TSTP Solution File: SYN417+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN417+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 : Wed May 31 12:46:47 EDT 2023
% Result : Theorem 0.07s 0.27s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SYN417+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n002.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 : Tue May 30 10:42:27 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % Drodi V3.5.1
% 0.07/0.27 % Refutation found
% 0.07/0.27 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.27 % SZS output start CNFRefutation for theBenchmark
% 0.07/0.27 fof(f1,conjecture,(
% 0.07/0.27 ( (? [X] :( X = f(g(X))& (! [Y] :( Y = f(g(Y))=> X = Y ) )))<=> (? [X] :( X = g(f(X))& (! [Y] :( Y = g(f(Y))=> X = Y ) )) )) ),
% 0.07/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f2,negated_conjecture,(
% 0.07/0.27 ~(( (? [X] :( X = f(g(X))& (! [Y] :( Y = f(g(Y))=> X = Y ) )))<=> (? [X] :( X = g(f(X))& (! [Y] :( Y = g(f(Y))=> X = Y ) )) )) )),
% 0.07/0.27 inference(negated_conjecture,[status(cth)],[f1])).
% 0.07/0.27 fof(f3,plain,(
% 0.07/0.27 ((?[X]: (X=f(g(X))&(![Y]: (~Y=f(g(Y))|X=Y))))<~>(?[X]: (X=g(f(X))&(![Y]: (~Y=g(f(Y))|X=Y)))))),
% 0.07/0.27 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.07/0.27 fof(f4,plain,(
% 0.07/0.27 ((?[X]: (X=f(g(X))&(![Y]: (~Y=f(g(Y))|X=Y))))|(?[X]: (X=g(f(X))&(![Y]: (~Y=g(f(Y))|X=Y)))))&((![X]: (~X=f(g(X))|(?[Y]: (Y=f(g(Y))&~X=Y))))|(![X]: (~X=g(f(X))|(?[Y]: (Y=g(f(Y))&~X=Y)))))),
% 0.07/0.27 inference(NNF_transformation,[status(esa)],[f3])).
% 0.07/0.27 fof(f5,plain,(
% 0.07/0.27 ((sk0_0=f(g(sk0_0))&(![Y]: (~Y=f(g(Y))|sk0_0=Y)))|(sk0_1=g(f(sk0_1))&(![Y]: (~Y=g(f(Y))|sk0_1=Y))))&((![X]: (~X=f(g(X))|(sk0_2(X)=f(g(sk0_2(X)))&~X=sk0_2(X))))|(![X]: (~X=g(f(X))|(sk0_3(X)=g(f(sk0_3(X)))&~X=sk0_3(X)))))),
% 0.07/0.27 inference(skolemization,[status(esa)],[f4])).
% 0.07/0.27 fof(f6,plain,(
% 0.07/0.27 sk0_0=f(g(sk0_0))|sk0_1=g(f(sk0_1))),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f5])).
% 0.07/0.27 fof(f7,plain,(
% 0.07/0.27 ![X0]: (sk0_0=f(g(sk0_0))|~X0=g(f(X0))|sk0_1=X0)),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f5])).
% 0.07/0.27 fof(f8,plain,(
% 0.07/0.27 ![X0]: (~X0=f(g(X0))|sk0_0=X0|sk0_1=g(f(sk0_1)))),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f5])).
% 0.07/0.27 fof(f9,plain,(
% 0.07/0.27 ![X0,X1]: (~X0=f(g(X0))|sk0_0=X0|~X1=g(f(X1))|sk0_1=X1)),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f5])).
% 0.07/0.27 fof(f10,plain,(
% 0.07/0.27 ![X0,X1]: (~X0=f(g(X0))|sk0_2(X0)=f(g(sk0_2(X0)))|~X1=g(f(X1))|sk0_3(X1)=g(f(sk0_3(X1))))),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f5])).
% 0.07/0.27 fof(f11,plain,(
% 0.07/0.27 ![X0,X1]: (~X0=f(g(X0))|sk0_2(X0)=f(g(sk0_2(X0)))|~X1=g(f(X1))|~X1=sk0_3(X1))),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f5])).
% 0.07/0.27 fof(f12,plain,(
% 0.07/0.27 ![X0,X1]: (~X0=f(g(X0))|~X0=sk0_2(X0)|~X1=g(f(X1))|sk0_3(X1)=g(f(sk0_3(X1))))),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f5])).
% 0.07/0.27 fof(f13,plain,(
% 0.07/0.27 ![X0,X1]: (~X0=f(g(X0))|~X0=sk0_2(X0)|~X1=g(f(X1))|~X1=sk0_3(X1))),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f5])).
% 0.07/0.27 fof(f14,plain,(
% 0.07/0.27 spl0_0 <=> sk0_0=f(g(sk0_0))),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f15,plain,(
% 0.07/0.27 sk0_0=f(g(sk0_0))|~spl0_0),
% 0.07/0.27 inference(component_clause,[status(thm)],[f14])).
% 0.07/0.27 fof(f16,plain,(
% 0.07/0.27 ~sk0_0=f(g(sk0_0))|spl0_0),
% 0.07/0.27 inference(component_clause,[status(thm)],[f14])).
% 0.07/0.27 fof(f17,plain,(
% 0.07/0.27 spl0_1 <=> sk0_1=g(f(sk0_1))),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f18,plain,(
% 0.07/0.27 sk0_1=g(f(sk0_1))|~spl0_1),
% 0.07/0.27 inference(component_clause,[status(thm)],[f17])).
% 0.07/0.27 fof(f20,plain,(
% 0.07/0.27 spl0_0|spl0_1),
% 0.07/0.27 inference(split_clause,[status(thm)],[f6,f14,f17])).
% 0.07/0.27 fof(f21,plain,(
% 0.07/0.27 spl0_2 <=> ~X0=g(f(X0))|sk0_1=X0),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f22,plain,(
% 0.07/0.27 ![X0]: (~X0=g(f(X0))|sk0_1=X0|~spl0_2)),
% 0.07/0.27 inference(component_clause,[status(thm)],[f21])).
% 0.07/0.27 fof(f24,plain,(
% 0.07/0.27 spl0_0|spl0_2),
% 0.07/0.27 inference(split_clause,[status(thm)],[f7,f14,f21])).
% 0.07/0.27 fof(f25,plain,(
% 0.07/0.27 spl0_3 <=> ~X0=f(g(X0))|sk0_0=X0),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f26,plain,(
% 0.07/0.27 ![X0]: (~X0=f(g(X0))|sk0_0=X0|~spl0_3)),
% 0.07/0.27 inference(component_clause,[status(thm)],[f25])).
% 0.07/0.27 fof(f28,plain,(
% 0.07/0.27 spl0_3|spl0_1),
% 0.07/0.27 inference(split_clause,[status(thm)],[f8,f25,f17])).
% 0.07/0.27 fof(f29,plain,(
% 0.07/0.27 spl0_3|spl0_2),
% 0.07/0.27 inference(split_clause,[status(thm)],[f9,f25,f21])).
% 0.07/0.27 fof(f30,plain,(
% 0.07/0.27 spl0_4 <=> ~X0=f(g(X0))|sk0_2(X0)=f(g(sk0_2(X0)))),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f31,plain,(
% 0.07/0.27 ![X0]: (~X0=f(g(X0))|sk0_2(X0)=f(g(sk0_2(X0)))|~spl0_4)),
% 0.07/0.27 inference(component_clause,[status(thm)],[f30])).
% 0.07/0.27 fof(f33,plain,(
% 0.07/0.27 spl0_5 <=> ~X1=g(f(X1))|sk0_3(X1)=g(f(sk0_3(X1)))),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f34,plain,(
% 0.07/0.27 ![X0]: (~X0=g(f(X0))|sk0_3(X0)=g(f(sk0_3(X0)))|~spl0_5)),
% 0.07/0.27 inference(component_clause,[status(thm)],[f33])).
% 0.07/0.27 fof(f36,plain,(
% 0.07/0.27 spl0_4|spl0_5),
% 0.07/0.27 inference(split_clause,[status(thm)],[f10,f30,f33])).
% 0.07/0.27 fof(f37,plain,(
% 0.07/0.27 spl0_6 <=> ~X1=g(f(X1))|~X1=sk0_3(X1)),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f38,plain,(
% 0.07/0.27 ![X0]: (~X0=g(f(X0))|~X0=sk0_3(X0)|~spl0_6)),
% 0.07/0.27 inference(component_clause,[status(thm)],[f37])).
% 0.07/0.27 fof(f40,plain,(
% 0.07/0.27 spl0_4|spl0_6),
% 0.07/0.27 inference(split_clause,[status(thm)],[f11,f30,f37])).
% 0.07/0.27 fof(f41,plain,(
% 0.07/0.27 spl0_7 <=> ~X0=f(g(X0))|~X0=sk0_2(X0)),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f42,plain,(
% 0.07/0.27 ![X0]: (~X0=f(g(X0))|~X0=sk0_2(X0)|~spl0_7)),
% 0.07/0.27 inference(component_clause,[status(thm)],[f41])).
% 0.07/0.27 fof(f44,plain,(
% 0.07/0.27 spl0_7|spl0_5),
% 0.07/0.27 inference(split_clause,[status(thm)],[f12,f41,f33])).
% 0.07/0.27 fof(f45,plain,(
% 0.07/0.27 spl0_7|spl0_6),
% 0.07/0.27 inference(split_clause,[status(thm)],[f13,f41,f37])).
% 0.07/0.27 fof(f46,plain,(
% 0.07/0.27 spl0_8 <=> sk0_0=sk0_0),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f48,plain,(
% 0.07/0.27 ~sk0_0=sk0_0|spl0_8),
% 0.07/0.27 inference(component_clause,[status(thm)],[f46])).
% 0.07/0.27 fof(f52,plain,(
% 0.07/0.27 spl0_9 <=> sk0_0=sk0_2(sk0_0)),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f54,plain,(
% 0.07/0.27 ~sk0_0=sk0_2(sk0_0)|spl0_9),
% 0.07/0.27 inference(component_clause,[status(thm)],[f52])).
% 0.07/0.27 fof(f55,plain,(
% 0.07/0.27 ~sk0_0=sk0_0|~sk0_0=sk0_2(sk0_0)|~spl0_7|~spl0_0),
% 0.07/0.27 inference(paramodulation,[status(thm)],[f15,f42])).
% 0.07/0.27 fof(f56,plain,(
% 0.07/0.27 ~spl0_8|~spl0_9|~spl0_7|~spl0_0),
% 0.07/0.27 inference(split_clause,[status(thm)],[f55,f46,f52,f41,f14])).
% 0.07/0.27 fof(f57,plain,(
% 0.07/0.27 spl0_10 <=> f(sk0_1)=f(sk0_1)),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f59,plain,(
% 0.07/0.27 ~f(sk0_1)=f(sk0_1)|spl0_10),
% 0.07/0.27 inference(component_clause,[status(thm)],[f57])).
% 0.07/0.27 fof(f60,plain,(
% 0.07/0.27 spl0_11 <=> sk0_0=f(sk0_1)),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f61,plain,(
% 0.07/0.27 sk0_0=f(sk0_1)|~spl0_11),
% 0.07/0.27 inference(component_clause,[status(thm)],[f60])).
% 0.07/0.27 fof(f63,plain,(
% 0.07/0.27 ~f(sk0_1)=f(sk0_1)|sk0_0=f(sk0_1)|~spl0_3|~spl0_1),
% 0.07/0.27 inference(paramodulation,[status(thm)],[f18,f26])).
% 0.07/0.27 fof(f64,plain,(
% 0.07/0.27 ~spl0_10|spl0_11|~spl0_3|~spl0_1),
% 0.07/0.27 inference(split_clause,[status(thm)],[f63,f57,f60,f25,f17])).
% 0.07/0.27 fof(f65,plain,(
% 0.07/0.27 $false|spl0_10),
% 0.07/0.27 inference(equality_resolution,[status(esa)],[f59])).
% 0.07/0.27 fof(f66,plain,(
% 0.07/0.27 spl0_10),
% 0.07/0.27 inference(contradiction_clause,[status(thm)],[f65])).
% 0.07/0.27 fof(f67,plain,(
% 0.07/0.27 spl0_12 <=> sk0_1=g(sk0_0)),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f68,plain,(
% 0.07/0.27 sk0_1=g(sk0_0)|~spl0_12),
% 0.07/0.27 inference(component_clause,[status(thm)],[f67])).
% 0.07/0.27 fof(f69,plain,(
% 0.07/0.27 ~sk0_1=g(sk0_0)|spl0_12),
% 0.07/0.27 inference(component_clause,[status(thm)],[f67])).
% 0.07/0.27 fof(f70,plain,(
% 0.07/0.27 spl0_13 <=> sk0_3(sk0_1)=g(f(sk0_3(sk0_1)))),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f71,plain,(
% 0.07/0.27 sk0_3(sk0_1)=g(f(sk0_3(sk0_1)))|~spl0_13),
% 0.07/0.27 inference(component_clause,[status(thm)],[f70])).
% 0.07/0.27 fof(f75,plain,(
% 0.07/0.27 $false|spl0_8),
% 0.07/0.27 inference(equality_resolution,[status(esa)],[f48])).
% 0.07/0.27 fof(f76,plain,(
% 0.07/0.27 spl0_8),
% 0.07/0.27 inference(contradiction_clause,[status(thm)],[f75])).
% 0.07/0.27 fof(f82,plain,(
% 0.07/0.27 sk0_2(sk0_0)=f(g(sk0_2(sk0_0)))|~spl0_4|~spl0_0),
% 0.07/0.27 inference(resolution,[status(thm)],[f31,f15])).
% 0.07/0.27 fof(f83,plain,(
% 0.07/0.27 spl0_14 <=> sk0_2(sk0_0)=f(g(sk0_2(sk0_0)))),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f84,plain,(
% 0.07/0.27 sk0_2(sk0_0)=f(g(sk0_2(sk0_0)))|~spl0_14),
% 0.07/0.27 inference(component_clause,[status(thm)],[f83])).
% 0.07/0.27 fof(f86,plain,(
% 0.07/0.27 ~sk0_0=sk0_0|sk0_2(sk0_0)=f(g(sk0_2(sk0_0)))|~spl0_4|~spl0_0),
% 0.07/0.27 inference(paramodulation,[status(thm)],[f15,f31])).
% 0.07/0.27 fof(f87,plain,(
% 0.07/0.27 ~spl0_8|spl0_14|~spl0_4|~spl0_0),
% 0.07/0.27 inference(split_clause,[status(thm)],[f86,f46,f83,f30,f14])).
% 0.07/0.27 fof(f90,plain,(
% 0.07/0.27 sk0_0=sk0_2(sk0_0)|~spl0_4|~spl0_0|~spl0_3),
% 0.07/0.27 inference(resolution,[status(thm)],[f82,f26])).
% 0.07/0.27 fof(f93,plain,(
% 0.07/0.27 spl0_15 <=> sk0_1=sk0_1),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f95,plain,(
% 0.07/0.27 ~sk0_1=sk0_1|spl0_15),
% 0.07/0.27 inference(component_clause,[status(thm)],[f93])).
% 0.07/0.27 fof(f98,plain,(
% 0.07/0.27 spl0_16 <=> sk0_1=sk0_3(sk0_1)),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f100,plain,(
% 0.07/0.27 ~sk0_1=sk0_3(sk0_1)|spl0_16),
% 0.07/0.27 inference(component_clause,[status(thm)],[f98])).
% 0.07/0.27 fof(f103,plain,(
% 0.07/0.27 sk0_1=g(sk0_0)|~spl0_1|~spl0_11),
% 0.07/0.27 inference(paramodulation,[status(thm)],[f61,f18])).
% 0.07/0.27 fof(f104,plain,(
% 0.07/0.27 $false|spl0_12|~spl0_1|~spl0_11),
% 0.07/0.27 inference(forward_subsumption_resolution,[status(thm)],[f103,f69])).
% 0.07/0.27 fof(f105,plain,(
% 0.07/0.27 spl0_12|~spl0_1|~spl0_11),
% 0.07/0.27 inference(contradiction_clause,[status(thm)],[f104])).
% 0.07/0.27 fof(f106,plain,(
% 0.07/0.27 spl0_17 <=> g(sk0_0)=g(sk0_0)),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f108,plain,(
% 0.07/0.27 ~g(sk0_0)=g(sk0_0)|spl0_17),
% 0.07/0.27 inference(component_clause,[status(thm)],[f106])).
% 0.07/0.27 fof(f109,plain,(
% 0.07/0.27 spl0_18 <=> g(sk0_0)=sk0_3(g(sk0_0))),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f111,plain,(
% 0.07/0.27 ~g(sk0_0)=sk0_3(g(sk0_0))|spl0_18),
% 0.07/0.27 inference(component_clause,[status(thm)],[f109])).
% 0.07/0.27 fof(f112,plain,(
% 0.07/0.27 ~g(sk0_0)=g(sk0_0)|~g(sk0_0)=sk0_3(g(sk0_0))|~spl0_6|~spl0_0),
% 0.07/0.27 inference(paramodulation,[status(thm)],[f15,f38])).
% 0.07/0.27 fof(f113,plain,(
% 0.07/0.27 ~spl0_17|~spl0_18|~spl0_6|~spl0_0),
% 0.07/0.27 inference(split_clause,[status(thm)],[f112,f106,f109,f37,f14])).
% 0.07/0.27 fof(f116,plain,(
% 0.07/0.27 ~sk0_0=f(sk0_1)|spl0_0|~spl0_1|~spl0_11),
% 0.07/0.27 inference(paramodulation,[status(thm)],[f103,f16])).
% 0.07/0.27 fof(f117,plain,(
% 0.07/0.27 $false|spl0_0|~spl0_1|~spl0_11),
% 0.07/0.27 inference(forward_subsumption_resolution,[status(thm)],[f116,f61])).
% 0.07/0.27 fof(f118,plain,(
% 0.07/0.27 spl0_0|~spl0_1|~spl0_11),
% 0.07/0.27 inference(contradiction_clause,[status(thm)],[f117])).
% 0.07/0.27 fof(f121,plain,(
% 0.07/0.27 spl0_19 <=> f(sk0_1)=sk0_2(f(sk0_1))),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f123,plain,(
% 0.07/0.27 ~f(sk0_1)=sk0_2(f(sk0_1))|spl0_19),
% 0.07/0.27 inference(component_clause,[status(thm)],[f121])).
% 0.07/0.27 fof(f124,plain,(
% 0.07/0.27 ~f(sk0_1)=f(sk0_1)|~f(sk0_1)=sk0_2(f(sk0_1))|~spl0_7|~spl0_1),
% 0.07/0.27 inference(paramodulation,[status(thm)],[f18,f42])).
% 0.07/0.27 fof(f125,plain,(
% 0.07/0.27 ~spl0_10|~spl0_19|~spl0_7|~spl0_1),
% 0.07/0.27 inference(split_clause,[status(thm)],[f124,f57,f121,f41,f17])).
% 0.07/0.27 fof(f127,plain,(
% 0.07/0.27 ~sk0_1=sk0_1|sk0_3(sk0_1)=g(f(sk0_3(sk0_1)))|~spl0_5|~spl0_1),
% 0.07/0.27 inference(paramodulation,[status(thm)],[f18,f34])).
% 0.07/0.27 fof(f128,plain,(
% 0.07/0.27 ~spl0_15|spl0_13|~spl0_5|~spl0_1),
% 0.07/0.27 inference(split_clause,[status(thm)],[f127,f93,f70,f33,f17])).
% 0.07/0.27 fof(f129,plain,(
% 0.07/0.27 spl0_20 <=> sk0_2(f(sk0_1))=f(g(sk0_2(f(sk0_1))))),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f130,plain,(
% 0.07/0.27 sk0_2(f(sk0_1))=f(g(sk0_2(f(sk0_1))))|~spl0_20),
% 0.07/0.27 inference(component_clause,[status(thm)],[f129])).
% 0.07/0.27 fof(f132,plain,(
% 0.07/0.27 ~f(sk0_1)=f(sk0_1)|sk0_2(f(sk0_1))=f(g(sk0_2(f(sk0_1))))|~spl0_4|~spl0_1),
% 0.07/0.27 inference(paramodulation,[status(thm)],[f18,f31])).
% 0.07/0.27 fof(f133,plain,(
% 0.07/0.27 ~spl0_10|spl0_20|~spl0_4|~spl0_1),
% 0.07/0.27 inference(split_clause,[status(thm)],[f132,f57,f129,f30,f17])).
% 0.07/0.27 fof(f134,plain,(
% 0.07/0.27 $false|spl0_17),
% 0.07/0.27 inference(equality_resolution,[status(esa)],[f108])).
% 0.07/0.27 fof(f135,plain,(
% 0.07/0.27 spl0_17),
% 0.07/0.27 inference(contradiction_clause,[status(thm)],[f134])).
% 0.07/0.27 fof(f136,plain,(
% 0.07/0.27 sk0_1=sk0_3(sk0_1)|~spl0_13|~spl0_2),
% 0.07/0.27 inference(resolution,[status(thm)],[f71,f22])).
% 0.07/0.27 fof(f137,plain,(
% 0.07/0.27 $false|spl0_16|~spl0_13|~spl0_2),
% 0.07/0.27 inference(forward_subsumption_resolution,[status(thm)],[f136,f100])).
% 0.07/0.27 fof(f138,plain,(
% 0.07/0.27 spl0_16|~spl0_13|~spl0_2),
% 0.07/0.27 inference(contradiction_clause,[status(thm)],[f137])).
% 0.07/0.27 fof(f139,plain,(
% 0.07/0.27 $false|spl0_15),
% 0.07/0.27 inference(equality_resolution,[status(esa)],[f95])).
% 0.07/0.27 fof(f140,plain,(
% 0.07/0.27 spl0_15),
% 0.07/0.27 inference(contradiction_clause,[status(thm)],[f139])).
% 0.07/0.27 fof(f143,plain,(
% 0.07/0.27 spl0_21 <=> sk0_2(f(sk0_1))=sk0_2(f(sk0_1))),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f145,plain,(
% 0.07/0.27 ~sk0_2(f(sk0_1))=sk0_2(f(sk0_1))|spl0_21),
% 0.07/0.27 inference(component_clause,[status(thm)],[f143])).
% 0.07/0.27 fof(f156,plain,(
% 0.07/0.27 spl0_24 <=> g(sk0_2(f(sk0_1)))=g(sk0_2(f(sk0_1)))),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f158,plain,(
% 0.07/0.27 ~g(sk0_2(f(sk0_1)))=g(sk0_2(f(sk0_1)))|spl0_24),
% 0.07/0.27 inference(component_clause,[status(thm)],[f156])).
% 0.07/0.27 fof(f159,plain,(
% 0.07/0.27 spl0_25 <=> sk0_1=g(sk0_2(f(sk0_1)))),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f160,plain,(
% 0.07/0.27 sk0_1=g(sk0_2(f(sk0_1)))|~spl0_25),
% 0.07/0.27 inference(component_clause,[status(thm)],[f159])).
% 0.07/0.27 fof(f162,plain,(
% 0.07/0.27 ~g(sk0_2(f(sk0_1)))=g(sk0_2(f(sk0_1)))|sk0_1=g(sk0_2(f(sk0_1)))|~spl0_2|~spl0_20),
% 0.07/0.27 inference(paramodulation,[status(thm)],[f130,f22])).
% 0.07/0.27 fof(f163,plain,(
% 0.07/0.27 ~spl0_24|spl0_25|~spl0_2|~spl0_20),
% 0.07/0.27 inference(split_clause,[status(thm)],[f162,f156,f159,f21,f129])).
% 0.07/0.27 fof(f166,plain,(
% 0.07/0.27 spl0_26 <=> sk0_2(sk0_2(f(sk0_1)))=sk0_2(sk0_2(f(sk0_1)))),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f168,plain,(
% 0.07/0.27 ~sk0_2(sk0_2(f(sk0_1)))=sk0_2(sk0_2(f(sk0_1)))|spl0_26),
% 0.07/0.27 inference(component_clause,[status(thm)],[f166])).
% 0.07/0.27 fof(f187,plain,(
% 0.07/0.27 $false|spl0_21),
% 0.07/0.27 inference(equality_resolution,[status(esa)],[f145])).
% 0.07/0.27 fof(f188,plain,(
% 0.07/0.27 spl0_21),
% 0.07/0.27 inference(contradiction_clause,[status(thm)],[f187])).
% 0.07/0.27 fof(f189,plain,(
% 0.07/0.27 $false|spl0_24),
% 0.07/0.27 inference(equality_resolution,[status(esa)],[f158])).
% 0.07/0.27 fof(f190,plain,(
% 0.07/0.27 spl0_24),
% 0.07/0.27 inference(contradiction_clause,[status(thm)],[f189])).
% 0.07/0.27 fof(f191,plain,(
% 0.07/0.27 sk0_2(f(sk0_1))=f(sk0_1)|~spl0_20|~spl0_25),
% 0.07/0.27 inference(paramodulation,[status(thm)],[f160,f130])).
% 0.07/0.27 fof(f192,plain,(
% 0.07/0.27 $false|spl0_19|~spl0_20|~spl0_25),
% 0.07/0.27 inference(forward_subsumption_resolution,[status(thm)],[f191,f123])).
% 0.07/0.27 fof(f193,plain,(
% 0.07/0.27 spl0_19|~spl0_20|~spl0_25),
% 0.07/0.27 inference(contradiction_clause,[status(thm)],[f192])).
% 0.07/0.27 fof(f196,plain,(
% 0.07/0.27 spl0_31 <=> sk0_3(sk0_1)=sk0_3(sk0_1)),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f198,plain,(
% 0.07/0.27 ~sk0_3(sk0_1)=sk0_3(sk0_1)|spl0_31),
% 0.07/0.27 inference(component_clause,[status(thm)],[f196])).
% 0.07/0.28 fof(f201,plain,(
% 0.07/0.28 spl0_32 <=> f(sk0_3(sk0_1))=f(sk0_3(sk0_1))),
% 0.07/0.28 introduced(split_symbol_definition)).
% 0.07/0.28 fof(f203,plain,(
% 0.07/0.28 ~f(sk0_3(sk0_1))=f(sk0_3(sk0_1))|spl0_32),
% 0.07/0.28 inference(component_clause,[status(thm)],[f201])).
% 0.07/0.28 fof(f211,plain,(
% 0.07/0.28 ~sk0_1=sk0_3(sk0_1)|~spl0_1|~spl0_6),
% 0.07/0.28 inference(resolution,[status(thm)],[f18,f38])).
% 0.07/0.28 fof(f212,plain,(
% 0.07/0.28 ~spl0_16|~spl0_1|~spl0_6),
% 0.07/0.28 inference(split_clause,[status(thm)],[f211,f98,f17,f37])).
% 0.07/0.28 fof(f213,plain,(
% 0.07/0.28 spl0_34 <=> sk0_2(sk0_0)=sk0_2(sk0_0)),
% 0.07/0.28 introduced(split_symbol_definition)).
% 0.07/0.28 fof(f215,plain,(
% 0.07/0.28 ~sk0_2(sk0_0)=sk0_2(sk0_0)|spl0_34),
% 0.07/0.28 inference(component_clause,[status(thm)],[f213])).
% 0.07/0.28 fof(f223,plain,(
% 0.07/0.28 $false|spl0_9|~spl0_4|~spl0_0|~spl0_3),
% 0.07/0.28 inference(forward_subsumption_resolution,[status(thm)],[f90,f54])).
% 0.07/0.28 fof(f224,plain,(
% 0.07/0.28 spl0_9|~spl0_4|~spl0_0|~spl0_3),
% 0.07/0.28 inference(contradiction_clause,[status(thm)],[f223])).
% 0.07/0.28 fof(f225,plain,(
% 0.07/0.28 $false|spl0_31),
% 0.07/0.28 inference(equality_resolution,[status(esa)],[f198])).
% 0.07/0.28 fof(f226,plain,(
% 0.07/0.28 spl0_31),
% 0.07/0.28 inference(contradiction_clause,[status(thm)],[f225])).
% 0.07/0.28 fof(f229,plain,(
% 0.07/0.28 spl0_36 <=> sk0_3(g(sk0_0))=g(f(sk0_3(g(sk0_0))))),
% 0.07/0.28 introduced(split_symbol_definition)).
% 0.07/0.28 fof(f230,plain,(
% 0.07/0.28 sk0_3(g(sk0_0))=g(f(sk0_3(g(sk0_0))))|~spl0_36),
% 0.07/0.28 inference(component_clause,[status(thm)],[f229])).
% 0.07/0.28 fof(f232,plain,(
% 0.07/0.28 ~g(sk0_0)=g(sk0_0)|sk0_3(g(sk0_0))=g(f(sk0_3(g(sk0_0))))|~spl0_5|~spl0_0),
% 0.07/0.28 inference(paramodulation,[status(thm)],[f15,f34])).
% 0.07/0.28 fof(f233,plain,(
% 0.07/0.28 ~spl0_17|spl0_36|~spl0_5|~spl0_0),
% 0.07/0.28 inference(split_clause,[status(thm)],[f232,f106,f229,f33,f14])).
% 0.07/0.28 fof(f236,plain,(
% 0.07/0.28 $false|spl0_34),
% 0.07/0.28 inference(equality_resolution,[status(esa)],[f215])).
% 0.07/0.28 fof(f237,plain,(
% 0.07/0.28 spl0_34),
% 0.07/0.28 inference(contradiction_clause,[status(thm)],[f236])).
% 0.07/0.28 fof(f240,plain,(
% 0.07/0.28 $false|spl0_32),
% 0.07/0.28 inference(equality_resolution,[status(esa)],[f203])).
% 0.07/0.28 fof(f241,plain,(
% 0.07/0.28 spl0_32),
% 0.07/0.28 inference(contradiction_clause,[status(thm)],[f240])).
% 0.07/0.28 fof(f243,plain,(
% 0.07/0.28 ~sk0_2(sk0_0)=sk0_2(sk0_0)|sk0_0=sk0_2(sk0_0)|~spl0_3|~spl0_14),
% 0.07/0.28 inference(paramodulation,[status(thm)],[f84,f26])).
% 0.07/0.28 fof(f244,plain,(
% 0.07/0.28 ~spl0_34|spl0_9|~spl0_3|~spl0_14),
% 0.07/0.28 inference(split_clause,[status(thm)],[f243,f213,f52,f25,f83])).
% 0.07/0.28 fof(f245,plain,(
% 0.07/0.28 spl0_37 <=> g(sk0_2(sk0_0))=g(sk0_2(sk0_0))),
% 0.07/0.28 introduced(split_symbol_definition)).
% 0.07/0.28 fof(f247,plain,(
% 0.07/0.28 ~g(sk0_2(sk0_0))=g(sk0_2(sk0_0))|spl0_37),
% 0.07/0.28 inference(component_clause,[status(thm)],[f245])).
% 0.07/0.28 fof(f274,plain,(
% 0.07/0.28 spl0_43 <=> sk0_3(sk0_3(sk0_1))=g(f(sk0_3(sk0_3(sk0_1))))),
% 0.07/0.28 introduced(split_symbol_definition)).
% 0.07/0.28 fof(f277,plain,(
% 0.07/0.28 ~sk0_3(sk0_1)=sk0_3(sk0_1)|sk0_3(sk0_3(sk0_1))=g(f(sk0_3(sk0_3(sk0_1))))|~spl0_5|~spl0_13),
% 0.07/0.28 inference(paramodulation,[status(thm)],[f71,f34])).
% 0.07/0.28 fof(f278,plain,(
% 0.07/0.28 ~spl0_31|spl0_43|~spl0_5|~spl0_13),
% 0.07/0.28 inference(split_clause,[status(thm)],[f277,f196,f274,f33,f70])).
% 0.07/0.28 fof(f279,plain,(
% 0.07/0.28 spl0_44 <=> sk0_0=f(sk0_3(sk0_1))),
% 0.07/0.28 introduced(split_symbol_definition)).
% 0.07/0.28 fof(f280,plain,(
% 0.07/0.28 sk0_0=f(sk0_3(sk0_1))|~spl0_44),
% 0.07/0.28 inference(component_clause,[status(thm)],[f279])).
% 0.07/0.28 fof(f282,plain,(
% 0.07/0.28 ~f(sk0_3(sk0_1))=f(sk0_3(sk0_1))|sk0_0=f(sk0_3(sk0_1))|~spl0_3|~spl0_13),
% 0.07/0.28 inference(paramodulation,[status(thm)],[f71,f26])).
% 0.07/0.28 fof(f283,plain,(
% 0.07/0.28 ~spl0_32|spl0_44|~spl0_3|~spl0_13),
% 0.07/0.28 inference(split_clause,[status(thm)],[f282,f201,f279,f25,f70])).
% 0.07/0.28 fof(f285,plain,(
% 0.07/0.28 sk0_3(sk0_1)=g(sk0_0)|~spl0_13|~spl0_44),
% 0.07/0.28 inference(paramodulation,[status(thm)],[f280,f71])).
% 0.07/0.28 fof(f286,plain,(
% 0.07/0.28 spl0_45 <=> sk0_3(sk0_1)=g(sk0_0)),
% 0.07/0.28 introduced(split_symbol_definition)).
% 0.07/0.28 fof(f288,plain,(
% 0.07/0.28 ~sk0_3(sk0_1)=g(sk0_0)|spl0_45),
% 0.07/0.28 inference(component_clause,[status(thm)],[f286])).
% 0.07/0.28 fof(f293,plain,(
% 0.07/0.28 $false|~spl0_13|~spl0_44|spl0_45),
% 0.07/0.28 inference(forward_subsumption_resolution,[status(thm)],[f288,f285])).
% 0.07/0.28 fof(f294,plain,(
% 0.07/0.28 ~spl0_13|~spl0_44|spl0_45),
% 0.07/0.28 inference(contradiction_clause,[status(thm)],[f293])).
% 0.07/0.28 fof(f307,plain,(
% 0.07/0.28 ~g(sk0_0)=sk0_3(sk0_1)|spl0_18|~spl0_12),
% 0.07/0.28 inference(paramodulation,[status(thm)],[f68,f111])).
% 0.07/0.28 fof(f308,plain,(
% 0.07/0.28 ~spl0_45|spl0_18|~spl0_12),
% 0.07/0.28 inference(split_clause,[status(thm)],[f307,f286,f109,f67])).
% 0.07/0.28 fof(f313,plain,(
% 0.07/0.28 spl0_46 <=> sk0_3(g(sk0_0))=sk0_3(g(sk0_0))),
% 0.07/0.28 introduced(split_symbol_definition)).
% 0.07/0.28 fof(f315,plain,(
% 0.07/0.28 ~sk0_3(g(sk0_0))=sk0_3(g(sk0_0))|spl0_46),
% 0.07/0.28 inference(component_clause,[status(thm)],[f313])).
% 0.07/0.28 fof(f326,plain,(
% 0.07/0.28 spl0_49 <=> f(sk0_3(g(sk0_0)))=f(sk0_3(g(sk0_0)))),
% 0.07/0.28 introduced(split_symbol_definition)).
% 0.07/0.28 fof(f328,plain,(
% 0.07/0.28 ~f(sk0_3(g(sk0_0)))=f(sk0_3(g(sk0_0)))|spl0_49),
% 0.07/0.28 inference(component_clause,[status(thm)],[f326])).
% 0.07/0.28 fof(f329,plain,(
% 0.07/0.28 spl0_50 <=> sk0_0=f(sk0_3(g(sk0_0)))),
% 0.07/0.28 introduced(split_symbol_definition)).
% 0.07/0.28 fof(f330,plain,(
% 0.07/0.28 sk0_0=f(sk0_3(g(sk0_0)))|~spl0_50),
% 0.07/0.28 inference(component_clause,[status(thm)],[f329])).
% 0.07/0.28 fof(f332,plain,(
% 0.07/0.28 ~f(sk0_3(g(sk0_0)))=f(sk0_3(g(sk0_0)))|sk0_0=f(sk0_3(g(sk0_0)))|~spl0_3|~spl0_36),
% 0.07/0.28 inference(paramodulation,[status(thm)],[f230,f26])).
% 0.07/0.28 fof(f333,plain,(
% 0.07/0.28 ~spl0_49|spl0_50|~spl0_3|~spl0_36),
% 0.07/0.28 inference(split_clause,[status(thm)],[f332,f326,f329,f25,f229])).
% 0.07/0.28 fof(f335,plain,(
% 0.07/0.28 sk0_3(g(sk0_0))=g(sk0_0)|~spl0_36|~spl0_50),
% 0.07/0.28 inference(paramodulation,[status(thm)],[f330,f230])).
% 0.07/0.28 fof(f336,plain,(
% 0.07/0.28 $false|spl0_18|~spl0_36|~spl0_50),
% 0.07/0.28 inference(forward_subsumption_resolution,[status(thm)],[f335,f111])).
% 0.07/0.28 fof(f337,plain,(
% 0.07/0.28 spl0_18|~spl0_36|~spl0_50),
% 0.07/0.28 inference(contradiction_clause,[status(thm)],[f336])).
% 0.07/0.28 fof(f339,plain,(
% 0.07/0.28 $false|spl0_37),
% 0.07/0.28 inference(equality_resolution,[status(esa)],[f247])).
% 0.07/0.28 fof(f340,plain,(
% 0.07/0.28 spl0_37),
% 0.07/0.28 inference(contradiction_clause,[status(thm)],[f339])).
% 0.07/0.28 fof(f352,plain,(
% 0.07/0.28 $false|spl0_46),
% 0.07/0.28 inference(equality_resolution,[status(esa)],[f315])).
% 0.07/0.28 fof(f353,plain,(
% 0.07/0.28 spl0_46),
% 0.07/0.28 inference(contradiction_clause,[status(thm)],[f352])).
% 0.07/0.28 fof(f368,plain,(
% 0.07/0.28 spl0_54 <=> sk0_2(sk0_2(sk0_0))=sk0_2(sk0_2(sk0_0))),
% 0.07/0.28 introduced(split_symbol_definition)).
% 0.07/0.28 fof(f370,plain,(
% 0.07/0.28 ~sk0_2(sk0_2(sk0_0))=sk0_2(sk0_2(sk0_0))|spl0_54),
% 0.07/0.28 inference(component_clause,[status(thm)],[f368])).
% 0.07/0.28 fof(f389,plain,(
% 0.07/0.28 $false|spl0_54),
% 0.07/0.28 inference(equality_resolution,[status(esa)],[f370])).
% 0.07/0.28 fof(f390,plain,(
% 0.07/0.28 spl0_54),
% 0.07/0.28 inference(contradiction_clause,[status(thm)],[f389])).
% 0.07/0.28 fof(f391,plain,(
% 0.07/0.28 $false|spl0_26),
% 0.07/0.28 inference(equality_resolution,[status(esa)],[f168])).
% 0.07/0.28 fof(f392,plain,(
% 0.07/0.28 spl0_26),
% 0.07/0.28 inference(contradiction_clause,[status(thm)],[f391])).
% 0.07/0.28 fof(f393,plain,(
% 0.07/0.28 $false|spl0_49),
% 0.07/0.28 inference(equality_resolution,[status(esa)],[f328])).
% 0.07/0.28 fof(f394,plain,(
% 0.07/0.28 spl0_49),
% 0.07/0.28 inference(contradiction_clause,[status(thm)],[f393])).
% 0.07/0.28 fof(f395,plain,(
% 0.07/0.28 $false),
% 0.07/0.28 inference(sat_refutation,[status(thm)],[f20,f24,f28,f29,f36,f40,f44,f45,f56,f64,f66,f76,f87,f105,f113,f118,f125,f128,f133,f135,f138,f140,f163,f188,f190,f193,f212,f224,f226,f233,f237,f241,f244,f278,f283,f294,f308,f333,f337,f340,f353,f390,f392,f394])).
% 0.07/0.28 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/0.28 % Elapsed time: 0.015398 seconds
% 0.07/0.28 % CPU time: 0.032830 seconds
% 0.07/0.28 % Memory used: 11.921 MB
%------------------------------------------------------------------------------