TSTP Solution File: ALG107+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG107+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 14 14:57:49 EDT 2022

% Result   : Theorem 6.29s 2.71s
% Output   : CNFRefutation 6.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :  122
% Syntax   : Number of clauses     :  460 ( 205 unt; 237 nHn; 460 RR)
%            Number of literals    : 1064 (1008 equ; 299 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    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_230,plain,
    op1(e12,op1(e12,e12)) = e11,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_230) ).

cnf(i_0_231,plain,
    op1(e12,e12) = e10,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_231) ).

cnf(i_0_229,plain,
    op1(op1(e12,op1(e12,e12)),op1(e12,e12)) = e13,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_229) ).

cnf(i_0_43,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12
    | op1(e13,e10) = e12 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_43) ).

cnf(i_0_195,plain,
    e11 != e12,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_195) ).

cnf(i_0_193,plain,
    e13 != e12,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_193) ).

cnf(i_0_131,plain,
    op1(e10,e12) != op1(e12,e12),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_131) ).

cnf(i_0_47,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e10) = e10
    | op1(e12,e10) = e10
    | op1(e13,e10) = e10 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_47) ).

cnf(i_0_198,plain,
    e11 != e10,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_198) ).

cnf(i_0_196,plain,
    e13 != e10,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_196) ).

cnf(i_0_224,plain,
    ( op1(e10,op1(e13,e10)) = e10
    | epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_224) ).

cnf(i_0_280,plain,
    ( op1(e10,op1(e11,e10)) = e10
    | op1(e12,op1(e12,e12)) = e12
    | op1(e13,op1(e10,e13)) = e13
    | ~ epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_280) ).

cnf(i_0_197,plain,
    e10 != e12,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_197) ).

cnf(i_0_143,plain,
    op1(e10,e10) != op1(e12,e10),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_143) ).

cnf(i_0_144,plain,
    op1(e11,e10) != op1(e10,e10),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_144) ).

cnf(i_0_233,plain,
    op2(e22,op2(e22,e22)) = e21,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_233) ).

cnf(i_0_234,plain,
    op2(e22,e22) = e20,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_234) ).

cnf(i_0_46,plain,
    ( op1(e10,e10) = e11
    | op1(e10,e11) = e11
    | op1(e10,e12) = e11
    | op1(e10,e13) = e11 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_46) ).

cnf(i_0_42,plain,
    ( op1(e10,e10) = e13
    | op1(e10,e11) = e13
    | op1(e10,e12) = e13
    | op1(e10,e13) = e13 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_42) ).

cnf(i_0_25,plain,
    ( op1(e10,e12) = e13
    | op1(e11,e12) = e13
    | op1(e12,e12) = e13
    | op1(e13,e12) = e13 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_25) ).

cnf(i_0_113,plain,
    op1(e11,e10) != op1(e11,e12),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_113) ).

cnf(i_0_232,plain,
    op2(op2(e22,op2(e22,e22)),op2(e22,e22)) = e23,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_232) ).

cnf(i_0_127,plain,
    op1(e13,e12) != op1(e12,e12),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_127) ).

cnf(i_0_91,plain,
    ( op2(e20,e20) = e22
    | op2(e21,e20) = e22
    | op2(e22,e20) = e22
    | op2(e23,e20) = e22 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_91) ).

cnf(i_0_201,plain,
    e22 != e21,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_201) ).

cnf(i_0_199,plain,
    e23 != e22,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_199) ).

cnf(i_0_179,plain,
    op2(e22,e22) != op2(e20,e22),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_179) ).

cnf(i_0_95,plain,
    ( op2(e20,e20) = e20
    | op2(e21,e20) = e20
    | op2(e22,e20) = e20
    | op2(e23,e20) = e20 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_95) ).

cnf(i_0_204,plain,
    e21 != e20,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_204) ).

cnf(i_0_202,plain,
    e23 != e20,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_202) ).

cnf(i_0_2,plain,
    ( op1(e13,e12) = e10
    | op1(e13,e12) = e11
    | op1(e13,e12) = e12
    | op1(e13,e12) = e13 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_2) ).

cnf(i_0_136,plain,
    op1(e13,e11) != op1(e10,e11),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_136) ).

cnf(i_0_97,plain,
    op1(e13,e13) != op1(e13,e12),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_97) ).

cnf(i_0_129,plain,
    op1(e11,e12) != op1(e12,e12),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_129) ).

cnf(i_0_228,plain,
    ( op2(e20,op2(e23,e20)) = e20
    | epred2_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_228) ).

cnf(i_0_130,plain,
    op1(e13,e12) != op1(e10,e12),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_130) ).

cnf(i_0_194,plain,
    e13 != e11,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_194) ).

cnf(i_0_10,plain,
    ( op1(e11,e12) = e10
    | op1(e11,e12) = e11
    | op1(e11,e12) = e12
    | op1(e11,e12) = e13 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_10) ).

cnf(i_0_344,plain,
    ( op2(e20,op2(e21,e20)) = e20
    | op2(e22,op2(e22,e22)) = e22
    | op2(e23,op2(e20,e23)) = e23
    | ~ epred2_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_344) ).

cnf(i_0_203,plain,
    e22 != e20,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_203) ).

cnf(i_0_192,plain,
    op2(e21,e20) != op2(e20,e20),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_192) ).

cnf(i_0_90,plain,
    ( op2(e20,e20) = e23
    | op2(e20,e21) = e23
    | op2(e20,e22) = e23
    | op2(e20,e23) = e23 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_90) ).

cnf(i_0_154,plain,
    op2(e22,e23) != op2(e22,e20),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_154) ).

cnf(i_0_160,plain,
    op2(e21,e23) != op2(e21,e20),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_160) ).

cnf(i_0_128,plain,
    op1(e13,e12) != op1(e11,e12),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_128) ).

cnf(i_0_132,plain,
    op1(e11,e12) != op1(e10,e12),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_132) ).

cnf(i_0_376,plain,
    ( op2(e20,op2(e21,e20)) = e20
    | op2(e21,op2(e20,e21)) = e21
    | op2(e22,op2(e22,e22)) = e22
    | ~ epred2_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_376) ).

cnf(i_0_69,plain,
    ( op2(e20,e23) = e21
    | op2(e21,e23) = e21
    | op2(e22,e23) = e21
    | op2(e23,e23) = e21 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_69) ).

cnf(i_0_65,plain,
    ( op2(e20,e23) = e23
    | op2(e21,e23) = e23
    | op2(e22,e23) = e23
    | op2(e23,e23) = e23 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_65) ).

cnf(i_0_101,plain,
    op1(e13,e10) != op1(e13,e12),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_101) ).

cnf(i_0_172,plain,
    op2(e23,e23) != op2(e20,e23),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_172) ).

cnf(i_0_151,plain,
    op2(e22,e23) != op2(e22,e22),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_151) ).

cnf(i_0_200,plain,
    e23 != e21,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_200) ).

cnf(i_0_105,plain,
    op1(e12,e11) != op1(e12,e12),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_105) ).

cnf(i_0_348,plain,
    ( op2(e22,op2(e20,e22)) = e22
    | op2(e22,op2(e22,e22)) = e22
    | op2(e23,op2(e21,e23)) = e23
    | ~ epred2_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_348) ).

cnf(i_0_177,plain,
    op2(e22,e22) != op2(e21,e22),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_177) ).

cnf(i_0_191,plain,
    op2(e22,e20) != op2(e20,e20),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_191) ).

cnf(i_0_71,plain,
    ( op2(e20,e23) = e20
    | op2(e21,e23) = e20
    | op2(e22,e23) = e20
    | op2(e23,e23) = e20 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_71) ).

cnf(i_0_7,plain,
    ( op1(e12,e11) = e10
    | op1(e12,e11) = e11
    | op1(e12,e11) = e12
    | op1(e12,e11) = e13 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_7) ).

cnf(i_0_108,plain,
    op1(e12,e11) != op1(e12,e10),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_108) ).

cnf(i_0_276,plain,
    ( op1(e11,op1(e11,e11)) = e11
    | op1(e12,op1(e12,e12)) = e12
    | op1(e13,op1(e10,e13)) = e13
    | ~ epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_276) ).

cnf(i_0_40,plain,
    ( op1(e11,e10) = e10
    | op1(e11,e11) = e10
    | op1(e11,e12) = e10
    | op1(e11,e13) = e10 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_40) ).

cnf(i_0_88,plain,
    ( op2(e21,e20) = e20
    | op2(e21,e21) = e20
    | op2(e21,e22) = e20
    | op2(e21,e23) = e20 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_88) ).

cnf(i_0_188,plain,
    op2(e23,e20) != op2(e21,e20),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_188) ).

cnf(i_0_174,plain,
    op2(e21,e23) != op2(e20,e23),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_174) ).

cnf(i_0_94,plain,
    ( op2(e20,e20) = e21
    | op2(e20,e21) = e21
    | op2(e20,e22) = e21
    | op2(e20,e23) = e21 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_94) ).

cnf(i_0_133,plain,
    op1(e13,e11) != op1(e12,e11),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_133) ).

cnf(i_0_125,plain,
    op1(e10,e13) != op1(e12,e13),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_125) ).

cnf(i_0_44,plain,
    ( op1(e10,e10) = e12
    | op1(e10,e11) = e12
    | op1(e10,e12) = e12
    | op1(e10,e13) = e12 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_44) ).

cnf(i_0_28,plain,
    ( op1(e12,e10) = e12
    | op1(e12,e11) = e12
    | op1(e12,e12) = e12
    | op1(e12,e13) = e12 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_28) ).

cnf(i_0_48,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e11) = e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_48) ).

cnf(i_0_140,plain,
    op1(e13,e10) != op1(e11,e10),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_140) ).

cnf(i_0_126,plain,
    op1(e11,e13) != op1(e10,e13),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_126) ).

cnf(i_0_356,plain,
    ( op2(e21,op2(e21,e21)) = e21
    | op2(e22,op2(e20,e22)) = e22
    | op2(e22,op2(e22,e22)) = e22
    | ~ epred2_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_356) ).

cnf(i_0_332,plain,
    ( op2(e22,op2(e22,e22)) = e22
    | op2(e23,op2(e20,e23)) = e23
    | op2(e23,op2(e21,e23)) = e23
    | ~ epred2_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_332) ).

cnf(i_0_146,plain,
    op2(e23,e23) != op2(e23,e21),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_146) ).

cnf(i_0_328,plain,
    ( op1(e10,op1(e10,e10)) = e10
    | op1(e10,op1(e11,e10)) = e10
    | op1(e12,op1(e12,e12)) = e12
    | ~ epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_328) ).

cnf(i_0_312,plain,
    ( op1(e10,op1(e11,e10)) = e10
    | op1(e11,op1(e10,e11)) = e11
    | op1(e12,op1(e12,e12)) = e12
    | ~ epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_312) ).

cnf(i_0_300,plain,
    ( op1(e11,op1(e10,e11)) = e11
    | op1(e12,op1(e12,e12)) = e12
    | op1(e13,op1(e11,e13)) = e13
    | ~ epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_300) ).

cnf(i_0_73,plain,
    ( op2(e20,e22) = e23
    | op2(e21,e22) = e23
    | op2(e22,e22) = e23
    | op2(e23,e22) = e23 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_73) ).

cnf(i_0_161,plain,
    op2(e21,e22) != op2(e21,e20),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_161) ).

cnf(i_0_184,plain,
    op2(e23,e21) != op2(e20,e21),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_184) ).

cnf(i_0_75,plain,
    ( op2(e20,e22) = e22
    | op2(e21,e22) = e22
    | op2(e22,e22) = e22
    | op2(e23,e22) = e22 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_75) ).

cnf(i_0_296,plain,
    ( op1(e10,op1(e11,e10)) = e10
    | op1(e12,op1(e10,e12)) = e12
    | op1(e12,op1(e12,e12)) = e12
    | ~ epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_296) ).

cnf(i_0_74,plain,
    ( op2(e22,e20) = e23
    | op2(e22,e21) = e23
    | op2(e22,e22) = e23
    | op2(e22,e23) = e23 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_74) ).

cnf(i_0_137,plain,
    op1(e10,e11) != op1(e12,e11),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_137) ).

cnf(i_0_118,plain,
    op1(e10,e13) != op1(e10,e10),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_118) ).

cnf(i_0_116,plain,
    op1(e10,e13) != op1(e10,e11),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_116) ).

cnf(i_0_308,plain,
    ( op1(e11,op1(e10,e11)) = e11
    | op1(e11,op1(e11,e11)) = e11
    | op1(e12,op1(e12,e12)) = e12
    | ~ epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_308) ).

cnf(i_0_57,plain,
    ( op2(e21,e23) = e20
    | op2(e21,e23) = e21
    | op2(e21,e23) = e22
    | op2(e21,e23) = e23 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_57) ).

cnf(i_0_181,plain,
    op2(e23,e21) != op2(e22,e21),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_181) ).

cnf(i_0_16,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e10) = e11
    | op1(e10,e10) = e12
    | op1(e10,e10) = e13 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_16) ).

cnf(i_0_158,plain,
    op2(e21,e23) != op2(e21,e21),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_158) ).

cnf(i_0_139,plain,
    op1(e13,e10) != op1(e12,e10),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_139) ).

cnf(i_0_145,plain,
    op2(e23,e23) != op2(e23,e22),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_145) ).

cnf(i_0_49,plain,
    ( op2(e23,e23) = e20
    | op2(e23,e23) = e21
    | op2(e23,e23) = e22
    | op2(e23,e23) = e23 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_49) ).

cnf(i_0_157,plain,
    op2(e21,e23) != op2(e21,e22),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_157) ).

cnf(i_0_104,plain,
    op1(e12,e13) != op1(e12,e11),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_104) ).

cnf(i_0_22,plain,
    ( op1(e13,e10) = e11
    | op1(e13,e11) = e11
    | op1(e13,e12) = e11
    | op1(e13,e13) = e11 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_22) ).

cnf(i_0_4,plain,
    ( op1(e13,e10) = e10
    | op1(e13,e10) = e11
    | op1(e13,e10) = e12
    | op1(e13,e10) = e13 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_4) ).

cnf(i_0_187,plain,
    op2(e23,e20) != op2(e22,e20),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_187) ).

cnf(i_0_244,plain,
    op2(e22,op2(e22,e22)) = h3(e11),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_244) ).

cnf(i_0_243,plain,
    op2(op2(e22,op2(e22,e22)),op2(e22,e22)) = h3(e13),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_243) ).

cnf(i_0_122,plain,
    op1(e13,e13) != op1(e11,e13),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_122) ).

cnf(i_0_103,plain,
    op1(e12,e13) != op1(e12,e12),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_103) ).

cnf(i_0_52,plain,
    ( op2(e23,e20) = e20
    | op2(e23,e20) = e21
    | op2(e23,e20) = e22
    | op2(e23,e20) = e23 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_52) ).

cnf(i_0_148,plain,
    op2(e23,e23) != op2(e23,e20),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_148) ).

cnf(i_0_170,plain,
    op2(e23,e23) != op2(e21,e23),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_170) ).

cnf(i_0_340,plain,
    ( op2(e21,op2(e21,e21)) = e21
    | op2(e22,op2(e22,e22)) = e22
    | op2(e23,op2(e20,e23)) = e23
    | ~ epred2_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_340) ).

cnf(i_0_580,plain,
    ( epred5_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/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_580) ).

cnf(i_0_246,plain,
    h3(e12) = e22,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_246) ).

cnf(i_0_245,plain,
    op2(e22,e22) = h3(e10),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_245) ).

cnf(i_0_255,negated_conjecture,
    ( h3(e13) != e23
    | ~ epred5_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_255) ).

cnf(i_0_26,plain,
    ( op1(e12,e10) = e13
    | op1(e12,e11) = e13
    | op1(e12,e12) = e13
    | op1(e12,e13) = e13 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_26) ).

cnf(i_0_13,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_13) ).

cnf(i_0_142,plain,
    op1(e13,e10) != op1(e10,e10),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_142) ).

cnf(i_0_23,plain,
    ( op1(e10,e13) = e10
    | op1(e11,e13) = e10
    | op1(e12,e13) = e10
    | op1(e13,e13) = e10 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_23) ).

cnf(i_0_173,plain,
    op2(e22,e23) != op2(e20,e23),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_173) ).

cnf(i_0_190,plain,
    op2(e23,e20) != op2(e20,e20),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_190) ).

cnf(i_0_76,plain,
    ( op2(e22,e20) = e22
    | op2(e22,e21) = e22
    | op2(e22,e22) = e22
    | op2(e22,e23) = e22 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_76) ).

cnf(i_0_61,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_61) ).

cnf(i_0_70,plain,
    ( op2(e23,e20) = e21
    | op2(e23,e21) = e21
    | op2(e23,e22) = e21
    | op2(e23,e23) = e21 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pvpfa1gw/lgb.p',i_0_70) ).

cnf(c_0_703,plain,
    op1(e12,op1(e12,e12)) = e11,
    i_0_230 ).

cnf(c_0_704,plain,
    op1(e12,e12) = e10,
    i_0_231 ).

cnf(c_0_705,plain,
    op1(op1(e12,op1(e12,e12)),op1(e12,e12)) = e13,
    i_0_229 ).

cnf(c_0_706,plain,
    op1(e12,e10) = e11,
    inference(rw,[status(thm)],[c_0_703,c_0_704]) ).

cnf(c_0_707,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12
    | op1(e13,e10) = e12 ),
    i_0_43 ).

cnf(c_0_708,plain,
    op1(e11,e10) = e13,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_705,c_0_704]),c_0_706]),c_0_704]) ).

cnf(c_0_709,plain,
    e11 != e12,
    i_0_195 ).

cnf(c_0_710,plain,
    e13 != e12,
    i_0_193 ).

cnf(c_0_711,plain,
    op1(e10,e12) != op1(e12,e12),
    i_0_131 ).

cnf(c_0_712,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e10) = e10
    | op1(e12,e10) = e10
    | op1(e13,e10) = e10 ),
    i_0_47 ).

cnf(c_0_713,plain,
    e11 != e10,
    i_0_198 ).

cnf(c_0_714,plain,
    e13 != e10,
    i_0_196 ).

cnf(c_0_715,plain,
    ( op1(e10,op1(e13,e10)) = e10
    | epred1_0 ),
    i_0_224 ).

cnf(c_0_716,plain,
    ( op1(e13,e10) = e12
    | op1(e10,e10) = e12 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_707,c_0_706]),c_0_708]),c_0_709]),c_0_710]) ).

cnf(c_0_717,plain,
    op1(e10,e12) != e10,
    inference(rw,[status(thm)],[c_0_711,c_0_704]) ).

cnf(c_0_718,plain,
    ( op1(e13,e10) = e10
    | op1(e10,e10) = e10 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_712,c_0_706]),c_0_708]),c_0_713]),c_0_714]) ).

cnf(c_0_719,plain,
    ( op1(e10,op1(e11,e10)) = e10
    | op1(e12,op1(e12,e12)) = e12
    | op1(e13,op1(e10,e13)) = e13
    | ~ epred1_0 ),
    i_0_280 ).

cnf(c_0_720,plain,
    ( op1(e10,e10) = e12
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_715,c_0_716]),c_0_717]) ).

cnf(c_0_721,plain,
    ( op1(e10,e10) = e10
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_715,c_0_718]) ).

cnf(c_0_722,plain,
    e10 != e12,
    i_0_197 ).

cnf(c_0_723,plain,
    op1(e10,e10) != op1(e12,e10),
    i_0_143 ).

cnf(c_0_724,plain,
    op1(e11,e10) != op1(e10,e10),
    i_0_144 ).

cnf(c_0_725,plain,
    op2(e22,op2(e22,e22)) = e21,
    i_0_233 ).

cnf(c_0_726,plain,
    op2(e22,e22) = e20,
    i_0_234 ).

cnf(c_0_727,plain,
    ( op1(e13,op1(e10,e13)) = e13
    | op1(e10,e13) = e10
    | ~ epred1_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_719,c_0_704]),c_0_706]),c_0_708]),c_0_709]) ).

cnf(c_0_728,plain,
    epred1_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_720,c_0_721]),c_0_722]) ).

cnf(c_0_729,plain,
    ( op1(e10,e10) = e11
    | op1(e10,e11) = e11
    | op1(e10,e12) = e11
    | op1(e10,e13) = e11 ),
    i_0_46 ).

cnf(c_0_730,plain,
    op1(e10,e10) != e11,
    inference(rw,[status(thm)],[c_0_723,c_0_706]) ).

cnf(c_0_731,plain,
    ( op1(e10,e10) = e13
    | op1(e10,e11) = e13
    | op1(e10,e12) = e13
    | op1(e10,e13) = e13 ),
    i_0_42 ).

cnf(c_0_732,plain,
    op1(e10,e10) != e13,
    inference(rw,[status(thm)],[c_0_724,c_0_708]) ).

cnf(c_0_733,plain,
    ( op1(e10,e12) = e13
    | op1(e11,e12) = e13
    | op1(e12,e12) = e13
    | op1(e13,e12) = e13 ),
    i_0_25 ).

cnf(c_0_734,plain,
    op1(e11,e10) != op1(e11,e12),
    i_0_113 ).

cnf(c_0_735,plain,
    op2(op2(e22,op2(e22,e22)),op2(e22,e22)) = e23,
    i_0_232 ).

cnf(c_0_736,plain,
    op2(e22,e20) = e21,
    inference(rw,[status(thm)],[c_0_725,c_0_726]) ).

cnf(c_0_737,plain,
    op1(e13,e12) != op1(e12,e12),
    i_0_127 ).

cnf(c_0_738,plain,
    ( op1(e13,op1(e10,e13)) = e13
    | op1(e10,e13) = e10 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_727,c_0_728])]) ).

cnf(c_0_739,plain,
    ( op1(e10,e13) = e11
    | op1(e10,e11) = e11
    | op1(e10,e12) = e11 ),
    inference(sr,[status(thm)],[c_0_729,c_0_730]) ).

cnf(c_0_740,plain,
    ( op1(e10,e12) = e13
    | op1(e10,e11) = e13
    | op1(e10,e13) = e13 ),
    inference(sr,[status(thm)],[c_0_731,c_0_732]) ).

cnf(c_0_741,plain,
    ( op1(e13,e12) = e13
    | op1(e10,e12) = e13
    | op1(e11,e12) = e13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_733,c_0_704]),c_0_714]) ).

cnf(c_0_742,plain,
    op1(e11,e12) != e13,
    inference(rw,[status(thm)],[c_0_734,c_0_708]) ).

cnf(c_0_743,plain,
    ( op2(e20,e20) = e22
    | op2(e21,e20) = e22
    | op2(e22,e20) = e22
    | op2(e23,e20) = e22 ),
    i_0_91 ).

cnf(c_0_744,plain,
    op2(e21,e20) = e23,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_735,c_0_726]),c_0_736]),c_0_726]) ).

cnf(c_0_745,plain,
    e22 != e21,
    i_0_201 ).

cnf(c_0_746,plain,
    e23 != e22,
    i_0_199 ).

cnf(c_0_747,plain,
    op2(e22,e22) != op2(e20,e22),
    i_0_179 ).

cnf(c_0_748,plain,
    ( op2(e20,e20) = e20
    | op2(e21,e20) = e20
    | op2(e22,e20) = e20
    | op2(e23,e20) = e20 ),
    i_0_95 ).

cnf(c_0_749,plain,
    e21 != e20,
    i_0_204 ).

cnf(c_0_750,plain,
    e23 != e20,
    i_0_202 ).

cnf(c_0_751,plain,
    ( op1(e13,e12) = e10
    | op1(e13,e12) = e11
    | op1(e13,e12) = e12
    | op1(e13,e12) = e13 ),
    i_0_2 ).

cnf(c_0_752,plain,
    op1(e13,e12) != e10,
    inference(rw,[status(thm)],[c_0_737,c_0_704]) ).

cnf(c_0_753,plain,
    op1(e13,e11) != op1(e10,e11),
    i_0_136 ).

cnf(c_0_754,plain,
    ( op1(e10,e11) = e11
    | op1(e10,e12) = e11
    | op1(e13,e11) = e13 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_738,c_0_739]),c_0_713]) ).

cnf(c_0_755,plain,
    op1(e13,e13) != op1(e13,e12),
    i_0_97 ).

cnf(c_0_756,plain,
    ( op1(e10,e12) = e13
    | op1(e10,e11) = e13
    | op1(e13,e13) = e13 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_738,c_0_740]),c_0_714]) ).

cnf(c_0_757,plain,
    ( op1(e10,e12) = e13
    | op1(e13,e12) = e13 ),
    inference(sr,[status(thm)],[c_0_741,c_0_742]) ).

cnf(c_0_758,plain,
    op1(e11,e12) != op1(e12,e12),
    i_0_129 ).

cnf(c_0_759,plain,
    ( op2(e20,op2(e23,e20)) = e20
    | epred2_0 ),
    i_0_228 ).

cnf(c_0_760,plain,
    ( op2(e23,e20) = e22
    | op2(e20,e20) = e22 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_743,c_0_736]),c_0_744]),c_0_745]),c_0_746]) ).

cnf(c_0_761,plain,
    op2(e20,e22) != e20,
    inference(rw,[status(thm)],[c_0_747,c_0_726]) ).

cnf(c_0_762,plain,
    ( op2(e23,e20) = e20
    | op2(e20,e20) = e20 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_748,c_0_736]),c_0_744]),c_0_749]),c_0_750]) ).

cnf(c_0_763,plain,
    op1(e13,e12) != op1(e10,e12),
    i_0_130 ).

cnf(c_0_764,plain,
    ( op1(e13,e12) = e13
    | op1(e13,e12) = e11
    | op1(e13,e12) = e12 ),
    inference(sr,[status(thm)],[c_0_751,c_0_752]) ).

cnf(c_0_765,plain,
    ( op1(e10,e12) = e11
    | op1(e10,e11) = e11
    | op1(e10,e11) != e13 ),
    inference(spm,[status(thm)],[c_0_753,c_0_754]) ).

cnf(c_0_766,plain,
    ( op1(e10,e11) = e13
    | op1(e10,e12) = e13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_755,c_0_756]),c_0_757]) ).

cnf(c_0_767,plain,
    e13 != e11,
    i_0_194 ).

cnf(c_0_768,plain,
    ( op1(e11,e12) = e10
    | op1(e11,e12) = e11
    | op1(e11,e12) = e12
    | op1(e11,e12) = e13 ),
    i_0_10 ).

cnf(c_0_769,plain,
    op1(e11,e12) != e10,
    inference(rw,[status(thm)],[c_0_758,c_0_704]) ).

cnf(c_0_770,plain,
    ( op2(e20,op2(e21,e20)) = e20
    | op2(e22,op2(e22,e22)) = e22
    | op2(e23,op2(e20,e23)) = e23
    | ~ epred2_0 ),
    i_0_344 ).

cnf(c_0_771,plain,
    ( op2(e20,e20) = e22
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_759,c_0_760]),c_0_761]) ).

cnf(c_0_772,plain,
    ( op2(e20,e20) = e20
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_759,c_0_762]) ).

cnf(c_0_773,plain,
    e22 != e20,
    i_0_203 ).

cnf(c_0_774,plain,
    op2(e21,e20) != op2(e20,e20),
    i_0_192 ).

cnf(c_0_775,plain,
    ( op1(e13,e12) = e11
    | op1(e13,e12) = e12
    | op1(e10,e12) != e13 ),
    inference(spm,[status(thm)],[c_0_763,c_0_764]) ).

cnf(c_0_776,plain,
    ( op1(e10,e12) = e13
    | op1(e10,e12) = e11 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_765,c_0_766]),c_0_767]) ).

cnf(c_0_777,plain,
    ( op1(e11,e12) = e13
    | op1(e11,e12) = e11
    | op1(e11,e12) = e12 ),
    inference(sr,[status(thm)],[c_0_768,c_0_769]) ).

cnf(c_0_778,plain,
    ( op2(e23,op2(e20,e23)) = e23
    | op2(e20,e23) = e20
    | ~ epred2_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_770,c_0_726]),c_0_736]),c_0_744]),c_0_745]) ).

cnf(c_0_779,plain,
    epred2_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_771,c_0_772]),c_0_773]) ).

cnf(c_0_780,plain,
    ( op2(e20,e20) = e23
    | op2(e20,e21) = e23
    | op2(e20,e22) = e23
    | op2(e20,e23) = e23 ),
    i_0_90 ).

cnf(c_0_781,plain,
    op2(e20,e20) != e23,
    inference(rw,[status(thm)],[c_0_774,c_0_744]) ).

cnf(c_0_782,plain,
    op2(e22,e23) != op2(e22,e20),
    i_0_154 ).

cnf(c_0_783,plain,
    op2(e21,e23) != op2(e21,e20),
    i_0_160 ).

cnf(c_0_784,plain,
    op1(e13,e12) != op1(e11,e12),
    i_0_128 ).

cnf(c_0_785,plain,
    ( op1(e10,e12) = e11
    | op1(e13,e12) = e12
    | op1(e13,e12) = e11 ),
    inference(spm,[status(thm)],[c_0_775,c_0_776]) ).

cnf(c_0_786,plain,
    op1(e11,e12) != op1(e10,e12),
    i_0_132 ).

cnf(c_0_787,plain,
    ( op1(e11,e12) = e12
    | op1(e11,e12) = e11 ),
    inference(sr,[status(thm)],[c_0_777,c_0_742]) ).

cnf(c_0_788,plain,
    ( op2(e20,op2(e21,e20)) = e20
    | op2(e21,op2(e20,e21)) = e21
    | op2(e22,op2(e22,e22)) = e22
    | ~ epred2_0 ),
    i_0_376 ).

cnf(c_0_789,plain,
    ( op2(e23,op2(e20,e23)) = e23
    | op2(e20,e23) = e20 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_778,c_0_779])]) ).

cnf(c_0_790,plain,
    ( op2(e20,e22) = e23
    | op2(e20,e21) = e23
    | op2(e20,e23) = e23 ),
    inference(sr,[status(thm)],[c_0_780,c_0_781]) ).

cnf(c_0_791,plain,
    ( op2(e20,e23) = e21
    | op2(e21,e23) = e21
    | op2(e22,e23) = e21
    | op2(e23,e23) = e21 ),
    i_0_69 ).

cnf(c_0_792,plain,
    op2(e22,e23) != e21,
    inference(rw,[status(thm)],[c_0_782,c_0_736]) ).

cnf(c_0_793,plain,
    ( op2(e20,e23) = e23
    | op2(e21,e23) = e23
    | op2(e22,e23) = e23
    | op2(e23,e23) = e23 ),
    i_0_65 ).

cnf(c_0_794,plain,
    op2(e21,e23) != e23,
    inference(rw,[status(thm)],[c_0_783,c_0_744]) ).

cnf(c_0_795,plain,
    op1(e13,e10) != op1(e13,e12),
    i_0_101 ).

cnf(c_0_796,plain,
    ( op1(e13,e12) = e12
    | op1(e10,e12) = e11
    | op1(e11,e12) != e11 ),
    inference(spm,[status(thm)],[c_0_784,c_0_785]) ).

cnf(c_0_797,plain,
    ( op1(e11,e12) = e12
    | op1(e10,e12) != e11 ),
    inference(spm,[status(thm)],[c_0_786,c_0_787]) ).

cnf(c_0_798,plain,
    ( op2(e21,op2(e20,e21)) = e21
    | op2(e20,e23) = e20
    | ~ epred2_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_788,c_0_726]),c_0_736]),c_0_744]),c_0_745]) ).

cnf(c_0_799,plain,
    op2(e23,e23) != op2(e20,e23),
    i_0_172 ).

cnf(c_0_800,plain,
    ( op2(e20,e22) = e23
    | op2(e20,e21) = e23
    | op2(e23,e23) = e23 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_789,c_0_790]),c_0_750]) ).

cnf(c_0_801,plain,
    op2(e22,e23) != op2(e22,e22),
    i_0_151 ).

cnf(c_0_802,plain,
    ( op2(e23,e23) = e21
    | op2(e20,e23) = e21
    | op2(e21,e23) = e21 ),
    inference(sr,[status(thm)],[c_0_791,c_0_792]) ).

cnf(c_0_803,plain,
    ( op2(e22,e23) = e23
    | op2(e20,e23) = e23
    | op2(e23,e23) = e23 ),
    inference(sr,[status(thm)],[c_0_793,c_0_794]) ).

cnf(c_0_804,plain,
    e23 != e21,
    i_0_200 ).

cnf(c_0_805,plain,
    op1(e12,e11) != op1(e12,e12),
    i_0_105 ).

cnf(c_0_806,plain,
    ( op1(e10,e10) = e12
    | op1(e13,e12) != e12 ),
    inference(spm,[status(thm)],[c_0_795,c_0_716]) ).

cnf(c_0_807,plain,
    ( op1(e11,e12) = e12
    | op1(e13,e12) = e12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_796,c_0_787]),c_0_797]) ).

cnf(c_0_808,plain,
    ( op2(e22,op2(e20,e22)) = e22
    | op2(e22,op2(e22,e22)) = e22
    | op2(e23,op2(e21,e23)) = e23
    | ~ epred2_0 ),
    i_0_348 ).

cnf(c_0_809,plain,
    op2(e22,e22) != op2(e21,e22),
    i_0_177 ).

cnf(c_0_810,plain,
    ( op2(e21,op2(e20,e21)) = e21
    | op2(e20,e23) = e20 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_798,c_0_779])]) ).

cnf(c_0_811,plain,
    ( op2(e20,e21) = e23
    | op2(e20,e22) = e23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_799,c_0_800]),c_0_790]) ).

cnf(c_0_812,plain,
    op2(e22,e20) != op2(e20,e20),
    i_0_191 ).

cnf(c_0_813,plain,
    ( op2(e20,e23) = e20
    | op2(e21,e23) = e20
    | op2(e22,e23) = e20
    | op2(e23,e23) = e20 ),
    i_0_71 ).

cnf(c_0_814,plain,
    op2(e22,e23) != e20,
    inference(rw,[status(thm)],[c_0_801,c_0_726]) ).

cnf(c_0_815,plain,
    ( op2(e22,e23) = e23
    | op2(e20,e23) = e23
    | op2(e20,e23) = e21
    | op2(e21,e23) = e21 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_802,c_0_803]),c_0_804]) ).

cnf(c_0_816,plain,
    ( op1(e12,e11) = e10
    | op1(e12,e11) = e11
    | op1(e12,e11) = e12
    | op1(e12,e11) = e13 ),
    i_0_7 ).

cnf(c_0_817,plain,
    op1(e12,e11) != e10,
    inference(rw,[status(thm)],[c_0_805,c_0_704]) ).

cnf(c_0_818,plain,
    op1(e12,e11) != op1(e12,e10),
    i_0_108 ).

cnf(c_0_819,plain,
    ( op1(e11,e12) = e12
    | op1(e10,e10) = e12 ),
    inference(spm,[status(thm)],[c_0_806,c_0_807]) ).

cnf(c_0_820,plain,
    ( op1(e11,op1(e11,e11)) = e11
    | op1(e12,op1(e12,e12)) = e12
    | op1(e13,op1(e10,e13)) = e13
    | ~ epred1_0 ),
    i_0_276 ).

cnf(c_0_821,plain,
    ( op1(e11,e10) = e10
    | op1(e11,e11) = e10
    | op1(e11,e12) = e10
    | op1(e11,e13) = e10 ),
    i_0_40 ).

cnf(c_0_822,plain,
    ( op2(e23,op2(e21,e23)) = e23
    | op2(e22,op2(e20,e22)) = e22
    | ~ epred2_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_808,c_0_726]),c_0_736]),c_0_745]) ).

cnf(c_0_823,plain,
    ( op2(e21,e20) = e20
    | op2(e21,e21) = e20
    | op2(e21,e22) = e20
    | op2(e21,e23) = e20 ),
    i_0_88 ).

cnf(c_0_824,plain,
    op2(e21,e22) != e20,
    inference(rw,[status(thm)],[c_0_809,c_0_726]) ).

cnf(c_0_825,plain,
    op2(e23,e20) != op2(e21,e20),
    i_0_188 ).

cnf(c_0_826,plain,
    op2(e21,e23) != op2(e20,e23),
    i_0_174 ).

cnf(c_0_827,plain,
    ( op2(e20,e22) = e23
    | op2(e20,e23) = e20
    | op2(e21,e23) = e21 ),
    inference(spm,[status(thm)],[c_0_810,c_0_811]) ).

cnf(c_0_828,plain,
    ( op2(e20,e20) = e21
    | op2(e20,e21) = e21
    | op2(e20,e22) = e21
    | op2(e20,e23) = e21 ),
    i_0_94 ).

cnf(c_0_829,plain,
    op2(e20,e20) != e21,
    inference(rw,[status(thm)],[c_0_812,c_0_736]) ).

cnf(c_0_830,plain,
    ( op2(e23,e23) = e20
    | op2(e20,e23) = e20
    | op2(e21,e23) = e20 ),
    inference(sr,[status(thm)],[c_0_813,c_0_814]) ).

cnf(c_0_831,plain,
    ( op2(e21,e23) = e21
    | op2(e20,e23) = e21
    | op2(e22,e23) = e23
    | op2(e23,e23) = e23 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_789,c_0_815]),c_0_750]) ).

cnf(c_0_832,plain,
    op1(e13,e11) != op1(e12,e11),
    i_0_133 ).

cnf(c_0_833,plain,
    ( op1(e12,e11) = e13
    | op1(e12,e11) = e11
    | op1(e12,e11) = e12 ),
    inference(sr,[status(thm)],[c_0_816,c_0_817]) ).

cnf(c_0_834,plain,
    op1(e12,e11) != e11,
    inference(rw,[status(thm)],[c_0_818,c_0_706]) ).

cnf(c_0_835,plain,
    op1(e10,e13) != op1(e12,e13),
    i_0_125 ).

cnf(c_0_836,plain,
    ( op1(e10,e10) = e12
    | op1(e10,e11) = e12
    | op1(e10,e12) = e12
    | op1(e10,e13) = e12 ),
    i_0_44 ).

cnf(c_0_837,plain,
    ( op1(e10,e10) = e12
    | op1(e10,e12) != e12 ),
    inference(spm,[status(thm)],[c_0_786,c_0_819]) ).

cnf(c_0_838,plain,
    ( op1(e12,e10) = e12
    | op1(e12,e11) = e12
    | op1(e12,e12) = e12
    | op1(e12,e13) = e12 ),
    i_0_28 ).

cnf(c_0_839,plain,
    ( op1(e13,op1(e10,e13)) = e13
    | op1(e11,op1(e11,e11)) = e11
    | ~ epred1_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_820,c_0_704]),c_0_706]),c_0_709]) ).

cnf(c_0_840,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e11) = e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    i_0_48 ).

cnf(c_0_841,plain,
    op1(e13,e10) != op1(e11,e10),
    i_0_140 ).

cnf(c_0_842,plain,
    op1(e11,e13) != op1(e10,e13),
    i_0_126 ).

cnf(c_0_843,plain,
    ( op1(e11,e13) = e10
    | op1(e11,e11) = e10 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_821,c_0_708]),c_0_769]),c_0_714]) ).

cnf(c_0_844,plain,
    ( op2(e21,op2(e21,e21)) = e21
    | op2(e22,op2(e20,e22)) = e22
    | op2(e22,op2(e22,e22)) = e22
    | ~ epred2_0 ),
    i_0_356 ).

cnf(c_0_845,plain,
    ( op2(e23,op2(e21,e23)) = e23
    | op2(e22,op2(e20,e22)) = e22 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_822,c_0_779])]) ).

cnf(c_0_846,plain,
    ( op2(e21,e23) = e20
    | op2(e21,e21) = e20 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_823,c_0_744]),c_0_824]),c_0_750]) ).

cnf(c_0_847,plain,
    op2(e23,e20) != e23,
    inference(rw,[status(thm)],[c_0_825,c_0_744]) ).

cnf(c_0_848,plain,
    ( op2(e21,e23) = e21
    | op2(e20,e22) = e23
    | op2(e21,e23) != e20 ),
    inference(spm,[status(thm)],[c_0_826,c_0_827]) ).

cnf(c_0_849,plain,
    ( op2(e20,e23) = e21
    | op2(e20,e21) = e21
    | op2(e20,e22) = e21 ),
    inference(sr,[status(thm)],[c_0_828,c_0_829]) ).

cnf(c_0_850,plain,
    ( op2(e22,op2(e22,e22)) = e22
    | op2(e23,op2(e20,e23)) = e23
    | op2(e23,op2(e21,e23)) = e23
    | ~ epred2_0 ),
    i_0_332 ).

cnf(c_0_851,plain,
    ( op2(e20,e23) = e20
    | op2(e21,e23) = e20
    | op2(e22,e23) = e23
    | op2(e20,e23) = e23 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_803,c_0_830]),c_0_750]) ).

cnf(c_0_852,plain,
    op2(e23,e23) != op2(e23,e21),
    i_0_146 ).

cnf(c_0_853,plain,
    ( op2(e22,e23) = e23
    | op2(e20,e23) = e21
    | op2(e21,e23) = e21 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_802,c_0_831]),c_0_804]) ).

cnf(c_0_854,plain,
    ( op1(e10,op1(e10,e10)) = e10
    | op1(e10,op1(e11,e10)) = e10
    | op1(e12,op1(e12,e12)) = e12
    | ~ epred1_0 ),
    i_0_328 ).

cnf(c_0_855,plain,
    ( op1(e10,e12) = e11
    | op1(e10,e11) = e11
    | op1(e12,e11) != e13 ),
    inference(spm,[status(thm)],[c_0_832,c_0_754]) ).

cnf(c_0_856,plain,
    ( op1(e12,e11) = e12
    | op1(e12,e11) = e13 ),
    inference(sr,[status(thm)],[c_0_833,c_0_834]) ).

cnf(c_0_857,plain,
    ( op1(e10,e10) = e12
    | op1(e10,e11) = e12
    | op1(e12,e13) != e12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_835,c_0_836]),c_0_837]) ).

cnf(c_0_858,plain,
    ( op1(e12,e13) = e12
    | op1(e12,e11) = e12 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_838,c_0_704]),c_0_706]),c_0_722]),c_0_709]) ).

cnf(c_0_859,plain,
    ( op1(e10,op1(e11,e10)) = e10
    | op1(e11,op1(e10,e11)) = e11
    | op1(e12,op1(e12,e12)) = e12
    | ~ epred1_0 ),
    i_0_312 ).

cnf(c_0_860,plain,
    ( op1(e13,op1(e10,e13)) = e13
    | op1(e11,op1(e11,e11)) = e11 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_839,c_0_728])]) ).

cnf(c_0_861,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e10) = e10
    | op1(e10,e11) = e10 ),
    inference(sr,[status(thm)],[c_0_840,c_0_717]) ).

cnf(c_0_862,plain,
    op1(e13,e10) != e13,
    inference(rw,[status(thm)],[c_0_841,c_0_708]) ).

cnf(c_0_863,plain,
    ( op1(e11,e11) = e10
    | op1(e10,e13) != e10 ),
    inference(spm,[status(thm)],[c_0_842,c_0_843]) ).

cnf(c_0_864,plain,
    ( op1(e11,op1(e10,e11)) = e11
    | op1(e12,op1(e12,e12)) = e12
    | op1(e13,op1(e11,e13)) = e13
    | ~ epred1_0 ),
    i_0_300 ).

cnf(c_0_865,plain,
    ( op2(e20,e22) = e23
    | op2(e21,e22) = e23
    | op2(e22,e22) = e23
    | op2(e23,e22) = e23 ),
    i_0_73 ).

cnf(c_0_866,plain,
    op2(e21,e22) != op2(e21,e20),
    i_0_161 ).

cnf(c_0_867,plain,
    ( op2(e21,op2(e21,e21)) = e21
    | op2(e22,op2(e20,e22)) = e22
    | ~ epred2_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_844,c_0_726]),c_0_736]),c_0_745]) ).

cnf(c_0_868,plain,
    ( op2(e22,op2(e20,e22)) = e22
    | op2(e21,e21) = e20 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_845,c_0_846]),c_0_847]) ).

cnf(c_0_869,plain,
    ( op2(e21,e21) = e20
    | op2(e20,e22) = e23 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_848,c_0_846]),c_0_749]) ).

cnf(c_0_870,plain,
    op2(e23,e21) != op2(e20,e21),
    i_0_184 ).

cnf(c_0_871,plain,
    ( op2(e20,e21) = e21
    | op2(e20,e22) = e21
    | op2(e23,e21) = e23 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_789,c_0_849]),c_0_749]) ).

cnf(c_0_872,plain,
    ( op2(e23,op2(e20,e23)) = e23
    | op2(e23,op2(e21,e23)) = e23
    | ~ epred2_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_850,c_0_726]),c_0_736]),c_0_745]) ).

cnf(c_0_873,plain,
    ( op2(e22,e23) = e23
    | op2(e21,e23) = e20
    | op2(e20,e23) = e20
    | op2(e23,e23) = e23 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_789,c_0_851]),c_0_750]) ).

cnf(c_0_874,plain,
    ( op2(e22,e23) = e23
    | op2(e20,e23) = e23
    | op2(e23,e21) != e23 ),
    inference(spm,[status(thm)],[c_0_852,c_0_803]) ).

cnf(c_0_875,plain,
    ( op2(e21,e23) = e21
    | op2(e22,e23) = e23
    | op2(e23,e21) = e23 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_789,c_0_853]),c_0_749]) ).

cnf(c_0_876,plain,
    ( op1(e10,op1(e10,e10)) = e10
    | op1(e10,e13) = e10
    | ~ epred1_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_854,c_0_704]),c_0_706]),c_0_708]),c_0_709]) ).

cnf(c_0_877,plain,
    ( op1(e12,e11) = e12
    | op1(e10,e11) = e11
    | op1(e10,e12) = e11 ),
    inference(spm,[status(thm)],[c_0_855,c_0_856]) ).

cnf(c_0_878,plain,
    ( op1(e12,e11) = e12
    | op1(e10,e11) = e12
    | op1(e10,e10) = e12 ),
    inference(spm,[status(thm)],[c_0_857,c_0_858]) ).

cnf(c_0_879,plain,
    ( op1(e11,op1(e10,e11)) = e11
    | op1(e10,e13) = e10
    | ~ epred1_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_859,c_0_704]),c_0_706]),c_0_708]),c_0_709]) ).

cnf(c_0_880,plain,
    ( op1(e11,op1(e11,e11)) = e11
    | op1(e10,e10) = e10
    | op1(e10,e11) = e10 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_860,c_0_861]),c_0_862]) ).

cnf(c_0_881,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e11) = e10
    | op1(e11,e11) = e10 ),
    inference(spm,[status(thm)],[c_0_863,c_0_861]) ).

cnf(c_0_882,plain,
    ( op1(e13,op1(e11,e13)) = e13
    | op1(e11,op1(e10,e11)) = e11
    | ~ epred1_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_864,c_0_704]),c_0_706]),c_0_709]) ).

cnf(c_0_883,plain,
    ( op2(e23,e22) = e23
    | op2(e20,e22) = e23
    | op2(e21,e22) = e23 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_865,c_0_726]),c_0_750]) ).

cnf(c_0_884,plain,
    op2(e21,e22) != e23,
    inference(rw,[status(thm)],[c_0_866,c_0_744]) ).

cnf(c_0_885,plain,
    ( op2(e20,e22) = e22
    | op2(e21,e22) = e22
    | op2(e22,e22) = e22
    | op2(e23,e22) = e22 ),
    i_0_75 ).

cnf(c_0_886,plain,
    ( op2(e21,op2(e21,e21)) = e21
    | op2(e22,op2(e20,e22)) = e22 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_867,c_0_779])]) ).

cnf(c_0_887,plain,
    ( op2(e21,e21) = e20
    | op2(e22,e23) = e22 ),
    inference(spm,[status(thm)],[c_0_868,c_0_869]) ).

cnf(c_0_888,plain,
    ( op2(e20,e22) = e21
    | op2(e20,e21) = e21
    | op2(e20,e21) != e23 ),
    inference(spm,[status(thm)],[c_0_870,c_0_871]) ).

cnf(c_0_889,plain,
    ( op2(e23,op2(e20,e23)) = e23
    | op2(e23,op2(e21,e23)) = e23 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_872,c_0_779])]) ).

cnf(c_0_890,plain,
    ( op2(e22,e23) = e23
    | op2(e20,e23) = e20
    | op2(e21,e23) = e20 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_830,c_0_873]),c_0_750]) ).

cnf(c_0_891,plain,
    ( op2(e21,e23) = e21
    | op2(e20,e23) = e23
    | op2(e22,e23) = e23 ),
    inference(spm,[status(thm)],[c_0_874,c_0_875]) ).

cnf(c_0_892,plain,
    ( op1(e10,op1(e11,e10)) = e10
    | op1(e12,op1(e10,e12)) = e12
    | op1(e12,op1(e12,e12)) = e12
    | ~ epred1_0 ),
    i_0_296 ).

cnf(c_0_893,plain,
    ( op1(e10,op1(e10,e10)) = e10
    | op1(e10,e13) = e10 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_876,c_0_728])]) ).

cnf(c_0_894,plain,
    ( op1(e10,e10) = e12
    | op1(e10,e12) = e11
    | op1(e12,e11) = e12 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_877,c_0_878]),c_0_709]) ).

cnf(c_0_895,plain,
    ( op1(e11,op1(e10,e11)) = e11
    | op1(e10,e13) = e10 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_879,c_0_728])]) ).

cnf(c_0_896,plain,
    ( op1(e10,e11) = e10
    | op1(e10,e10) = e10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_880,c_0_881]),c_0_708]),c_0_767]) ).

cnf(c_0_897,plain,
    ( op1(e13,op1(e11,e13)) = e13
    | op1(e11,op1(e10,e11)) = e11 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_882,c_0_728])]) ).

cnf(c_0_898,plain,
    ( op2(e20,e22) = e23
    | op2(e23,e22) = e23 ),
    inference(sr,[status(thm)],[c_0_883,c_0_884]) ).

cnf(c_0_899,plain,
    ( op2(e23,e22) = e22
    | op2(e20,e22) = e22
    | op2(e21,e22) = e22 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_885,c_0_726]),c_0_773]) ).

cnf(c_0_900,plain,
    ( op2(e22,op2(e20,e22)) = e22
    | op2(e22,e23) = e22 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_886,c_0_887]),c_0_744]),c_0_804]) ).

cnf(c_0_901,plain,
    ( op2(e20,e22) = e23
    | op2(e20,e22) = e21 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_888,c_0_811]),c_0_804]) ).

cnf(c_0_902,plain,
    ( op2(e23,op2(e21,e23)) = e23
    | op2(e21,e23) = e20
    | op2(e22,e23) = e23 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_889,c_0_890]),c_0_847]) ).

cnf(c_0_903,plain,
    ( op2(e21,e23) = e21
    | op2(e22,e23) = e23 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_853,c_0_891]),c_0_804]) ).

cnf(c_0_904,plain,
    ( op2(e22,e20) = e23
    | op2(e22,e21) = e23
    | op2(e22,e22) = e23
    | op2(e22,e23) = e23 ),
    i_0_74 ).

cnf(c_0_905,plain,
    ( op1(e12,op1(e10,e12)) = e12
    | op1(e10,e13) = e10
    | ~ epred1_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_892,c_0_704]),c_0_706]),c_0_708]),c_0_709]) ).

cnf(c_0_906,plain,
    op1(e10,e11) != op1(e12,e11),
    i_0_137 ).

cnf(c_0_907,plain,
    op1(e10,e13) != op1(e10,e10),
    i_0_118 ).

cnf(c_0_908,plain,
    ( op1(e12,e11) = e12
    | op1(e10,e12) = e11
    | op1(e10,e13) = e10 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_893,c_0_894]),c_0_717]) ).

cnf(c_0_909,plain,
    op1(e10,e13) != op1(e10,e11),
    i_0_116 ).

cnf(c_0_910,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e13) = e10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_895,c_0_896]),c_0_708]),c_0_767]) ).

cnf(c_0_911,plain,
    ( op1(e11,op1(e10,e11)) = e11
    | op1(e11,op1(e11,e11)) = e11
    | op1(e12,op1(e12,e12)) = e12
    | ~ epred1_0 ),
    i_0_308 ).

cnf(c_0_912,plain,
    ( op1(e11,op1(e10,e11)) = e11
    | op1(e11,e11) = e10 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_897,c_0_843]),c_0_862]) ).

cnf(c_0_913,plain,
    ( op2(e21,e23) = e20
    | op2(e21,e23) = e21
    | op2(e21,e23) = e22
    | op2(e21,e23) = e23 ),
    i_0_57 ).

cnf(c_0_914,plain,
    ( op2(e20,e22) = e22
    | op2(e21,e22) = e22
    | op2(e20,e22) = e23 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_898,c_0_899]),c_0_746]) ).

cnf(c_0_915,plain,
    ( op2(e20,e22) = e21
    | op2(e22,e23) = e22 ),
    inference(spm,[status(thm)],[c_0_900,c_0_901]) ).

cnf(c_0_916,plain,
    op2(e23,e21) != op2(e22,e21),
    i_0_181 ).

cnf(c_0_917,plain,
    ( op2(e22,e23) = e23
    | op2(e23,e21) = e23 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_902,c_0_903]),c_0_749]) ).

cnf(c_0_918,plain,
    ( op2(e22,e23) = e23
    | op2(e22,e21) = e23 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_904,c_0_726]),c_0_736]),c_0_750]),c_0_804]) ).

cnf(c_0_919,plain,
    ( op1(e12,op1(e10,e12)) = e12
    | op1(e10,e13) = e10 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_905,c_0_728])]) ).

cnf(c_0_920,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e10) = e11
    | op1(e10,e10) = e12
    | op1(e10,e10) = e13 ),
    i_0_16 ).

cnf(c_0_921,plain,
    ( op1(e10,e12) = e13
    | op1(e12,e11) != e13 ),
    inference(spm,[status(thm)],[c_0_906,c_0_766]) ).

cnf(c_0_922,plain,
    ( op1(e10,e12) = e11
    | op1(e12,e11) = e12
    | op1(e10,e10) != e10 ),
    inference(spm,[status(thm)],[c_0_907,c_0_908]) ).

cnf(c_0_923,plain,
    op1(e10,e10) = e10,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_909,c_0_910]),c_0_896]) ).

cnf(c_0_924,plain,
    ( op1(e11,op1(e10,e11)) = e11
    | op1(e11,op1(e11,e11)) = e11
    | ~ epred1_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_911,c_0_704]),c_0_706]),c_0_709]) ).

cnf(c_0_925,plain,
    ( op1(e10,e12) = e13
    | op1(e11,e11) = e10
    | op1(e11,e13) = e11 ),
    inference(spm,[status(thm)],[c_0_912,c_0_766]) ).

cnf(c_0_926,plain,
    op2(e21,e23) != op2(e21,e21),
    i_0_158 ).

cnf(c_0_927,plain,
    ( op2(e21,e23) = e22
    | op2(e21,e23) = e21
    | op2(e21,e23) = e20 ),
    inference(sr,[status(thm)],[c_0_913,c_0_794]) ).

cnf(c_0_928,plain,
    ( op2(e22,e23) = e22
    | op2(e21,e22) = e22 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_914,c_0_915]),c_0_745]),c_0_804]) ).

cnf(c_0_929,plain,
    op2(e22,e23) = e23,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_916,c_0_917]),c_0_918]) ).

cnf(c_0_930,plain,
    ( op1(e10,e12) = e11
    | op1(e10,e13) = e10
    | op1(e12,e13) = e12 ),
    inference(spm,[status(thm)],[c_0_919,c_0_776]) ).

cnf(c_0_931,plain,
    ( op1(e10,e10) = e13
    | op1(e10,e10) = e10
    | op1(e10,e10) = e12 ),
    inference(sr,[status(thm)],[c_0_920,c_0_730]) ).

cnf(c_0_932,plain,
    ( op1(e12,e11) = e12
    | op1(e10,e12) = e13 ),
    inference(spm,[status(thm)],[c_0_921,c_0_856]) ).

cnf(c_0_933,plain,
    ( op1(e12,e11) = e12
    | op1(e10,e12) = e11 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_922,c_0_923])]) ).

cnf(c_0_934,plain,
    ( op1(e11,op1(e10,e11)) = e11
    | op1(e11,op1(e11,e11)) = e11 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_924,c_0_728])]) ).

cnf(c_0_935,plain,
    ( op1(e10,e12) = e13
    | op1(e11,e11) = e10 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_843,c_0_925]),c_0_713]) ).

cnf(c_0_936,plain,
    op1(e13,e10) != op1(e12,e10),
    i_0_139 ).

cnf(c_0_937,plain,
    op2(e23,e23) != op2(e23,e22),
    i_0_145 ).

cnf(c_0_938,plain,
    ( op2(e23,e23) = e20
    | op2(e23,e23) = e21
    | op2(e23,e23) = e22
    | op2(e23,e23) = e23 ),
    i_0_49 ).

cnf(c_0_939,plain,
    ( op2(e21,e23) = e22
    | op2(e21,e23) = e21
    | op2(e21,e21) != e20 ),
    inference(spm,[status(thm)],[c_0_926,c_0_927]) ).

cnf(c_0_940,plain,
    op2(e21,e23) != op2(e21,e22),
    i_0_157 ).

cnf(c_0_941,plain,
    op2(e21,e22) = e22,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_928,c_0_929]),c_0_746]) ).

cnf(c_0_942,plain,
    ( op1(e12,e13) = e12
    | op1(e10,e12) = e11
    | op1(e10,e10) != e10 ),
    inference(spm,[status(thm)],[c_0_907,c_0_930]) ).

cnf(c_0_943,plain,
    ( op1(e10,e10) = e12
    | op1(e10,e10) = e10 ),
    inference(sr,[status(thm)],[c_0_931,c_0_732]) ).

cnf(c_0_944,plain,
    op1(e12,e13) != op1(e12,e11),
    i_0_104 ).

cnf(c_0_945,plain,
    op1(e12,e11) = e12,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_932,c_0_933]),c_0_767]) ).

cnf(c_0_946,plain,
    ( op1(e11,op1(e10,e11)) = e11
    | op1(e10,e12) = e13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_934,c_0_935]),c_0_708]),c_0_767]) ).

cnf(c_0_947,plain,
    ( op1(e13,e10) = e11
    | op1(e13,e11) = e11
    | op1(e13,e12) = e11
    | op1(e13,e13) = e11 ),
    i_0_22 ).

cnf(c_0_948,plain,
    op1(e13,e10) != e11,
    inference(rw,[status(thm)],[c_0_936,c_0_706]) ).

cnf(c_0_949,plain,
    ( op1(e13,e10) = e10
    | op1(e13,e10) = e11
    | op1(e13,e10) = e12
    | op1(e13,e10) = e13 ),
    i_0_4 ).

cnf(c_0_950,plain,
    op2(e23,e20) != op2(e22,e20),
    i_0_187 ).

cnf(c_0_951,plain,
    ( op2(e23,e23) = e20
    | op2(e23,e23) = e21
    | op2(e23,e23) = e22
    | op2(e23,e22) != e23 ),
    inference(spm,[status(thm)],[c_0_937,c_0_938]) ).

cnf(c_0_952,plain,
    ( op2(e22,e23) = e22
    | op2(e21,e23) = e21
    | op2(e21,e23) = e22 ),
    inference(spm,[status(thm)],[c_0_939,c_0_887]) ).

cnf(c_0_953,plain,
    op2(e21,e23) != e22,
    inference(rw,[status(thm)],[c_0_940,c_0_941]) ).

cnf(c_0_954,plain,
    op2(e22,op2(e22,e22)) = h3(e11),
    i_0_244 ).

cnf(c_0_955,plain,
    op2(op2(e22,op2(e22,e22)),op2(e22,e22)) = h3(e13),
    i_0_243 ).

cnf(c_0_956,plain,
    ( op1(e10,e10) = e12
    | op1(e10,e12) = e11
    | op1(e12,e13) = e12 ),
    inference(spm,[status(thm)],[c_0_942,c_0_943]) ).

cnf(c_0_957,plain,
    op1(e12,e13) != e12,
    inference(rw,[status(thm)],[c_0_944,c_0_945]) ).

cnf(c_0_958,plain,
    ( op1(e10,e12) = e13
    | op1(e11,e13) = e11 ),
    inference(spm,[status(thm)],[c_0_946,c_0_766]) ).

cnf(c_0_959,plain,
    op1(e13,e13) != op1(e11,e13),
    i_0_122 ).

cnf(c_0_960,plain,
    ( op1(e13,e13) = e11
    | op1(e13,e11) = e11
    | op1(e13,e12) = e11 ),
    inference(sr,[status(thm)],[c_0_947,c_0_948]) ).

cnf(c_0_961,plain,
    ( op1(e13,e10) = e13
    | op1(e13,e10) = e10
    | op1(e13,e10) = e12 ),
    inference(sr,[status(thm)],[c_0_949,c_0_948]) ).

cnf(c_0_962,plain,
    op1(e12,e13) != op1(e12,e12),
    i_0_103 ).

cnf(c_0_963,plain,
    ( op2(e23,e20) = e20
    | op2(e23,e20) = e21
    | op2(e23,e20) = e22
    | op2(e23,e20) = e23 ),
    i_0_52 ).

cnf(c_0_964,plain,
    op2(e23,e20) != e21,
    inference(rw,[status(thm)],[c_0_950,c_0_736]) ).

cnf(c_0_965,plain,
    op2(e23,e23) != op2(e23,e20),
    i_0_148 ).

cnf(c_0_966,plain,
    ( op2(e20,e22) = e23
    | op2(e23,e23) = e22
    | op2(e23,e23) = e21
    | op2(e23,e23) = e20 ),
    inference(spm,[status(thm)],[c_0_951,c_0_898]) ).

cnf(c_0_967,plain,
    op2(e23,e23) != op2(e21,e23),
    i_0_170 ).

cnf(c_0_968,plain,
    op2(e21,e23) = e21,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_952,c_0_929]),c_0_746]),c_0_953]) ).

cnf(c_0_969,plain,
    ( op2(e21,op2(e21,e21)) = e21
    | op2(e22,op2(e22,e22)) = e22
    | op2(e23,op2(e20,e23)) = e23
    | ~ epred2_0 ),
    i_0_340 ).

cnf(c_0_970,plain,
    ( epred5_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_580 ).

cnf(c_0_971,plain,
    h3(e12) = e22,
    i_0_246 ).

cnf(c_0_972,plain,
    h3(e11) = e21,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_954,c_0_726]),c_0_736]) ).

cnf(c_0_973,plain,
    op2(e22,e22) = h3(e10),
    i_0_245 ).

cnf(c_0_974,plain,
    h3(e13) = e23,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_955,c_0_726]),c_0_736]),c_0_726]),c_0_744]) ).

cnf(c_0_975,negated_conjecture,
    ( h3(e13) != e23
    | ~ epred5_0 ),
    i_0_255 ).

cnf(c_0_976,plain,
    ( op1(e12,e10) = e13
    | op1(e12,e11) = e13
    | op1(e12,e12) = e13
    | op1(e12,e13) = e13 ),
    i_0_26 ).

cnf(c_0_977,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    i_0_13 ).

cnf(c_0_978,plain,
    op1(e10,e12) = e11,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_956,c_0_957]),c_0_923]),c_0_722]) ).

cnf(c_0_979,plain,
    ( op1(e10,e12) = e13
    | op1(e10,e13) != e11 ),
    inference(spm,[status(thm)],[c_0_842,c_0_958]) ).

cnf(c_0_980,plain,
    ( op1(e13,e11) = e11
    | op1(e13,e12) = e11
    | op1(e11,e13) != e11 ),
    inference(spm,[status(thm)],[c_0_959,c_0_960]) ).

cnf(c_0_981,plain,
    op1(e13,e10) != op1(e10,e10),
    i_0_142 ).

cnf(c_0_982,plain,
    ( op1(e13,e10) = e12
    | op1(e13,e10) = e10 ),
    inference(sr,[status(thm)],[c_0_961,c_0_862]) ).

cnf(c_0_983,plain,
    ( op1(e10,e13) = e10
    | op1(e11,e13) = e10
    | op1(e12,e13) = e10
    | op1(e13,e13) = e10 ),
    i_0_23 ).

cnf(c_0_984,plain,
    op1(e12,e13) != e10,
    inference(rw,[status(thm)],[c_0_962,c_0_704]) ).

cnf(c_0_985,plain,
    ( op2(e23,e20) = e23
    | op2(e23,e20) = e20
    | op2(e23,e20) = e22 ),
    inference(sr,[status(thm)],[c_0_963,c_0_964]) ).

cnf(c_0_986,plain,
    ( op2(e23,e23) = e21
    | op2(e23,e23) = e22
    | op2(e20,e22) = e23
    | op2(e23,e20) != e20 ),
    inference(spm,[status(thm)],[c_0_965,c_0_966]) ).

cnf(c_0_987,plain,
    op2(e20,e22) = e21,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_915,c_0_929]),c_0_746]) ).

cnf(c_0_988,plain,
    op2(e23,e23) != e21,
    inference(rw,[status(thm)],[c_0_967,c_0_968]) ).

cnf(c_0_989,plain,
    ( op2(e23,op2(e20,e23)) = e23
    | op2(e21,op2(e21,e21)) = e21
    | ~ epred2_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_969,c_0_726]),c_0_736]),c_0_745]) ).

cnf(c_0_990,plain,
    op2(e22,e23) != op2(e20,e23),
    i_0_173 ).

cnf(c_0_991,plain,
    ( epred5_0
    | h3(op1(e12,e11)) != op2(e22,e21)
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != op2(e21,e21)
    | h3(op1(e11,e13)) != op2(e21,e23)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e10)) != op2(e20,e20)
    | h3(op1(e10,e13)) != op2(e20,e23)
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,e21)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e13,e13)) != op2(e23,e23) ),
    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)],[c_0_970,c_0_971]),c_0_972]),c_0_973]),c_0_726]),c_0_971]),c_0_971]),c_0_726]),c_0_704]),c_0_973]),c_0_726]),c_0_971]),c_0_972]),c_0_971]),c_0_973]),c_0_726]),c_0_736]),c_0_706]),c_0_972]),c_0_971]),c_0_974]),c_0_972]),c_0_971]),c_0_972]),c_0_972]),c_0_972]),c_0_973]),c_0_726]),c_0_744]),c_0_708]),c_0_974]),c_0_972]),c_0_974]),c_0_973]),c_0_726]),c_0_971]),c_0_973]),c_0_726]),c_0_972]),c_0_973]),c_0_726]),c_0_973]),c_0_726]),c_0_973]),c_0_726]),c_0_974]),c_0_974]),c_0_971]),c_0_974]),c_0_972]),c_0_974]),c_0_973]),c_0_726]),c_0_974]),c_0_974])]) ).

cnf(c_0_992,negated_conjecture,
    ~ epred5_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_975,c_0_974])]) ).

cnf(c_0_993,plain,
    ( op1(e12,e13) = e13
    | op1(e12,e11) = e13 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_976,c_0_704]),c_0_706]),c_0_714]),c_0_767]) ).

cnf(c_0_994,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e11) != e13 ),
    inference(spm,[status(thm)],[c_0_909,c_0_977]) ).

cnf(c_0_995,plain,
    op1(e10,e11) = e13,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_766,c_0_978]),c_0_767]) ).

cnf(c_0_996,plain,
    op1(e10,e13) != e10,
    inference(rw,[status(thm)],[c_0_907,c_0_923]) ).

cnf(c_0_997,plain,
    op1(e10,e13) != e11,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_979,c_0_978]),c_0_767]) ).

cnf(c_0_998,plain,
    ( op1(e10,e12) = e13
    | op1(e13,e12) = e11
    | op1(e13,e11) = e11 ),
    inference(spm,[status(thm)],[c_0_980,c_0_958]) ).

cnf(c_0_999,plain,
    op1(e13,e12) = e13,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_757,c_0_978]),c_0_767]) ).

cnf(c_0_1000,plain,
    ( op1(e13,e10) = e12
    | op1(e10,e10) != e10 ),
    inference(spm,[status(thm)],[c_0_981,c_0_982]) ).

cnf(c_0_1001,plain,
    ( op1(e13,e13) = e10
    | op1(e10,e13) = e10
    | op1(e11,e13) = e10 ),
    inference(sr,[status(thm)],[c_0_983,c_0_984]) ).

cnf(c_0_1002,plain,
    op1(e11,e13) = e11,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_958,c_0_978]),c_0_767]) ).

cnf(c_0_1003,plain,
    op2(e23,e20) != op2(e20,e20),
    i_0_190 ).

cnf(c_0_1004,plain,
    ( op2(e23,e20) = e22
    | op2(e23,e20) = e20 ),
    inference(sr,[status(thm)],[c_0_985,c_0_847]) ).

cnf(c_0_1005,plain,
    ( op2(e22,e20) = e22
    | op2(e22,e21) = e22
    | op2(e22,e22) = e22
    | op2(e22,e23) = e22 ),
    i_0_76 ).

cnf(c_0_1006,plain,
    ( op2(e23,e23) = e22
    | op2(e23,e20) != e20 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_986,c_0_987]),c_0_988]),c_0_804]) ).

cnf(c_0_1007,plain,
    ( op2(e23,op2(e20,e23)) = e23
    | op2(e21,op2(e21,e21)) = e21 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_989,c_0_779])]) ).

cnf(c_0_1008,plain,
    op2(e21,e21) = e20,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_887,c_0_929]),c_0_746]) ).

cnf(c_0_1009,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    i_0_61 ).

cnf(c_0_1010,plain,
    op2(e20,e23) != e23,
    inference(rw,[status(thm)],[c_0_990,c_0_929]) ).

cnf(c_0_1011,plain,
    op2(e20,e23) != e21,
    inference(rw,[status(thm)],[c_0_826,c_0_968]) ).

cnf(c_0_1012,plain,
    ( op2(e23,e20) = e21
    | op2(e23,e21) = e21
    | op2(e23,e22) = e21
    | op2(e23,e23) = e21 ),
    i_0_70 ).

cnf(c_0_1013,plain,
    ( h3(op1(e12,e11)) != op2(e22,e21)
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != op2(e21,e21)
    | h3(op1(e11,e13)) != op2(e21,e23)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e10)) != op2(e20,e20)
    | h3(op1(e10,e13)) != op2(e20,e23)
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,e21)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e13,e13)) != op2(e23,e23) ),
    inference(sr,[status(thm)],[c_0_991,c_0_992]) ).

cnf(c_0_1014,plain,
    op1(e12,e13) = e13,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_993,c_0_945]),c_0_710]) ).

cnf(c_0_1015,plain,
    op1(e11,e12) = e12,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_819,c_0_923]),c_0_722]) ).

cnf(c_0_1016,plain,
    op1(e11,e11) = e10,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_935,c_0_978]),c_0_767]) ).

cnf(c_0_1017,plain,
    op1(e10,e13) = e12,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_994,c_0_995])]),c_0_996]),c_0_997]) ).

cnf(c_0_1018,plain,
    op1(e13,e11) = e11,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_998,c_0_978]),c_0_767]),c_0_999]),c_0_767]) ).

cnf(c_0_1019,plain,
    op1(e13,e10) = e12,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1000,c_0_923])]) ).

cnf(c_0_1020,plain,
    op1(e13,e13) = e10,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_1001,c_0_996]),c_0_1002]),c_0_713]) ).

cnf(c_0_1021,plain,
    ( op2(e23,e20) = e22
    | op2(e20,e20) != e20 ),
    inference(spm,[status(thm)],[c_0_1003,c_0_1004]) ).

cnf(c_0_1022,plain,
    ( op2(e22,e23) = e22
    | op2(e22,e21) = e22 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1005,c_0_726]),c_0_736]),c_0_773]),c_0_745]) ).

cnf(c_0_1023,plain,
    ( op2(e20,e20) = e20
    | op2(e23,e23) = e22 ),
    inference(spm,[status(thm)],[c_0_1006,c_0_762]) ).

cnf(c_0_1024,plain,
    op2(e23,op2(e20,e23)) = e23,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1007,c_0_1008]),c_0_744]),c_0_804]) ).

cnf(c_0_1025,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e22 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1009,c_0_1010]),c_0_1011]) ).

cnf(c_0_1026,plain,
    ( op2(e23,e23) = e21
    | op2(e23,e21) = e21
    | op2(e23,e22) = e21 ),
    inference(sr,[status(thm)],[c_0_1012,c_0_964]) ).

cnf(c_0_1027,plain,
    op2(e21,e23) != e20,
    inference(rw,[status(thm)],[c_0_926,c_0_1008]) ).

cnf(c_0_1028,plain,
    ( op2(e22,e21) != e22
    | op2(e22,e23) != e23
    | op2(e21,e22) != e22
    | op2(e21,e21) != e20
    | op2(e21,e23) != e21
    | op2(e20,e22) != e21
    | op2(e20,e21) != e23
    | op2(e20,e20) != e20
    | op2(e20,e23) != e22
    | op2(e23,e22) != e23
    | op2(e23,e21) != e21
    | op2(e23,e23) != e20 ),
    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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_1013,c_0_923]),c_0_973]),c_0_726]),c_0_945]),c_0_971]),c_0_1014]),c_0_974]),c_0_1015]),c_0_971]),c_0_1016]),c_0_973]),c_0_726]),c_0_1002]),c_0_972]),c_0_978]),c_0_972]),c_0_995]),c_0_974]),c_0_1017]),c_0_971]),c_0_999]),c_0_974]),c_0_1018]),c_0_972]),c_0_1019]),c_0_971]),c_0_1020]),c_0_973]),c_0_726]),c_0_1021]) ).

cnf(c_0_1029,plain,
    op2(e22,e21) = e22,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1022,c_0_929]),c_0_746]) ).

cnf(c_0_1030,plain,
    op2(e20,e21) = e23,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_811,c_0_987]),c_0_804]) ).

cnf(c_0_1031,plain,
    op2(e23,e22) = e23,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_898,c_0_987]),c_0_804]) ).

cnf(c_0_1032,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e23) != e22 ),
    inference(spm,[status(thm)],[c_0_799,c_0_1023]) ).

cnf(c_0_1033,plain,
    op2(e20,e23) = e22,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1024,c_0_1025]),c_0_847]) ).

cnf(c_0_1034,plain,
    ( op2(e23,e21) = e21
    | op2(e23,e22) = e21
    | op2(e21,e23) != e21 ),
    inference(spm,[status(thm)],[c_0_967,c_0_1026]) ).

cnf(c_0_1035,plain,
    ( op2(e23,e23) = e20
    | op2(e20,e23) = e20 ),
    inference(sr,[status(thm)],[c_0_830,c_0_1027]) ).

cnf(c_0_1036,plain,
    ( op2(e20,e20) != e20
    | op2(e20,e23) != e22
    | op2(e23,e21) != e21
    | op2(e23,e23) != e20 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1028,c_0_929])]),c_0_1029]),c_0_941]),c_0_1008]),c_0_968]),c_0_987]),c_0_1030]),c_0_1031])]) ).

cnf(c_0_1037,plain,
    op2(e20,e20) = e20,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1032,c_0_1033])]) ).

cnf(c_0_1038,plain,
    op2(e23,e21) = e21,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1034,c_0_968])]),c_0_1031]),c_0_804]) ).

cnf(c_0_1039,plain,
    op2(e23,e23) = e20,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1035,c_0_1033]),c_0_773]) ).

cnf(c_0_1040,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1036,c_0_1033])]),c_0_1037]),c_0_1038]),c_0_1039])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : ALG107+1 : TPTP v8.1.0. Released v2.7.0.
% 0.04/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n025.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Thu Jun  9 03:06:37 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 6.29/2.71  # ENIGMATIC: Solved by autoschedule-lgb:
% 6.29/2.71  # No SInE strategy applied
% 6.29/2.71  # Trying AutoSched0 for 150 seconds
% 6.29/2.71  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 6.29/2.71  # and selection function SelectNewComplexAHP.
% 6.29/2.71  #
% 6.29/2.71  # Preprocessing time       : 0.045 s
% 6.29/2.71  # Presaturation interreduction done
% 6.29/2.71  
% 6.29/2.71  # Proof found!
% 6.29/2.71  # SZS status Theorem
% 6.29/2.71  # SZS output start CNFRefutation
% See solution above
% 6.29/2.72  # Training examples: 0 positive, 0 negative
% 6.29/2.72  
% 6.29/2.72  # -------------------------------------------------
% 6.29/2.72  # User time                : 0.163 s
% 6.29/2.72  # System time              : 0.009 s
% 6.29/2.72  # Total time               : 0.172 s
% 6.29/2.72  # Maximum resident set size: 7124 pages
% 6.29/2.72  
%------------------------------------------------------------------------------