TSTP Solution File: MSC014-10 by iProver-SAT---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver-SAT---3.8
% Problem  : MSC014-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d SAT

% Computer : n021.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 : Thu Aug 31 09:26:22 EDT 2023

% Result   : Satisfiable 3.57s 1.14s
% Output   : Saturation 3.57s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ifeq2(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).

cnf(c_50,plain,
    ifeq(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).

cnf(c_51,plain,
    equalish(n0,n0) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n0_and_n1_reflexive_1) ).

cnf(c_52,plain,
    equalish(n1,n1) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n0_and_n1_reflexive) ).

cnf(c_53,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,ifeq2(equalish(X3,X3),true,f(X3,X2,X1,X0,sK1_exists_f_Z(X3,X2,X1,X0)),true),true),true),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exists_f) ).

cnf(c_54,plain,
    ifeq2(f(X0,X1,X2,X3,X4),true,ifeq2(f(X5,X6,X7,X8,X4),true,equalish(X8,X3),true),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inject_f_3) ).

cnf(c_55,plain,
    ifeq2(f(X0,X1,X2,X3,X4),true,ifeq2(f(X5,X6,X7,X8,X4),true,equalish(X7,X2),true),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inject_f_2) ).

cnf(c_56,plain,
    ifeq2(f(X0,X1,X2,X3,X4),true,ifeq2(f(X5,X6,X7,X8,X4),true,equalish(X6,X1),true),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inject_f_1) ).

cnf(c_57,plain,
    ifeq2(f(X0,X1,X2,X3,X4),true,ifeq2(f(X5,X6,X7,X8,X4),true,equalish(X5,X0),true),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inject_f) ).

cnf(c_58,plain,
    ifeq(equalish(n0,n1),true,a,b) = b,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n0_not_n1_1) ).

cnf(c_59,plain,
    ifeq(equalish(n1,n0),true,a,b) = b,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n0_not_n1) ).

cnf(c_60,negated_conjecture,
    a != b,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

cnf(c_168,plain,
    ifeq2(f(X0,X1,X2,n0,X3),true,ifeq2(f(X4,X5,X6,n0,X3),true,true,true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_54]) ).

cnf(c_169,plain,
    ifeq2(f(X0,X1,X2,n1,X3),true,ifeq2(f(X4,X5,X6,n1,X3),true,true,true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_54]) ).

cnf(c_171,plain,
    ifeq2(f(X0,X1,n0,X2,X3),true,ifeq2(f(X4,X5,n0,X6,X3),true,true,true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_55]) ).

cnf(c_172,plain,
    ifeq2(f(X0,X1,n1,X2,X3),true,ifeq2(f(X4,X5,n1,X6,X3),true,true,true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_55]) ).

cnf(c_173,plain,
    ifeq2(f(X0,n0,X1,X2,X3),true,ifeq2(f(X4,n0,X5,X6,X3),true,true,true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_56]) ).

cnf(c_174,plain,
    ifeq2(f(X0,n1,X1,X2,X3),true,ifeq2(f(X4,n1,X5,X6,X3),true,true,true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_56]) ).

cnf(c_175,plain,
    ifeq2(f(n0,X0,X1,X2,X3),true,ifeq2(f(n0,X4,X5,X6,X3),true,true,true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_57]) ).

cnf(c_176,plain,
    ifeq2(f(n1,X0,X1,X2,X3),true,ifeq2(f(n1,X4,X5,X6,X3),true,true,true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_57]) ).

cnf(c_177,plain,
    ifeq2(true,true,ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,X1,X0,n0,sK1_exists_f_Z(X2,X1,X0,n0)),true),true),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_53]) ).

cnf(c_178,plain,
    ifeq2(true,true,ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,X1,X0,n1,sK1_exists_f_Z(X2,X1,X0,n1)),true),true),true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_53]) ).

cnf(c_179,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,X1,n0,X0,sK1_exists_f_Z(X2,X1,n0,X0)),true),true),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_53]) ).

cnf(c_180,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,X1,n1,X0,sK1_exists_f_Z(X2,X1,n1,X0)),true),true),true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_53]) ).

cnf(c_181,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(true,true,ifeq2(equalish(X2,X2),true,f(X2,n0,X1,X0,sK1_exists_f_Z(X2,n0,X1,X0)),true),true),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_53]) ).

cnf(c_182,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(true,true,ifeq2(equalish(X2,X2),true,f(X2,n1,X1,X0,sK1_exists_f_Z(X2,n1,X1,X0)),true),true),true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_53]) ).

cnf(c_183,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,ifeq2(true,true,f(n0,X2,X1,X0,sK1_exists_f_Z(n0,X2,X1,X0)),true),true),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_53]) ).

cnf(c_184,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,ifeq2(true,true,f(n1,X2,X1,X0,sK1_exists_f_Z(n1,X2,X1,X0)),true),true),true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_53]) ).

cnf(c_193,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,X1,X0,n0,sK1_exists_f_Z(X2,X1,X0,n0)),true),true),true) = true,
    inference(demodulation,[status(thm)],[c_177,c_49]) ).

cnf(c_194,plain,
    ifeq2(true,true,ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(X1,X0,n0,n0,sK1_exists_f_Z(X1,X0,n0,n0)),true),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_193]) ).

cnf(c_195,plain,
    ifeq2(true,true,ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(X1,X0,n1,n0,sK1_exists_f_Z(X1,X0,n1,n0)),true),true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_193]) ).

cnf(c_196,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,ifeq2(equalish(X1,X1),true,f(X1,n0,X0,n0,sK1_exists_f_Z(X1,n0,X0,n0)),true),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_193]) ).

cnf(c_197,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,ifeq2(equalish(X1,X1),true,f(X1,n1,X0,n0,sK1_exists_f_Z(X1,n1,X0,n0)),true),true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_193]) ).

cnf(c_198,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(true,true,f(n0,X1,X0,n0,sK1_exists_f_Z(n0,X1,X0,n0)),true),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_193]) ).

cnf(c_199,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(true,true,f(n1,X1,X0,n0,sK1_exists_f_Z(n1,X1,X0,n0)),true),true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_193]) ).

cnf(c_203,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(X1,X0,n0,n0,sK1_exists_f_Z(X1,X0,n0,n0)),true),true) = true,
    inference(demodulation,[status(thm)],[c_194,c_49]) ).

cnf(c_204,plain,
    ifeq2(true,true,ifeq2(equalish(X0,X0),true,f(X0,n0,n0,n0,sK1_exists_f_Z(X0,n0,n0,n0)),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_203]) ).

cnf(c_205,plain,
    ifeq2(true,true,ifeq2(equalish(X0,X0),true,f(X0,n1,n0,n0,sK1_exists_f_Z(X0,n1,n0,n0)),true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_203]) ).

cnf(c_206,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n0,X0,n0,n0,sK1_exists_f_Z(n0,X0,n0,n0)),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_203]) ).

cnf(c_207,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n1,X0,n0,n0,sK1_exists_f_Z(n1,X0,n0,n0)),true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_203]) ).

cnf(c_213,plain,
    ifeq2(equalish(X0,X0),true,f(X0,n0,n0,n0,sK1_exists_f_Z(X0,n0,n0,n0)),true) = true,
    inference(demodulation,[status(thm)],[c_204,c_49]) ).

cnf(c_214,plain,
    ifeq2(true,true,f(n0,n0,n0,n0,sK1_exists_f_Z(n0,n0,n0,n0)),true) = true,
    inference(superposition,[status(thm)],[c_51,c_213]) ).

cnf(c_215,plain,
    ifeq2(true,true,f(n1,n0,n0,n0,sK1_exists_f_Z(n1,n0,n0,n0)),true) = true,
    inference(superposition,[status(thm)],[c_52,c_213]) ).

cnf(c_222,plain,
    f(n0,n0,n0,n0,sK1_exists_f_Z(n0,n0,n0,n0)) = true,
    inference(demodulation,[status(thm)],[c_214,c_49]) ).

cnf(c_224,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(X0,n0),true),true) = true,
    inference(superposition,[status(thm)],[c_222,c_57]) ).

cnf(c_225,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(X1,n0),true),true) = true,
    inference(superposition,[status(thm)],[c_222,c_56]) ).

cnf(c_226,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(X2,n0),true),true) = true,
    inference(superposition,[status(thm)],[c_222,c_55]) ).

cnf(c_227,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(X3,n0),true),true) = true,
    inference(superposition,[status(thm)],[c_222,c_54]) ).

cnf(c_228,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,ifeq2(true,true,equalish(n0,X0),true),true) = true,
    inference(superposition,[status(thm)],[c_222,c_57]) ).

cnf(c_229,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,ifeq2(true,true,equalish(n0,X1),true),true) = true,
    inference(superposition,[status(thm)],[c_222,c_56]) ).

cnf(c_230,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,ifeq2(true,true,equalish(n0,X2),true),true) = true,
    inference(superposition,[status(thm)],[c_222,c_55]) ).

cnf(c_231,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,ifeq2(true,true,equalish(n0,X3),true),true) = true,
    inference(superposition,[status(thm)],[c_222,c_54]) ).

cnf(c_248,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,X1,X0,n1,sK1_exists_f_Z(X2,X1,X0,n1)),true),true),true) = true,
    inference(demodulation,[status(thm)],[c_178,c_49]) ).

cnf(c_249,plain,
    ifeq2(true,true,ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(X1,X0,n0,n1,sK1_exists_f_Z(X1,X0,n0,n1)),true),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_248]) ).

cnf(c_250,plain,
    ifeq2(true,true,ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(X1,X0,n1,n1,sK1_exists_f_Z(X1,X0,n1,n1)),true),true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_248]) ).

cnf(c_251,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,ifeq2(equalish(X1,X1),true,f(X1,n0,X0,n1,sK1_exists_f_Z(X1,n0,X0,n1)),true),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_248]) ).

cnf(c_252,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,ifeq2(equalish(X1,X1),true,f(X1,n1,X0,n1,sK1_exists_f_Z(X1,n1,X0,n1)),true),true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_248]) ).

cnf(c_253,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(true,true,f(n0,X1,X0,n1,sK1_exists_f_Z(n0,X1,X0,n1)),true),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_248]) ).

cnf(c_254,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(true,true,f(n1,X1,X0,n1,sK1_exists_f_Z(n1,X1,X0,n1)),true),true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_248]) ).

cnf(c_257,plain,
    f(n1,n0,n0,n0,sK1_exists_f_Z(n1,n0,n0,n0)) = true,
    inference(demodulation,[status(thm)],[c_215,c_49]) ).

cnf(c_259,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(X0,n1),true),true) = true,
    inference(superposition,[status(thm)],[c_257,c_57]) ).

cnf(c_260,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(X1,n0),true),true) = true,
    inference(superposition,[status(thm)],[c_257,c_56]) ).

cnf(c_261,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(X2,n0),true),true) = true,
    inference(superposition,[status(thm)],[c_257,c_55]) ).

cnf(c_262,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(X3,n0),true),true) = true,
    inference(superposition,[status(thm)],[c_257,c_54]) ).

cnf(c_263,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,ifeq2(true,true,equalish(n1,X0),true),true) = true,
    inference(superposition,[status(thm)],[c_257,c_57]) ).

cnf(c_264,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,ifeq2(true,true,equalish(n0,X1),true),true) = true,
    inference(superposition,[status(thm)],[c_257,c_56]) ).

cnf(c_265,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,ifeq2(true,true,equalish(n0,X2),true),true) = true,
    inference(superposition,[status(thm)],[c_257,c_55]) ).

cnf(c_266,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,ifeq2(true,true,equalish(n0,X3),true),true) = true,
    inference(superposition,[status(thm)],[c_257,c_54]) ).

cnf(c_283,plain,
    ifeq2(equalish(X0,X0),true,f(X0,n1,n0,n0,sK1_exists_f_Z(X0,n1,n0,n0)),true) = true,
    inference(demodulation,[status(thm)],[c_205,c_49]) ).

cnf(c_284,plain,
    ifeq2(true,true,f(n0,n1,n0,n0,sK1_exists_f_Z(n0,n1,n0,n0)),true) = true,
    inference(superposition,[status(thm)],[c_51,c_283]) ).

cnf(c_285,plain,
    ifeq2(true,true,f(n1,n1,n0,n0,sK1_exists_f_Z(n1,n1,n0,n0)),true) = true,
    inference(superposition,[status(thm)],[c_52,c_283]) ).

cnf(c_292,plain,
    f(n0,n1,n0,n0,sK1_exists_f_Z(n0,n1,n0,n0)) = true,
    inference(demodulation,[status(thm)],[c_284,c_49]) ).

cnf(c_294,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(X0,n0),true),true) = true,
    inference(superposition,[status(thm)],[c_292,c_57]) ).

cnf(c_295,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(X1,n1),true),true) = true,
    inference(superposition,[status(thm)],[c_292,c_56]) ).

cnf(c_296,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(X2,n0),true),true) = true,
    inference(superposition,[status(thm)],[c_292,c_55]) ).

cnf(c_297,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(X3,n0),true),true) = true,
    inference(superposition,[status(thm)],[c_292,c_54]) ).

cnf(c_298,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,ifeq2(true,true,equalish(n0,X0),true),true) = true,
    inference(superposition,[status(thm)],[c_292,c_57]) ).

cnf(c_299,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,ifeq2(true,true,equalish(n1,X1),true),true) = true,
    inference(superposition,[status(thm)],[c_292,c_56]) ).

cnf(c_300,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,ifeq2(true,true,equalish(n0,X2),true),true) = true,
    inference(superposition,[status(thm)],[c_292,c_55]) ).

cnf(c_301,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,ifeq2(true,true,equalish(n0,X3),true),true) = true,
    inference(superposition,[status(thm)],[c_292,c_54]) ).

cnf(c_317,plain,
    f(n1,n1,n0,n0,sK1_exists_f_Z(n1,n1,n0,n0)) = true,
    inference(demodulation,[status(thm)],[c_285,c_49]) ).

cnf(c_319,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(X0,n1),true),true) = true,
    inference(superposition,[status(thm)],[c_317,c_57]) ).

cnf(c_320,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(X1,n1),true),true) = true,
    inference(superposition,[status(thm)],[c_317,c_56]) ).

cnf(c_321,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(X2,n0),true),true) = true,
    inference(superposition,[status(thm)],[c_317,c_55]) ).

cnf(c_322,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(X3,n0),true),true) = true,
    inference(superposition,[status(thm)],[c_317,c_54]) ).

cnf(c_323,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,ifeq2(true,true,equalish(n1,X0),true),true) = true,
    inference(superposition,[status(thm)],[c_317,c_57]) ).

cnf(c_324,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,ifeq2(true,true,equalish(n1,X1),true),true) = true,
    inference(superposition,[status(thm)],[c_317,c_56]) ).

cnf(c_325,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,ifeq2(true,true,equalish(n0,X2),true),true) = true,
    inference(superposition,[status(thm)],[c_317,c_55]) ).

cnf(c_326,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,ifeq2(true,true,equalish(n0,X3),true),true) = true,
    inference(superposition,[status(thm)],[c_317,c_54]) ).

cnf(c_418,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,X1,n0,X0,sK1_exists_f_Z(X2,X1,n0,X0)),true),true),true) = true,
    inference(demodulation,[status(thm)],[c_179,c_49]) ).

cnf(c_422,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,ifeq2(equalish(X1,X1),true,f(X1,n0,n0,X0,sK1_exists_f_Z(X1,n0,n0,X0)),true),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_418]) ).

cnf(c_423,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,ifeq2(equalish(X1,X1),true,f(X1,n1,n0,X0,sK1_exists_f_Z(X1,n1,n0,X0)),true),true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_418]) ).

cnf(c_426,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(true,true,f(n0,X1,n0,X0,sK1_exists_f_Z(n0,X1,n0,X0)),true),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_418]) ).

cnf(c_427,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(true,true,f(n1,X1,n0,X0,sK1_exists_f_Z(n1,X1,n0,X0)),true),true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_418]) ).

cnf(c_442,plain,
    ifeq2(equalish(X0,X0),true,f(n0,X0,n0,n0,sK1_exists_f_Z(n0,X0,n0,n0)),true) = true,
    inference(demodulation,[status(thm)],[c_206,c_49]) ).

cnf(c_457,plain,
    ifeq2(equalish(X0,X0),true,f(n1,X0,n0,n0,sK1_exists_f_Z(n1,X0,n0,n0)),true) = true,
    inference(demodulation,[status(thm)],[c_207,c_49]) ).

cnf(c_472,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(X0,n0),true) = true,
    inference(demodulation,[status(thm)],[c_224,c_49]) ).

cnf(c_480,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(X1,n0),true) = true,
    inference(demodulation,[status(thm)],[c_225,c_49]) ).

cnf(c_563,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,X1,n1,X0,sK1_exists_f_Z(X2,X1,n1,X0)),true),true),true) = true,
    inference(demodulation,[status(thm)],[c_180,c_49]) ).

cnf(c_566,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,ifeq2(equalish(X1,X1),true,f(X1,n0,n1,X0,sK1_exists_f_Z(X1,n0,n1,X0)),true),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_563]) ).

cnf(c_567,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,ifeq2(equalish(X1,X1),true,f(X1,n1,n1,X0,sK1_exists_f_Z(X1,n1,n1,X0)),true),true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_563]) ).

cnf(c_568,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(true,true,f(n0,X1,n1,X0,sK1_exists_f_Z(n0,X1,n1,X0)),true),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_563]) ).

cnf(c_569,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(true,true,f(n1,X1,n1,X0,sK1_exists_f_Z(n1,X1,n1,X0)),true),true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_563]) ).

cnf(c_572,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(X2,n0),true) = true,
    inference(demodulation,[status(thm)],[c_226,c_49]) ).

cnf(c_580,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(X3,n0),true) = true,
    inference(demodulation,[status(thm)],[c_227,c_49]) ).

cnf(c_591,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(n0,X0),true) = true,
    inference(demodulation,[status(thm)],[c_228,c_49]) ).

cnf(c_594,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,true,true) = true,
    inference(superposition,[status(thm)],[c_591,c_54]) ).

cnf(c_672,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,n0,X1,X0,sK1_exists_f_Z(X2,n0,X1,X0)),true),true),true) = true,
    inference(demodulation,[status(thm)],[c_181,c_49]) ).

cnf(c_680,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(true,true,f(n0,n0,X1,X0,sK1_exists_f_Z(n0,n0,X1,X0)),true),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_672]) ).

cnf(c_681,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(true,true,f(n1,n0,X1,X0,sK1_exists_f_Z(n1,n0,X1,X0)),true),true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_672]) ).

cnf(c_690,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(n0,X1),true) = true,
    inference(demodulation,[status(thm)],[c_229,c_49]) ).

cnf(c_698,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(n0,X2),true) = true,
    inference(demodulation,[status(thm)],[c_230,c_49]) ).

cnf(c_706,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(n0,X3),true) = true,
    inference(demodulation,[status(thm)],[c_231,c_49]) ).

cnf(c_715,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(X0,n1),true) = true,
    inference(demodulation,[status(thm)],[c_259,c_49]) ).

cnf(c_777,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,n1,X1,X0,sK1_exists_f_Z(X2,n1,X1,X0)),true),true),true) = true,
    inference(demodulation,[status(thm)],[c_182,c_49]) ).

cnf(c_784,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(true,true,f(n0,n1,X1,X0,sK1_exists_f_Z(n0,n1,X1,X0)),true),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_777]) ).

cnf(c_785,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(true,true,f(n1,n1,X1,X0,sK1_exists_f_Z(n1,n1,X1,X0)),true),true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_777]) ).

cnf(c_796,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(X1,n0),true) = true,
    inference(demodulation,[status(thm)],[c_260,c_49]) ).

cnf(c_804,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(X2,n0),true) = true,
    inference(demodulation,[status(thm)],[c_261,c_49]) ).

cnf(c_812,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(X3,n0),true) = true,
    inference(demodulation,[status(thm)],[c_262,c_49]) ).

cnf(c_821,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(n1,X0),true) = true,
    inference(demodulation,[status(thm)],[c_263,c_49]) ).

cnf(c_824,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,true,true) = true,
    inference(superposition,[status(thm)],[c_821,c_54]) ).

cnf(c_891,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(n0,X2,X1,X0,sK1_exists_f_Z(n0,X2,X1,X0)),true),true),true) = true,
    inference(demodulation,[status(thm)],[c_183,c_49]) ).

cnf(c_910,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(n0,X1),true) = true,
    inference(demodulation,[status(thm)],[c_264,c_49]) ).

cnf(c_918,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(n0,X2),true) = true,
    inference(demodulation,[status(thm)],[c_265,c_49]) ).

cnf(c_926,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(n0,X3),true) = true,
    inference(demodulation,[status(thm)],[c_266,c_49]) ).

cnf(c_935,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(X0,n0),true) = true,
    inference(demodulation,[status(thm)],[c_294,c_49]) ).

cnf(c_945,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(X1,n1),true) = true,
    inference(demodulation,[status(thm)],[c_295,c_49]) ).

cnf(c_953,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(X2,n0),true) = true,
    inference(demodulation,[status(thm)],[c_296,c_49]) ).

cnf(c_961,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(X3,n0),true) = true,
    inference(demodulation,[status(thm)],[c_297,c_49]) ).

cnf(c_970,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(n0,X0),true) = true,
    inference(demodulation,[status(thm)],[c_298,c_49]) ).

cnf(c_973,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,true,true) = true,
    inference(superposition,[status(thm)],[c_970,c_54]) ).

cnf(c_989,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(n1,X1),true) = true,
    inference(demodulation,[status(thm)],[c_299,c_49]) ).

cnf(c_997,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(n0,X2),true) = true,
    inference(demodulation,[status(thm)],[c_300,c_49]) ).

cnf(c_1005,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(n0,X3),true) = true,
    inference(demodulation,[status(thm)],[c_301,c_49]) ).

cnf(c_1014,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(X0,n1),true) = true,
    inference(demodulation,[status(thm)],[c_319,c_49]) ).

cnf(c_1022,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(X1,n1),true) = true,
    inference(demodulation,[status(thm)],[c_320,c_49]) ).

cnf(c_1031,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(X2,n0),true) = true,
    inference(demodulation,[status(thm)],[c_321,c_49]) ).

cnf(c_1040,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(n1,X2,X1,X0,sK1_exists_f_Z(n1,X2,X1,X0)),true),true),true) = true,
    inference(demodulation,[status(thm)],[c_184,c_49]) ).

cnf(c_1060,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(X3,n0),true) = true,
    inference(demodulation,[status(thm)],[c_322,c_49]) ).

cnf(c_1069,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(n1,X0),true) = true,
    inference(demodulation,[status(thm)],[c_323,c_49]) ).

cnf(c_1072,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,true,true) = true,
    inference(superposition,[status(thm)],[c_1069,c_54]) ).

cnf(c_1087,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(n1,X1),true) = true,
    inference(demodulation,[status(thm)],[c_324,c_49]) ).

cnf(c_1096,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(n0,X2),true) = true,
    inference(demodulation,[status(thm)],[c_325,c_49]) ).

cnf(c_1104,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(n0,X3),true) = true,
    inference(demodulation,[status(thm)],[c_326,c_49]) ).

cnf(c_1113,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(X1,X0,n1,n0,sK1_exists_f_Z(X1,X0,n1,n0)),true),true) = true,
    inference(demodulation,[status(thm)],[c_195,c_49]) ).

cnf(c_1114,plain,
    ifeq2(true,true,ifeq2(equalish(X0,X0),true,f(X0,n0,n1,n0,sK1_exists_f_Z(X0,n0,n1,n0)),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_1113]) ).

cnf(c_1115,plain,
    ifeq2(true,true,ifeq2(equalish(X0,X0),true,f(X0,n1,n1,n0,sK1_exists_f_Z(X0,n1,n1,n0)),true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_1113]) ).

cnf(c_1116,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n0,X0,n1,n0,sK1_exists_f_Z(n0,X0,n1,n0)),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_1113]) ).

cnf(c_1117,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n1,X0,n1,n0,sK1_exists_f_Z(n1,X0,n1,n0)),true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_1113]) ).

cnf(c_1127,plain,
    ifeq2(equalish(X0,X0),true,f(X0,n0,n1,n0,sK1_exists_f_Z(X0,n0,n1,n0)),true) = true,
    inference(demodulation,[status(thm)],[c_1114,c_49]) ).

cnf(c_1128,plain,
    ifeq2(true,true,f(n0,n0,n1,n0,sK1_exists_f_Z(n0,n0,n1,n0)),true) = true,
    inference(superposition,[status(thm)],[c_51,c_1127]) ).

cnf(c_1129,plain,
    ifeq2(true,true,f(n1,n0,n1,n0,sK1_exists_f_Z(n1,n0,n1,n0)),true) = true,
    inference(superposition,[status(thm)],[c_52,c_1127]) ).

cnf(c_1142,plain,
    f(n0,n0,n1,n0,sK1_exists_f_Z(n0,n0,n1,n0)) = true,
    inference(demodulation,[status(thm)],[c_1128,c_49]) ).

cnf(c_1144,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(X0,n0),true),true) = true,
    inference(superposition,[status(thm)],[c_1142,c_57]) ).

cnf(c_1145,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(X1,n0),true),true) = true,
    inference(superposition,[status(thm)],[c_1142,c_56]) ).

cnf(c_1146,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(X2,n1),true),true) = true,
    inference(superposition,[status(thm)],[c_1142,c_55]) ).

cnf(c_1147,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(X3,n0),true),true) = true,
    inference(superposition,[status(thm)],[c_1142,c_54]) ).

cnf(c_1148,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,ifeq2(true,true,equalish(n0,X0),true),true) = true,
    inference(superposition,[status(thm)],[c_1142,c_57]) ).

cnf(c_1149,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,ifeq2(true,true,equalish(n0,X1),true),true) = true,
    inference(superposition,[status(thm)],[c_1142,c_56]) ).

cnf(c_1150,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,ifeq2(true,true,equalish(n1,X2),true),true) = true,
    inference(superposition,[status(thm)],[c_1142,c_55]) ).

cnf(c_1151,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,ifeq2(true,true,equalish(n0,X3),true),true) = true,
    inference(superposition,[status(thm)],[c_1142,c_54]) ).

cnf(c_1188,plain,
    f(n1,n0,n1,n0,sK1_exists_f_Z(n1,n0,n1,n0)) = true,
    inference(demodulation,[status(thm)],[c_1129,c_49]) ).

cnf(c_1190,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(X0,n1),true),true) = true,
    inference(superposition,[status(thm)],[c_1188,c_57]) ).

cnf(c_1191,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(X1,n0),true),true) = true,
    inference(superposition,[status(thm)],[c_1188,c_56]) ).

cnf(c_1192,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(X2,n1),true),true) = true,
    inference(superposition,[status(thm)],[c_1188,c_55]) ).

cnf(c_1193,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(X3,n0),true),true) = true,
    inference(superposition,[status(thm)],[c_1188,c_54]) ).

cnf(c_1194,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,ifeq2(true,true,equalish(n1,X0),true),true) = true,
    inference(superposition,[status(thm)],[c_1188,c_57]) ).

cnf(c_1195,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,ifeq2(true,true,equalish(n0,X1),true),true) = true,
    inference(superposition,[status(thm)],[c_1188,c_56]) ).

cnf(c_1196,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,ifeq2(true,true,equalish(n1,X2),true),true) = true,
    inference(superposition,[status(thm)],[c_1188,c_55]) ).

cnf(c_1197,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,ifeq2(true,true,equalish(n0,X3),true),true) = true,
    inference(superposition,[status(thm)],[c_1188,c_54]) ).

cnf(c_1273,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(X1,n0,X0,n0,sK1_exists_f_Z(X1,n0,X0,n0)),true),true) = true,
    inference(demodulation,[status(thm)],[c_196,c_49]) ).

cnf(c_1279,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n0,n0,X0,n0,sK1_exists_f_Z(n0,n0,X0,n0)),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_1273]) ).

cnf(c_1280,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n1,n0,X0,n0,sK1_exists_f_Z(n1,n0,X0,n0)),true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_1273]) ).

cnf(c_1299,plain,
    ifeq2(equalish(X0,X0),true,f(X0,n1,n1,n0,sK1_exists_f_Z(X0,n1,n1,n0)),true) = true,
    inference(demodulation,[status(thm)],[c_1115,c_49]) ).

cnf(c_1300,plain,
    ifeq2(true,true,f(n0,n1,n1,n0,sK1_exists_f_Z(n0,n1,n1,n0)),true) = true,
    inference(superposition,[status(thm)],[c_51,c_1299]) ).

cnf(c_1301,plain,
    ifeq2(true,true,f(n1,n1,n1,n0,sK1_exists_f_Z(n1,n1,n1,n0)),true) = true,
    inference(superposition,[status(thm)],[c_52,c_1299]) ).

cnf(c_1313,plain,
    f(n0,n1,n1,n0,sK1_exists_f_Z(n0,n1,n1,n0)) = true,
    inference(demodulation,[status(thm)],[c_1300,c_49]) ).

cnf(c_1315,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(X0,n0),true),true) = true,
    inference(superposition,[status(thm)],[c_1313,c_57]) ).

cnf(c_1316,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(X1,n1),true),true) = true,
    inference(superposition,[status(thm)],[c_1313,c_56]) ).

cnf(c_1317,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(X2,n1),true),true) = true,
    inference(superposition,[status(thm)],[c_1313,c_55]) ).

cnf(c_1318,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(X3,n0),true),true) = true,
    inference(superposition,[status(thm)],[c_1313,c_54]) ).

cnf(c_1319,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,ifeq2(true,true,equalish(n0,X0),true),true) = true,
    inference(superposition,[status(thm)],[c_1313,c_57]) ).

cnf(c_1320,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,ifeq2(true,true,equalish(n1,X1),true),true) = true,
    inference(superposition,[status(thm)],[c_1313,c_56]) ).

cnf(c_1321,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,ifeq2(true,true,equalish(n1,X2),true),true) = true,
    inference(superposition,[status(thm)],[c_1313,c_55]) ).

cnf(c_1322,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,ifeq2(true,true,equalish(n0,X3),true),true) = true,
    inference(superposition,[status(thm)],[c_1313,c_54]) ).

cnf(c_1346,plain,
    f(n1,n1,n1,n0,sK1_exists_f_Z(n1,n1,n1,n0)) = true,
    inference(demodulation,[status(thm)],[c_1301,c_49]) ).

cnf(c_1348,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(X0,n1),true),true) = true,
    inference(superposition,[status(thm)],[c_1346,c_57]) ).

cnf(c_1349,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(X1,n1),true),true) = true,
    inference(superposition,[status(thm)],[c_1346,c_56]) ).

cnf(c_1350,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(X2,n1),true),true) = true,
    inference(superposition,[status(thm)],[c_1346,c_55]) ).

cnf(c_1351,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(X3,n0),true),true) = true,
    inference(superposition,[status(thm)],[c_1346,c_54]) ).

cnf(c_1352,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,ifeq2(true,true,equalish(n1,X0),true),true) = true,
    inference(superposition,[status(thm)],[c_1346,c_57]) ).

cnf(c_1353,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,ifeq2(true,true,equalish(n1,X1),true),true) = true,
    inference(superposition,[status(thm)],[c_1346,c_56]) ).

cnf(c_1354,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,ifeq2(true,true,equalish(n1,X2),true),true) = true,
    inference(superposition,[status(thm)],[c_1346,c_55]) ).

cnf(c_1355,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,ifeq2(true,true,equalish(n0,X3),true),true) = true,
    inference(superposition,[status(thm)],[c_1346,c_54]) ).

cnf(c_1379,plain,
    ifeq2(equalish(X0,X0),true,f(n0,X0,n1,n0,sK1_exists_f_Z(n0,X0,n1,n0)),true) = true,
    inference(demodulation,[status(thm)],[c_1116,c_49]) ).

cnf(c_1454,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(X1,n1,X0,n0,sK1_exists_f_Z(X1,n1,X0,n0)),true),true) = true,
    inference(demodulation,[status(thm)],[c_197,c_49]) ).

cnf(c_1460,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n0,n1,X0,n0,sK1_exists_f_Z(n0,n1,X0,n0)),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_1454]) ).

cnf(c_1461,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n1,n1,X0,n0,sK1_exists_f_Z(n1,n1,X0,n0)),true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_1454]) ).

cnf(c_1481,plain,
    ifeq2(equalish(X0,X0),true,f(n1,X0,n1,n0,sK1_exists_f_Z(n1,X0,n1,n0)),true) = true,
    inference(demodulation,[status(thm)],[c_1117,c_49]) ).

cnf(c_1501,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(X0,n0),true) = true,
    inference(demodulation,[status(thm)],[c_1144,c_49]) ).

cnf(c_1509,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(X1,n0),true) = true,
    inference(demodulation,[status(thm)],[c_1145,c_49]) ).

cnf(c_1518,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(X2,n1),true) = true,
    inference(demodulation,[status(thm)],[c_1146,c_49]) ).

cnf(c_1579,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(n0,X1,X0,n0,sK1_exists_f_Z(n0,X1,X0,n0)),true),true) = true,
    inference(demodulation,[status(thm)],[c_198,c_49]) ).

cnf(c_1607,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(X3,n0),true) = true,
    inference(demodulation,[status(thm)],[c_1147,c_49]) ).

cnf(c_1616,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(n0,X0),true) = true,
    inference(demodulation,[status(thm)],[c_1148,c_49]) ).

cnf(c_1619,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,true,true) = true,
    inference(superposition,[status(thm)],[c_1616,c_54]) ).

cnf(c_1634,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(n0,X1),true) = true,
    inference(demodulation,[status(thm)],[c_1149,c_49]) ).

cnf(c_1718,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(n1,X1,X0,n0,sK1_exists_f_Z(n1,X1,X0,n0)),true),true) = true,
    inference(demodulation,[status(thm)],[c_199,c_49]) ).

cnf(c_1748,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(n1,X2),true) = true,
    inference(demodulation,[status(thm)],[c_1150,c_49]) ).

cnf(c_1756,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(n0,X3),true) = true,
    inference(demodulation,[status(thm)],[c_1151,c_49]) ).

cnf(c_1765,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(X0,n1),true) = true,
    inference(demodulation,[status(thm)],[c_1190,c_49]) ).

cnf(c_1774,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(X1,n0),true) = true,
    inference(demodulation,[status(thm)],[c_1191,c_49]) ).

cnf(c_1866,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(X1,X0,n0,n1,sK1_exists_f_Z(X1,X0,n0,n1)),true),true) = true,
    inference(demodulation,[status(thm)],[c_249,c_49]) ).

cnf(c_1867,plain,
    ifeq2(true,true,ifeq2(equalish(X0,X0),true,f(X0,n0,n0,n1,sK1_exists_f_Z(X0,n0,n0,n1)),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_1866]) ).

cnf(c_1868,plain,
    ifeq2(true,true,ifeq2(equalish(X0,X0),true,f(X0,n1,n0,n1,sK1_exists_f_Z(X0,n1,n0,n1)),true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_1866]) ).

cnf(c_1869,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n0,X0,n0,n1,sK1_exists_f_Z(n0,X0,n0,n1)),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_1866]) ).

cnf(c_1870,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n1,X0,n0,n1,sK1_exists_f_Z(n1,X0,n0,n1)),true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_1866]) ).

cnf(c_1879,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(X2,n1),true) = true,
    inference(demodulation,[status(thm)],[c_1192,c_49]) ).

cnf(c_1887,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(X3,n0),true) = true,
    inference(demodulation,[status(thm)],[c_1193,c_49]) ).

cnf(c_1896,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(n1,X0),true) = true,
    inference(demodulation,[status(thm)],[c_1194,c_49]) ).

cnf(c_1899,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,true,true) = true,
    inference(superposition,[status(thm)],[c_1896,c_54]) ).

cnf(c_1924,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(n0,X1),true) = true,
    inference(demodulation,[status(thm)],[c_1195,c_49]) ).

cnf(c_1932,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(n1,X2),true) = true,
    inference(demodulation,[status(thm)],[c_1196,c_49]) ).

cnf(c_1940,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(n0,X3),true) = true,
    inference(demodulation,[status(thm)],[c_1197,c_49]) ).

cnf(c_1949,plain,
    ifeq2(equalish(X0,X0),true,f(n0,n0,X0,n0,sK1_exists_f_Z(n0,n0,X0,n0)),true) = true,
    inference(demodulation,[status(thm)],[c_1279,c_49]) ).

cnf(c_1970,plain,
    ifeq2(equalish(X0,X0),true,f(n1,n0,X0,n0,sK1_exists_f_Z(n1,n0,X0,n0)),true) = true,
    inference(demodulation,[status(thm)],[c_1280,c_49]) ).

cnf(c_1994,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(X0,n0),true) = true,
    inference(demodulation,[status(thm)],[c_1315,c_49]) ).

cnf(c_2003,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(X1,X0,n1,n1,sK1_exists_f_Z(X1,X0,n1,n1)),true),true) = true,
    inference(demodulation,[status(thm)],[c_250,c_49]) ).

cnf(c_2004,plain,
    ifeq2(true,true,ifeq2(equalish(X0,X0),true,f(X0,n0,n1,n1,sK1_exists_f_Z(X0,n0,n1,n1)),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_2003]) ).

cnf(c_2005,plain,
    ifeq2(true,true,ifeq2(equalish(X0,X0),true,f(X0,n1,n1,n1,sK1_exists_f_Z(X0,n1,n1,n1)),true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_2003]) ).

cnf(c_2006,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n0,X0,n1,n1,sK1_exists_f_Z(n0,X0,n1,n1)),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_2003]) ).

cnf(c_2007,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n1,X0,n1,n1,sK1_exists_f_Z(n1,X0,n1,n1)),true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_2003]) ).

cnf(c_2016,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(X1,n1),true) = true,
    inference(demodulation,[status(thm)],[c_1316,c_49]) ).

cnf(c_2024,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(X2,n1),true) = true,
    inference(demodulation,[status(thm)],[c_1317,c_49]) ).

cnf(c_2032,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(X3,n0),true) = true,
    inference(demodulation,[status(thm)],[c_1318,c_49]) ).

cnf(c_2041,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(n0,X0),true) = true,
    inference(demodulation,[status(thm)],[c_1319,c_49]) ).

cnf(c_2044,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,true,true) = true,
    inference(superposition,[status(thm)],[c_2041,c_54]) ).

cnf(c_2060,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(n1,X1),true) = true,
    inference(demodulation,[status(thm)],[c_1320,c_49]) ).

cnf(c_2068,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(n1,X2),true) = true,
    inference(demodulation,[status(thm)],[c_1321,c_49]) ).

cnf(c_2076,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(n0,X3),true) = true,
    inference(demodulation,[status(thm)],[c_1322,c_49]) ).

cnf(c_2085,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(X0,n1),true) = true,
    inference(demodulation,[status(thm)],[c_1348,c_49]) ).

cnf(c_2093,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(X1,n1),true) = true,
    inference(demodulation,[status(thm)],[c_1349,c_49]) ).

cnf(c_2101,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(X2,n1),true) = true,
    inference(demodulation,[status(thm)],[c_1350,c_49]) ).

cnf(c_2110,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(X3,n0),true) = true,
    inference(demodulation,[status(thm)],[c_1351,c_49]) ).

cnf(c_2119,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(n1,X0),true) = true,
    inference(demodulation,[status(thm)],[c_1352,c_49]) ).

cnf(c_2122,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,true,true) = true,
    inference(superposition,[status(thm)],[c_2119,c_54]) ).

cnf(c_2137,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(n1,X1),true) = true,
    inference(demodulation,[status(thm)],[c_1353,c_49]) ).

cnf(c_2145,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(n1,X2),true) = true,
    inference(demodulation,[status(thm)],[c_1354,c_49]) ).

cnf(c_2154,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(X1,n0,X0,n1,sK1_exists_f_Z(X1,n0,X0,n1)),true),true) = true,
    inference(demodulation,[status(thm)],[c_251,c_49]) ).

cnf(c_2157,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n0,n0,X0,n1,sK1_exists_f_Z(n0,n0,X0,n1)),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_2154]) ).

cnf(c_2158,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n1,n0,X0,n1,sK1_exists_f_Z(n1,n0,X0,n1)),true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_2154]) ).

cnf(c_2168,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(n0,X3),true) = true,
    inference(demodulation,[status(thm)],[c_1355,c_49]) ).

cnf(c_2177,plain,
    ifeq2(equalish(X0,X0),true,f(n0,n1,X0,n0,sK1_exists_f_Z(n0,n1,X0,n0)),true) = true,
    inference(demodulation,[status(thm)],[c_1460,c_49]) ).

cnf(c_2200,plain,
    ifeq2(equalish(X0,X0),true,f(n1,n1,X0,n0,sK1_exists_f_Z(n1,n1,X0,n0)),true) = true,
    inference(demodulation,[status(thm)],[c_1461,c_49]) ).

cnf(c_2222,plain,
    ifeq2(equalish(X0,X0),true,f(X0,n0,n0,n1,sK1_exists_f_Z(X0,n0,n0,n1)),true) = true,
    inference(demodulation,[status(thm)],[c_1867,c_49]) ).

cnf(c_2223,plain,
    ifeq2(true,true,f(n0,n0,n0,n1,sK1_exists_f_Z(n0,n0,n0,n1)),true) = true,
    inference(superposition,[status(thm)],[c_51,c_2222]) ).

cnf(c_2224,plain,
    ifeq2(true,true,f(n1,n0,n0,n1,sK1_exists_f_Z(n1,n0,n0,n1)),true) = true,
    inference(superposition,[status(thm)],[c_52,c_2222]) ).

cnf(c_2237,plain,
    f(n0,n0,n0,n1,sK1_exists_f_Z(n0,n0,n0,n1)) = true,
    inference(demodulation,[status(thm)],[c_2223,c_49]) ).

cnf(c_2239,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(X0,n0),true),true) = true,
    inference(superposition,[status(thm)],[c_2237,c_57]) ).

cnf(c_2240,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(X1,n0),true),true) = true,
    inference(superposition,[status(thm)],[c_2237,c_56]) ).

cnf(c_2241,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(X2,n0),true),true) = true,
    inference(superposition,[status(thm)],[c_2237,c_55]) ).

cnf(c_2242,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(X3,n1),true),true) = true,
    inference(superposition,[status(thm)],[c_2237,c_54]) ).

cnf(c_2243,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,ifeq2(true,true,equalish(n0,X0),true),true) = true,
    inference(superposition,[status(thm)],[c_2237,c_57]) ).

cnf(c_2244,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,ifeq2(true,true,equalish(n0,X1),true),true) = true,
    inference(superposition,[status(thm)],[c_2237,c_56]) ).

cnf(c_2245,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,ifeq2(true,true,equalish(n0,X2),true),true) = true,
    inference(superposition,[status(thm)],[c_2237,c_55]) ).

cnf(c_2246,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,ifeq2(true,true,equalish(n1,X3),true),true) = true,
    inference(superposition,[status(thm)],[c_2237,c_54]) ).

cnf(c_2273,plain,
    f(n1,n0,n0,n1,sK1_exists_f_Z(n1,n0,n0,n1)) = true,
    inference(demodulation,[status(thm)],[c_2224,c_49]) ).

cnf(c_2275,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(X0,n1),true),true) = true,
    inference(superposition,[status(thm)],[c_2273,c_57]) ).

cnf(c_2276,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(X1,n0),true),true) = true,
    inference(superposition,[status(thm)],[c_2273,c_56]) ).

cnf(c_2277,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(X2,n0),true),true) = true,
    inference(superposition,[status(thm)],[c_2273,c_55]) ).

cnf(c_2278,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(X3,n1),true),true) = true,
    inference(superposition,[status(thm)],[c_2273,c_54]) ).

cnf(c_2279,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,ifeq2(true,true,equalish(n1,X0),true),true) = true,
    inference(superposition,[status(thm)],[c_2273,c_57]) ).

cnf(c_2280,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,ifeq2(true,true,equalish(n0,X1),true),true) = true,
    inference(superposition,[status(thm)],[c_2273,c_56]) ).

cnf(c_2281,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,ifeq2(true,true,equalish(n0,X2),true),true) = true,
    inference(superposition,[status(thm)],[c_2273,c_55]) ).

cnf(c_2282,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,ifeq2(true,true,equalish(n1,X3),true),true) = true,
    inference(superposition,[status(thm)],[c_2273,c_54]) ).

cnf(c_2383,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(X1,n1,X0,n1,sK1_exists_f_Z(X1,n1,X0,n1)),true),true) = true,
    inference(demodulation,[status(thm)],[c_252,c_49]) ).

cnf(c_2386,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n0,n1,X0,n1,sK1_exists_f_Z(n0,n1,X0,n1)),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_2383]) ).

cnf(c_2387,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n1,n1,X0,n1,sK1_exists_f_Z(n1,n1,X0,n1)),true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_2383]) ).

cnf(c_2396,plain,
    ifeq2(equalish(X0,X0),true,f(X0,n1,n0,n1,sK1_exists_f_Z(X0,n1,n0,n1)),true) = true,
    inference(demodulation,[status(thm)],[c_1868,c_49]) ).

cnf(c_2397,plain,
    ifeq2(true,true,f(n0,n1,n0,n1,sK1_exists_f_Z(n0,n1,n0,n1)),true) = true,
    inference(superposition,[status(thm)],[c_51,c_2396]) ).

cnf(c_2398,plain,
    ifeq2(true,true,f(n1,n1,n0,n1,sK1_exists_f_Z(n1,n1,n0,n1)),true) = true,
    inference(superposition,[status(thm)],[c_52,c_2396]) ).

cnf(c_2413,plain,
    f(n0,n1,n0,n1,sK1_exists_f_Z(n0,n1,n0,n1)) = true,
    inference(demodulation,[status(thm)],[c_2397,c_49]) ).

cnf(c_2415,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(X0,n0),true),true) = true,
    inference(superposition,[status(thm)],[c_2413,c_57]) ).

cnf(c_2416,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(X1,n1),true),true) = true,
    inference(superposition,[status(thm)],[c_2413,c_56]) ).

cnf(c_2417,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(X2,n0),true),true) = true,
    inference(superposition,[status(thm)],[c_2413,c_55]) ).

cnf(c_2418,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(X3,n1),true),true) = true,
    inference(superposition,[status(thm)],[c_2413,c_54]) ).

cnf(c_2419,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,ifeq2(true,true,equalish(n0,X0),true),true) = true,
    inference(superposition,[status(thm)],[c_2413,c_57]) ).

cnf(c_2420,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,ifeq2(true,true,equalish(n1,X1),true),true) = true,
    inference(superposition,[status(thm)],[c_2413,c_56]) ).

cnf(c_2421,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,ifeq2(true,true,equalish(n0,X2),true),true) = true,
    inference(superposition,[status(thm)],[c_2413,c_55]) ).

cnf(c_2422,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,ifeq2(true,true,equalish(n1,X3),true),true) = true,
    inference(superposition,[status(thm)],[c_2413,c_54]) ).

cnf(c_2450,plain,
    f(n1,n1,n0,n1,sK1_exists_f_Z(n1,n1,n0,n1)) = true,
    inference(demodulation,[status(thm)],[c_2398,c_49]) ).

cnf(c_2452,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(X0,n1),true),true) = true,
    inference(superposition,[status(thm)],[c_2450,c_57]) ).

cnf(c_2453,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(X1,n1),true),true) = true,
    inference(superposition,[status(thm)],[c_2450,c_56]) ).

cnf(c_2454,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(X2,n0),true),true) = true,
    inference(superposition,[status(thm)],[c_2450,c_55]) ).

cnf(c_2455,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(X3,n1),true),true) = true,
    inference(superposition,[status(thm)],[c_2450,c_54]) ).

cnf(c_2456,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,ifeq2(true,true,equalish(n1,X0),true),true) = true,
    inference(superposition,[status(thm)],[c_2450,c_57]) ).

cnf(c_2457,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,ifeq2(true,true,equalish(n1,X1),true),true) = true,
    inference(superposition,[status(thm)],[c_2450,c_56]) ).

cnf(c_2458,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,ifeq2(true,true,equalish(n0,X2),true),true) = true,
    inference(superposition,[status(thm)],[c_2450,c_55]) ).

cnf(c_2459,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,ifeq2(true,true,equalish(n1,X3),true),true) = true,
    inference(superposition,[status(thm)],[c_2450,c_54]) ).

cnf(c_2487,plain,
    ifeq2(equalish(X0,X0),true,f(n0,X0,n0,n1,sK1_exists_f_Z(n0,X0,n0,n1)),true) = true,
    inference(demodulation,[status(thm)],[c_1869,c_49]) ).

cnf(c_2591,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(n0,X1,X0,n1,sK1_exists_f_Z(n0,X1,X0,n1)),true),true) = true,
    inference(demodulation,[status(thm)],[c_253,c_49]) ).

cnf(c_2613,plain,
    ifeq2(equalish(X0,X0),true,f(n1,X0,n0,n1,sK1_exists_f_Z(n1,X0,n0,n1)),true) = true,
    inference(demodulation,[status(thm)],[c_1870,c_49]) ).

cnf(c_2635,plain,
    ifeq2(equalish(X0,X0),true,f(X0,n0,n1,n1,sK1_exists_f_Z(X0,n0,n1,n1)),true) = true,
    inference(demodulation,[status(thm)],[c_2004,c_49]) ).

cnf(c_2636,plain,
    ifeq2(true,true,f(n0,n0,n1,n1,sK1_exists_f_Z(n0,n0,n1,n1)),true) = true,
    inference(superposition,[status(thm)],[c_51,c_2635]) ).

cnf(c_2637,plain,
    ifeq2(true,true,f(n1,n0,n1,n1,sK1_exists_f_Z(n1,n0,n1,n1)),true) = true,
    inference(superposition,[status(thm)],[c_52,c_2635]) ).

cnf(c_2653,plain,
    f(n0,n0,n1,n1,sK1_exists_f_Z(n0,n0,n1,n1)) = true,
    inference(demodulation,[status(thm)],[c_2636,c_49]) ).

cnf(c_2655,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(X0,n0),true),true) = true,
    inference(superposition,[status(thm)],[c_2653,c_57]) ).

cnf(c_2656,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(X1,n0),true),true) = true,
    inference(superposition,[status(thm)],[c_2653,c_56]) ).

cnf(c_2657,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(X2,n1),true),true) = true,
    inference(superposition,[status(thm)],[c_2653,c_55]) ).

cnf(c_2658,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(X3,n1),true),true) = true,
    inference(superposition,[status(thm)],[c_2653,c_54]) ).

cnf(c_2659,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,ifeq2(true,true,equalish(n0,X0),true),true) = true,
    inference(superposition,[status(thm)],[c_2653,c_57]) ).

cnf(c_2660,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,ifeq2(true,true,equalish(n0,X1),true),true) = true,
    inference(superposition,[status(thm)],[c_2653,c_56]) ).

cnf(c_2661,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,ifeq2(true,true,equalish(n1,X2),true),true) = true,
    inference(superposition,[status(thm)],[c_2653,c_55]) ).

cnf(c_2662,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,ifeq2(true,true,equalish(n1,X3),true),true) = true,
    inference(superposition,[status(thm)],[c_2653,c_54]) ).

cnf(c_2685,plain,
    f(n1,n0,n1,n1,sK1_exists_f_Z(n1,n0,n1,n1)) = true,
    inference(demodulation,[status(thm)],[c_2637,c_49]) ).

cnf(c_2687,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(X0,n1),true),true) = true,
    inference(superposition,[status(thm)],[c_2685,c_57]) ).

cnf(c_2688,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(X1,n0),true),true) = true,
    inference(superposition,[status(thm)],[c_2685,c_56]) ).

cnf(c_2689,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(X2,n1),true),true) = true,
    inference(superposition,[status(thm)],[c_2685,c_55]) ).

cnf(c_2690,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(X3,n1),true),true) = true,
    inference(superposition,[status(thm)],[c_2685,c_54]) ).

cnf(c_2691,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,ifeq2(true,true,equalish(n1,X0),true),true) = true,
    inference(superposition,[status(thm)],[c_2685,c_57]) ).

cnf(c_2692,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,ifeq2(true,true,equalish(n0,X1),true),true) = true,
    inference(superposition,[status(thm)],[c_2685,c_56]) ).

cnf(c_2693,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,ifeq2(true,true,equalish(n1,X2),true),true) = true,
    inference(superposition,[status(thm)],[c_2685,c_55]) ).

cnf(c_2694,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,ifeq2(true,true,equalish(n1,X3),true),true) = true,
    inference(superposition,[status(thm)],[c_2685,c_54]) ).

cnf(c_2771,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(n1,X1,X0,n1,sK1_exists_f_Z(n1,X1,X0,n1)),true),true) = true,
    inference(demodulation,[status(thm)],[c_254,c_49]) ).

cnf(c_2794,plain,
    ifeq2(equalish(X0,X0),true,f(X0,n1,n1,n1,sK1_exists_f_Z(X0,n1,n1,n1)),true) = true,
    inference(demodulation,[status(thm)],[c_2005,c_49]) ).

cnf(c_2795,plain,
    ifeq2(true,true,f(n0,n1,n1,n1,sK1_exists_f_Z(n0,n1,n1,n1)),true) = true,
    inference(superposition,[status(thm)],[c_51,c_2794]) ).

cnf(c_2796,plain,
    ifeq2(true,true,f(n1,n1,n1,n1,sK1_exists_f_Z(n1,n1,n1,n1)),true) = true,
    inference(superposition,[status(thm)],[c_52,c_2794]) ).

cnf(c_2810,plain,
    f(n0,n1,n1,n1,sK1_exists_f_Z(n0,n1,n1,n1)) = true,
    inference(demodulation,[status(thm)],[c_2795,c_49]) ).

cnf(c_2812,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(X0,n0),true),true) = true,
    inference(superposition,[status(thm)],[c_2810,c_57]) ).

cnf(c_2813,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(X1,n1),true),true) = true,
    inference(superposition,[status(thm)],[c_2810,c_56]) ).

cnf(c_2814,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(X2,n1),true),true) = true,
    inference(superposition,[status(thm)],[c_2810,c_55]) ).

cnf(c_2815,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(X3,n1),true),true) = true,
    inference(superposition,[status(thm)],[c_2810,c_54]) ).

cnf(c_2816,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,ifeq2(true,true,equalish(n0,X0),true),true) = true,
    inference(superposition,[status(thm)],[c_2810,c_57]) ).

cnf(c_2817,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,ifeq2(true,true,equalish(n1,X1),true),true) = true,
    inference(superposition,[status(thm)],[c_2810,c_56]) ).

cnf(c_2818,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,ifeq2(true,true,equalish(n1,X2),true),true) = true,
    inference(superposition,[status(thm)],[c_2810,c_55]) ).

cnf(c_2819,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,ifeq2(true,true,equalish(n1,X3),true),true) = true,
    inference(superposition,[status(thm)],[c_2810,c_54]) ).

cnf(c_2858,plain,
    f(n1,n1,n1,n1,sK1_exists_f_Z(n1,n1,n1,n1)) = true,
    inference(demodulation,[status(thm)],[c_2796,c_49]) ).

cnf(c_2860,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(X0,n1),true),true) = true,
    inference(superposition,[status(thm)],[c_2858,c_57]) ).

cnf(c_2861,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(X1,n1),true),true) = true,
    inference(superposition,[status(thm)],[c_2858,c_56]) ).

cnf(c_2862,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(X2,n1),true),true) = true,
    inference(superposition,[status(thm)],[c_2858,c_55]) ).

cnf(c_2863,plain,
    ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(X3,n1),true),true) = true,
    inference(superposition,[status(thm)],[c_2858,c_54]) ).

cnf(c_2864,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,ifeq2(true,true,equalish(n1,X0),true),true) = true,
    inference(superposition,[status(thm)],[c_2858,c_57]) ).

cnf(c_2865,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,ifeq2(true,true,equalish(n1,X1),true),true) = true,
    inference(superposition,[status(thm)],[c_2858,c_56]) ).

cnf(c_2866,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,ifeq2(true,true,equalish(n1,X2),true),true) = true,
    inference(superposition,[status(thm)],[c_2858,c_55]) ).

cnf(c_2867,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,ifeq2(true,true,equalish(n1,X3),true),true) = true,
    inference(superposition,[status(thm)],[c_2858,c_54]) ).

cnf(c_2889,plain,
    ifeq2(equalish(X0,X0),true,f(n0,X0,n1,n1,sK1_exists_f_Z(n0,X0,n1,n1)),true) = true,
    inference(demodulation,[status(thm)],[c_2006,c_49]) ).

cnf(c_2966,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(X1,n0,n0,X0,sK1_exists_f_Z(X1,n0,n0,X0)),true),true) = true,
    inference(demodulation,[status(thm)],[c_422,c_49]) ).

cnf(c_2974,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n0,n0,n0,X0,sK1_exists_f_Z(n0,n0,n0,X0)),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_2966]) ).

cnf(c_2975,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n1,n0,n0,X0,sK1_exists_f_Z(n1,n0,n0,X0)),true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_2966]) ).

cnf(c_2996,plain,
    ifeq2(equalish(X0,X0),true,f(n1,X0,n1,n1,sK1_exists_f_Z(n1,X0,n1,n1)),true) = true,
    inference(demodulation,[status(thm)],[c_2007,c_49]) ).

cnf(c_3017,plain,
    ifeq2(equalish(X0,X0),true,f(n0,n0,X0,n1,sK1_exists_f_Z(n0,n0,X0,n1)),true) = true,
    inference(demodulation,[status(thm)],[c_2157,c_49]) ).

cnf(c_3041,plain,
    ifeq2(equalish(X0,X0),true,f(n1,n0,X0,n1,sK1_exists_f_Z(n1,n0,X0,n1)),true) = true,
    inference(demodulation,[status(thm)],[c_2158,c_49]) ).

cnf(c_3064,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(X0,n0),true) = true,
    inference(demodulation,[status(thm)],[c_2239,c_49]) ).

cnf(c_3139,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(X1,n1,n0,X0,sK1_exists_f_Z(X1,n1,n0,X0)),true),true) = true,
    inference(demodulation,[status(thm)],[c_423,c_49]) ).

cnf(c_3147,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n0,n1,n0,X0,sK1_exists_f_Z(n0,n1,n0,X0)),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_3139]) ).

cnf(c_3148,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n1,n1,n0,X0,sK1_exists_f_Z(n1,n1,n0,X0)),true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_3139]) ).

cnf(c_3170,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(X1,n0),true) = true,
    inference(demodulation,[status(thm)],[c_2240,c_49]) ).

cnf(c_3178,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(X2,n0),true) = true,
    inference(demodulation,[status(thm)],[c_2241,c_49]) ).

cnf(c_3187,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(X3,n1),true) = true,
    inference(demodulation,[status(thm)],[c_2242,c_49]) ).

cnf(c_3196,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(n0,X0),true) = true,
    inference(demodulation,[status(thm)],[c_2243,c_49]) ).

cnf(c_3199,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,true,true) = true,
    inference(superposition,[status(thm)],[c_3196,c_54]) ).

cnf(c_3288,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(n0,X1,n0,X0,sK1_exists_f_Z(n0,X1,n0,X0)),true),true) = true,
    inference(demodulation,[status(thm)],[c_426,c_49]) ).

cnf(c_3320,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(n0,X1),true) = true,
    inference(demodulation,[status(thm)],[c_2244,c_49]) ).

cnf(c_3328,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(n0,X2),true) = true,
    inference(demodulation,[status(thm)],[c_2245,c_49]) ).

cnf(c_3337,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(n1,X3),true) = true,
    inference(demodulation,[status(thm)],[c_2246,c_49]) ).

cnf(c_3346,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(X0,n1),true) = true,
    inference(demodulation,[status(thm)],[c_2275,c_49]) ).

cnf(c_3416,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(n1,X1,n0,X0,sK1_exists_f_Z(n1,X1,n0,X0)),true),true) = true,
    inference(demodulation,[status(thm)],[c_427,c_49]) ).

cnf(c_3451,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(X1,n0),true) = true,
    inference(demodulation,[status(thm)],[c_2276,c_49]) ).

cnf(c_3459,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(X2,n0),true) = true,
    inference(demodulation,[status(thm)],[c_2277,c_49]) ).

cnf(c_3467,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(X3,n1),true) = true,
    inference(demodulation,[status(thm)],[c_2278,c_49]) ).

cnf(c_3476,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(n1,X0),true) = true,
    inference(demodulation,[status(thm)],[c_2279,c_49]) ).

cnf(c_3479,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,true,true) = true,
    inference(superposition,[status(thm)],[c_3476,c_54]) ).

cnf(c_3540,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(X1,n0,n1,X0,sK1_exists_f_Z(X1,n0,n1,X0)),true),true) = true,
    inference(demodulation,[status(thm)],[c_566,c_49]) ).

cnf(c_3549,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n0,n0,n1,X0,sK1_exists_f_Z(n0,n0,n1,X0)),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_3540]) ).

cnf(c_3550,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n1,n0,n1,X0,sK1_exists_f_Z(n1,n0,n1,X0)),true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_3540]) ).

cnf(c_3571,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(n0,X1),true) = true,
    inference(demodulation,[status(thm)],[c_2280,c_49]) ).

cnf(c_3579,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(n0,X2),true) = true,
    inference(demodulation,[status(thm)],[c_2281,c_49]) ).

cnf(c_3587,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(n1,X3),true) = true,
    inference(demodulation,[status(thm)],[c_2282,c_49]) ).

cnf(c_3596,plain,
    ifeq2(equalish(X0,X0),true,f(n0,n1,X0,n1,sK1_exists_f_Z(n0,n1,X0,n1)),true) = true,
    inference(demodulation,[status(thm)],[c_2386,c_49]) ).

cnf(c_3682,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(X1,n1,n1,X0,sK1_exists_f_Z(X1,n1,n1,X0)),true),true) = true,
    inference(demodulation,[status(thm)],[c_567,c_49]) ).

cnf(c_3690,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n0,n1,n1,X0,sK1_exists_f_Z(n0,n1,n1,X0)),true),true) = true,
    inference(superposition,[status(thm)],[c_51,c_3682]) ).

cnf(c_3691,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n1,n1,n1,X0,sK1_exists_f_Z(n1,n1,n1,X0)),true),true) = true,
    inference(superposition,[status(thm)],[c_52,c_3682]) ).

cnf(c_3711,plain,
    ifeq2(equalish(X0,X0),true,f(n1,n1,X0,n1,sK1_exists_f_Z(n1,n1,X0,n1)),true) = true,
    inference(demodulation,[status(thm)],[c_2387,c_49]) ).

cnf(c_3733,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(X0,n0),true) = true,
    inference(demodulation,[status(thm)],[c_2415,c_49]) ).

cnf(c_3742,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(X1,n1),true) = true,
    inference(demodulation,[status(thm)],[c_2416,c_49]) ).

cnf(c_3750,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(X2,n0),true) = true,
    inference(demodulation,[status(thm)],[c_2417,c_49]) ).

cnf(c_3849,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(n0,X1,n1,X0,sK1_exists_f_Z(n0,X1,n1,X0)),true),true) = true,
    inference(demodulation,[status(thm)],[c_568,c_49]) ).

cnf(c_3882,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(X3,n1),true) = true,
    inference(demodulation,[status(thm)],[c_2418,c_49]) ).

cnf(c_3891,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(n0,X0),true) = true,
    inference(demodulation,[status(thm)],[c_2419,c_49]) ).

cnf(c_3894,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,true,true) = true,
    inference(superposition,[status(thm)],[c_3891,c_54]) ).

cnf(c_3910,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(n1,X1),true) = true,
    inference(demodulation,[status(thm)],[c_2420,c_49]) ).

cnf(c_3924,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(n0,X2),true) = true,
    inference(demodulation,[status(thm)],[c_2421,c_49]) ).

cnf(c_3932,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(n1,X3),true) = true,
    inference(demodulation,[status(thm)],[c_2422,c_49]) ).

cnf(c_3941,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(X0,n1),true) = true,
    inference(demodulation,[status(thm)],[c_2452,c_49]) ).

cnf(c_3949,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(X1,n1),true) = true,
    inference(demodulation,[status(thm)],[c_2453,c_49]) ).

cnf(c_3958,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(X2,n0),true) = true,
    inference(demodulation,[status(thm)],[c_2454,c_49]) ).

cnf(c_3966,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(X3,n1),true) = true,
    inference(demodulation,[status(thm)],[c_2455,c_49]) ).

cnf(c_3975,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(n1,X0),true) = true,
    inference(demodulation,[status(thm)],[c_2456,c_49]) ).

cnf(c_3978,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,true,true) = true,
    inference(superposition,[status(thm)],[c_3975,c_54]) ).

cnf(c_3994,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(n1,X1,n1,X0,sK1_exists_f_Z(n1,X1,n1,X0)),true),true) = true,
    inference(demodulation,[status(thm)],[c_569,c_49]) ).

cnf(c_4024,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(n1,X1),true) = true,
    inference(demodulation,[status(thm)],[c_2457,c_49]) ).

cnf(c_4033,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(n0,X2),true) = true,
    inference(demodulation,[status(thm)],[c_2458,c_49]) ).

cnf(c_4041,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(n1,X3),true) = true,
    inference(demodulation,[status(thm)],[c_2459,c_49]) ).

cnf(c_4052,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(X0,n0),true) = true,
    inference(demodulation,[status(thm)],[c_2655,c_49]) ).

cnf(c_4060,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(X1,n0),true) = true,
    inference(demodulation,[status(thm)],[c_2656,c_49]) ).

cnf(c_4069,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(X2,n1),true) = true,
    inference(demodulation,[status(thm)],[c_2657,c_49]) ).

cnf(c_4077,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(X3,n1),true) = true,
    inference(demodulation,[status(thm)],[c_2658,c_49]) ).

cnf(c_4086,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(n0,X0),true) = true,
    inference(demodulation,[status(thm)],[c_2659,c_49]) ).

cnf(c_4089,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,true,true) = true,
    inference(superposition,[status(thm)],[c_4086,c_54]) ).

cnf(c_4104,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(n0,X1),true) = true,
    inference(demodulation,[status(thm)],[c_2660,c_49]) ).

cnf(c_4113,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(n1,X2),true) = true,
    inference(demodulation,[status(thm)],[c_2661,c_49]) ).

cnf(c_4121,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(n1,X3),true) = true,
    inference(demodulation,[status(thm)],[c_2662,c_49]) ).

cnf(c_4130,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(X0,n1),true) = true,
    inference(demodulation,[status(thm)],[c_2687,c_49]) ).

cnf(c_4139,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(X1,n0),true) = true,
    inference(demodulation,[status(thm)],[c_2688,c_49]) ).

cnf(c_4147,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(X2,n1),true) = true,
    inference(demodulation,[status(thm)],[c_2689,c_49]) ).

cnf(c_4157,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(X3,n1),true) = true,
    inference(demodulation,[status(thm)],[c_2690,c_49]) ).

cnf(c_4166,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(n1,X0),true) = true,
    inference(demodulation,[status(thm)],[c_2691,c_49]) ).

cnf(c_4169,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,true,true) = true,
    inference(superposition,[status(thm)],[c_4166,c_54]) ).

cnf(c_4185,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(n0,X1),true) = true,
    inference(demodulation,[status(thm)],[c_2692,c_49]) ).

cnf(c_4193,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(n1,X2),true) = true,
    inference(demodulation,[status(thm)],[c_2693,c_49]) ).

cnf(c_4201,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(n1,X3),true) = true,
    inference(demodulation,[status(thm)],[c_2694,c_49]) ).

cnf(c_4212,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(X0,n0),true) = true,
    inference(demodulation,[status(thm)],[c_2812,c_49]) ).

cnf(c_4221,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(X1,n1),true) = true,
    inference(demodulation,[status(thm)],[c_2813,c_49]) ).

cnf(c_4229,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(X2,n1),true) = true,
    inference(demodulation,[status(thm)],[c_2814,c_49]) ).

cnf(c_4237,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(X3,n1),true) = true,
    inference(demodulation,[status(thm)],[c_2815,c_49]) ).

cnf(c_4246,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(n0,X0),true) = true,
    inference(demodulation,[status(thm)],[c_2816,c_49]) ).

cnf(c_4249,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,true,true) = true,
    inference(superposition,[status(thm)],[c_4246,c_54]) ).

cnf(c_4265,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(n1,X1),true) = true,
    inference(demodulation,[status(thm)],[c_2817,c_49]) ).

cnf(c_4273,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(n1,X2),true) = true,
    inference(demodulation,[status(thm)],[c_2818,c_49]) ).

cnf(c_4281,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(n1,X3),true) = true,
    inference(demodulation,[status(thm)],[c_2819,c_49]) ).

cnf(c_4292,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(X0,n1),true) = true,
    inference(demodulation,[status(thm)],[c_2860,c_49]) ).

cnf(c_4300,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(X1,n1),true) = true,
    inference(demodulation,[status(thm)],[c_2861,c_49]) ).

cnf(c_4308,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(X2,n1),true) = true,
    inference(demodulation,[status(thm)],[c_2862,c_49]) ).

cnf(c_4316,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(X3,n1),true) = true,
    inference(demodulation,[status(thm)],[c_2863,c_49]) ).

cnf(c_4325,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(n1,X0),true) = true,
    inference(demodulation,[status(thm)],[c_2864,c_49]) ).

cnf(c_4328,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,true,true) = true,
    inference(superposition,[status(thm)],[c_4325,c_54]) ).

cnf(c_4343,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(n1,X1),true) = true,
    inference(demodulation,[status(thm)],[c_2865,c_49]) ).

cnf(c_4351,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(n1,X2),true) = true,
    inference(demodulation,[status(thm)],[c_2866,c_49]) ).

cnf(c_4359,plain,
    ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(n1,X3),true) = true,
    inference(demodulation,[status(thm)],[c_2867,c_49]) ).

cnf(c_4368,plain,
    ifeq2(equalish(X0,X0),true,f(n0,n0,n0,X0,sK1_exists_f_Z(n0,n0,n0,X0)),true) = true,
    inference(demodulation,[status(thm)],[c_2974,c_49]) ).

cnf(c_4391,plain,
    ifeq2(equalish(X0,X0),true,f(n1,n0,n0,X0,sK1_exists_f_Z(n1,n0,n0,X0)),true) = true,
    inference(demodulation,[status(thm)],[c_2975,c_49]) ).

cnf(c_4416,plain,
    ifeq2(equalish(X0,X0),true,f(n0,n1,n0,X0,sK1_exists_f_Z(n0,n1,n0,X0)),true) = true,
    inference(demodulation,[status(thm)],[c_3147,c_49]) ).

cnf(c_4442,plain,
    ifeq2(equalish(X0,X0),true,f(n1,n1,n0,X0,sK1_exists_f_Z(n1,n1,n0,X0)),true) = true,
    inference(demodulation,[status(thm)],[c_3148,c_49]) ).

cnf(c_4470,plain,
    ifeq2(equalish(X0,X0),true,f(n0,n0,n1,X0,sK1_exists_f_Z(n0,n0,n1,X0)),true) = true,
    inference(demodulation,[status(thm)],[c_3549,c_49]) ).

cnf(c_4498,plain,
    ifeq2(equalish(X0,X0),true,f(n1,n0,n1,X0,sK1_exists_f_Z(n1,n0,n1,X0)),true) = true,
    inference(demodulation,[status(thm)],[c_3550,c_49]) ).

cnf(c_4524,plain,
    ifeq2(equalish(X0,X0),true,f(n0,n1,n1,X0,sK1_exists_f_Z(n0,n1,n1,X0)),true) = true,
    inference(demodulation,[status(thm)],[c_3690,c_49]) ).

cnf(c_4549,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(n0,n0,X1,X0,sK1_exists_f_Z(n0,n0,X1,X0)),true),true) = true,
    inference(demodulation,[status(thm)],[c_680,c_49]) ).

cnf(c_4586,plain,
    ifeq2(equalish(X0,X0),true,f(n1,n1,n1,X0,sK1_exists_f_Z(n1,n1,n1,X0)),true) = true,
    inference(demodulation,[status(thm)],[c_3691,c_49]) ).

cnf(c_4609,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(n1,n0,X1,X0,sK1_exists_f_Z(n1,n0,X1,X0)),true),true) = true,
    inference(demodulation,[status(thm)],[c_681,c_49]) ).

cnf(c_4651,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(n0,n1,X1,X0,sK1_exists_f_Z(n0,n1,X1,X0)),true),true) = true,
    inference(demodulation,[status(thm)],[c_784,c_49]) ).

cnf(c_4691,plain,
    ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(n1,n1,X1,X0,sK1_exists_f_Z(n1,n1,X1,X0)),true),true) = true,
    inference(demodulation,[status(thm)],[c_785,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : MSC014-10 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13  % Command  : run_iprover %s %d SAT
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu Aug 24 13:48:40 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  Running model finding
% 0.19/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --no_cores 8 --heuristic_context fnt --schedule fnt_schedule /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.57/1.14  % SZS status Started for theBenchmark.p
% 3.57/1.14  % SZS status Satisfiable for theBenchmark.p
% 3.57/1.14  
% 3.57/1.14  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.57/1.14  
% 3.57/1.14  ------  iProver source info
% 3.57/1.14  
% 3.57/1.14  git: date: 2023-05-31 18:12:56 +0000
% 3.57/1.14  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.57/1.14  git: non_committed_changes: false
% 3.57/1.14  git: last_make_outside_of_git: false
% 3.57/1.14  
% 3.57/1.14  ------ Parsing...successful
% 3.57/1.14  
% 3.57/1.14  
% 3.57/1.14  
% 3.57/1.14  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.57/1.14  
% 3.57/1.14  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.57/1.14  
% 3.57/1.14  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.57/1.14  ------ Proving...
% 3.57/1.14  ------ Problem Properties 
% 3.57/1.14  
% 3.57/1.14  
% 3.57/1.14  clauses                                 12
% 3.57/1.14  conjectures                             1
% 3.57/1.14  EPR                                     1
% 3.57/1.14  Horn                                    12
% 3.57/1.14  unary                                   12
% 3.57/1.14  binary                                  0
% 3.57/1.14  lits                                    12
% 3.57/1.14  lits eq                                 12
% 3.57/1.14  fd_pure                                 0
% 3.57/1.14  fd_pseudo                               0
% 3.57/1.14  fd_cond                                 0
% 3.57/1.14  fd_pseudo_cond                          0
% 3.57/1.14  AC symbols                              0
% 3.57/1.14  
% 3.57/1.14  ------ Schedule UEQ
% 3.57/1.14  
% 3.57/1.14  ------ Option_UEQ Time Limit: 10.
% 3.57/1.14  
% 3.57/1.14  
% 3.57/1.14  ------ 
% 3.57/1.14  Current options:
% 3.57/1.14  ------ 
% 3.57/1.14  
% 3.57/1.14  
% 3.57/1.14  
% 3.57/1.14  
% 3.57/1.14  ------ Proving...
% 3.57/1.14  
% 3.57/1.14  
% 3.57/1.14  % SZS status Satisfiable for theBenchmark.p
% 3.57/1.14  
% 3.57/1.14  % SZS output start Saturation for theBenchmark.p
% See solution above
% 3.57/1.14  
% 3.57/1.14  ------                               Statistics
% 3.57/1.14  
% 3.57/1.14  ------ Problem properties
% 3.57/1.14  
% 3.57/1.14  clauses:                                12
% 3.57/1.14  conjectures:                            1
% 3.57/1.14  epr:                                    1
% 3.57/1.14  horn:                                   12
% 3.57/1.14  ground:                                 5
% 3.57/1.14  unary:                                  12
% 3.57/1.14  binary:                                 0
% 3.57/1.14  lits:                                   12
% 3.57/1.14  lits_eq:                                12
% 3.57/1.14  fd_pure:                                0
% 3.57/1.14  fd_pseudo:                              0
% 3.57/1.14  fd_cond:                                0
% 3.57/1.14  fd_pseudo_cond:                         0
% 3.57/1.14  ac_symbols:                             0
% 3.57/1.14  
% 3.57/1.14  ------ General
% 3.57/1.14  
% 3.57/1.14  abstr_ref_over_cycles:                  0
% 3.57/1.14  abstr_ref_under_cycles:                 0
% 3.57/1.14  gc_basic_clause_elim:                   0
% 3.57/1.14  num_of_symbols:                         106
% 3.57/1.14  num_of_terms:                           7871
% 3.57/1.14  
% 3.57/1.14  parsing_time:                           0.
% 3.57/1.14  unif_index_cands_time:                  0.008
% 3.57/1.14  unif_index_add_time:                    0.004
% 3.57/1.14  orderings_time:                         0.
% 3.57/1.14  out_proof_time:                         0.015
% 3.57/1.14  total_time:                             0.27
% 3.57/1.14  
% 3.57/1.14  ------ Preprocessing
% 3.57/1.14  
% 3.57/1.14  num_of_splits:                          0
% 3.57/1.14  num_of_split_atoms:                     0
% 3.57/1.14  num_of_reused_defs:                     0
% 3.57/1.14  num_eq_ax_congr_red:                    16
% 3.57/1.14  num_of_sem_filtered_clauses:            0
% 3.57/1.14  num_of_subtypes:                        0
% 3.57/1.14  monotx_restored_types:                  0
% 3.57/1.14  sat_num_of_epr_types:                   0
% 3.57/1.14  sat_num_of_non_cyclic_types:            0
% 3.57/1.14  sat_guarded_non_collapsed_types:        0
% 3.57/1.14  num_pure_diseq_elim:                    0
% 3.57/1.14  simp_replaced_by:                       0
% 3.57/1.14  res_preprocessed:                       0
% 3.57/1.14  sup_preprocessed:                       0
% 3.57/1.14  prep_upred:                             0
% 3.57/1.14  prep_unflattend:                        0
% 3.57/1.14  prep_well_definedness:                  0
% 3.57/1.14  smt_new_axioms:                         0
% 3.57/1.14  pred_elim_cands:                        0
% 3.57/1.14  pred_elim:                              0
% 3.57/1.14  pred_elim_cl:                           0
% 3.57/1.14  pred_elim_cycles:                       0
% 3.57/1.14  merged_defs:                            0
% 3.57/1.14  merged_defs_ncl:                        0
% 3.57/1.14  bin_hyper_res:                          0
% 3.57/1.14  prep_cycles:                            2
% 3.57/1.14  
% 3.57/1.14  splitting_time:                         0.
% 3.57/1.14  sem_filter_time:                        0.001
% 3.57/1.14  monotx_time:                            0.
% 3.57/1.14  subtype_inf_time:                       0.
% 3.57/1.14  res_prep_time:                          0.018
% 3.57/1.14  sup_prep_time:                          0.005
% 3.57/1.14  pred_elim_time:                         0.
% 3.57/1.14  bin_hyper_res_time:                     0.
% 3.57/1.14  prep_time_total:                        0.026
% 3.57/1.14  
% 3.57/1.14  ------ Propositional Solver
% 3.57/1.14  
% 3.57/1.14  prop_solver_calls:                      13
% 3.57/1.14  prop_fast_solver_calls:                 628
% 3.57/1.14  smt_solver_calls:                       0
% 3.57/1.14  smt_fast_solver_calls:                  0
% 3.57/1.14  prop_num_of_clauses:                    1006
% 3.57/1.14  prop_preprocess_simplified:             632
% 3.57/1.14  prop_fo_subsumed:                       0
% 3.57/1.14  
% 3.57/1.14  prop_solver_time:                       0.
% 3.57/1.14  prop_fast_solver_time:                  0.
% 3.57/1.14  prop_unsat_core_time:                   0.
% 3.57/1.14  smt_solver_time:                        0.
% 3.57/1.14  smt_fast_solver_time:                   0.
% 3.57/1.14  
% 3.57/1.14  ------ QBF
% 3.57/1.14  
% 3.57/1.14  qbf_q_res:                              0
% 3.57/1.14  qbf_num_tautologies:                    0
% 3.57/1.14  qbf_prep_cycles:                        0
% 3.57/1.14  
% 3.57/1.14  ------ BMC1
% 3.57/1.14  
% 3.57/1.14  bmc1_current_bound:                     -1
% 3.57/1.14  bmc1_last_solved_bound:                 -1
% 3.57/1.14  bmc1_unsat_core_size:                   -1
% 3.57/1.14  bmc1_unsat_core_parents_size:           -1
% 3.57/1.14  bmc1_merge_next_fun:                    0
% 3.57/1.14  
% 3.57/1.14  bmc1_unsat_core_clauses_time:           0.
% 3.57/1.14  
% 3.57/1.14  ------ Instantiation
% 3.57/1.14  
% 3.57/1.14  inst_num_of_clauses:                    66
% 3.57/1.14  inst_num_in_passive:                    5
% 3.57/1.14  inst_num_in_active:                     36
% 3.57/1.14  inst_num_of_loops:                      42
% 3.57/1.14  inst_num_in_unprocessed:                25
% 3.57/1.14  inst_num_of_learning_restarts:          0
% 3.57/1.14  inst_num_moves_active_passive:          0
% 3.57/1.14  inst_lit_activity:                      0
% 3.57/1.14  inst_lit_activity_moves:                0
% 3.57/1.14  inst_num_tautologies:                   0
% 3.57/1.14  inst_num_prop_implied:                  0
% 3.57/1.14  inst_num_existing_simplified:           0
% 3.57/1.14  inst_num_eq_res_simplified:             0
% 3.57/1.14  inst_num_child_elim:                    0
% 3.57/1.14  inst_num_of_dismatching_blockings:      0
% 3.57/1.14  inst_num_of_non_proper_insts:           28
% 3.57/1.14  inst_num_of_duplicates:                 0
% 3.57/1.14  inst_inst_num_from_inst_to_res:         0
% 3.57/1.14  
% 3.57/1.14  inst_time_sim_new:                      0.002
% 3.57/1.14  inst_time_sim_given:                    0.
% 3.57/1.14  inst_time_dismatching_checking:         0.
% 3.57/1.14  inst_time_total:                        0.004
% 3.57/1.14  
% 3.57/1.14  ------ Resolution
% 3.57/1.14  
% 3.57/1.14  res_num_of_clauses:                     18
% 3.57/1.14  res_num_in_passive:                     0
% 3.57/1.14  res_num_in_active:                      0
% 3.57/1.14  res_num_of_loops:                       32
% 3.57/1.14  res_forward_subset_subsumed:            7
% 3.57/1.14  res_backward_subset_subsumed:           0
% 3.57/1.14  res_forward_subsumed:                   0
% 3.57/1.14  res_backward_subsumed:                  0
% 3.57/1.14  res_forward_subsumption_resolution:     0
% 3.57/1.14  res_backward_subsumption_resolution:    0
% 3.57/1.14  res_clause_to_clause_subsumption:       164
% 3.57/1.14  res_subs_bck_cnt:                       4
% 3.57/1.14  res_orphan_elimination:                 0
% 3.57/1.14  res_tautology_del:                      5
% 3.57/1.14  res_num_eq_res_simplified:              0
% 3.57/1.14  res_num_sel_changes:                    0
% 3.57/1.14  res_moves_from_active_to_pass:          0
% 3.57/1.14  
% 3.57/1.14  res_time_sim_new:                       0.
% 3.57/1.14  res_time_sim_fw_given:                  0.
% 3.57/1.14  res_time_sim_bw_given:                  0.
% 3.57/1.14  res_time_total:                         0.017
% 3.57/1.14  
% 3.57/1.14  ------ Superposition
% 3.57/1.14  
% 3.57/1.14  sup_num_of_clauses:                     468
% 3.57/1.14  sup_num_in_active:                      244
% 3.57/1.14  sup_num_in_passive:                     224
% 3.57/1.14  sup_num_of_loops:                       372
% 3.57/1.14  sup_fw_superposition:                   797
% 3.57/1.14  sup_bw_superposition:                   2275
% 3.57/1.14  sup_eq_factoring:                       0
% 3.57/1.14  sup_eq_resolution:                      0
% 3.57/1.14  sup_immediate_simplified:               0
% 3.57/1.14  sup_given_eliminated:                   0
% 3.57/1.14  comparisons_done:                       1093
% 3.57/1.14  comparisons_avoided:                    0
% 3.57/1.14  comparisons_inc_criteria:               0
% 3.57/1.14  sup_deep_cl_discarded:                  0
% 3.57/1.14  sup_num_of_deepenings:                  0
% 3.57/1.14  sup_num_of_restarts:                    0
% 3.57/1.14  
% 3.57/1.14  sup_time_generating:                    0.067
% 3.57/1.14  sup_time_sim_fw_full:                   0.016
% 3.57/1.14  sup_time_sim_bw_full:                   0.036
% 3.57/1.14  sup_time_sim_fw_immed:                  0.019
% 3.57/1.14  sup_time_sim_bw_immed:                  0.011
% 3.57/1.14  sup_time_prep_sim_fw_input:             0.
% 3.57/1.14  sup_time_prep_sim_bw_input:             0.004
% 3.57/1.14  sup_time_total:                         0.197
% 3.57/1.14  
% 3.57/1.14  ------ Simplifications
% 3.57/1.14  
% 3.57/1.14  sim_repeated:                           1799
% 3.57/1.14  sim_fw_subset_subsumed:                 0
% 3.57/1.14  sim_bw_subset_subsumed:                 0
% 3.57/1.14  sim_fw_subsumed:                        0
% 3.57/1.14  sim_bw_subsumed:                        0
% 3.57/1.14  sim_fw_subsumption_res:                 0
% 3.57/1.14  sim_bw_subsumption_res:                 0
% 3.57/1.14  sim_fw_unit_subs:                       0
% 3.57/1.14  sim_bw_unit_subs:                       128
% 3.57/1.14  sim_tautology_del:                      0
% 3.57/1.14  sim_eq_tautology_del:                   225
% 3.57/1.14  sim_eq_res_simp:                        0
% 3.57/1.14  sim_fw_demodulated:                     224
% 3.57/1.14  sim_bw_demodulated:                     0
% 3.57/1.14  sim_encompassment_demod:                0
% 3.57/1.14  sim_light_normalised:                   765
% 3.57/1.14  sim_ac_normalised:                      0
% 3.57/1.14  sim_joinable_taut:                      0
% 3.57/1.14  sim_joinable_simp:                      0
% 3.57/1.14  sim_fw_ac_demod:                        0
% 3.57/1.14  sim_bw_ac_demod:                        0
% 3.57/1.14  sim_smt_subsumption:                    0
% 3.57/1.14  sim_smt_simplified:                     0
% 3.57/1.14  sim_ground_joinable:                    0
% 3.57/1.14  sim_bw_ground_joinable:                 0
% 3.57/1.14  sim_connectedness:                      0
% 3.57/1.14  
% 3.57/1.14  sim_time_fw_subset_subs:                0.002
% 3.57/1.14  sim_time_bw_subset_subs:                0.
% 3.57/1.14  sim_time_fw_subs:                       0.
% 3.57/1.14  sim_time_bw_subs:                       0.
% 3.57/1.14  sim_time_fw_subs_res:                   0.
% 3.57/1.14  sim_time_bw_subs_res:                   0.
% 3.57/1.14  sim_time_fw_unit_subs:                  0.004
% 3.57/1.14  sim_time_bw_unit_subs:                  0.008
% 3.57/1.14  sim_time_tautology_del:                 0.
% 3.57/1.14  sim_time_eq_tautology_del:              0.
% 3.57/1.14  sim_time_eq_res_simp:                   0.
% 3.57/1.14  sim_time_fw_demod:                      0.006
% 3.57/1.14  sim_time_bw_demod:                      0.003
% 3.57/1.14  sim_time_light_norm:                    0.009
% 3.57/1.14  sim_time_joinable:                      0.
% 3.57/1.14  sim_time_ac_norm:                       0.
% 3.57/1.14  sim_time_fw_ac_demod:                   0.
% 3.57/1.14  sim_time_bw_ac_demod:                   0.
% 3.57/1.14  sim_time_smt_subs:                      0.
% 3.57/1.14  sim_time_fw_gjoin:                      0.005
% 3.57/1.14  sim_time_fw_connected:                  0.
% 3.57/1.14  
% 3.57/1.15  
%------------------------------------------------------------------------------