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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET733+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n026.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 00:13:45 EDT 2022

% Result   : Theorem 19.28s 3.91s
% Output   : CNFRefutation 19.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   76 (  18 unt;  31 nHn;  57 RR)
%            Number of literals    :  197 (  22 equ;  92 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-7 aty)
%            Number of variables   :  163 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_40,plain,
    ( apply(X1,X2,X2)
    | ~ member(X2,X3)
    | ~ identity(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q7_tnjtv/input.p',i_0_40) ).

cnf(i_0_130,negated_conjecture,
    identity(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk43_0),esk43_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q7_tnjtv/input.p',i_0_130) ).

cnf(i_0_61,plain,
    ( injective(X1,X2,X3)
    | member(esk21_3(X1,X2,X3),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q7_tnjtv/input.p',i_0_61) ).

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/sandbox/tmp/enigma-theBenchmark.p-q7_tnjtv/input.p',i_0_106) ).

cnf(i_0_132,negated_conjecture,
    maps(esk41_0,esk43_0,esk44_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q7_tnjtv/input.p',i_0_132) ).

cnf(i_0_3,plain,
    ( apply(X1,X2,esk1_7(X3,X1,X4,X5,X6,X2,X7))
    | ~ member(X7,X6)
    | ~ member(X2,X4)
    | ~ apply(compose_function(X3,X1,X4,X5,X6),X2,X7) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q7_tnjtv/input.p',i_0_3) ).

cnf(i_0_58,plain,
    ( injective(X1,X2,X3)
    | apply(X1,esk21_3(X1,X2,X3),esk22_3(X1,X2,X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q7_tnjtv/input.p',i_0_58) ).

cnf(i_0_4,plain,
    ( member(esk1_7(X1,X2,X3,X4,X5,X6,X7),X4)
    | ~ member(X7,X5)
    | ~ member(X6,X3)
    | ~ apply(compose_function(X1,X2,X3,X4,X5),X6,X7) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q7_tnjtv/input.p',i_0_4) ).

cnf(i_0_2,plain,
    ( apply(X1,esk1_7(X1,X2,X3,X4,X5,X6,X7),X7)
    | ~ member(X7,X5)
    | ~ member(X6,X3)
    | ~ apply(compose_function(X1,X2,X3,X4,X5),X6,X7) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q7_tnjtv/input.p',i_0_2) ).

cnf(i_0_60,plain,
    ( injective(X1,X2,X3)
    | member(esk22_3(X1,X2,X3),X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q7_tnjtv/input.p',i_0_60) ).

cnf(i_0_129,negated_conjecture,
    ~ injective(esk41_0,esk43_0,esk44_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q7_tnjtv/input.p',i_0_129) ).

cnf(i_0_62,plain,
    ( injective(X1,X2,X3)
    | member(esk20_3(X1,X2,X3),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q7_tnjtv/input.p',i_0_62) ).

cnf(i_0_131,negated_conjecture,
    maps(esk42_0,esk44_0,esk43_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q7_tnjtv/input.p',i_0_131) ).

cnf(i_0_107,plain,
    ( apply(X1,X2,esk31_4(X1,X3,X4,X2))
    | ~ member(X2,X3)
    | ~ maps(X1,X3,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q7_tnjtv/input.p',i_0_107) ).

cnf(i_0_108,plain,
    ( member(esk31_4(X1,X2,X3,X4),X3)
    | ~ member(X4,X2)
    | ~ maps(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q7_tnjtv/input.p',i_0_108) ).

cnf(i_0_59,plain,
    ( injective(X1,X2,X3)
    | apply(X1,esk20_3(X1,X2,X3),esk22_3(X1,X2,X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q7_tnjtv/input.p',i_0_59) ).

cnf(i_0_57,plain,
    ( injective(X1,X2,X3)
    | esk21_3(X1,X2,X3) != esk20_3(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q7_tnjtv/input.p',i_0_57) ).

cnf(c_0_150,plain,
    ( apply(X1,X2,X2)
    | ~ member(X2,X3)
    | ~ identity(X1,X3) ),
    i_0_40 ).

cnf(c_0_151,negated_conjecture,
    identity(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk43_0),esk43_0),
    i_0_130 ).

cnf(c_0_152,negated_conjecture,
    ( apply(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk43_0),X1,X1)
    | ~ member(X1,esk43_0) ),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_153,plain,
    ( injective(X1,X2,X3)
    | member(esk21_3(X1,X2,X3),X2) ),
    i_0_61 ).

cnf(c_0_154,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_155,negated_conjecture,
    maps(esk41_0,esk43_0,esk44_0),
    i_0_132 ).

cnf(c_0_156,plain,
    ( apply(X1,X2,esk1_7(X3,X1,X4,X5,X6,X2,X7))
    | ~ member(X7,X6)
    | ~ member(X2,X4)
    | ~ apply(compose_function(X3,X1,X4,X5,X6),X2,X7) ),
    i_0_3 ).

cnf(c_0_157,plain,
    ( apply(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk43_0),esk21_3(X1,esk43_0,X2),esk21_3(X1,esk43_0,X2))
    | injective(X1,esk43_0,X2) ),
    inference(spm,[status(thm)],[c_0_152,c_0_153]) ).

cnf(c_0_158,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_154,c_0_155]) ).

cnf(c_0_159,plain,
    ( injective(X1,X2,X3)
    | apply(X1,esk21_3(X1,X2,X3),esk22_3(X1,X2,X3)) ),
    i_0_58 ).

cnf(c_0_160,plain,
    ( apply(esk41_0,esk21_3(X1,esk43_0,X2),esk1_7(esk42_0,esk41_0,esk43_0,esk44_0,esk43_0,esk21_3(X1,esk43_0,X2),esk21_3(X1,esk43_0,X2)))
    | injective(X1,esk43_0,X2)
    | ~ member(esk21_3(X1,esk43_0,X2),esk43_0) ),
    inference(spm,[status(thm)],[c_0_156,c_0_157]) ).

cnf(c_0_161,plain,
    ( X1 = esk22_3(esk41_0,X2,X3)
    | injective(esk41_0,X2,X3)
    | ~ apply(esk41_0,esk21_3(esk41_0,X2,X3),X1)
    | ~ member(esk21_3(esk41_0,X2,X3),esk43_0)
    | ~ member(esk22_3(esk41_0,X2,X3),esk44_0)
    | ~ member(X1,esk44_0) ),
    inference(spm,[status(thm)],[c_0_158,c_0_159]) ).

cnf(c_0_162,plain,
    ( apply(esk41_0,esk21_3(X1,esk43_0,X2),esk1_7(esk42_0,esk41_0,esk43_0,esk44_0,esk43_0,esk21_3(X1,esk43_0,X2),esk21_3(X1,esk43_0,X2)))
    | injective(X1,esk43_0,X2) ),
    inference(spm,[status(thm)],[c_0_160,c_0_153]) ).

cnf(c_0_163,plain,
    ( esk1_7(esk42_0,esk41_0,esk43_0,esk44_0,esk43_0,esk21_3(esk41_0,esk43_0,X1),esk21_3(esk41_0,esk43_0,X1)) = esk22_3(esk41_0,esk43_0,X1)
    | injective(esk41_0,esk43_0,X1)
    | ~ member(esk1_7(esk42_0,esk41_0,esk43_0,esk44_0,esk43_0,esk21_3(esk41_0,esk43_0,X1),esk21_3(esk41_0,esk43_0,X1)),esk44_0)
    | ~ member(esk21_3(esk41_0,esk43_0,X1),esk43_0)
    | ~ member(esk22_3(esk41_0,esk43_0,X1),esk44_0) ),
    inference(spm,[status(thm)],[c_0_161,c_0_162]) ).

cnf(c_0_164,plain,
    ( member(esk1_7(X1,X2,X3,X4,X5,X6,X7),X4)
    | ~ member(X7,X5)
    | ~ member(X6,X3)
    | ~ apply(compose_function(X1,X2,X3,X4,X5),X6,X7) ),
    i_0_4 ).

cnf(c_0_165,plain,
    ( apply(X1,esk1_7(X1,X2,X3,X4,X5,X6,X7),X7)
    | ~ member(X7,X5)
    | ~ member(X6,X3)
    | ~ apply(compose_function(X1,X2,X3,X4,X5),X6,X7) ),
    i_0_2 ).

cnf(c_0_166,plain,
    ( esk1_7(esk42_0,esk41_0,esk43_0,esk44_0,esk43_0,esk21_3(esk41_0,esk43_0,X1),esk21_3(esk41_0,esk43_0,X1)) = esk22_3(esk41_0,esk43_0,X1)
    | injective(esk41_0,esk43_0,X1)
    | ~ member(esk1_7(esk42_0,esk41_0,esk43_0,esk44_0,esk43_0,esk21_3(esk41_0,esk43_0,X1),esk21_3(esk41_0,esk43_0,X1)),esk44_0)
    | ~ member(esk22_3(esk41_0,esk43_0,X1),esk44_0) ),
    inference(spm,[status(thm)],[c_0_163,c_0_153]) ).

cnf(c_0_167,plain,
    ( injective(X1,X2,X3)
    | member(esk22_3(X1,X2,X3),X3) ),
    i_0_60 ).

cnf(c_0_168,negated_conjecture,
    ~ injective(esk41_0,esk43_0,esk44_0),
    i_0_129 ).

cnf(c_0_169,plain,
    ( injective(X1,esk43_0,X2)
    | member(esk1_7(esk42_0,esk41_0,esk43_0,esk44_0,esk43_0,esk21_3(X1,esk43_0,X2),esk21_3(X1,esk43_0,X2)),esk44_0)
    | ~ member(esk21_3(X1,esk43_0,X2),esk43_0) ),
    inference(spm,[status(thm)],[c_0_164,c_0_157]) ).

cnf(c_0_170,plain,
    ( injective(X1,X2,X3)
    | member(esk20_3(X1,X2,X3),X2) ),
    i_0_62 ).

cnf(c_0_171,plain,
    ( apply(esk42_0,esk1_7(esk42_0,esk41_0,esk43_0,esk44_0,esk43_0,esk21_3(X1,esk43_0,X2),esk21_3(X1,esk43_0,X2)),esk21_3(X1,esk43_0,X2))
    | injective(X1,esk43_0,X2)
    | ~ member(esk21_3(X1,esk43_0,X2),esk43_0) ),
    inference(spm,[status(thm)],[c_0_165,c_0_157]) ).

cnf(c_0_172,plain,
    ( esk1_7(esk42_0,esk41_0,esk43_0,esk44_0,esk43_0,esk21_3(esk41_0,esk43_0,esk44_0),esk21_3(esk41_0,esk43_0,esk44_0)) = esk22_3(esk41_0,esk43_0,esk44_0)
    | ~ member(esk1_7(esk42_0,esk41_0,esk43_0,esk44_0,esk43_0,esk21_3(esk41_0,esk43_0,esk44_0),esk21_3(esk41_0,esk43_0,esk44_0)),esk44_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_168]) ).

cnf(c_0_173,plain,
    ( injective(X1,esk43_0,X2)
    | member(esk1_7(esk42_0,esk41_0,esk43_0,esk44_0,esk43_0,esk21_3(X1,esk43_0,X2),esk21_3(X1,esk43_0,X2)),esk44_0) ),
    inference(spm,[status(thm)],[c_0_169,c_0_153]) ).

cnf(c_0_174,plain,
    ( apply(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk43_0),esk20_3(X1,esk43_0,X2),esk20_3(X1,esk43_0,X2))
    | injective(X1,esk43_0,X2) ),
    inference(spm,[status(thm)],[c_0_152,c_0_170]) ).

cnf(c_0_175,negated_conjecture,
    maps(esk42_0,esk44_0,esk43_0),
    i_0_131 ).

cnf(c_0_176,plain,
    ( apply(esk42_0,esk1_7(esk42_0,esk41_0,esk43_0,esk44_0,esk43_0,esk21_3(X1,esk43_0,X2),esk21_3(X1,esk43_0,X2)),esk21_3(X1,esk43_0,X2))
    | injective(X1,esk43_0,X2) ),
    inference(spm,[status(thm)],[c_0_171,c_0_153]) ).

cnf(c_0_177,plain,
    esk1_7(esk42_0,esk41_0,esk43_0,esk44_0,esk43_0,esk21_3(esk41_0,esk43_0,esk44_0),esk21_3(esk41_0,esk43_0,esk44_0)) = esk22_3(esk41_0,esk43_0,esk44_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_168]) ).

cnf(c_0_178,plain,
    ( apply(X1,X2,esk31_4(X1,X3,X4,X2))
    | ~ member(X2,X3)
    | ~ maps(X1,X3,X4) ),
    i_0_107 ).

cnf(c_0_179,plain,
    ( member(esk31_4(X1,X2,X3,X4),X3)
    | ~ member(X4,X2)
    | ~ maps(X1,X2,X3) ),
    i_0_108 ).

cnf(c_0_180,plain,
    ( injective(X1,X2,X3)
    | apply(X1,esk20_3(X1,X2,X3),esk22_3(X1,X2,X3)) ),
    i_0_59 ).

cnf(c_0_181,plain,
    ( apply(esk41_0,esk20_3(X1,esk43_0,X2),esk1_7(esk42_0,esk41_0,esk43_0,esk44_0,esk43_0,esk20_3(X1,esk43_0,X2),esk20_3(X1,esk43_0,X2)))
    | injective(X1,esk43_0,X2)
    | ~ member(esk20_3(X1,esk43_0,X2),esk43_0) ),
    inference(spm,[status(thm)],[c_0_156,c_0_174]) ).

cnf(c_0_182,negated_conjecture,
    ( X1 = X2
    | ~ apply(esk42_0,X3,X2)
    | ~ apply(esk42_0,X3,X1)
    | ~ member(X3,esk44_0)
    | ~ member(X2,esk43_0)
    | ~ member(X1,esk43_0) ),
    inference(spm,[status(thm)],[c_0_154,c_0_175]) ).

cnf(c_0_183,plain,
    apply(esk42_0,esk22_3(esk41_0,esk43_0,esk44_0),esk21_3(esk41_0,esk43_0,esk44_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_168]) ).

cnf(c_0_184,plain,
    member(esk22_3(esk41_0,esk43_0,esk44_0),esk44_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_177]),c_0_168]) ).

cnf(c_0_185,negated_conjecture,
    ( apply(esk42_0,X1,esk31_4(esk42_0,esk44_0,esk43_0,X1))
    | ~ member(X1,esk44_0) ),
    inference(spm,[status(thm)],[c_0_178,c_0_175]) ).

cnf(c_0_186,negated_conjecture,
    ( member(esk31_4(esk42_0,esk44_0,esk43_0,X1),esk43_0)
    | ~ member(X1,esk44_0) ),
    inference(spm,[status(thm)],[c_0_179,c_0_175]) ).

cnf(c_0_187,plain,
    ( X1 = esk22_3(esk41_0,X2,X3)
    | injective(esk41_0,X2,X3)
    | ~ apply(esk41_0,esk20_3(esk41_0,X2,X3),X1)
    | ~ member(esk20_3(esk41_0,X2,X3),esk43_0)
    | ~ member(esk22_3(esk41_0,X2,X3),esk44_0)
    | ~ member(X1,esk44_0) ),
    inference(spm,[status(thm)],[c_0_158,c_0_180]) ).

cnf(c_0_188,plain,
    ( apply(esk41_0,esk20_3(X1,esk43_0,X2),esk1_7(esk42_0,esk41_0,esk43_0,esk44_0,esk43_0,esk20_3(X1,esk43_0,X2),esk20_3(X1,esk43_0,X2)))
    | injective(X1,esk43_0,X2) ),
    inference(spm,[status(thm)],[c_0_181,c_0_170]) ).

cnf(c_0_189,negated_conjecture,
    ( X1 = esk21_3(esk41_0,esk43_0,esk44_0)
    | ~ apply(esk42_0,esk22_3(esk41_0,esk43_0,esk44_0),X1)
    | ~ member(esk21_3(esk41_0,esk43_0,esk44_0),esk43_0)
    | ~ member(X1,esk43_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_184])]) ).

cnf(c_0_190,plain,
    ( apply(esk42_0,esk22_3(X1,X2,esk44_0),esk31_4(esk42_0,esk44_0,esk43_0,esk22_3(X1,X2,esk44_0)))
    | injective(X1,X2,esk44_0) ),
    inference(spm,[status(thm)],[c_0_185,c_0_167]) ).

cnf(c_0_191,negated_conjecture,
    member(esk31_4(esk42_0,esk44_0,esk43_0,esk22_3(esk41_0,esk43_0,esk44_0)),esk43_0),
    inference(spm,[status(thm)],[c_0_186,c_0_184]) ).

cnf(c_0_192,plain,
    ( esk1_7(esk42_0,esk41_0,esk43_0,esk44_0,esk43_0,esk20_3(esk41_0,esk43_0,X1),esk20_3(esk41_0,esk43_0,X1)) = esk22_3(esk41_0,esk43_0,X1)
    | injective(esk41_0,esk43_0,X1)
    | ~ member(esk1_7(esk42_0,esk41_0,esk43_0,esk44_0,esk43_0,esk20_3(esk41_0,esk43_0,X1),esk20_3(esk41_0,esk43_0,X1)),esk44_0)
    | ~ member(esk20_3(esk41_0,esk43_0,X1),esk43_0)
    | ~ member(esk22_3(esk41_0,esk43_0,X1),esk44_0) ),
    inference(spm,[status(thm)],[c_0_187,c_0_188]) ).

cnf(c_0_193,plain,
    ( esk31_4(esk42_0,esk44_0,esk43_0,esk22_3(esk41_0,esk43_0,esk44_0)) = esk21_3(esk41_0,esk43_0,esk44_0)
    | ~ member(esk21_3(esk41_0,esk43_0,esk44_0),esk43_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_191])]),c_0_168]) ).

cnf(c_0_194,plain,
    ( esk1_7(esk42_0,esk41_0,esk43_0,esk44_0,esk43_0,esk20_3(esk41_0,esk43_0,X1),esk20_3(esk41_0,esk43_0,X1)) = esk22_3(esk41_0,esk43_0,X1)
    | injective(esk41_0,esk43_0,X1)
    | ~ member(esk1_7(esk42_0,esk41_0,esk43_0,esk44_0,esk43_0,esk20_3(esk41_0,esk43_0,X1),esk20_3(esk41_0,esk43_0,X1)),esk44_0)
    | ~ member(esk22_3(esk41_0,esk43_0,X1),esk44_0) ),
    inference(spm,[status(thm)],[c_0_192,c_0_170]) ).

cnf(c_0_195,plain,
    ( injective(X1,esk43_0,X2)
    | member(esk1_7(esk42_0,esk41_0,esk43_0,esk44_0,esk43_0,esk20_3(X1,esk43_0,X2),esk20_3(X1,esk43_0,X2)),esk44_0)
    | ~ member(esk20_3(X1,esk43_0,X2),esk43_0) ),
    inference(spm,[status(thm)],[c_0_164,c_0_174]) ).

cnf(c_0_196,plain,
    esk31_4(esk42_0,esk44_0,esk43_0,esk22_3(esk41_0,esk43_0,esk44_0)) = esk21_3(esk41_0,esk43_0,esk44_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_153]),c_0_168]) ).

cnf(c_0_197,plain,
    ( apply(esk42_0,esk1_7(esk42_0,esk41_0,esk43_0,esk44_0,esk43_0,esk20_3(X1,esk43_0,X2),esk20_3(X1,esk43_0,X2)),esk20_3(X1,esk43_0,X2))
    | injective(X1,esk43_0,X2)
    | ~ member(esk20_3(X1,esk43_0,X2),esk43_0) ),
    inference(spm,[status(thm)],[c_0_165,c_0_174]) ).

cnf(c_0_198,plain,
    ( esk1_7(esk42_0,esk41_0,esk43_0,esk44_0,esk43_0,esk20_3(esk41_0,esk43_0,esk44_0),esk20_3(esk41_0,esk43_0,esk44_0)) = esk22_3(esk41_0,esk43_0,esk44_0)
    | ~ member(esk1_7(esk42_0,esk41_0,esk43_0,esk44_0,esk43_0,esk20_3(esk41_0,esk43_0,esk44_0),esk20_3(esk41_0,esk43_0,esk44_0)),esk44_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_167]),c_0_168]) ).

cnf(c_0_199,plain,
    ( injective(X1,esk43_0,X2)
    | member(esk1_7(esk42_0,esk41_0,esk43_0,esk44_0,esk43_0,esk20_3(X1,esk43_0,X2),esk20_3(X1,esk43_0,X2)),esk44_0) ),
    inference(spm,[status(thm)],[c_0_195,c_0_170]) ).

cnf(c_0_200,negated_conjecture,
    member(esk21_3(esk41_0,esk43_0,esk44_0),esk43_0),
    inference(rw,[status(thm)],[c_0_191,c_0_196]) ).

cnf(c_0_201,plain,
    ( apply(esk42_0,esk1_7(esk42_0,esk41_0,esk43_0,esk44_0,esk43_0,esk20_3(X1,esk43_0,X2),esk20_3(X1,esk43_0,X2)),esk20_3(X1,esk43_0,X2))
    | injective(X1,esk43_0,X2) ),
    inference(spm,[status(thm)],[c_0_197,c_0_170]) ).

cnf(c_0_202,plain,
    esk1_7(esk42_0,esk41_0,esk43_0,esk44_0,esk43_0,esk20_3(esk41_0,esk43_0,esk44_0),esk20_3(esk41_0,esk43_0,esk44_0)) = esk22_3(esk41_0,esk43_0,esk44_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_168]) ).

cnf(c_0_203,negated_conjecture,
    ( X1 = esk21_3(esk41_0,esk43_0,esk44_0)
    | ~ apply(esk42_0,esk22_3(esk41_0,esk43_0,esk44_0),X1)
    | ~ member(X1,esk43_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_189,c_0_200])]) ).

cnf(c_0_204,plain,
    apply(esk42_0,esk22_3(esk41_0,esk43_0,esk44_0),esk20_3(esk41_0,esk43_0,esk44_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_168]) ).

cnf(c_0_205,negated_conjecture,
    ( esk21_3(esk41_0,esk43_0,esk44_0) = esk20_3(esk41_0,esk43_0,esk44_0)
    | ~ member(esk20_3(esk41_0,esk43_0,esk44_0),esk43_0) ),
    inference(spm,[status(thm)],[c_0_203,c_0_204]) ).

cnf(c_0_206,plain,
    ( injective(X1,X2,X3)
    | esk21_3(X1,X2,X3) != esk20_3(X1,X2,X3) ),
    i_0_57 ).

cnf(c_0_207,plain,
    esk21_3(esk41_0,esk43_0,esk44_0) = esk20_3(esk41_0,esk43_0,esk44_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_170]),c_0_168]) ).

cnf(c_0_208,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_168]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : SET733+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.09/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jul 10 09:36:58 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.44  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.44  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.44  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 19.28/3.91  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 19.28/3.91  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 33; version: 991; iters: 150)
% 19.28/3.91  # Preprocessing time       : 0.852 s
% 19.28/3.91  # Presaturation interreduction done
% 19.28/3.91  
% 19.28/3.91  # Proof found!
% 19.28/3.91  # SZS status Theorem
% 19.28/3.91  # SZS output start CNFRefutation
% See solution above
% 19.28/3.91  # Training examples: 0 positive, 0 negative
% 19.28/3.91  
% 19.28/3.91  # -------------------------------------------------
% 19.28/3.91  # User time                : 1.352 s
% 19.28/3.91  # System time              : 0.114 s
% 19.28/3.91  # Total time               : 1.467 s
% 19.28/3.91  # ...preprocessing         : 0.852 s
% 19.28/3.91  # ...main loop             : 0.615 s
% 19.28/3.91  # Maximum resident set size: 167012 pages
% 19.28/3.91  
%------------------------------------------------------------------------------