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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG016+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.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 : Thu Jul 14 14:42:02 EDT 2022

% Result   : Theorem 5.03s 2.66s
% Output   : CNFRefutation 5.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   49
% Syntax   : Number of clauses     :  153 ( 141 unt;   7 nHn; 153 RR)
%            Number of literals    :  222 ( 215 equ;  80 neg)
%            Maximal clause size   :   20 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   2 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_385,plain,
    op2(e22,op2(e22,e22)) = e21,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_385) ).

cnf(i_0_384,plain,
    op2(e22,e22) = e23,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_384) ).

cnf(i_0_382,plain,
    op1(e12,op1(e12,e12)) = e11,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_382) ).

cnf(i_0_381,plain,
    op1(e12,e12) = e13,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_381) ).

cnf(i_0_139,plain,
    op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_139) ).

cnf(i_0_383,plain,
    op1(op1(e12,op1(e12,e12)),e12) = e10,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_383) ).

cnf(i_0_38,plain,
    op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_38) ).

cnf(i_0_138,plain,
    op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_138) ).

cnf(i_0_140,plain,
    op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_140) ).

cnf(i_0_135,plain,
    op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_135) ).

cnf(i_0_37,plain,
    op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_37) ).

cnf(i_0_34,plain,
    op1(op1(e12,e13),e12) = op1(e12,op1(e13,e12)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_34) ).

cnf(i_0_118,plain,
    op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_118) ).

cnf(i_0_134,plain,
    op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_134) ).

cnf(i_0_386,plain,
    op2(op2(e22,op2(e22,e22)),e22) = e20,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_386) ).

cnf(i_0_33,plain,
    op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_33) ).

cnf(i_0_142,plain,
    op2(op2(e22,e21),e23) = op2(e22,op2(e21,e23)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_142) ).

cnf(i_0_331,plain,
    op2(e22,e22) != op2(e20,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_331) ).

cnf(i_0_143,plain,
    op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_143) ).

cnf(i_0_308,plain,
    op2(e22,e21) != op2(e22,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_308) ).

cnf(i_0_306,plain,
    op2(e22,e23) != op2(e22,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_306) ).

cnf(i_0_259,plain,
    op1(e12,e10) != op1(e12,e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_259) ).

cnf(i_0_54,plain,
    op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_54) ).

cnf(i_0_154,plain,
    op2(op2(e21,e22),e23) = op2(e21,op2(e22,e23)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_154) ).

cnf(i_0_334,plain,
    op2(e23,e21) != op2(e21,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_334) ).

cnf(i_0_115,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e22) = e21
    | op2(e20,e22) = e22
    | op2(e20,e22) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_115) ).

cnf(i_0_8,plain,
    ( op1(e12,e10) = e10
    | op1(e12,e10) = e11
    | op1(e12,e10) = e12
    | op1(e12,e10) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_8) ).

cnf(i_0_275,plain,
    op1(e11,e13) != op1(e12,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_275) ).

cnf(i_0_284,plain,
    op1(e11,e12) != op1(e10,e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_284) ).

cnf(i_0_325,plain,
    op2(e22,e23) != op2(e20,e23),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_325) ).

cnf(i_0_335,plain,
    op2(e22,e21) != op2(e21,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_335) ).

cnf(i_0_396,plain,
    op2(e22,op2(e22,e22)) = h3(e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_396) ).

cnf(i_0_397,plain,
    op2(op2(e22,op2(e22,e22)),e22) = h3(e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_397) ).

cnf(i_0_21,plain,
    op1(op1(e13,e12),e13) = op1(e13,op1(e12,e13)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_21) ).

cnf(i_0_23,plain,
    op1(op1(e13,e12),e11) = op1(e13,op1(e12,e11)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_23) ).

cnf(i_0_55,plain,
    op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_55) ).

cnf(i_0_53,plain,
    op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_53) ).

cnf(i_0_50,plain,
    op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_50) ).

cnf(i_0_24,plain,
    op1(op1(e13,e12),e10) = op1(e13,op1(e12,e10)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_24) ).

cnf(i_0_125,plain,
    op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_125) ).

cnf(i_0_114,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_114) ).

cnf(i_0_71,plain,
    op1(op1(e10,e12),e11) = op1(e10,op1(e12,e11)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_71) ).

cnf(i_0_166,plain,
    op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_166) ).

cnf(i_0_604,plain,
    ( epred3_0
    | h3(e10) != e20
    | h3(e11) != e21
    | h3(e12) != e22
    | op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
    | op2(h3(e10),h3(e11)) != h3(op1(e10,e11))
    | op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
    | op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
    | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))
    | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))
    | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))
    | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))
    | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
    | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))
    | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
    | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
    | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
    | op2(h3(e13),h3(e11)) != h3(op1(e13,e11))
    | op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
    | op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_604) ).

cnf(i_0_398,plain,
    h3(e12) = e22,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_398) ).

cnf(i_0_395,plain,
    op2(e22,e22) = h3(e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_395) ).

cnf(i_0_407,negated_conjecture,
    ( h3(e13) != e23
    | ~ epred3_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_407) ).

cnf(i_0_144,plain,
    op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_144) ).

cnf(i_0_158,plain,
    op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1teh8r7/lgb.p',i_0_158) ).

cnf(c_0_654,plain,
    op2(e22,op2(e22,e22)) = e21,
    i_0_385 ).

cnf(c_0_655,plain,
    op2(e22,e22) = e23,
    i_0_384 ).

cnf(c_0_656,plain,
    op1(e12,op1(e12,e12)) = e11,
    i_0_382 ).

cnf(c_0_657,plain,
    op1(e12,e12) = e13,
    i_0_381 ).

cnf(c_0_658,plain,
    op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
    i_0_139 ).

cnf(c_0_659,plain,
    op2(e22,e23) = e21,
    inference(rw,[status(thm)],[c_0_654,c_0_655]) ).

cnf(c_0_660,plain,
    op1(op1(e12,op1(e12,e12)),e12) = e10,
    i_0_383 ).

cnf(c_0_661,plain,
    op1(e12,e13) = e11,
    inference(rw,[status(thm)],[c_0_656,c_0_657]) ).

cnf(c_0_662,plain,
    op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
    i_0_38 ).

cnf(c_0_663,plain,
    op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
    i_0_138 ).

cnf(c_0_664,plain,
    op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21)),
    i_0_140 ).

cnf(c_0_665,plain,
    op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22)),
    i_0_135 ).

cnf(c_0_666,plain,
    op2(e23,e22) = e21,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_658,c_0_655]),c_0_655]),c_0_659]) ).

cnf(c_0_667,plain,
    op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
    i_0_37 ).

cnf(c_0_668,plain,
    op1(op1(e12,e13),e12) = op1(e12,op1(e13,e12)),
    i_0_34 ).

cnf(c_0_669,plain,
    op1(e11,e12) = e10,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_660,c_0_657]),c_0_661]) ).

cnf(c_0_670,plain,
    op1(e13,e12) = e11,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_662,c_0_657]),c_0_657]),c_0_661]) ).

cnf(c_0_671,plain,
    op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
    i_0_118 ).

cnf(c_0_672,plain,
    op2(e23,e23) = op2(e22,e21),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_663,c_0_655]),c_0_659]) ).

cnf(c_0_673,plain,
    op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
    i_0_134 ).

cnf(c_0_674,plain,
    op2(e22,op2(e22,e21)) = op2(e23,e21),
    inference(rw,[status(thm)],[c_0_664,c_0_655]) ).

cnf(c_0_675,plain,
    op2(op2(e22,op2(e22,e22)),e22) = e20,
    i_0_386 ).

cnf(c_0_676,plain,
    op2(e21,e22) = op2(e22,e21),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_665,c_0_659]),c_0_666]) ).

cnf(c_0_677,plain,
    op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
    i_0_33 ).

cnf(c_0_678,plain,
    op1(e13,e13) = op1(e12,e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_667,c_0_657]),c_0_661]) ).

cnf(c_0_679,plain,
    op1(e12,e11) = e10,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_668,c_0_661]),c_0_669]),c_0_670]) ).

cnf(c_0_680,plain,
    op2(op2(e22,e21),e23) = op2(e22,op2(e21,e23)),
    i_0_142 ).

cnf(c_0_681,plain,
    op2(op2(e22,e21),e23) = op2(e23,op2(e22,e21)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_671,c_0_672]),c_0_672]) ).

cnf(c_0_682,plain,
    op2(e23,e21) = op2(e21,e23),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_673,c_0_659]),c_0_672]),c_0_674]) ).

cnf(c_0_683,plain,
    op2(e22,e21) = e20,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_675,c_0_655]),c_0_659]),c_0_676]) ).

cnf(c_0_684,plain,
    op2(e22,e22) != op2(e20,e22),
    i_0_331 ).

cnf(c_0_685,plain,
    op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22)),
    i_0_143 ).

cnf(c_0_686,plain,
    op2(e22,e21) != op2(e22,e20),
    i_0_308 ).

cnf(c_0_687,plain,
    op2(e22,e23) != op2(e22,e20),
    i_0_306 ).

cnf(c_0_688,plain,
    op1(e12,e10) != op1(e12,e12),
    i_0_259 ).

cnf(c_0_689,plain,
    op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12)),
    i_0_54 ).

cnf(c_0_690,plain,
    op1(e11,e13) = op1(e12,e10),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_677,c_0_661]),c_0_678]),c_0_679]) ).

cnf(c_0_691,plain,
    op2(op2(e21,e22),e23) = op2(e21,op2(e22,e23)),
    i_0_154 ).

cnf(c_0_692,plain,
    op2(e23,op2(e22,e21)) = op2(e22,op2(e21,e23)),
    inference(rw,[status(thm)],[c_0_680,c_0_681]) ).

cnf(c_0_693,plain,
    op2(e23,e21) != op2(e21,e21),
    i_0_334 ).

cnf(c_0_694,plain,
    op2(e21,e23) = op2(e22,e20),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_674,c_0_682]),c_0_683]) ).

cnf(c_0_695,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e22) = e21
    | op2(e20,e22) = e22
    | op2(e20,e22) = e23 ),
    i_0_115 ).

cnf(c_0_696,plain,
    op2(e20,e22) != e23,
    inference(rw,[status(thm)],[c_0_684,c_0_655]) ).

cnf(c_0_697,plain,
    op2(e20,e22) = op2(e21,e23),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_685,c_0_676]),c_0_674]),c_0_683]),c_0_682]) ).

cnf(c_0_698,plain,
    op2(e22,e20) != e20,
    inference(rw,[status(thm)],[c_0_686,c_0_683]) ).

cnf(c_0_699,plain,
    op2(e22,e20) != e21,
    inference(rw,[status(thm)],[c_0_687,c_0_659]) ).

cnf(c_0_700,plain,
    ( op1(e12,e10) = e10
    | op1(e12,e10) = e11
    | op1(e12,e10) = e12
    | op1(e12,e10) = e13 ),
    i_0_8 ).

cnf(c_0_701,plain,
    op1(e12,e10) != e13,
    inference(rw,[status(thm)],[c_0_688,c_0_657]) ).

cnf(c_0_702,plain,
    op1(e11,e13) != op1(e12,e13),
    i_0_275 ).

cnf(c_0_703,plain,
    op1(e11,e12) != op1(e10,e12),
    i_0_284 ).

cnf(c_0_704,plain,
    op1(e10,e12) = op1(e12,e10),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_689,c_0_669]),c_0_657]),c_0_690]) ).

cnf(c_0_705,plain,
    op2(e22,e23) != op2(e20,e23),
    i_0_325 ).

cnf(c_0_706,plain,
    op2(e22,op2(e21,e23)) = op2(e21,e21),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_691,c_0_676]),c_0_681]),c_0_692]),c_0_659]) ).

cnf(c_0_707,plain,
    op2(e22,e21) != op2(e21,e21),
    i_0_335 ).

cnf(c_0_708,plain,
    op2(e21,e21) != op2(e22,e20),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_693,c_0_682]),c_0_694]) ).

cnf(c_0_709,plain,
    op2(e22,e20) = e22,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_695,c_0_696]),c_0_697]),c_0_694]),c_0_697]),c_0_694]),c_0_697]),c_0_694]),c_0_698]),c_0_699]) ).

cnf(c_0_710,plain,
    op2(e22,op2(e22,e22)) = h3(e11),
    i_0_396 ).

cnf(c_0_711,plain,
    op2(op2(e22,op2(e22,e22)),e22) = h3(e10),
    i_0_397 ).

cnf(c_0_712,plain,
    op1(op1(e13,e12),e13) = op1(e13,op1(e12,e13)),
    i_0_21 ).

cnf(c_0_713,plain,
    op1(op1(e13,e12),e11) = op1(e13,op1(e12,e11)),
    i_0_23 ).

cnf(c_0_714,plain,
    op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11)),
    i_0_55 ).

cnf(c_0_715,plain,
    op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13)),
    i_0_53 ).

cnf(c_0_716,plain,
    op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12)),
    i_0_50 ).

cnf(c_0_717,plain,
    ( op1(e12,e10) = e10
    | op1(e12,e10) = e11
    | op1(e12,e10) = e12 ),
    inference(sr,[status(thm)],[c_0_700,c_0_701]) ).

cnf(c_0_718,plain,
    op1(e12,e10) != e11,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_702,c_0_661]),c_0_690]) ).

cnf(c_0_719,plain,
    op1(e12,e10) != e10,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_703,c_0_669]),c_0_704]) ).

cnf(c_0_720,plain,
    op1(op1(e13,e12),e10) = op1(e13,op1(e12,e10)),
    i_0_24 ).

cnf(c_0_721,plain,
    op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20)),
    i_0_125 ).

cnf(c_0_722,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    i_0_114 ).

cnf(c_0_723,plain,
    op2(e20,e23) != e21,
    inference(rw,[status(thm)],[c_0_705,c_0_659]) ).

cnf(c_0_724,plain,
    op2(e20,e23) = op2(e21,e21),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_681,c_0_692]),c_0_683]),c_0_706]) ).

cnf(c_0_725,plain,
    op2(e21,e21) != e20,
    inference(rw,[status(thm)],[c_0_707,c_0_683]) ).

cnf(c_0_726,plain,
    op2(e21,e21) != e22,
    inference(rw,[status(thm)],[c_0_708,c_0_709]) ).

cnf(c_0_727,plain,
    op1(op1(e10,e12),e11) = op1(e10,op1(e12,e11)),
    i_0_71 ).

cnf(c_0_728,plain,
    op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
    i_0_166 ).

cnf(c_0_729,plain,
    ( epred3_0
    | h3(e10) != e20
    | h3(e11) != e21
    | h3(e12) != e22
    | op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
    | op2(h3(e10),h3(e11)) != h3(op1(e10,e11))
    | op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
    | op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
    | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))
    | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))
    | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))
    | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))
    | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
    | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))
    | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
    | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
    | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
    | op2(h3(e13),h3(e11)) != h3(op1(e13,e11))
    | op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
    | op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) ),
    i_0_604 ).

cnf(c_0_730,plain,
    h3(e12) = e22,
    i_0_398 ).

cnf(c_0_731,plain,
    h3(e11) = op2(e22,e23),
    inference(rw,[status(thm)],[c_0_710,c_0_655]) ).

cnf(c_0_732,plain,
    h3(e10) = e20,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_711,c_0_655]),c_0_659]),c_0_676]),c_0_683]) ).

cnf(c_0_733,plain,
    op2(e22,e22) = h3(e13),
    i_0_395 ).

cnf(c_0_734,plain,
    op1(e13,e11) = op1(e12,e10),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_712,c_0_670]),c_0_690]),c_0_661]) ).

cnf(c_0_735,plain,
    op1(e13,e10) = op1(e11,e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_713,c_0_670]),c_0_679]) ).

cnf(c_0_736,plain,
    op1(e10,e11) = op1(e11,e10),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_714,c_0_669]),c_0_679]) ).

cnf(c_0_737,plain,
    op1(e10,e13) = op1(e11,e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_715,c_0_669]),c_0_661]) ).

cnf(c_0_738,negated_conjecture,
    ( h3(e13) != e23
    | ~ epred3_0 ),
    i_0_407 ).

cnf(c_0_739,plain,
    op1(op1(e12,e10),e12) = op1(e11,e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_716,c_0_690]),c_0_670]) ).

cnf(c_0_740,plain,
    op1(e12,e10) = e12,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_717,c_0_718]),c_0_719]) ).

cnf(c_0_741,plain,
    op1(e13,op1(e12,e10)) = op1(e11,e10),
    inference(rw,[status(thm)],[c_0_720,c_0_670]) ).

cnf(c_0_742,plain,
    op2(e23,op2(e22,e20)) = op2(e21,e20),
    inference(rw,[status(thm)],[c_0_721,c_0_666]) ).

cnf(c_0_743,plain,
    op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21)),
    i_0_144 ).

cnf(c_0_744,plain,
    op2(e21,e21) = e23,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_722,c_0_723]),c_0_724]),c_0_724]),c_0_724]),c_0_725]),c_0_726]) ).

cnf(c_0_745,plain,
    op1(op1(e12,e10),e11) = op1(e10,e10),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_727,c_0_704]),c_0_679]) ).

cnf(c_0_746,plain,
    op2(op2(e20,e23),e23) = op2(e20,op2(e22,e21)),
    inference(rw,[status(thm)],[c_0_728,c_0_672]) ).

cnf(c_0_747,plain,
    op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
    i_0_158 ).

cnf(c_0_748,plain,
    ( epred3_0
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e11,e11)) != op2(e21,e21)
    | h3(op1(e12,e10)) != op2(e21,e23)
    | h3(op1(e11,e10)) != op2(e21,e20)
    | h3(op1(e11,e11)) != op2(e23,e20)
    | h3(op1(e12,e10)) != op2(e20,e22)
    | h3(op1(e11,e10)) != op2(e20,e21)
    | h3(op1(e11,e11)) != op2(e20,e23)
    | h3(op1(e10,e10)) != op2(e20,e20) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_729,c_0_730]),c_0_731]),c_0_659]),c_0_732]),c_0_730]),c_0_730]),c_0_655]),c_0_657]),c_0_733]),c_0_655]),c_0_730]),c_0_731]),c_0_659]),c_0_683]),c_0_679]),c_0_732]),c_0_730]),c_0_733]),c_0_655]),c_0_659]),c_0_661]),c_0_731]),c_0_659]),c_0_730]),c_0_732]),c_0_731]),c_0_659]),c_0_730]),c_0_676]),c_0_683]),c_0_669]),c_0_732]),c_0_731]),c_0_659]),c_0_731]),c_0_659]),c_0_731]),c_0_659]),c_0_733]),c_0_655]),c_0_690]),c_0_731]),c_0_659]),c_0_732]),c_0_733]),c_0_655]),c_0_730]),c_0_666]),c_0_670]),c_0_731]),c_0_659]),c_0_733]),c_0_655]),c_0_731]),c_0_659]),c_0_682]),c_0_734]),c_0_733]),c_0_655]),c_0_733]),c_0_655]),c_0_672]),c_0_683]),c_0_678]),c_0_679]),c_0_732]),c_0_733]),c_0_655]),c_0_732]),c_0_735]),c_0_732]),c_0_730]),c_0_704]),c_0_732]),c_0_731]),c_0_659]),c_0_736]),c_0_732]),c_0_733]),c_0_655]),c_0_737]),c_0_732]),c_0_732])]) ).

cnf(c_0_749,negated_conjecture,
    ~ epred3_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_738,c_0_733]),c_0_655])]) ).

cnf(c_0_750,plain,
    op1(e11,e11) = e13,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_739,c_0_740]),c_0_657]) ).

cnf(c_0_751,plain,
    op1(e11,e10) = e11,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_741,c_0_740]),c_0_670]) ).

cnf(c_0_752,plain,
    op2(e21,e20) = e21,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_742,c_0_709]),c_0_666]) ).

cnf(c_0_753,plain,
    op2(e23,e20) = op2(e21,e21),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_692,c_0_706]),c_0_683]) ).

cnf(c_0_754,plain,
    op2(e20,e21) = e21,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_743,c_0_683]),c_0_744]),c_0_659]) ).

cnf(c_0_755,plain,
    op1(e10,e10) = e10,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_745,c_0_740]),c_0_679]) ).

cnf(c_0_756,plain,
    op2(e20,e20) = e20,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_746,c_0_683]),c_0_724]),c_0_747]),c_0_694]),c_0_709]),c_0_676]),c_0_683]) ).

cnf(c_0_757,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_748,c_0_724])]),c_0_749]),c_0_740]),c_0_730]),c_0_709]),c_0_750]),c_0_733]),c_0_655]),c_0_744]),c_0_740]),c_0_730]),c_0_694]),c_0_709]),c_0_751]),c_0_731]),c_0_659]),c_0_752]),c_0_750]),c_0_733]),c_0_655]),c_0_753]),c_0_744]),c_0_740]),c_0_730]),c_0_697]),c_0_694]),c_0_709]),c_0_751]),c_0_731]),c_0_659]),c_0_754]),c_0_755]),c_0_732]),c_0_756])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11  % Problem  : ALG016+1 : TPTP v8.1.0. Released v2.7.0.
% 0.04/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n025.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 : Wed Jun  8 22:34:06 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 5.03/2.66  # ENIGMATIC: Solved by autoschedule-lgb:
% 5.03/2.66  # No SInE strategy applied
% 5.03/2.66  # Trying AutoSched0 for 150 seconds
% 5.03/2.66  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 5.03/2.66  # and selection function SelectNewComplexAHP.
% 5.03/2.66  #
% 5.03/2.66  # Preprocessing time       : 0.037 s
% 5.03/2.66  # Presaturation interreduction done
% 5.03/2.66  
% 5.03/2.66  # Proof found!
% 5.03/2.66  # SZS status Theorem
% 5.03/2.66  # SZS output start CNFRefutation
% See solution above
% 5.03/2.66  # Training examples: 0 positive, 0 negative
% 5.03/2.66  
% 5.03/2.66  # -------------------------------------------------
% 5.03/2.66  # User time                : 0.072 s
% 5.03/2.66  # System time              : 0.008 s
% 5.03/2.66  # Total time               : 0.080 s
% 5.03/2.66  # Maximum resident set size: 7124 pages
% 5.03/2.66  
%------------------------------------------------------------------------------