spl|~sQ20_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f298,f317])).
% 0.13/0.38 fof(f345,plain,(
% 0.13/0.38 ~sQ21_spl|~sQ20_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f344])).
% 0.13/0.38 fof(f346,plain,(
% 0.13/0.38 ~sQ16_spl|~sQ18_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f327,f271,f278])).
% 0.13/0.38 fof(f347,plain,(
% 0.13/0.38 $false|~sQ22_spl|~sQ20_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f298,f314])).
% 0.13/0.38 fof(f348,plain,(
% 0.13/0.38 ~sQ22_spl|~sQ20_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f347])).
% 0.13/0.38 fof(f364,plain,(
% 0.13/0.38 g_false(sK1_skl(sK0_skl),sK0_skl)|sQ16_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f273,f111])).
% 0.13/0.38 fof(f376,plain,(
% 0.13/0.38 ~g_false_only(sK1_skl(sK0_skl),sK0_skl)|~sQ17_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f275,f18])).
% 0.13/0.38 fof(f382,plain,(
% 0.13/0.38 $false|~sQ18_spl|~sQ17_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f376,f279])).
% 0.13/0.38 fof(f383,plain,(
% 0.13/0.38 ~sQ18_spl|~sQ17_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f382])).
% 0.13/0.38 fof(f391,plain,(
% 0.13/0.38 sP1_prd(sK0_skl,sK2_skl)|~sQ2_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f69,f164])).
% 0.13/0.38 fof(f403,plain,(
% 0.13/0.38 $false|~sQ2_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f391,f156])).
% 0.13/0.38 fof(f404,plain,(
% 0.13/0.38 ~sQ2_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f403])).
% 0.13/0.38 fof(f415,plain,(
% 0.13/0.38 ~g_true_only(sK1_skl(sK0_skl),sK0_skl)|sQ16_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f364,f24])).
% 0.13/0.38 fof(f417,plain,(
% 0.13/0.38 ~sQ22_spl|sQ16_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f415,f304,f271])).
% 0.13/0.38 fof(f418,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(sat_refutation,[status(thm)],[f71,f168,f209,f211,f213,f240,f243,f277,f281,f303,f307,f308,f326,f343,f345,f346,f348,f383,f404,f417])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.032697 seconds
% 0.13/0.40 % CPU time: 0.075885 seconds
% 0.13/0.40 % Total memory used: 5.192 MB
% 0.13/0.40 % Net memory used: 5.124 MB
%------------------------------------------------------------------------------