TSTP Solution File: SYN417+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n008.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 20:52:10 EDT 2024
% Result : Theorem 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN417+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Apr 29 22:04:12 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Drodi V3.6.0
% 0.12/0.36 % Refutation found
% 0.12/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.36 fof(f1,conjecture,(
% 0.12/0.36 ( (? [X] :( X = f(g(X))& (! [Y] :( Y = f(g(Y))=> X = Y ) )))<=> (? [X] :( X = g(f(X))& (! [Y] :( Y = g(f(Y))=> X = Y ) )) )) ),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f2,negated_conjecture,(
% 0.12/0.36 ~(( (? [X] :( X = f(g(X))& (! [Y] :( Y = f(g(Y))=> X = Y ) )))<=> (? [X] :( X = g(f(X))& (! [Y] :( Y = g(f(Y))=> X = Y ) )) )) )),
% 0.12/0.36 inference(negated_conjecture,[status(cth)],[f1])).
% 0.12/0.36 fof(f3,plain,(
% 0.12/0.36 ((?[X]: (X=f(g(X))&(![Y]: (~Y=f(g(Y))|X=Y))))<~>(?[X]: (X=g(f(X))&(![Y]: (~Y=g(f(Y))|X=Y)))))),
% 0.12/0.36 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.12/0.36 fof(f4,plain,(
% 0.12/0.36 ((?[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)))))),
% 0.12/0.36 inference(NNF_transformation,[status(esa)],[f3])).
% 0.12/0.36 fof(f5,plain,(
% 0.12/0.36 ((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)))))),
% 0.12/0.36 inference(skolemization,[status(esa)],[f4])).
% 0.12/0.36 fof(f6,plain,(
% 0.12/0.36 sk0_0=f(g(sk0_0))|sk0_1=g(f(sk0_1))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f5])).
% 0.12/0.36 fof(f7,plain,(
% 0.12/0.36 ![X0]: (sk0_0=f(g(sk0_0))|~X0=g(f(X0))|sk0_1=X0)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f5])).
% 0.12/0.36 fof(f8,plain,(
% 0.12/0.36 ![X0]: (~X0=f(g(X0))|sk0_0=X0|sk0_1=g(f(sk0_1)))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f5])).
% 0.12/0.36 fof(f9,plain,(
% 0.12/0.36 ![X0,X1]: (~X0=f(g(X0))|sk0_0=X0|~X1=g(f(X1))|sk0_1=X1)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f5])).
% 0.12/0.36 fof(f10,plain,(
% 0.12/0.36 ![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))))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f5])).
% 0.12/0.36 fof(f11,plain,(
% 0.12/0.36 ![X0,X1]: (~X0=f(g(X0))|sk0_2(X0)=f(g(sk0_2(X0)))|~X1=g(f(X1))|~X1=sk0_3(X1))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f5])).
% 0.12/0.36 fof(f12,plain,(
% 0.12/0.36 ![X0,X1]: (~X0=f(g(X0))|~X0=sk0_2(X0)|~X1=g(f(X1))|sk0_3(X1)=g(f(sk0_3(X1))))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f5])).
% 0.12/0.36 fof(f13,plain,(
% 0.12/0.36 ![X0,X1]: (~X0=f(g(X0))|~X0=sk0_2(X0)|~X1=g(f(X1))|~X1=sk0_3(X1))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f5])).
% 0.12/0.36 fof(f14,plain,(
% 0.12/0.36 spl0_0 <=> sk0_0=f(g(sk0_0))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f15,plain,(
% 0.12/0.36 sk0_0=f(g(sk0_0))|~spl0_0),
% 0.12/0.36 inference(component_clause,[status(thm)],[f14])).
% 0.12/0.36 fof(f17,plain,(
% 0.12/0.36 spl0_1 <=> sk0_1=g(f(sk0_1))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f18,plain,(
% 0.12/0.36 sk0_1=g(f(sk0_1))|~spl0_1),
% 0.12/0.36 inference(component_clause,[status(thm)],[f17])).
% 0.12/0.36 fof(f20,plain,(
% 0.12/0.36 spl0_0|spl0_1),
% 0.12/0.36 inference(split_clause,[status(thm)],[f6,f14,f17])).
% 0.12/0.36 fof(f21,plain,(
% 0.12/0.36 spl0_2 <=> ~X0=g(f(X0))|sk0_1=X0),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f22,plain,(
% 0.12/0.36 ![X0]: (~X0=g(f(X0))|sk0_1=X0|~spl0_2)),
% 0.12/0.36 inference(component_clause,[status(thm)],[f21])).
% 0.12/0.36 fof(f24,plain,(
% 0.12/0.36 spl0_0|spl0_2),
% 0.12/0.36 inference(split_clause,[status(thm)],[f7,f14,f21])).
% 0.12/0.36 fof(f25,plain,(
% 0.12/0.36 spl0_3 <=> ~X0=f(g(X0))|sk0_0=X0),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f26,plain,(
% 0.12/0.36 ![X0]: (~X0=f(g(X0))|sk0_0=X0|~spl0_3)),
% 0.12/0.36 inference(component_clause,[status(thm)],[f25])).
% 0.12/0.36 fof(f28,plain,(
% 0.12/0.36 spl0_3|spl0_1),
% 0.12/0.36 inference(split_clause,[status(thm)],[f8,f25,f17])).
% 0.12/0.36 fof(f29,plain,(
% 0.12/0.36 spl0_3|spl0_2),
% 0.12/0.36 inference(split_clause,[status(thm)],[f9,f25,f21])).
% 0.12/0.36 fof(f30,plain,(
% 0.12/0.36 spl0_4 <=> ~X0=f(g(X0))|sk0_2(X0)=f(g(sk0_2(X0)))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f31,plain,(
% 0.12/0.36 ![X0]: (~X0=f(g(X0))|sk0_2(X0)=f(g(sk0_2(X0)))|~spl0_4)),
% 0.12/0.36 inference(component_clause,[status(thm)],[f30])).
% 0.12/0.36 fof(f33,plain,(
% 0.12/0.36 spl0_5 <=> ~X1=g(f(X1))|sk0_3(X1)=g(f(sk0_3(X1)))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f34,plain,(
% 0.12/0.36 ![X0]: (~X0=g(f(X0))|sk0_3(X0)=g(f(sk0_3(X0)))|~spl0_5)),
% 0.12/0.36 inference(component_clause,[status(thm)],[f33])).
% 0.12/0.36 fof(f36,plain,(
% 0.12/0.36 spl0_4|spl0_5),
% 0.12/0.36 inference(split_clause,[status(thm)],[f10,f30,f33])).
% 0.12/0.36 fof(f37,plain,(
% 0.12/0.36 spl0_6 <=> ~X1=g(f(X1))|~X1=sk0_3(X1)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f38,plain,(
% 0.12/0.36 ![X0]: (~X0=g(f(X0))|~X0=sk0_3(X0)|~spl0_6)),
% 0.12/0.36 inference(component_clause,[status(thm)],[f37])).
% 0.12/0.36 fof(f40,plain,(
% 0.12/0.36 spl0_4|spl0_6),
% 0.12/0.36 inference(split_clause,[status(thm)],[f11,f30,f37])).
% 0.12/0.36 fof(f41,plain,(
% 0.12/0.36 spl0_7 <=> ~X0=f(g(X0))|~X0=sk0_2(X0)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f42,plain,(
% 0.12/0.36 ![X0]: (~X0=f(g(X0))|~X0=sk0_2(X0)|~spl0_7)),
% 0.12/0.36 inference(component_clause,[status(thm)],[f41])).
% 0.12/0.36 fof(f44,plain,(
% 0.12/0.36 spl0_7|spl0_5),
% 0.12/0.36 inference(split_clause,[status(thm)],[f12,f41,f33])).
% 0.12/0.36 fof(f45,plain,(
% 0.12/0.36 spl0_7|spl0_6),
% 0.12/0.36 inference(split_clause,[status(thm)],[f13,f41,f37])).
% 0.12/0.36 fof(f46,plain,(
% 0.12/0.36 sk0_2(sk0_0)=f(g(sk0_2(sk0_0)))|~spl0_4|~spl0_0),
% 0.12/0.36 inference(resolution,[status(thm)],[f31,f15])).
% 0.12/0.36 fof(f47,plain,(
% 0.12/0.36 spl0_8 <=> sk0_0=sk0_0),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f49,plain,(
% 0.12/0.36 ~sk0_0=sk0_0|spl0_8),
% 0.12/0.36 inference(component_clause,[status(thm)],[f47])).
% 0.12/0.36 fof(f55,plain,(
% 0.12/0.36 $false|spl0_8),
% 0.12/0.36 inference(trivial_equality_resolution,[status(esa)],[f49])).
% 0.12/0.36 fof(f56,plain,(
% 0.12/0.36 spl0_8),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f55])).
% 0.12/0.36 fof(f58,plain,(
% 0.12/0.36 spl0_10 <=> sk0_1=sk0_1),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f60,plain,(
% 0.12/0.36 ~sk0_1=sk0_1|spl0_10),
% 0.12/0.36 inference(component_clause,[status(thm)],[f58])).
% 0.12/0.36 fof(f61,plain,(
% 0.12/0.36 spl0_11 <=> sk0_3(sk0_1)=g(f(sk0_3(sk0_1)))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f62,plain,(
% 0.12/0.36 sk0_3(sk0_1)=g(f(sk0_3(sk0_1)))|~spl0_11),
% 0.12/0.36 inference(component_clause,[status(thm)],[f61])).
% 0.12/0.36 fof(f64,plain,(
% 0.12/0.36 ~sk0_1=sk0_1|sk0_3(sk0_1)=g(f(sk0_3(sk0_1)))|~spl0_5|~spl0_1),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f18,f34])).
% 0.12/0.36 fof(f65,plain,(
% 0.12/0.36 ~spl0_10|spl0_11|~spl0_5|~spl0_1),
% 0.12/0.36 inference(split_clause,[status(thm)],[f64,f58,f61,f33,f17])).
% 0.12/0.36 fof(f66,plain,(
% 0.12/0.36 spl0_12 <=> g(sk0_2(sk0_0))=g(sk0_2(sk0_0))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f68,plain,(
% 0.12/0.36 ~g(sk0_2(sk0_0))=g(sk0_2(sk0_0))|spl0_12),
% 0.12/0.36 inference(component_clause,[status(thm)],[f66])).
% 0.12/0.36 fof(f74,plain,(
% 0.12/0.36 $false|spl0_12),
% 0.12/0.36 inference(trivial_equality_resolution,[status(esa)],[f68])).
% 0.12/0.36 fof(f75,plain,(
% 0.12/0.36 spl0_12),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f74])).
% 0.12/0.36 fof(f76,plain,(
% 0.12/0.36 $false|spl0_10),
% 0.12/0.36 inference(trivial_equality_resolution,[status(esa)],[f60])).
% 0.12/0.36 fof(f77,plain,(
% 0.12/0.36 spl0_10),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f76])).
% 0.12/0.36 fof(f78,plain,(
% 0.12/0.36 spl0_14 <=> f(sk0_1)=f(sk0_1)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f80,plain,(
% 0.12/0.36 ~f(sk0_1)=f(sk0_1)|spl0_14),
% 0.12/0.36 inference(component_clause,[status(thm)],[f78])).
% 0.12/0.36 fof(f81,plain,(
% 0.12/0.36 spl0_15 <=> f(sk0_1)=sk0_2(f(sk0_1))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f83,plain,(
% 0.12/0.36 ~f(sk0_1)=sk0_2(f(sk0_1))|spl0_15),
% 0.12/0.36 inference(component_clause,[status(thm)],[f81])).
% 0.12/0.36 fof(f84,plain,(
% 0.12/0.36 ~f(sk0_1)=f(sk0_1)|~f(sk0_1)=sk0_2(f(sk0_1))|~spl0_7|~spl0_1),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f18,f42])).
% 0.12/0.36 fof(f85,plain,(
% 0.12/0.36 ~spl0_14|~spl0_15|~spl0_7|~spl0_1),
% 0.12/0.36 inference(split_clause,[status(thm)],[f84,f78,f81,f41,f17])).
% 0.12/0.36 fof(f86,plain,(
% 0.12/0.36 $false|spl0_14),
% 0.12/0.36 inference(trivial_equality_resolution,[status(esa)],[f80])).
% 0.12/0.36 fof(f87,plain,(
% 0.12/0.36 spl0_14),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f86])).
% 0.12/0.36 fof(f88,plain,(
% 0.12/0.36 spl0_16 <=> f(sk0_3(sk0_1))=f(sk0_3(sk0_1))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f90,plain,(
% 0.12/0.36 ~f(sk0_3(sk0_1))=f(sk0_3(sk0_1))|spl0_16),
% 0.12/0.36 inference(component_clause,[status(thm)],[f88])).
% 0.12/0.36 fof(f91,plain,(
% 0.12/0.36 spl0_17 <=> f(sk0_3(sk0_1))=sk0_2(f(sk0_3(sk0_1)))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f94,plain,(
% 0.12/0.36 ~f(sk0_3(sk0_1))=f(sk0_3(sk0_1))|~f(sk0_3(sk0_1))=sk0_2(f(sk0_3(sk0_1)))|~spl0_7|~spl0_11),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f62,f42])).
% 0.12/0.36 fof(f95,plain,(
% 0.12/0.36 ~spl0_16|~spl0_17|~spl0_7|~spl0_11),
% 0.12/0.36 inference(split_clause,[status(thm)],[f94,f88,f91,f41,f61])).
% 0.12/0.36 fof(f96,plain,(
% 0.12/0.36 $false|spl0_16),
% 0.12/0.36 inference(trivial_equality_resolution,[status(esa)],[f90])).
% 0.12/0.36 fof(f97,plain,(
% 0.12/0.36 spl0_16),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f96])).
% 0.12/0.36 fof(f98,plain,(
% 0.12/0.36 spl0_18 <=> sk0_2(f(sk0_3(sk0_1)))=f(g(sk0_2(f(sk0_3(sk0_1)))))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f99,plain,(
% 0.12/0.36 sk0_2(f(sk0_3(sk0_1)))=f(g(sk0_2(f(sk0_3(sk0_1)))))|~spl0_18),
% 0.12/0.36 inference(component_clause,[status(thm)],[f98])).
% 0.12/0.36 fof(f101,plain,(
% 0.12/0.36 ~f(sk0_3(sk0_1))=f(sk0_3(sk0_1))|sk0_2(f(sk0_3(sk0_1)))=f(g(sk0_2(f(sk0_3(sk0_1)))))|~spl0_4|~spl0_11),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f62,f31])).
% 0.12/0.36 fof(f102,plain,(
% 0.12/0.36 ~spl0_16|spl0_18|~spl0_4|~spl0_11),
% 0.12/0.36 inference(split_clause,[status(thm)],[f101,f88,f98,f30,f61])).
% 0.12/0.36 fof(f103,plain,(
% 0.12/0.36 spl0_19 <=> sk0_2(f(sk0_1))=f(g(sk0_2(f(sk0_1))))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f104,plain,(
% 0.12/0.36 sk0_2(f(sk0_1))=f(g(sk0_2(f(sk0_1))))|~spl0_19),
% 0.12/0.36 inference(component_clause,[status(thm)],[f103])).
% 0.12/0.36 fof(f106,plain,(
% 0.12/0.36 ~f(sk0_1)=f(sk0_1)|sk0_2(f(sk0_1))=f(g(sk0_2(f(sk0_1))))|~spl0_4|~spl0_1),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f18,f31])).
% 0.12/0.36 fof(f107,plain,(
% 0.12/0.36 ~spl0_14|spl0_19|~spl0_4|~spl0_1),
% 0.12/0.36 inference(split_clause,[status(thm)],[f106,f78,f103,f30,f17])).
% 0.12/0.36 fof(f110,plain,(
% 0.12/0.36 spl0_20 <=> sk0_2(f(sk0_1))=sk0_2(f(sk0_1))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f112,plain,(
% 0.12/0.36 ~sk0_2(f(sk0_1))=sk0_2(f(sk0_1))|spl0_20),
% 0.12/0.36 inference(component_clause,[status(thm)],[f110])).
% 0.12/0.36 fof(f113,plain,(
% 0.12/0.36 spl0_21 <=> sk0_2(sk0_2(f(sk0_1)))=f(g(sk0_2(sk0_2(f(sk0_1)))))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f114,plain,(
% 0.12/0.36 sk0_2(sk0_2(f(sk0_1)))=f(g(sk0_2(sk0_2(f(sk0_1)))))|~spl0_21),
% 0.12/0.36 inference(component_clause,[status(thm)],[f113])).
% 0.12/0.36 fof(f116,plain,(
% 0.12/0.36 ~sk0_2(f(sk0_1))=sk0_2(f(sk0_1))|sk0_2(sk0_2(f(sk0_1)))=f(g(sk0_2(sk0_2(f(sk0_1)))))|~spl0_4|~spl0_19),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f104,f31])).
% 0.12/0.36 fof(f117,plain,(
% 0.12/0.36 ~spl0_20|spl0_21|~spl0_4|~spl0_19),
% 0.12/0.36 inference(split_clause,[status(thm)],[f116,f110,f113,f30,f103])).
% 0.12/0.36 fof(f118,plain,(
% 0.12/0.36 spl0_22 <=> sk0_2(f(sk0_1))=sk0_2(sk0_2(f(sk0_1)))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f121,plain,(
% 0.12/0.36 ~sk0_2(f(sk0_1))=sk0_2(f(sk0_1))|~sk0_2(f(sk0_1))=sk0_2(sk0_2(f(sk0_1)))|~spl0_7|~spl0_19),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f104,f42])).
% 0.12/0.36 fof(f122,plain,(
% 0.12/0.36 ~spl0_20|~spl0_22|~spl0_7|~spl0_19),
% 0.12/0.36 inference(split_clause,[status(thm)],[f121,f110,f118,f41,f103])).
% 0.12/0.36 fof(f123,plain,(
% 0.12/0.36 $false|spl0_20),
% 0.12/0.36 inference(trivial_equality_resolution,[status(esa)],[f112])).
% 0.12/0.36 fof(f124,plain,(
% 0.12/0.36 spl0_20),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f123])).
% 0.12/0.36 fof(f125,plain,(
% 0.12/0.36 spl0_23 <=> f(sk0_3(g(sk0_2(sk0_0))))=f(sk0_3(g(sk0_2(sk0_0))))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f127,plain,(
% 0.12/0.36 ~f(sk0_3(g(sk0_2(sk0_0))))=f(sk0_3(g(sk0_2(sk0_0))))|spl0_23),
% 0.12/0.36 inference(component_clause,[status(thm)],[f125])).
% 0.12/0.36 fof(f138,plain,(
% 0.12/0.36 $false|spl0_23),
% 0.12/0.36 inference(trivial_equality_resolution,[status(esa)],[f127])).
% 0.12/0.36 fof(f139,plain,(
% 0.12/0.36 spl0_23),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f138])).
% 0.12/0.36 fof(f142,plain,(
% 0.12/0.36 spl0_26 <=> sk0_2(f(sk0_3(sk0_1)))=sk0_2(f(sk0_3(sk0_1)))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f144,plain,(
% 0.12/0.36 ~sk0_2(f(sk0_3(sk0_1)))=sk0_2(f(sk0_3(sk0_1)))|spl0_26),
% 0.12/0.36 inference(component_clause,[status(thm)],[f142])).
% 0.12/0.36 fof(f145,plain,(
% 0.12/0.36 spl0_27 <=> sk0_2(sk0_2(f(sk0_3(sk0_1))))=f(g(sk0_2(sk0_2(f(sk0_3(sk0_1))))))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f148,plain,(
% 0.12/0.36 ~sk0_2(f(sk0_3(sk0_1)))=sk0_2(f(sk0_3(sk0_1)))|sk0_2(sk0_2(f(sk0_3(sk0_1))))=f(g(sk0_2(sk0_2(f(sk0_3(sk0_1))))))|~spl0_4|~spl0_18),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f99,f31])).
% 0.12/0.36 fof(f149,plain,(
% 0.12/0.36 ~spl0_26|spl0_27|~spl0_4|~spl0_18),
% 0.12/0.36 inference(split_clause,[status(thm)],[f148,f142,f145,f30,f98])).
% 0.12/0.36 fof(f155,plain,(
% 0.12/0.36 $false|spl0_26),
% 0.12/0.36 inference(trivial_equality_resolution,[status(esa)],[f144])).
% 0.12/0.36 fof(f156,plain,(
% 0.12/0.36 spl0_26),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f155])).
% 0.12/0.36 fof(f157,plain,(
% 0.12/0.36 sk0_1=sk0_3(sk0_1)|~spl0_2|~spl0_11),
% 0.12/0.36 inference(resolution,[status(thm)],[f22,f62])).
% 0.12/0.36 fof(f158,plain,(
% 0.12/0.36 spl0_29 <=> sk0_3(sk0_1)=sk0_3(sk0_1)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f160,plain,(
% 0.12/0.36 ~sk0_3(sk0_1)=sk0_3(sk0_1)|spl0_29),
% 0.12/0.36 inference(component_clause,[status(thm)],[f158])).
% 0.12/0.36 fof(f168,plain,(
% 0.12/0.36 spl0_31 <=> g(sk0_2(f(sk0_3(sk0_1))))=g(sk0_2(f(sk0_3(sk0_1))))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f170,plain,(
% 0.12/0.36 ~g(sk0_2(f(sk0_3(sk0_1))))=g(sk0_2(f(sk0_3(sk0_1))))|spl0_31),
% 0.12/0.36 inference(component_clause,[status(thm)],[f168])).
% 0.12/0.36 fof(f176,plain,(
% 0.12/0.36 spl0_33 <=> g(sk0_2(f(sk0_1)))=g(sk0_2(f(sk0_1)))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f178,plain,(
% 0.12/0.36 ~g(sk0_2(f(sk0_1)))=g(sk0_2(f(sk0_1)))|spl0_33),
% 0.12/0.36 inference(component_clause,[status(thm)],[f176])).
% 0.12/0.36 fof(f179,plain,(
% 0.12/0.36 spl0_34 <=> sk0_1=g(sk0_2(f(sk0_1)))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f180,plain,(
% 0.12/0.36 sk0_1=g(sk0_2(f(sk0_1)))|~spl0_34),
% 0.12/0.36 inference(component_clause,[status(thm)],[f179])).
% 0.12/0.36 fof(f182,plain,(
% 0.12/0.36 ~g(sk0_2(f(sk0_1)))=g(sk0_2(f(sk0_1)))|sk0_1=g(sk0_2(f(sk0_1)))|~spl0_2|~spl0_19),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f104,f22])).
% 0.12/0.36 fof(f183,plain,(
% 0.12/0.36 ~spl0_33|spl0_34|~spl0_2|~spl0_19),
% 0.12/0.36 inference(split_clause,[status(thm)],[f182,f176,f179,f21,f103])).
% 0.12/0.36 fof(f184,plain,(
% 0.12/0.36 $false|spl0_33),
% 0.12/0.36 inference(trivial_equality_resolution,[status(esa)],[f178])).
% 0.12/0.36 fof(f185,plain,(
% 0.12/0.36 spl0_33),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f184])).
% 0.12/0.36 fof(f186,plain,(
% 0.12/0.36 $false|spl0_31),
% 0.12/0.36 inference(trivial_equality_resolution,[status(esa)],[f170])).
% 0.12/0.36 fof(f187,plain,(
% 0.12/0.36 spl0_31),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f186])).
% 0.12/0.36 fof(f188,plain,(
% 0.12/0.36 sk0_2(f(sk0_1))=f(sk0_1)|~spl0_34|~spl0_19),
% 0.12/0.36 inference(backward_demodulation,[status(thm)],[f180,f104])).
% 0.12/0.36 fof(f189,plain,(
% 0.12/0.36 $false|spl0_15|~spl0_34|~spl0_19),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f188,f83])).
% 0.12/0.36 fof(f190,plain,(
% 0.12/0.36 spl0_15|~spl0_34|~spl0_19),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f189])).
% 0.12/0.36 fof(f191,plain,(
% 0.12/0.36 $false|spl0_29),
% 0.12/0.36 inference(trivial_equality_resolution,[status(esa)],[f160])).
% 0.12/0.36 fof(f192,plain,(
% 0.12/0.36 spl0_29),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f191])).
% 0.12/0.36 fof(f196,plain,(
% 0.12/0.36 spl0_35 <=> sk0_0=sk0_2(sk0_0)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f198,plain,(
% 0.12/0.36 ~sk0_0=sk0_2(sk0_0)|spl0_35),
% 0.12/0.36 inference(component_clause,[status(thm)],[f196])).
% 0.12/0.36 fof(f199,plain,(
% 0.12/0.36 ~sk0_0=sk0_0|~sk0_0=sk0_2(sk0_0)|~spl0_7|~spl0_0),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f15,f42])).
% 0.12/0.36 fof(f200,plain,(
% 0.12/0.36 ~spl0_8|~spl0_35|~spl0_7|~spl0_0),
% 0.12/0.36 inference(split_clause,[status(thm)],[f199,f47,f196,f41,f14])).
% 0.12/0.36 fof(f204,plain,(
% 0.12/0.36 spl0_36 <=> g(sk0_0)=g(sk0_0)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f206,plain,(
% 0.12/0.36 ~g(sk0_0)=g(sk0_0)|spl0_36),
% 0.12/0.36 inference(component_clause,[status(thm)],[f204])).
% 0.12/0.36 fof(f207,plain,(
% 0.12/0.36 spl0_37 <=> sk0_3(g(sk0_0))=g(f(sk0_3(g(sk0_0))))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f208,plain,(
% 0.12/0.36 sk0_3(g(sk0_0))=g(f(sk0_3(g(sk0_0))))|~spl0_37),
% 0.12/0.36 inference(component_clause,[status(thm)],[f207])).
% 0.12/0.36 fof(f210,plain,(
% 0.12/0.36 ~g(sk0_0)=g(sk0_0)|sk0_3(g(sk0_0))=g(f(sk0_3(g(sk0_0))))|~spl0_5|~spl0_0),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f15,f34])).
% 0.12/0.36 fof(f211,plain,(
% 0.12/0.36 ~spl0_36|spl0_37|~spl0_5|~spl0_0),
% 0.12/0.36 inference(split_clause,[status(thm)],[f210,f204,f207,f33,f14])).
% 0.12/0.36 fof(f212,plain,(
% 0.12/0.36 $false|spl0_36),
% 0.12/0.36 inference(trivial_equality_resolution,[status(esa)],[f206])).
% 0.12/0.36 fof(f213,plain,(
% 0.12/0.36 spl0_36),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f212])).
% 0.12/0.36 fof(f215,plain,(
% 0.12/0.36 spl0_38 <=> sk0_3(g(sk0_0))=sk0_3(g(sk0_0))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f217,plain,(
% 0.12/0.36 ~sk0_3(g(sk0_0))=sk0_3(g(sk0_0))|spl0_38),
% 0.12/0.36 inference(component_clause,[status(thm)],[f215])).
% 0.12/0.36 fof(f223,plain,(
% 0.12/0.36 $false|spl0_38),
% 0.12/0.36 inference(trivial_equality_resolution,[status(esa)],[f217])).
% 0.12/0.36 fof(f224,plain,(
% 0.12/0.36 spl0_38),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f223])).
% 0.12/0.36 fof(f225,plain,(
% 0.12/0.36 spl0_40 <=> g(sk0_2(sk0_2(f(sk0_1))))=g(sk0_2(sk0_2(f(sk0_1))))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f227,plain,(
% 0.12/0.36 ~g(sk0_2(sk0_2(f(sk0_1))))=g(sk0_2(sk0_2(f(sk0_1))))|spl0_40),
% 0.12/0.36 inference(component_clause,[status(thm)],[f225])).
% 0.12/0.36 fof(f228,plain,(
% 0.12/0.36 spl0_41 <=> sk0_3(g(sk0_2(sk0_2(f(sk0_1)))))=g(f(sk0_3(g(sk0_2(sk0_2(f(sk0_1)))))))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f231,plain,(
% 0.12/0.36 ~g(sk0_2(sk0_2(f(sk0_1))))=g(sk0_2(sk0_2(f(sk0_1))))|sk0_3(g(sk0_2(sk0_2(f(sk0_1)))))=g(f(sk0_3(g(sk0_2(sk0_2(f(sk0_1)))))))|~spl0_5|~spl0_21),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f114,f34])).
% 0.12/0.36 fof(f232,plain,(
% 0.12/0.36 ~spl0_40|spl0_41|~spl0_5|~spl0_21),
% 0.12/0.36 inference(split_clause,[status(thm)],[f231,f225,f228,f33,f113])).
% 0.12/0.36 fof(f233,plain,(
% 0.12/0.36 $false|spl0_40),
% 0.12/0.36 inference(trivial_equality_resolution,[status(esa)],[f227])).
% 0.12/0.36 fof(f234,plain,(
% 0.12/0.36 spl0_40),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f233])).
% 0.12/0.36 fof(f236,plain,(
% 0.12/0.36 spl0_42 <=> sk0_3(g(sk0_2(sk0_0)))=sk0_3(g(sk0_2(sk0_0)))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f238,plain,(
% 0.12/0.36 ~sk0_3(g(sk0_2(sk0_0)))=sk0_3(g(sk0_2(sk0_0)))|spl0_42),
% 0.12/0.36 inference(component_clause,[status(thm)],[f236])).
% 0.12/0.36 fof(f244,plain,(
% 0.12/0.36 $false|spl0_42),
% 0.12/0.36 inference(trivial_equality_resolution,[status(esa)],[f238])).
% 0.12/0.36 fof(f245,plain,(
% 0.12/0.36 spl0_42),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f244])).
% 0.12/0.36 fof(f256,plain,(
% 0.12/0.36 spl0_45 <=> g(sk0_0)=sk0_3(g(sk0_0))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f258,plain,(
% 0.12/0.36 ~g(sk0_0)=sk0_3(g(sk0_0))|spl0_45),
% 0.12/0.36 inference(component_clause,[status(thm)],[f256])).
% 0.12/0.36 fof(f259,plain,(
% 0.12/0.36 ~g(sk0_0)=g(sk0_0)|~g(sk0_0)=sk0_3(g(sk0_0))|~spl0_6|~spl0_0),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f15,f38])).
% 0.12/0.36 fof(f260,plain,(
% 0.12/0.36 ~spl0_36|~spl0_45|~spl0_6|~spl0_0),
% 0.12/0.36 inference(split_clause,[status(thm)],[f259,f204,f256,f37,f14])).
% 0.12/0.36 fof(f276,plain,(
% 0.12/0.36 ~sk0_1=sk0_3(sk0_1)|~spl0_1|~spl0_6),
% 0.12/0.36 inference(resolution,[status(thm)],[f18,f38])).
% 0.12/0.36 fof(f277,plain,(
% 0.12/0.36 ~sk0_1=sk0_1|~spl0_2|~spl0_11|~spl0_1|~spl0_6),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f157,f276])).
% 0.12/0.36 fof(f278,plain,(
% 0.12/0.36 $false|~spl0_2|~spl0_11|~spl0_1|~spl0_6),
% 0.12/0.36 inference(trivial_equality_resolution,[status(esa)],[f277])).
% 0.12/0.36 fof(f279,plain,(
% 0.12/0.36 ~spl0_2|~spl0_11|~spl0_1|~spl0_6),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f278])).
% 0.12/0.36 fof(f285,plain,(
% 0.12/0.36 spl0_48 <=> sk0_2(sk0_0)=sk0_2(sk0_0)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f287,plain,(
% 0.12/0.36 ~sk0_2(sk0_0)=sk0_2(sk0_0)|spl0_48),
% 0.12/0.36 inference(component_clause,[status(thm)],[f285])).
% 0.12/0.36 fof(f295,plain,(
% 0.12/0.36 $false|spl0_48),
% 0.12/0.36 inference(trivial_equality_resolution,[status(esa)],[f287])).
% 0.12/0.36 fof(f296,plain,(
% 0.12/0.36 spl0_48),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f295])).
% 0.12/0.36 fof(f309,plain,(
% 0.12/0.36 spl0_50 <=> f(sk0_3(g(sk0_0)))=f(sk0_3(g(sk0_0)))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f311,plain,(
% 0.12/0.36 ~f(sk0_3(g(sk0_0)))=f(sk0_3(g(sk0_0)))|spl0_50),
% 0.12/0.36 inference(component_clause,[status(thm)],[f309])).
% 0.12/0.36 fof(f312,plain,(
% 0.12/0.36 spl0_51 <=> sk0_0=f(sk0_3(g(sk0_0)))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f313,plain,(
% 0.12/0.36 sk0_0=f(sk0_3(g(sk0_0)))|~spl0_51),
% 0.12/0.36 inference(component_clause,[status(thm)],[f312])).
% 0.12/0.36 fof(f315,plain,(
% 0.12/0.36 ~f(sk0_3(g(sk0_0)))=f(sk0_3(g(sk0_0)))|sk0_0=f(sk0_3(g(sk0_0)))|~spl0_3|~spl0_37),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f208,f26])).
% 0.12/0.36 fof(f316,plain,(
% 0.12/0.36 ~spl0_50|spl0_51|~spl0_3|~spl0_37),
% 0.12/0.36 inference(split_clause,[status(thm)],[f315,f309,f312,f25,f207])).
% 0.12/0.36 fof(f317,plain,(
% 0.12/0.36 $false|spl0_50),
% 0.12/0.36 inference(trivial_equality_resolution,[status(esa)],[f311])).
% 0.12/0.36 fof(f318,plain,(
% 0.12/0.36 spl0_50),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f317])).
% 0.12/0.36 fof(f329,plain,(
% 0.12/0.36 sk0_3(g(sk0_0))=g(sk0_0)|~spl0_51|~spl0_37),
% 0.12/0.36 inference(backward_demodulation,[status(thm)],[f313,f208])).
% 0.12/0.36 fof(f330,plain,(
% 0.12/0.36 $false|spl0_45|~spl0_51|~spl0_37),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f329,f258])).
% 0.12/0.36 fof(f331,plain,(
% 0.12/0.36 spl0_45|~spl0_51|~spl0_37),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f330])).
% 0.12/0.36 fof(f341,plain,(
% 0.12/0.36 sk0_0=sk0_2(sk0_0)|~spl0_4|~spl0_0|~spl0_3),
% 0.12/0.36 inference(resolution,[status(thm)],[f46,f26])).
% 0.12/0.36 fof(f342,plain,(
% 0.12/0.36 $false|spl0_35|~spl0_4|~spl0_0|~spl0_3),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f341,f198])).
% 0.12/0.36 fof(f343,plain,(
% 0.12/0.36 spl0_35|~spl0_4|~spl0_0|~spl0_3),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f342])).
% 0.12/0.36 fof(f344,plain,(
% 0.12/0.36 $false),
% 0.12/0.36 inference(sat_refutation,[status(thm)],[f20,f24,f28,f29,f36,f40,f44,f45,f56,f65,f75,f77,f85,f87,f95,f97,f102,f107,f117,f122,f124,f139,f149,f156,f183,f185,f187,f190,f192,f200,f211,f213,f224,f232,f234,f245,f260,f279,f296,f316,f318,f331,f343])).
% 0.12/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.36 % Elapsed time: 0.027883 seconds
% 0.12/0.36 % CPU time: 0.092110 seconds
% 0.12/0.36 % Total memory used: 17.568 MB
% 0.12/0.36 % Net memory used: 17.490 MB
%------------------------------------------------------------------------------