TSTP Solution File: ALG125+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG125+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 15:01:03 EDT 2022

% Result   : Theorem 9.58s 2.65s
% Output   : CNFRefutation 9.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   42
%            Number of leaves      :  140
% Syntax   : Number of clauses     :  513 ( 229 unt; 155 nHn; 513 RR)
%            Number of literals    : 1105 (1043 equ; 470 neg)
%            Maximal clause size   :   20 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   4 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   8 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_265,plain,
    op1(op1(e13,e13),op1(e13,e13)) = e10,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_265) ).

cnf(i_0_264,plain,
    op1(e13,e13) = e11,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_264) ).

cnf(i_0_223,plain,
    ( op1(e13,e11) = e13
    | op1(e13,e13) != e11 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_223) ).

cnf(i_0_263,plain,
    op1(e13,op1(op1(e13,e13),op1(e13,e13))) = e12,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_263) ).

cnf(i_0_232,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e11) != e10 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_232) ).

cnf(i_0_24,plain,
    ( op1(e13,e10) = e10
    | op1(e13,e11) = e10
    | op1(e13,e12) = e10
    | op1(e13,e13) = e10 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_24) ).

cnf(i_0_198,plain,
    e10 != e11,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_198) ).

cnf(i_0_196,plain,
    e10 != e13,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_196) ).

cnf(i_0_197,plain,
    e12 != e10,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_197) ).

cnf(i_0_113,plain,
    op1(e11,e12) != op1(e11,e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_113) ).

cnf(i_0_237,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e11) = e11
    | op1(e12,e12) = e12
    | op1(e13,e13) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_237) ).

cnf(i_0_194,plain,
    e11 != e13,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_194) ).

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-f6ohnf03/input.p',i_0_29) ).

cnf(i_0_122,plain,
    op1(e11,e13) != op1(e13,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_122) ).

cnf(i_0_110,plain,
    op1(e11,e11) != op1(e11,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_110) ).

cnf(i_0_195,plain,
    e12 != e11,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_195) ).

cnf(i_0_240,plain,
    ( epred1_0
    | op1(e11,op1(e13,e11)) != op1(e13,e11) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_240) ).

cnf(i_0_9,plain,
    ( op1(e11,e13) = e10
    | op1(e11,e13) = e11
    | op1(e11,e13) = e12
    | op1(e11,e13) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_9) ).

cnf(i_0_363,plain,
    ( op1(e10,op1(e10,e10)) != op1(e10,e10)
    | op1(e10,op1(e11,e10)) != op1(e11,e10)
    | op1(e11,op1(e12,e11)) != op1(e12,e11)
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_363) ).

cnf(i_0_117,plain,
    op1(e10,e12) != op1(e10,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_117) ).

cnf(i_0_133,plain,
    op1(e12,e11) != op1(e13,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_133) ).

cnf(i_0_135,plain,
    op1(e12,e11) != op1(e11,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_135) ).

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-f6ohnf03/input.p',i_0_23) ).

cnf(i_0_25,plain,
    ( op1(e10,e12) = e13
    | op1(e11,e12) = e13
    | op1(e12,e12) = e13
    | op1(e13,e12) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_25) ).

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-f6ohnf03/input.p',i_0_7) ).

cnf(i_0_109,plain,
    op1(e11,e12) != op1(e11,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_109) ).

cnf(i_0_37,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_37) ).

cnf(i_0_225,plain,
    ( op1(e12,e13) = e12
    | op1(e12,e12) != e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_225) ).

cnf(i_0_193,plain,
    e12 != e13,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_193) ).

cnf(i_0_227,plain,
    ( op1(e12,e11) = e12
    | op1(e12,e12) != e11 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_227) ).

cnf(i_0_118,plain,
    op1(e10,e10) != op1(e10,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_118) ).

cnf(i_0_111,plain,
    op1(e11,e12) != op1(e11,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_111) ).

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-f6ohnf03/input.p',i_0_10) ).

cnf(i_0_127,plain,
    op1(e12,e12) != op1(e13,e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_127) ).

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-f6ohnf03/input.p',i_0_17) ).

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-f6ohnf03/input.p',i_0_27) ).

cnf(i_0_141,plain,
    op1(e12,e10) != op1(e11,e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_141) ).

cnf(i_0_139,plain,
    op1(e12,e10) != op1(e13,e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_139) ).

cnf(i_0_32,plain,
    ( op1(e12,e10) = e10
    | op1(e12,e11) = e10
    | op1(e12,e12) = e10
    | op1(e12,e13) = e10 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_32) ).

cnf(i_0_105,plain,
    op1(e12,e12) != op1(e12,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_105) ).

cnf(i_0_364,plain,
    ( op1(e10,op1(e10,e10)) != op1(e10,e10)
    | op1(e10,op1(e11,e10)) != op1(e11,e10)
    | op1(e10,op1(e12,e10)) != op1(e12,e10)
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_364) ).

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-f6ohnf03/input.p',i_0_8) ).

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-f6ohnf03/input.p',i_0_47) ).

cnf(i_0_241,plain,
    ( epred1_0
    | op1(e10,op1(e13,e10)) != op1(e13,e10) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_241) ).

cnf(i_0_137,plain,
    op1(e12,e11) != op1(e10,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_137) ).

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-f6ohnf03/input.p',i_0_41) ).

cnf(i_0_28,plain,
    ( op1(e12,e10) = e12
    | op1(e12,e11) = e12
    | op1(e12,e12) = e12
    | op1(e12,e13) = e12 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_28) ).

cnf(i_0_124,plain,
    op1(e10,e13) != op1(e13,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_124) ).

cnf(i_0_144,plain,
    op1(e10,e10) != op1(e11,e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_144) ).

cnf(i_0_123,plain,
    op1(e12,e13) != op1(e11,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_123) ).

cnf(i_0_268,plain,
    op2(op2(e23,e23),op2(e23,e23)) = e20,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_268) ).

cnf(i_0_267,plain,
    op2(e23,e23) = e21,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_267) ).

cnf(i_0_274,plain,
    op2(e21,e21) = h2(e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_274) ).

cnf(i_0_46,plain,
    ( op1(e10,e10) = e11
    | op1(e10,e11) = e11
    | op1(e10,e12) = e11
    | op1(e10,e13) = e11 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_46) ).

cnf(i_0_281,plain,
    op2(e23,op2(op2(e23,e23),op2(e23,e23))) = h4(e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_281) ).

cnf(i_0_158,plain,
    op2(e21,e23) != op2(e21,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_158) ).

cnf(i_0_322,plain,
    ( op1(e12,op1(e10,e12)) != op1(e10,e12)
    | op1(e12,op1(e11,e12)) != op1(e11,e12)
    | op1(e12,op1(e12,e12)) != op1(e12,e12)
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_322) ).

cnf(i_0_169,plain,
    op2(e23,e23) != op2(e22,e23),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_169) ).

cnf(i_0_266,plain,
    op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_266) ).

cnf(i_0_244,plain,
    ( op2(e23,e21) = e23
    | op2(e23,e23) != e21 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_244) ).

cnf(i_0_253,plain,
    ( op2(e21,e20) = e21
    | op2(e21,e21) != e20 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_253) ).

cnf(i_0_170,plain,
    op2(e23,e23) != op2(e21,e23),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_170) ).

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-f6ohnf03/input.p',i_0_53) ).

cnf(i_0_186,plain,
    op2(e21,e21) != op2(e20,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_186) ).

cnf(i_0_282,plain,
    op2(e23,e23) = h4(e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_282) ).

cnf(i_0_283,plain,
    op2(op2(e23,e23),op2(e23,e23)) = h4(e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_283) ).

cnf(i_0_72,plain,
    ( op2(e23,e20) = e20
    | op2(e23,e21) = e20
    | op2(e23,e22) = e20
    | op2(e23,e23) = e20 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_72) ).

cnf(i_0_203,plain,
    e22 != e20,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_203) ).

cnf(i_0_202,plain,
    e23 != e20,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_202) ).

cnf(i_0_204,plain,
    e21 != e20,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_204) ).

cnf(i_0_285,negated_conjecture,
    ( h4(e13) != e23
    | ~ epred6_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_285) ).

cnf(i_0_284,plain,
    h4(e13) = e23,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_284) ).

cnf(i_0_57,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-f6ohnf03/input.p',i_0_57) ).

cnf(i_0_136,plain,
    op1(e10,e11) != op1(e13,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_136) ).

cnf(i_0_138,plain,
    op1(e10,e11) != op1(e11,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_138) ).

cnf(i_0_106,plain,
    op1(e12,e10) != op1(e12,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_106) ).

cnf(i_0_239,plain,
    ( epred1_0
    | op1(e12,op1(e13,e12)) != op1(e13,e12) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_239) ).

cnf(i_0_183,plain,
    op2(e22,e21) != op2(e21,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_183) ).

cnf(i_0_181,plain,
    op2(e23,e21) != op2(e22,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_181) ).

cnf(i_0_151,plain,
    op2(e22,e23) != op2(e22,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_151) ).

cnf(i_0_278,plain,
    op2(e22,e22) = h3(e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_278) ).

cnf(i_0_154,plain,
    op2(e22,e23) != op2(e22,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_154) ).

cnf(i_0_246,plain,
    ( op2(e22,e23) = e22
    | op2(e22,e22) != e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_246) ).

cnf(i_0_678,plain,
    ( epred6_0
    | h4(e10) != e20
    | h4(e11) != e21
    | h4(e12) != e22
    | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
    | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
    | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
    | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
    | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
    | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
    | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
    | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
    | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
    | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
    | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
    | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
    | h4(op1(e13,e13)) != op2(h4(e13),h4(e13)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_678) ).

cnf(i_0_270,plain,
    op2(e20,e20) = h1(e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_270) ).

cnf(i_0_157,plain,
    op2(e21,e23) != op2(e21,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_157) ).

cnf(i_0_15,plain,
    ( op1(e10,e11) = e10
    | op1(e10,e11) = e11
    | op1(e10,e11) = e12
    | op1(e10,e11) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_15) ).

cnf(i_0_153,plain,
    op2(e22,e22) != op2(e22,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_153) ).

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-f6ohnf03/input.p',i_0_55) ).

cnf(i_0_83,plain,
    ( op2(e20,e21) = e22
    | op2(e21,e21) = e22
    | op2(e22,e21) = e22
    | op2(e23,e21) = e22 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_83) ).

cnf(i_0_199,plain,
    e23 != e22,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_199) ).

cnf(i_0_96,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_96) ).

cnf(i_0_178,plain,
    op2(e23,e22) != op2(e20,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_178) ).

cnf(i_0_171,plain,
    op2(e22,e23) != op2(e21,e23),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_171) ).

cnf(i_0_174,plain,
    op2(e21,e23) != op2(e20,e23),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_174) ).

cnf(i_0_261,plain,
    ( epred2_0
    | op2(e21,op2(e23,e21)) != op2(e23,e21) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_261) ).

cnf(i_0_67,plain,
    ( op2(e20,e23) = e22
    | op2(e21,e23) = e22
    | op2(e22,e23) = e22
    | op2(e23,e23) = e22 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_67) ).

cnf(i_0_201,plain,
    e22 != e21,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_201) ).

cnf(i_0_173,plain,
    op2(e22,e23) != op2(e20,e23),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_173) ).

cnf(i_0_258,plain,
    ( op2(e20,e20) = e20
    | op2(e21,e21) = e21
    | op2(e22,e22) = e22
    | op2(e23,e23) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_258) ).

cnf(i_0_200,plain,
    e23 != e21,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_200) ).

cnf(i_0_82,plain,
    ( op2(e21,e20) = e23
    | op2(e21,e21) = e23
    | op2(e21,e22) = e23
    | op2(e21,e23) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_82) ).

cnf(i_0_74,plain,
    ( op2(e22,e20) = e23
    | op2(e22,e21) = e23
    | op2(e22,e22) = e23
    | op2(e22,e23) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_74) ).

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-f6ohnf03/input.p',i_0_65) ).

cnf(i_0_262,plain,
    ( epred2_0
    | op2(e20,op2(e23,e20)) != op2(e23,e20) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_262) ).

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-f6ohnf03/input.p',i_0_71) ).

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-f6ohnf03/input.p',i_0_75) ).

cnf(i_0_84,plain,
    ( op2(e21,e20) = e22
    | op2(e21,e21) = e22
    | op2(e21,e22) = e22
    | op2(e21,e23) = e22 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_84) ).

cnf(i_0_166,plain,
    op2(e20,e23) != op2(e20,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_166) ).

cnf(i_0_159,plain,
    op2(e21,e22) != op2(e21,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_159) ).

cnf(i_0_260,plain,
    ( epred2_0
    | op2(e22,op2(e23,e22)) != op2(e23,e22) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_260) ).

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-f6ohnf03/input.p',i_0_95) ).

cnf(i_0_192,plain,
    op2(e21,e20) != op2(e20,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_192) ).

cnf(i_0_161,plain,
    op2(e21,e22) != op2(e21,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_161) ).

cnf(i_0_187,plain,
    op2(e23,e20) != op2(e22,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_187) ).

cnf(i_0_172,plain,
    op2(e23,e23) != op2(e20,e23),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_172) ).

cnf(i_0_58,plain,
    ( op2(e21,e22) = e20
    | op2(e21,e22) = e21
    | op2(e21,e22) = e22
    | op2(e21,e22) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_58) ).

cnf(i_0_76,plain,
    ( op2(e22,e20) = e22
    | op2(e22,e21) = e22
    | op2(e22,e22) = e22
    | op2(e22,e23) = e22 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_76) ).

cnf(i_0_94,plain,
    ( op2(e20,e20) = e21
    | op2(e20,e21) = e21
    | op2(e20,e22) = e21
    | op2(e20,e23) = e21 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_94) ).

cnf(i_0_184,plain,
    op2(e23,e21) != op2(e20,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_184) ).

cnf(i_0_177,plain,
    op2(e22,e22) != op2(e21,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_177) ).

cnf(i_0_180,plain,
    op2(e21,e22) != op2(e20,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_180) ).

cnf(i_0_90,plain,
    ( op2(e20,e20) = e23
    | op2(e20,e21) = e23
    | op2(e20,e22) = e23
    | op2(e20,e23) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_90) ).

cnf(i_0_85,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_85) ).

cnf(i_0_386,plain,
    ( op2(e22,op2(e20,e22)) != op2(e20,e22)
    | op2(e22,op2(e21,e22)) != op2(e21,e22)
    | op2(e22,op2(e22,e22)) != op2(e22,e22)
    | ~ epred2_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_386) ).

cnf(i_0_191,plain,
    op2(e22,e20) != op2(e20,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_191) ).

cnf(i_0_62,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-f6ohnf03/input.p',i_0_62) ).

cnf(i_0_179,plain,
    op2(e22,e22) != op2(e20,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_179) ).

cnf(i_0_279,plain,
    op2(op2(e22,e22),op2(e22,e22)) = h3(e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_279) ).

cnf(i_0_152,plain,
    op2(e22,e23) != op2(e22,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_152) ).

cnf(i_0_277,plain,
    op2(e22,op2(op2(e22,e22),op2(e22,e22))) = h3(e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_277) ).

cnf(i_0_254,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e20) != e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_254) ).

cnf(i_0_175,plain,
    op2(e23,e22) != op2(e22,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_175) ).

cnf(i_0_428,plain,
    ( op2(e20,op2(e20,e20)) != op2(e20,e20)
    | op2(e20,op2(e21,e20)) != op2(e21,e20)
    | op2(e20,op2(e22,e20)) != op2(e22,e20)
    | ~ epred2_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_428) ).

cnf(i_0_426,plain,
    ( op2(e20,op2(e20,e20)) != op2(e20,e20)
    | op2(e20,op2(e21,e20)) != op2(e21,e20)
    | op2(e22,op2(e22,e22)) != op2(e22,e22)
    | ~ epred2_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_426) ).

cnf(i_0_80,plain,
    ( op2(e22,e20) = e20
    | op2(e22,e21) = e20
    | op2(e22,e22) = e20
    | op2(e22,e23) = e20 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_80) ).

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-f6ohnf03/input.p',i_0_77) ).

cnf(i_0_427,plain,
    ( op2(e20,op2(e20,e20)) != op2(e20,e20)
    | op2(e20,op2(e21,e20)) != op2(e21,e20)
    | op2(e21,op2(e22,e21)) != op2(e22,e21)
    | ~ epred2_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_427) ).

cnf(i_0_248,plain,
    ( op2(e22,e21) = e22
    | op2(e22,e22) != e21 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_248) ).

cnf(i_0_165,plain,
    op2(e20,e22) != op2(e20,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f6ohnf03/input.p',i_0_165) ).

cnf(c_0_819,plain,
    op1(op1(e13,e13),op1(e13,e13)) = e10,
    i_0_265 ).

cnf(c_0_820,plain,
    op1(e13,e13) = e11,
    i_0_264 ).

cnf(c_0_821,plain,
    ( op1(e13,e11) = e13
    | op1(e13,e13) != e11 ),
    i_0_223 ).

cnf(c_0_822,plain,
    op1(e13,op1(op1(e13,e13),op1(e13,e13))) = e12,
    i_0_263 ).

cnf(c_0_823,plain,
    op1(e11,e11) = e10,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_819,c_0_820]),c_0_820]) ).

cnf(c_0_824,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e11) != e10 ),
    i_0_232 ).

cnf(c_0_825,plain,
    ( op1(e13,e10) = e10
    | op1(e13,e11) = e10
    | op1(e13,e12) = e10
    | op1(e13,e13) = e10 ),
    i_0_24 ).

cnf(c_0_826,plain,
    op1(e13,e11) = e13,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_821,c_0_820])]) ).

cnf(c_0_827,plain,
    op1(e13,e10) = e12,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_822,c_0_820]),c_0_820]),c_0_823]) ).

cnf(c_0_828,plain,
    e10 != e11,
    i_0_198 ).

cnf(c_0_829,plain,
    e10 != e13,
    i_0_196 ).

cnf(c_0_830,plain,
    e12 != e10,
    i_0_197 ).

cnf(c_0_831,plain,
    op1(e11,e12) != op1(e11,e10),
    i_0_113 ).

cnf(c_0_832,plain,
    op1(e11,e10) = e11,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_824,c_0_823])]) ).

cnf(c_0_833,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e11) = e11
    | op1(e12,e12) = e12
    | op1(e13,e13) = e13 ),
    i_0_237 ).

cnf(c_0_834,plain,
    e11 != e13,
    i_0_194 ).

cnf(c_0_835,plain,
    ( op1(e10,e12) = e11
    | op1(e11,e12) = e11
    | op1(e12,e12) = e11
    | op1(e13,e12) = e11 ),
    i_0_29 ).

cnf(c_0_836,plain,
    op1(e13,e12) = e10,
    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_825,c_0_820]),c_0_826]),c_0_827]),c_0_828]),c_0_829]),c_0_830]) ).

cnf(c_0_837,plain,
    op1(e11,e12) != e11,
    inference(rw,[status(thm)],[c_0_831,c_0_832]) ).

cnf(c_0_838,plain,
    op1(e11,e13) != op1(e13,e13),
    i_0_122 ).

cnf(c_0_839,plain,
    op1(e11,e11) != op1(e11,e13),
    i_0_110 ).

cnf(c_0_840,plain,
    ( op1(e12,e12) = e12
    | op1(e10,e10) = e10 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_833,c_0_820]),c_0_823]),c_0_834]),c_0_828]) ).

cnf(c_0_841,plain,
    ( op1(e12,e12) = e11
    | op1(e10,e12) = e11 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_835,c_0_836]),c_0_828]),c_0_837]) ).

cnf(c_0_842,plain,
    e12 != e11,
    i_0_195 ).

cnf(c_0_843,plain,
    ( epred1_0
    | op1(e11,op1(e13,e11)) != op1(e13,e11) ),
    i_0_240 ).

cnf(c_0_844,plain,
    ( op1(e11,e13) = e10
    | op1(e11,e13) = e11
    | op1(e11,e13) = e12
    | op1(e11,e13) = e13 ),
    i_0_9 ).

cnf(c_0_845,plain,
    op1(e11,e13) != e11,
    inference(rw,[status(thm)],[c_0_838,c_0_820]) ).

cnf(c_0_846,plain,
    op1(e11,e13) != e10,
    inference(rw,[status(thm)],[c_0_839,c_0_823]) ).

cnf(c_0_847,plain,
    ( op1(e10,op1(e10,e10)) != op1(e10,e10)
    | op1(e10,op1(e11,e10)) != op1(e11,e10)
    | op1(e11,op1(e12,e11)) != op1(e12,e11)
    | ~ epred1_0 ),
    i_0_363 ).

cnf(c_0_848,plain,
    op1(e10,e12) != op1(e10,e11),
    i_0_117 ).

cnf(c_0_849,plain,
    ( op1(e10,e12) = e11
    | op1(e10,e10) = e10 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_840,c_0_841]),c_0_842]) ).

cnf(c_0_850,plain,
    op1(e12,e11) != op1(e13,e11),
    i_0_133 ).

cnf(c_0_851,plain,
    op1(e12,e11) != op1(e11,e11),
    i_0_135 ).

cnf(c_0_852,plain,
    ( epred1_0
    | op1(e11,e13) != e13 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_843,c_0_826]),c_0_826]) ).

cnf(c_0_853,plain,
    ( op1(e11,e13) = e12
    | op1(e11,e13) = e13 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_844,c_0_845]),c_0_846]) ).

cnf(c_0_854,plain,
    ( op1(e10,e13) = e10
    | op1(e11,e13) = e10
    | op1(e12,e13) = e10
    | op1(e13,e13) = e10 ),
    i_0_23 ).

cnf(c_0_855,plain,
    ( op1(e10,e12) = e13
    | op1(e11,e12) = e13
    | op1(e12,e12) = e13
    | op1(e13,e12) = e13 ),
    i_0_25 ).

cnf(c_0_856,plain,
    ( op1(e11,op1(e12,e11)) != op1(e12,e11)
    | op1(e10,op1(e10,e10)) != op1(e10,e10)
    | op1(e10,e11) != e11
    | ~ epred1_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_847,c_0_832]),c_0_832]) ).

cnf(c_0_857,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e11) != e11 ),
    inference(spm,[status(thm)],[c_0_848,c_0_849]) ).

cnf(c_0_858,plain,
    ( op1(e12,e11) = e10
    | op1(e12,e11) = e11
    | op1(e12,e11) = e12
    | op1(e12,e11) = e13 ),
    i_0_7 ).

cnf(c_0_859,plain,
    op1(e12,e11) != e13,
    inference(rw,[status(thm)],[c_0_850,c_0_826]) ).

cnf(c_0_860,plain,
    op1(e12,e11) != e10,
    inference(rw,[status(thm)],[c_0_851,c_0_823]) ).

cnf(c_0_861,plain,
    op1(e11,e12) != op1(e11,e13),
    i_0_109 ).

cnf(c_0_862,plain,
    ( op1(e11,e13) = e12
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_852,c_0_853]) ).

cnf(c_0_863,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    i_0_37 ).

cnf(c_0_864,plain,
    ( op1(e12,e13) = e12
    | op1(e12,e12) != e13 ),
    i_0_225 ).

cnf(c_0_865,plain,
    ( op1(e12,e13) = e10
    | op1(e10,e13) = e10 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_854,c_0_820]),c_0_828]),c_0_846]) ).

cnf(c_0_866,plain,
    ( op1(e12,e12) = e13
    | op1(e10,e12) = e13
    | op1(e11,e12) = e13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_855,c_0_836]),c_0_829]) ).

cnf(c_0_867,plain,
    e12 != e13,
    i_0_193 ).

cnf(c_0_868,plain,
    ( op1(e12,e11) = e12
    | op1(e12,e12) != e11 ),
    i_0_227 ).

cnf(c_0_869,plain,
    ( op1(e11,op1(e12,e11)) != op1(e12,e11)
    | op1(e10,e11) != e11
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_856,c_0_857]),c_0_857]) ).

cnf(c_0_870,plain,
    ( op1(e12,e11) = e12
    | op1(e12,e11) = e11 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_858,c_0_859]),c_0_860]) ).

cnf(c_0_871,plain,
    ( epred1_0
    | op1(e11,e12) != e12 ),
    inference(spm,[status(thm)],[c_0_861,c_0_862]) ).

cnf(c_0_872,plain,
    ( op1(e12,e11) = e11
    | op1(e10,e11) = e11 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_863,c_0_826]),c_0_823]),c_0_834]),c_0_828]) ).

cnf(c_0_873,plain,
    op1(e10,e10) != op1(e10,e13),
    i_0_118 ).

cnf(c_0_874,plain,
    ( op1(e10,e13) = e10
    | op1(e12,e12) != e13 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_864,c_0_865]),c_0_830]) ).

cnf(c_0_875,plain,
    ( op1(e10,e12) = e13
    | op1(e11,e12) = e13
    | op1(e10,e10) = e10 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_840,c_0_866]),c_0_867]) ).

cnf(c_0_876,plain,
    op1(e11,e12) != op1(e11,e11),
    i_0_111 ).

cnf(c_0_877,plain,
    ( op1(e10,e12) = e11
    | op1(e12,e11) = e12 ),
    inference(spm,[status(thm)],[c_0_868,c_0_841]) ).

cnf(c_0_878,plain,
    ( op1(e12,e11) = e11
    | op1(e11,e12) != e12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_869,c_0_870]),c_0_871]),c_0_872]) ).

cnf(c_0_879,plain,
    ( op1(e10,e10) != e10
    | op1(e12,e12) != e13 ),
    inference(spm,[status(thm)],[c_0_873,c_0_874]) ).

cnf(c_0_880,plain,
    ( op1(e11,e12) = e13
    | op1(e10,e10) = e10 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_849,c_0_875]),c_0_834]) ).

cnf(c_0_881,plain,
    ( op1(e11,e12) = e10
    | op1(e11,e12) = e11
    | op1(e11,e12) = e12
    | op1(e11,e12) = e13 ),
    i_0_10 ).

cnf(c_0_882,plain,
    op1(e11,e12) != e10,
    inference(rw,[status(thm)],[c_0_876,c_0_823]) ).

cnf(c_0_883,plain,
    ( op1(e10,e12) = e11
    | op1(e11,e12) != e12 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_877,c_0_878]),c_0_842]) ).

cnf(c_0_884,plain,
    ( op1(e10,e12) = e13
    | op1(e11,e12) = e13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_879,c_0_866]),c_0_880]) ).

cnf(c_0_885,plain,
    ( op1(e11,e12) = e12
    | op1(e11,e12) = e13 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_881,c_0_837]),c_0_882]) ).

cnf(c_0_886,plain,
    op1(e12,e12) != op1(e13,e12),
    i_0_127 ).

cnf(c_0_887,plain,
    ( op1(e10,e13) = e13
    | op1(e11,e13) = e13
    | op1(e12,e13) = e13
    | op1(e13,e13) = e13 ),
    i_0_17 ).

cnf(c_0_888,plain,
    op1(e11,e12) = e13,
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_883,c_0_884]),c_0_834]),c_0_885]) ).

cnf(c_0_889,plain,
    ( op1(e10,e12) = e12
    | op1(e11,e12) = e12
    | op1(e12,e12) = e12
    | op1(e13,e12) = e12 ),
    i_0_27 ).

cnf(c_0_890,plain,
    op1(e12,e10) != op1(e11,e10),
    i_0_141 ).

cnf(c_0_891,plain,
    op1(e12,e10) != op1(e13,e10),
    i_0_139 ).

cnf(c_0_892,plain,
    ( op1(e12,e10) = e10
    | op1(e12,e11) = e10
    | op1(e12,e12) = e10
    | op1(e12,e13) = e10 ),
    i_0_32 ).

cnf(c_0_893,plain,
    op1(e12,e12) != e10,
    inference(rw,[status(thm)],[c_0_886,c_0_836]) ).

cnf(c_0_894,plain,
    ( op1(e12,e13) = e13
    | op1(e10,e13) = e13
    | op1(e11,e13) = e13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_887,c_0_820]),c_0_834]) ).

cnf(c_0_895,plain,
    op1(e11,e13) != e13,
    inference(rw,[status(thm)],[c_0_861,c_0_888]) ).

cnf(c_0_896,plain,
    op1(e12,e12) != op1(e12,e11),
    i_0_105 ).

cnf(c_0_897,plain,
    ( op1(e12,e12) = e12
    | op1(e10,e12) = e12
    | op1(e11,e12) = e12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_889,c_0_836]),c_0_830]) ).

cnf(c_0_898,plain,
    ( op1(e10,op1(e10,e10)) != op1(e10,e10)
    | op1(e10,op1(e11,e10)) != op1(e11,e10)
    | op1(e10,op1(e12,e10)) != op1(e12,e10)
    | ~ epred1_0 ),
    i_0_364 ).

cnf(c_0_899,plain,
    ( op1(e12,e10) = e10
    | op1(e12,e10) = e11
    | op1(e12,e10) = e12
    | op1(e12,e10) = e13 ),
    i_0_8 ).

cnf(c_0_900,plain,
    op1(e12,e10) != e11,
    inference(rw,[status(thm)],[c_0_890,c_0_832]) ).

cnf(c_0_901,plain,
    op1(e12,e10) != e12,
    inference(rw,[status(thm)],[c_0_891,c_0_827]) ).

cnf(c_0_902,plain,
    ( op1(e12,e10) = e10
    | op1(e12,e13) = e10 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_892,c_0_860]),c_0_893]) ).

cnf(c_0_903,plain,
    ( op1(e12,e13) = e13
    | op1(e10,e13) = e13 ),
    inference(sr,[status(thm)],[c_0_894,c_0_895]) ).

cnf(c_0_904,plain,
    ( op1(e10,e12) = e12
    | op1(e11,e12) = e12
    | op1(e12,e11) != e12 ),
    inference(spm,[status(thm)],[c_0_896,c_0_897]) ).

cnf(c_0_905,plain,
    ( op1(e10,op1(e10,e10)) != op1(e10,e10)
    | op1(e10,op1(e12,e10)) != op1(e12,e10)
    | op1(e10,e11) != e11
    | ~ epred1_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_898,c_0_832]),c_0_832]) ).

cnf(c_0_906,plain,
    ( op1(e12,e10) = e10
    | op1(e12,e10) = e13 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_899,c_0_900]),c_0_901]) ).

cnf(c_0_907,plain,
    ( op1(e10,e13) = e13
    | op1(e12,e10) = e10 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_902,c_0_903]),c_0_829]) ).

cnf(c_0_908,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e10) = e10
    | op1(e12,e10) = e10
    | op1(e13,e10) = e10 ),
    i_0_47 ).

cnf(c_0_909,plain,
    ( op1(e10,e12) = e12
    | op1(e12,e11) != e12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_904,c_0_888]),c_0_867]) ).

cnf(c_0_910,plain,
    ( op1(e12,e10) = e10
    | op1(e10,op1(e10,e10)) != op1(e10,e10)
    | op1(e10,e11) != e11
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_905,c_0_906]),c_0_907]) ).

cnf(c_0_911,plain,
    ( op1(e12,e10) = e10
    | op1(e10,e10) = e10 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_908,c_0_827]),c_0_832]),c_0_830]),c_0_828]) ).

cnf(c_0_912,plain,
    ( epred1_0
    | op1(e10,op1(e13,e10)) != op1(e13,e10) ),
    i_0_241 ).

cnf(c_0_913,plain,
    op1(e12,e11) != op1(e10,e11),
    i_0_137 ).

cnf(c_0_914,plain,
    ( op1(e12,e11) = e11
    | op1(e10,e12) = e12 ),
    inference(spm,[status(thm)],[c_0_909,c_0_870]) ).

cnf(c_0_915,plain,
    ( op1(e10,e10) = e13
    | op1(e11,e10) = e13
    | op1(e12,e10) = e13
    | op1(e13,e10) = e13 ),
    i_0_41 ).

cnf(c_0_916,plain,
    ( op1(e12,e10) = e10
    | op1(e10,e11) != e11
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_910,c_0_857]),c_0_911]) ).

cnf(c_0_917,plain,
    ( epred1_0
    | op1(e10,e12) != e12 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_912,c_0_827]),c_0_827]) ).

cnf(c_0_918,plain,
    ( op1(e10,e12) = e12
    | op1(e10,e11) != e11 ),
    inference(spm,[status(thm)],[c_0_913,c_0_914]) ).

cnf(c_0_919,plain,
    ( op1(e12,e10) = e12
    | op1(e12,e11) = e12
    | op1(e12,e12) = e12
    | op1(e12,e13) = e12 ),
    i_0_28 ).

cnf(c_0_920,plain,
    ( op1(e12,e10) = e13
    | op1(e10,e10) = e13 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_915,c_0_827]),c_0_832]),c_0_867]),c_0_834]) ).

cnf(c_0_921,plain,
    ( op1(e12,e10) = e10
    | op1(e10,e11) != e11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_916,c_0_917]),c_0_918]) ).

cnf(c_0_922,plain,
    op1(e10,e13) != op1(e13,e13),
    i_0_124 ).

cnf(c_0_923,plain,
    op1(e10,e10) != op1(e11,e10),
    i_0_144 ).

cnf(c_0_924,plain,
    op1(e12,e13) != op1(e11,e13),
    i_0_123 ).

cnf(c_0_925,plain,
    ( op1(e12,e12) = e12
    | op1(e12,e11) = e12
    | op1(e12,e13) = e12 ),
    inference(sr,[status(thm)],[c_0_919,c_0_901]) ).

cnf(c_0_926,plain,
    ( op1(e11,e13) = e12
    | op1(e11,e12) != e13 ),
    inference(spm,[status(thm)],[c_0_861,c_0_853]) ).

cnf(c_0_927,plain,
    ( op1(e10,e10) = e13
    | op1(e10,e11) != e11 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_920,c_0_921]),c_0_829]) ).

cnf(c_0_928,plain,
    op2(op2(e23,e23),op2(e23,e23)) = e20,
    i_0_268 ).

cnf(c_0_929,plain,
    op2(e23,e23) = e21,
    i_0_267 ).

cnf(c_0_930,plain,
    op2(e21,e21) = h2(e11),
    i_0_274 ).

cnf(c_0_931,plain,
    ( op1(e10,e10) = e11
    | op1(e10,e11) = e11
    | op1(e10,e12) = e11
    | op1(e10,e13) = e11 ),
    i_0_46 ).

cnf(c_0_932,plain,
    op1(e10,e13) != e11,
    inference(rw,[status(thm)],[c_0_922,c_0_820]) ).

cnf(c_0_933,plain,
    op1(e10,e10) != e11,
    inference(rw,[status(thm)],[c_0_923,c_0_832]) ).

cnf(c_0_934,plain,
    ( op1(e12,e12) = e12
    | op1(e12,e11) = e12
    | op1(e11,e13) != e12 ),
    inference(spm,[status(thm)],[c_0_924,c_0_925]) ).

cnf(c_0_935,plain,
    op1(e11,e13) = e12,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_926,c_0_888])]) ).

cnf(c_0_936,plain,
    op1(e10,e11) != e11,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_857,c_0_927]),c_0_829]) ).

cnf(c_0_937,plain,
    op2(e23,op2(op2(e23,e23),op2(e23,e23))) = h4(e12),
    i_0_281 ).

cnf(c_0_938,plain,
    h2(e11) = e20,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_928,c_0_929]),c_0_929]),c_0_930]) ).

cnf(c_0_939,plain,
    op2(e21,e23) != op2(e21,e21),
    i_0_158 ).

cnf(c_0_940,plain,
    ( op1(e12,op1(e10,e12)) != op1(e10,e12)
    | op1(e12,op1(e11,e12)) != op1(e11,e12)
    | op1(e12,op1(e12,e12)) != op1(e12,e12)
    | ~ epred1_0 ),
    i_0_322 ).

cnf(c_0_941,plain,
    ( op1(e10,e12) = e11
    | op1(e10,e11) = e11 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_931,c_0_932]),c_0_933]) ).

cnf(c_0_942,plain,
    ( op1(e12,e11) = e12
    | op1(e12,e12) = e12 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_934,c_0_935])]) ).

cnf(c_0_943,plain,
    op1(e12,e11) = e11,
    inference(sr,[status(thm)],[c_0_872,c_0_936]) ).

cnf(c_0_944,plain,
    op2(e23,e23) != op2(e22,e23),
    i_0_169 ).

cnf(c_0_945,plain,
    op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22,
    i_0_266 ).

cnf(c_0_946,plain,
    op2(e23,e20) = h4(e12),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_937,c_0_929]),c_0_929]),c_0_930]),c_0_938]) ).

cnf(c_0_947,plain,
    ( op2(e23,e21) = e23
    | op2(e23,e23) != e21 ),
    i_0_244 ).

cnf(c_0_948,plain,
    ( op2(e21,e20) = e21
    | op2(e21,e21) != e20 ),
    i_0_253 ).

cnf(c_0_949,plain,
    op2(e21,e23) != h2(e11),
    inference(rw,[status(thm)],[c_0_939,c_0_930]) ).

cnf(c_0_950,plain,
    op2(e23,e23) != op2(e21,e23),
    i_0_170 ).

cnf(c_0_951,plain,
    ( op1(e12,op1(e10,e12)) != op1(e10,e12)
    | op1(e12,op1(e12,e12)) != op1(e12,e12)
    | op1(e12,e13) != e13
    | ~ epred1_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_940,c_0_888]),c_0_888]) ).

cnf(c_0_952,plain,
    op1(e10,e12) = e11,
    inference(sr,[status(thm)],[c_0_941,c_0_936]) ).

cnf(c_0_953,plain,
    op1(e12,e12) = e12,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_942,c_0_943]),c_0_842]) ).

cnf(c_0_954,plain,
    ( op2(e22,e23) = e20
    | op2(e22,e23) = e21
    | op2(e22,e23) = e22
    | op2(e22,e23) = e23 ),
    i_0_53 ).

cnf(c_0_955,plain,
    op2(e22,e23) != e21,
    inference(rw,[status(thm)],[c_0_944,c_0_929]) ).

cnf(c_0_956,plain,
    op2(e21,e21) != op2(e20,e21),
    i_0_186 ).

cnf(c_0_957,plain,
    op2(e23,e23) = h4(e11),
    i_0_282 ).

cnf(c_0_958,plain,
    op2(op2(e23,e23),op2(e23,e23)) = h4(e10),
    i_0_283 ).

cnf(c_0_959,plain,
    ( op2(e23,e20) = e20
    | op2(e23,e21) = e20
    | op2(e23,e22) = e20
    | op2(e23,e23) = e20 ),
    i_0_72 ).

cnf(c_0_960,plain,
    h4(e12) = e22,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_945,c_0_929]),c_0_929]),c_0_930]),c_0_938]),c_0_946]) ).

cnf(c_0_961,plain,
    op2(e23,e21) = e23,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_947,c_0_929])]) ).

cnf(c_0_962,plain,
    e22 != e20,
    i_0_203 ).

cnf(c_0_963,plain,
    e23 != e20,
    i_0_202 ).

cnf(c_0_964,plain,
    e21 != e20,
    i_0_204 ).

cnf(c_0_965,plain,
    ( op2(e21,e20) = e21
    | h2(e11) != e20 ),
    inference(rw,[status(thm)],[c_0_948,c_0_930]) ).

cnf(c_0_966,negated_conjecture,
    ( h4(e13) != e23
    | ~ epred6_0 ),
    i_0_285 ).

cnf(c_0_967,plain,
    h4(e13) = e23,
    i_0_284 ).

cnf(c_0_968,plain,
    ( op2(e21,e23) = e20
    | op2(e21,e23) = e21
    | op2(e21,e23) = e22
    | op2(e21,e23) = e23 ),
    i_0_57 ).

cnf(c_0_969,plain,
    op2(e21,e23) != e20,
    inference(rw,[status(thm)],[c_0_949,c_0_938]) ).

cnf(c_0_970,plain,
    op2(e21,e23) != e21,
    inference(rw,[status(thm)],[c_0_950,c_0_929]) ).

cnf(c_0_971,plain,
    op1(e10,e11) != op1(e13,e11),
    i_0_136 ).

cnf(c_0_972,plain,
    op1(e10,e11) != op1(e11,e11),
    i_0_138 ).

cnf(c_0_973,plain,
    op1(e12,e10) != op1(e12,e13),
    i_0_106 ).

cnf(c_0_974,plain,
    ( op1(e12,e13) != e13
    | ~ epred1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_951,c_0_952]),c_0_943]),c_0_952])]),c_0_953]),c_0_953]),c_0_953])]) ).

cnf(c_0_975,plain,
    ( epred1_0
    | op1(e12,op1(e13,e12)) != op1(e13,e12) ),
    i_0_239 ).

cnf(c_0_976,plain,
    op2(e22,e21) != op2(e21,e21),
    i_0_183 ).

cnf(c_0_977,plain,
    op2(e23,e21) != op2(e22,e21),
    i_0_181 ).

cnf(c_0_978,plain,
    op2(e22,e23) != op2(e22,e22),
    i_0_151 ).

cnf(c_0_979,plain,
    op2(e22,e22) = h3(e11),
    i_0_278 ).

cnf(c_0_980,plain,
    op2(e22,e23) != op2(e22,e20),
    i_0_154 ).

cnf(c_0_981,plain,
    ( op2(e22,e23) = e23
    | op2(e22,e23) = e22
    | op2(e22,e23) = e20 ),
    inference(sr,[status(thm)],[c_0_954,c_0_955]) ).

cnf(c_0_982,plain,
    op2(e20,e21) != h2(e11),
    inference(rw,[status(thm)],[c_0_956,c_0_930]) ).

cnf(c_0_983,plain,
    ( op2(e22,e23) = e22
    | op2(e22,e22) != e23 ),
    i_0_246 ).

cnf(c_0_984,plain,
    ( epred6_0
    | h4(e10) != e20
    | h4(e11) != e21
    | h4(e12) != e22
    | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
    | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
    | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
    | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
    | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
    | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
    | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
    | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
    | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
    | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
    | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
    | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
    | h4(op1(e13,e13)) != op2(h4(e13),h4(e13)) ),
    i_0_678 ).

cnf(c_0_985,plain,
    h4(e11) = e21,
    inference(rw,[status(thm)],[c_0_957,c_0_929]) ).

cnf(c_0_986,plain,
    h4(e10) = e20,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_958,c_0_929]),c_0_929]),c_0_930]),c_0_938]) ).

cnf(c_0_987,plain,
    op2(e23,e22) = e20,
    inference(sr,[status(thm)],[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_959,c_0_946]),c_0_960]),c_0_961]),c_0_929]),c_0_962]),c_0_963]),c_0_964]) ).

cnf(c_0_988,plain,
    op2(e21,e20) = e21,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_965,c_0_938])]) ).

cnf(c_0_989,plain,
    op2(e20,e20) = h1(e11),
    i_0_270 ).

cnf(c_0_990,negated_conjecture,
    ~ epred6_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_966,c_0_967])]) ).

cnf(c_0_991,plain,
    op2(e21,e23) != op2(e21,e22),
    i_0_157 ).

cnf(c_0_992,plain,
    ( op2(e21,e23) = e23
    | op2(e21,e23) = e22 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_968,c_0_969]),c_0_970]) ).

cnf(c_0_993,plain,
    ( op1(e10,e11) = e10
    | op1(e10,e11) = e11
    | op1(e10,e11) = e12
    | op1(e10,e11) = e13 ),
    i_0_15 ).

cnf(c_0_994,plain,
    op1(e10,e11) != e13,
    inference(rw,[status(thm)],[c_0_971,c_0_826]) ).

cnf(c_0_995,plain,
    op1(e10,e11) != e10,
    inference(rw,[status(thm)],[c_0_972,c_0_823]) ).

cnf(c_0_996,plain,
    ( op1(e10,e13) = e10
    | op1(e12,e10) != e10 ),
    inference(spm,[status(thm)],[c_0_973,c_0_865]) ).

cnf(c_0_997,plain,
    ( op1(e10,e13) = e13
    | ~ epred1_0 ),
    inference(spm,[status(thm)],[c_0_974,c_0_903]) ).

cnf(c_0_998,plain,
    ( epred1_0
    | op1(e12,e10) != e10 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_975,c_0_836]),c_0_836]) ).

cnf(c_0_999,plain,
    op2(e22,e22) != op2(e22,e21),
    i_0_153 ).

cnf(c_0_1000,plain,
    ( op2(e22,e21) = e20
    | op2(e22,e21) = e21
    | op2(e22,e21) = e22
    | op2(e22,e21) = e23 ),
    i_0_55 ).

cnf(c_0_1001,plain,
    op2(e22,e21) != e20,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_976,c_0_930]),c_0_938]) ).

cnf(c_0_1002,plain,
    op2(e22,e21) != e23,
    inference(rw,[status(thm)],[c_0_977,c_0_961]) ).

cnf(c_0_1003,plain,
    ( op2(e20,e21) = e22
    | op2(e21,e21) = e22
    | op2(e22,e21) = e22
    | op2(e23,e21) = e22 ),
    i_0_83 ).

cnf(c_0_1004,plain,
    e23 != e22,
    i_0_199 ).

cnf(c_0_1005,plain,
    op2(e22,e23) != h3(e11),
    inference(rw,[status(thm)],[c_0_978,c_0_979]) ).

cnf(c_0_1006,plain,
    ( op2(e22,e23) = e22
    | op2(e22,e23) = e20
    | op2(e22,e20) != e23 ),
    inference(spm,[status(thm)],[c_0_980,c_0_981]) ).

cnf(c_0_1007,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    i_0_96 ).

cnf(c_0_1008,plain,
    op2(e20,e21) != e20,
    inference(rw,[status(thm)],[c_0_982,c_0_938]) ).

cnf(c_0_1009,plain,
    op2(e23,e22) != op2(e20,e22),
    i_0_178 ).

cnf(c_0_1010,plain,
    op2(e22,e23) != op2(e21,e23),
    i_0_171 ).

cnf(c_0_1011,plain,
    ( op2(e22,e23) = e22
    | h3(e11) != e23 ),
    inference(rw,[status(thm)],[c_0_983,c_0_979]) ).

cnf(c_0_1012,plain,
    op2(e21,e23) != op2(e20,e23),
    i_0_174 ).

cnf(c_0_1013,plain,
    ( epred2_0
    | op2(e21,op2(e23,e21)) != op2(e23,e21) ),
    i_0_261 ).

cnf(c_0_1014,plain,
    ( op2(e20,e23) = e22
    | op2(e21,e23) = e22
    | op2(e22,e23) = e22
    | op2(e23,e23) = e22 ),
    i_0_67 ).

cnf(c_0_1015,plain,
    e22 != e21,
    i_0_201 ).

cnf(c_0_1016,plain,
    ( h4(op1(e11,e13)) != op2(e21,e23)
    | h4(op1(e11,e12)) != op2(e21,e22)
    | h4(op1(e10,e13)) != op2(e20,e23)
    | h4(op1(e10,e11)) != op2(e20,e21)
    | h4(op1(e10,e12)) != op2(e20,e22)
    | h4(op1(e12,e13)) != op2(e22,e23)
    | h4(op1(e12,e11)) != op2(e22,e21)
    | h4(op1(e12,e10)) != op2(e22,e20)
    | h4(op1(e10,e10)) != h1(e11)
    | h4(op1(e12,e12)) != h3(e11) ),
    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)],[c_0_984,c_0_985]),c_0_986]),c_0_960]),c_0_967]),c_0_967]),c_0_929]),c_0_820]),c_0_985]),c_0_967]),c_0_985]),c_0_961]),c_0_826]),c_0_967]),c_0_967]),c_0_986]),c_0_946]),c_0_960]),c_0_827]),c_0_960]),c_0_967]),c_0_960]),c_0_987]),c_0_836]),c_0_986]),c_0_985]),c_0_967]),c_0_985]),c_0_985]),c_0_930]),c_0_938]),c_0_823]),c_0_986]),c_0_985]),c_0_986]),c_0_988]),c_0_832]),c_0_985]),c_0_985]),c_0_960]),c_0_986]),c_0_967]),c_0_986]),c_0_985]),c_0_986]),c_0_986]),c_0_989]),c_0_986]),c_0_960]),c_0_960]),c_0_967]),c_0_960]),c_0_985]),c_0_960]),c_0_986]),c_0_960]),c_0_960]),c_0_979])]),c_0_990]) ).

cnf(c_0_1017,plain,
    ( op2(e21,e23) = e22
    | op2(e21,e22) != e23 ),
    inference(spm,[status(thm)],[c_0_991,c_0_992]) ).

cnf(c_0_1018,plain,
    ( op1(e10,e11) = e12
    | op1(e10,e11) = e11 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_993,c_0_994]),c_0_995]) ).

cnf(c_0_1019,plain,
    op1(e12,e10) != e10,
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_996,c_0_997]),c_0_829]),c_0_998]) ).

cnf(c_0_1020,plain,
    op2(e22,e21) != h3(e11),
    inference(rw,[status(thm)],[c_0_999,c_0_979]) ).

cnf(c_0_1021,plain,
    ( op2(e22,e21) = e22
    | op2(e22,e21) = e21 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1000,c_0_1001]),c_0_1002]) ).

cnf(c_0_1022,plain,
    ( op2(e22,e21) = e22
    | op2(e20,e21) = e22 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1003,c_0_930]),c_0_938]),c_0_961]),c_0_962]),c_0_1004]) ).

cnf(c_0_1023,plain,
    op2(e22,e23) != op2(e20,e23),
    i_0_173 ).

cnf(c_0_1024,plain,
    ( op2(e22,e23) = e20
    | op2(e22,e20) != e23
    | h3(e11) != e22 ),
    inference(spm,[status(thm)],[c_0_1005,c_0_1006]) ).

cnf(c_0_1025,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e22) = e20
    | h1(e11) = e20 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1007,c_0_989]),c_0_1008]) ).

cnf(c_0_1026,plain,
    op2(e20,e22) != e20,
    inference(rw,[status(thm)],[c_0_1009,c_0_987]) ).

cnf(c_0_1027,plain,
    ( op2(e20,e20) = e20
    | op2(e21,e21) = e21
    | op2(e22,e22) = e22
    | op2(e23,e23) = e23 ),
    i_0_258 ).

cnf(c_0_1028,plain,
    e23 != e21,
    i_0_200 ).

cnf(c_0_1029,plain,
    ( op2(e21,e20) = e23
    | op2(e21,e21) = e23
    | op2(e21,e22) = e23
    | op2(e21,e23) = e23 ),
    i_0_82 ).

cnf(c_0_1030,plain,
    ( op2(e22,e20) = e23
    | op2(e22,e21) = e23
    | op2(e22,e22) = e23
    | op2(e22,e23) = e23 ),
    i_0_74 ).

cnf(c_0_1031,plain,
    ( op2(e21,e23) != e22
    | h3(e11) != e23 ),
    inference(spm,[status(thm)],[c_0_1010,c_0_1011]) ).

cnf(c_0_1032,plain,
    ( op2(e21,e23) = e22
    | op2(e20,e23) != e23 ),
    inference(spm,[status(thm)],[c_0_1012,c_0_992]) ).

cnf(c_0_1033,plain,
    ( op2(e20,e23) = e23
    | op2(e21,e23) = e23
    | op2(e22,e23) = e23
    | op2(e23,e23) = e23 ),
    i_0_65 ).

cnf(c_0_1034,plain,
    ( epred2_0
    | op2(e21,e23) != e23 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1013,c_0_961]),c_0_961]) ).

cnf(c_0_1035,plain,
    ( epred2_0
    | op2(e20,op2(e23,e20)) != op2(e23,e20) ),
    i_0_262 ).

cnf(c_0_1036,plain,
    ( op2(e20,e23) = e20
    | op2(e21,e23) = e20
    | op2(e22,e23) = e20
    | op2(e23,e23) = e20 ),
    i_0_71 ).

cnf(c_0_1037,plain,
    ( op2(e22,e23) = e22
    | op2(e21,e23) = e22
    | op2(e20,e23) = e22 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1014,c_0_929]),c_0_1015]) ).

cnf(c_0_1038,plain,
    ( h4(op1(e10,e13)) != op2(e20,e23)
    | h4(op1(e10,e11)) != op2(e20,e21)
    | h4(op1(e10,e12)) != op2(e20,e22)
    | h4(op1(e12,e13)) != op2(e22,e23)
    | h4(op1(e12,e11)) != op2(e22,e21)
    | h4(op1(e12,e10)) != op2(e22,e20)
    | h4(op1(e10,e10)) != h1(e11)
    | h4(op1(e12,e12)) != h3(e11)
    | op2(e21,e22) != e23 ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1016,c_0_935]),c_0_960]),c_0_888]),c_0_967]),c_0_1017]) ).

cnf(c_0_1039,plain,
    op1(e10,e11) = e12,
    inference(sr,[status(thm)],[c_0_1018,c_0_936]) ).

cnf(c_0_1040,plain,
    op1(e12,e13) = e10,
    inference(sr,[status(thm)],[c_0_902,c_0_1019]) ).

cnf(c_0_1041,plain,
    op1(e10,e10) = e10,
    inference(sr,[status(thm)],[c_0_911,c_0_1019]) ).

cnf(c_0_1042,plain,
    ( op2(e22,e21) = e21
    | h3(e11) != e22 ),
    inference(spm,[status(thm)],[c_0_1020,c_0_1021]) ).

cnf(c_0_1043,plain,
    ( op2(e20,e21) = e22
    | h3(e11) != e22 ),
    inference(spm,[status(thm)],[c_0_1020,c_0_1022]) ).

cnf(c_0_1044,plain,
    ( op2(e20,e23) != e20
    | op2(e22,e20) != e23
    | h3(e11) != e22 ),
    inference(spm,[status(thm)],[c_0_1023,c_0_1024]) ).

cnf(c_0_1045,plain,
    ( op2(e20,e23) = e20
    | h1(e11) = e20 ),
    inference(sr,[status(thm)],[c_0_1025,c_0_1026]) ).

cnf(c_0_1046,plain,
    ( h3(e11) = e22
    | h1(e11) = e20 ),
    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)],[c_0_1027,c_0_989]),c_0_930]),c_0_938]),c_0_979]),c_0_929]),c_0_964]),c_0_1028]) ).

cnf(c_0_1047,plain,
    ( op2(e21,e23) = e23
    | op2(e21,e22) = e23 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1029,c_0_988]),c_0_930]),c_0_938]),c_0_1028]),c_0_963]) ).

cnf(c_0_1048,plain,
    ( op2(e22,e23) = e23
    | op2(e22,e20) = e23
    | h3(e11) = e23 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1030,c_0_979]),c_0_1002]) ).

cnf(c_0_1049,plain,
    ( op2(e20,e23) != e23
    | h3(e11) != e23 ),
    inference(spm,[status(thm)],[c_0_1031,c_0_1032]) ).

cnf(c_0_1050,plain,
    ( op2(e22,e23) = e23
    | op2(e21,e23) = e23
    | op2(e20,e23) = e23 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1033,c_0_929]),c_0_1028]) ).

cnf(c_0_1051,plain,
    ( op2(e21,e23) = e22
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_1034,c_0_992]) ).

cnf(c_0_1052,plain,
    ( op2(e20,e22) = e22
    | op2(e21,e22) = e22
    | op2(e22,e22) = e22
    | op2(e23,e22) = e22 ),
    i_0_75 ).

cnf(c_0_1053,plain,
    ( epred2_0
    | op2(e20,h4(e12)) != h4(e12) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1035,c_0_946]),c_0_946]) ).

cnf(c_0_1054,plain,
    ( op2(e22,e23) = e20
    | op2(e20,e23) = e20 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1036,c_0_929]),c_0_969]),c_0_964]) ).

cnf(c_0_1055,plain,
    ( op2(e21,e23) = e22
    | op2(e20,e23) = e22
    | h3(e11) != e22 ),
    inference(spm,[status(thm)],[c_0_1005,c_0_1037]) ).

cnf(c_0_1056,plain,
    ( op2(e21,e20) = e22
    | op2(e21,e21) = e22
    | op2(e21,e22) = e22
    | op2(e21,e23) = e22 ),
    i_0_84 ).

cnf(c_0_1057,plain,
    op2(e20,e23) != op2(e20,e20),
    i_0_166 ).

cnf(c_0_1058,plain,
    op2(e21,e22) != op2(e21,e21),
    i_0_159 ).

cnf(c_0_1059,plain,
    ( h4(op1(e10,e13)) != op2(e20,e23)
    | h4(op1(e12,e10)) != op2(e22,e20)
    | op2(e20,e22) != e21
    | op2(e22,e23) != e20
    | op2(e21,e22) != e23
    | h1(e11) != e20
    | h3(e11) != e22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_1038,c_0_943]),c_0_985]),c_0_1039]),c_0_960]),c_0_952]),c_0_985]),c_0_1040]),c_0_986]),c_0_1041]),c_0_986]),c_0_953]),c_0_960]),c_0_1042]),c_0_1043]) ).

cnf(c_0_1060,plain,
    op1(e12,e10) = e13,
    inference(sr,[status(thm)],[c_0_906,c_0_1019]) ).

cnf(c_0_1061,plain,
    op1(e10,e13) = e13,
    inference(sr,[status(thm)],[c_0_907,c_0_1019]) ).

cnf(c_0_1062,plain,
    ( h1(e11) = e20
    | op2(e22,e20) != e23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1044,c_0_1045]),c_0_1046]) ).

cnf(c_0_1063,plain,
    ( op2(e21,e22) = e23
    | op2(e20,e23) != e23 ),
    inference(spm,[status(thm)],[c_0_1012,c_0_1047]) ).

cnf(c_0_1064,plain,
    ( op2(e22,e20) = e23
    | op2(e20,e23) != e23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1023,c_0_1048]),c_0_1049]) ).

cnf(c_0_1065,plain,
    ( op2(e21,e23) = e23
    | op2(e20,e23) = e23
    | op2(e22,e20) != e23 ),
    inference(spm,[status(thm)],[c_0_980,c_0_1050]) ).

cnf(c_0_1066,plain,
    ( epred2_0
    | op2(e21,e22) != e22 ),
    inference(spm,[status(thm)],[c_0_991,c_0_1051]) ).

cnf(c_0_1067,plain,
    ( op2(e21,e22) = e22
    | op2(e20,e22) = e22
    | h3(e11) = e22 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1052,c_0_979]),c_0_987]),c_0_962]) ).

cnf(c_0_1068,plain,
    ( epred2_0
    | op2(e20,e22) != e22 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1053,c_0_960]),c_0_960]) ).

cnf(c_0_1069,plain,
    ( op2(e20,e23) = e20
    | h3(e11) != e23 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1011,c_0_1054]),c_0_962]) ).

cnf(c_0_1070,plain,
    ( epred2_0
    | op2(e22,op2(e23,e22)) != op2(e23,e22) ),
    i_0_260 ).

cnf(c_0_1071,plain,
    ( op2(e20,e20) = e20
    | op2(e21,e20) = e20
    | op2(e22,e20) = e20
    | op2(e23,e20) = e20 ),
    i_0_95 ).

cnf(c_0_1072,plain,
    op2(e21,e20) != op2(e20,e20),
    i_0_192 ).

cnf(c_0_1073,plain,
    ( op2(e20,e23) = e22
    | op2(e21,e22) != e22
    | h3(e11) != e22 ),
    inference(spm,[status(thm)],[c_0_991,c_0_1055]) ).

cnf(c_0_1074,plain,
    ( op2(e21,e23) = e22
    | op2(e21,e22) = e22 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1056,c_0_988]),c_0_930]),c_0_938]),c_0_1015]),c_0_962]) ).

cnf(c_0_1075,plain,
    op2(e20,e23) != h1(e11),
    inference(rw,[status(thm)],[c_0_1057,c_0_989]) ).

cnf(c_0_1076,plain,
    op2(e21,e22) != h2(e11),
    inference(rw,[status(thm)],[c_0_1058,c_0_930]) ).

cnf(c_0_1077,plain,
    op2(e21,e22) != op2(e21,e20),
    i_0_161 ).

cnf(c_0_1078,plain,
    op2(e23,e20) != op2(e22,e20),
    i_0_187 ).

cnf(c_0_1079,plain,
    ( op2(e20,e23) != e23
    | op2(e20,e22) != e21
    | h3(e11) != e22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1059,c_0_1060]),c_0_967]),c_0_1061]),c_0_967]),c_0_1062]),c_0_1063]),c_0_1024]),c_0_1064]) ).

cnf(c_0_1080,plain,
    ( op2(e20,e23) = e23
    | epred2_0
    | op2(e22,e20) != e23 ),
    inference(spm,[status(thm)],[c_0_1034,c_0_1065]) ).

cnf(c_0_1081,plain,
    ( h3(e11) = e22
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1066,c_0_1067]),c_0_1068]) ).

cnf(c_0_1082,plain,
    ( op2(e22,e20) = e23
    | op2(e20,e23) = e20 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1054,c_0_1048]),c_0_963]),c_0_1069]) ).

cnf(c_0_1083,plain,
    ( epred2_0
    | op2(e22,e20) != e20 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1070,c_0_987]),c_0_987]) ).

cnf(c_0_1084,plain,
    ( op2(e22,e20) = e20
    | h1(e11) = e20 ),
    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_1071,c_0_989]),c_0_988]),c_0_946]),c_0_960]),c_0_964]),c_0_962]) ).

cnf(c_0_1085,plain,
    op2(e21,e20) != h1(e11),
    inference(rw,[status(thm)],[c_0_1072,c_0_989]) ).

cnf(c_0_1086,plain,
    op2(e23,e23) != op2(e20,e23),
    i_0_172 ).

cnf(c_0_1087,plain,
    ( h1(e11) = e20
    | op2(e21,e22) != e22 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1045,c_0_1073]),c_0_962]),c_0_1046]) ).

cnf(c_0_1088,plain,
    ( op2(e21,e22) = e22
    | h3(e11) != e23 ),
    inference(spm,[status(thm)],[c_0_1031,c_0_1074]) ).

cnf(c_0_1089,plain,
    ( h1(e11) != e20
    | h3(e11) != e23 ),
    inference(spm,[status(thm)],[c_0_1075,c_0_1069]) ).

cnf(c_0_1090,plain,
    ( op2(e21,e22) = e20
    | op2(e21,e22) = e21
    | op2(e21,e22) = e22
    | op2(e21,e22) = e23 ),
    i_0_58 ).

cnf(c_0_1091,plain,
    op2(e21,e22) != e20,
    inference(rw,[status(thm)],[c_0_1076,c_0_938]) ).

cnf(c_0_1092,plain,
    op2(e21,e22) != e21,
    inference(rw,[status(thm)],[c_0_1077,c_0_988]) ).

cnf(c_0_1093,plain,
    ( op2(e22,e20) = e22
    | op2(e22,e21) = e22
    | op2(e22,e22) = e22
    | op2(e22,e23) = e22 ),
    i_0_76 ).

cnf(c_0_1094,plain,
    op2(e22,e20) != e22,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1078,c_0_946]),c_0_960]) ).

cnf(c_0_1095,plain,
    ( epred2_0
    | op2(e20,e22) != e21
    | op2(e22,e20) != e23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1079,c_0_1080]),c_0_1081]) ).

cnf(c_0_1096,plain,
    ( op2(e22,e20) = e23
    | h1(e11) != e20 ),
    inference(spm,[status(thm)],[c_0_1075,c_0_1082]) ).

cnf(c_0_1097,plain,
    ( h1(e11) = e20
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_1083,c_0_1084]) ).

cnf(c_0_1098,plain,
    ( op2(e20,e20) = e21
    | op2(e20,e21) = e21
    | op2(e20,e22) = e21
    | op2(e20,e23) = e21 ),
    i_0_94 ).

cnf(c_0_1099,plain,
    h1(e11) != e21,
    inference(rw,[status(thm)],[c_0_1085,c_0_988]) ).

cnf(c_0_1100,plain,
    op2(e20,e23) != e21,
    inference(rw,[status(thm)],[c_0_1086,c_0_929]) ).

cnf(c_0_1101,plain,
    h3(e11) != e23,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1087,c_0_1088]),c_0_1089]) ).

cnf(c_0_1102,plain,
    op2(e23,e21) != op2(e20,e21),
    i_0_184 ).

cnf(c_0_1103,plain,
    op2(e22,e22) != op2(e21,e22),
    i_0_177 ).

cnf(c_0_1104,plain,
    op2(e21,e22) != op2(e20,e22),
    i_0_180 ).

cnf(c_0_1105,plain,
    ( op2(e21,e22) = e23
    | op2(e21,e22) = e22 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1090,c_0_1091]),c_0_1092]) ).

cnf(c_0_1106,plain,
    ( op2(e22,e23) = e22
    | op2(e22,e21) = e22
    | h3(e11) = e22 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1093,c_0_979]),c_0_1094]) ).

cnf(c_0_1107,plain,
    ( epred2_0
    | op2(e20,e22) != e21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1095,c_0_1096]),c_0_1097]) ).

cnf(c_0_1108,plain,
    ( op2(e20,e22) = e21
    | op2(e20,e21) = e21 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1098,c_0_989]),c_0_1099]),c_0_1100]) ).

cnf(c_0_1109,plain,
    ( op2(e22,e23) = e23
    | op2(e22,e20) = e23 ),
    inference(sr,[status(thm)],[c_0_1048,c_0_1101]) ).

cnf(c_0_1110,plain,
    ( op2(e20,e20) = e23
    | op2(e20,e21) = e23
    | op2(e20,e22) = e23
    | op2(e20,e23) = e23 ),
    i_0_90 ).

cnf(c_0_1111,plain,
    op2(e20,e21) != e23,
    inference(rw,[status(thm)],[c_0_1102,c_0_961]) ).

cnf(c_0_1112,plain,
    op2(e21,e22) != h3(e11),
    inference(rw,[status(thm)],[c_0_1103,c_0_979]) ).

cnf(c_0_1113,plain,
    ( op2(e21,e22) = e22
    | op2(e20,e22) != e23 ),
    inference(spm,[status(thm)],[c_0_1104,c_0_1105]) ).

cnf(c_0_1114,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    i_0_85 ).

cnf(c_0_1115,plain,
    ( op2(e22,e21) = e22
    | op2(e20,e23) = e20
    | h3(e11) = e22 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1054,c_0_1106]),c_0_962]) ).

cnf(c_0_1116,plain,
    ( op2(e22,op2(e20,e22)) != op2(e20,e22)
    | op2(e22,op2(e21,e22)) != op2(e21,e22)
    | op2(e22,op2(e22,e22)) != op2(e22,e22)
    | ~ epred2_0 ),
    i_0_386 ).

cnf(c_0_1117,plain,
    ( op2(e20,e21) = e21
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_1107,c_0_1108]) ).

cnf(c_0_1118,plain,
    op2(e22,e20) != op2(e20,e20),
    i_0_191 ).

cnf(c_0_1119,plain,
    ( op2(e22,e20) = e23
    | op2(e21,e23) != e23 ),
    inference(spm,[status(thm)],[c_0_1010,c_0_1109]) ).

cnf(c_0_1120,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e22) = e21
    | op2(e20,e22) = e22
    | op2(e20,e22) = e23 ),
    i_0_62 ).

cnf(c_0_1121,plain,
    ( op2(e20,e23) = e23
    | op2(e20,e22) = e23
    | h1(e11) = e23 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1110,c_0_989]),c_0_1111]) ).

cnf(c_0_1122,plain,
    ( op2(e20,e22) != e23
    | h3(e11) != e22 ),
    inference(spm,[status(thm)],[c_0_1112,c_0_1113]) ).

cnf(c_0_1123,plain,
    ( op2(e22,e21) = e21
    | op2(e20,e21) = e21 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1114,c_0_930]),c_0_938]),c_0_961]),c_0_964]),c_0_1028]) ).

cnf(c_0_1124,plain,
    ( op2(e22,e21) = e22
    | h3(e11) = e22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1075,c_0_1115]),c_0_1046]) ).

cnf(c_0_1125,plain,
    ( op2(e22,op2(e20,e22)) != op2(e20,e22)
    | op2(e22,op2(e21,e22)) != op2(e21,e22)
    | op2(e22,h3(e11)) != h3(e11)
    | ~ epred2_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1116,c_0_979]),c_0_979]) ).

cnf(c_0_1126,plain,
    epred2_0,
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1043,c_0_1117]),c_0_1015]),c_0_1081]) ).

cnf(c_0_1127,plain,
    op2(e22,e20) != h1(e11),
    inference(rw,[status(thm)],[c_0_1118,c_0_989]) ).

cnf(c_0_1128,plain,
    ( op2(e21,e22) = e23
    | op2(e22,e20) = e23 ),
    inference(spm,[status(thm)],[c_0_1119,c_0_1047]) ).

cnf(c_0_1129,plain,
    op2(e22,e22) != op2(e20,e22),
    i_0_179 ).

cnf(c_0_1130,plain,
    ( op2(e20,e22) = e23
    | op2(e20,e22) = e22
    | op2(e20,e22) = e21 ),
    inference(sr,[status(thm)],[c_0_1120,c_0_1026]) ).

cnf(c_0_1131,plain,
    ( h1(e11) = e23
    | op2(e20,e22) != e21
    | h3(e11) != e22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1079,c_0_1121]),c_0_1122]) ).

cnf(c_0_1132,plain,
    ( op2(e20,e21) = e21
    | h3(e11) = e22 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1123,c_0_1124]),c_0_1015]) ).

cnf(c_0_1133,plain,
    op2(op2(e22,e22),op2(e22,e22)) = h3(e10),
    i_0_279 ).

cnf(c_0_1134,plain,
    op2(e22,e23) != op2(e22,e21),
    i_0_152 ).

cnf(c_0_1135,plain,
    ( op2(e22,op2(e20,e22)) != op2(e20,e22)
    | op2(e22,op2(e21,e22)) != op2(e21,e22)
    | op2(e22,h3(e11)) != h3(e11) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1125,c_0_1126])]) ).

cnf(c_0_1136,plain,
    ( op2(e21,e22) = e23
    | h1(e11) != e23 ),
    inference(spm,[status(thm)],[c_0_1127,c_0_1128]) ).

cnf(c_0_1137,plain,
    op2(e20,e22) != h3(e11),
    inference(rw,[status(thm)],[c_0_1129,c_0_979]) ).

cnf(c_0_1138,plain,
    ( op2(e20,e22) = e22
    | op2(e20,e22) = e21
    | h3(e11) != e22 ),
    inference(spm,[status(thm)],[c_0_1122,c_0_1130]) ).

cnf(c_0_1139,plain,
    ( op2(e20,e21) = e21
    | h1(e11) = e23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1131,c_0_1108]),c_0_1132]) ).

cnf(c_0_1140,plain,
    op2(e22,op2(op2(e22,e22),op2(e22,e22))) = h3(e12),
    i_0_277 ).

cnf(c_0_1141,plain,
    op2(h3(e11),h3(e11)) = h3(e10),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1133,c_0_979]),c_0_979]) ).

cnf(c_0_1142,plain,
    ( op2(e22,e23) = e20
    | op2(e22,e21) != e22
    | op2(e22,e20) != e23 ),
    inference(spm,[status(thm)],[c_0_1134,c_0_1006]) ).

cnf(c_0_1143,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e20) != e23 ),
    i_0_254 ).

cnf(c_0_1144,plain,
    ( op2(e22,op2(e20,e22)) != op2(e20,e22)
    | op2(e22,h3(e11)) != h3(e11)
    | op2(e22,e23) != e23
    | h1(e11) != e23 ),
    inference(spm,[status(thm)],[c_0_1135,c_0_1136]) ).

cnf(c_0_1145,plain,
    ( op2(e20,e22) = e21
    | h3(e11) != e22 ),
    inference(spm,[status(thm)],[c_0_1137,c_0_1138]) ).

cnf(c_0_1146,plain,
    ( h1(e11) = e23
    | h3(e11) != e22 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1043,c_0_1139]),c_0_1015]) ).

cnf(c_0_1147,plain,
    op2(e22,h3(e10)) = h3(e12),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1140,c_0_979]),c_0_979]),c_0_1141]) ).

cnf(c_0_1148,plain,
    ( h3(e10) = h3(e11)
    | h1(e11) = e20 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1141,c_0_1046]),c_0_979]) ).

cnf(c_0_1149,plain,
    ( op2(e20,e23) != e20
    | op2(e22,e21) != e22
    | op2(e22,e20) != e23 ),
    inference(spm,[status(thm)],[c_0_1023,c_0_1142]) ).

cnf(c_0_1150,plain,
    ( op2(e20,e23) = e20
    | h1(e11) != e23 ),
    inference(rw,[status(thm)],[c_0_1143,c_0_989]) ).

cnf(c_0_1151,plain,
    ( op2(e22,h3(e11)) != h3(e11)
    | op2(e22,e23) != e23
    | h3(e11) != e22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1144,c_0_1145]),c_0_1146]),c_0_1042]) ).

cnf(c_0_1152,plain,
    op2(e23,e22) != op2(e22,e22),
    i_0_175 ).

cnf(c_0_1153,plain,
    ( op2(e20,op2(e20,e20)) != op2(e20,e20)
    | op2(e20,op2(e21,e20)) != op2(e21,e20)
    | op2(e20,op2(e22,e20)) != op2(e22,e20)
    | ~ epred2_0 ),
    i_0_428 ).

cnf(c_0_1154,plain,
    ( op2(e20,op2(e20,e20)) != op2(e20,e20)
    | op2(e20,op2(e21,e20)) != op2(e21,e20)
    | op2(e22,op2(e22,e22)) != op2(e22,e22)
    | ~ epred2_0 ),
    i_0_426 ).

cnf(c_0_1155,plain,
    ( op2(e22,h3(e11)) = h3(e12)
    | h1(e11) = e20 ),
    inference(spm,[status(thm)],[c_0_1147,c_0_1148]) ).

cnf(c_0_1156,plain,
    ( op2(e22,e21) != e22
    | op2(e22,e20) != e23
    | h1(e11) != e23 ),
    inference(spm,[status(thm)],[c_0_1149,c_0_1150]) ).

cnf(c_0_1157,plain,
    ( op2(e22,e20) != e23
    | h3(e11) != e22
    | h1(e11) != e23 ),
    inference(spm,[status(thm)],[c_0_1044,c_0_1150]) ).

cnf(c_0_1158,plain,
    ( h1(e11) = e20
    | op2(e22,e23) != e23 ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1151,c_0_1046]),c_0_979]),c_0_1046]) ).

cnf(c_0_1159,plain,
    op2(e23,e22) != h3(e11),
    inference(rw,[status(thm)],[c_0_1152,c_0_979]) ).

cnf(c_0_1160,plain,
    ( op2(e20,op2(e22,e20)) != op2(e22,e20)
    | op2(e20,h1(e11)) != h1(e11)
    | op2(e20,e21) != e21
    | ~ epred2_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1153,c_0_989]),c_0_989]),c_0_988]),c_0_988]) ).

cnf(c_0_1161,plain,
    ( op2(e20,h1(e11)) != h1(e11)
    | op2(e22,h3(e11)) != h3(e11)
    | op2(e20,e21) != e21
    | ~ epred2_0 ),
    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_1154,c_0_989]),c_0_989]),c_0_988]),c_0_988]),c_0_979]),c_0_979]) ).

cnf(c_0_1162,plain,
    ( h3(e12) = h3(e11)
    | h1(e11) = e20 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1155,c_0_1046]),c_0_979]) ).

cnf(c_0_1163,plain,
    ( op2(e22,e20) != e23
    | h1(e11) != e23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1156,c_0_1124]),c_0_1157]) ).

cnf(c_0_1164,plain,
    op2(e22,e20) = e23,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1158,c_0_1109]),c_0_1096]) ).

cnf(c_0_1165,plain,
    ( op2(e22,e20) = e20
    | op2(e22,e21) = e20
    | op2(e22,e22) = e20
    | op2(e22,e23) = e20 ),
    i_0_80 ).

cnf(c_0_1166,plain,
    h3(e11) != e20,
    inference(rw,[status(thm)],[c_0_1159,c_0_987]) ).

cnf(c_0_1167,plain,
    ( op2(e20,e22) = e21
    | op2(e21,e22) = e21
    | op2(e22,e22) = e21
    | op2(e23,e22) = e21 ),
    i_0_77 ).

cnf(c_0_1168,plain,
    ( op2(e20,op2(e22,e20)) != op2(e22,e20)
    | op2(e20,h1(e11)) != h1(e11)
    | op2(e20,e21) != e21 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1160,c_0_1126])]) ).

cnf(c_0_1169,plain,
    ( h1(e11) = e20
    | op2(e20,h1(e11)) != h1(e11)
    | op2(e20,e21) != e21 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1161,c_0_1155]),c_0_1097]),c_0_1162]) ).

cnf(c_0_1170,plain,
    h1(e11) != e23,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1163,c_0_1164])]) ).

cnf(c_0_1171,plain,
    ( op2(e22,e23) = e20
    | op2(e22,e20) = e20 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1165,c_0_979]),c_0_1001]),c_0_1166]) ).

cnf(c_0_1172,plain,
    ( op2(e20,op2(e20,e20)) != op2(e20,e20)
    | op2(e20,op2(e21,e20)) != op2(e21,e20)
    | op2(e21,op2(e22,e21)) != op2(e22,e21)
    | ~ epred2_0 ),
    i_0_427 ).

cnf(c_0_1173,plain,
    ( op2(e22,e21) = e22
    | op2(e22,e22) != e21 ),
    i_0_248 ).

cnf(c_0_1174,plain,
    op2(e20,e22) != op2(e20,e21),
    i_0_165 ).

cnf(c_0_1175,plain,
    ( op2(e20,e22) = e21
    | h3(e11) = e21 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1167,c_0_979]),c_0_987]),c_0_1092]),c_0_964]) ).

cnf(c_0_1176,plain,
    ( op2(e20,h1(e11)) != h1(e11)
    | op2(e20,e23) != e23
    | op2(e20,e21) != e21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1168,c_0_1096]),c_0_1169]) ).

cnf(c_0_1177,plain,
    h1(e11) = e20,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1062,c_0_1164])]) ).

cnf(c_0_1178,plain,
    op2(e20,e21) = e21,
    inference(sr,[status(thm)],[c_0_1139,c_0_1170]) ).

cnf(c_0_1179,plain,
    ( op2(e21,e23) = e23
    | op2(e20,e23) = e23
    | op2(e20,e23) = e20 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1054,c_0_1050]),c_0_963]) ).

cnf(c_0_1180,plain,
    ( op2(e22,e20) = e20
    | op2(e20,e23) != e20 ),
    inference(spm,[status(thm)],[c_0_1023,c_0_1171]) ).

cnf(c_0_1181,plain,
    ( op2(e21,op2(e22,e21)) != op2(e22,e21)
    | op2(e20,h1(e11)) != h1(e11)
    | op2(e20,e21) != e21
    | ~ epred2_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1172,c_0_989]),c_0_989]),c_0_988]),c_0_988]) ).

cnf(c_0_1182,plain,
    ( op2(e22,e21) = e22
    | h3(e11) != e21 ),
    inference(rw,[status(thm)],[c_0_1173,c_0_979]) ).

cnf(c_0_1183,plain,
    ( h3(e11) = e21
    | op2(e20,e21) != e21 ),
    inference(spm,[status(thm)],[c_0_1174,c_0_1175]) ).

cnf(c_0_1184,plain,
    op2(e20,e23) != e23,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1176,c_0_1177]),c_0_989]),c_0_1177]),c_0_1177])]),c_0_1178])]) ).

cnf(c_0_1185,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e23
    | op2(e21,e22) != e23 ),
    inference(spm,[status(thm)],[c_0_991,c_0_1179]) ).

cnf(c_0_1186,plain,
    op2(e20,e23) != e20,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1180,c_0_1164]),c_0_963]) ).

cnf(c_0_1187,plain,
    ( op2(e20,h1(e11)) != h1(e11)
    | op2(e21,e22) != e22
    | op2(e20,e21) != e21 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1181,c_0_1182]),c_0_1066]),c_0_1183]) ).

cnf(c_0_1188,plain,
    op2(e21,e22) != e23,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1184,c_0_1185]),c_0_1186]) ).

cnf(c_0_1189,plain,
    op2(e21,e22) != e22,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1187,c_0_1177]),c_0_989]),c_0_1177]),c_0_1177])]),c_0_1178])]) ).

cnf(c_0_1190,plain,
    op2(e21,e23) = e23,
    inference(sr,[status(thm)],[c_0_1047,c_0_1188]) ).

cnf(c_0_1191,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_1074,c_0_1189]),c_0_1190]),c_0_1004]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : ALG125+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun  9 06:01:49 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.20/0.44  # ENIGMATIC: Selected complete mode:
% 9.58/2.65  # ENIGMATIC: Solved by autoschedule:
% 9.58/2.65  # No SInE strategy applied
% 9.58/2.65  # Trying AutoSched0 for 150 seconds
% 9.58/2.65  # AutoSched0-Mode selected heuristic C07_19_nc_SAT001_MinMin_rr
% 9.58/2.65  # and selection function SelectMaxLComplexAvoidPosPred.
% 9.58/2.65  #
% 9.58/2.65  # Preprocessing time       : 0.071 s
% 9.58/2.65  # Presaturation interreduction done
% 9.58/2.65  
% 9.58/2.65  # Proof found!
% 9.58/2.65  # SZS status Theorem
% 9.58/2.65  # SZS output start CNFRefutation
% See solution above
% 9.58/2.65  # Training examples: 0 positive, 0 negative
% 9.58/2.65  
% 9.58/2.65  # -------------------------------------------------
% 9.58/2.65  # User time                : 0.283 s
% 9.58/2.65  # System time              : 0.011 s
% 9.58/2.65  # Total time               : 0.294 s
% 9.58/2.65  # Maximum resident set size: 7120 pages
% 9.58/2.65  
%------------------------------------------------------------------------------