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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET730+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n013.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  : 600s
% DateTime : Tue Jul 19 00:13:44 EDT 2022

% Result   : Theorem 31.64s 5.72s
% Output   : CNFRefutation 31.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   22
% Syntax   : Number of clauses     :   83 (  23 unt;  39 nHn;  73 RR)
%            Number of literals    :  230 (  16 equ;  97 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-4 aty)
%            Number of variables   :  143 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_131,negated_conjecture,
    ( apply(esk41_0,X1,X2)
    | ~ member(X2,esk45_0)
    | ~ member(X1,esk43_0)
    | ~ apply(esk42_0,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-41i62_b3/input.p',i_0_131) ).

cnf(i_0_102,plain,
    ( maps(X1,X2,X3)
    | member(esk32_3(X1,X2,X3),X2)
    | apply(X1,esk33_3(X1,X2,X3),esk34_3(X1,X2,X3)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-41i62_b3/input.p',i_0_102) ).

cnf(i_0_104,plain,
    ( maps(X1,X2,X3)
    | member(esk32_3(X1,X2,X3),X2)
    | member(esk34_3(X1,X2,X3),X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-41i62_b3/input.p',i_0_104) ).

cnf(i_0_101,plain,
    ( maps(X1,X2,X3)
    | member(esk32_3(X1,X2,X3),X2)
    | apply(X1,esk33_3(X1,X2,X3),esk35_3(X1,X2,X3)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-41i62_b3/input.p',i_0_101) ).

cnf(i_0_106,plain,
    ( X1 = X2
    | ~ member(X2,X3)
    | ~ member(X1,X3)
    | ~ member(X4,X5)
    | ~ apply(X6,X4,X2)
    | ~ apply(X6,X4,X1)
    | ~ maps(X6,X5,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-41i62_b3/input.p',i_0_106) ).

cnf(i_0_134,negated_conjecture,
    maps(esk41_0,esk43_0,esk44_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-41i62_b3/input.p',i_0_134) ).

cnf(i_0_105,plain,
    ( maps(X1,X2,X3)
    | member(esk32_3(X1,X2,X3),X2)
    | member(esk33_3(X1,X2,X3),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-41i62_b3/input.p',i_0_105) ).

cnf(i_0_129,negated_conjecture,
    ~ maps(esk42_0,esk43_0,esk45_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-41i62_b3/input.p',i_0_129) ).

cnf(i_0_103,plain,
    ( maps(X1,X2,X3)
    | member(esk32_3(X1,X2,X3),X2)
    | member(esk35_3(X1,X2,X3),X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-41i62_b3/input.p',i_0_103) ).

cnf(i_0_41,plain,
    ( member(X1,image2(X2,X3))
    | ~ member(X4,X3)
    | ~ apply(X2,X4,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-41i62_b3/input.p',i_0_41) ).

cnf(i_0_121,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-41i62_b3/input.p',i_0_121) ).

cnf(i_0_133,negated_conjecture,
    subset(esk45_0,esk44_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-41i62_b3/input.p',i_0_133) ).

cnf(i_0_132,negated_conjecture,
    image2(esk41_0,esk43_0) = esk45_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-41i62_b3/input.p',i_0_132) ).

cnf(i_0_107,plain,
    ( apply(X1,X2,esk31_4(X1,X3,X4,X2))
    | ~ member(X2,X3)
    | ~ maps(X1,X3,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-41i62_b3/input.p',i_0_107) ).

cnf(i_0_100,plain,
    ( maps(X1,X2,X3)
    | member(esk32_3(X1,X2,X3),X2)
    | esk35_3(X1,X2,X3) != esk34_3(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-41i62_b3/input.p',i_0_100) ).

cnf(i_0_130,negated_conjecture,
    ( apply(esk42_0,X1,X2)
    | ~ member(X2,esk45_0)
    | ~ member(X1,esk43_0)
    | ~ apply(esk41_0,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-41i62_b3/input.p',i_0_130) ).

cnf(i_0_96,plain,
    ( maps(X1,X2,X3)
    | apply(X1,esk33_3(X1,X2,X3),esk34_3(X1,X2,X3))
    | ~ member(X4,X3)
    | ~ apply(X1,esk32_3(X1,X2,X3),X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-41i62_b3/input.p',i_0_96) ).

cnf(i_0_98,plain,
    ( maps(X1,X2,X3)
    | member(esk34_3(X1,X2,X3),X3)
    | ~ member(X4,X3)
    | ~ apply(X1,esk32_3(X1,X2,X3),X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-41i62_b3/input.p',i_0_98) ).

cnf(i_0_99,plain,
    ( maps(X1,X2,X3)
    | member(esk33_3(X1,X2,X3),X2)
    | ~ member(X4,X3)
    | ~ apply(X1,esk32_3(X1,X2,X3),X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-41i62_b3/input.p',i_0_99) ).

cnf(i_0_95,plain,
    ( maps(X1,X2,X3)
    | apply(X1,esk33_3(X1,X2,X3),esk35_3(X1,X2,X3))
    | ~ member(X4,X3)
    | ~ apply(X1,esk32_3(X1,X2,X3),X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-41i62_b3/input.p',i_0_95) ).

cnf(i_0_97,plain,
    ( maps(X1,X2,X3)
    | member(esk35_3(X1,X2,X3),X3)
    | ~ member(X4,X3)
    | ~ apply(X1,esk32_3(X1,X2,X3),X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-41i62_b3/input.p',i_0_97) ).

cnf(i_0_94,plain,
    ( maps(X1,X2,X3)
    | esk35_3(X1,X2,X3) != esk34_3(X1,X2,X3)
    | ~ member(X4,X3)
    | ~ apply(X1,esk32_3(X1,X2,X3),X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-41i62_b3/input.p',i_0_94) ).

cnf(c_0_157,negated_conjecture,
    ( apply(esk41_0,X1,X2)
    | ~ member(X2,esk45_0)
    | ~ member(X1,esk43_0)
    | ~ apply(esk42_0,X1,X2) ),
    i_0_131 ).

cnf(c_0_158,plain,
    ( maps(X1,X2,X3)
    | member(esk32_3(X1,X2,X3),X2)
    | apply(X1,esk33_3(X1,X2,X3),esk34_3(X1,X2,X3)) ),
    i_0_102 ).

cnf(c_0_159,negated_conjecture,
    ( apply(esk41_0,esk33_3(esk42_0,X1,X2),esk34_3(esk42_0,X1,X2))
    | member(esk32_3(esk42_0,X1,X2),X1)
    | maps(esk42_0,X1,X2)
    | ~ member(esk34_3(esk42_0,X1,X2),esk45_0)
    | ~ member(esk33_3(esk42_0,X1,X2),esk43_0) ),
    inference(spm,[status(thm)],[c_0_157,c_0_158]) ).

cnf(c_0_160,plain,
    ( maps(X1,X2,X3)
    | member(esk32_3(X1,X2,X3),X2)
    | member(esk34_3(X1,X2,X3),X3) ),
    i_0_104 ).

cnf(c_0_161,plain,
    ( maps(X1,X2,X3)
    | member(esk32_3(X1,X2,X3),X2)
    | apply(X1,esk33_3(X1,X2,X3),esk35_3(X1,X2,X3)) ),
    i_0_101 ).

cnf(c_0_162,plain,
    ( X1 = X2
    | ~ member(X2,X3)
    | ~ member(X1,X3)
    | ~ member(X4,X5)
    | ~ apply(X6,X4,X2)
    | ~ apply(X6,X4,X1)
    | ~ maps(X6,X5,X3) ),
    i_0_106 ).

cnf(c_0_163,negated_conjecture,
    maps(esk41_0,esk43_0,esk44_0),
    i_0_134 ).

cnf(c_0_164,plain,
    ( apply(esk41_0,esk33_3(esk42_0,X1,esk45_0),esk34_3(esk42_0,X1,esk45_0))
    | member(esk32_3(esk42_0,X1,esk45_0),X1)
    | maps(esk42_0,X1,esk45_0)
    | ~ member(esk33_3(esk42_0,X1,esk45_0),esk43_0) ),
    inference(spm,[status(thm)],[c_0_159,c_0_160]) ).

cnf(c_0_165,plain,
    ( maps(X1,X2,X3)
    | member(esk32_3(X1,X2,X3),X2)
    | member(esk33_3(X1,X2,X3),X2) ),
    i_0_105 ).

cnf(c_0_166,negated_conjecture,
    ~ maps(esk42_0,esk43_0,esk45_0),
    i_0_129 ).

cnf(c_0_167,negated_conjecture,
    ( apply(esk41_0,esk33_3(esk42_0,X1,X2),esk35_3(esk42_0,X1,X2))
    | member(esk32_3(esk42_0,X1,X2),X1)
    | maps(esk42_0,X1,X2)
    | ~ member(esk35_3(esk42_0,X1,X2),esk45_0)
    | ~ member(esk33_3(esk42_0,X1,X2),esk43_0) ),
    inference(spm,[status(thm)],[c_0_157,c_0_161]) ).

cnf(c_0_168,plain,
    ( maps(X1,X2,X3)
    | member(esk32_3(X1,X2,X3),X2)
    | member(esk35_3(X1,X2,X3),X3) ),
    i_0_103 ).

cnf(c_0_169,negated_conjecture,
    ( X1 = X2
    | ~ apply(esk41_0,X3,X2)
    | ~ apply(esk41_0,X3,X1)
    | ~ member(X3,esk43_0)
    | ~ member(X2,esk44_0)
    | ~ member(X1,esk44_0) ),
    inference(spm,[status(thm)],[c_0_162,c_0_163]) ).

cnf(c_0_170,plain,
    ( apply(esk41_0,esk33_3(esk42_0,esk43_0,esk45_0),esk34_3(esk42_0,esk43_0,esk45_0))
    | member(esk32_3(esk42_0,esk43_0,esk45_0),esk43_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_166]) ).

cnf(c_0_171,plain,
    ( apply(esk41_0,esk33_3(esk42_0,X1,esk45_0),esk35_3(esk42_0,X1,esk45_0))
    | member(esk32_3(esk42_0,X1,esk45_0),X1)
    | maps(esk42_0,X1,esk45_0)
    | ~ member(esk33_3(esk42_0,X1,esk45_0),esk43_0) ),
    inference(spm,[status(thm)],[c_0_167,c_0_168]) ).

cnf(c_0_172,plain,
    ( member(X1,image2(X2,X3))
    | ~ member(X4,X3)
    | ~ apply(X2,X4,X1) ),
    i_0_41 ).

cnf(c_0_173,negated_conjecture,
    ( X1 = esk34_3(esk42_0,esk43_0,esk45_0)
    | member(esk32_3(esk42_0,esk43_0,esk45_0),esk43_0)
    | ~ apply(esk41_0,esk33_3(esk42_0,esk43_0,esk45_0),X1)
    | ~ member(esk33_3(esk42_0,esk43_0,esk45_0),esk43_0)
    | ~ member(esk34_3(esk42_0,esk43_0,esk45_0),esk44_0)
    | ~ member(X1,esk44_0) ),
    inference(spm,[status(thm)],[c_0_169,c_0_170]) ).

cnf(c_0_174,plain,
    ( apply(esk41_0,esk33_3(esk42_0,esk43_0,esk45_0),esk35_3(esk42_0,esk43_0,esk45_0))
    | member(esk32_3(esk42_0,esk43_0,esk45_0),esk43_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_165]),c_0_166]) ).

cnf(c_0_175,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    i_0_121 ).

cnf(c_0_176,negated_conjecture,
    subset(esk45_0,esk44_0),
    i_0_133 ).

cnf(c_0_177,plain,
    ( member(esk34_3(esk42_0,esk43_0,esk45_0),image2(esk41_0,X1))
    | member(esk32_3(esk42_0,esk43_0,esk45_0),esk43_0)
    | ~ member(esk33_3(esk42_0,esk43_0,esk45_0),X1) ),
    inference(spm,[status(thm)],[c_0_172,c_0_170]) ).

cnf(c_0_178,negated_conjecture,
    image2(esk41_0,esk43_0) = esk45_0,
    i_0_132 ).

cnf(c_0_179,plain,
    ( esk35_3(esk42_0,esk43_0,esk45_0) = esk34_3(esk42_0,esk43_0,esk45_0)
    | member(esk32_3(esk42_0,esk43_0,esk45_0),esk43_0)
    | ~ member(esk33_3(esk42_0,esk43_0,esk45_0),esk43_0)
    | ~ member(esk34_3(esk42_0,esk43_0,esk45_0),esk44_0)
    | ~ member(esk35_3(esk42_0,esk43_0,esk45_0),esk44_0) ),
    inference(spm,[status(thm)],[c_0_173,c_0_174]) ).

cnf(c_0_180,negated_conjecture,
    ( member(X1,esk44_0)
    | ~ member(X1,esk45_0) ),
    inference(spm,[status(thm)],[c_0_175,c_0_176]) ).

cnf(c_0_181,plain,
    ( member(esk34_3(esk42_0,esk43_0,esk45_0),esk45_0)
    | member(esk32_3(esk42_0,esk43_0,esk45_0),esk43_0) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_165]),c_0_178]),c_0_166]) ).

cnf(c_0_182,plain,
    ( member(esk35_3(esk42_0,esk43_0,esk45_0),image2(esk41_0,X1))
    | member(esk32_3(esk42_0,esk43_0,esk45_0),esk43_0)
    | ~ member(esk33_3(esk42_0,esk43_0,esk45_0),X1) ),
    inference(spm,[status(thm)],[c_0_172,c_0_174]) ).

cnf(c_0_183,plain,
    ( esk35_3(esk42_0,esk43_0,esk45_0) = esk34_3(esk42_0,esk43_0,esk45_0)
    | member(esk32_3(esk42_0,esk43_0,esk45_0),esk43_0)
    | ~ member(esk34_3(esk42_0,esk43_0,esk45_0),esk44_0)
    | ~ member(esk35_3(esk42_0,esk43_0,esk45_0),esk44_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_165]),c_0_166]) ).

cnf(c_0_184,negated_conjecture,
    ( member(esk34_3(esk42_0,esk43_0,esk45_0),esk44_0)
    | member(esk32_3(esk42_0,esk43_0,esk45_0),esk43_0) ),
    inference(spm,[status(thm)],[c_0_180,c_0_181]) ).

cnf(c_0_185,plain,
    ( member(esk35_3(esk42_0,esk43_0,esk45_0),esk45_0)
    | member(esk32_3(esk42_0,esk43_0,esk45_0),esk43_0) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_165]),c_0_178]),c_0_166]) ).

cnf(c_0_186,negated_conjecture,
    ( esk35_3(esk42_0,esk43_0,esk45_0) = esk34_3(esk42_0,esk43_0,esk45_0)
    | member(esk32_3(esk42_0,esk43_0,esk45_0),esk43_0)
    | ~ member(esk35_3(esk42_0,esk43_0,esk45_0),esk44_0) ),
    inference(spm,[status(thm)],[c_0_183,c_0_184]) ).

cnf(c_0_187,negated_conjecture,
    ( member(esk35_3(esk42_0,esk43_0,esk45_0),esk44_0)
    | member(esk32_3(esk42_0,esk43_0,esk45_0),esk43_0) ),
    inference(spm,[status(thm)],[c_0_180,c_0_185]) ).

cnf(c_0_188,plain,
    ( apply(X1,X2,esk31_4(X1,X3,X4,X2))
    | ~ member(X2,X3)
    | ~ maps(X1,X3,X4) ),
    i_0_107 ).

cnf(c_0_189,plain,
    ( maps(X1,X2,X3)
    | member(esk32_3(X1,X2,X3),X2)
    | esk35_3(X1,X2,X3) != esk34_3(X1,X2,X3) ),
    i_0_100 ).

cnf(c_0_190,negated_conjecture,
    ( esk35_3(esk42_0,esk43_0,esk45_0) = esk34_3(esk42_0,esk43_0,esk45_0)
    | member(esk32_3(esk42_0,esk43_0,esk45_0),esk43_0) ),
    inference(spm,[status(thm)],[c_0_186,c_0_187]) ).

cnf(c_0_191,negated_conjecture,
    ( apply(esk41_0,X1,esk31_4(esk41_0,esk43_0,esk44_0,X1))
    | ~ member(X1,esk43_0) ),
    inference(spm,[status(thm)],[c_0_188,c_0_163]) ).

cnf(c_0_192,plain,
    member(esk32_3(esk42_0,esk43_0,esk45_0),esk43_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_166]) ).

cnf(c_0_193,negated_conjecture,
    apply(esk41_0,esk32_3(esk42_0,esk43_0,esk45_0),esk31_4(esk41_0,esk43_0,esk44_0,esk32_3(esk42_0,esk43_0,esk45_0))),
    inference(spm,[status(thm)],[c_0_191,c_0_192]) ).

cnf(c_0_194,negated_conjecture,
    ( apply(esk42_0,X1,X2)
    | ~ member(X2,esk45_0)
    | ~ member(X1,esk43_0)
    | ~ apply(esk41_0,X1,X2) ),
    i_0_130 ).

cnf(c_0_195,plain,
    ( member(esk31_4(esk41_0,esk43_0,esk44_0,esk32_3(esk42_0,esk43_0,esk45_0)),image2(esk41_0,X1))
    | ~ member(esk32_3(esk42_0,esk43_0,esk45_0),X1) ),
    inference(spm,[status(thm)],[c_0_172,c_0_193]) ).

cnf(c_0_196,negated_conjecture,
    ( apply(esk42_0,esk32_3(esk42_0,esk43_0,esk45_0),esk31_4(esk41_0,esk43_0,esk44_0,esk32_3(esk42_0,esk43_0,esk45_0)))
    | ~ member(esk31_4(esk41_0,esk43_0,esk44_0,esk32_3(esk42_0,esk43_0,esk45_0)),esk45_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_193]),c_0_192])]) ).

cnf(c_0_197,plain,
    member(esk31_4(esk41_0,esk43_0,esk44_0,esk32_3(esk42_0,esk43_0,esk45_0)),esk45_0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_192]),c_0_178]) ).

cnf(c_0_198,plain,
    ( maps(X1,X2,X3)
    | apply(X1,esk33_3(X1,X2,X3),esk34_3(X1,X2,X3))
    | ~ member(X4,X3)
    | ~ apply(X1,esk32_3(X1,X2,X3),X4) ),
    i_0_96 ).

cnf(c_0_199,negated_conjecture,
    apply(esk42_0,esk32_3(esk42_0,esk43_0,esk45_0),esk31_4(esk41_0,esk43_0,esk44_0,esk32_3(esk42_0,esk43_0,esk45_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_196,c_0_197])]) ).

cnf(c_0_200,plain,
    ( maps(X1,X2,X3)
    | member(esk34_3(X1,X2,X3),X3)
    | ~ member(X4,X3)
    | ~ apply(X1,esk32_3(X1,X2,X3),X4) ),
    i_0_98 ).

cnf(c_0_201,plain,
    ( maps(X1,X2,X3)
    | member(esk33_3(X1,X2,X3),X2)
    | ~ member(X4,X3)
    | ~ apply(X1,esk32_3(X1,X2,X3),X4) ),
    i_0_99 ).

cnf(c_0_202,plain,
    apply(esk42_0,esk33_3(esk42_0,esk43_0,esk45_0),esk34_3(esk42_0,esk43_0,esk45_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_197])]),c_0_166]) ).

cnf(c_0_203,plain,
    member(esk34_3(esk42_0,esk43_0,esk45_0),esk45_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_199]),c_0_197])]),c_0_166]) ).

cnf(c_0_204,plain,
    member(esk33_3(esk42_0,esk43_0,esk45_0),esk43_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_199]),c_0_197])]),c_0_166]) ).

cnf(c_0_205,plain,
    ( maps(X1,X2,X3)
    | apply(X1,esk33_3(X1,X2,X3),esk35_3(X1,X2,X3))
    | ~ member(X4,X3)
    | ~ apply(X1,esk32_3(X1,X2,X3),X4) ),
    i_0_95 ).

cnf(c_0_206,plain,
    ( maps(X1,X2,X3)
    | member(esk35_3(X1,X2,X3),X3)
    | ~ member(X4,X3)
    | ~ apply(X1,esk32_3(X1,X2,X3),X4) ),
    i_0_97 ).

cnf(c_0_207,negated_conjecture,
    apply(esk41_0,esk33_3(esk42_0,esk43_0,esk45_0),esk34_3(esk42_0,esk43_0,esk45_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_202]),c_0_203]),c_0_204])]) ).

cnf(c_0_208,negated_conjecture,
    member(esk34_3(esk42_0,esk43_0,esk45_0),esk44_0),
    inference(spm,[status(thm)],[c_0_180,c_0_203]) ).

cnf(c_0_209,plain,
    apply(esk42_0,esk33_3(esk42_0,esk43_0,esk45_0),esk35_3(esk42_0,esk43_0,esk45_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_199]),c_0_197])]),c_0_166]) ).

cnf(c_0_210,plain,
    member(esk35_3(esk42_0,esk43_0,esk45_0),esk45_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_199]),c_0_197])]),c_0_166]) ).

cnf(c_0_211,negated_conjecture,
    ( X1 = esk34_3(esk42_0,esk43_0,esk45_0)
    | ~ apply(esk41_0,esk33_3(esk42_0,esk43_0,esk45_0),X1)
    | ~ member(X1,esk44_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_207]),c_0_204]),c_0_208])]) ).

cnf(c_0_212,negated_conjecture,
    apply(esk41_0,esk33_3(esk42_0,esk43_0,esk45_0),esk35_3(esk42_0,esk43_0,esk45_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_209]),c_0_210]),c_0_204])]) ).

cnf(c_0_213,negated_conjecture,
    member(esk35_3(esk42_0,esk43_0,esk45_0),esk44_0),
    inference(spm,[status(thm)],[c_0_180,c_0_210]) ).

cnf(c_0_214,plain,
    ( maps(X1,X2,X3)
    | esk35_3(X1,X2,X3) != esk34_3(X1,X2,X3)
    | ~ member(X4,X3)
    | ~ apply(X1,esk32_3(X1,X2,X3),X4) ),
    i_0_94 ).

cnf(c_0_215,negated_conjecture,
    esk35_3(esk42_0,esk43_0,esk45_0) = esk34_3(esk42_0,esk43_0,esk45_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_213])]) ).

cnf(c_0_216,plain,
    ( ~ apply(esk42_0,esk32_3(esk42_0,esk43_0,esk45_0),X1)
    | ~ member(X1,esk45_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_166]) ).

cnf(c_0_217,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_199]),c_0_197])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : SET730+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.06/0.10  % Command  : enigmatic-eprover.py %s %d 1
% 0.10/0.31  % Computer : n013.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.31  % CPULimit : 300
% 0.16/0.31  % WCLimit  : 600
% 0.16/0.31  % DateTime : Sun Jul 10 23:09:02 EDT 2022
% 0.16/0.31  % CPUTime  : 
% 0.16/0.41  # ENIGMATIC: Selected SinE mode:
% 0.16/0.42  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.16/0.42  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.16/0.42  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 31.64/5.72  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 31.64/5.72  # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 52; version: 991; iters: 150)
% 31.64/5.72  # Preprocessing time       : 1.319 s
% 31.64/5.72  # Presaturation interreduction done
% 31.64/5.72  
% 31.64/5.72  # Proof found!
% 31.64/5.72  # SZS status Theorem
% 31.64/5.72  # SZS output start CNFRefutation
% See solution above
% 31.64/5.73  # Training examples: 0 positive, 0 negative
% 31.64/5.73  
% 31.64/5.73  # -------------------------------------------------
% 31.64/5.73  # User time                : 2.202 s
% 31.64/5.73  # System time              : 0.126 s
% 31.64/5.73  # Total time               : 2.328 s
% 31.64/5.73  # ...preprocessing         : 1.319 s
% 31.64/5.73  # ...main loop             : 1.009 s
% 31.64/5.73  # Maximum resident set size: 166856 pages
% 31.64/5.73  
%------------------------------------------------------------------------------