%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN417+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 03:19:36 PM UTC 2026
% Result : Theorem 0.08s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN417+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n026.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 10:56:37 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.40 % Refutation found
% 0.08/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.40 fof(f1,conjecture,(
% 0.08/0.40 ( (? [X] :( X = f(g(X))& (! [Y] :( Y = f(g(Y))=> X = Y ) )))<=> (? [X] :( X = g(f(X))& (! [Y] :( Y = g(f(Y))=> X = Y ) )) )) ),
% 0.08/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f2,negated_conjecture,(
% 0.08/0.40 ~(( (? [X] :( X = f(g(X))& (! [Y] :( Y = f(g(Y))=> X = Y ) )))<=> (? [X] :( X = g(f(X))& (! [Y] :( Y = g(f(Y))=> X = Y ) )) )) )),
% 0.08/0.40 inference(negated_conjecture,[status(cth)],[f1])).
% 0.08/0.40 fof(f3,plain,(
% 0.08/0.40 ((?[X]: (X=f(g(X))&(![Y]: (~Y=f(g(Y))|X=Y))))<~>(?[X]: (X=g(f(X))&(![Y]: (~Y=g(f(Y))|X=Y)))))),
% 0.08/0.40 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.08/0.40 fof(f4,plain,(
% 0.08/0.40 ((?[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)))))),
% 0.08/0.40 inference(NNF_transformation,[status(thm)],[f3])).
% 0.08/0.40 fof(f5,plain,(
% 0.08/0.40 ((sK0_skl=f(g(sK0_skl))&(![Y]: (~Y=f(g(Y))|sK0_skl=Y)))|(sK1_skl=g(f(sK1_skl))&(![Y]: (~Y=g(f(Y))|sK1_skl=Y))))&((![X]: (~X=f(g(X))|(sK2_skl(X)=f(g(sK2_skl(X)))&~X=sK2_skl(X))))|(![X]: (~X=g(f(X))|(sK3_skl(X)=g(f(sK3_skl(X)))&~X=sK3_skl(X)))))),
% 0.08/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl),skolemize(Y,sK2_skl(X)),skolemize(Y,sK3_skl(X))],[f4])).
% 0.08/0.40 fof(f6,plain,(
% 0.08/0.40 sK0_skl=f(g(sK0_skl))|sK1_skl=g(f(sK1_skl))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.40 fof(f7,plain,(
% 0.08/0.40 ![X0]: (sK0_skl=f(g(sK0_skl))|~X0=g(f(X0))|sK1_skl=X0)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.40 fof(f8,plain,(
% 0.08/0.40 ![X0]: (~X0=f(g(X0))|sK0_skl=X0|sK1_skl=g(f(sK1_skl)))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.40 fof(f9,plain,(
% 0.08/0.40 ![X0,X1]: (~X0=f(g(X0))|sK0_skl=X0|~X1=g(f(X1))|sK1_skl=X1)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.40 fof(f10,plain,(
% 0.08/0.40 ![X0,X1]: (~X0=f(g(X0))|sK2_skl(X0)=f(g(sK2_skl(X0)))|~X1=g(f(X1))|sK3_skl(X1)=g(f(sK3_skl(X1))))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.40 fof(f11,plain,(
% 0.08/0.40 ![X0,X1]: (~X0=f(g(X0))|sK2_skl(X0)=f(g(sK2_skl(X0)))|~X1=g(f(X1))|~X1=sK3_skl(X1))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.40 fof(f12,plain,(
% 0.08/0.40 ![X0,X1]: (~X0=f(g(X0))|~X0=sK2_skl(X0)|~X1=g(f(X1))|sK3_skl(X1)=g(f(sK3_skl(X1))))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.40 fof(f13,plain,(
% 0.08/0.40 ![X0,X1]: (~X0=f(g(X0))|~X0=sK2_skl(X0)|~X1=g(f(X1))|~X1=sK3_skl(X1))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.40 fof(f14,definition,(
% 0.08/0.40 sQ0_spl <=> (sK0_skl=f(g(sK0_skl)))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f15,plain,(
% 0.08/0.40 sK0_skl=f(g(sK0_skl))|~sQ0_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f14])).
% 0.08/0.40 fof(f17,definition,(
% 0.08/0.40 sQ1_spl <=> (sK1_skl=g(f(sK1_skl)))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f18,plain,(
% 0.08/0.40 sK1_skl=g(f(sK1_skl))|~sQ1_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f17])).
% 0.08/0.40 fof(f19,plain,(
% 0.08/0.40 ~sK1_skl=g(f(sK1_skl))|sQ1_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f17])).
% 0.08/0.40 fof(f20,plain,(
% 0.08/0.40 sQ0_spl|sQ1_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f6,f14,f17])).
% 0.08/0.40 fof(f21,definition,(
% 0.08/0.40 ![X0]: (sQ2_spl <=> (~X0=g(f(X0))|sK1_skl=X0))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f22,plain,(
% 0.08/0.40 ![X0]: (~X0=g(f(X0))|sK1_skl=X0|~sQ2_spl)),
% 0.08/0.40 inference(component_clause,[status(thm)],[f21])).
% 0.08/0.40 fof(f24,plain,(
% 0.08/0.40 sQ0_spl|sQ2_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f7,f14,f21])).
% 0.08/0.40 fof(f25,definition,(
% 0.08/0.40 ![X0]: (sQ3_spl <=> (~X0=f(g(X0))|sK0_skl=X0))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f26,plain,(
% 0.08/0.40 ![X0]: (~X0=f(g(X0))|sK0_skl=X0|~sQ3_spl)),
% 0.08/0.40 inference(component_clause,[status(thm)],[f25])).
% 0.08/0.40 fof(f28,plain,(
% 0.08/0.40 sQ3_spl|sQ1_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f8,f25,f17])).
% 0.08/0.40 fof(f29,plain,(
% 0.08/0.40 sQ3_spl|sQ2_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f9,f25,f21])).
% 0.08/0.40 fof(f30,definition,(
% 0.08/0.40 ![X0]: (sQ4_spl <=> (~X0=f(g(X0))|sK2_skl(X0)=f(g(sK2_skl(X0)))))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f31,plain,(
% 0.08/0.40 ![X0]: (~X0=f(g(X0))|sK2_skl(X0)=f(g(sK2_skl(X0)))|~sQ4_spl)),
% 0.08/0.40 inference(component_clause,[status(thm)],[f30])).
% 0.08/0.40 fof(f33,definition,(
% 0.08/0.40 ![X1]: (sQ5_spl <=> (~X1=g(f(X1))|sK3_skl(X1)=g(f(sK3_skl(X1)))))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f34,plain,(
% 0.08/0.40 ![X0]: (~X0=g(f(X0))|sK3_skl(X0)=g(f(sK3_skl(X0)))|~sQ5_spl)),
% 0.08/0.40 inference(component_clause,[status(thm)],[f33])).
% 0.08/0.40 fof(f36,plain,(
% 0.08/0.40 sQ4_spl|sQ5_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f10,f30,f33])).
% 0.08/0.40 fof(f37,definition,(
% 0.08/0.40 ![X1]: (sQ6_spl <=> (~X1=g(f(X1))|~X1=sK3_skl(X1)))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f38,plain,(
% 0.08/0.40 ![X0]: (~X0=g(f(X0))|~X0=sK3_skl(X0)|~sQ6_spl)),
% 0.08/0.40 inference(component_clause,[status(thm)],[f37])).
% 0.08/0.40 fof(f40,plain,(
% 0.08/0.40 sQ4_spl|sQ6_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f11,f30,f37])).
% 0.08/0.40 fof(f41,definition,(
% 0.08/0.40 ![X0]: (sQ7_spl <=> (~X0=f(g(X0))|~X0=sK2_skl(X0)))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f42,plain,(
% 0.08/0.40 ![X0]: (~X0=f(g(X0))|~X0=sK2_skl(X0)|~sQ7_spl)),
% 0.08/0.40 inference(component_clause,[status(thm)],[f41])).
% 0.08/0.40 fof(f44,plain,(
% 0.08/0.40 sQ7_spl|sQ5_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f12,f41,f33])).
% 0.08/0.40 fof(f45,plain,(
% 0.08/0.40 sQ7_spl|sQ6_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f13,f41,f37])).
% 0.08/0.40 fof(f47,plain,(
% 0.08/0.40 ~sK0_skl=sK0_skl|~sK0_skl=sK2_skl(sK0_skl)|~sQ7_spl|~sQ0_spl),
% 0.08/0.40 inference(paramodulation,[status(thm)],[f15,f42])).
% 0.08/0.40 fof(f48,definition,(
% 0.08/0.40 sQ8_spl <=> (sK0_skl=sK0_skl)),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f50,plain,(
% 0.08/0.40 ~sK0_skl=sK0_skl|sQ8_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f48])).
% 0.08/0.40 fof(f51,definition,(
% 0.08/0.40 sQ9_spl <=> (sK0_skl=sK2_skl(sK0_skl))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f53,plain,(
% 0.08/0.40 ~sK0_skl=sK2_skl(sK0_skl)|sQ9_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f51])).
% 0.08/0.40 fof(f54,plain,(
% 0.08/0.40 ~sQ8_spl|~sQ9_spl|~sQ7_spl|~sQ0_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f47,f48,f51,f41,f14])).
% 0.08/0.40 fof(f55,plain,(
% 0.08/0.40 ~f(sK1_skl)=f(sK1_skl)|sK2_skl(f(sK1_skl))=f(g(sK2_skl(f(sK1_skl))))|~sQ4_spl|~sQ1_spl),
% 0.08/0.40 inference(paramodulation,[status(thm)],[f18,f31])).
% 0.08/0.40 fof(f56,definition,(
% 0.08/0.40 sQ10_spl <=> (f(sK1_skl)=f(sK1_skl))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f58,plain,(
% 0.08/0.40 ~f(sK1_skl)=f(sK1_skl)|sQ10_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f56])).
% 0.08/0.40 fof(f59,definition,(
% 0.08/0.40 sQ11_spl <=> (sK2_skl(f(sK1_skl))=f(g(sK2_skl(f(sK1_skl)))))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f60,plain,(
% 0.08/0.40 sK2_skl(f(sK1_skl))=f(g(sK2_skl(f(sK1_skl))))|~sQ11_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f59])).
% 0.08/0.40 fof(f62,plain,(
% 0.08/0.40 ~sQ10_spl|sQ11_spl|~sQ4_spl|~sQ1_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f55,f56,f59,f30,f17])).
% 0.08/0.40 fof(f63,plain,(
% 0.08/0.40 $false|sQ10_spl),
% 0.08/0.40 inference(trivial_equality_resolution,[status(thm)],[f58])).
% 0.08/0.40 fof(f64,plain,(
% 0.08/0.40 sQ10_spl),
% 0.08/0.40 inference(contradiction_clause,[status(thm)],[f63])).
% 0.08/0.40 fof(f67,plain,(
% 0.08/0.40 ~g(sK0_skl)=g(sK0_skl)|sK1_skl=g(sK0_skl)|~sQ2_spl|~sQ0_spl),
% 0.08/0.40 inference(paramodulation,[status(thm)],[f15,f22])).
% 0.08/0.40 fof(f68,plain,(
% 0.08/0.40 ~g(sK0_skl)=g(sK0_skl)|~g(sK0_skl)=sK3_skl(g(sK0_skl))|~sQ6_spl|~sQ0_spl),
% 0.08/0.40 inference(paramodulation,[status(thm)],[f15,f38])).
% 0.08/0.40 fof(f69,plain,(
% 0.08/0.40 ~g(sK0_skl)=g(sK0_skl)|sK3_skl(g(sK0_skl))=g(f(sK3_skl(g(sK0_skl))))|~sQ5_spl|~sQ0_spl),
% 0.08/0.40 inference(paramodulation,[status(thm)],[f15,f34])).
% 0.08/0.40 fof(f71,definition,(
% 0.08/0.40 sQ12_spl <=> (g(sK0_skl)=g(sK0_skl))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f73,plain,(
% 0.08/0.40 ~g(sK0_skl)=g(sK0_skl)|sQ12_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f71])).
% 0.08/0.40 fof(f74,definition,(
% 0.08/0.40 sQ13_spl <=> (sK1_skl=g(sK0_skl))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f75,plain,(
% 0.08/0.40 sK1_skl=g(sK0_skl)|~sQ13_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f74])).
% 0.08/0.40 fof(f77,plain,(
% 0.08/0.40 ~sQ12_spl|sQ13_spl|~sQ2_spl|~sQ0_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f67,f71,f74,f21,f14])).
% 0.08/0.40 fof(f78,definition,(
% 0.08/0.40 sQ14_spl <=> (g(sK0_skl)=sK3_skl(g(sK0_skl)))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f80,plain,(
% 0.08/0.40 ~g(sK0_skl)=sK3_skl(g(sK0_skl))|sQ14_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f78])).
% 0.08/0.40 fof(f81,plain,(
% 0.08/0.40 ~sQ12_spl|~sQ14_spl|~sQ6_spl|~sQ0_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f68,f71,f78,f37,f14])).
% 0.08/0.40 fof(f82,definition,(
% 0.08/0.40 sQ15_spl <=> (sK3_skl(g(sK0_skl))=g(f(sK3_skl(g(sK0_skl)))))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f83,plain,(
% 0.08/0.40 sK3_skl(g(sK0_skl))=g(f(sK3_skl(g(sK0_skl))))|~sQ15_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f82])).
% 0.08/0.40 fof(f85,plain,(
% 0.08/0.40 ~sQ12_spl|sQ15_spl|~sQ5_spl|~sQ0_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f69,f71,f82,f33,f14])).
% 0.08/0.40 fof(f86,plain,(
% 0.08/0.40 $false|sQ12_spl),
% 0.08/0.40 inference(trivial_equality_resolution,[status(thm)],[f73])).
% 0.08/0.40 fof(f87,plain,(
% 0.08/0.40 sQ12_spl),
% 0.08/0.40 inference(contradiction_clause,[status(thm)],[f86])).
% 0.08/0.40 fof(f88,plain,(
% 0.08/0.40 $false|sQ8_spl),
% 0.08/0.40 inference(trivial_equality_resolution,[status(thm)],[f50])).
% 0.08/0.40 fof(f89,plain,(
% 0.08/0.40 sQ8_spl),
% 0.08/0.40 inference(contradiction_clause,[status(thm)],[f88])).
% 0.08/0.40 fof(f92,plain,(
% 0.08/0.40 ~f(sK1_skl)=f(sK1_skl)|~f(sK1_skl)=sK2_skl(f(sK1_skl))|~sQ7_spl|~sQ1_spl),
% 0.08/0.40 inference(paramodulation,[status(thm)],[f18,f42])).
% 0.08/0.40 fof(f93,definition,(
% 0.08/0.40 sQ16_spl <=> (f(sK1_skl)=sK2_skl(f(sK1_skl)))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f95,plain,(
% 0.08/0.40 ~f(sK1_skl)=sK2_skl(f(sK1_skl))|sQ16_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f93])).
% 0.08/0.40 fof(f96,plain,(
% 0.08/0.40 ~sQ10_spl|~sQ16_spl|~sQ7_spl|~sQ1_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f92,f56,f93,f41,f17])).
% 0.08/0.40 fof(f99,definition,(
% 0.08/0.40 sQ17_spl <=> (sK1_skl=sK1_skl)),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f101,plain,(
% 0.08/0.40 ~sK1_skl=sK1_skl|sQ17_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f99])).
% 0.08/0.40 fof(f103,plain,(
% 0.08/0.40 sK3_skl(sK1_skl)=g(f(sK3_skl(sK1_skl)))|~sQ5_spl|~sQ1_spl),
% 0.08/0.40 inference(resolution,[status(thm)],[f34,f18])).
% 0.08/0.40 fof(f118,plain,(
% 0.08/0.40 ~sK1_skl=g(sK0_skl)|~sQ13_spl|~sQ0_spl|sQ1_spl),
% 0.08/0.40 inference(backward_demodulation,[status(thm)],[f119,f19])).
% 0.08/0.40 fof(f119,plain,(
% 0.08/0.40 sK0_skl=f(sK1_skl)|~sQ13_spl|~sQ0_spl),
% 0.08/0.40 inference(forward_demodulation,[status(thm)],[f75,f15])).
% 0.08/0.40 fof(f120,plain,(
% 0.08/0.40 ~sK1_skl=sK1_skl|~sQ13_spl|~sQ0_spl|sQ1_spl),
% 0.08/0.40 inference(forward_demodulation,[status(thm)],[f75,f118])).
% 0.08/0.40 fof(f121,plain,(
% 0.08/0.40 $false|~sQ13_spl|~sQ0_spl|sQ1_spl),
% 0.08/0.40 inference(trivial_equality_resolution,[status(thm)],[f120])).
% 0.08/0.40 fof(f122,plain,(
% 0.08/0.40 ~sQ13_spl|~sQ0_spl|sQ1_spl),
% 0.08/0.40 inference(contradiction_clause,[status(thm)],[f121])).
% 0.08/0.40 fof(f144,plain,(
% 0.08/0.40 sK2_skl(sK0_skl)=f(g(sK2_skl(sK0_skl)))|~sQ0_spl|~sQ4_spl),
% 0.08/0.40 inference(resolution,[status(thm)],[f15,f31])).
% 0.08/0.40 fof(f152,plain,(
% 0.08/0.40 ~f(sK3_skl(g(sK0_skl)))=f(sK3_skl(g(sK0_skl)))|sK0_skl=f(sK3_skl(g(sK0_skl)))|~sQ3_spl|~sQ15_spl),
% 0.08/0.40 inference(paramodulation,[status(thm)],[f83,f26])).
% 0.08/0.40 fof(f154,definition,(
% 0.08/0.40 sQ21_spl <=> (f(sK3_skl(g(sK0_skl)))=f(sK3_skl(g(sK0_skl))))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f156,plain,(
% 0.08/0.40 ~f(sK3_skl(g(sK0_skl)))=f(sK3_skl(g(sK0_skl)))|sQ21_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f154])).
% 0.08/0.40 fof(f161,definition,(
% 0.08/0.40 sQ23_spl <=> (sK0_skl=f(sK3_skl(g(sK0_skl))))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f162,plain,(
% 0.08/0.40 sK0_skl=f(sK3_skl(g(sK0_skl)))|~sQ23_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f161])).
% 0.08/0.40 fof(f164,plain,(
% 0.08/0.40 ~sQ21_spl|sQ23_spl|~sQ3_spl|~sQ15_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f152,f154,f161,f25,f82])).
% 0.08/0.40 fof(f169,plain,(
% 0.08/0.40 $false|sQ21_spl),
% 0.08/0.40 inference(trivial_equality_resolution,[status(thm)],[f156])).
% 0.08/0.40 fof(f170,plain,(
% 0.08/0.40 sQ21_spl),
% 0.08/0.40 inference(contradiction_clause,[status(thm)],[f169])).
% 0.08/0.40 fof(f172,plain,(
% 0.08/0.40 sK0_skl=sK2_skl(sK0_skl)|~sQ0_spl|~sQ4_spl|~sQ3_spl),
% 0.08/0.40 inference(resolution,[status(thm)],[f144,f26])).
% 0.08/0.40 fof(f177,plain,(
% 0.08/0.40 $false|sQ9_spl|~sQ0_spl|~sQ4_spl|~sQ3_spl),
% 0.08/0.40 inference(forward_subsumption_resolution,[status(thm)],[f172,f53])).
% 0.08/0.40 fof(f178,plain,(
% 0.08/0.40 sQ9_spl|~sQ0_spl|~sQ4_spl|~sQ3_spl),
% 0.08/0.40 inference(contradiction_clause,[status(thm)],[f177])).
% 0.08/0.40 fof(f189,plain,(
% 0.08/0.40 sK3_skl(g(sK0_skl))=g(sK0_skl)|~sQ23_spl|~sQ15_spl),
% 0.08/0.40 inference(forward_demodulation,[status(thm)],[f162,f83])).
% 0.08/0.40 fof(f190,plain,(
% 0.08/0.40 $false|sQ14_spl|~sQ23_spl|~sQ15_spl),
% 0.08/0.40 inference(forward_subsumption_resolution,[status(thm)],[f189,f80])).
% 0.08/0.40 fof(f191,plain,(
% 0.08/0.40 sQ14_spl|~sQ23_spl|~sQ15_spl),
% 0.08/0.40 inference(contradiction_clause,[status(thm)],[f190])).
% 0.08/0.40 fof(f192,plain,(
% 0.08/0.40 $false|sQ17_spl),
% 0.08/0.40 inference(trivial_equality_resolution,[status(thm)],[f101])).
% 0.08/0.40 fof(f193,plain,(
% 0.08/0.40 sQ17_spl),
% 0.08/0.40 inference(contradiction_clause,[status(thm)],[f192])).
% 0.08/0.40 fof(f194,plain,(
% 0.08/0.40 ~sK1_skl=sK3_skl(sK1_skl)|~sQ1_spl|~sQ6_spl),
% 0.08/0.40 inference(resolution,[status(thm)],[f18,f38])).
% 0.08/0.40 fof(f209,plain,(
% 0.08/0.40 ~sK2_skl(f(sK1_skl))=sK2_skl(f(sK1_skl))|sK2_skl(sK2_skl(f(sK1_skl)))=f(g(sK2_skl(sK2_skl(f(sK1_skl)))))|~sQ4_spl|~sQ11_spl),
% 0.08/0.40 inference(paramodulation,[status(thm)],[f60,f31])).
% 0.08/0.40 fof(f210,plain,(
% 0.08/0.40 ~g(sK2_skl(f(sK1_skl)))=g(sK2_skl(f(sK1_skl)))|sK1_skl=g(sK2_skl(f(sK1_skl)))|~sQ2_spl|~sQ11_spl),
% 0.08/0.40 inference(paramodulation,[status(thm)],[f60,f22])).
% 0.08/0.40 fof(f213,definition,(
% 0.08/0.40 sQ28_spl <=> (sK2_skl(f(sK1_skl))=sK2_skl(f(sK1_skl)))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f215,plain,(
% 0.08/0.40 ~sK2_skl(f(sK1_skl))=sK2_skl(f(sK1_skl))|sQ28_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f213])).
% 0.08/0.40 fof(f216,definition,(
% 0.08/0.40 sQ29_spl <=> (sK2_skl(sK2_skl(f(sK1_skl)))=f(g(sK2_skl(sK2_skl(f(sK1_skl))))))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f219,plain,(
% 0.08/0.40 ~sQ28_spl|sQ29_spl|~sQ4_spl|~sQ11_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f209,f213,f216,f30,f59])).
% 0.08/0.40 fof(f220,definition,(
% 0.08/0.40 sQ30_spl <=> (g(sK2_skl(f(sK1_skl)))=g(sK2_skl(f(sK1_skl))))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f222,plain,(
% 0.08/0.40 ~g(sK2_skl(f(sK1_skl)))=g(sK2_skl(f(sK1_skl)))|sQ30_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f220])).
% 0.08/0.40 fof(f223,definition,(
% 0.08/0.40 sQ31_spl <=> (sK1_skl=g(sK2_skl(f(sK1_skl))))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f224,plain,(
% 0.08/0.40 sK1_skl=g(sK2_skl(f(sK1_skl)))|~sQ31_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f223])).
% 0.08/0.40 fof(f226,plain,(
% 0.08/0.40 ~sQ30_spl|sQ31_spl|~sQ2_spl|~sQ11_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f210,f220,f223,f21,f59])).
% 0.08/0.40 fof(f235,plain,(
% 0.08/0.40 $false|sQ30_spl),
% 0.08/0.40 inference(trivial_equality_resolution,[status(thm)],[f222])).
% 0.08/0.40 fof(f236,plain,(
% 0.08/0.40 sQ30_spl),
% 0.08/0.40 inference(contradiction_clause,[status(thm)],[f235])).
% 0.08/0.40 fof(f237,plain,(
% 0.08/0.40 $false|sQ28_spl),
% 0.08/0.40 inference(trivial_equality_resolution,[status(thm)],[f215])).
% 0.08/0.40 fof(f238,plain,(
% 0.08/0.40 sQ28_spl),
% 0.08/0.40 inference(contradiction_clause,[status(thm)],[f237])).
% 0.08/0.40 fof(f239,plain,(
% 0.08/0.40 sK2_skl(f(sK1_skl))=f(sK1_skl)|~sQ31_spl|~sQ11_spl),
% 0.08/0.40 inference(backward_demodulation,[status(thm)],[f224,f60])).
% 0.08/0.40 fof(f248,plain,(
% 0.08/0.40 sK1_skl=sK3_skl(sK1_skl)|~sQ5_spl|~sQ1_spl|~sQ2_spl),
% 0.08/0.40 inference(resolution,[status(thm)],[f103,f22])).
% 0.08/0.40 fof(f255,plain,(
% 0.08/0.40 $false|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl),
% 0.08/0.40 inference(forward_subsumption_resolution,[status(thm)],[f248,f194])).
% 0.08/0.40 fof(f256,plain,(
% 0.08/0.40 ~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl),
% 0.08/0.40 inference(contradiction_clause,[status(thm)],[f255])).
% 0.08/0.40 fof(f257,plain,(
% 0.08/0.40 ~f(sK1_skl)=f(sK1_skl)|~sQ31_spl|~sQ11_spl|sQ16_spl),
% 0.08/0.40 inference(forward_demodulation,[status(thm)],[f239,f95])).
% 0.08/0.40 fof(f258,plain,(
% 0.08/0.40 $false|~sQ31_spl|~sQ11_spl|sQ16_spl),
% 0.08/0.40 inference(trivial_equality_resolution,[status(thm)],[f257])).
% 0.08/0.40 fof(f259,plain,(
% 0.08/0.40 ~sQ31_spl|~sQ11_spl|sQ16_spl),
% 0.08/0.40 inference(contradiction_clause,[status(thm)],[f258])).
% 0.08/0.40 fof(f260,plain,(
% 0.08/0.40 $false),
% 0.08/0.40 inference(sat_refutation,[status(thm)],[f20,f24,f28,f29,f36,f40,f44,f45,f54,f62,f64,f77,f81,f85,f87,f89,f96,f122,f164,f170,f178,f191,f193,f219,f226,f236,f238,f256,f259])).
% 0.08/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.42 % Elapsed time: 0.050918 seconds
% 0.08/0.42 % CPU time: 0.152258 seconds
% 0.08/0.42 % Total memory used: 80.530 MB
% 0.08/0.42 % Net memory used: 80.026 MB
%------------------------------------------------------------------------------