%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYO607+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 03:44:39 PM UTC 2026
% Result : Theorem 0.14s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO607+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n015.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 12:06:06 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.14/0.36 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38 fof(f1,conjecture,(
% 0.14/0.38 ( (? [A] :( g_false_only(a,A)& (? [B] : g_false_only(A,B) )))| (? [A] :(! [B] : g_true_only(A,B)))| ( (? [A] :( ( g_both(a,A)| ( (? [B] : g_both(A,B))& ~ (? [B] : g_false_only(A,B) )) )& ~ g_true_only(a,A)& ~ (! [B] : g_true_only(A,B) )))& ~ (? [A] :( g_false_only(a,A)& (? [B] : g_false_only(A,B) )))& (? [A] :( (? [B] : g_both(A,B))& ~ (? [B] : g_false_only(A,B) )))& ~ (? [A] :(! [B] : g_true_only(A,B) ))) ) ),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f2,negated_conjecture,(
% 0.14/0.38 ~(( (? [A] :( g_false_only(a,A)& (? [B] : g_false_only(A,B) )))| (? [A] :(! [B] : g_true_only(A,B)))| ( (? [A] :( ( g_both(a,A)| ( (? [B] : g_both(A,B))& ~ (? [B] : g_false_only(A,B) )) )& ~ g_true_only(a,A)& ~ (! [B] : g_true_only(A,B) )))& ~ (? [A] :( g_false_only(a,A)& (? [B] : g_false_only(A,B) )))& (? [A] :( (? [B] : g_both(A,B))& ~ (? [B] : g_false_only(A,B) )))& ~ (? [A] :(! [B] : g_true_only(A,B) ))) ) )),
% 0.14/0.38 inference(negated_conjecture,[status(cth)],[f1])).
% 0.14/0.38 fof(f3,axiom,(
% 0.14/0.38 (! [X_2,X_1] :( g_true_only(X_2,X_1)<=> ( g_true(X_2,X_1)& ~ g_false(X_2,X_1) ) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f4,axiom,(
% 0.14/0.38 (! [X_2,X_1] :( g_both(X_2,X_1)<=> ( g_true(X_2,X_1)& g_false(X_2,X_1) ) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f5,axiom,(
% 0.14/0.38 (! [X_2,X_1] :( g_false_only(X_2,X_1)<=> ( g_false(X_2,X_1)& ~ g_true(X_2,X_1) ) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f6,axiom,(
% 0.14/0.38 (! [X_2,X_1] :( g_true_only(X_2,X_1)| g_both(X_2,X_1)| g_false_only(X_2,X_1) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f7,plain,(
% 0.14/0.38 (((![A]: (~g_false_only(a,A)|(![B]: ~g_false_only(A,B))))&(![A]: ?[B]: ~g_true_only(A,B)))&((((![A]: (((~g_both(a,A)&((![B]: ~g_both(A,B))|(?[B]: g_false_only(A,B))))|g_true_only(a,A))|(![B]: g_true_only(A,B))))|(?[A]: (g_false_only(a,A)&(?[B]: g_false_only(A,B)))))|(![A]: ((![B]: ~g_both(A,B))|(?[B]: g_false_only(A,B)))))|(?[A]: ![B]: g_true_only(A,B))))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.14/0.38 fof(f8,definition,(
% 0.14/0.38 ![A]: (sP0_prd(A)<=>(((~g_both(a,A)&((![B]: ~g_both(A,B))|(?[B]: g_false_only(A,B))))|g_true_only(a,A))|(![B]: g_true_only(A,B))))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.14/0.38 fof(f9,plain,(
% 0.14/0.38 ((![A]: (~g_false_only(a,A)|(![B]: ~g_false_only(A,B))))&(![A]: ?[B]: ~g_true_only(A,B)))&((((![A]: sP0_prd(A))|(?[A]: (g_false_only(a,A)&(?[B]: g_false_only(A,B)))))|(![A]: ((![B]: ~g_both(A,B))|(?[B]: g_false_only(A,B)))))|(?[A]: ![B]: g_true_only(A,B)))),
% 0.14/0.38 inference(formula_renaming,[status(thm)],[f7,f8])).
% 0.14/0.38 fof(f10,plain,(
% 0.14/0.38 ((![A]: (~g_false_only(a,A)|(![B]: ~g_false_only(A,B))))&(![A]: ~g_true_only(A,sK0_skl(A))))&((((![A]: sP0_prd(A))|(g_false_only(a,sK1_skl)&g_false_only(sK1_skl,sK2_skl)))|(![A]: ((![B]: ~g_both(A,B))|g_false_only(A,sK3_skl(A)))))|![B]: g_true_only(sK4_skl,B))),
% 0.14/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl]),skolemize(B,sK0_skl(A)),skolemize(A,sK1_skl),skolemize(B,sK2_skl),skolemize(B,sK3_skl(A)),skolemize(A,sK4_skl)],[f9])).
% 0.14/0.38 fof(f11,plain,(
% 0.14/0.38 ![X0,X1]: (~g_false_only(a,X0)|~g_false_only(X0,X1))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.38 fof(f12,plain,(
% 0.14/0.38 ![X0]: (~g_true_only(X0,sK0_skl(X0)))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.38 fof(f13,plain,(
% 0.14/0.38 ![X0,X1,X2,X3]: (sP0_prd(X0)|g_false_only(a,sK1_skl)|~g_both(X1,X2)|g_false_only(X1,sK3_skl(X1))|g_true_only(sK4_skl,X3))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.38 fof(f14,plain,(
% 0.14/0.38 ![X0,X1,X2,X3]: (sP0_prd(X0)|g_false_only(sK1_skl,sK2_skl)|~g_both(X1,X2)|g_false_only(X1,sK3_skl(X1))|g_true_only(sK4_skl,X3))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.38 fof(f15,plain,(
% 0.14/0.38 ![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))))),
% 0.14/0.38 inference(NNF_transformation,[status(thm)],[f3])).
% 0.14/0.38 fof(f16,plain,(
% 0.14/0.38 (![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))))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f15])).
% 0.14/0.38 fof(f17,plain,(
% 0.14/0.38 ![X0,X1]: (~g_true_only(X0,X1)|g_true(X0,X1))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.38 fof(f20,plain,(
% 0.14/0.38 ![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))))),
% 0.14/0.38 inference(NNF_transformation,[status(thm)],[f4])).
% 0.14/0.38 fof(f21,plain,(
% 0.14/0.38 (![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))))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f20])).
% 0.14/0.38 fof(f23,plain,(
% 0.14/0.38 ![X0,X1]: (~g_both(X0,X1)|g_false(X0,X1))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.38 fof(f25,plain,(
% 0.14/0.38 ![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))))),
% 0.14/0.38 inference(NNF_transformation,[status(thm)],[f5])).
% 0.14/0.38 fof(f26,plain,(
% 0.14/0.38 (![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))))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f25])).
% 0.14/0.38 fof(f27,plain,(
% 0.14/0.38 ![X0,X1]: (~g_false_only(X0,X1)|g_false(X0,X1))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/0.38 fof(f28,plain,(
% 0.14/0.38 ![X0,X1]: (~g_false_only(X0,X1)|~g_true(X0,X1))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/0.38 fof(f29,plain,(
% 0.14/0.38 ![X0,X1]: (g_false_only(X0,X1)|~g_false(X0,X1)|g_true(X0,X1))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/0.38 fof(f30,plain,(
% 0.14/0.38 ![X0,X1]: (g_true_only(X0,X1)|g_both(X0,X1)|g_false_only(X0,X1))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.38 fof(f31,plain,(
% 0.14/0.38 ![A]: ((~sP0_prd(A)|(((~g_both(a,A)&((![B]: ~g_both(A,B))|(?[B]: g_false_only(A,B))))|g_true_only(a,A))|(![B]: g_true_only(A,B))))&(sP0_prd(A)|(((g_both(a,A)|((?[B]: g_both(A,B))&(![B]: ~g_false_only(A,B))))&~g_true_only(a,A))&(?[B]: ~g_true_only(A,B)))))),
% 0.14/0.38 inference(NNF_transformation,[status(thm)],[f8])).
% 0.14/0.38 fof(f32,plain,(
% 0.14/0.38 (![A]: (~sP0_prd(A)|(((~g_both(a,A)&((![B]: ~g_both(A,B))|(?[B]: g_false_only(A,B))))|g_true_only(a,A))|(![B]: g_true_only(A,B)))))&(![A]: (sP0_prd(A)|(((g_both(a,A)|((?[B]: g_both(A,B))&(![B]: ~g_false_only(A,B))))&~g_true_only(a,A))&(?[B]: ~g_true_only(A,B)))))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f31])).
% 0.14/0.38 fof(f33,plain,(
% 0.14/0.38 (![A]: (~sP0_prd(A)|(((~g_both(a,A)&((![B]: ~g_both(A,B))|g_false_only(A,sK5_skl(A))))|g_true_only(a,A))|(![B]: g_true_only(A,B)))))&(![A]: (sP0_prd(A)|(((g_both(a,A)|(g_both(A,sK6_skl(A))&(![B]: ~g_false_only(A,B))))&~g_true_only(a,A))&~g_true_only(A,sK7_skl(A)))))),
% 0.14/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl,sK6_skl,sK7_skl]),skolemize(B,sK5_skl(A)),skolemize(B,sK6_skl(A)),skolemize(B,sK7_skl(A))],[f32])).
% 0.14/0.38 fof(f34,plain,(
% 0.14/0.38 ![X0,X1]: (~sP0_prd(X0)|~g_both(a,X0)|g_true_only(a,X0)|g_true_only(X0,X1))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f33])).
% 0.14/0.38 fof(f35,plain,(
% 0.14/0.38 ![X0,X1,X2]: (~sP0_prd(X0)|~g_both(X0,X1)|g_false_only(X0,sK5_skl(X0))|g_true_only(a,X0)|g_true_only(X0,X2))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f33])).
% 0.14/0.38 fof(f36,plain,(
% 0.14/0.38 ![X0]: (sP0_prd(X0)|g_both(a,X0)|g_both(X0,sK6_skl(X0)))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f33])).
% 0.14/0.38 fof(f37,plain,(
% 0.14/0.38 ![X0,X1]: (sP0_prd(X0)|g_both(a,X0)|~g_false_only(X0,X1))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f33])).
% 0.14/0.38 fof(f40,definition,(
% 0.14/0.38 ![X0]: (sQ0_spl <=> (sP0_prd(X0)))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f41,plain,(
% 0.14/0.38 ![X0]: (sP0_prd(X0)|~sQ0_spl)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f40])).
% 0.14/0.38 fof(f43,definition,(
% 0.14/0.38 sQ1_spl <=> (g_false_only(a,sK1_skl))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f44,plain,(
% 0.14/0.38 g_false_only(a,sK1_skl)|~sQ1_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f43])).
% 0.14/0.38 fof(f46,definition,(
% 0.14/0.38 ![X1,X2]: (sQ2_spl <=> (~g_both(X1,X2)|g_false_only(X1,sK3_skl(X1))))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f47,plain,(
% 0.14/0.39 ![X0,X1]: (~g_both(X0,X1)|g_false_only(X0,sK3_skl(X0))|~sQ2_spl)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f46])).
% 0.14/0.39 fof(f49,definition,(
% 0.14/0.39 ![X3]: (sQ3_spl <=> (g_true_only(sK4_skl,X3)))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f50,plain,(
% 0.14/0.39 ![X0]: (g_true_only(sK4_skl,X0)|~sQ3_spl)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f49])).
% 0.14/0.39 fof(f52,plain,(
% 0.14/0.39 sQ0_spl|sQ1_spl|sQ2_spl|sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f13,f40,f43,f46,f49])).
% 0.14/0.39 fof(f53,definition,(
% 0.14/0.39 sQ4_spl <=> (g_false_only(sK1_skl,sK2_skl))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f54,plain,(
% 0.14/0.39 g_false_only(sK1_skl,sK2_skl)|~sQ4_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f53])).
% 0.14/0.39 fof(f56,plain,(
% 0.14/0.39 sQ0_spl|sQ4_spl|sQ2_spl|sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f14,f40,f53,f46,f49])).
% 0.14/0.39 fof(f57,plain,(
% 0.14/0.39 $false|~sQ3_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f12,f50])).
% 0.14/0.39 fof(f58,plain,(
% 0.14/0.39 ~sQ3_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f57])).
% 0.14/0.39 fof(f61,plain,(
% 0.14/0.39 ![X0]: (sP0_prd(X0)|g_both(a,X0)|g_false_only(X0,sK3_skl(X0))|~sQ2_spl)),
% 0.14/0.39 inference(resolution,[status(thm)],[f36,f47])).
% 0.14/0.39 fof(f62,plain,(
% 0.14/0.39 ![X0]: (sP0_prd(X0)|g_both(a,X0)|~sQ2_spl)),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f61,f37])).
% 0.14/0.39 fof(f63,plain,(
% 0.14/0.39 ![X0]: (sP0_prd(X0)|g_false_only(a,sK3_skl(a))|~sQ2_spl)),
% 0.14/0.39 inference(resolution,[status(thm)],[f62,f47])).
% 0.14/0.39 fof(f64,definition,(
% 0.14/0.39 sQ5_spl <=> (g_false_only(a,sK3_skl(a)))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f65,plain,(
% 0.14/0.39 g_false_only(a,sK3_skl(a))|~sQ5_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f64])).
% 0.14/0.39 fof(f67,plain,(
% 0.14/0.39 sQ0_spl|sQ5_spl|~sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f63,f40,f64,f46])).
% 0.14/0.39 fof(f68,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~g_both(X0,X1)|g_false_only(X0,sK5_skl(X0))|g_true_only(a,X0)|g_true_only(X0,X2)|~sQ0_spl)),
% 0.14/0.39 inference(backward_subsumption_resolution,[status(thm)],[f35,f41])).
% 0.14/0.39 fof(f69,plain,(
% 0.14/0.39 ![X0,X1]: (~g_both(a,X0)|g_true_only(a,X0)|g_true_only(X0,X1)|~sQ0_spl)),
% 0.14/0.39 inference(backward_subsumption_resolution,[status(thm)],[f34,f41])).
% 0.14/0.39 fof(f70,plain,(
% 0.14/0.39 ![X0,X1]: (g_false(X0,X1)|g_true_only(X0,X1)|g_both(X0,X1))),
% 0.14/0.39 inference(resolution,[status(thm)],[f27,f30])).
% 0.14/0.39 fof(f71,plain,(
% 0.14/0.39 ![X0,X1]: (g_false(X0,X1)|g_true_only(X0,X1))),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f70,f23])).
% 0.14/0.39 fof(f74,plain,(
% 0.14/0.39 ![X0,X1]: (g_false(X0,X1)|g_true(X0,X1))),
% 0.14/0.39 inference(resolution,[status(thm)],[f71,f17])).
% 0.14/0.39 fof(f75,plain,(
% 0.14/0.39 ![X0,X1]: (g_false_only(X0,X1)|g_true(X0,X1))),
% 0.14/0.39 inference(backward_subsumption_resolution,[status(thm)],[f29,f74])).
% 0.14/0.39 fof(f78,plain,(
% 0.14/0.39 ![X0,X1]: (g_true(a,X0)|~g_false_only(X0,X1))),
% 0.14/0.39 inference(resolution,[status(thm)],[f75,f11])).
% 0.14/0.39 fof(f81,plain,(
% 0.14/0.39 ![X0,X1]: (g_true(a,X0)|g_true_only(X0,X1)|g_both(X0,X1))),
% 0.14/0.39 inference(resolution,[status(thm)],[f78,f30])).
% 0.14/0.39 fof(f108,definition,(
% 0.14/0.39 ![X0]: (sQ9_spl <=> (g_true_only(a,X0)))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f109,plain,(
% 0.14/0.39 ![X0]: (g_true_only(a,X0)|~sQ9_spl)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f108])).
% 0.14/0.39 fof(f117,plain,(
% 0.14/0.39 $false|~sQ9_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f109,f12])).
% 0.14/0.39 fof(f120,plain,(
% 0.14/0.39 ~sQ9_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f117])).
% 0.14/0.39 fof(f126,plain,(
% 0.14/0.39 ![X0]: (~g_false_only(sK1_skl,X0)|~sQ1_spl)),
% 0.14/0.39 inference(resolution,[status(thm)],[f44,f11])).
% 0.14/0.39 fof(f129,plain,(
% 0.14/0.39 $false|~sQ1_spl|~sQ4_spl),
% 0.14/0.39 inference(backward_subsumption_resolution,[status(thm)],[f54,f126])).
% 0.14/0.39 fof(f130,plain,(
% 0.14/0.39 ~sQ1_spl|~sQ4_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f129])).
% 0.14/0.39 fof(f155,plain,(
% 0.14/0.39 ![X0]: (g_true(a,X0)|g_both(X0,sK0_skl(X0)))),
% 0.14/0.39 inference(resolution,[status(thm)],[f81,f12])).
% 0.14/0.39 fof(f163,plain,(
% 0.14/0.39 ![X0,X1]: (g_false_only(X0,sK5_skl(X0))|g_true_only(a,X0)|g_true_only(X0,X1)|g_true(a,X0)|~sQ0_spl)),
% 0.14/0.39 inference(resolution,[status(thm)],[f68,f155])).
% 0.14/0.39 fof(f166,plain,(
% 0.14/0.39 ![X0,X1]: (g_true_only(a,X0)|g_true_only(X0,X1)|g_true(a,X0)|~sQ0_spl)),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f163,f78])).
% 0.14/0.39 fof(f168,plain,(
% 0.14/0.39 ![X0]: (g_false_only(X0,sK3_skl(X0))|g_true(a,X0)|~sQ2_spl)),
% 0.14/0.39 inference(resolution,[status(thm)],[f47,f155])).
% 0.14/0.39 fof(f170,plain,(
% 0.14/0.39 ![X0]: (g_true(a,X0)|~sQ2_spl)),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f168,f78])).
% 0.14/0.39 fof(f174,plain,(
% 0.14/0.39 ![X0]: (~g_false_only(a,X0)|~sQ2_spl)),
% 0.14/0.39 inference(resolution,[status(thm)],[f170,f28])).
% 0.14/0.39 fof(f175,plain,(
% 0.14/0.39 $false|~sQ2_spl|~sQ5_spl),
% 0.14/0.39 inference(backward_subsumption_resolution,[status(thm)],[f65,f174])).
% 0.14/0.39 fof(f176,plain,(
% 0.14/0.39 ~sQ2_spl|~sQ5_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f175])).
% 0.14/0.39 fof(f179,plain,(
% 0.14/0.39 ![X0,X1]: (g_true_only(X0,X1)|g_true(a,X0)|~sQ0_spl)),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f166,f17])).
% 0.14/0.39 fof(f206,plain,(
% 0.14/0.39 ![X0]: (g_true(a,X0)|~sQ0_spl)),
% 0.14/0.39 inference(resolution,[status(thm)],[f179,f12])).
% 0.14/0.39 fof(f210,plain,(
% 0.14/0.39 ![X0]: (~g_false_only(a,X0)|~sQ0_spl)),
% 0.14/0.39 inference(resolution,[status(thm)],[f206,f28])).
% 0.14/0.39 fof(f214,plain,(
% 0.14/0.39 ![X0]: (g_true_only(a,X0)|g_both(a,X0)|~sQ0_spl)),
% 0.14/0.39 inference(resolution,[status(thm)],[f210,f30])).
% 0.14/0.39 fof(f215,plain,(
% 0.14/0.39 ![X0,X1]: (g_true_only(a,X0)|g_true_only(X0,X1)|~sQ0_spl)),
% 0.14/0.39 inference(backward_subsumption_resolution,[status(thm)],[f69,f214])).
% 0.14/0.39 fof(f225,plain,(
% 0.14/0.39 ![X0]: (g_true_only(a,X0)|~sQ0_spl)),
% 0.14/0.39 inference(resolution,[status(thm)],[f215,f12])).
% 0.14/0.39 fof(f228,plain,(
% 0.14/0.39 sQ9_spl|~sQ0_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f225,f108,f40])).
% 0.14/0.39 fof(f229,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(sat_refutation,[status(thm)],[f52,f56,f58,f67,f120,f130,f176,f228])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.046486 seconds
% 0.14/0.41 % CPU time: 0.135681 seconds
% 0.14/0.41 % Total memory used: 17.795 MB
% 0.14/0.41 % Net memory used: 17.392 MB
%------------------------------------------------------------------------------