TSTP Solution File: ALG015+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG015+1 : TPTP v8.1.0. Released v2.7.0.
% 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 : Thu Jul 14 14:42:01 EDT 2022

% Result   : Theorem 9.27s 2.95s
% Output   : CNFRefutation 9.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   77
% Syntax   : Number of clauses     :  241 ( 198 unt;  38 nHn; 241 RR)
%            Number of literals    :  381 ( 357 equ; 139 neg)
%            Maximal clause size   :   20 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   4 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_373,plain,
    ( op1(e13,e13) = e13
    | epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_373) ).

cnf(i_0_382,plain,
    op1(e13,e13) = e10,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_382) ).

cnf(i_0_348,plain,
    e10 != e13,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_348) ).

cnf(i_0_255,plain,
    op1(e12,e13) != op1(e12,e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_255) ).

cnf(i_0_381,plain,
    op1(e12,e13) = e11,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_381) ).

cnf(i_0_537,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e11) = e11
    | op1(e13,e13) = e12
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_537) ).

cnf(i_0_349,plain,
    e10 != e12,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_349) ).

cnf(i_0_517,plain,
    ( op1(e11,e11) = e10
    | op1(e12,e12) = e11
    | op1(e13,e13) = e12
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_517) ).

cnf(i_0_350,plain,
    e11 != e10,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_350) ).

cnf(i_0_511,plain,
    ( op1(e10,e10) = e11
    | op1(e11,e11) = e12
    | op1(e12,e12) = e10
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_511) ).

cnf(i_0_258,plain,
    op1(e12,e10) != op1(e12,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_258) ).

cnf(i_0_295,plain,
    op1(e10,e10) != op1(e12,e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_295) ).

cnf(i_0_377,plain,
    ( op2(e23,e23) = e23
    | epred2_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_377) ).

cnf(i_0_384,plain,
    op2(e23,e23) = e20,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_384) ).

cnf(i_0_354,plain,
    e23 != e20,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_354) ).

cnf(i_0_40,plain,
    op1(op1(e12,e12),e10) = op1(e12,op1(e12,e10)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_40) ).

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-uhj3twac/lgb.p',i_0_8) ).

cnf(i_0_561,plain,
    ( op2(e22,e22) = e20
    | op2(e23,e23) = e21
    | op2(e23,e23) = e22
    | ~ epred2_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_561) ).

cnf(i_0_355,plain,
    e22 != e20,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_355) ).

cnf(i_0_356,plain,
    e21 != e20,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_356) ).

cnf(i_0_322,plain,
    op2(e23,e23) != op2(e21,e23),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_322) ).

cnf(i_0_134,plain,
    op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_134) ).

cnf(i_0_383,plain,
    op2(e22,e23) = e21,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_383) ).

cnf(i_0_256,plain,
    op1(e12,e11) != op1(e12,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_256) ).

cnf(i_0_287,plain,
    op1(e11,e11) != op1(e12,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_287) ).

cnf(i_0_141,plain,
    op2(op2(e22,e22),e20) = op2(e22,op2(e22,e20)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_141) ).

cnf(i_0_593,plain,
    ( op2(e20,e20) = e20
    | op2(e23,e23) = e21
    | op2(e23,e23) = e22
    | ~ epred2_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_593) ).

cnf(i_0_306,plain,
    op2(e22,e23) != op2(e22,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_306) ).

cnf(i_0_59,plain,
    op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_59) ).

cnf(i_0_7,plain,
    ( op1(e12,e11) = e10
    | op1(e12,e11) = e11
    | op1(e12,e11) = e12
    | op1(e12,e11) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_7) ).

cnf(i_0_260,plain,
    op1(e12,e11) != op1(e12,e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_260) ).

cnf(i_0_138,plain,
    op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_138) ).

cnf(i_0_110,plain,
    ( op2(e21,e23) = e20
    | op2(e21,e23) = e21
    | op2(e21,e23) = e22
    | op2(e21,e23) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_110) ).

cnf(i_0_266,plain,
    op1(e11,e11) != op1(e11,e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_266) ).

cnf(i_0_289,plain,
    op1(e10,e11) != op1(e12,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_289) ).

cnf(i_0_118,plain,
    op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_118) ).

cnf(i_0_304,plain,
    op2(e22,e23) != op2(e22,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_304) ).

cnf(i_0_305,plain,
    op2(e22,e22) != op2(e22,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_305) ).

cnf(i_0_38,plain,
    op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_38) ).

cnf(i_0_12,plain,
    ( op1(e11,e10) = e10
    | op1(e11,e10) = e11
    | op1(e11,e10) = e12
    | op1(e11,e10) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_12) ).

cnf(i_0_293,plain,
    op1(e11,e10) != op1(e12,e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_293) ).

cnf(i_0_131,plain,
    op2(op2(e23,e20),e22) = op2(e23,op2(e20,e22)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_131) ).

cnf(i_0_139,plain,
    op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_139) ).

cnf(i_0_137,plain,
    op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_137) ).

cnf(i_0_140,plain,
    op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_140) ).

cnf(i_0_577,plain,
    ( op2(e21,e21) = e20
    | op2(e23,e23) = e21
    | op2(e23,e23) = e22
    | ~ epred2_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_577) ).

cnf(i_0_105,plain,
    ( op2(e23,e20) = e20
    | op2(e23,e20) = e21
    | op2(e23,e20) = e22
    | op2(e23,e20) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_105) ).

cnf(i_0_308,plain,
    op2(e22,e21) != op2(e22,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_308) ).

cnf(i_0_263,plain,
    op1(e11,e11) != op1(e11,e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_263) ).

cnf(i_0_284,plain,
    op1(e11,e12) != op1(e10,e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_284) ).

cnf(i_0_143,plain,
    op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_143) ).

cnf(i_0_119,plain,
    op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_119) ).

cnf(i_0_37,plain,
    op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_37) ).

cnf(i_0_120,plain,
    op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_120) ).

cnf(i_0_146,plain,
    op2(op2(e22,e20),e23) = op2(e22,op2(e20,e23)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_146) ).

cnf(i_0_144,plain,
    op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/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-uhj3twac/lgb.p',i_0_158) ).

cnf(i_0_250,plain,
    op1(e13,e11) != op1(e13,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_250) ).

cnf(i_0_288,plain,
    op1(e10,e11) != op1(e13,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_288) ).

cnf(i_0_10,plain,
    ( op1(e11,e12) = e10
    | op1(e11,e12) = e11
    | op1(e11,e12) = e12
    | op1(e11,e12) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_10) ).

cnf(i_0_265,plain,
    op1(e11,e10) != op1(e11,e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_265) ).

cnf(i_0_125,plain,
    op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_125) ).

cnf(i_0_122,plain,
    op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_122) ).

cnf(i_0_123,plain,
    op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_123) ).

cnf(i_0_33,plain,
    op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_33) ).

cnf(i_0_167,plain,
    op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_167) ).

cnf(i_0_135,plain,
    op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_135) ).

cnf(i_0_17,plain,
    op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_17) ).

cnf(i_0_434,negated_conjecture,
    ( h12(e12) != e23
    | ~ epred14_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_434) ).

cnf(i_0_432,plain,
    h12(e12) = e23,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_432) ).

cnf(i_0_3,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_3) ).

cnf(i_0_285,plain,
    op1(e13,e11) != op1(e12,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_285) ).

cnf(i_0_54,plain,
    op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_54) ).

cnf(i_0_1369,plain,
    ( epred14_0
    | h12(e10) != e20
    | h12(e11) != e21
    | h12(e13) != e22
    | h12(op1(e10,e10)) != op2(h12(e10),h12(e10))
    | h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
    | h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
    | h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
    | h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
    | h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
    | h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
    | h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
    | h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
    | h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
    | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_1369) ).

cnf(i_0_429,plain,
    op2(e23,e22) = h12(e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_429) ).

cnf(i_0_430,plain,
    op2(e22,e22) = h12(e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_430) ).

cnf(i_0_431,plain,
    h12(e13) = e22,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uhj3twac/lgb.p',i_0_431) ).

cnf(c_0_1447,plain,
    ( op1(e13,e13) = e13
    | epred1_0 ),
    i_0_373 ).

cnf(c_0_1448,plain,
    op1(e13,e13) = e10,
    i_0_382 ).

cnf(c_0_1449,plain,
    e10 != e13,
    i_0_348 ).

cnf(c_0_1450,plain,
    op1(e12,e13) != op1(e12,e12),
    i_0_255 ).

cnf(c_0_1451,plain,
    op1(e12,e13) = e11,
    i_0_381 ).

cnf(c_0_1452,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e11) = e11
    | op1(e13,e13) = e12
    | ~ epred1_0 ),
    i_0_537 ).

cnf(c_0_1453,plain,
    epred1_0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1447,c_0_1448]),c_0_1449]) ).

cnf(c_0_1454,plain,
    e10 != e12,
    i_0_349 ).

cnf(c_0_1455,plain,
    ( op1(e11,e11) = e10
    | op1(e12,e12) = e11
    | op1(e13,e13) = e12
    | ~ epred1_0 ),
    i_0_517 ).

cnf(c_0_1456,plain,
    op1(e12,e12) != e11,
    inference(rw,[status(thm)],[c_0_1450,c_0_1451]) ).

cnf(c_0_1457,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e11) = e11 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1452,c_0_1448]),c_0_1453])]),c_0_1454]) ).

cnf(c_0_1458,plain,
    op1(e11,e11) = e10,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1455,c_0_1448]),c_0_1453])]),c_0_1456]),c_0_1454]) ).

cnf(c_0_1459,plain,
    e11 != e10,
    i_0_350 ).

cnf(c_0_1460,plain,
    ( op1(e10,e10) = e11
    | op1(e11,e11) = e12
    | op1(e12,e12) = e10
    | ~ epred1_0 ),
    i_0_511 ).

cnf(c_0_1461,plain,
    op1(e10,e10) = e10,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1457,c_0_1458]),c_0_1459]) ).

cnf(c_0_1462,plain,
    op1(e12,e10) != op1(e12,e13),
    i_0_258 ).

cnf(c_0_1463,plain,
    op1(e10,e10) != op1(e12,e10),
    i_0_295 ).

cnf(c_0_1464,plain,
    ( op2(e23,e23) = e23
    | epred2_0 ),
    i_0_377 ).

cnf(c_0_1465,plain,
    op2(e23,e23) = e20,
    i_0_384 ).

cnf(c_0_1466,plain,
    e23 != e20,
    i_0_354 ).

cnf(c_0_1467,plain,
    op1(op1(e12,e12),e10) = op1(e12,op1(e12,e10)),
    i_0_40 ).

cnf(c_0_1468,plain,
    op1(e12,e12) = e10,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1460,c_0_1458]),c_0_1461]),c_0_1453])]),c_0_1454]),c_0_1459]) ).

cnf(c_0_1469,plain,
    ( op1(e12,e10) = e10
    | op1(e12,e10) = e11
    | op1(e12,e10) = e12
    | op1(e12,e10) = e13 ),
    i_0_8 ).

cnf(c_0_1470,plain,
    op1(e12,e10) != e11,
    inference(rw,[status(thm)],[c_0_1462,c_0_1451]) ).

cnf(c_0_1471,plain,
    op1(e12,e10) != e10,
    inference(rw,[status(thm)],[c_0_1463,c_0_1461]) ).

cnf(c_0_1472,plain,
    ( op2(e22,e22) = e20
    | op2(e23,e23) = e21
    | op2(e23,e23) = e22
    | ~ epred2_0 ),
    i_0_561 ).

cnf(c_0_1473,plain,
    epred2_0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1464,c_0_1465]),c_0_1466]) ).

cnf(c_0_1474,plain,
    e22 != e20,
    i_0_355 ).

cnf(c_0_1475,plain,
    e21 != e20,
    i_0_356 ).

cnf(c_0_1476,plain,
    op2(e23,e23) != op2(e21,e23),
    i_0_322 ).

cnf(c_0_1477,plain,
    op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
    i_0_134 ).

cnf(c_0_1478,plain,
    op2(e22,e23) = e21,
    i_0_383 ).

cnf(c_0_1479,plain,
    op1(e12,e11) != op1(e12,e13),
    i_0_256 ).

cnf(c_0_1480,plain,
    op1(e11,e11) != op1(e12,e11),
    i_0_287 ).

cnf(c_0_1481,plain,
    op1(e12,op1(e12,e10)) = e10,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1467,c_0_1468]),c_0_1461]) ).

cnf(c_0_1482,plain,
    ( op1(e12,e10) = e13
    | op1(e12,e10) = e12 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1469,c_0_1470]),c_0_1471]) ).

cnf(c_0_1483,plain,
    op2(op2(e22,e22),e20) = op2(e22,op2(e22,e20)),
    i_0_141 ).

cnf(c_0_1484,plain,
    op2(e22,e22) = e20,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1472,c_0_1465]),c_0_1465]),c_0_1473])]),c_0_1474]),c_0_1475]) ).

cnf(c_0_1485,plain,
    ( op2(e20,e20) = e20
    | op2(e23,e23) = e21
    | op2(e23,e23) = e22
    | ~ epred2_0 ),
    i_0_593 ).

cnf(c_0_1486,plain,
    op2(e22,e23) != op2(e22,e20),
    i_0_306 ).

cnf(c_0_1487,plain,
    op2(e21,e23) != e20,
    inference(rw,[status(thm)],[c_0_1476,c_0_1465]) ).

cnf(c_0_1488,plain,
    op2(e21,e23) = op2(e22,e20),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1477,c_0_1478]),c_0_1465]) ).

cnf(c_0_1489,plain,
    op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11)),
    i_0_59 ).

cnf(c_0_1490,plain,
    ( op1(e12,e11) = e10
    | op1(e12,e11) = e11
    | op1(e12,e11) = e12
    | op1(e12,e11) = e13 ),
    i_0_7 ).

cnf(c_0_1491,plain,
    op1(e12,e11) != e11,
    inference(rw,[status(thm)],[c_0_1479,c_0_1451]) ).

cnf(c_0_1492,plain,
    op1(e12,e11) != e10,
    inference(rw,[status(thm)],[c_0_1480,c_0_1458]) ).

cnf(c_0_1493,plain,
    op1(e12,e11) != op1(e12,e10),
    i_0_260 ).

cnf(c_0_1494,plain,
    op1(e12,e10) = e12,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1481,c_0_1482]),c_0_1451]),c_0_1459]) ).

cnf(c_0_1495,plain,
    op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
    i_0_138 ).

cnf(c_0_1496,plain,
    op2(e22,op2(e22,e20)) = op2(e20,e20),
    inference(rw,[status(thm)],[c_0_1483,c_0_1484]) ).

cnf(c_0_1497,plain,
    op2(e20,e20) = e20,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1485,c_0_1465]),c_0_1465]),c_0_1473])]),c_0_1474]),c_0_1475]) ).

cnf(c_0_1498,plain,
    ( op2(e21,e23) = e20
    | op2(e21,e23) = e21
    | op2(e21,e23) = e22
    | op2(e21,e23) = e23 ),
    i_0_110 ).

cnf(c_0_1499,plain,
    op2(e22,e20) != e21,
    inference(rw,[status(thm)],[c_0_1486,c_0_1478]) ).

cnf(c_0_1500,plain,
    op2(e22,e20) != e20,
    inference(rw,[status(thm)],[c_0_1487,c_0_1488]) ).

cnf(c_0_1501,plain,
    op1(e11,e11) != op1(e11,e10),
    i_0_266 ).

cnf(c_0_1502,plain,
    op1(e10,e11) != op1(e12,e11),
    i_0_289 ).

cnf(c_0_1503,plain,
    op1(e10,e11) = op1(e11,e10),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1489,c_0_1458]),c_0_1458]) ).

cnf(c_0_1504,plain,
    ( op1(e12,e11) = e13
    | op1(e12,e11) = e12 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1490,c_0_1491]),c_0_1492]) ).

cnf(c_0_1505,plain,
    op1(e12,e11) != e12,
    inference(rw,[status(thm)],[c_0_1493,c_0_1494]) ).

cnf(c_0_1506,plain,
    op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
    i_0_118 ).

cnf(c_0_1507,plain,
    op2(op2(e22,e22),e23) = op2(e22,e21),
    inference(rw,[status(thm)],[c_0_1495,c_0_1478]) ).

cnf(c_0_1508,plain,
    op2(e22,e23) != op2(e22,e21),
    i_0_304 ).

cnf(c_0_1509,plain,
    op2(e22,e22) != op2(e22,e21),
    i_0_305 ).

cnf(c_0_1510,plain,
    op2(e22,op2(e22,e20)) = e20,
    inference(rw,[status(thm)],[c_0_1496,c_0_1497]) ).

cnf(c_0_1511,plain,
    ( op2(e22,e20) = e22
    | op2(e22,e20) = e23 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1498,c_0_1488]),c_0_1488]),c_0_1488]),c_0_1488]),c_0_1499]),c_0_1500]) ).

cnf(c_0_1512,plain,
    op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
    i_0_38 ).

cnf(c_0_1513,plain,
    ( op1(e11,e10) = e10
    | op1(e11,e10) = e11
    | op1(e11,e10) = e12
    | op1(e11,e10) = e13 ),
    i_0_12 ).

cnf(c_0_1514,plain,
    op1(e11,e10) != e10,
    inference(rw,[status(thm)],[c_0_1501,c_0_1458]) ).

cnf(c_0_1515,plain,
    op1(e11,e10) != op1(e12,e11),
    inference(rw,[status(thm)],[c_0_1502,c_0_1503]) ).

cnf(c_0_1516,plain,
    op1(e12,e11) = e13,
    inference(sr,[status(thm)],[c_0_1504,c_0_1505]) ).

cnf(c_0_1517,plain,
    op1(e11,e10) != op1(e12,e10),
    i_0_293 ).

cnf(c_0_1518,plain,
    op2(op2(e23,e20),e22) = op2(e23,op2(e20,e22)),
    i_0_131 ).

cnf(c_0_1519,plain,
    op2(e23,e20) = op2(e20,e23),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1506,c_0_1465]),c_0_1465]) ).

cnf(c_0_1520,plain,
    op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
    i_0_139 ).

cnf(c_0_1521,plain,
    op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20)),
    i_0_137 ).

cnf(c_0_1522,plain,
    op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21)),
    i_0_140 ).

cnf(c_0_1523,plain,
    ( op2(e21,e21) = e20
    | op2(e23,e23) = e21
    | op2(e23,e23) = e22
    | ~ epred2_0 ),
    i_0_577 ).

cnf(c_0_1524,plain,
    ( op2(e23,e20) = e20
    | op2(e23,e20) = e21
    | op2(e23,e20) = e22
    | op2(e23,e20) = e23 ),
    i_0_105 ).

cnf(c_0_1525,plain,
    op2(e20,e23) = op2(e22,e21),
    inference(rw,[status(thm)],[c_0_1507,c_0_1484]) ).

cnf(c_0_1526,plain,
    op2(e22,e21) != e21,
    inference(rw,[status(thm)],[c_0_1508,c_0_1478]) ).

cnf(c_0_1527,plain,
    op2(e22,e21) != e20,
    inference(rw,[status(thm)],[c_0_1509,c_0_1484]) ).

cnf(c_0_1528,plain,
    op2(e22,e21) != op2(e22,e20),
    i_0_308 ).

cnf(c_0_1529,plain,
    op2(e22,e20) = e22,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1510,c_0_1511]),c_0_1478]),c_0_1475]) ).

cnf(c_0_1530,plain,
    op1(e11,e11) != op1(e11,e12),
    i_0_263 ).

cnf(c_0_1531,plain,
    op1(e11,e12) != op1(e10,e12),
    i_0_284 ).

cnf(c_0_1532,plain,
    op1(e10,e12) = op1(e12,e10),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1512,c_0_1468]),c_0_1468]) ).

cnf(c_0_1533,plain,
    ( op1(e11,e10) = e13
    | op1(e11,e10) = e12
    | op1(e11,e10) = e11 ),
    inference(sr,[status(thm)],[c_0_1513,c_0_1514]) ).

cnf(c_0_1534,plain,
    op1(e11,e10) != e13,
    inference(rw,[status(thm)],[c_0_1515,c_0_1516]) ).

cnf(c_0_1535,plain,
    op1(e11,e10) != e12,
    inference(rw,[status(thm)],[c_0_1517,c_0_1494]) ).

cnf(c_0_1536,plain,
    op2(op2(e20,e23),e22) = op2(e23,op2(e20,e22)),
    inference(rw,[status(thm)],[c_0_1518,c_0_1519]) ).

cnf(c_0_1537,plain,
    op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22)),
    i_0_143 ).

cnf(c_0_1538,plain,
    op2(e20,e22) = op2(e22,e20),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1520,c_0_1484]),c_0_1484]) ).

cnf(c_0_1539,plain,
    op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
    i_0_119 ).

cnf(c_0_1540,plain,
    op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
    i_0_37 ).

cnf(c_0_1541,plain,
    op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21)),
    i_0_120 ).

cnf(c_0_1542,plain,
    op2(e22,op2(e20,e23)) = op2(e21,e20),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1521,c_0_1478]),c_0_1519]) ).

cnf(c_0_1543,plain,
    op2(e22,op2(e22,e21)) = op2(e20,e21),
    inference(rw,[status(thm)],[c_0_1522,c_0_1484]) ).

cnf(c_0_1544,plain,
    op2(op2(e22,e20),e23) = op2(e22,op2(e20,e23)),
    i_0_146 ).

cnf(c_0_1545,plain,
    op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21)),
    i_0_144 ).

cnf(c_0_1546,plain,
    op2(e21,e21) = e20,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1523,c_0_1465]),c_0_1465]),c_0_1473])]),c_0_1474]),c_0_1475]) ).

cnf(c_0_1547,plain,
    ( op2(e22,e21) = e22
    | op2(e22,e21) = e23 ),
    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(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1524,c_0_1519]),c_0_1525]),c_0_1519]),c_0_1525]),c_0_1519]),c_0_1525]),c_0_1519]),c_0_1525]),c_0_1526]),c_0_1527]) ).

cnf(c_0_1548,plain,
    op2(e22,e21) != e22,
    inference(rw,[status(thm)],[c_0_1528,c_0_1529]) ).

cnf(c_0_1549,plain,
    op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
    i_0_158 ).

cnf(c_0_1550,plain,
    op1(e13,e11) != op1(e13,e13),
    i_0_250 ).

cnf(c_0_1551,plain,
    op1(e10,e11) != op1(e13,e11),
    i_0_288 ).

cnf(c_0_1552,plain,
    ( op1(e11,e12) = e10
    | op1(e11,e12) = e11
    | op1(e11,e12) = e12
    | op1(e11,e12) = e13 ),
    i_0_10 ).

cnf(c_0_1553,plain,
    op1(e11,e12) != e10,
    inference(rw,[status(thm)],[c_0_1530,c_0_1458]) ).

cnf(c_0_1554,plain,
    op1(e11,e12) != op1(e12,e10),
    inference(rw,[status(thm)],[c_0_1531,c_0_1532]) ).

cnf(c_0_1555,plain,
    op1(e11,e10) != op1(e11,e12),
    i_0_265 ).

cnf(c_0_1556,plain,
    op1(e11,e10) = e11,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1533,c_0_1534]),c_0_1535]) ).

cnf(c_0_1557,plain,
    op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20)),
    i_0_125 ).

cnf(c_0_1558,plain,
    op2(e23,op2(e22,e20)) = op2(e22,op2(e21,e22)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1536,c_0_1525]),c_0_1537]),c_0_1538]) ).

cnf(c_0_1559,plain,
    op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23)),
    i_0_122 ).

cnf(c_0_1560,plain,
    op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
    i_0_123 ).

cnf(c_0_1561,plain,
    op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
    i_0_33 ).

cnf(c_0_1562,plain,
    op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22)),
    i_0_167 ).

cnf(c_0_1563,plain,
    op2(e23,op2(e23,e22)) = op2(e20,e22),
    inference(rw,[status(thm)],[c_0_1539,c_0_1465]) ).

cnf(c_0_1564,plain,
    op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22)),
    i_0_135 ).

cnf(c_0_1565,plain,
    op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)),
    i_0_17 ).

cnf(c_0_1566,plain,
    op1(e10,e13) = op1(e12,e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1540,c_0_1468]),c_0_1451]) ).

cnf(c_0_1567,negated_conjecture,
    ( h12(e12) != e23
    | ~ epred14_0 ),
    i_0_434 ).

cnf(c_0_1568,plain,
    h12(e12) = e23,
    i_0_432 ).

cnf(c_0_1569,plain,
    op2(e23,op2(e23,e21)) = op2(e20,e21),
    inference(rw,[status(thm)],[c_0_1541,c_0_1465]) ).

cnf(c_0_1570,plain,
    op2(e20,e21) = op2(e21,e20),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1542,c_0_1525]),c_0_1543]) ).

cnf(c_0_1571,plain,
    op2(op2(e22,e20),e23) = op2(e21,e20),
    inference(rw,[status(thm)],[c_0_1544,c_0_1542]) ).

cnf(c_0_1572,plain,
    op2(op2(e22,e21),e21) = op2(e22,e20),
    inference(rw,[status(thm)],[c_0_1545,c_0_1546]) ).

cnf(c_0_1573,plain,
    op2(e22,e21) = e23,
    inference(sr,[status(thm)],[c_0_1547,c_0_1548]) ).

cnf(c_0_1574,plain,
    op2(op2(e21,e21),e23) = op2(e21,op2(e22,e20)),
    inference(rw,[status(thm)],[c_0_1549,c_0_1488]) ).

cnf(c_0_1575,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    i_0_3 ).

cnf(c_0_1576,plain,
    op1(e13,e11) != e10,
    inference(rw,[status(thm)],[c_0_1550,c_0_1448]) ).

cnf(c_0_1577,plain,
    op1(e13,e11) != op1(e12,e11),
    i_0_285 ).

cnf(c_0_1578,plain,
    op1(e13,e11) != op1(e11,e10),
    inference(rw,[status(thm)],[c_0_1551,c_0_1503]) ).

cnf(c_0_1579,plain,
    op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12)),
    i_0_54 ).

cnf(c_0_1580,plain,
    ( op1(e11,e12) = e13
    | op1(e11,e12) = e12
    | op1(e11,e12) = e11 ),
    inference(sr,[status(thm)],[c_0_1552,c_0_1553]) ).

cnf(c_0_1581,plain,
    op1(e11,e12) != e12,
    inference(rw,[status(thm)],[c_0_1554,c_0_1494]) ).

cnf(c_0_1582,plain,
    op1(e11,e12) != e11,
    inference(rw,[status(thm)],[c_0_1555,c_0_1556]) ).

cnf(c_0_1583,plain,
    ( epred14_0
    | h12(e10) != e20
    | h12(e11) != e21
    | h12(e13) != e22
    | h12(op1(e10,e10)) != op2(h12(e10),h12(e10))
    | h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
    | h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
    | h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
    | h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
    | h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
    | h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
    | h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
    | h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
    | h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
    | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13)) ),
    i_0_1369 ).

cnf(c_0_1584,plain,
    op2(e23,e22) = h12(e11),
    i_0_429 ).

cnf(c_0_1585,plain,
    op2(e22,e22) = h12(e10),
    i_0_430 ).

cnf(c_0_1586,plain,
    h12(e13) = e22,
    i_0_431 ).

cnf(c_0_1587,plain,
    op2(op2(e23,e22),e20) = op2(e22,op2(e21,e22)),
    inference(rw,[status(thm)],[c_0_1557,c_0_1558]) ).

cnf(c_0_1588,plain,
    op2(op2(e23,e22),e23) = op2(e23,e21),
    inference(rw,[status(thm)],[c_0_1559,c_0_1478]) ).

cnf(c_0_1589,plain,
    op2(op2(e23,e22),e22) = op2(e22,e21),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1560,c_0_1484]),c_0_1519]),c_0_1525]) ).

cnf(c_0_1590,plain,
    op1(e11,e13) = op1(e12,e10),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1561,c_0_1451]),c_0_1448]) ).

cnf(c_0_1591,plain,
    op2(e20,op2(e23,e22)) = op2(e22,op2(e21,e22)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1562,c_0_1525]),c_0_1537]) ).

cnf(c_0_1592,plain,
    op2(e23,op2(e23,e22)) = op2(e22,e20),
    inference(rw,[status(thm)],[c_0_1563,c_0_1538]) ).

cnf(c_0_1593,plain,
    op2(e22,op2(e23,e22)) = op2(e21,e22),
    inference(rw,[status(thm)],[c_0_1564,c_0_1478]) ).

cnf(c_0_1594,plain,
    op1(e13,e10) = op1(e12,e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1565,c_0_1448]),c_0_1566]),c_0_1448]) ).

cnf(c_0_1595,negated_conjecture,
    ~ epred14_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1567,c_0_1568])]) ).

cnf(c_0_1596,plain,
    op2(e23,op2(e23,e21)) = op2(e21,e20),
    inference(rw,[status(thm)],[c_0_1569,c_0_1570]) ).

cnf(c_0_1597,plain,
    op2(e21,e20) = e21,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1571,c_0_1529]),c_0_1478]) ).

cnf(c_0_1598,plain,
    op2(e23,e21) = e22,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1572,c_0_1573]),c_0_1529]) ).

cnf(c_0_1599,plain,
    op2(e21,op2(e22,e20)) = op2(e22,e21),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1574,c_0_1546]),c_0_1525]) ).

cnf(c_0_1600,plain,
    ( op1(e13,e11) = e13
    | op1(e13,e11) = e12
    | op1(e13,e11) = e11 ),
    inference(sr,[status(thm)],[c_0_1575,c_0_1576]) ).

cnf(c_0_1601,plain,
    op1(e13,e11) != e13,
    inference(rw,[status(thm)],[c_0_1577,c_0_1516]) ).

cnf(c_0_1602,plain,
    op1(e13,e11) != e11,
    inference(rw,[status(thm)],[c_0_1578,c_0_1556]) ).

cnf(c_0_1603,plain,
    op1(op1(e11,e12),e12) = op1(e11,e10),
    inference(rw,[status(thm)],[c_0_1579,c_0_1468]) ).

cnf(c_0_1604,plain,
    op1(e11,e12) = e13,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1580,c_0_1581]),c_0_1582]) ).

cnf(c_0_1605,plain,
    ( h12(op1(e11,e10)) != op2(e22,op2(e21,e22))
    | op2(op2(e23,e22),op2(e23,e22)) != e20
    | h12(op1(e11,e12)) != op2(e23,e21)
    | h12(op1(e12,e10)) != op2(e22,e21)
    | h12(op1(e12,e11)) != op2(e22,e20)
    | h12(op1(e13,e11)) != op2(e21,e22)
    | h12(op1(e13,e12)) != e21
    | op2(e23,e22) != e21 ),
    inference(sr,[status(thm)],[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)],[c_0_1583,c_0_1584]),c_0_1585]),c_0_1484]),c_0_1586]),c_0_1584]),c_0_1584]),c_0_1458]),c_0_1585]),c_0_1484]),c_0_1584]),c_0_1585]),c_0_1484]),c_0_1587]),c_0_1584]),c_0_1568]),c_0_1588]),c_0_1584]),c_0_1586]),c_0_1589]),c_0_1590]),c_0_1585]),c_0_1484]),c_0_1584]),c_0_1591]),c_0_1503]),c_0_1585]),c_0_1484]),c_0_1585]),c_0_1484]),c_0_1497]),c_0_1461]),c_0_1585]),c_0_1484]),c_0_1585]),c_0_1484]),c_0_1568]),c_0_1525]),c_0_1532]),c_0_1585]),c_0_1484]),c_0_1586]),c_0_1538]),c_0_1566]),c_0_1568]),c_0_1584]),c_0_1592]),c_0_1568]),c_0_1585]),c_0_1484]),c_0_1519]),c_0_1525]),c_0_1568]),c_0_1568]),c_0_1465]),c_0_1468]),c_0_1585]),c_0_1484]),c_0_1568]),c_0_1586]),c_0_1451]),c_0_1584]),c_0_1586]),c_0_1584]),c_0_1593]),c_0_1586]),c_0_1585]),c_0_1484]),c_0_1594]),c_0_1586]),c_0_1568]),c_0_1478]),c_0_1586]),c_0_1586]),c_0_1484]),c_0_1448]),c_0_1585]),c_0_1484])]),c_0_1595]) ).

cnf(c_0_1606,plain,
    op2(e23,e22) = e21,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1596,c_0_1597]),c_0_1598]) ).

cnf(c_0_1607,plain,
    op2(e21,e22) = e23,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1599,c_0_1529]),c_0_1573]) ).

cnf(c_0_1608,plain,
    op1(e13,e11) = e12,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1600,c_0_1601]),c_0_1602]) ).

cnf(c_0_1609,plain,
    op1(e13,e12) = e11,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1603,c_0_1604]),c_0_1556]) ).

cnf(c_0_1610,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)],[c_0_1605,c_0_1556]),c_0_1584]),c_0_1606]),c_0_1607]),c_0_1478]),c_0_1606]),c_0_1606]),c_0_1546]),c_0_1604]),c_0_1586]),c_0_1598]),c_0_1494]),c_0_1568]),c_0_1573]),c_0_1516]),c_0_1586]),c_0_1529]),c_0_1608]),c_0_1568]),c_0_1607]),c_0_1609]),c_0_1584]),c_0_1606]),c_0_1606])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : ALG015+1 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.34  % Computer : n026.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Wed Jun  8 10:27:48 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected complete mode:
% 9.27/2.95  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.27/2.95  # No SInE strategy applied
% 9.27/2.95  # Trying AutoSched0 for 150 seconds
% 9.27/2.95  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S003I
% 9.27/2.95  # and selection function PSelectNegativeLiterals.
% 9.27/2.95  #
% 9.27/2.95  # Preprocessing time       : 0.090 s
% 9.27/2.95  # Presaturation interreduction done
% 9.27/2.95  
% 9.27/2.95  # Proof found!
% 9.27/2.95  # SZS status Theorem
% 9.27/2.95  # SZS output start CNFRefutation
% See solution above
% 9.27/2.95  # Training examples: 0 positive, 0 negative
% 9.27/2.95  
% 9.27/2.95  # -------------------------------------------------
% 9.27/2.95  # User time                : 0.161 s
% 9.27/2.95  # System time              : 0.012 s
% 9.27/2.95  # Total time               : 0.173 s
% 9.27/2.95  # Maximum resident set size: 7128 pages
% 9.27/2.95  
%------------------------------------------------------------------------------