TSTP Solution File: SEV515+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEV515+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:43:42 EDT 2024
% Result : Theorem 0.11s 0.28s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : SEV515+1 : TPTP v8.1.2. Released v7.0.0.
% 0.02/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n011.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Mon Apr 29 19:58:00 EDT 2024
% 0.07/0.27 % CPUTime :
% 0.11/0.27 % Drodi V3.6.0
% 0.11/0.28 % Refutation found
% 0.11/0.28 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.28 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.28 fof(f1,conjecture,(
% 0.11/0.28 ( (! [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) ) ) ))) ) ),
% 0.11/0.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.28 fof(f2,negated_conjecture,(
% 0.11/0.28 ~(( (! [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) ) ) ))) ) )),
% 0.11/0.28 inference(negated_conjecture,[status(cth)],[f1])).
% 0.11/0.28 fof(f3,axiom,(
% 0.11/0.28 (! [X_2,X_1] :( g_true_only(X_2,X_1)<=> ( g_true(X_2,X_1)& ~ g_false(X_2,X_1) ) ) )),
% 0.11/0.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.28 fof(f4,axiom,(
% 0.11/0.28 (! [X_2,X_1] :( g_both(X_2,X_1)<=> ( g_true(X_2,X_1)& g_false(X_2,X_1) ) ) )),
% 0.11/0.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.28 fof(f5,axiom,(
% 0.11/0.28 (! [X_2,X_1] :( g_false_only(X_2,X_1)<=> ( g_false(X_2,X_1)& ~ g_true(X_2,X_1) ) ) )),
% 0.11/0.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.28 fof(f6,axiom,(
% 0.11/0.28 (! [X_2,X_1] :( g_true_only(X_2,X_1)| g_both(X_2,X_1)| g_false_only(X_2,X_1) ) )),
% 0.11/0.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.28 fof(f7,plain,(
% 0.11/0.28 ((?[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))))))),
% 0.11/0.28 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.11/0.28 fof(f8,plain,(
% 0.11/0.28 ![A,B]: (pd0_0(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)))))),
% 0.11/0.28 introduced(predicate_definition,[f7])).
% 0.11/0.28 fof(f9,plain,(
% 0.11/0.28 ![A,B]: (pd0_1(B,A)=>(g_true_only(B,A)&g_false_only(B,B)))),
% 0.11/0.28 introduced(predicate_definition,[f7])).
% 0.11/0.28 fof(f10,plain,(
% 0.11/0.28 (?[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]: pd0_0(B,A))))|(?[A]: ![B]: (pd0_1(B,A)|(g_false_only(B,A)&g_true_only(B,B)))))),
% 0.11/0.28 inference(formula_renaming,[status(thm)],[f7,f9,f8])).
% 0.11/0.28 fof(f11,plain,(
% 0.11/0.28 (?[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]: pd0_0(B,A))))|(?[A]: ![B]: (pd0_1(B,A)|(g_false_only(B,A)&g_true_only(B,B)))))),
% 0.11/0.28 inference(miniscoping,[status(esa)],[f10])).
% 0.11/0.28 fof(f12,plain,(
% 0.11/0.28 (((![B]: (~g_true_only(B,sk0_0)|(~g_both(B,B)&~g_true_only(B,B))))&(![B]: (~g_both(B,sk0_0)|(~g_false_only(B,B)&~g_true_only(B,B)))))&(![B]: (~g_false_only(B,sk0_0)|(~g_false_only(B,B)&~g_both(B,B)))))&((![A]: ((![B]: (~g_both(B,A)|~g_both(B,B)))|pd0_0(sk0_1(A),A)))|![B]: (pd0_1(B,sk0_2)|(g_false_only(B,sk0_2)&g_true_only(B,B))))),
% 0.11/0.28 inference(skolemization,[status(esa)],[f11])).
% 0.11/0.28 fof(f13,plain,(
% 0.11/0.28 ![X0]: (~g_true_only(X0,sk0_0)|~g_both(X0,X0))),
% 0.11/0.28 inference(cnf_transformation,[status(esa)],[f12])).
% 0.11/0.28 fof(f14,plain,(
% 0.11/0.28 ![X0]: (~g_true_only(X0,sk0_0)|~g_true_only(X0,X0))),
% 0.11/0.28 inference(cnf_transformation,[status(esa)],[f12])).
% 0.11/0.28 fof(f15,plain,(
% 0.11/0.28 ![X0]: (~g_both(X0,sk0_0)|~g_false_only(X0,X0))),
% 0.11/0.28 inference(cnf_transformation,[status(esa)],[f12])).
% 0.11/0.28 fof(f16,plain,(
% 0.11/0.28 ![X0]: (~g_both(X0,sk0_0)|~g_true_only(X0,X0))),
% 0.11/0.28 inference(cnf_transformation,[status(esa)],[f12])).
% 0.11/0.28 fof(f17,plain,(
% 0.11/0.28 ![X0]: (~g_false_only(X0,sk0_0)|~g_false_only(X0,X0))),
% 0.11/0.28 inference(cnf_transformation,[status(esa)],[f12])).
% 0.11/0.28 fof(f18,plain,(
% 0.11/0.28 ![X0]: (~g_false_only(X0,sk0_0)|~g_both(X0,X0))),
% 0.11/0.28 inference(cnf_transformation,[status(esa)],[f12])).
% 0.11/0.28 fof(f20,plain,(
% 0.11/0.28 ![X0,X1,X2]: (~g_both(X0,X1)|~g_both(X0,X0)|pd0_0(sk0_1(X1),X1)|pd0_1(X2,sk0_2)|g_true_only(X2,X2))),
% 0.11/0.28 inference(cnf_transformation,[status(esa)],[f12])).
% 0.11/0.28 fof(f21,plain,(
% 0.11/0.28 ![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))))),
% 0.11/0.28 inference(NNF_transformation,[status(esa)],[f3])).
% 0.11/0.28 fof(f22,plain,(
% 0.11/0.28 (![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))))),
% 0.11/0.28 inference(miniscoping,[status(esa)],[f21])).
% 0.11/0.28 fof(f24,plain,(
% 0.11/0.28 ![X0,X1]: (~g_true_only(X0,X1)|~g_false(X0,X1))),
% 0.11/0.28 inference(cnf_transformation,[status(esa)],[f22])).
% 0.11/0.28 fof(f26,plain,(
% 0.11/0.28 ![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))))),
% 0.11/0.28 inference(NNF_transformation,[status(esa)],[f4])).
% 0.11/0.28 fof(f27,plain,(
% 0.11/0.28 (![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))))),
% 0.11/0.28 inference(miniscoping,[status(esa)],[f26])).
% 0.11/0.28 fof(f28,plain,(
% 0.11/0.28 ![X0,X1]: (~g_both(X0,X1)|g_true(X0,X1))),
% 0.11/0.28 inference(cnf_transformation,[status(esa)],[f27])).
% 0.11/0.28 fof(f31,plain,(
% 0.11/0.28 ![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))))),
% 0.11/0.28 inference(NNF_transformation,[status(esa)],[f5])).
% 0.11/0.28 fof(f32,plain,(
% 0.11/0.28 (![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))))),
% 0.11/0.28 inference(miniscoping,[status(esa)],[f31])).
% 0.11/0.28 fof(f33,plain,(
% 0.11/0.28 ![X0,X1]: (~g_false_only(X0,X1)|g_false(X0,X1))),
% 0.11/0.28 inference(cnf_transformation,[status(esa)],[f32])).
% 0.11/0.28 fof(f34,plain,(
% 0.11/0.28 ![X0,X1]: (~g_false_only(X0,X1)|~g_true(X0,X1))),
% 0.11/0.28 inference(cnf_transformation,[status(esa)],[f32])).
% 0.11/0.28 fof(f36,plain,(
% 0.11/0.28 ![X0,X1]: (g_true_only(X0,X1)|g_both(X0,X1)|g_false_only(X0,X1))),
% 0.11/0.28 inference(cnf_transformation,[status(esa)],[f6])).
% 0.11/0.28 fof(f37,plain,(
% 0.11/0.28 ![A,B]: (~pd0_0(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)))))),
% 0.11/0.28 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.11/0.28 fof(f38,plain,(
% 0.11/0.28 ![A,B]: (pd0_2(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)))))),
% 0.11/0.28 introduced(predicate_definition,[f37])).
% 0.11/0.28 fof(f39,plain,(
% 0.11/0.28 ![A,B]: (~pd0_0(B,A)|(pd0_2(B,A)|(g_false_only(B,A)&(g_false_only(B,B)|g_both(B,B)))))),
% 0.11/0.28 inference(formula_renaming,[status(thm)],[f37,f38])).
% 0.11/0.28 fof(f40,plain,(
% 0.11/0.28 ![X0,X1]: (~pd0_0(X0,X1)|pd0_2(X0,X1)|g_false_only(X0,X1))),
% 0.11/0.28 inference(cnf_transformation,[status(esa)],[f39])).
% 0.11/0.28 fof(f41,plain,(
% 0.11/0.28 ![X0,X1]: (~pd0_0(X0,X1)|pd0_2(X0,X1)|g_false_only(X0,X0)|g_both(X0,X0))),
% 0.11/0.28 inference(cnf_transformation,[status(esa)],[f39])).
% 0.11/0.28 fof(f42,plain,(
% 0.11/0.28 ![A,B]: (~pd0_1(B,A)|(g_true_only(B,A)&g_false_only(B,B)))),
% 0.11/0.28 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.11/0.28 fof(f44,plain,(
% 0.11/0.28 ![X0,X1]: (~pd0_1(X0,X1)|g_false_only(X0,X0))),
% 0.11/0.28 inference(cnf_transformation,[status(esa)],[f42])).
% 0.11/0.28 fof(f45,plain,(
% 0.11/0.28 ![A,B]: (~pd0_2(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)))))),
% 0.11/0.28 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 0.11/0.28 fof(f46,plain,(
% 0.11/0.28 ![A,B]: (pd0_3(B,A)=>(g_true_only(B,A)&(g_both(B,B)|g_true_only(B,B))))),
% 0.11/0.28 introduced(predicate_definition,[f45])).
% 0.11/0.28 fof(f47,plain,(
% 0.11/0.28 ![A,B]: (~pd0_2(B,A)|(pd0_3(B,A)|(g_both(B,A)&(g_false_only(B,B)|g_true_only(B,B)))))),
% 0.11/0.28 inference(formula_renaming,[status(thm)],[f45,f46])).
% 0.11/0.28 fof(f48,plain,(
% 0.11/0.28 ![X0,X1]: (~pd0_2(X0,X1)|pd0_3(X0,X1)|g_both(X0,X1))),
% 0.11/0.28 inference(cnf_transformation,[status(esa)],[f47])).
% 0.11/0.28 fof(f49,plain,(
% 0.11/0.28 ![X0,X1]: (~pd0_2(X0,X1)|pd0_3(X0,X1)|g_false_only(X0,X0)|g_true_only(X0,X0))),
% 0.11/0.28 inference(cnf_transformation,[status(esa)],[f47])).
% 0.11/0.28 fof(f50,plain,(
% 0.11/0.28 ![A,B]: (~pd0_3(B,A)|(g_true_only(B,A)&(g_both(B,B)|g_true_only(B,B))))),
% 0.11/0.28 inference(pre_NNF_transformation,[status(esa)],[f46])).
% 0.11/0.28 fof(f51,plain,(
% 0.11/0.28 ![X0,X1]: (~pd0_3(X0,X1)|g_true_only(X0,X1))),
% 0.11/0.28 inference(cnf_transformation,[status(esa)],[f50])).
% 0.11/0.28 fof(f52,plain,(
% 0.11/0.28 ![X0,X1]: (~pd0_3(X0,X1)|g_both(X0,X0)|g_true_only(X0,X0))),
% 0.11/0.28 inference(cnf_transformation,[status(esa)],[f50])).
% 0.11/0.28 fof(f53,plain,(
% 0.11/0.28 spl0_0 <=> ~g_both(X0,X1)|~g_both(X0,X0)|pd0_0(sk0_1(X1),X1)),
% 0.11/0.28 introduced(split_symbol_definition)).
% 0.11/0.28 fof(f54,plain,(
% 0.11/0.28 ![X0,X1]: (~g_both(X0,X1)|~g_both(X0,X0)|pd0_0(sk0_1(X1),X1)|~spl0_0)),
% 0.11/0.28 inference(component_clause,[status(thm)],[f53])).
% 0.11/0.28 fof(f60,plain,(
% 0.11/0.28 spl0_2 <=> pd0_1(X2,sk0_2)|g_true_only(X2,X2)),
% 0.11/0.28 introduced(split_symbol_definition)).
% 0.11/0.28 fof(f61,plain,(
% 0.11/0.28 ![X0]: (pd0_1(X0,sk0_2)|g_true_only(X0,X0)|~spl0_2)),
% 0.11/0.28 inference(component_clause,[status(thm)],[f60])).
% 0.11/0.28 fof(f63,plain,(
% 0.11/0.28 spl0_0|spl0_2),
% 0.11/0.28 inference(split_clause,[status(thm)],[f20,f53,f60])).
% 0.11/0.28 fof(f64,plain,(
% 0.11/0.28 spl0_3 <=> g_false_only(sk0_0,sk0_0)),
% 0.11/0.28 introduced(split_symbol_definition)).
% 0.11/0.28 fof(f66,plain,(
% 0.11/0.28 ~g_false_only(sk0_0,sk0_0)|spl0_3),
% 0.11/0.28 inference(component_clause,[status(thm)],[f64])).
% 0.11/0.28 fof(f72,plain,(
% 0.11/0.28 ![X0]: (g_true_only(X0,sk0_0)|g_both(X0,sk0_0)|~g_false_only(X0,X0))),
% 0.11/0.28 inference(resolution,[status(thm)],[f36,f17])).
% 0.11/0.28 fof(f73,plain,(
% 0.11/0.28 ![X0]: (g_true_only(X0,sk0_0)|~g_false_only(X0,X0))),
% 0.11/0.28 inference(forward_subsumption_resolution,[status(thm)],[f72,f15])).
% 0.11/0.28 fof(f74,plain,(
% 0.11/0.28 ![X0]: (~g_false_only(X0,X0)|~g_true_only(X0,X0))),
% 0.11/0.28 inference(resolution,[status(thm)],[f73,f14])).
% 0.11/0.28 fof(f76,plain,(
% 0.11/0.28 ~g_false_only(sk0_0,sk0_0)|~g_false_only(sk0_0,sk0_0)),
% 0.11/0.28 inference(resolution,[status(thm)],[f74,f73])).
% 0.11/0.28 fof(f77,plain,(
% 0.11/0.28 ~spl0_3),
% 0.11/0.28 inference(split_clause,[status(thm)],[f76,f64])).
% 0.11/0.28 fof(f78,plain,(
% 0.11/0.28 ![X0,X1]: (~pd0_2(X0,X1)|g_both(X0,X1)|g_true_only(X0,X1))),
% 0.11/0.28 inference(resolution,[status(thm)],[f48,f51])).
% 0.11/0.28 fof(f79,plain,(
% 0.11/0.28 ![X0,X1]: (g_both(X0,X0)|g_true_only(X0,X0)|~pd0_2(X0,X1)|g_both(X0,X1))),
% 0.11/0.28 inference(resolution,[status(thm)],[f52,f48])).
% 0.11/0.28 fof(f80,plain,(
% 0.11/0.28 spl0_5 <=> ~pd0_2(sk0_0,X0)|pd0_3(sk0_0,X0)),
% 0.11/0.28 introduced(split_symbol_definition)).
% 0.11/0.28 fof(f83,plain,(
% 0.11/0.28 spl0_6 <=> g_true_only(sk0_0,sk0_0)),
% 0.11/0.28 introduced(split_symbol_definition)).
% 0.11/0.28 fof(f84,plain,(
% 0.11/0.28 g_true_only(sk0_0,sk0_0)|~spl0_6),
% 0.11/0.28 inference(component_clause,[status(thm)],[f83])).
% 0.11/0.28 fof(f88,plain,(
% 0.11/0.28 ![X0,X1]: (~g_false_only(X0,X1)|~g_true_only(X0,X1))),
% 0.11/0.28 inference(resolution,[status(thm)],[f33,f24])).
% 0.11/0.28 fof(f89,plain,(
% 0.11/0.28 ![X0,X1]: (~g_false_only(X0,X1)|~g_both(X0,X1))),
% 0.11/0.28 inference(resolution,[status(thm)],[f34,f28])).
% 0.11/0.28 fof(f95,plain,(
% 0.11/0.28 ![X0,X1]: (g_both(X0,X1)|g_true_only(X0,X1)|~pd0_0(X0,X1)|g_false_only(X0,X0)|g_both(X0,X0))),
% 0.11/0.28 inference(resolution,[status(thm)],[f78,f41])).
% 0.11/0.28 fof(f100,plain,(
% 0.11/0.28 ![X0,X1]: (g_both(X0,X0)|g_true_only(X0,X0)|g_both(X0,X1)|~pd0_0(X0,X1)|g_false_only(X0,X1))),
% 0.11/0.28 inference(resolution,[status(thm)],[f79,f40])).
% 0.11/0.28 fof(f101,plain,(
% 0.11/0.28 ![X0]: (~pd0_2(sk0_0,X0)|pd0_3(sk0_0,X0)|g_true_only(sk0_0,sk0_0)|spl0_3)),
% 0.11/0.28 inference(resolution,[status(thm)],[f66,f49])).
% 0.11/0.28 fof(f102,plain,(
% 0.11/0.28 spl0_5|spl0_6|spl0_3),
% 0.11/0.28 inference(split_clause,[status(thm)],[f101,f80,f83,f64])).
% 0.11/0.28 fof(f103,plain,(
% 0.11/0.28 spl0_7 <=> g_both(sk0_0,sk0_0)),
% 0.11/0.28 introduced(split_symbol_definition)).
% 0.11/0.28 fof(f104,plain,(
% 0.11/0.28 g_both(sk0_0,sk0_0)|~spl0_7),
% 0.11/0.28 inference(component_clause,[status(thm)],[f103])).
% 0.11/0.28 fof(f106,plain,(
% 0.11/0.28 g_true_only(sk0_0,sk0_0)|g_both(sk0_0,sk0_0)|spl0_3),
% 0.11/0.28 inference(resolution,[status(thm)],[f66,f36])).
% 0.11/0.28 fof(f107,plain,(
% 0.11/0.28 spl0_6|spl0_7|spl0_3),
% 0.11/0.28 inference(split_clause,[status(thm)],[f106,f83,f103,f64])).
% 0.11/0.28 fof(f108,plain,(
% 0.11/0.28 ![X0]: (~pd0_1(sk0_0,X0)|spl0_3)),
% 0.11/0.28 inference(resolution,[status(thm)],[f66,f44])).
% 0.11/0.28 fof(f109,plain,(
% 0.11/0.28 ~g_true_only(sk0_0,sk0_0)|~spl0_6),
% 0.11/0.28 inference(resolution,[status(thm)],[f84,f14])).
% 0.11/0.28 fof(f110,plain,(
% 0.11/0.28 $false|~spl0_6),
% 0.11/0.28 inference(forward_subsumption_resolution,[status(thm)],[f109,f84])).
% 0.11/0.28 fof(f111,plain,(
% 0.11/0.28 ~spl0_6),
% 0.11/0.28 inference(contradiction_clause,[status(thm)],[f110])).
% 0.11/0.28 fof(f113,plain,(
% 0.11/0.28 ![X0]: (~g_both(sk0_0,X0)|pd0_0(sk0_1(X0),X0)|~spl0_7|~spl0_0)),
% 0.11/0.28 inference(resolution,[status(thm)],[f104,f54])).
% 0.11/0.28 fof(f132,plain,(
% 0.11/0.28 pd0_0(sk0_1(sk0_0),sk0_0)|~spl0_0|~spl0_7),
% 0.11/0.28 inference(resolution,[status(thm)],[f113,f104])).
% 0.11/0.28 fof(f133,plain,(
% 0.11/0.28 spl0_11 <=> g_both(sk0_1(sk0_0),sk0_1(sk0_0))),
% 0.11/0.28 introduced(split_symbol_definition)).
% 0.11/0.28 fof(f134,plain,(
% 0.11/0.28 g_both(sk0_1(sk0_0),sk0_1(sk0_0))|~spl0_11),
% 0.11/0.28 inference(component_clause,[status(thm)],[f133])).
% 0.11/0.28 fof(f136,plain,(
% 0.11/0.28 spl0_12 <=> g_true_only(sk0_1(sk0_0),sk0_1(sk0_0))),
% 0.11/0.28 introduced(split_symbol_definition)).
% 0.11/0.28 fof(f137,plain,(
% 0.11/0.28 g_true_only(sk0_1(sk0_0),sk0_1(sk0_0))|~spl0_12),
% 0.11/0.28 inference(component_clause,[status(thm)],[f136])).
% 0.11/0.28 fof(f139,plain,(
% 0.11/0.28 spl0_13 <=> g_both(sk0_1(sk0_0),sk0_0)),
% 0.11/0.28 introduced(split_symbol_definition)).
% 0.11/0.28 fof(f140,plain,(
% 0.11/0.28 g_both(sk0_1(sk0_0),sk0_0)|~spl0_13),
% 0.11/0.28 inference(component_clause,[status(thm)],[f139])).
% 0.11/0.28 fof(f142,plain,(
% 0.11/0.28 spl0_14 <=> g_false_only(sk0_1(sk0_0),sk0_0)),
% 0.11/0.28 introduced(split_symbol_definition)).
% 0.11/0.28 fof(f143,plain,(
% 0.11/0.28 g_false_only(sk0_1(sk0_0),sk0_0)|~spl0_14),
% 0.11/0.28 inference(component_clause,[status(thm)],[f142])).
% 0.11/0.28 fof(f145,plain,(
% 0.11/0.28 g_both(sk0_1(sk0_0),sk0_1(sk0_0))|g_true_only(sk0_1(sk0_0),sk0_1(sk0_0))|g_both(sk0_1(sk0_0),sk0_0)|g_false_only(sk0_1(sk0_0),sk0_0)|~spl0_0|~spl0_7),
% 0.11/0.28 inference(resolution,[status(thm)],[f132,f100])).
% 0.11/0.28 fof(f146,plain,(
% 0.11/0.28 spl0_11|spl0_12|spl0_13|spl0_14|~spl0_0|~spl0_7),
% 0.11/0.28 inference(split_clause,[status(thm)],[f145,f133,f136,f139,f142,f53,f103])).
% 0.11/0.28 fof(f147,plain,(
% 0.11/0.28 spl0_15 <=> g_true_only(sk0_1(sk0_0),sk0_0)),
% 0.11/0.28 introduced(split_symbol_definition)).
% 0.11/0.28 fof(f148,plain,(
% 0.11/0.28 g_true_only(sk0_1(sk0_0),sk0_0)|~spl0_15),
% 0.11/0.28 inference(component_clause,[status(thm)],[f147])).
% 0.11/0.28 fof(f149,plain,(
% 0.11/0.28 ~g_true_only(sk0_1(sk0_0),sk0_0)|spl0_15),
% 0.11/0.28 inference(component_clause,[status(thm)],[f147])).
% 0.11/0.28 fof(f150,plain,(
% 0.11/0.28 spl0_16 <=> g_false_only(sk0_1(sk0_0),sk0_1(sk0_0))),
% 0.11/0.28 introduced(split_symbol_definition)).
% 0.11/0.28 fof(f151,plain,(
% 0.11/0.28 g_false_only(sk0_1(sk0_0),sk0_1(sk0_0))|~spl0_16),
% 0.11/0.28 inference(component_clause,[status(thm)],[f150])).
% 0.11/0.28 fof(f153,plain,(
% 0.11/0.28 g_both(sk0_1(sk0_0),sk0_0)|g_true_only(sk0_1(sk0_0),sk0_0)|g_false_only(sk0_1(sk0_0),sk0_1(sk0_0))|g_both(sk0_1(sk0_0),sk0_1(sk0_0))|~spl0_0|~spl0_7),
% 0.11/0.28 inference(resolution,[status(thm)],[f132,f95])).
% 0.11/0.28 fof(f154,plain,(
% 0.11/0.28 spl0_13|spl0_15|spl0_16|spl0_11|~spl0_0|~spl0_7),
% 0.11/0.28 inference(split_clause,[status(thm)],[f153,f139,f147,f150,f133,f53,f103])).
% 0.11/0.28 fof(f155,plain,(
% 0.11/0.28 g_true_only(sk0_0,sk0_0)|~spl0_2|spl0_3),
% 0.11/0.28 inference(resolution,[status(thm)],[f61,f108])).
% 0.11/0.28 fof(f156,plain,(
% 0.11/0.28 spl0_6|~spl0_2|spl0_3),
% 0.11/0.28 inference(split_clause,[status(thm)],[f155,f83,f60,f64])).
% 0.11/0.28 fof(f164,plain,(
% 0.11/0.28 ~g_false_only(sk0_1(sk0_0),sk0_0)|~spl0_11),
% 0.11/0.28 inference(resolution,[status(thm)],[f134,f18])).
% 0.11/0.28 fof(f165,plain,(
% 0.11/0.28 g_true_only(sk0_1(sk0_0),sk0_0)|g_both(sk0_1(sk0_0),sk0_0)|~spl0_11),
% 0.11/0.28 inference(resolution,[status(thm)],[f164,f36])).
% 0.11/0.28 fof(f166,plain,(
% 0.11/0.28 spl0_15|spl0_13|~spl0_11),
% 0.11/0.28 inference(split_clause,[status(thm)],[f165,f147,f139,f133])).
% 0.11/0.28 fof(f167,plain,(
% 0.11/0.28 ~g_true_only(sk0_1(sk0_0),sk0_1(sk0_0))|~spl0_13),
% 0.11/0.28 inference(resolution,[status(thm)],[f140,f16])).
% 0.11/0.28 fof(f168,plain,(
% 0.11/0.28 ~g_false_only(sk0_1(sk0_0),sk0_1(sk0_0))|~spl0_13),
% 0.11/0.28 inference(resolution,[status(thm)],[f140,f15])).
% 0.11/0.28 fof(f169,plain,(
% 0.11/0.28 ~g_false_only(sk0_1(sk0_0),sk0_0)|~spl0_13),
% 0.11/0.28 inference(resolution,[status(thm)],[f140,f89])).
% 0.11/0.28 fof(f181,plain,(
% 0.11/0.28 spl0_18 <=> ~pd0_2(sk0_1(sk0_0),X0)|pd0_3(sk0_1(sk0_0),X0)),
% 0.11/0.28 introduced(split_symbol_definition)).
% 0.11/0.28 fof(f182,plain,(
% 0.11/0.28 ![X0]: (~pd0_2(sk0_1(sk0_0),X0)|pd0_3(sk0_1(sk0_0),X0)|~spl0_18)),
% 0.11/0.28 inference(component_clause,[status(thm)],[f181])).
% 0.11/0.28 fof(f184,plain,(
% 0.11/0.28 ![X0]: (~pd0_2(sk0_1(sk0_0),X0)|pd0_3(sk0_1(sk0_0),X0)|g_true_only(sk0_1(sk0_0),sk0_1(sk0_0))|~spl0_13)),
% 0.11/0.28 inference(resolution,[status(thm)],[f168,f49])).
% 0.11/0.28 fof(f185,plain,(
% 0.11/0.28 spl0_18|spl0_12|~spl0_13),
% 0.11/0.28 inference(split_clause,[status(thm)],[f184,f181,f136,f139])).
% 0.11/0.28 fof(f186,plain,(
% 0.11/0.28 g_true_only(sk0_1(sk0_0),sk0_1(sk0_0))|g_both(sk0_1(sk0_0),sk0_1(sk0_0))|~spl0_13),
% 0.11/0.28 inference(resolution,[status(thm)],[f168,f36])).
% 0.11/0.28 fof(f187,plain,(
% 0.11/0.28 spl0_12|spl0_11|~spl0_13),
% 0.11/0.28 inference(split_clause,[status(thm)],[f186,f136,f133,f139])).
% 0.11/0.28 fof(f189,plain,(
% 0.11/0.28 ~g_true_only(sk0_1(sk0_0),sk0_1(sk0_0))|~spl0_15),
% 0.11/0.28 inference(resolution,[status(thm)],[f148,f14])).
% 0.11/0.28 fof(f190,plain,(
% 0.11/0.28 ~g_both(sk0_1(sk0_0),sk0_1(sk0_0))|~spl0_15),
% 0.11/0.28 inference(resolution,[status(thm)],[f148,f13])).
% 0.11/0.28 fof(f195,plain,(
% 0.11/0.28 $false|~spl0_12|~spl0_15),
% 0.11/0.28 inference(forward_subsumption_resolution,[status(thm)],[f189,f137])).
% 0.11/0.28 fof(f196,plain,(
% 0.11/0.28 ~spl0_12|~spl0_15),
% 0.11/0.28 inference(contradiction_clause,[status(thm)],[f195])).
% 0.11/0.28 fof(f197,plain,(
% 0.11/0.28 $false|~spl0_15|~spl0_11),
% 0.11/0.28 inference(forward_subsumption_resolution,[status(thm)],[f134,f190])).
% 0.11/0.28 fof(f198,plain,(
% 0.11/0.28 ~spl0_15|~spl0_11),
% 0.11/0.28 inference(contradiction_clause,[status(thm)],[f197])).
% 0.11/0.28 fof(f199,plain,(
% 0.11/0.28 ~spl0_12|~spl0_13),
% 0.11/0.28 inference(split_clause,[status(thm)],[f167,f136,f139])).
% 0.11/0.28 fof(f205,plain,(
% 0.11/0.28 ~g_false_only(sk0_1(sk0_0),sk0_1(sk0_0))|spl0_15),
% 0.11/0.28 inference(resolution,[status(thm)],[f149,f73])).
% 0.11/0.28 fof(f229,plain,(
% 0.11/0.28 ![X0]: (~pd0_2(sk0_1(sk0_0),X0)|g_true_only(sk0_1(sk0_0),X0)|~spl0_18)),
% 0.11/0.28 inference(resolution,[status(thm)],[f182,f51])).
% 0.11/0.28 fof(f239,plain,(
% 0.11/0.28 ![X0]: (g_true_only(sk0_1(sk0_0),X0)|~pd0_0(sk0_1(sk0_0),X0)|g_false_only(sk0_1(sk0_0),X0)|~spl0_18)),
% 0.11/0.28 inference(resolution,[status(thm)],[f229,f40])).
% 0.11/0.28 fof(f240,plain,(
% 0.11/0.28 g_true_only(sk0_1(sk0_0),sk0_0)|g_false_only(sk0_1(sk0_0),sk0_0)|~spl0_18|~spl0_0|~spl0_7),
% 0.11/0.28 inference(resolution,[status(thm)],[f239,f132])).
% 0.11/0.28 fof(f241,plain,(
% 0.11/0.28 spl0_15|spl0_14|~spl0_18|~spl0_0|~spl0_7),
% 0.11/0.28 inference(split_clause,[status(thm)],[f240,f147,f142,f181,f53,f103])).
% 0.11/0.28 fof(f246,plain,(
% 0.11/0.28 ~g_false_only(sk0_1(sk0_0),sk0_0)|~spl0_15),
% 0.11/0.28 inference(resolution,[status(thm)],[f148,f88])).
% 0.11/0.28 fof(f247,plain,(
% 0.11/0.28 $false|~spl0_14|~spl0_15),
% 0.11/0.28 inference(forward_subsumption_resolution,[status(thm)],[f246,f143])).
% 0.11/0.28 fof(f248,plain,(
% 0.11/0.28 ~spl0_14|~spl0_15),
% 0.11/0.28 inference(contradiction_clause,[status(thm)],[f247])).
% 0.11/0.28 fof(f253,plain,(
% 0.11/0.28 ~g_false_only(sk0_1(sk0_0),sk0_1(sk0_0))|~spl0_12),
% 0.11/0.28 inference(resolution,[status(thm)],[f137,f88])).
% 0.11/0.28 fof(f254,plain,(
% 0.11/0.28 $false|~spl0_16|~spl0_12),
% 0.11/0.28 inference(forward_subsumption_resolution,[status(thm)],[f253,f151])).
% 0.11/0.28 fof(f255,plain,(
% 0.11/0.28 ~spl0_16|~spl0_12),
% 0.11/0.28 inference(contradiction_clause,[status(thm)],[f254])).
% 0.11/0.28 fof(f261,plain,(
% 0.11/0.28 ~spl0_14|~spl0_13),
% 0.11/0.28 inference(split_clause,[status(thm)],[f169,f142,f139])).
% 0.11/0.28 fof(f264,plain,(
% 0.11/0.28 g_true_only(sk0_1(sk0_0),sk0_1(sk0_0))|g_both(sk0_1(sk0_0),sk0_1(sk0_0))|spl0_15),
% 0.11/0.28 inference(resolution,[status(thm)],[f205,f36])).
% 0.11/0.28 fof(f265,plain,(
% 0.11/0.28 spl0_12|spl0_11|spl0_15),
% 0.11/0.28 inference(split_clause,[status(thm)],[f264,f136,f133,f147])).
% 0.11/0.28 fof(f267,plain,(
% 0.11/0.28 $false),
% 0.11/0.28 inference(sat_refutation,[status(thm)],[f63,f77,f102,f107,f111,f146,f154,f156,f166,f185,f187,f196,f198,f199,f241,f248,f255,f261,f265])).
% 0.11/0.28 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.28 % Elapsed time: 0.014401 seconds
% 0.11/0.28 % CPU time: 0.045763 seconds
% 0.11/0.28 % Total memory used: 2.838 MB
% 0.11/0.28 % Net memory used: 2.744 MB
%------------------------------------------------------------------------------