TSTP Solution File: ALG114+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG114+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n019.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 15:00:19 EDT 2022

% Result   : Theorem 6.95s 2.63s
% Output   : CNFRefutation 6.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   76
% Syntax   : Number of clauses     :  230 ( 145 unt;  77 nHn; 230 RR)
%            Number of literals    :  483 ( 476 equ; 161 neg)
%            Maximal clause size   :   20 (   2 avg)
%            Maximal term depth    :    3 (   1 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_353,plain,
    op2(op2(e22,e22),op2(e22,e22)) = e21,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_353) ).

cnf(i_0_352,plain,
    op2(e22,e22) = e23,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_352) ).

cnf(i_0_350,plain,
    op1(op1(e12,e12),op1(e12,e12)) = e11,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_350) ).

cnf(i_0_349,plain,
    op1(e12,e12) = e13,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_349) ).

cnf(i_0_340,plain,
    ( op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20
    | op2(e20,e20) != e20 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_340) ).

cnf(i_0_202,plain,
    e23 != e20,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_202) ).

cnf(i_0_204,plain,
    e21 != e20,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_204) ).

cnf(i_0_284,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_284) ).

cnf(i_0_196,plain,
    e10 != e13,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_196) ).

cnf(i_0_198,plain,
    e11 != e10,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_198) ).

cnf(i_0_316,plain,
    ( op2(e20,e20) = e22
    | op2(e21,e21) = e22
    | op2(e22,e22) = e22
    | op2(e23,e23) = e22 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_316) ).

cnf(i_0_199,plain,
    e23 != e22,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_199) ).

cnf(i_0_201,plain,
    e22 != e21,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_201) ).

cnf(i_0_348,plain,
    ( op2(e20,e20) = e20
    | op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_348) ).

cnf(i_0_354,plain,
    op2(op2(e22,e22),e22) = e20,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_354) ).

cnf(i_0_351,plain,
    op1(op1(e12,e12),e12) = e10,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_351) ).

cnf(i_0_276,plain,
    ( op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10
    | op1(e10,e10) != e10 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_276) ).

cnf(i_0_203,plain,
    e22 != e20,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_203) ).

cnf(i_0_149,plain,
    op2(e23,e22) != op2(e23,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_149) ).

cnf(i_0_162,plain,
    op2(e21,e21) != op2(e21,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_162) ).

cnf(i_0_272,plain,
    ( op1(e12,e12) = e10
    | op1(e13,e13) = e10
    | op1(e10,e10) != e10
    | op1(e10,e10) != e11 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_272) ).

cnf(i_0_252,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e11) = e12
    | op1(e12,e12) = e12
    | op1(e13,e13) = e12 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_252) ).

cnf(i_0_193,plain,
    e13 != e12,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_193) ).

cnf(i_0_195,plain,
    e11 != e12,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_195) ).

cnf(i_0_101,plain,
    op1(e13,e10) != op1(e13,e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_101) ).

cnf(i_0_114,plain,
    op1(e11,e11) != op1(e11,e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_114) ).

cnf(i_0_95,plain,
    ( op2(e20,e20) = e20
    | op2(e21,e20) = e20
    | op2(e22,e20) = e20
    | op2(e23,e20) = e20 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_95) ).

cnf(i_0_107,plain,
    op1(e12,e10) != op1(e12,e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_107) ).

cnf(i_0_280,plain,
    ( op1(e10,e10) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10
    | op1(e10,e10) != e11 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_280) ).

cnf(i_0_100,plain,
    op1(e13,e10) != op1(e13,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_100) ).

cnf(i_0_197,plain,
    e10 != e12,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_197) ).

cnf(i_0_47,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e10) = e10
    | op1(e12,e10) = e10
    | op1(e13,e10) = e10 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_47) ).

cnf(i_0_154,plain,
    op2(e22,e23) != op2(e22,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_154) ).

cnf(i_0_151,plain,
    op2(e22,e23) != op2(e22,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_151) ).

cnf(i_0_169,plain,
    op2(e23,e23) != op2(e22,e23),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_169) ).

cnf(i_0_148,plain,
    op2(e23,e23) != op2(e23,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_148) ).

cnf(i_0_41,plain,
    ( op1(e10,e10) = e13
    | op1(e11,e10) = e13
    | op1(e12,e10) = e13
    | op1(e13,e10) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_41) ).

cnf(i_0_45,plain,
    ( op1(e10,e10) = e11
    | op1(e11,e10) = e11
    | op1(e12,e10) = e11
    | op1(e13,e10) = e11 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_45) ).

cnf(i_0_53,plain,
    ( op2(e22,e23) = e20
    | op2(e22,e23) = e21
    | op2(e22,e23) = e22
    | op2(e22,e23) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_53) ).

cnf(i_0_89,plain,
    ( op2(e20,e20) = e23
    | op2(e21,e20) = e23
    | op2(e22,e20) = e23
    | op2(e23,e20) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_89) ).

cnf(i_0_93,plain,
    ( op2(e20,e20) = e21
    | op2(e21,e20) = e21
    | op2(e22,e20) = e21
    | op2(e23,e20) = e21 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_93) ).

cnf(i_0_103,plain,
    op1(e12,e13) != op1(e12,e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_103) ).

cnf(i_0_121,plain,
    op1(e13,e13) != op1(e12,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_121) ).

cnf(i_0_75,plain,
    ( op2(e20,e22) = e22
    | op2(e21,e22) = e22
    | op2(e22,e22) = e22
    | op2(e23,e22) = e22 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_75) ).

cnf(i_0_167,plain,
    op2(e20,e22) != op2(e20,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_167) ).

cnf(i_0_152,plain,
    op2(e22,e23) != op2(e22,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_152) ).

cnf(i_0_183,plain,
    op2(e22,e21) != op2(e21,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_183) ).

cnf(i_0_153,plain,
    op2(e22,e22) != op2(e22,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_153) ).

cnf(i_0_200,plain,
    e23 != e21,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_200) ).

cnf(i_0_158,plain,
    op2(e21,e23) != op2(e21,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_158) ).

cnf(i_0_105,plain,
    op1(e12,e11) != op1(e12,e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_105) ).

cnf(i_0_194,plain,
    e11 != e13,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_194) ).

cnf(i_0_110,plain,
    op1(e11,e11) != op1(e11,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_110) ).

cnf(i_0_5,plain,
    ( op1(e12,e13) = e10
    | op1(e12,e13) = e11
    | op1(e12,e13) = e12
    | op1(e12,e13) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_5) ).

cnf(i_0_106,plain,
    op1(e12,e10) != op1(e12,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_106) ).

cnf(i_0_55,plain,
    ( op2(e22,e21) = e20
    | op2(e22,e21) = e21
    | op2(e22,e21) = e22
    | op2(e22,e21) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_55) ).

cnf(i_0_68,plain,
    ( op2(e23,e20) = e22
    | op2(e23,e21) = e22
    | op2(e23,e22) = e22
    | op2(e23,e23) = e22 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_68) ).

cnf(i_0_71,plain,
    ( op2(e20,e23) = e20
    | op2(e21,e23) = e20
    | op2(e22,e23) = e20
    | op2(e23,e23) = e20 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_71) ).

cnf(i_0_375,negated_conjecture,
    ( h3(e13) != e23
    | ~ epred3_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_375) ).

cnf(i_0_363,plain,
    op2(e22,e22) = h3(e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_363) ).

cnf(i_0_27,plain,
    ( op1(e10,e12) = e12
    | op1(e11,e12) = e12
    | op1(e12,e12) = e12
    | op1(e13,e12) = e12 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_27) ).

cnf(i_0_119,plain,
    op1(e10,e10) != op1(e10,e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_119) ).

cnf(i_0_30,plain,
    ( op1(e12,e10) = e11
    | op1(e12,e11) = e11
    | op1(e12,e12) = e11
    | op1(e12,e13) = e11 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_30) ).

cnf(i_0_33,plain,
    ( op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_33) ).

cnf(i_0_102,plain,
    op1(e13,e11) != op1(e13,e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_102) ).

cnf(i_0_23,plain,
    ( op1(e10,e13) = e10
    | op1(e11,e13) = e10
    | op1(e12,e13) = e10
    | op1(e13,e13) = e10 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_23) ).

cnf(i_0_365,plain,
    op2(op2(e22,e22),e22) = h3(e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_365) ).

cnf(i_0_364,plain,
    op2(op2(e22,e22),op2(e22,e22)) = h3(e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_364) ).

cnf(i_0_77,plain,
    ( op2(e20,e22) = e21
    | op2(e21,e22) = e21
    | op2(e22,e22) = e21
    | op2(e23,e22) = e21 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_77) ).

cnf(i_0_81,plain,
    ( op2(e20,e21) = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_81) ).

cnf(i_0_65,plain,
    ( op2(e20,e23) = e23
    | op2(e21,e23) = e23
    | op2(e22,e23) = e23
    | op2(e23,e23) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_65) ).

cnf(i_0_29,plain,
    ( op1(e10,e12) = e11
    | op1(e11,e12) = e11
    | op1(e12,e12) = e11
    | op1(e13,e12) = e11 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_29) ).

cnf(i_0_35,plain,
    ( op1(e10,e11) = e12
    | op1(e11,e11) = e12
    | op1(e12,e11) = e12
    | op1(e13,e11) = e12 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_35) ).

cnf(i_0_17,plain,
    ( op1(e10,e13) = e13
    | op1(e11,e13) = e13
    | op1(e12,e13) = e13
    | op1(e13,e13) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_17) ).

cnf(i_0_572,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-b6hjouqf/lgb.p',i_0_572) ).

cnf(i_0_366,plain,
    h3(e12) = e22,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b6hjouqf/lgb.p',i_0_366) ).

cnf(c_0_649,plain,
    op2(op2(e22,e22),op2(e22,e22)) = e21,
    i_0_353 ).

cnf(c_0_650,plain,
    op2(e22,e22) = e23,
    i_0_352 ).

cnf(c_0_651,plain,
    op1(op1(e12,e12),op1(e12,e12)) = e11,
    i_0_350 ).

cnf(c_0_652,plain,
    op1(e12,e12) = e13,
    i_0_349 ).

cnf(c_0_653,plain,
    ( op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20
    | op2(e20,e20) != e20 ),
    i_0_340 ).

cnf(c_0_654,plain,
    op2(e23,e23) = e21,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_649,c_0_650]),c_0_650]) ).

cnf(c_0_655,plain,
    e23 != e20,
    i_0_202 ).

cnf(c_0_656,plain,
    e21 != e20,
    i_0_204 ).

cnf(c_0_657,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10 ),
    i_0_284 ).

cnf(c_0_658,plain,
    op1(e13,e13) = e11,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_651,c_0_652]),c_0_652]) ).

cnf(c_0_659,plain,
    e10 != e13,
    i_0_196 ).

cnf(c_0_660,plain,
    e11 != e10,
    i_0_198 ).

cnf(c_0_661,plain,
    ( op2(e20,e20) = e22
    | op2(e21,e21) = e22
    | op2(e22,e22) = e22
    | op2(e23,e23) = e22 ),
    i_0_316 ).

cnf(c_0_662,plain,
    e23 != e22,
    i_0_199 ).

cnf(c_0_663,plain,
    e22 != e21,
    i_0_201 ).

cnf(c_0_664,plain,
    ( op2(e20,e20) = e20
    | op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    i_0_348 ).

cnf(c_0_665,plain,
    ( op2(e21,e21) = e20
    | op2(e20,e20) != e20 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_653,c_0_650]),c_0_654]),c_0_655]),c_0_656]) ).

cnf(c_0_666,plain,
    op2(op2(e22,e22),e22) = e20,
    i_0_354 ).

cnf(c_0_667,plain,
    op1(op1(e12,e12),e12) = e10,
    i_0_351 ).

cnf(c_0_668,plain,
    ( op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10
    | op1(e10,e10) != e10 ),
    i_0_276 ).

cnf(c_0_669,plain,
    ( op1(e11,e11) = e10
    | op1(e10,e10) = e10 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_657,c_0_652]),c_0_658]),c_0_659]),c_0_660]) ).

cnf(c_0_670,plain,
    ( op2(e21,e21) = e22
    | op2(e20,e20) = e22 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_661,c_0_650]),c_0_654]),c_0_662]),c_0_663]) ).

cnf(c_0_671,plain,
    op2(e21,e21) = e20,
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_664,c_0_650]),c_0_654]),c_0_655]),c_0_656]),c_0_665]) ).

cnf(c_0_672,plain,
    e22 != e20,
    i_0_203 ).

cnf(c_0_673,plain,
    op2(e23,e22) != op2(e23,e20),
    i_0_149 ).

cnf(c_0_674,plain,
    op2(e23,e22) = e20,
    inference(rw,[status(thm)],[c_0_666,c_0_650]) ).

cnf(c_0_675,plain,
    op2(e21,e21) != op2(e21,e20),
    i_0_162 ).

cnf(c_0_676,plain,
    ( op1(e12,e12) = e10
    | op1(e13,e13) = e10
    | op1(e10,e10) != e10
    | op1(e10,e10) != e11 ),
    i_0_272 ).

cnf(c_0_677,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e11) = e12
    | op1(e12,e12) = e12
    | op1(e13,e13) = e12 ),
    i_0_252 ).

cnf(c_0_678,plain,
    e13 != e12,
    i_0_193 ).

cnf(c_0_679,plain,
    e11 != e12,
    i_0_195 ).

cnf(c_0_680,plain,
    op1(e13,e10) != op1(e13,e12),
    i_0_101 ).

cnf(c_0_681,plain,
    op1(e13,e12) = e10,
    inference(rw,[status(thm)],[c_0_667,c_0_652]) ).

cnf(c_0_682,plain,
    op1(e11,e11) != op1(e11,e10),
    i_0_114 ).

cnf(c_0_683,plain,
    op1(e11,e11) = e10,
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_668,c_0_652]),c_0_658]),c_0_659]),c_0_660]),c_0_669]) ).

cnf(c_0_684,plain,
    ( op2(e20,e20) = e20
    | op2(e21,e20) = e20
    | op2(e22,e20) = e20
    | op2(e23,e20) = e20 ),
    i_0_95 ).

cnf(c_0_685,plain,
    op2(e20,e20) = e22,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_670,c_0_671]),c_0_672]) ).

cnf(c_0_686,plain,
    op2(e23,e20) != e20,
    inference(rw,[status(thm)],[c_0_673,c_0_674]) ).

cnf(c_0_687,plain,
    op2(e21,e20) != e20,
    inference(rw,[status(thm)],[c_0_675,c_0_671]) ).

cnf(c_0_688,plain,
    op1(e12,e10) != op1(e12,e12),
    i_0_107 ).

cnf(c_0_689,plain,
    ( op1(e10,e10) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10
    | op1(e10,e10) != e11 ),
    i_0_280 ).

cnf(c_0_690,plain,
    ( op1(e10,e10) != e10
    | op1(e10,e10) != e11 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_676,c_0_652]),c_0_658]),c_0_659]),c_0_660]) ).

cnf(c_0_691,plain,
    op1(e13,e10) != op1(e13,e13),
    i_0_100 ).

cnf(c_0_692,plain,
    ( op1(e11,e11) = e12
    | op1(e10,e10) = e12 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_677,c_0_652]),c_0_658]),c_0_678]),c_0_679]) ).

cnf(c_0_693,plain,
    e10 != e12,
    i_0_197 ).

cnf(c_0_694,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e10) = e10
    | op1(e12,e10) = e10
    | op1(e13,e10) = e10 ),
    i_0_47 ).

cnf(c_0_695,plain,
    op1(e13,e10) != e10,
    inference(rw,[status(thm)],[c_0_680,c_0_681]) ).

cnf(c_0_696,plain,
    op1(e11,e10) != e10,
    inference(rw,[status(thm)],[c_0_682,c_0_683]) ).

cnf(c_0_697,plain,
    op2(e22,e23) != op2(e22,e20),
    i_0_154 ).

cnf(c_0_698,plain,
    op2(e22,e20) = e20,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_684,c_0_685]),c_0_672]),c_0_686]),c_0_687]) ).

cnf(c_0_699,plain,
    op2(e22,e23) != op2(e22,e22),
    i_0_151 ).

cnf(c_0_700,plain,
    op2(e23,e23) != op2(e22,e23),
    i_0_169 ).

cnf(c_0_701,plain,
    op2(e23,e23) != op2(e23,e20),
    i_0_148 ).

cnf(c_0_702,plain,
    ( op1(e10,e10) = e13
    | op1(e11,e10) = e13
    | op1(e12,e10) = e13
    | op1(e13,e10) = e13 ),
    i_0_41 ).

cnf(c_0_703,plain,
    op1(e12,e10) != e13,
    inference(rw,[status(thm)],[c_0_688,c_0_652]) ).

cnf(c_0_704,plain,
    ( op1(e10,e10) = e11
    | op1(e11,e10) = e11
    | op1(e12,e10) = e11
    | op1(e13,e10) = e11 ),
    i_0_45 ).

cnf(c_0_705,plain,
    op1(e10,e10) != e11,
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_689,c_0_652]),c_0_658]),c_0_659]),c_0_660]),c_0_690]) ).

cnf(c_0_706,plain,
    op1(e13,e10) != e11,
    inference(rw,[status(thm)],[c_0_691,c_0_658]) ).

cnf(c_0_707,plain,
    op1(e10,e10) = e12,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_683,c_0_692]),c_0_693]) ).

cnf(c_0_708,plain,
    ( op1(e10,e10) = e10
    | op1(e12,e10) = e10 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_694,c_0_695]),c_0_696]) ).

cnf(c_0_709,plain,
    ( op2(e22,e23) = e20
    | op2(e22,e23) = e21
    | op2(e22,e23) = e22
    | op2(e22,e23) = e23 ),
    i_0_53 ).

cnf(c_0_710,plain,
    op2(e22,e23) != e20,
    inference(rw,[status(thm)],[c_0_697,c_0_698]) ).

cnf(c_0_711,plain,
    op2(e22,e23) != e23,
    inference(rw,[status(thm)],[c_0_699,c_0_650]) ).

cnf(c_0_712,plain,
    op2(e22,e23) != e21,
    inference(rw,[status(thm)],[c_0_700,c_0_654]) ).

cnf(c_0_713,plain,
    ( op2(e20,e20) = e23
    | op2(e21,e20) = e23
    | op2(e22,e20) = e23
    | op2(e23,e20) = e23 ),
    i_0_89 ).

cnf(c_0_714,plain,
    ( op2(e20,e20) = e21
    | op2(e21,e20) = e21
    | op2(e22,e20) = e21
    | op2(e23,e20) = e21 ),
    i_0_93 ).

cnf(c_0_715,plain,
    op2(e23,e20) != e21,
    inference(rw,[status(thm)],[c_0_701,c_0_654]) ).

cnf(c_0_716,plain,
    ( op1(e11,e10) = e13
    | op1(e13,e10) = e13
    | op1(e10,e10) = e13 ),
    inference(sr,[status(thm)],[c_0_702,c_0_703]) ).

cnf(c_0_717,plain,
    ( op1(e11,e10) = e11
    | op1(e12,e10) = e11 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_704,c_0_705]),c_0_706]) ).

cnf(c_0_718,plain,
    op1(e12,e10) = e10,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_707,c_0_708]),c_0_693]) ).

cnf(c_0_719,plain,
    op1(e12,e13) != op1(e12,e12),
    i_0_103 ).

cnf(c_0_720,plain,
    op1(e13,e13) != op1(e12,e13),
    i_0_121 ).

cnf(c_0_721,plain,
    ( op2(e20,e22) = e22
    | op2(e21,e22) = e22
    | op2(e22,e22) = e22
    | op2(e23,e22) = e22 ),
    i_0_75 ).

cnf(c_0_722,plain,
    op2(e20,e22) != op2(e20,e20),
    i_0_167 ).

cnf(c_0_723,plain,
    op2(e22,e23) != op2(e22,e21),
    i_0_152 ).

cnf(c_0_724,plain,
    op2(e22,e23) = e22,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_709,c_0_710]),c_0_711]),c_0_712]) ).

cnf(c_0_725,plain,
    op2(e22,e21) != op2(e21,e21),
    i_0_183 ).

cnf(c_0_726,plain,
    op2(e22,e22) != op2(e22,e21),
    i_0_153 ).

cnf(c_0_727,plain,
    ( op2(e21,e20) = e23
    | op2(e23,e20) = e23 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_713,c_0_698]),c_0_685]),c_0_655]),c_0_662]) ).

cnf(c_0_728,plain,
    op2(e21,e20) = e21,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_714,c_0_698]),c_0_685]),c_0_656]),c_0_663]),c_0_715]) ).

cnf(c_0_729,plain,
    e23 != e21,
    i_0_200 ).

cnf(c_0_730,plain,
    op2(e21,e23) != op2(e21,e21),
    i_0_158 ).

cnf(c_0_731,plain,
    op1(e12,e11) != op1(e12,e12),
    i_0_105 ).

cnf(c_0_732,plain,
    ( op1(e13,e10) = e13
    | op1(e11,e10) = e13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_716,c_0_707]),c_0_678]) ).

cnf(c_0_733,plain,
    op1(e11,e10) = e11,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_717,c_0_718]),c_0_660]) ).

cnf(c_0_734,plain,
    e11 != e13,
    i_0_194 ).

cnf(c_0_735,plain,
    op1(e11,e11) != op1(e11,e13),
    i_0_110 ).

cnf(c_0_736,plain,
    ( op1(e12,e13) = e10
    | op1(e12,e13) = e11
    | op1(e12,e13) = e12
    | op1(e12,e13) = e13 ),
    i_0_5 ).

cnf(c_0_737,plain,
    op1(e12,e13) != e13,
    inference(rw,[status(thm)],[c_0_719,c_0_652]) ).

cnf(c_0_738,plain,
    op1(e12,e13) != e11,
    inference(rw,[status(thm)],[c_0_720,c_0_658]) ).

cnf(c_0_739,plain,
    op1(e12,e10) != op1(e12,e13),
    i_0_106 ).

cnf(c_0_740,plain,
    ( op2(e21,e22) = e22
    | op2(e20,e22) = e22 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_721,c_0_650]),c_0_674]),c_0_662]),c_0_672]) ).

cnf(c_0_741,plain,
    op2(e20,e22) != e22,
    inference(rw,[status(thm)],[c_0_722,c_0_685]) ).

cnf(c_0_742,plain,
    ( op2(e22,e21) = e20
    | op2(e22,e21) = e21
    | op2(e22,e21) = e22
    | op2(e22,e21) = e23 ),
    i_0_55 ).

cnf(c_0_743,plain,
    op2(e22,e21) != e22,
    inference(rw,[status(thm)],[c_0_723,c_0_724]) ).

cnf(c_0_744,plain,
    op2(e22,e21) != e20,
    inference(rw,[status(thm)],[c_0_725,c_0_671]) ).

cnf(c_0_745,plain,
    op2(e22,e21) != e23,
    inference(rw,[status(thm)],[c_0_726,c_0_650]) ).

cnf(c_0_746,plain,
    ( op2(e23,e20) = e22
    | op2(e23,e21) = e22
    | op2(e23,e22) = e22
    | op2(e23,e23) = e22 ),
    i_0_68 ).

cnf(c_0_747,plain,
    op2(e23,e20) = e23,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_727,c_0_728]),c_0_729]) ).

cnf(c_0_748,plain,
    ( op2(e20,e23) = e20
    | op2(e21,e23) = e20
    | op2(e22,e23) = e20
    | op2(e23,e23) = e20 ),
    i_0_71 ).

cnf(c_0_749,plain,
    op2(e21,e23) != e20,
    inference(rw,[status(thm)],[c_0_730,c_0_671]) ).

cnf(c_0_750,negated_conjecture,
    ( h3(e13) != e23
    | ~ epred3_0 ),
    i_0_375 ).

cnf(c_0_751,plain,
    op2(e22,e22) = h3(e13),
    i_0_363 ).

cnf(c_0_752,plain,
    ( op1(e10,e12) = e12
    | op1(e11,e12) = e12
    | op1(e12,e12) = e12
    | op1(e13,e12) = e12 ),
    i_0_27 ).

cnf(c_0_753,plain,
    op1(e10,e10) != op1(e10,e12),
    i_0_119 ).

cnf(c_0_754,plain,
    ( op1(e12,e10) = e11
    | op1(e12,e11) = e11
    | op1(e12,e12) = e11
    | op1(e12,e13) = e11 ),
    i_0_30 ).

cnf(c_0_755,plain,
    ( op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    i_0_33 ).

cnf(c_0_756,plain,
    op1(e12,e11) != e13,
    inference(rw,[status(thm)],[c_0_731,c_0_652]) ).

cnf(c_0_757,plain,
    op1(e13,e11) != op1(e13,e10),
    i_0_102 ).

cnf(c_0_758,plain,
    op1(e13,e10) = e13,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_732,c_0_733]),c_0_734]) ).

cnf(c_0_759,plain,
    ( op1(e10,e13) = e10
    | op1(e11,e13) = e10
    | op1(e12,e13) = e10
    | op1(e13,e13) = e10 ),
    i_0_23 ).

cnf(c_0_760,plain,
    op1(e11,e13) != e10,
    inference(rw,[status(thm)],[c_0_735,c_0_683]) ).

cnf(c_0_761,plain,
    ( op1(e12,e13) = e10
    | op1(e12,e13) = e12 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_736,c_0_737]),c_0_738]) ).

cnf(c_0_762,plain,
    op1(e12,e13) != e10,
    inference(rw,[status(thm)],[c_0_739,c_0_718]) ).

cnf(c_0_763,plain,
    op2(op2(e22,e22),e22) = h3(e10),
    i_0_365 ).

cnf(c_0_764,plain,
    op2(op2(e22,e22),op2(e22,e22)) = h3(e11),
    i_0_364 ).

cnf(c_0_765,plain,
    ( op2(e20,e22) = e21
    | op2(e21,e22) = e21
    | op2(e22,e22) = e21
    | op2(e23,e22) = e21 ),
    i_0_77 ).

cnf(c_0_766,plain,
    op2(e21,e22) = e22,
    inference(sr,[status(thm)],[c_0_740,c_0_741]) ).

cnf(c_0_767,plain,
    ( op2(e20,e21) = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    i_0_81 ).

cnf(c_0_768,plain,
    op2(e22,e21) = e21,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_742,c_0_743]),c_0_744]),c_0_745]) ).

cnf(c_0_769,plain,
    op2(e23,e21) = e22,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_746,c_0_674]),c_0_747]),c_0_654]),c_0_672]),c_0_662]),c_0_663]) ).

cnf(c_0_770,plain,
    ( op2(e20,e23) = e23
    | op2(e21,e23) = e23
    | op2(e22,e23) = e23
    | op2(e23,e23) = e23 ),
    i_0_65 ).

cnf(c_0_771,plain,
    op2(e20,e23) = e20,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_748,c_0_724]),c_0_654]),c_0_672]),c_0_656]),c_0_749]) ).

cnf(c_0_772,negated_conjecture,
    ( op2(e22,e22) != e23
    | ~ epred3_0 ),
    inference(rw,[status(thm)],[c_0_750,c_0_751]) ).

cnf(c_0_773,plain,
    ( op1(e11,e12) = e12
    | op1(e10,e12) = e12 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_752,c_0_652]),c_0_681]),c_0_678]),c_0_693]) ).

cnf(c_0_774,plain,
    op1(e10,e12) != e12,
    inference(rw,[status(thm)],[c_0_753,c_0_707]) ).

cnf(c_0_775,plain,
    ( op1(e10,e12) = e11
    | op1(e11,e12) = e11
    | op1(e12,e12) = e11
    | op1(e13,e12) = e11 ),
    i_0_29 ).

cnf(c_0_776,plain,
    ( op1(e10,e11) = e12
    | op1(e11,e11) = e12
    | op1(e12,e11) = e12
    | op1(e13,e11) = e12 ),
    i_0_35 ).

cnf(c_0_777,plain,
    ( op1(e12,e11) = e11
    | op1(e12,e10) = e11 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_754,c_0_652]),c_0_734]),c_0_738]) ).

cnf(c_0_778,plain,
    ( op1(e13,e11) = e13
    | op1(e10,e11) = e13 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_755,c_0_683]),c_0_756]),c_0_659]) ).

cnf(c_0_779,plain,
    op1(e13,e11) != e13,
    inference(rw,[status(thm)],[c_0_757,c_0_758]) ).

cnf(c_0_780,plain,
    ( op1(e10,e13) = e13
    | op1(e11,e13) = e13
    | op1(e12,e13) = e13
    | op1(e13,e13) = e13 ),
    i_0_17 ).

cnf(c_0_781,plain,
    ( op1(e10,e13) = e10
    | op1(e12,e13) = e10 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_759,c_0_658]),c_0_660]),c_0_760]) ).

cnf(c_0_782,plain,
    op1(e12,e13) = e12,
    inference(sr,[status(thm)],[c_0_761,c_0_762]) ).

cnf(c_0_783,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_572 ).

cnf(c_0_784,plain,
    h3(e12) = e22,
    i_0_366 ).

cnf(c_0_785,plain,
    h3(e10) = e20,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_763,c_0_650]),c_0_674]) ).

cnf(c_0_786,plain,
    h3(e11) = e21,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_764,c_0_650]),c_0_650]),c_0_654]) ).

cnf(c_0_787,plain,
    op2(e20,e22) = e21,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_765,c_0_650]),c_0_674]),c_0_766]),c_0_729]),c_0_656]),c_0_663]) ).

cnf(c_0_788,plain,
    op2(e20,e21) = e23,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_767,c_0_768]),c_0_769]),c_0_671]),c_0_729]),c_0_662]),c_0_655]) ).

cnf(c_0_789,plain,
    op2(e21,e23) = e23,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_770,c_0_724]),c_0_771]),c_0_654]),c_0_662]),c_0_655]),c_0_729]) ).

cnf(c_0_790,negated_conjecture,
    ~ epred3_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_772,c_0_650])]) ).

cnf(c_0_791,plain,
    op1(e11,e12) = e12,
    inference(sr,[status(thm)],[c_0_773,c_0_774]) ).

cnf(c_0_792,plain,
    ( op1(e11,e12) = e11
    | op1(e10,e12) = e11 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_775,c_0_652]),c_0_681]),c_0_734]),c_0_660]) ).

cnf(c_0_793,plain,
    ( op1(e13,e11) = e12
    | op1(e10,e11) = e12
    | op1(e12,e11) = e12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_776,c_0_683]),c_0_693]) ).

cnf(c_0_794,plain,
    op1(e12,e11) = e11,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_777,c_0_718]),c_0_660]) ).

cnf(c_0_795,plain,
    op1(e10,e11) = e13,
    inference(sr,[status(thm)],[c_0_778,c_0_779]) ).

cnf(c_0_796,plain,
    ( op1(e11,e13) = e13
    | op1(e10,e13) = e13 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_780,c_0_658]),c_0_737]),c_0_734]) ).

cnf(c_0_797,plain,
    op1(e10,e13) = e10,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_781,c_0_782]),c_0_693]) ).

cnf(c_0_798,plain,
    ( h3(op1(e12,e10)) != e20
    | h3(op1(e12,e13)) != e22
    | h3(op1(e12,e11)) != e21
    | h3(op1(e10,e12)) != e21
    | h3(op1(e10,e10)) != e22
    | h3(op1(e10,e13)) != e20
    | h3(op1(e10,e11)) != e23
    | h3(op1(e13,e10)) != e23
    | h3(op1(e13,e11)) != e22
    | h3(op1(e11,e12)) != e22
    | h3(op1(e11,e10)) != e21
    | h3(op1(e11,e13)) != e23 ),
    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)],[c_0_783,c_0_784]),c_0_785]),c_0_786]),c_0_784]),c_0_784]),c_0_650]),c_0_652]),c_0_751]),c_0_650]),c_0_784]),c_0_785]),c_0_698]),c_0_784]),c_0_751]),c_0_650]),c_0_724]),c_0_784]),c_0_786]),c_0_768]),c_0_785]),c_0_784]),c_0_787]),c_0_785]),c_0_785]),c_0_685]),c_0_785]),c_0_751]),c_0_650]),c_0_771]),c_0_785]),c_0_786]),c_0_788]),c_0_751]),c_0_650]),c_0_784]),c_0_674]),c_0_681]),c_0_785]),c_0_751]),c_0_650]),c_0_785]),c_0_747]),c_0_751]),c_0_650]),c_0_751]),c_0_650]),c_0_654]),c_0_658]),c_0_786]),c_0_751]),c_0_650]),c_0_786]),c_0_769]),c_0_786]),c_0_784]),c_0_766]),c_0_786]),c_0_785]),c_0_728]),c_0_786]),c_0_751]),c_0_650]),c_0_789]),c_0_786]),c_0_786]),c_0_671]),c_0_683]),c_0_785])]),c_0_790]) ).

cnf(c_0_799,plain,
    op1(e10,e12) = e11,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_791,c_0_792]),c_0_679]) ).

cnf(c_0_800,plain,
    op1(e13,e11) = e12,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_793,c_0_794]),c_0_679]),c_0_795]),c_0_678]) ).

cnf(c_0_801,plain,
    op1(e11,e13) = e13,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_796,c_0_797]),c_0_659]) ).

cnf(c_0_802,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)],[c_0_798,c_0_718]),c_0_785]),c_0_782]),c_0_784]),c_0_794]),c_0_786]),c_0_799]),c_0_786]),c_0_707]),c_0_784]),c_0_797]),c_0_785]),c_0_795]),c_0_751]),c_0_650]),c_0_758]),c_0_751]),c_0_650]),c_0_800]),c_0_784]),c_0_791]),c_0_784]),c_0_733]),c_0_786]),c_0_801]),c_0_751]),c_0_650])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : ALG114+1 : TPTP v8.1.0. Released v2.7.0.
% 0.04/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun  8 07:40:11 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 6.95/2.63  # ENIGMATIC: Solved by autoschedule-lgb:
% 6.95/2.63  # No SInE strategy applied
% 6.95/2.63  # Trying AutoSched0 for 150 seconds
% 6.95/2.63  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S04CA
% 6.95/2.63  # and selection function MSelectComplexExceptUniqMaxHorn.
% 6.95/2.63  #
% 6.95/2.63  # Preprocessing time       : 0.031 s
% 6.95/2.63  # Presaturation interreduction done
% 6.95/2.63  
% 6.95/2.63  # Proof found!
% 6.95/2.63  # SZS status Theorem
% 6.95/2.63  # SZS output start CNFRefutation
% See solution above
% 6.95/2.63  # Training examples: 0 positive, 0 negative
% 6.95/2.63  
% 6.95/2.63  # -------------------------------------------------
% 6.95/2.63  # User time                : 0.046 s
% 6.95/2.63  # System time              : 0.007 s
% 6.95/2.63  # Total time               : 0.054 s
% 6.95/2.63  # Maximum resident set size: 7128 pages
% 6.95/2.63  
%------------------------------------------------------------------------------