TSTP Solution File: ALG106+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG106+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n032.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 14:57:48 EDT 2022

% Result   : Theorem 11.32s 2.88s
% Output   : CNFRefutation 11.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   51
%            Number of leaves      :  195
% Syntax   : Number of clauses     :  828 ( 302 unt; 357 nHn; 828 RR)
%            Number of literals    : 1999 (1669 equ; 763 neg)
%            Maximal clause size   :   20 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   17 (  15 usr;  16 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_292,plain,
    op2(e23,op2(e23,e23)) = e22,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_292) ).

cnf(i_0_293,plain,
    op2(e23,e23) = e21,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_293) ).

cnf(i_0_309,plain,
    op2(op2(e23,op2(e23,e23)),e23) = h4(e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_309) ).

cnf(i_0_154,plain,
    op2(e22,e23) != op2(e22,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_154) ).

cnf(i_0_294,plain,
    op2(op2(e23,op2(e23,e23)),e23) = e20,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_294) ).

cnf(i_0_173,plain,
    op2(e22,e23) != op2(e20,e23),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_173) ).

cnf(i_0_579,plain,
    ( op2(e20,e20) != e20
    | op2(e23,e23) != e21
    | ~ epred8_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_579) ).

cnf(i_0_296,plain,
    op2(e20,e20) = h1(e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_296) ).

cnf(i_0_147,plain,
    op2(e23,e22) != op2(e23,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_147) ).

cnf(i_0_170,plain,
    op2(e23,e23) != op2(e21,e23),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_170) ).

cnf(i_0_651,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | epred9_0
    | ~ epred10_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_651) ).

cnf(i_0_300,plain,
    op2(e21,e21) = h2(e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_300) ).

cnf(i_0_585,plain,
    ( op2(e20,e20) = e20
    | op2(e23,e23) != e21
    | ~ epred8_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_585) ).

cnf(i_0_757,plain,
    ( op2(e22,e22) = e22
    | op2(e23,e22) = e22
    | epred12_0
    | ~ epred13_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_757) ).

cnf(i_0_304,plain,
    op2(e22,e22) = h3(e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_304) ).

cnf(i_0_692,plain,
    ( op2(e21,e22) = e21
    | op2(e21,e23) = e21
    | epred10_0
    | ~ epred11_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_692) ).

cnf(i_0_172,plain,
    op2(e23,e23) != op2(e20,e23),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_172) ).

cnf(i_0_649,plain,
    ( op2(e20,e21) = e21
    | epred9_0
    | op2(e21,e21) != e21
    | ~ epred10_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_649) ).

cnf(i_0_620,plain,
    ( op2(e20,e23) = e20
    | op2(e22,e20) = e20
    | epred8_0
    | ~ epred9_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_620) ).

cnf(i_0_740,plain,
    ( op2(e22,e23) = e22
    | epred12_0
    | op2(e22,e22) != e22
    | ~ epred13_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_740) ).

cnf(i_0_203,plain,
    e22 != e20,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_203) ).

cnf(i_0_771,plain,
    ( epred13_0
    | op2(e21,e21) != e20
    | op2(e23,e23) != e21
    | ~ epred14_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_771) ).

cnf(i_0_686,plain,
    ( op2(e21,e23) = e21
    | op2(e22,e21) = e21
    | epred10_0
    | ~ epred11_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_686) ).

cnf(i_0_180,plain,
    op2(e21,e22) != op2(e20,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_180) ).

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-qsqovq4l/input.p',i_0_94) ).

cnf(i_0_705,plain,
    ( epred11_0
    | op2(e21,e21) != e20
    | op2(e23,e23) != e21
    | ~ epred12_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_705) ).

cnf(i_0_279,plain,
    ( op2(e22,e23) = e23
    | op2(e23,e23) = e23
    | epred14_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_279) ).

cnf(i_0_200,plain,
    e23 != e21,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_200) ).

cnf(i_0_777,plain,
    ( epred13_0
    | op2(e20,e20) != e20
    | op2(e23,e23) != e21
    | ~ epred14_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_777) ).

cnf(i_0_152,plain,
    op2(e22,e23) != op2(e22,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_152) ).

cnf(i_0_185,plain,
    op2(e22,e21) != op2(e20,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_185) ).

cnf(i_0_202,plain,
    e23 != e20,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_202) ).

cnf(i_0_711,plain,
    ( epred11_0
    | op2(e20,e20) != e20
    | op2(e23,e23) != e21
    | ~ epred12_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_711) ).

cnf(i_0_637,plain,
    ( epred9_0
    | op2(e21,e21) != e20
    | op2(e23,e23) != e21
    | ~ epred10_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_637) ).

cnf(i_0_656,plain,
    ( op2(e21,e20) = e21
    | op2(e21,e21) = e21
    | epred9_0
    | ~ epred10_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_656) ).

cnf(i_0_794,plain,
    ( op2(e23,e20) = e23
    | op2(e23,e21) = e23
    | epred13_0
    | ~ epred14_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_794) ).

cnf(i_0_199,plain,
    e23 != e22,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_199) ).

cnf(i_0_181,plain,
    op2(e23,e21) != op2(e22,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_181) ).

cnf(i_0_87,plain,
    ( op2(e20,e21) = e20
    | op2(e21,e21) = e20
    | op2(e22,e21) = e20
    | op2(e23,e21) = e20 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_87) ).

cnf(i_0_654,plain,
    ( op2(e21,e20) = e21
    | epred9_0
    | op2(e21,e21) != e21
    | ~ epred10_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_654) ).

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-qsqovq4l/input.p',i_0_95) ).

cnf(i_0_722,plain,
    ( op2(e20,e22) = e22
    | op2(e22,e21) = e22
    | epred11_0
    | ~ epred12_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_722) ).

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-qsqovq4l/input.p',i_0_96) ).

cnf(i_0_204,plain,
    e21 != e20,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_204) ).

cnf(i_0_61,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_61) ).

cnf(i_0_201,plain,
    e22 != e21,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_201) ).

cnf(i_0_168,plain,
    op2(e20,e21) != op2(e20,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_168) ).

cnf(i_0_164,plain,
    op2(e20,e23) != op2(e20,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_164) ).

cnf(i_0_163,plain,
    op2(e20,e23) != op2(e20,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_163) ).

cnf(i_0_295,plain,
    op2(e20,op2(e20,e20)) = h1(e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_295) ).

cnf(i_0_81,plain,
    ( op2(e20,e21) = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_81) ).

cnf(i_0_165,plain,
    op2(e20,e22) != op2(e20,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_165) ).

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-qsqovq4l/input.p',i_0_62) ).

cnf(i_0_345,plain,
    ( op1(e10,e10) != e10
    | op1(e13,e13) != e11
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_345) ).

cnf(i_0_290,plain,
    op1(e13,e13) = e11,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_290) ).

cnf(i_0_289,plain,
    op1(e13,op1(e13,e13)) = e12,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_289) ).

cnf(i_0_167,plain,
    op2(e20,e22) != op2(e20,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_167) ).

cnf(i_0_668,plain,
    ( op2(e21,e23) = e21
    | epred10_0
    | op2(e22,e22) != e22
    | ~ epred11_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_668) ).

cnf(i_0_602,plain,
    ( op2(e20,e23) = e20
    | epred8_0
    | op2(e22,e22) != e22
    | ~ epred9_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_602) ).

cnf(i_0_351,plain,
    ( op1(e10,e10) = e10
    | op1(e13,e13) != e11
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_351) ).

cnf(i_0_291,plain,
    op1(op1(e13,op1(e13,e13)),e13) = e10,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_291) ).

cnf(i_0_99,plain,
    op1(e13,e12) != op1(e13,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_99) ).

cnf(i_0_245,plain,
    ( op1(e12,e13) = e13
    | op1(e13,e13) = e13
    | epred7_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_245) ).

cnf(i_0_194,plain,
    e11 != e13,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_194) ).

cnf(i_0_386,plain,
    ( op1(e10,e13) = e10
    | op1(e12,e10) = e10
    | epred1_0
    | ~ epred2_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_386) ).

cnf(i_0_125,plain,
    op1(e10,e13) != op1(e12,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_125) ).

cnf(i_0_106,plain,
    op1(e12,e10) != op1(e12,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_106) ).

cnf(i_0_368,plain,
    ( op1(e10,e13) = e10
    | epred1_0
    | op1(e12,e12) != e12
    | ~ epred2_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_368) ).

cnf(i_0_523,plain,
    ( op1(e12,e12) = e12
    | op1(e13,e12) = e12
    | epred5_0
    | ~ epred6_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_523) ).

cnf(i_0_542,plain,
    ( op1(e13,e11) = e13
    | epred6_0
    | op1(e11,e11) != e10
    | ~ epred7_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_542) ).

cnf(i_0_193,plain,
    e12 != e13,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_193) ).

cnf(i_0_196,plain,
    e10 != e13,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_196) ).

cnf(i_0_133,plain,
    op1(e12,e11) != op1(e13,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_133) ).

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-qsqovq4l/input.p',i_0_75) ).

cnf(i_0_413,plain,
    ( op1(e10,e11) = e11
    | epred2_0
    | op1(e13,e13) != e11
    | ~ epred3_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_413) ).

cnf(i_0_403,plain,
    ( epred2_0
    | op1(e11,e11) != e10
    | op1(e13,e13) != e11
    | ~ epred3_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_403) ).

cnf(i_0_471,plain,
    ( epred4_0
    | op1(e11,e11) != e10
    | op1(e13,e13) != e11
    | ~ epred5_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_471) ).

cnf(i_0_505,plain,
    ( op1(e13,e12) = e12
    | epred5_0
    | op1(e12,e12) != e12
    | ~ epred6_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_505) ).

cnf(i_0_488,plain,
    ( op1(e10,e12) = e12
    | op1(e12,e11) = e12
    | epred4_0
    | ~ epred5_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_488) ).

cnf(i_0_554,plain,
    ( op1(e10,e13) = e13
    | op1(e13,e11) = e13
    | epred6_0
    | ~ epred7_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_554) ).

cnf(i_0_145,plain,
    op2(e23,e23) != op2(e23,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_145) ).

cnf(i_0_788,plain,
    ( op2(e20,e23) = e23
    | op2(e23,e21) = e23
    | epred13_0
    | ~ epred14_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_788) ).

cnf(i_0_104,plain,
    op1(e12,e11) != op1(e12,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_104) ).

cnf(i_0_433,plain,
    ( op1(e13,e11) = e11
    | epred3_0
    | op1(e12,e12) != e12
    | ~ epred4_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_433) ).

cnf(i_0_195,plain,
    e12 != e11,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_195) ).

cnf(i_0_124,plain,
    op1(e10,e13) != op1(e13,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_124) ).

cnf(i_0_186,plain,
    op2(e21,e21) != op2(e20,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_186) ).

cnf(i_0_175,plain,
    op2(e23,e22) != op2(e22,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_175) ).

cnf(i_0_50,plain,
    ( op2(e23,e22) = e20
    | op2(e23,e22) = e21
    | op2(e23,e22) = e22
    | op2(e23,e22) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_50) ).

cnf(i_0_153,plain,
    op2(e22,e22) != op2(e22,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_153) ).

cnf(i_0_39,plain,
    ( op1(e10,e11) = e10
    | op1(e11,e11) = e10
    | op1(e12,e11) = e10
    | op1(e13,e11) = e10 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_39) ).

cnf(i_0_197,plain,
    e10 != e12,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_197) ).

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-qsqovq4l/input.p',i_0_28) ).

cnf(i_0_13,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_13) ).

cnf(i_0_457,plain,
    ( op1(e11,e12) = e11
    | op1(e13,e11) = e11
    | epred3_0
    | ~ epred4_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_457) ).

cnf(i_0_451,plain,
    ( op1(e12,e11) = e11
    | op1(e13,e11) = e11
    | epred3_0
    | ~ epred4_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_451) ).

cnf(i_0_171,plain,
    op2(e22,e23) != op2(e21,e23),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_171) ).

cnf(i_0_299,plain,
    op2(e21,op2(e21,e21)) = h2(e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_299) ).

cnf(i_0_183,plain,
    op2(e22,e21) != op2(e21,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_183) ).

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-qsqovq4l/input.p',i_0_74) ).

cnf(i_0_198,plain,
    e10 != e11,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_198) ).

cnf(i_0_141,plain,
    op1(e12,e10) != op1(e11,e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_141) ).

cnf(i_0_134,plain,
    op1(e11,e11) != op1(e13,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_134) ).

cnf(i_0_19,plain,
    ( op1(e10,e13) = e12
    | op1(e11,e13) = e12
    | op1(e12,e13) = e12
    | op1(e13,e13) = e12 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_19) ).

cnf(i_0_115,plain,
    op1(e10,e12) != op1(e10,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_115) ).

cnf(i_0_182,plain,
    op2(e23,e21) != op2(e21,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_182) ).

cnf(i_0_287,plain,
    ( op2(e20,op2(e20,e21)) = e20
    | op2(e21,op2(e21,e21)) = e21
    | op2(e22,op2(e22,e21)) = e22
    | op2(e23,op2(e23,e21)) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_287) ).

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-qsqovq4l/input.p',i_0_55) ).

cnf(i_0_187,plain,
    op2(e23,e20) != op2(e22,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_187) ).

cnf(i_0_179,plain,
    op2(e22,e22) != op2(e20,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_179) ).

cnf(i_0_178,plain,
    op2(e23,e22) != op2(e20,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_178) ).

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-qsqovq4l/input.p',i_0_72) ).

cnf(i_0_184,plain,
    op2(e23,e21) != op2(e20,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_184) ).

cnf(i_0_36,plain,
    ( op1(e11,e10) = e12
    | op1(e11,e11) = e12
    | op1(e11,e12) = e12
    | op1(e11,e13) = e12 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_36) ).

cnf(i_0_137,plain,
    op1(e10,e11) != op1(e12,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_137) ).

cnf(i_0_158,plain,
    op2(e21,e23) != op2(e21,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_158) ).

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-qsqovq4l/input.p',i_0_57) ).

cnf(i_0_59,plain,
    ( op2(e21,e21) = e20
    | op2(e21,e21) = e21
    | op2(e21,e21) = e22
    | op2(e21,e21) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_59) ).

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-qsqovq4l/input.p',i_0_76) ).

cnf(i_0_92,plain,
    ( op2(e20,e20) = e22
    | op2(e20,e21) = e22
    | op2(e20,e22) = e22
    | op2(e20,e23) = e22 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_92) ).

cnf(i_0_151,plain,
    op2(e22,e23) != op2(e22,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_151) ).

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-qsqovq4l/input.p',i_0_17) ).

cnf(i_0_136,plain,
    op1(e10,e11) != op1(e13,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_136) ).

cnf(i_0_156,plain,
    op2(e22,e21) != op2(e22,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_156) ).

cnf(i_0_54,plain,
    ( op2(e22,e22) = e20
    | op2(e22,e22) = e21
    | op2(e22,e22) = e22
    | op2(e22,e22) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_54) ).

cnf(i_0_66,plain,
    ( op2(e23,e20) = e23
    | op2(e23,e21) = e23
    | op2(e23,e22) = e23
    | op2(e23,e23) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_66) ).

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-qsqovq4l/input.p',i_0_15) ).

cnf(i_0_116,plain,
    op1(e10,e11) != op1(e10,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_116) ).

cnf(i_0_159,plain,
    op2(e21,e22) != op2(e21,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_159) ).

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-qsqovq4l/input.p',i_0_65) ).

cnf(i_0_190,plain,
    op2(e23,e20) != op2(e20,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_190) ).

cnf(i_0_177,plain,
    op2(e22,e22) != op2(e21,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_177) ).

cnf(i_0_148,plain,
    op2(e23,e23) != op2(e23,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_148) ).

cnf(i_0_285,plain,
    ( op2(e20,op2(e20,e23)) = e20
    | op2(e21,op2(e21,e23)) = e21
    | op2(e22,op2(e22,e23)) = e22
    | op2(e23,op2(e23,e23)) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_285) ).

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-qsqovq4l/input.p',i_0_67) ).

cnf(i_0_56,plain,
    ( op2(e22,e20) = e20
    | op2(e22,e20) = e21
    | op2(e22,e20) = e22
    | op2(e22,e20) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_56) ).

cnf(i_0_166,plain,
    op2(e20,e23) != op2(e20,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_166) ).

cnf(i_0_138,plain,
    op1(e10,e11) != op1(e11,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_138) ).

cnf(i_0_93,plain,
    ( op2(e20,e20) = e21
    | op2(e21,e20) = e21
    | op2(e22,e20) = e21
    | op2(e23,e20) = e21 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_93) ).

cnf(i_0_155,plain,
    op2(e22,e22) != op2(e22,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_155) ).

cnf(i_0_102,plain,
    op1(e13,e10) != op1(e13,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_102) ).

cnf(i_0_728,plain,
    ( op2(e22,e20) = e22
    | op2(e22,e21) = e22
    | epred11_0
    | ~ epred12_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_728) ).

cnf(i_0_303,plain,
    op2(e22,op2(e22,e22)) = h3(e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_303) ).

cnf(i_0_43,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12
    | op1(e13,e10) = e12 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_43) ).

cnf(i_0_112,plain,
    op1(e11,e10) != op1(e11,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_112) ).

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-qsqovq4l/input.p',i_0_46) ).

cnf(i_0_305,plain,
    op2(op2(e22,op2(e22,e22)),e22) = h3(e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_305) ).

cnf(i_0_44,plain,
    ( op1(e10,e10) = e12
    | op1(e10,e11) = e12
    | op1(e10,e12) = e12
    | op1(e10,e13) = e12 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_44) ).

cnf(i_0_126,plain,
    op1(e10,e13) != op1(e11,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_126) ).

cnf(i_0_251,plain,
    ( op1(e10,op1(e10,e13)) = e10
    | op1(e11,op1(e11,e13)) = e11
    | op1(e12,op1(e12,e13)) = e12
    | op1(e13,op1(e13,e13)) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_251) ).

cnf(i_0_89,plain,
    ( op2(e20,e20) = e23
    | op2(e21,e20) = e23
    | op2(e22,e20) = e23
    | op2(e23,e20) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_89) ).

cnf(i_0_286,plain,
    ( op2(e20,op2(e20,e22)) = e20
    | op2(e21,op2(e21,e22)) = e21
    | op2(e22,op2(e22,e22)) = e22
    | op2(e23,op2(e23,e22)) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_286) ).

cnf(i_0_79,plain,
    ( op2(e20,e22) = e20
    | op2(e21,e22) = e20
    | op2(e22,e22) = e20
    | op2(e23,e22) = e20 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_79) ).

cnf(i_0_160,plain,
    op2(e21,e23) != op2(e21,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_160) ).

cnf(i_0_149,plain,
    op2(e23,e22) != op2(e23,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_149) ).

cnf(i_0_143,plain,
    op1(e10,e10) != op1(e12,e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_143) ).

cnf(i_0_132,plain,
    op1(e10,e12) != op1(e11,e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_132) ).

cnf(i_0_162,plain,
    op2(e21,e21) != op2(e21,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_162) ).

cnf(i_0_979,plain,
    ( epred17_0
    | h3(e10) != e20
    | h3(e11) != e21
    | h3(e13) != e22
    | op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
    | op2(h3(e10),h3(e11)) != h3(op1(e10,e11))
    | op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
    | op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
    | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))
    | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))
    | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))
    | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))
    | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
    | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))
    | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
    | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
    | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
    | op2(h3(e13),h3(e11)) != h3(op1(e13,e11))
    | op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
    | op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_979) ).

cnf(i_0_306,plain,
    h3(e13) = e22,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_306) ).

cnf(i_0_176,plain,
    op2(e23,e22) != op2(e21,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_176) ).

cnf(i_0_157,plain,
    op2(e21,e23) != op2(e21,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_157) ).

cnf(i_0_316,negated_conjecture,
    ( h3(e12) != e23
    | ~ epred17_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_316) ).

cnf(i_0_30,plain,
    ( op1(e12,e10) = e11
    | op1(e12,e11) = e11
    | op1(e12,e12) = e11
    | op1(e12,e13) = e11 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_30) ).

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-qsqovq4l/input.p',i_0_7) ).

cnf(i_0_123,plain,
    op1(e12,e13) != op1(e11,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_123) ).

cnf(i_0_135,plain,
    op1(e12,e11) != op1(e11,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_135) ).

cnf(i_0_40,plain,
    ( op1(e11,e10) = e10
    | op1(e11,e11) = e10
    | op1(e11,e12) = e10
    | op1(e11,e13) = e10 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_40) ).

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-qsqovq4l/input.p',i_0_25) ).

cnf(i_0_105,plain,
    op1(e12,e12) != op1(e12,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_105) ).

cnf(i_0_188,plain,
    op2(e23,e20) != op2(e21,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_188) ).

cnf(i_0_11,plain,
    ( op1(e11,e11) = e10
    | op1(e11,e11) = e11
    | op1(e11,e11) = e12
    | op1(e11,e11) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_11) ).

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-qsqovq4l/input.p',i_0_82) ).

cnf(i_0_103,plain,
    op1(e12,e12) != op1(e12,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_103) ).

cnf(i_0_131,plain,
    op1(e10,e12) != op1(e12,e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_131) ).

cnf(i_0_18,plain,
    ( op1(e13,e10) = e13
    | op1(e13,e11) = e13
    | op1(e13,e12) = e13
    | op1(e13,e13) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_18) ).

cnf(i_0_97,plain,
    op1(e13,e12) != op1(e13,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_97) ).

cnf(i_0_174,plain,
    op2(e21,e23) != op2(e20,e23),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_174) ).

cnf(i_0_6,plain,
    ( op1(e12,e12) = e10
    | op1(e12,e12) = e11
    | op1(e12,e12) = e12
    | op1(e12,e12) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_6) ).

cnf(i_0_144,plain,
    op1(e10,e10) != op1(e11,e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_144) ).

cnf(i_0_26,plain,
    ( op1(e12,e10) = e13
    | op1(e12,e11) = e13
    | op1(e12,e12) = e13
    | op1(e12,e13) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_26) ).

cnf(i_0_2,plain,
    ( op1(e13,e12) = e10
    | op1(e13,e12) = e11
    | op1(e13,e12) = e12
    | op1(e13,e12) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_2) ).

cnf(i_0_109,plain,
    op1(e11,e12) != op1(e11,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_109) ).

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-qsqovq4l/input.p',i_0_29) ).

cnf(i_0_31,plain,
    ( op1(e10,e12) = e10
    | op1(e11,e12) = e10
    | op1(e12,e12) = e10
    | op1(e13,e12) = e10 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_31) ).

cnf(i_0_252,plain,
    ( op1(e10,op1(e10,e12)) = e10
    | op1(e11,op1(e11,e12)) = e11
    | op1(e12,op1(e12,e12)) = e12
    | op1(e13,op1(e13,e12)) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_252) ).

cnf(i_0_122,plain,
    op1(e11,e13) != op1(e13,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_122) ).

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-qsqovq4l/input.p',i_0_37) ).

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-qsqovq4l/input.p',i_0_10) ).

cnf(i_0_117,plain,
    op1(e10,e12) != op1(e10,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_117) ).

cnf(i_0_38,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e11) = e11
    | op1(e11,e12) = e11
    | op1(e11,e13) = e11 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_38) ).

cnf(i_0_253,plain,
    ( op1(e10,op1(e10,e11)) = e10
    | op1(e11,op1(e11,e11)) = e11
    | op1(e12,op1(e12,e11)) = e12
    | op1(e13,op1(e13,e11)) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_253) ).

cnf(i_0_127,plain,
    op1(e12,e12) != op1(e13,e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_127) ).

cnf(i_0_128,plain,
    op1(e11,e12) != op1(e13,e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_128) ).

cnf(i_0_111,plain,
    op1(e11,e12) != op1(e11,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qsqovq4l/input.p',i_0_111) ).

cnf(c_0_1175,plain,
    op2(e23,op2(e23,e23)) = e22,
    i_0_292 ).

cnf(c_0_1176,plain,
    op2(e23,e23) = e21,
    i_0_293 ).

cnf(c_0_1177,plain,
    op2(op2(e23,op2(e23,e23)),e23) = h4(e10),
    i_0_309 ).

cnf(c_0_1178,plain,
    op2(e23,e21) = e22,
    inference(rw,[status(thm)],[c_0_1175,c_0_1176]) ).

cnf(c_0_1179,plain,
    op2(e22,e23) != op2(e22,e20),
    i_0_154 ).

cnf(c_0_1180,plain,
    op2(e22,e23) = h4(e10),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1177,c_0_1176]),c_0_1178]) ).

cnf(c_0_1181,plain,
    op2(op2(e23,op2(e23,e23)),e23) = e20,
    i_0_294 ).

cnf(c_0_1182,plain,
    op2(e22,e23) != op2(e20,e23),
    i_0_173 ).

cnf(c_0_1183,plain,
    ( op2(e20,e20) != e20
    | op2(e23,e23) != e21
    | ~ epred8_0 ),
    i_0_579 ).

cnf(c_0_1184,plain,
    op2(e20,e20) = h1(e11),
    i_0_296 ).

cnf(c_0_1185,plain,
    op2(e23,e22) != op2(e23,e21),
    i_0_147 ).

cnf(c_0_1186,plain,
    op2(e23,e23) != op2(e21,e23),
    i_0_170 ).

cnf(c_0_1187,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | epred9_0
    | ~ epred10_0 ),
    i_0_651 ).

cnf(c_0_1188,plain,
    op2(e21,e21) = h2(e11),
    i_0_300 ).

cnf(c_0_1189,plain,
    op2(e22,e20) != h4(e10),
    inference(rw,[status(thm)],[c_0_1179,c_0_1180]) ).

cnf(c_0_1190,plain,
    h4(e10) = e20,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1181,c_0_1176]),c_0_1178]),c_0_1180]) ).

cnf(c_0_1191,plain,
    op2(e20,e23) != h4(e10),
    inference(rw,[status(thm)],[c_0_1182,c_0_1180]) ).

cnf(c_0_1192,plain,
    ( op2(e20,e20) = e20
    | op2(e23,e23) != e21
    | ~ epred8_0 ),
    i_0_585 ).

cnf(c_0_1193,plain,
    ( h1(e11) != e20
    | ~ epred8_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1183,c_0_1184]),c_0_1176])]) ).

cnf(c_0_1194,plain,
    ( op2(e22,e22) = e22
    | op2(e23,e22) = e22
    | epred12_0
    | ~ epred13_0 ),
    i_0_757 ).

cnf(c_0_1195,plain,
    op2(e22,e22) = h3(e11),
    i_0_304 ).

cnf(c_0_1196,plain,
    op2(e23,e22) != e22,
    inference(rw,[status(thm)],[c_0_1185,c_0_1178]) ).

cnf(c_0_1197,plain,
    ( op2(e21,e22) = e21
    | op2(e21,e23) = e21
    | epred10_0
    | ~ epred11_0 ),
    i_0_692 ).

cnf(c_0_1198,plain,
    op2(e21,e23) != e21,
    inference(rw,[status(thm)],[c_0_1186,c_0_1176]) ).

cnf(c_0_1199,plain,
    op2(e23,e23) != op2(e20,e23),
    i_0_172 ).

cnf(c_0_1200,plain,
    ( op2(e20,e21) = e21
    | epred9_0
    | op2(e21,e21) != e21
    | ~ epred10_0 ),
    i_0_649 ).

cnf(c_0_1201,plain,
    ( op2(e20,e21) = e21
    | h2(e11) = e21
    | epred9_0
    | ~ epred10_0 ),
    inference(rw,[status(thm)],[c_0_1187,c_0_1188]) ).

cnf(c_0_1202,plain,
    ( op2(e20,e23) = e20
    | op2(e22,e20) = e20
    | epred8_0
    | ~ epred9_0 ),
    i_0_620 ).

cnf(c_0_1203,plain,
    op2(e22,e20) != e20,
    inference(rw,[status(thm)],[c_0_1189,c_0_1190]) ).

cnf(c_0_1204,plain,
    op2(e20,e23) != e20,
    inference(rw,[status(thm)],[c_0_1191,c_0_1190]) ).

cnf(c_0_1205,plain,
    ~ epred8_0,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1192,c_0_1184]),c_0_1176])]),c_0_1193]) ).

cnf(c_0_1206,plain,
    ( op2(e22,e23) = e22
    | epred12_0
    | op2(e22,e22) != e22
    | ~ epred13_0 ),
    i_0_740 ).

cnf(c_0_1207,plain,
    e22 != e20,
    i_0_203 ).

cnf(c_0_1208,plain,
    ( h3(e11) = e22
    | epred12_0
    | ~ epred13_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1194,c_0_1195]),c_0_1196]) ).

cnf(c_0_1209,plain,
    ( epred13_0
    | op2(e21,e21) != e20
    | op2(e23,e23) != e21
    | ~ epred14_0 ),
    i_0_771 ).

cnf(c_0_1210,plain,
    ( op2(e21,e23) = e21
    | op2(e22,e21) = e21
    | epred10_0
    | ~ epred11_0 ),
    i_0_686 ).

cnf(c_0_1211,plain,
    op2(e21,e22) != op2(e20,e22),
    i_0_180 ).

cnf(c_0_1212,plain,
    ( op2(e21,e22) = e21
    | epred10_0
    | ~ epred11_0 ),
    inference(sr,[status(thm)],[c_0_1197,c_0_1198]) ).

cnf(c_0_1213,plain,
    ( op2(e20,e20) = e21
    | op2(e20,e21) = e21
    | op2(e20,e22) = e21
    | op2(e20,e23) = e21 ),
    i_0_94 ).

cnf(c_0_1214,plain,
    op2(e20,e23) != e21,
    inference(rw,[status(thm)],[c_0_1199,c_0_1176]) ).

cnf(c_0_1215,plain,
    ( op2(e20,e21) = e21
    | epred9_0
    | ~ epred10_0 ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_1200,c_0_1188]),c_0_1201]) ).

cnf(c_0_1216,plain,
    ~ epred9_0,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1202,c_0_1203]),c_0_1204]),c_0_1205]) ).

cnf(c_0_1217,plain,
    ( epred11_0
    | op2(e21,e21) != e20
    | op2(e23,e23) != e21
    | ~ epred12_0 ),
    i_0_705 ).

cnf(c_0_1218,plain,
    ( epred12_0
    | ~ epred13_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1206,c_0_1180]),c_0_1190]),c_0_1195]),c_0_1207]),c_0_1208]) ).

cnf(c_0_1219,plain,
    ( epred13_0
    | h2(e11) != e20
    | ~ epred14_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1209,c_0_1188]),c_0_1176])]) ).

cnf(c_0_1220,plain,
    ( op2(e22,e23) = e23
    | op2(e23,e23) = e23
    | epred14_0 ),
    i_0_279 ).

cnf(c_0_1221,plain,
    e23 != e21,
    i_0_200 ).

cnf(c_0_1222,plain,
    ( epred13_0
    | op2(e20,e20) != e20
    | op2(e23,e23) != e21
    | ~ epred14_0 ),
    i_0_777 ).

cnf(c_0_1223,plain,
    op2(e22,e23) != op2(e22,e21),
    i_0_152 ).

cnf(c_0_1224,plain,
    op2(e22,e21) != op2(e20,e21),
    i_0_185 ).

cnf(c_0_1225,plain,
    ( op2(e22,e21) = e21
    | epred10_0
    | ~ epred11_0 ),
    inference(sr,[status(thm)],[c_0_1210,c_0_1198]) ).

cnf(c_0_1226,plain,
    ( epred10_0
    | op2(e20,e22) != e21
    | ~ epred11_0 ),
    inference(spm,[status(thm)],[c_0_1211,c_0_1212]) ).

cnf(c_0_1227,plain,
    ( op2(e20,e22) = e21
    | op2(e20,e21) = e21
    | h1(e11) = e21 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1213,c_0_1184]),c_0_1214]) ).

cnf(c_0_1228,plain,
    ( op2(e20,e21) = e21
    | ~ epred10_0 ),
    inference(sr,[status(thm)],[c_0_1215,c_0_1216]) ).

cnf(c_0_1229,plain,
    ( epred11_0
    | h2(e11) != e20
    | ~ epred12_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1217,c_0_1188]),c_0_1176])]) ).

cnf(c_0_1230,plain,
    ( epred12_0
    | h2(e11) != e20
    | ~ epred14_0 ),
    inference(spm,[status(thm)],[c_0_1218,c_0_1219]) ).

cnf(c_0_1231,plain,
    op2(e22,e23) = e20,
    inference(rw,[status(thm)],[c_0_1180,c_0_1190]) ).

cnf(c_0_1232,plain,
    ( op2(e22,e23) = e23
    | epred14_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1220,c_0_1176]),c_0_1221]) ).

cnf(c_0_1233,plain,
    e23 != e20,
    i_0_202 ).

cnf(c_0_1234,plain,
    ( epred11_0
    | op2(e20,e20) != e20
    | op2(e23,e23) != e21
    | ~ epred12_0 ),
    i_0_711 ).

cnf(c_0_1235,plain,
    ( epred13_0
    | h1(e11) != e20
    | ~ epred14_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1222,c_0_1184]),c_0_1176])]) ).

cnf(c_0_1236,plain,
    op2(e22,e21) != h4(e10),
    inference(rw,[status(thm)],[c_0_1223,c_0_1180]) ).

cnf(c_0_1237,plain,
    ( epred9_0
    | op2(e21,e21) != e20
    | op2(e23,e23) != e21
    | ~ epred10_0 ),
    i_0_637 ).

cnf(c_0_1238,plain,
    ( epred10_0
    | op2(e20,e21) != e21
    | ~ epred11_0 ),
    inference(spm,[status(thm)],[c_0_1224,c_0_1225]) ).

cnf(c_0_1239,plain,
    ( op2(e20,e21) = e21
    | h1(e11) = e21
    | ~ epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1226,c_0_1227]),c_0_1228]) ).

cnf(c_0_1240,plain,
    ( epred11_0
    | h2(e11) != e20
    | ~ epred14_0 ),
    inference(spm,[status(thm)],[c_0_1229,c_0_1230]) ).

cnf(c_0_1241,plain,
    epred14_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1231,c_0_1232]),c_0_1233]) ).

cnf(c_0_1242,plain,
    ( op2(e21,e20) = e21
    | op2(e21,e21) = e21
    | epred9_0
    | ~ epred10_0 ),
    i_0_656 ).

cnf(c_0_1243,plain,
    ( op2(e23,e20) = e23
    | op2(e23,e21) = e23
    | epred13_0
    | ~ epred14_0 ),
    i_0_794 ).

cnf(c_0_1244,plain,
    e23 != e22,
    i_0_199 ).

cnf(c_0_1245,plain,
    op2(e23,e21) != op2(e22,e21),
    i_0_181 ).

cnf(c_0_1246,plain,
    ( epred11_0
    | h1(e11) != e20
    | ~ epred12_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1234,c_0_1184]),c_0_1176])]) ).

cnf(c_0_1247,plain,
    ( epred12_0
    | h1(e11) != e20
    | ~ epred14_0 ),
    inference(spm,[status(thm)],[c_0_1218,c_0_1235]) ).

cnf(c_0_1248,plain,
    ( op2(e20,e21) = e20
    | op2(e21,e21) = e20
    | op2(e22,e21) = e20
    | op2(e23,e21) = e20 ),
    i_0_87 ).

cnf(c_0_1249,plain,
    op2(e22,e21) != e20,
    inference(rw,[status(thm)],[c_0_1236,c_0_1190]) ).

cnf(c_0_1250,plain,
    ( epred9_0
    | h2(e11) != e20
    | ~ epred10_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1237,c_0_1188]),c_0_1176])]) ).

cnf(c_0_1251,plain,
    ( h1(e11) = e21
    | epred10_0
    | ~ epred11_0 ),
    inference(spm,[status(thm)],[c_0_1238,c_0_1239]) ).

cnf(c_0_1252,plain,
    ( epred11_0
    | h2(e11) != e20 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1240,c_0_1241])]) ).

cnf(c_0_1253,plain,
    ( op2(e21,e20) = e21
    | epred9_0
    | op2(e21,e21) != e21
    | ~ epred10_0 ),
    i_0_654 ).

cnf(c_0_1254,plain,
    ( op2(e21,e20) = e21
    | h2(e11) = e21
    | epred9_0
    | ~ epred10_0 ),
    inference(rw,[status(thm)],[c_0_1242,c_0_1188]) ).

cnf(c_0_1255,plain,
    ( op2(e23,e20) = e23
    | epred13_0
    | ~ epred14_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1243,c_0_1178]),c_0_1244]) ).

cnf(c_0_1256,plain,
    ( op2(e20,e20) = e20
    | op2(e21,e20) = e20
    | op2(e22,e20) = e20
    | op2(e23,e20) = e20 ),
    i_0_95 ).

cnf(c_0_1257,plain,
    ( op2(e20,e22) = e22
    | op2(e22,e21) = e22
    | epred11_0
    | ~ epred12_0 ),
    i_0_722 ).

cnf(c_0_1258,plain,
    op2(e22,e21) != e22,
    inference(rw,[status(thm)],[c_0_1245,c_0_1178]) ).

cnf(c_0_1259,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    i_0_96 ).

cnf(c_0_1260,plain,
    ( epred11_0
    | h1(e11) != e20
    | ~ epred14_0 ),
    inference(spm,[status(thm)],[c_0_1246,c_0_1247]) ).

cnf(c_0_1261,plain,
    ( op2(e20,e21) = e20
    | h2(e11) = e20 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1248,c_0_1188]),c_0_1178]),c_0_1249]),c_0_1207]) ).

cnf(c_0_1262,plain,
    e21 != e20,
    i_0_204 ).

cnf(c_0_1263,plain,
    ( h1(e11) = e21
    | h2(e11) != e20 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1250,c_0_1251]),c_0_1216]),c_0_1252]) ).

cnf(c_0_1264,plain,
    ( op2(e21,e20) = e21
    | epred9_0
    | ~ epred10_0 ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_1253,c_0_1188]),c_0_1254]) ).

cnf(c_0_1265,plain,
    ( op2(e23,e20) = e23
    | epred13_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1255,c_0_1241])]) ).

cnf(c_0_1266,plain,
    ( op2(e23,e20) = e20
    | op2(e21,e20) = e20
    | h1(e11) = e20 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1256,c_0_1184]),c_0_1203]) ).

cnf(c_0_1267,plain,
    ( epred13_0
    | h1(e11) != e20 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1235,c_0_1241])]) ).

cnf(c_0_1268,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    i_0_61 ).

cnf(c_0_1269,plain,
    ( op2(e20,e22) = e22
    | epred11_0
    | ~ epred12_0 ),
    inference(sr,[status(thm)],[c_0_1257,c_0_1258]) ).

cnf(c_0_1270,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e21) = e20
    | h1(e11) = e20 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1259,c_0_1184]),c_0_1204]) ).

cnf(c_0_1271,plain,
    ( epred11_0
    | h1(e11) != e20 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1260,c_0_1241])]) ).

cnf(c_0_1272,plain,
    e22 != e21,
    i_0_201 ).

cnf(c_0_1273,plain,
    ( h1(e11) = e21
    | ~ epred11_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1261,c_0_1239]),c_0_1262]),c_0_1263]) ).

cnf(c_0_1274,plain,
    ( op2(e21,e20) = e21
    | ~ epred10_0 ),
    inference(sr,[status(thm)],[c_0_1264,c_0_1216]) ).

cnf(c_0_1275,plain,
    ( op2(e21,e20) = e20
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1265,c_0_1266]),c_0_1233]),c_0_1267]) ).

cnf(c_0_1276,plain,
    op2(e20,e21) != op2(e20,e20),
    i_0_168 ).

cnf(c_0_1277,plain,
    op2(e20,e23) != op2(e20,e21),
    i_0_164 ).

cnf(c_0_1278,plain,
    ( op2(e20,e23) = e23
    | op2(e20,e23) = e22 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1268,c_0_1204]),c_0_1214]) ).

cnf(c_0_1279,plain,
    ( op2(e20,e21) = e20
    | epred11_0
    | ~ epred12_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1269,c_0_1270]),c_0_1207]),c_0_1271]) ).

cnf(c_0_1280,plain,
    ( op2(e20,e21) = e21
    | h1(e11) = e21
    | ~ epred12_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1269,c_0_1227]),c_0_1272]),c_0_1273]) ).

cnf(c_0_1281,plain,
    ( epred13_0
    | ~ epred10_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1274,c_0_1275]),c_0_1262]) ).

cnf(c_0_1282,plain,
    op2(e20,e21) != h1(e11),
    inference(rw,[status(thm)],[c_0_1276,c_0_1184]) ).

cnf(c_0_1283,plain,
    op2(e20,e23) != op2(e20,e22),
    i_0_163 ).

cnf(c_0_1284,plain,
    ( op2(e20,e23) = e22
    | op2(e20,e21) != e23 ),
    inference(spm,[status(thm)],[c_0_1277,c_0_1278]) ).

cnf(c_0_1285,plain,
    op2(e20,op2(e20,e20)) = h1(e12),
    i_0_295 ).

cnf(c_0_1286,plain,
    ( op2(e20,e21) = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    i_0_81 ).

cnf(c_0_1287,plain,
    ( h1(e11) = e21
    | ~ epred12_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1279,c_0_1280]),c_0_1262]),c_0_1273]) ).

cnf(c_0_1288,plain,
    ( epred12_0
    | ~ epred10_0 ),
    inference(spm,[status(thm)],[c_0_1218,c_0_1281]) ).

cnf(c_0_1289,plain,
    ( h1(e11) != e21
    | ~ epred10_0 ),
    inference(spm,[status(thm)],[c_0_1282,c_0_1228]) ).

cnf(c_0_1290,plain,
    op2(e20,e22) != op2(e20,e21),
    i_0_165 ).

cnf(c_0_1291,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e22) = e21
    | op2(e20,e22) = e22
    | op2(e20,e22) = e23 ),
    i_0_62 ).

cnf(c_0_1292,plain,
    ( op2(e20,e22) != e22
    | op2(e20,e21) != e23 ),
    inference(spm,[status(thm)],[c_0_1283,c_0_1284]) ).

cnf(c_0_1293,plain,
    op2(e20,h1(e11)) = h1(e12),
    inference(rw,[status(thm)],[c_0_1285,c_0_1184]) ).

cnf(c_0_1294,plain,
    ( op2(e22,e21) = e23
    | op2(e20,e21) = e23
    | h2(e11) = e23 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1286,c_0_1188]),c_0_1178]),c_0_1244]) ).

cnf(c_0_1295,plain,
    ~ epred10_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1287,c_0_1288]),c_0_1289]) ).

cnf(c_0_1296,plain,
    ( op1(e10,e10) != e10
    | op1(e13,e13) != e11
    | ~ epred1_0 ),
    i_0_345 ).

cnf(c_0_1297,plain,
    op1(e13,e13) = e11,
    i_0_290 ).

cnf(c_0_1298,plain,
    op1(e13,op1(e13,e13)) = e12,
    i_0_289 ).

cnf(c_0_1299,plain,
    op2(e20,e22) != op2(e20,e20),
    i_0_167 ).

cnf(c_0_1300,plain,
    ( op2(e20,e22) = e21
    | op2(e20,e22) = e20
    | op2(e20,e21) != e23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1290,c_0_1291]),c_0_1292]) ).

cnf(c_0_1301,plain,
    ( op2(e20,e21) = h1(e12)
    | ~ epred11_0 ),
    inference(spm,[status(thm)],[c_0_1293,c_0_1273]) ).

cnf(c_0_1302,plain,
    ( op2(e20,e21) = e23
    | h2(e11) = e23
    | ~ epred11_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1225,c_0_1294]),c_0_1221]),c_0_1295]) ).

cnf(c_0_1303,plain,
    ( op2(e21,e23) = e21
    | epred10_0
    | op2(e22,e22) != e22
    | ~ epred11_0 ),
    i_0_668 ).

cnf(c_0_1304,plain,
    ( op2(e20,e23) = e20
    | epred8_0
    | op2(e22,e22) != e22
    | ~ epred9_0 ),
    i_0_602 ).

cnf(c_0_1305,plain,
    ( op1(e10,e10) = e10
    | op1(e13,e13) != e11
    | ~ epred1_0 ),
    i_0_351 ).

cnf(c_0_1306,plain,
    ( op1(e10,e10) != e10
    | ~ epred1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1296,c_0_1297])]) ).

cnf(c_0_1307,plain,
    op1(op1(e13,op1(e13,e13)),e13) = e10,
    i_0_291 ).

cnf(c_0_1308,plain,
    op1(e13,e11) = e12,
    inference(rw,[status(thm)],[c_0_1298,c_0_1297]) ).

cnf(c_0_1309,plain,
    op1(e13,e12) != op1(e13,e11),
    i_0_99 ).

cnf(c_0_1310,plain,
    ( op1(e12,e13) = e13
    | op1(e13,e13) = e13
    | epred7_0 ),
    i_0_245 ).

cnf(c_0_1311,plain,
    e11 != e13,
    i_0_194 ).

cnf(c_0_1312,plain,
    op2(e20,e22) != h1(e11),
    inference(rw,[status(thm)],[c_0_1299,c_0_1184]) ).

cnf(c_0_1313,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e21) != e23
    | ~ epred11_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1226,c_0_1300]),c_0_1295]) ).

cnf(c_0_1314,plain,
    ( h2(e11) = e20
    | h1(e11) != e20 ),
    inference(spm,[status(thm)],[c_0_1282,c_0_1261]) ).

cnf(c_0_1315,plain,
    ( h2(e11) = e23
    | h1(e12) = e23
    | ~ epred11_0 ),
    inference(spm,[status(thm)],[c_0_1301,c_0_1302]) ).

cnf(c_0_1316,plain,
    ( epred10_0
    | h3(e11) != e22
    | ~ epred11_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1303,c_0_1195]),c_0_1198]) ).

cnf(c_0_1317,plain,
    ( h3(e11) != e22
    | ~ epred9_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1304,c_0_1195]),c_0_1204]),c_0_1205]) ).

cnf(c_0_1318,plain,
    ( op1(e10,e13) = e10
    | op1(e12,e10) = e10
    | epred1_0
    | ~ epred2_0 ),
    i_0_386 ).

cnf(c_0_1319,plain,
    ~ epred1_0,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1305,c_0_1297])]),c_0_1306]) ).

cnf(c_0_1320,plain,
    op1(e10,e13) != op1(e12,e13),
    i_0_125 ).

cnf(c_0_1321,plain,
    op1(e12,e13) = e10,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1307,c_0_1297]),c_0_1308]) ).

cnf(c_0_1322,plain,
    op1(e12,e10) != op1(e12,e13),
    i_0_106 ).

cnf(c_0_1323,plain,
    ( op1(e10,e13) = e10
    | epred1_0
    | op1(e12,e12) != e12
    | ~ epred2_0 ),
    i_0_368 ).

cnf(c_0_1324,plain,
    ( op1(e12,e12) = e12
    | op1(e13,e12) = e12
    | epred5_0
    | ~ epred6_0 ),
    i_0_523 ).

cnf(c_0_1325,plain,
    op1(e13,e12) != e12,
    inference(rw,[status(thm)],[c_0_1309,c_0_1308]) ).

cnf(c_0_1326,plain,
    ( op1(e13,e11) = e13
    | epred6_0
    | op1(e11,e11) != e10
    | ~ epred7_0 ),
    i_0_542 ).

cnf(c_0_1327,plain,
    e12 != e13,
    i_0_193 ).

cnf(c_0_1328,plain,
    ( op1(e12,e13) = e13
    | epred7_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1310,c_0_1297]),c_0_1311]) ).

cnf(c_0_1329,plain,
    e10 != e13,
    i_0_196 ).

cnf(c_0_1330,plain,
    op1(e12,e11) != op1(e13,e11),
    i_0_133 ).

cnf(c_0_1331,plain,
    ( op2(e20,e21) != e23
    | h1(e11) != e20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1312,c_0_1313]),c_0_1271]) ).

cnf(c_0_1332,plain,
    ( h1(e12) = e23
    | h1(e11) != e20 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1314,c_0_1315]),c_0_1233]),c_0_1271]) ).

cnf(c_0_1333,plain,
    ( op2(e20,e22) = e22
    | op2(e21,e22) = e22
    | op2(e22,e22) = e22
    | op2(e23,e22) = e22 ),
    i_0_75 ).

cnf(c_0_1334,plain,
    ( h2(e11) = e20
    | ~ epred10_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1261,c_0_1228]),c_0_1262]) ).

cnf(c_0_1335,plain,
    ( h2(e11) != e20
    | h3(e11) != e22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1250,c_0_1316]),c_0_1252]),c_0_1317]) ).

cnf(c_0_1336,plain,
    ( op1(e10,e13) = e10
    | op1(e12,e10) = e10
    | ~ epred2_0 ),
    inference(sr,[status(thm)],[c_0_1318,c_0_1319]) ).

cnf(c_0_1337,plain,
    op1(e10,e13) != e10,
    inference(rw,[status(thm)],[c_0_1320,c_0_1321]) ).

cnf(c_0_1338,plain,
    op1(e12,e10) != e10,
    inference(rw,[status(thm)],[c_0_1322,c_0_1321]) ).

cnf(c_0_1339,plain,
    ( op1(e10,e11) = e11
    | epred2_0
    | op1(e13,e13) != e11
    | ~ epred3_0 ),
    i_0_413 ).

cnf(c_0_1340,plain,
    ( op1(e10,e13) = e10
    | op1(e12,e12) != e12
    | ~ epred2_0 ),
    inference(sr,[status(thm)],[c_0_1323,c_0_1319]) ).

cnf(c_0_1341,plain,
    ( epred2_0
    | op1(e11,e11) != e10
    | op1(e13,e13) != e11
    | ~ epred3_0 ),
    i_0_403 ).

cnf(c_0_1342,plain,
    ( epred4_0
    | op1(e11,e11) != e10
    | op1(e13,e13) != e11
    | ~ epred5_0 ),
    i_0_471 ).

cnf(c_0_1343,plain,
    ( op1(e13,e12) = e12
    | epred5_0
    | op1(e12,e12) != e12
    | ~ epred6_0 ),
    i_0_505 ).

cnf(c_0_1344,plain,
    ( op1(e12,e12) = e12
    | epred5_0
    | ~ epred6_0 ),
    inference(sr,[status(thm)],[c_0_1324,c_0_1325]) ).

cnf(c_0_1345,plain,
    ( epred6_0
    | op1(e11,e11) != e10
    | ~ epred7_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1326,c_0_1308]),c_0_1327]) ).

cnf(c_0_1346,plain,
    epred7_0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1328,c_0_1321]),c_0_1329]) ).

cnf(c_0_1347,plain,
    ( op1(e10,e12) = e12
    | op1(e12,e11) = e12
    | epred4_0
    | ~ epred5_0 ),
    i_0_488 ).

cnf(c_0_1348,plain,
    op1(e12,e11) != e12,
    inference(rw,[status(thm)],[c_0_1330,c_0_1308]) ).

cnf(c_0_1349,plain,
    ( op1(e10,e13) = e13
    | op1(e13,e11) = e13
    | epred6_0
    | ~ epred7_0 ),
    i_0_554 ).

cnf(c_0_1350,plain,
    h1(e11) != e20,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1331,c_0_1301]),c_0_1271]),c_0_1332]) ).

cnf(c_0_1351,plain,
    ( op2(e21,e22) = e22
    | op2(e20,e22) = e22
    | h3(e11) = e22 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1333,c_0_1195]),c_0_1196]) ).

cnf(c_0_1352,plain,
    ( h3(e11) != e22
    | ~ epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1334,c_0_1316]),c_0_1335]) ).

cnf(c_0_1353,plain,
    op2(e23,e23) != op2(e23,e22),
    i_0_145 ).

cnf(c_0_1354,plain,
    ( op2(e20,e23) = e23
    | op2(e23,e21) = e23
    | epred13_0
    | ~ epred14_0 ),
    i_0_788 ).

cnf(c_0_1355,plain,
    op1(e12,e11) != op1(e12,e13),
    i_0_104 ).

cnf(c_0_1356,plain,
    ~ epred2_0,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1336,c_0_1337]),c_0_1338]) ).

cnf(c_0_1357,plain,
    ( op1(e10,e11) = e11
    | epred2_0
    | ~ epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1339,c_0_1297])]) ).

cnf(c_0_1358,plain,
    ( op1(e13,e11) = e11
    | epred3_0
    | op1(e12,e12) != e12
    | ~ epred4_0 ),
    i_0_433 ).

cnf(c_0_1359,plain,
    e12 != e11,
    i_0_195 ).

cnf(c_0_1360,plain,
    ( op1(e12,e12) != e12
    | ~ epred2_0 ),
    inference(sr,[status(thm)],[c_0_1340,c_0_1337]) ).

cnf(c_0_1361,plain,
    ( epred2_0
    | op1(e11,e11) != e10
    | ~ epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1341,c_0_1297])]) ).

cnf(c_0_1362,plain,
    ( epred4_0
    | op1(e11,e11) != e10
    | ~ epred5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1342,c_0_1297])]) ).

cnf(c_0_1363,plain,
    ( epred5_0
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_1343,c_0_1325]),c_0_1344]) ).

cnf(c_0_1364,plain,
    ( epred6_0
    | op1(e11,e11) != e10 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1345,c_0_1346])]) ).

cnf(c_0_1365,plain,
    ( op1(e10,e12) = e12
    | epred4_0
    | ~ epred5_0 ),
    inference(sr,[status(thm)],[c_0_1347,c_0_1348]) ).

cnf(c_0_1366,plain,
    ( op1(e10,e13) = e13
    | epred6_0
    | ~ epred7_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1349,c_0_1308]),c_0_1327]) ).

cnf(c_0_1367,plain,
    op1(e10,e13) != op1(e13,e13),
    i_0_124 ).

cnf(c_0_1368,plain,
    op2(e21,e21) != op2(e20,e21),
    i_0_186 ).

cnf(c_0_1369,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e21) = e20 ),
    inference(sr,[status(thm)],[c_0_1270,c_0_1350]) ).

cnf(c_0_1370,plain,
    ( op2(e20,e22) = e22
    | ~ epred11_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1212,c_0_1351]),c_0_1272]),c_0_1295]),c_0_1352]) ).

cnf(c_0_1371,plain,
    op2(e23,e22) != op2(e22,e22),
    i_0_175 ).

cnf(c_0_1372,plain,
    ( op2(e23,e22) = e20
    | op2(e23,e22) = e21
    | op2(e23,e22) = e22
    | op2(e23,e22) = e23 ),
    i_0_50 ).

cnf(c_0_1373,plain,
    op2(e23,e22) != e21,
    inference(rw,[status(thm)],[c_0_1353,c_0_1176]) ).

cnf(c_0_1374,plain,
    ( op2(e20,e23) = e23
    | epred13_0
    | ~ epred14_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1354,c_0_1178]),c_0_1244]) ).

cnf(c_0_1375,plain,
    op2(e22,e22) != op2(e22,e21),
    i_0_153 ).

cnf(c_0_1376,plain,
    ( op1(e10,e11) = e10
    | op1(e11,e11) = e10
    | op1(e12,e11) = e10
    | op1(e13,e11) = e10 ),
    i_0_39 ).

cnf(c_0_1377,plain,
    e10 != e12,
    i_0_197 ).

cnf(c_0_1378,plain,
    op1(e12,e11) != e10,
    inference(rw,[status(thm)],[c_0_1355,c_0_1321]) ).

cnf(c_0_1379,plain,
    ( op1(e10,e11) = e11
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_1356,c_0_1357]) ).

cnf(c_0_1380,plain,
    ( epred3_0
    | op1(e12,e12) != e12
    | ~ epred4_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1358,c_0_1308]),c_0_1359]) ).

cnf(c_0_1381,plain,
    ( op1(e12,e12) != e12
    | op1(e11,e11) != e10
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_1360,c_0_1361]) ).

cnf(c_0_1382,plain,
    ( epred4_0
    | op1(e11,e11) != e10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1362,c_0_1363]),c_0_1364]) ).

cnf(c_0_1383,plain,
    ( op1(e12,e10) = e12
    | op1(e12,e11) = e12
    | op1(e12,e12) = e12
    | op1(e12,e13) = e12 ),
    i_0_28 ).

cnf(c_0_1384,plain,
    ( op1(e10,e12) = e12
    | epred4_0
    | ~ epred6_0 ),
    inference(spm,[status(thm)],[c_0_1365,c_0_1363]) ).

cnf(c_0_1385,plain,
    ( op1(e10,e13) = e13
    | epred6_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1366,c_0_1346])]) ).

cnf(c_0_1386,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    i_0_13 ).

cnf(c_0_1387,plain,
    op1(e10,e13) != e11,
    inference(rw,[status(thm)],[c_0_1367,c_0_1297]) ).

cnf(c_0_1388,plain,
    ( op1(e11,e12) = e11
    | op1(e13,e11) = e11
    | epred3_0
    | ~ epred4_0 ),
    i_0_457 ).

cnf(c_0_1389,plain,
    ( op1(e12,e11) = e11
    | op1(e13,e11) = e11
    | epred3_0
    | ~ epred4_0 ),
    i_0_451 ).

cnf(c_0_1390,plain,
    op2(e22,e23) != op2(e21,e23),
    i_0_171 ).

cnf(c_0_1391,plain,
    op2(e21,op2(e21,e21)) = h2(e12),
    i_0_299 ).

cnf(c_0_1392,plain,
    op2(e20,e21) != h2(e11),
    inference(rw,[status(thm)],[c_0_1368,c_0_1188]) ).

cnf(c_0_1393,plain,
    ( op2(e20,e21) = e20
    | ~ epred11_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1369,c_0_1370]),c_0_1207]) ).

cnf(c_0_1394,plain,
    op2(e22,e21) != op2(e21,e21),
    i_0_183 ).

cnf(c_0_1395,plain,
    ( op2(e22,e20) = e23
    | op2(e22,e21) = e23
    | op2(e22,e22) = e23
    | op2(e22,e23) = e23 ),
    i_0_74 ).

cnf(c_0_1396,plain,
    op2(e23,e22) != h3(e11),
    inference(rw,[status(thm)],[c_0_1371,c_0_1195]) ).

cnf(c_0_1397,plain,
    ( op2(e23,e22) = e23
    | op2(e23,e22) = e20 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1372,c_0_1373]),c_0_1196]) ).

cnf(c_0_1398,plain,
    ( op2(e20,e23) = e23
    | epred13_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1374,c_0_1241])]) ).

cnf(c_0_1399,plain,
    op2(e22,e21) != h3(e11),
    inference(rw,[status(thm)],[c_0_1375,c_0_1195]) ).

cnf(c_0_1400,plain,
    ( op1(e10,e11) = e10
    | op1(e11,e11) = e10 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1376,c_0_1308]),c_0_1377]),c_0_1378]) ).

cnf(c_0_1401,plain,
    ( op1(e10,e11) = e11
    | op1(e12,e12) != e12
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_1379,c_0_1380]) ).

cnf(c_0_1402,plain,
    e10 != e11,
    i_0_198 ).

cnf(c_0_1403,plain,
    ( op1(e12,e12) != e12
    | op1(e11,e11) != e10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1381,c_0_1380]),c_0_1382]) ).

cnf(c_0_1404,plain,
    op1(e12,e10) != op1(e11,e10),
    i_0_141 ).

cnf(c_0_1405,plain,
    ( op1(e12,e10) = e12
    | op1(e12,e12) = e12 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1383,c_0_1321]),c_0_1377]),c_0_1348]) ).

cnf(c_0_1406,plain,
    op1(e11,e11) != op1(e13,e11),
    i_0_134 ).

cnf(c_0_1407,plain,
    ( op1(e10,e13) = e12
    | op1(e11,e13) = e12
    | op1(e12,e13) = e12
    | op1(e13,e13) = e12 ),
    i_0_19 ).

cnf(c_0_1408,plain,
    op1(e10,e12) != op1(e10,e13),
    i_0_115 ).

cnf(c_0_1409,plain,
    ( op1(e10,e13) = e13
    | op1(e10,e12) = e12
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_1384,c_0_1385]) ).

cnf(c_0_1410,plain,
    ( op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1386,c_0_1387]),c_0_1337]) ).

cnf(c_0_1411,plain,
    ( op1(e11,e12) = e11
    | epred3_0
    | ~ epred4_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1388,c_0_1308]),c_0_1359]) ).

cnf(c_0_1412,plain,
    ( op1(e12,e11) = e11
    | epred3_0
    | ~ epred4_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1389,c_0_1308]),c_0_1359]) ).

cnf(c_0_1413,plain,
    ( op1(e11,e11) != e10
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_1356,c_0_1361]) ).

cnf(c_0_1414,plain,
    op2(e21,e23) != h4(e10),
    inference(rw,[status(thm)],[c_0_1390,c_0_1180]) ).

cnf(c_0_1415,plain,
    op2(e23,e21) != op2(e21,e21),
    i_0_182 ).

cnf(c_0_1416,plain,
    ( op2(e20,op2(e20,e21)) = e20
    | op2(e21,op2(e21,e21)) = e21
    | op2(e22,op2(e22,e21)) = e22
    | op2(e23,op2(e23,e21)) = e23 ),
    i_0_287 ).

cnf(c_0_1417,plain,
    op2(e21,h2(e11)) = h2(e12),
    inference(rw,[status(thm)],[c_0_1391,c_0_1188]) ).

cnf(c_0_1418,plain,
    h2(e11) != e20,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1392,c_0_1393]),c_0_1252]) ).

cnf(c_0_1419,plain,
    ( op2(e22,e21) = e20
    | op2(e22,e21) = e21
    | op2(e22,e21) = e22
    | op2(e22,e21) = e23 ),
    i_0_55 ).

cnf(c_0_1420,plain,
    op2(e23,e20) != op2(e22,e20),
    i_0_187 ).

cnf(c_0_1421,plain,
    op2(e22,e21) != h2(e11),
    inference(rw,[status(thm)],[c_0_1394,c_0_1188]) ).

cnf(c_0_1422,plain,
    ( op2(e22,e21) = e23
    | op2(e22,e20) = e23
    | h3(e11) = e23 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1395,c_0_1195]),c_0_1180]),c_0_1190]),c_0_1233]) ).

cnf(c_0_1423,plain,
    op2(e22,e22) != op2(e20,e22),
    i_0_179 ).

cnf(c_0_1424,plain,
    op2(e23,e22) != op2(e20,e22),
    i_0_178 ).

cnf(c_0_1425,plain,
    ( op2(e23,e22) = e20
    | h3(e11) != e23 ),
    inference(spm,[status(thm)],[c_0_1396,c_0_1397]) ).

cnf(c_0_1426,plain,
    ( epred13_0
    | op2(e20,e21) != e23 ),
    inference(spm,[status(thm)],[c_0_1277,c_0_1398]) ).

cnf(c_0_1427,plain,
    ( op2(e20,e21) = e23
    | h2(e11) = e23
    | h3(e11) != e23 ),
    inference(spm,[status(thm)],[c_0_1399,c_0_1294]) ).

cnf(c_0_1428,plain,
    ( op2(e23,e20) = e20
    | op2(e23,e21) = e20
    | op2(e23,e22) = e20
    | op2(e23,e23) = e20 ),
    i_0_72 ).

cnf(c_0_1429,plain,
    op2(e23,e21) != op2(e20,e21),
    i_0_184 ).

cnf(c_0_1430,plain,
    ( op1(e12,e12) != e12
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1400,c_0_1401]),c_0_1402]),c_0_1403]) ).

cnf(c_0_1431,plain,
    ( op1(e12,e12) = e12
    | op1(e11,e10) != e12 ),
    inference(spm,[status(thm)],[c_0_1404,c_0_1405]) ).

cnf(c_0_1432,plain,
    ( op1(e11,e10) = e12
    | op1(e11,e11) = e12
    | op1(e11,e12) = e12
    | op1(e11,e13) = e12 ),
    i_0_36 ).

cnf(c_0_1433,plain,
    op1(e11,e11) != e12,
    inference(rw,[status(thm)],[c_0_1406,c_0_1308]) ).

cnf(c_0_1434,plain,
    ( op1(e10,e13) = e12
    | op1(e11,e13) = e12 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1407,c_0_1297]),c_0_1321]),c_0_1359]),c_0_1377]) ).

cnf(c_0_1435,plain,
    ( op1(e10,e13) = e13
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1408,c_0_1409]),c_0_1410]) ).

cnf(c_0_1436,plain,
    op1(e10,e11) != op1(e12,e11),
    i_0_137 ).

cnf(c_0_1437,plain,
    ( op1(e11,e12) = e11
    | op1(e10,e11) = e11
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_1379,c_0_1411]) ).

cnf(c_0_1438,plain,
    ( op1(e12,e11) = e11
    | op1(e10,e11) = e11
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_1379,c_0_1412]) ).

cnf(c_0_1439,plain,
    ( op1(e12,e11) = e11
    | op1(e11,e11) != e10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1413,c_0_1412]),c_0_1382]) ).

cnf(c_0_1440,plain,
    op2(e21,e23) != op2(e21,e21),
    i_0_158 ).

cnf(c_0_1441,plain,
    ( op2(e21,e23) = e20
    | op2(e21,e23) = e21
    | op2(e21,e23) = e22
    | op2(e21,e23) = e23 ),
    i_0_57 ).

cnf(c_0_1442,plain,
    op2(e21,e23) != e20,
    inference(rw,[status(thm)],[c_0_1414,c_0_1190]) ).

cnf(c_0_1443,plain,
    ( op2(e21,e21) = e20
    | op2(e21,e21) = e21
    | op2(e21,e21) = e22
    | op2(e21,e21) = e23 ),
    i_0_59 ).

cnf(c_0_1444,plain,
    h2(e11) != e22,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1415,c_0_1178]),c_0_1188]) ).

cnf(c_0_1445,plain,
    ( op2(e22,op2(e22,e21)) = e22
    | op2(e20,op2(e20,e21)) = e20
    | op2(e23,e22) = e23
    | h2(e12) = e21 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1416,c_0_1188]),c_0_1417]),c_0_1178]) ).

cnf(c_0_1446,plain,
    op2(e20,e21) = e20,
    inference(sr,[status(thm)],[c_0_1261,c_0_1418]) ).

cnf(c_0_1447,plain,
    ( op2(e22,e21) = e23
    | op2(e22,e21) = e21 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1419,c_0_1249]),c_0_1258]) ).

cnf(c_0_1448,plain,
    ( epred13_0
    | op2(e22,e20) != e23 ),
    inference(spm,[status(thm)],[c_0_1420,c_0_1265]) ).

cnf(c_0_1449,plain,
    ( op2(e22,e20) = e23
    | h3(e11) = e23
    | h2(e11) != e23 ),
    inference(spm,[status(thm)],[c_0_1421,c_0_1422]) ).

cnf(c_0_1450,plain,
    ( op2(e22,e20) = e22
    | op2(e22,e21) = e22
    | op2(e22,e22) = e22
    | op2(e22,e23) = e22 ),
    i_0_76 ).

cnf(c_0_1451,plain,
    op2(e20,e22) != h3(e11),
    inference(rw,[status(thm)],[c_0_1423,c_0_1195]) ).

cnf(c_0_1452,plain,
    ( op2(e20,e22) != e20
    | h3(e11) != e23 ),
    inference(spm,[status(thm)],[c_0_1424,c_0_1425]) ).

cnf(c_0_1453,plain,
    ( h2(e11) = e23
    | epred13_0
    | h3(e11) != e23 ),
    inference(spm,[status(thm)],[c_0_1426,c_0_1427]) ).

cnf(c_0_1454,plain,
    ( op2(e23,e22) = e20
    | op2(e23,e20) = e20 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1428,c_0_1178]),c_0_1176]),c_0_1207]),c_0_1262]) ).

cnf(c_0_1455,plain,
    ( op2(e20,e20) = e22
    | op2(e20,e21) = e22
    | op2(e20,e22) = e22
    | op2(e20,e23) = e22 ),
    i_0_92 ).

cnf(c_0_1456,plain,
    op2(e20,e21) != e22,
    inference(rw,[status(thm)],[c_0_1429,c_0_1178]) ).

cnf(c_0_1457,plain,
    op2(e22,e23) != op2(e22,e22),
    i_0_151 ).

cnf(c_0_1458,plain,
    ( op1(e11,e10) != e12
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_1430,c_0_1431]) ).

cnf(c_0_1459,plain,
    ( op1(e11,e10) = e12
    | op1(e11,e12) = e12
    | op1(e11,e13) = e12 ),
    inference(sr,[status(thm)],[c_0_1432,c_0_1433]) ).

cnf(c_0_1460,plain,
    ( op1(e11,e13) = e12
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1434,c_0_1435]),c_0_1327]) ).

cnf(c_0_1461,plain,
    ( op1(e11,e12) = e11
    | op1(e12,e11) != e11
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_1436,c_0_1437]) ).

cnf(c_0_1462,plain,
    ( op1(e12,e11) = e11
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1400,c_0_1438]),c_0_1402]),c_0_1439]) ).

cnf(c_0_1463,plain,
    op2(e21,e23) != h2(e11),
    inference(rw,[status(thm)],[c_0_1440,c_0_1188]) ).

cnf(c_0_1464,plain,
    ( op2(e21,e23) = e23
    | op2(e21,e23) = e22 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1441,c_0_1442]),c_0_1198]) ).

cnf(c_0_1465,plain,
    ( h2(e11) = e23
    | h2(e11) = e21
    | h2(e11) = e20 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1443,c_0_1188]),c_0_1188]),c_0_1188]),c_0_1188]),c_0_1444]) ).

cnf(c_0_1466,plain,
    ( op2(e22,op2(e22,e21)) = e22
    | op2(e23,e22) = e23
    | h2(e12) = e21 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1445,c_0_1446]),c_0_1184]),c_0_1350]) ).

cnf(c_0_1467,plain,
    ( op2(e22,e21) = e21
    | h3(e11) != e23 ),
    inference(spm,[status(thm)],[c_0_1399,c_0_1447]) ).

cnf(c_0_1468,plain,
    ( h3(e11) = e23
    | epred13_0
    | h2(e11) != e23 ),
    inference(spm,[status(thm)],[c_0_1448,c_0_1449]) ).

cnf(c_0_1469,plain,
    ( op2(e22,e20) = e22
    | h3(e11) = e22 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1450,c_0_1195]),c_0_1180]),c_0_1190]),c_0_1258]),c_0_1207]) ).

cnf(c_0_1470,plain,
    ( op2(e22,e20) = e23
    | h3(e11) = e23
    | ~ epred11_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1225,c_0_1422]),c_0_1221]),c_0_1295]) ).

cnf(c_0_1471,plain,
    ( op2(e20,e22) = e22
    | op2(e20,e22) = e21
    | h3(e11) != e23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1451,c_0_1291]),c_0_1452]) ).

cnf(c_0_1472,plain,
    ( h2(e11) = e23
    | epred12_0
    | h3(e11) != e23 ),
    inference(spm,[status(thm)],[c_0_1218,c_0_1453]) ).

cnf(c_0_1473,plain,
    ( op2(e23,e20) = e20
    | op2(e20,e22) != e20 ),
    inference(spm,[status(thm)],[c_0_1424,c_0_1454]) ).

cnf(c_0_1474,plain,
    ( op2(e20,e23) = e22
    | op2(e20,e22) = e22
    | h1(e11) = e22 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1455,c_0_1184]),c_0_1456]) ).

cnf(c_0_1475,plain,
    op2(e22,e23) != h3(e11),
    inference(rw,[status(thm)],[c_0_1457,c_0_1195]) ).

cnf(c_0_1476,plain,
    ( op1(e10,e13) = e13
    | op1(e11,e13) = e13
    | op1(e12,e13) = e13
    | op1(e13,e13) = e13 ),
    i_0_17 ).

cnf(c_0_1477,plain,
    ( op1(e11,e12) = e12
    | op1(e11,e13) = e12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1458,c_0_1459]),c_0_1460]) ).

cnf(c_0_1478,plain,
    ( op1(e11,e12) = e11
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_1461,c_0_1462]) ).

cnf(c_0_1479,plain,
    ( op2(e21,e23) = e22
    | h2(e11) != e23 ),
    inference(spm,[status(thm)],[c_0_1463,c_0_1464]) ).

cnf(c_0_1480,plain,
    ( op2(e21,e23) = h2(e12)
    | h2(e11) = e21
    | h2(e11) = e20 ),
    inference(spm,[status(thm)],[c_0_1417,c_0_1465]) ).

cnf(c_0_1481,plain,
    ( op2(e23,e22) = e23
    | h2(e12) = e21
    | h3(e11) != e23 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1466,c_0_1467]),c_0_1258]) ).

cnf(c_0_1482,plain,
    ( epred11_0
    | h3(e11) != e22
    | ~ epred12_0 ),
    inference(spm,[status(thm)],[c_0_1451,c_0_1269]) ).

cnf(c_0_1483,plain,
    ( h3(e11) = e23
    | epred12_0
    | h2(e11) != e23 ),
    inference(spm,[status(thm)],[c_0_1218,c_0_1468]) ).

cnf(c_0_1484,plain,
    ( h3(e11) = e23
    | h3(e11) = e22
    | h2(e11) != e23 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1469,c_0_1449]),c_0_1244]) ).

cnf(c_0_1485,plain,
    ( h3(e11) = e23
    | ~ epred11_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1469,c_0_1470]),c_0_1244]),c_0_1352]) ).

cnf(c_0_1486,plain,
    ( op2(e20,e21) != e23
    | h3(e11) != e23
    | ~ epred11_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1471,c_0_1313]),c_0_1207]),c_0_1262]) ).

cnf(c_0_1487,plain,
    ( h2(e11) = e23
    | epred11_0
    | h3(e11) != e23 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1279,c_0_1427]),c_0_1233]),c_0_1472]) ).

cnf(c_0_1488,plain,
    ( epred13_0
    | op2(e20,e22) != e23 ),
    inference(spm,[status(thm)],[c_0_1283,c_0_1398]) ).

cnf(c_0_1489,plain,
    ( epred13_0
    | op2(e20,e22) != e20 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1265,c_0_1473]),c_0_1233]) ).

cnf(c_0_1490,plain,
    ( op2(e20,e22) = e22
    | h1(e11) = e22
    | epred13_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1398,c_0_1474]),c_0_1244]) ).

cnf(c_0_1491,plain,
    h4(e10) != h3(e11),
    inference(rw,[status(thm)],[c_0_1475,c_0_1180]) ).

cnf(c_0_1492,plain,
    op1(e10,e11) != op1(e13,e11),
    i_0_136 ).

cnf(c_0_1493,plain,
    ( op1(e10,e13) = e13
    | op1(e11,e13) = e13 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1476,c_0_1297]),c_0_1321]),c_0_1311]),c_0_1329]) ).

cnf(c_0_1494,plain,
    op1(e11,e13) = e12,
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1477,c_0_1478]),c_0_1359]),c_0_1460]) ).

cnf(c_0_1495,plain,
    ( h2(e11) = e20
    | h2(e11) = e21
    | h2(e12) = e22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1479,c_0_1480]),c_0_1465]) ).

cnf(c_0_1496,plain,
    ( h2(e12) = e21
    | h3(e11) != e23 ),
    inference(spm,[status(thm)],[c_0_1396,c_0_1481]) ).

cnf(c_0_1497,plain,
    ( h3(e11) = e23
    | h2(e11) != e23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1482,c_0_1483]),c_0_1484]),c_0_1485]) ).

cnf(c_0_1498,plain,
    op2(e22,e21) != op2(e22,e20),
    i_0_156 ).

cnf(c_0_1499,plain,
    ( h2(e11) = e23
    | h3(e11) != e23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1486,c_0_1427]),c_0_1487]) ).

cnf(c_0_1500,plain,
    ( op2(e20,e22) = e22
    | op2(e20,e22) = e21
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1488,c_0_1291]),c_0_1489]) ).

cnf(c_0_1501,plain,
    ( h1(e11) = e22
    | epred13_0
    | h3(e11) != e22 ),
    inference(spm,[status(thm)],[c_0_1451,c_0_1490]) ).

cnf(c_0_1502,plain,
    ( op2(e22,e22) = e20
    | op2(e22,e22) = e21
    | op2(e22,e22) = e22
    | op2(e22,e22) = e23 ),
    i_0_54 ).

cnf(c_0_1503,plain,
    h3(e11) != e20,
    inference(rw,[status(thm)],[c_0_1491,c_0_1190]) ).

cnf(c_0_1504,plain,
    ( op2(e23,e20) = e23
    | op2(e23,e21) = e23
    | op2(e23,e22) = e23
    | op2(e23,e23) = e23 ),
    i_0_66 ).

cnf(c_0_1505,plain,
    ( op1(e10,e11) = e10
    | op1(e10,e11) = e11
    | op1(e10,e11) = e12
    | op1(e10,e11) = e13 ),
    i_0_15 ).

cnf(c_0_1506,plain,
    op1(e10,e11) != e12,
    inference(rw,[status(thm)],[c_0_1492,c_0_1308]) ).

cnf(c_0_1507,plain,
    op1(e10,e11) != op1(e10,e13),
    i_0_116 ).

cnf(c_0_1508,plain,
    op1(e10,e13) = e13,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1493,c_0_1494]),c_0_1327]) ).

cnf(c_0_1509,plain,
    op2(e21,e22) != op2(e21,e21),
    i_0_159 ).

cnf(c_0_1510,plain,
    ( h2(e12) = e22
    | h2(e11) = e21 ),
    inference(sr,[status(thm)],[c_0_1495,c_0_1418]) ).

cnf(c_0_1511,plain,
    ( h2(e12) = e21
    | h2(e11) != e23 ),
    inference(spm,[status(thm)],[c_0_1496,c_0_1497]) ).

cnf(c_0_1512,plain,
    ( h2(e11) = e23
    | h2(e11) = e21 ),
    inference(sr,[status(thm)],[c_0_1465,c_0_1418]) ).

cnf(c_0_1513,plain,
    ( op2(e20,e21) = e23
    | h2(e11) = e23
    | op2(e22,e20) != e23 ),
    inference(spm,[status(thm)],[c_0_1498,c_0_1294]) ).

cnf(c_0_1514,plain,
    ( h2(e11) = e23
    | ~ epred11_0 ),
    inference(spm,[status(thm)],[c_0_1499,c_0_1485]) ).

cnf(c_0_1515,plain,
    ( op2(e20,e22) = e21
    | epred13_0
    | h3(e11) != e22 ),
    inference(spm,[status(thm)],[c_0_1451,c_0_1500]) ).

cnf(c_0_1516,plain,
    ( h1(e11) = e22
    | epred12_0
    | h3(e11) != e22 ),
    inference(spm,[status(thm)],[c_0_1218,c_0_1501]) ).

cnf(c_0_1517,plain,
    ( h2(e11) = e23
    | h2(e11) = e20
    | h3(e11) != e23 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1261,c_0_1427]),c_0_1233]) ).

cnf(c_0_1518,plain,
    ( h3(e11) = e23
    | h3(e11) = e22
    | h3(e11) = e21 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1502,c_0_1195]),c_0_1195]),c_0_1195]),c_0_1195]),c_0_1503]) ).

cnf(c_0_1519,plain,
    ( op2(e20,e23) = e23
    | op2(e21,e23) = e23
    | op2(e22,e23) = e23
    | op2(e23,e23) = e23 ),
    i_0_65 ).

cnf(c_0_1520,plain,
    op2(e23,e20) != op2(e20,e20),
    i_0_190 ).

cnf(c_0_1521,plain,
    ( op2(e23,e22) = e23
    | op2(e23,e20) = e23 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1504,c_0_1178]),c_0_1176]),c_0_1244]),c_0_1221]) ).

cnf(c_0_1522,plain,
    op2(e22,e22) != op2(e21,e22),
    i_0_177 ).

cnf(c_0_1523,plain,
    ( op1(e10,e11) = e10
    | op1(e10,e11) = e11
    | op1(e10,e11) = e13 ),
    inference(sr,[status(thm)],[c_0_1505,c_0_1506]) ).

cnf(c_0_1524,plain,
    op1(e10,e11) != e13,
    inference(rw,[status(thm)],[c_0_1507,c_0_1508]) ).

cnf(c_0_1525,plain,
    op2(e23,e23) != op2(e23,e20),
    i_0_148 ).

cnf(c_0_1526,plain,
    ( op2(e20,op2(e20,e23)) = e20
    | op2(e21,op2(e21,e23)) = e21
    | op2(e22,op2(e22,e23)) = e22
    | op2(e23,op2(e23,e23)) = e23 ),
    i_0_285 ).

cnf(c_0_1527,plain,
    ( op2(e20,e23) = e22
    | op2(e21,e23) = e22
    | op2(e22,e23) = e22
    | op2(e23,e23) = e22 ),
    i_0_67 ).

cnf(c_0_1528,plain,
    op2(e21,e22) != h2(e11),
    inference(rw,[status(thm)],[c_0_1509,c_0_1188]) ).

cnf(c_0_1529,plain,
    h2(e11) = e21,
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1510,c_0_1511]),c_0_1272]),c_0_1512]) ).

cnf(c_0_1530,plain,
    ( op2(e22,e20) = e20
    | op2(e22,e20) = e21
    | op2(e22,e20) = e22
    | op2(e22,e20) = e23 ),
    i_0_56 ).

cnf(c_0_1531,plain,
    ( h2(e11) = e23
    | op2(e22,e20) != e23 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1513,c_0_1446]),c_0_1233]) ).

cnf(c_0_1532,plain,
    ( op2(e21,e23) = h2(e12)
    | ~ epred11_0 ),
    inference(spm,[status(thm)],[c_0_1417,c_0_1514]) ).

cnf(c_0_1533,plain,
    ( epred13_0
    | h1(e11) != e21
    | h3(e11) != e22 ),
    inference(spm,[status(thm)],[c_0_1312,c_0_1515]) ).

cnf(c_0_1534,plain,
    ( h1(e11) = e22
    | h3(e11) != e22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1482,c_0_1516]),c_0_1352]) ).

cnf(c_0_1535,plain,
    ( h3(e11) = e22
    | h3(e11) = e21
    | h2(e11) = e20
    | h2(e11) = e23 ),
    inference(spm,[status(thm)],[c_0_1517,c_0_1518]) ).

cnf(c_0_1536,plain,
    op2(e20,e23) != op2(e20,e20),
    i_0_166 ).

cnf(c_0_1537,plain,
    ( op2(e21,e23) = e23
    | op2(e20,e23) = e23 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1519,c_0_1180]),c_0_1190]),c_0_1176]),c_0_1233]),c_0_1221]) ).

cnf(c_0_1538,plain,
    op2(e23,e20) != h1(e11),
    inference(rw,[status(thm)],[c_0_1520,c_0_1184]) ).

cnf(c_0_1539,plain,
    ( op2(e23,e20) = e23
    | h3(e11) != e23 ),
    inference(spm,[status(thm)],[c_0_1396,c_0_1521]) ).

cnf(c_0_1540,plain,
    op2(e21,e22) != h3(e11),
    inference(rw,[status(thm)],[c_0_1522,c_0_1195]) ).

cnf(c_0_1541,plain,
    op1(e10,e11) != op1(e11,e11),
    i_0_138 ).

cnf(c_0_1542,plain,
    ( op1(e10,e11) = e10
    | op1(e10,e11) = e11 ),
    inference(sr,[status(thm)],[c_0_1523,c_0_1524]) ).

cnf(c_0_1543,plain,
    ( op2(e20,e20) = e21
    | op2(e21,e20) = e21
    | op2(e22,e20) = e21
    | op2(e23,e20) = e21 ),
    i_0_93 ).

cnf(c_0_1544,plain,
    op2(e23,e20) != e21,
    inference(rw,[status(thm)],[c_0_1525,c_0_1176]) ).

cnf(c_0_1545,plain,
    ( op2(e21,op2(e21,e23)) = e21
    | op2(e20,op2(e20,e23)) = e20
    | op2(e22,e20) = e22 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1526,c_0_1180]),c_0_1190]),c_0_1176]),c_0_1178]),c_0_1244]) ).

cnf(c_0_1546,plain,
    ( op2(e21,e23) = e22
    | op2(e20,e23) = e22 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1527,c_0_1180]),c_0_1190]),c_0_1176]),c_0_1207]),c_0_1272]) ).

cnf(c_0_1547,plain,
    op2(e21,e22) != e21,
    inference(rw,[status(thm)],[c_0_1528,c_0_1529]) ).

cnf(c_0_1548,plain,
    op2(e22,e22) != op2(e22,e20),
    i_0_155 ).

cnf(c_0_1549,plain,
    ( op2(e22,e20) = e23
    | op2(e22,e20) = e22
    | op2(e22,e20) = e21 ),
    inference(sr,[status(thm)],[c_0_1530,c_0_1203]) ).

cnf(c_0_1550,plain,
    op2(e22,e20) != e23,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1531,c_0_1529]),c_0_1221]) ).

cnf(c_0_1551,plain,
    ( h2(e12) != e21
    | ~ epred11_0 ),
    inference(spm,[status(thm)],[c_0_1198,c_0_1532]) ).

cnf(c_0_1552,plain,
    ( epred12_0
    | h1(e11) != e21
    | h3(e11) != e22 ),
    inference(spm,[status(thm)],[c_0_1218,c_0_1533]) ).

cnf(c_0_1553,plain,
    ( h2(e11) = e23
    | h2(e11) = e20
    | h3(e11) = e21
    | h1(e11) = e22 ),
    inference(spm,[status(thm)],[c_0_1534,c_0_1535]) ).

cnf(c_0_1554,plain,
    op2(e20,e23) != h1(e11),
    inference(rw,[status(thm)],[c_0_1536,c_0_1184]) ).

cnf(c_0_1555,plain,
    ( op2(e20,e23) = e23
    | h2(e11) != e23 ),
    inference(spm,[status(thm)],[c_0_1463,c_0_1537]) ).

cnf(c_0_1556,plain,
    ( h1(e11) != e23
    | h3(e11) != e23 ),
    inference(spm,[status(thm)],[c_0_1538,c_0_1539]) ).

cnf(c_0_1557,plain,
    ( epred10_0
    | h3(e11) != e21
    | ~ epred11_0 ),
    inference(spm,[status(thm)],[c_0_1540,c_0_1212]) ).

cnf(c_0_1558,plain,
    op1(e13,e10) != op1(e13,e11),
    i_0_102 ).

cnf(c_0_1559,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) != e10 ),
    inference(spm,[status(thm)],[c_0_1541,c_0_1542]) ).

cnf(c_0_1560,plain,
    ( op2(e22,e20) = e21
    | op2(e21,e20) = e21
    | h1(e11) = e21 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1543,c_0_1184]),c_0_1544]) ).

cnf(c_0_1561,plain,
    ( op2(e20,op2(e20,e23)) = e20
    | op2(e20,e23) = e22
    | op2(e22,e20) = e22 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1545,c_0_1546]),c_0_1547]) ).

cnf(c_0_1562,plain,
    ( op2(e22,e20) = e22
    | op2(e22,e21) = e22
    | epred11_0
    | ~ epred12_0 ),
    i_0_728 ).

cnf(c_0_1563,plain,
    op2(e22,e20) != h3(e11),
    inference(rw,[status(thm)],[c_0_1548,c_0_1195]) ).

cnf(c_0_1564,plain,
    ( op2(e22,e20) = e22
    | op2(e22,e20) = e21 ),
    inference(sr,[status(thm)],[c_0_1549,c_0_1550]) ).

cnf(c_0_1565,plain,
    ( op2(e23,e22) = e23
    | ~ epred11_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1466,c_0_1225]),c_0_1258]),c_0_1295]),c_0_1551]) ).

cnf(c_0_1566,plain,
    ( h3(e11) != e22
    | h1(e11) != e21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1482,c_0_1552]),c_0_1352]) ).

cnf(c_0_1567,plain,
    ( h3(e11) = e22
    | h3(e11) = e21
    | h2(e11) = e23 ),
    inference(spm,[status(thm)],[c_0_1499,c_0_1518]) ).

cnf(c_0_1568,plain,
    op2(e22,op2(e22,e22)) = h3(e12),
    i_0_303 ).

cnf(c_0_1569,plain,
    ( h1(e11) = e22
    | h3(e11) = e21
    | h2(e11) = e23 ),
    inference(sr,[status(thm)],[c_0_1553,c_0_1418]) ).

cnf(c_0_1570,plain,
    ( op2(e22,e21) = e23
    | h2(e11) = e23 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1294,c_0_1446]),c_0_1233]) ).

cnf(c_0_1571,plain,
    ( h2(e11) != e21
    | ~ epred10_0 ),
    inference(spm,[status(thm)],[c_0_1392,c_0_1228]) ).

cnf(c_0_1572,plain,
    ( epred10_0
    | h2(e11) != e21
    | ~ epred11_0 ),
    inference(spm,[status(thm)],[c_0_1528,c_0_1212]) ).

cnf(c_0_1573,plain,
    ( h1(e11) != e23
    | h2(e11) != e23 ),
    inference(spm,[status(thm)],[c_0_1554,c_0_1555]) ).

cnf(c_0_1574,plain,
    ( h3(e11) = e22
    | h3(e11) = e21
    | h1(e11) != e23 ),
    inference(spm,[status(thm)],[c_0_1556,c_0_1518]) ).

cnf(c_0_1575,plain,
    ( h2(e11) != e20
    | h3(e11) != e21 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1250,c_0_1557]),c_0_1216]),c_0_1252]) ).

cnf(c_0_1576,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12
    | op1(e13,e10) = e12 ),
    i_0_43 ).

cnf(c_0_1577,plain,
    op1(e13,e10) != e12,
    inference(rw,[status(thm)],[c_0_1558,c_0_1308]) ).

cnf(c_0_1578,plain,
    op1(e11,e10) != op1(e11,e13),
    i_0_112 ).

cnf(c_0_1579,plain,
    ( op1(e10,e10) = e11
    | op1(e10,e11) = e11
    | op1(e10,e12) = e11
    | op1(e10,e13) = e11 ),
    i_0_46 ).

cnf(c_0_1580,plain,
    op1(e11,e11) != e10,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1436,c_0_1559]),c_0_1439]) ).

cnf(c_0_1581,plain,
    ( op2(e21,e20) = e21
    | h1(e11) = e21
    | h3(e11) = e22 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1469,c_0_1560]),c_0_1272]) ).

cnf(c_0_1582,plain,
    ( op2(e22,e20) = e22
    | epred13_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1561,c_0_1398]),c_0_1204]),c_0_1244]) ).

cnf(c_0_1583,plain,
    ( op2(e22,e20) = e22
    | epred11_0
    | ~ epred12_0 ),
    inference(sr,[status(thm)],[c_0_1562,c_0_1258]) ).

cnf(c_0_1584,plain,
    ( op2(e22,e20) = e21
    | h3(e11) != e22 ),
    inference(spm,[status(thm)],[c_0_1563,c_0_1564]) ).

cnf(c_0_1585,plain,
    ~ epred11_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1396,c_0_1565]),c_0_1485]) ).

cnf(c_0_1586,plain,
    ( h2(e11) = e23
    | h3(e11) = e21
    | h1(e11) != e21 ),
    inference(spm,[status(thm)],[c_0_1566,c_0_1567]) ).

cnf(c_0_1587,plain,
    op2(op2(e22,op2(e22,e22)),e22) = h3(e10),
    i_0_305 ).

cnf(c_0_1588,plain,
    op2(e22,h3(e11)) = h3(e12),
    inference(rw,[status(thm)],[c_0_1568,c_0_1195]) ).

cnf(c_0_1589,plain,
    ( h3(e11) = e21
    | h1(e11) = e22 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1569,c_0_1529]),c_0_1221]) ).

cnf(c_0_1590,plain,
    op2(e22,e21) = e23,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1570,c_0_1529]),c_0_1221]) ).

cnf(c_0_1591,plain,
    ( op2(e20,e23) = e22
    | h1(e11) != e23 ),
    inference(spm,[status(thm)],[c_0_1554,c_0_1278]) ).

cnf(c_0_1592,plain,
    ( epred13_0
    | h1(e11) != e23 ),
    inference(spm,[status(thm)],[c_0_1554,c_0_1398]) ).

cnf(c_0_1593,plain,
    ( h2(e11) != e21
    | ~ epred11_0 ),
    inference(spm,[status(thm)],[c_0_1571,c_0_1572]) ).

cnf(c_0_1594,plain,
    ( h2(e11) = e21
    | h2(e11) = e20
    | h1(e11) != e23 ),
    inference(spm,[status(thm)],[c_0_1573,c_0_1465]) ).

cnf(c_0_1595,plain,
    ( h2(e11) != e20
    | h1(e11) != e23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1335,c_0_1574]),c_0_1575]) ).

cnf(c_0_1596,plain,
    ( op1(e10,e10) = e12
    | op1(e10,e11) = e12
    | op1(e10,e12) = e12
    | op1(e10,e13) = e12 ),
    i_0_44 ).

cnf(c_0_1597,plain,
    op1(e10,e13) != op1(e11,e13),
    i_0_126 ).

cnf(c_0_1598,plain,
    ( op1(e10,e10) = e12
    | op1(e12,e10) = e12
    | op1(e11,e10) = e12 ),
    inference(sr,[status(thm)],[c_0_1576,c_0_1577]) ).

cnf(c_0_1599,plain,
    op1(e11,e10) != e12,
    inference(rw,[status(thm)],[c_0_1578,c_0_1494]) ).

cnf(c_0_1600,plain,
    ( op1(e10,e10) = e11
    | op1(e10,e12) = e11
    | op1(e10,e11) = e11 ),
    inference(sr,[status(thm)],[c_0_1579,c_0_1387]) ).

cnf(c_0_1601,plain,
    op1(e10,e11) = e10,
    inference(sr,[status(thm)],[c_0_1400,c_0_1580]) ).

cnf(c_0_1602,plain,
    ( op1(e10,op1(e10,e13)) = e10
    | op1(e11,op1(e11,e13)) = e11
    | op1(e12,op1(e12,e13)) = e12
    | op1(e13,op1(e13,e13)) = e13 ),
    i_0_251 ).

cnf(c_0_1603,plain,
    ( h3(e11) = e22
    | h1(e11) = e21
    | epred13_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1275,c_0_1581]),c_0_1262]) ).

cnf(c_0_1604,plain,
    ( epred13_0
    | h3(e11) != e22 ),
    inference(spm,[status(thm)],[c_0_1563,c_0_1582]) ).

cnf(c_0_1605,plain,
    ( h3(e11) != e22
    | ~ epred12_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1583,c_0_1584]),c_0_1272]),c_0_1585]) ).

cnf(c_0_1606,plain,
    ( h3(e11) = e21
    | h1(e11) != e21 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1586,c_0_1529]),c_0_1221]) ).

cnf(c_0_1607,plain,
    op2(h3(e12),e22) = h3(e10),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1587,c_0_1195]),c_0_1588]) ).

cnf(c_0_1608,plain,
    ( h1(e11) = e22
    | h3(e12) = e23 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1588,c_0_1589]),c_0_1590]) ).

cnf(c_0_1609,plain,
    ( op2(e20,e20) = e23
    | op2(e21,e20) = e23
    | op2(e22,e20) = e23
    | op2(e23,e20) = e23 ),
    i_0_89 ).

cnf(c_0_1610,plain,
    ( op2(e20,e22) != e22
    | h1(e11) != e23 ),
    inference(spm,[status(thm)],[c_0_1283,c_0_1591]) ).

cnf(c_0_1611,plain,
    ( epred12_0
    | h1(e11) != e23 ),
    inference(spm,[status(thm)],[c_0_1218,c_0_1592]) ).

cnf(c_0_1612,plain,
    ( h1(e11) != e23
    | ~ epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1593,c_0_1594]),c_0_1595]) ).

cnf(c_0_1613,plain,
    ( op1(e10,e10) = e12
    | op1(e10,e12) = e12
    | op1(e10,e13) = e12 ),
    inference(sr,[status(thm)],[c_0_1596,c_0_1506]) ).

cnf(c_0_1614,plain,
    op1(e10,e13) != e12,
    inference(rw,[status(thm)],[c_0_1597,c_0_1494]) ).

cnf(c_0_1615,plain,
    ( op1(e10,e10) = e12
    | op1(e12,e10) = e12 ),
    inference(sr,[status(thm)],[c_0_1598,c_0_1599]) ).

cnf(c_0_1616,plain,
    ( op1(e10,e10) = e11
    | op1(e10,e12) = e11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1600,c_0_1601]),c_0_1402]) ).

cnf(c_0_1617,plain,
    ( op1(e10,op1(e10,e13)) = e10
    | op1(e11,op1(e11,e13)) = e11
    | op1(e12,e10) = e12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1602,c_0_1297]),c_0_1308]),c_0_1321]),c_0_1327]) ).

cnf(c_0_1618,plain,
    ( op2(e20,op2(e20,e22)) = e20
    | op2(e21,op2(e21,e22)) = e21
    | op2(e22,op2(e22,e22)) = e22
    | op2(e23,op2(e23,e22)) = e23 ),
    i_0_286 ).

cnf(c_0_1619,plain,
    ( h1(e11) = e21
    | h3(e11) = e22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1218,c_0_1603]),c_0_1287]) ).

cnf(c_0_1620,plain,
    h3(e11) != e22,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1218,c_0_1604]),c_0_1605]) ).

cnf(c_0_1621,plain,
    ( h3(e12) = e23
    | h1(e11) != e21 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1588,c_0_1606]),c_0_1590]) ).

cnf(c_0_1622,plain,
    ( op2(e20,e22) = e20
    | op2(e21,e22) = e20
    | op2(e22,e22) = e20
    | op2(e23,e22) = e20 ),
    i_0_79 ).

cnf(c_0_1623,plain,
    op2(e21,e23) != op2(e21,e20),
    i_0_160 ).

cnf(c_0_1624,plain,
    op2(e23,e22) != op2(e23,e20),
    i_0_149 ).

cnf(c_0_1625,plain,
    ( op2(e23,e22) = h3(e10)
    | h1(e11) = e22 ),
    inference(spm,[status(thm)],[c_0_1607,c_0_1608]) ).

cnf(c_0_1626,plain,
    ( op2(e23,e20) = e23
    | op2(e22,e20) = e23
    | op2(e21,e20) = e23
    | h1(e11) = e23 ),
    inference(rw,[status(thm)],[c_0_1609,c_0_1184]) ).

cnf(c_0_1627,plain,
    h1(e11) != e23,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1610,c_0_1269]),c_0_1611]),c_0_1612]) ).

cnf(c_0_1628,plain,
    op1(e10,e10) != op1(e12,e10),
    i_0_143 ).

cnf(c_0_1629,plain,
    ( op1(e10,e10) = e12
    | op1(e10,e12) = e12 ),
    inference(sr,[status(thm)],[c_0_1613,c_0_1614]) ).

cnf(c_0_1630,plain,
    op1(e10,e12) != op1(e11,e12),
    i_0_132 ).

cnf(c_0_1631,plain,
    ( op1(e10,e12) = e11
    | op1(e12,e10) = e12 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1615,c_0_1616]),c_0_1359]) ).

cnf(c_0_1632,plain,
    ( op1(e12,e10) = e12
    | op1(e11,e12) = e11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1617,c_0_1494]),c_0_1508]),c_0_1508]),c_0_1329]) ).

cnf(c_0_1633,plain,
    ( op2(e23,op2(e23,e22)) = e23
    | op2(e21,op2(e21,e22)) = e21
    | op2(e20,op2(e20,e22)) = e20
    | h3(e12) = e22 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1618,c_0_1195]),c_0_1588]) ).

cnf(c_0_1634,plain,
    h1(e11) = e21,
    inference(sr,[status(thm)],[c_0_1619,c_0_1620]) ).

cnf(c_0_1635,plain,
    ( op2(e23,e22) = h3(e10)
    | h1(e11) != e21 ),
    inference(spm,[status(thm)],[c_0_1607,c_0_1621]) ).

cnf(c_0_1636,plain,
    ( op2(e23,e22) = e20
    | op2(e21,e22) = e20
    | op2(e20,e22) = e20 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1622,c_0_1195]),c_0_1503]) ).

cnf(c_0_1637,plain,
    op2(e20,e22) != e20,
    inference(rw,[status(thm)],[c_0_1290,c_0_1446]) ).

cnf(c_0_1638,plain,
    op2(e21,e21) != op2(e21,e20),
    i_0_162 ).

cnf(c_0_1639,plain,
    ( op2(e20,e23) = e23
    | op2(e21,e20) != e23 ),
    inference(spm,[status(thm)],[c_0_1623,c_0_1537]) ).

cnf(c_0_1640,plain,
    ( h1(e11) = e22
    | op2(e23,e20) != h3(e10) ),
    inference(spm,[status(thm)],[c_0_1624,c_0_1625]) ).

cnf(c_0_1641,plain,
    ( op2(e23,e20) = e23
    | op2(e22,e20) = e23
    | op2(e21,e20) = e23 ),
    inference(sr,[status(thm)],[c_0_1626,c_0_1627]) ).

cnf(c_0_1642,plain,
    ( epred17_0
    | h3(e10) != e20
    | h3(e11) != e21
    | h3(e13) != 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_979 ).

cnf(c_0_1643,plain,
    h3(e13) = e22,
    i_0_306 ).

cnf(c_0_1644,plain,
    ( op1(e10,e12) = e12
    | op1(e12,e10) != e12 ),
    inference(spm,[status(thm)],[c_0_1628,c_0_1629]) ).

cnf(c_0_1645,plain,
    op1(e12,e10) = e12,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1630,c_0_1631]),c_0_1632]) ).

cnf(c_0_1646,plain,
    op2(e23,e22) != op2(e21,e22),
    i_0_176 ).

cnf(c_0_1647,plain,
    ( op2(e21,op2(e21,e22)) = e21
    | op2(e20,op2(e20,e22)) = e20
    | op2(e23,e22) = e20
    | h3(e12) = e22 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1633,c_0_1397]),c_0_1176]),c_0_1221]) ).

cnf(c_0_1648,plain,
    h3(e12) = e23,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1608,c_0_1634]),c_0_1272]) ).

cnf(c_0_1649,plain,
    op2(e23,e22) = h3(e10),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1635,c_0_1634])]) ).

cnf(c_0_1650,plain,
    ( op2(e23,e22) = e20
    | op2(e21,e22) = e20 ),
    inference(sr,[status(thm)],[c_0_1636,c_0_1637]) ).

cnf(c_0_1651,plain,
    op2(e21,e20) != h2(e11),
    inference(rw,[status(thm)],[c_0_1638,c_0_1188]) ).

cnf(c_0_1652,plain,
    ( op2(e20,e22) = e22
    | h1(e11) = e22
    | op2(e21,e20) != e23 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1639,c_0_1474]),c_0_1244]) ).

cnf(c_0_1653,plain,
    op2(e23,e20) != h3(e10),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1640,c_0_1634]),c_0_1272]) ).

cnf(c_0_1654,plain,
    ( op2(e21,e20) = e23
    | op2(e23,e20) = e23 ),
    inference(sr,[status(thm)],[c_0_1641,c_0_1550]) ).

cnf(c_0_1655,plain,
    ( epred17_0
    | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))
    | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))
    | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))
    | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))
    | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
    | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
    | op2(h3(e10),h3(e11)) != h3(op1(e10,e11))
    | op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
    | op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
    | op2(e22,h3(e12)) != h3(op1(e13,e12))
    | op2(e22,h3(e10)) != h3(op1(e13,e10))
    | op2(h3(e11),e22) != h3(op1(e11,e13))
    | op2(h3(e10),e22) != h3(op1(e10,e13))
    | h3(e11) != e21
    | h3(e10) != e20 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1642,c_0_1643]),c_0_1643]),c_0_1643]),c_0_1195]),c_0_1297]),c_0_1643]),c_0_1588]),c_0_1308]),c_0_1643]),c_0_1643]),c_0_1643]),c_0_1643]),c_0_1607]),c_0_1321]),c_0_1643])]) ).

cnf(c_0_1656,plain,
    op1(e10,e12) = e12,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1644,c_0_1645])]) ).

cnf(c_0_1657,plain,
    ( op2(e23,e22) = e20
    | op2(e21,e22) != e23 ),
    inference(spm,[status(thm)],[c_0_1646,c_0_1397]) ).

cnf(c_0_1658,plain,
    ( op2(e20,op2(e20,e22)) = e20
    | op2(e21,op2(e21,e22)) = e21
    | h3(e10) = e20 ),
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1647,c_0_1648]),c_0_1244]),c_0_1649]) ).

cnf(c_0_1659,plain,
    ( op2(e21,e22) = e20
    | h3(e10) = e20 ),
    inference(spm,[status(thm)],[c_0_1650,c_0_1649]) ).

cnf(c_0_1660,plain,
    op2(e21,e20) != e21,
    inference(rw,[status(thm)],[c_0_1651,c_0_1529]) ).

cnf(c_0_1661,plain,
    ( op2(e20,e22) = e22
    | op2(e21,e20) != e23 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1652,c_0_1634]),c_0_1272]) ).

cnf(c_0_1662,plain,
    ( op2(e21,e20) = e23
    | h3(e10) != e23 ),
    inference(spm,[status(thm)],[c_0_1653,c_0_1654]) ).

cnf(c_0_1663,plain,
    ( h1(e11) = e22
    | h3(e10) = e23
    | h3(e10) = e20 ),
    inference(spm,[status(thm)],[c_0_1397,c_0_1625]) ).

cnf(c_0_1664,plain,
    op2(e21,e23) != op2(e21,e22),
    i_0_157 ).

cnf(c_0_1665,plain,
    ( epred17_0
    | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))
    | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))
    | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))
    | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))
    | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
    | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
    | op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
    | op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
    | op2(e22,h3(e12)) != h3(op1(e13,e12))
    | op2(e22,h3(e10)) != h3(op1(e13,e10))
    | op2(h3(e10),h3(e11)) != h3(e10)
    | op2(h3(e11),e22) != h3(e12)
    | op2(h3(e10),e22) != e22
    | h3(e11) != e21
    | h3(e10) != e20 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1655,c_0_1601]),c_0_1494]),c_0_1508]),c_0_1643]) ).

cnf(c_0_1666,plain,
    op1(e10,e10) = e11,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1616,c_0_1656]),c_0_1359]) ).

cnf(c_0_1667,plain,
    ( h3(e11) = e21
    | h3(e11) = e22 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1567,c_0_1529]),c_0_1221]) ).

cnf(c_0_1668,negated_conjecture,
    ( h3(e12) != e23
    | ~ epred17_0 ),
    i_0_316 ).

cnf(c_0_1669,plain,
    ( h3(e10) = e20
    | op2(e21,e22) != e23
    | h1(e11) != e21 ),
    inference(spm,[status(thm)],[c_0_1657,c_0_1635]) ).

cnf(c_0_1670,plain,
    ( op2(e23,e20) = e20
    | op2(e21,e20) = e20 ),
    inference(sr,[status(thm)],[c_0_1266,c_0_1350]) ).

cnf(c_0_1671,plain,
    ( op2(e23,e20) = e23
    | h3(e10) = e23 ),
    inference(spm,[status(thm)],[c_0_1521,c_0_1649]) ).

cnf(c_0_1672,plain,
    ( op2(e20,op2(e20,e22)) = e20
    | h3(e10) = e20 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1658,c_0_1659]),c_0_1660]) ).

cnf(c_0_1673,plain,
    ( op2(e20,e22) = e22
    | h3(e10) != e23 ),
    inference(spm,[status(thm)],[c_0_1661,c_0_1662]) ).

cnf(c_0_1674,plain,
    ( h3(e10) = e20
    | h3(e10) = e23 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1663,c_0_1634]),c_0_1272]) ).

cnf(c_0_1675,plain,
    ( op2(e20,e23) = e23
    | op2(e21,e22) != e23 ),
    inference(spm,[status(thm)],[c_0_1664,c_0_1537]) ).

cnf(c_0_1676,plain,
    ( epred17_0
    | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))
    | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))
    | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))
    | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))
    | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
    | op2(e22,h3(e12)) != h3(op1(e13,e12))
    | op2(e22,h3(e10)) != h3(op1(e13,e10))
    | op2(h3(e12),h3(e10)) != h3(e12)
    | op2(h3(e10),h3(e12)) != h3(e12)
    | op2(h3(e10),h3(e10)) != h3(e11)
    | op2(h3(e10),h3(e11)) != h3(e10)
    | op2(h3(e11),e22) != h3(e12)
    | op2(h3(e10),e22) != e22
    | h3(e11) != e21
    | h3(e10) != e20 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1665,c_0_1645]),c_0_1656]),c_0_1666]) ).

cnf(c_0_1677,plain,
    h3(e11) = e21,
    inference(sr,[status(thm)],[c_0_1667,c_0_1620]) ).

cnf(c_0_1678,negated_conjecture,
    ~ epred17_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1668,c_0_1648])]) ).

cnf(c_0_1679,plain,
    ( h3(e10) = e20
    | op2(e21,e22) != e23 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1669,c_0_1634])]) ).

cnf(c_0_1680,plain,
    ( op2(e21,e20) = e20
    | h3(e10) = e23 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1670,c_0_1671]),c_0_1233]) ).

cnf(c_0_1681,plain,
    h3(e10) = e20,
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1672,c_0_1673]),c_0_1637]),c_0_1674]) ).

cnf(c_0_1682,plain,
    ( op2(e20,e22) = e22
    | h1(e11) = e22
    | op2(e21,e22) != e23 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1675,c_0_1474]),c_0_1244]) ).

cnf(c_0_1683,plain,
    ( op1(e12,e10) = e11
    | op1(e12,e11) = e11
    | op1(e12,e12) = e11
    | op1(e12,e13) = e11 ),
    i_0_30 ).

cnf(c_0_1684,plain,
    ( op2(e21,h3(e10)) != h3(op1(e11,e10))
    | op2(e22,h3(e10)) != h3(op1(e13,e10))
    | h3(op1(e11,e12)) != op2(e21,e23)
    | op2(h3(e10),h3(e10)) != e21
    | op2(h3(e10),e21) != h3(e10)
    | h3(op1(e11,e11)) != e21
    | h3(op1(e12,e11)) != e22
    | h3(op1(e12,e12)) != e21
    | h3(op1(e13,e12)) != e20
    | op2(e23,h3(e10)) != e23
    | op2(h3(e10),e23) != e23
    | op2(h3(e10),e22) != e22
    | op2(e21,e22) != e23 ),
    inference(csr,[status(thm)],[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)],[c_0_1676,c_0_1648]),c_0_1648]),c_0_1648]),c_0_1648]),c_0_1176]),c_0_1648]),c_0_1180]),c_0_1190]),c_0_1648]),c_0_1648]),c_0_1648]),c_0_1648]),c_0_1648]),c_0_1677]),c_0_1677]),c_0_1188]),c_0_1529]),c_0_1677]),c_0_1677]),c_0_1677]),c_0_1178]),c_0_1677]),c_0_1677]),c_0_1677]),c_0_1677])]),c_0_1678]),c_0_1679]) ).

cnf(c_0_1685,plain,
    op2(e22,e20) = e22,
    inference(sr,[status(thm)],[c_0_1469,c_0_1620]) ).

cnf(c_0_1686,plain,
    op2(e21,e20) = e20,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1680,c_0_1681]),c_0_1233]) ).

cnf(c_0_1687,plain,
    op2(e23,e20) = e23,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1671,c_0_1681]),c_0_1233]) ).

cnf(c_0_1688,plain,
    ( op2(e20,e22) = e22
    | op2(e21,e22) != e23 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1682,c_0_1634]),c_0_1272]) ).

cnf(c_0_1689,plain,
    ( op1(e12,e10) = e11
    | op1(e12,e12) = e11
    | op1(e12,e11) = e11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1683,c_0_1321]),c_0_1402]) ).

cnf(c_0_1690,plain,
    ( op1(e12,e11) = e10
    | op1(e12,e11) = e11
    | op1(e12,e11) = e12
    | op1(e12,e11) = e13 ),
    i_0_7 ).

cnf(c_0_1691,plain,
    op1(e12,e13) != op1(e11,e13),
    i_0_123 ).

cnf(c_0_1692,plain,
    ( h3(op1(e11,e12)) != op2(e21,e23)
    | h3(op1(e11,e10)) != e20
    | h3(op1(e13,e10)) != e22
    | h3(op1(e11,e11)) != e21
    | h3(op1(e12,e11)) != e22
    | h3(op1(e12,e12)) != e21
    | h3(op1(e13,e12)) != e20
    | op2(e21,e22) != e23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_1684,c_0_1681]),c_0_1681]),c_0_1685]),c_0_1681]),c_0_1681]),c_0_1184]),c_0_1634]),c_0_1681]),c_0_1446]),c_0_1681]),c_0_1681]),c_0_1681]),c_0_1681])]),c_0_1686]),c_0_1687])]),c_0_1688]),c_0_1675]) ).

cnf(c_0_1693,plain,
    ( op1(e12,e12) = e11
    | op1(e12,e11) = e11 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1689,c_0_1645]),c_0_1359]) ).

cnf(c_0_1694,plain,
    op1(e12,e11) != op1(e11,e11),
    i_0_135 ).

cnf(c_0_1695,plain,
    ( op1(e12,e11) = e11
    | op1(e12,e11) = e13 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1690,c_0_1348]),c_0_1378]) ).

cnf(c_0_1696,plain,
    ( op1(e11,e10) = e10
    | op1(e11,e11) = e10
    | op1(e11,e12) = e10
    | op1(e11,e13) = e10 ),
    i_0_40 ).

cnf(c_0_1697,plain,
    op1(e11,e13) != e10,
    inference(rw,[status(thm)],[c_0_1691,c_0_1321]) ).

cnf(c_0_1698,plain,
    ( op1(e10,e12) = e13
    | op1(e11,e12) = e13
    | op1(e12,e12) = e13
    | op1(e13,e12) = e13 ),
    i_0_25 ).

cnf(c_0_1699,plain,
    op1(e10,e12) != e13,
    inference(rw,[status(thm)],[c_0_1408,c_0_1508]) ).

cnf(c_0_1700,plain,
    ( op2(e21,e22) = e20
    | op2(e20,e22) = e20
    | op2(e23,e20) = e23 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1521,c_0_1636]),c_0_1233]) ).

cnf(c_0_1701,plain,
    ( op1(e12,e11) = e11
    | h3(op1(e11,e12)) != op2(e21,e23)
    | h3(op1(e11,e10)) != e20
    | h3(op1(e13,e10)) != e22
    | h3(op1(e11,e11)) != e21
    | h3(op1(e12,e11)) != e22
    | h3(op1(e13,e12)) != e20
    | op2(e21,e22) != e23 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1692,c_0_1693]),c_0_1677])]) ).

cnf(c_0_1702,plain,
    ( op1(e12,e11) = e13
    | op1(e11,e11) != e11 ),
    inference(spm,[status(thm)],[c_0_1694,c_0_1695]) ).

cnf(c_0_1703,plain,
    ( op1(e11,e10) = e10
    | op1(e11,e12) = e10
    | op1(e11,e11) = e10 ),
    inference(sr,[status(thm)],[c_0_1696,c_0_1697]) ).

cnf(c_0_1704,plain,
    op1(e12,e12) != op1(e12,e11),
    i_0_105 ).

cnf(c_0_1705,plain,
    ( op1(e12,e12) = e13
    | op1(e11,e12) = e13
    | op1(e13,e12) = e13 ),
    inference(sr,[status(thm)],[c_0_1698,c_0_1699]) ).

cnf(c_0_1706,plain,
    op2(e23,e20) != op2(e21,e20),
    i_0_188 ).

cnf(c_0_1707,plain,
    ( op2(e23,e20) = e23
    | op2(e21,e22) = e20 ),
    inference(sr,[status(thm)],[c_0_1700,c_0_1637]) ).

cnf(c_0_1708,plain,
    ( h3(op1(e11,e12)) != op2(e21,e23)
    | h3(op1(e11,e10)) != e20
    | h3(op1(e13,e10)) != e22
    | h3(op1(e11,e11)) != e21
    | h3(op1(e13,e12)) != e20
    | op2(e21,e22) != e23
    | op1(e11,e11) != e11 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1701,c_0_1702]),c_0_1643])]),c_0_1311]) ).

cnf(c_0_1709,plain,
    ( op1(e11,e10) = e10
    | op1(e11,e12) = e10 ),
    inference(sr,[status(thm)],[c_0_1703,c_0_1580]) ).

cnf(c_0_1710,plain,
    ( op1(e13,e12) = e13
    | op1(e11,e12) = e13
    | op1(e12,e11) != e13 ),
    inference(spm,[status(thm)],[c_0_1704,c_0_1705]) ).

cnf(c_0_1711,plain,
    ( op1(e11,e11) = e10
    | op1(e11,e11) = e11
    | op1(e11,e11) = e12
    | op1(e11,e11) = e13 ),
    i_0_11 ).

cnf(c_0_1712,plain,
    ( op2(e21,e20) = e23
    | op2(e21,e21) = e23
    | op2(e21,e22) = e23
    | op2(e21,e23) = e23 ),
    i_0_82 ).

cnf(c_0_1713,plain,
    ( h1(e11) = e22
    | op2(e21,e22) != h3(e10) ),
    inference(spm,[status(thm)],[c_0_1646,c_0_1625]) ).

cnf(c_0_1714,plain,
    ( op2(e21,e22) = e20
    | op2(e21,e20) != e23 ),
    inference(spm,[status(thm)],[c_0_1706,c_0_1707]) ).

cnf(c_0_1715,plain,
    ( op1(e11,e12) = e10
    | h3(op1(e11,e12)) != op2(e21,e23)
    | h3(op1(e13,e10)) != e22
    | h3(op1(e11,e11)) != e21
    | h3(op1(e13,e12)) != e20
    | op2(e21,e22) != e23
    | op1(e11,e11) != e11 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1708,c_0_1709]),c_0_1681])]) ).

cnf(c_0_1716,plain,
    ( op1(e11,e12) = e13
    | op1(e13,e12) = e13
    | op1(e11,e11) != e11 ),
    inference(spm,[status(thm)],[c_0_1710,c_0_1702]) ).

cnf(c_0_1717,plain,
    ( op2(e21,e23) = e22
    | op2(e21,e22) != e23 ),
    inference(spm,[status(thm)],[c_0_1664,c_0_1464]) ).

cnf(c_0_1718,plain,
    ( op1(e11,e11) = e10
    | op1(e11,e11) = e11
    | op1(e11,e11) = e13 ),
    inference(sr,[status(thm)],[c_0_1711,c_0_1433]) ).

cnf(c_0_1719,plain,
    op1(e12,e12) != op1(e12,e13),
    i_0_103 ).

cnf(c_0_1720,plain,
    op1(e10,e12) != op1(e12,e12),
    i_0_131 ).

cnf(c_0_1721,plain,
    ( op2(e21,e23) = e23
    | op2(e21,e22) = e23
    | op2(e21,e20) = e23
    | h2(e11) = e23 ),
    inference(rw,[status(thm)],[c_0_1712,c_0_1188]) ).

cnf(c_0_1722,plain,
    ( h1(e11) = e22
    | op2(e21,e20) != e23
    | h3(e10) != e20 ),
    inference(spm,[status(thm)],[c_0_1713,c_0_1714]) ).

cnf(c_0_1723,plain,
    ( op1(e13,e12) = e13
    | h3(op1(e13,e10)) != e22
    | h3(op1(e11,e11)) != e21
    | h3(op1(e13,e12)) != e20
    | op2(e21,e22) != e23
    | op1(e11,e11) != e11 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1715,c_0_1716]),c_0_1643]),c_0_1329]),c_0_1717]) ).

cnf(c_0_1724,plain,
    ( op1(e11,e11) = e11
    | op1(e11,e11) = e13 ),
    inference(sr,[status(thm)],[c_0_1718,c_0_1580]) ).

cnf(c_0_1725,plain,
    ( op1(e13,e10) = e13
    | op1(e13,e11) = e13
    | op1(e13,e12) = e13
    | op1(e13,e13) = e13 ),
    i_0_18 ).

cnf(c_0_1726,plain,
    op1(e13,e12) != op1(e13,e13),
    i_0_97 ).

cnf(c_0_1727,plain,
    op2(e21,e23) != op2(e20,e23),
    i_0_174 ).

cnf(c_0_1728,plain,
    ( op1(e12,e12) = e10
    | op1(e12,e12) = e11
    | op1(e12,e12) = e12
    | op1(e12,e12) = e13 ),
    i_0_6 ).

cnf(c_0_1729,plain,
    op1(e12,e12) != e10,
    inference(rw,[status(thm)],[c_0_1719,c_0_1321]) ).

cnf(c_0_1730,plain,
    ( op1(e12,e12) != e12
    | op1(e12,e10) != e12 ),
    inference(spm,[status(thm)],[c_0_1720,c_0_1644]) ).

cnf(c_0_1731,plain,
    op1(e10,e10) != op1(e11,e10),
    i_0_144 ).

cnf(c_0_1732,plain,
    ( op1(e12,e10) = e13
    | op1(e12,e11) = e13
    | op1(e12,e12) = e13
    | op1(e12,e13) = e13 ),
    i_0_26 ).

cnf(c_0_1733,plain,
    ( op2(e21,e22) = e23
    | op2(e21,e20) = e23
    | op2(e20,e23) = e22
    | h2(e11) = e23 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1546,c_0_1721]),c_0_1244]) ).

cnf(c_0_1734,plain,
    ( op2(e21,e20) != e23
    | h3(e10) != e20 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1722,c_0_1634]),c_0_1272]) ).

cnf(c_0_1735,plain,
    ( op1(e11,e11) = e13
    | op1(e13,e12) = e13
    | h3(op1(e13,e10)) != e22
    | h3(op1(e13,e12)) != e20
    | op2(e21,e22) != e23 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1723,c_0_1724]),c_0_1677])]) ).

cnf(c_0_1736,plain,
    ( op1(e13,e10) = e13
    | op1(e13,e12) = e13 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1725,c_0_1297]),c_0_1308]),c_0_1311]),c_0_1327]) ).

cnf(c_0_1737,plain,
    ( op1(e13,e12) = e10
    | op1(e13,e12) = e11
    | op1(e13,e12) = e12
    | op1(e13,e12) = e13 ),
    i_0_2 ).

cnf(c_0_1738,plain,
    op1(e13,e12) != e11,
    inference(rw,[status(thm)],[c_0_1726,c_0_1297]) ).

cnf(c_0_1739,plain,
    ( op2(e21,e22) = e23
    | op2(e21,e20) = e23
    | h2(e11) = e23
    | op2(e20,e23) != e23 ),
    inference(spm,[status(thm)],[c_0_1727,c_0_1721]) ).

cnf(c_0_1740,plain,
    op1(e11,e12) != op1(e11,e13),
    i_0_109 ).

cnf(c_0_1741,plain,
    ( op1(e10,e12) = e11
    | op1(e11,e12) = e11
    | op1(e12,e12) = e11
    | op1(e13,e12) = e11 ),
    i_0_29 ).

cnf(c_0_1742,plain,
    ( op1(e10,e12) = e10
    | op1(e11,e12) = e10
    | op1(e12,e12) = e10
    | op1(e13,e12) = e10 ),
    i_0_31 ).

cnf(c_0_1743,plain,
    ( op1(e12,e12) = e12
    | op1(e12,e12) = e11
    | op1(e12,e12) = e13 ),
    inference(sr,[status(thm)],[c_0_1728,c_0_1729]) ).

cnf(c_0_1744,plain,
    op1(e12,e12) != e12,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1730,c_0_1645])]) ).

cnf(c_0_1745,plain,
    ( op1(e10,op1(e10,e12)) = e10
    | op1(e11,op1(e11,e12)) = e11
    | op1(e12,op1(e12,e12)) = e12
    | op1(e13,op1(e13,e12)) = e13 ),
    i_0_252 ).

cnf(c_0_1746,plain,
    op1(e11,e13) != op1(e13,e13),
    i_0_122 ).

cnf(c_0_1747,plain,
    ( op1(e10,e12) = e11
    | op1(e11,e10) != e11 ),
    inference(spm,[status(thm)],[c_0_1731,c_0_1616]) ).

cnf(c_0_1748,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    i_0_37 ).

cnf(c_0_1749,plain,
    ( op1(e12,e10) = e13
    | op1(e12,e12) = e13
    | op1(e12,e11) = e13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1732,c_0_1321]),c_0_1329]) ).

cnf(c_0_1750,plain,
    ( op2(e20,e23) = e22
    | op2(e21,e20) = e23
    | op2(e21,e22) = e23 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1733,c_0_1529]),c_0_1221]) ).

cnf(c_0_1751,plain,
    op2(e21,e20) != e23,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1734,c_0_1681])]) ).

cnf(c_0_1752,plain,
    ( op1(e13,e12) = e13
    | op1(e11,e11) = e13
    | h3(op1(e13,e12)) != e20
    | op2(e21,e22) != e23 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1735,c_0_1736]),c_0_1643])]) ).

cnf(c_0_1753,plain,
    ( op1(e13,e12) = e10
    | op1(e13,e12) = e13 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1737,c_0_1738]),c_0_1325]) ).

cnf(c_0_1754,plain,
    ( op2(e21,e20) = e23
    | op2(e21,e22) = e23
    | op2(e20,e23) != e23 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1739,c_0_1529]),c_0_1221]) ).

cnf(c_0_1755,plain,
    ( epred13_0
    | op2(e21,e20) != e23 ),
    inference(spm,[status(thm)],[c_0_1706,c_0_1265]) ).

cnf(c_0_1756,plain,
    ( op1(e11,e12) = e10
    | op1(e11,e12) = e11
    | op1(e11,e12) = e12
    | op1(e11,e12) = e13 ),
    i_0_10 ).

cnf(c_0_1757,plain,
    op1(e11,e12) != e12,
    inference(rw,[status(thm)],[c_0_1740,c_0_1494]) ).

cnf(c_0_1758,plain,
    ( op1(e10,e12) = e11
    | op1(e12,e12) = e11
    | op1(e11,e12) = e11 ),
    inference(sr,[status(thm)],[c_0_1741,c_0_1738]) ).

cnf(c_0_1759,plain,
    op1(e10,e12) != op1(e10,e11),
    i_0_117 ).

cnf(c_0_1760,plain,
    ( op1(e10,e12) = e10
    | op1(e11,e12) = e10
    | op1(e13,e12) = e10 ),
    inference(sr,[status(thm)],[c_0_1742,c_0_1729]) ).

cnf(c_0_1761,plain,
    ( op1(e12,e12) = e11
    | op1(e12,e12) = e13 ),
    inference(sr,[status(thm)],[c_0_1743,c_0_1744]) ).

cnf(c_0_1762,plain,
    ( op1(e12,op1(e12,e12)) = e12
    | op1(e11,op1(e11,e12)) = e11
    | op1(e13,op1(e13,e12)) = e13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1745,c_0_1656]),c_0_1656]),c_0_1377]) ).

cnf(c_0_1763,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e11) = e11
    | op1(e11,e12) = e11
    | op1(e11,e13) = e11 ),
    i_0_38 ).

cnf(c_0_1764,plain,
    op1(e11,e13) != e11,
    inference(rw,[status(thm)],[c_0_1746,c_0_1297]) ).

cnf(c_0_1765,plain,
    ( op1(e12,e10) != e12
    | op1(e11,e10) != e11 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1644,c_0_1747]),c_0_1359]) ).

cnf(c_0_1766,plain,
    ( op1(e10,op1(e10,e11)) = e10
    | op1(e11,op1(e11,e11)) = e11
    | op1(e12,op1(e12,e11)) = e12
    | op1(e13,op1(e13,e11)) = e13 ),
    i_0_253 ).

cnf(c_0_1767,plain,
    ( op1(e10,e11) = e11
    | op1(e12,e11) = e11
    | op1(e11,e11) = e11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1748,c_0_1308]),c_0_1359]) ).

cnf(c_0_1768,plain,
    op1(e12,e12) != op1(e13,e12),
    i_0_127 ).

cnf(c_0_1769,plain,
    ( op1(e12,e12) = e13
    | op1(e12,e11) = e13 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1749,c_0_1645]),c_0_1327]) ).

cnf(c_0_1770,plain,
    ( op2(e21,e22) = e23
    | op2(e20,e23) = e22 ),
    inference(sr,[status(thm)],[c_0_1750,c_0_1751]) ).

cnf(c_0_1771,plain,
    ( op2(e20,e22) = e23
    | op2(e20,e22) = e22
    | op2(e20,e22) = e21 ),
    inference(sr,[status(thm)],[c_0_1291,c_0_1637]) ).

cnf(c_0_1772,plain,
    op2(e20,e22) != e21,
    inference(rw,[status(thm)],[c_0_1312,c_0_1634]) ).

cnf(c_0_1773,plain,
    ( op1(e13,e12) = e13
    | op1(e11,e11) = e13
    | op2(e21,e22) != e23 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1752,c_0_1753]),c_0_1681])]),c_0_1329]) ).

cnf(c_0_1774,plain,
    ( op2(e21,e22) = e23
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1754,c_0_1398]),c_0_1755]) ).

cnf(c_0_1775,plain,
    op1(e11,e12) != op1(e13,e12),
    i_0_128 ).

cnf(c_0_1776,plain,
    ( op1(e11,e12) = e10
    | op1(e11,e12) = e11
    | op1(e11,e12) = e13 ),
    inference(sr,[status(thm)],[c_0_1756,c_0_1757]) ).

cnf(c_0_1777,plain,
    ( op1(e12,e12) = e11
    | op1(e11,e12) = e11 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1758,c_0_1656]),c_0_1359]) ).

cnf(c_0_1778,plain,
    ( op1(e11,e12) = e10
    | op1(e13,e12) = e10
    | op1(e10,e11) != e10 ),
    inference(spm,[status(thm)],[c_0_1759,c_0_1760]) ).

cnf(c_0_1779,plain,
    ( op1(e12,e12) = e13
    | op1(e12,e11) != e11 ),
    inference(spm,[status(thm)],[c_0_1704,c_0_1761]) ).

cnf(c_0_1780,plain,
    ( op1(e13,op1(e13,e12)) = e13
    | op1(e11,op1(e11,e12)) = e11
    | op1(e12,e11) = e11 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1762,c_0_1693]),c_0_1348]) ).

cnf(c_0_1781,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e12) = e11
    | op1(e11,e11) = e11 ),
    inference(sr,[status(thm)],[c_0_1763,c_0_1764]) ).

cnf(c_0_1782,plain,
    op1(e11,e10) != e11,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1765,c_0_1645])]) ).

cnf(c_0_1783,plain,
    ( op1(e10,op1(e10,e11)) = e10
    | op1(e12,op1(e12,e11)) = e12
    | op1(e11,op1(e11,e11)) = e11
    | op1(e13,e12) = e13 ),
    inference(rw,[status(thm)],[c_0_1766,c_0_1308]) ).

cnf(c_0_1784,plain,
    ( op1(e12,e11) = e11
    | op1(e11,e11) = e11 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1767,c_0_1601]),c_0_1402]) ).

cnf(c_0_1785,plain,
    ( op1(e12,e11) = e13
    | op1(e13,e12) != e13 ),
    inference(spm,[status(thm)],[c_0_1768,c_0_1769]) ).

cnf(c_0_1786,plain,
    ( op2(e21,e22) = e23
    | op2(e20,e22) != e22 ),
    inference(spm,[status(thm)],[c_0_1283,c_0_1770]) ).

cnf(c_0_1787,plain,
    ( op2(e20,e22) = e22
    | op2(e20,e22) = e23 ),
    inference(sr,[status(thm)],[c_0_1771,c_0_1772]) ).

cnf(c_0_1788,plain,
    ( op1(e11,e11) = e13
    | op1(e13,e12) = e13
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_1773,c_0_1774]) ).

cnf(c_0_1789,plain,
    op1(e11,e12) != op1(e11,e11),
    i_0_111 ).

cnf(c_0_1790,plain,
    ( op1(e11,e12) = e13
    | op1(e11,e12) = e11
    | op1(e13,e12) != e10 ),
    inference(spm,[status(thm)],[c_0_1775,c_0_1776]) ).

cnf(c_0_1791,plain,
    ( op1(e13,op1(e13,e12)) = e13
    | op1(e11,op1(e11,e12)) = e11
    | op1(e11,e12) = e11 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1762,c_0_1777]),c_0_1348]) ).

cnf(c_0_1792,plain,
    ( op1(e13,e12) = e10
    | op1(e11,e12) = e10 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1778,c_0_1601])]) ).

cnf(c_0_1793,plain,
    ( op1(e13,op1(e13,e12)) = e13
    | op1(e11,op1(e11,e12)) = e11 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1762,c_0_1779]),c_0_1321]),c_0_1377]),c_0_1780]) ).

cnf(c_0_1794,plain,
    ( op1(e11,e12) = e11
    | op1(e11,e11) = e11 ),
    inference(sr,[status(thm)],[c_0_1781,c_0_1782]) ).

cnf(c_0_1795,plain,
    ( op1(e12,op1(e12,e11)) = e12
    | op1(e11,op1(e11,e11)) = e11
    | op1(e13,e12) = e13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1783,c_0_1601]),c_0_1666]),c_0_1402]) ).

cnf(c_0_1796,plain,
    ( op1(e11,e11) = e11
    | op1(e13,e12) != e13 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1784,c_0_1785]),c_0_1311]) ).

cnf(c_0_1797,plain,
    ( op1(e11,e11) = e13
    | op1(e13,e12) = e13
    | op2(e20,e22) != e22 ),
    inference(spm,[status(thm)],[c_0_1773,c_0_1786]) ).

cnf(c_0_1798,plain,
    ( op2(e20,e22) = e22
    | ~ epred12_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1269,c_0_1787]),c_0_1244]),c_0_1585]) ).

cnf(c_0_1799,plain,
    ( op1(e13,e12) = e13
    | op1(e11,e11) = e13
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_1218,c_0_1788]) ).

cnf(c_0_1800,plain,
    ( op1(e11,e12) = e13
    | op1(e11,e11) != e11
    | op1(e13,e12) != e10 ),
    inference(spm,[status(thm)],[c_0_1789,c_0_1790]) ).

cnf(c_0_1801,plain,
    ( op1(e13,op1(e13,e12)) = e13
    | op1(e13,e12) = e10 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1791,c_0_1792]),c_0_1782]),c_0_1402]) ).

cnf(c_0_1802,plain,
    ( op1(e13,op1(e13,e12)) = e13
    | op1(e11,e11) = e11 ),
    inference(spm,[status(thm)],[c_0_1793,c_0_1794]) ).

cnf(c_0_1803,plain,
    ( op1(e11,op1(e11,e11)) = e11
    | op1(e11,e11) = e11 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1795,c_0_1784]),c_0_1348]),c_0_1796]) ).

cnf(c_0_1804,plain,
    ( op1(e13,e12) = e13
    | op1(e11,e11) = e13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1797,c_0_1798]),c_0_1799]) ).

cnf(c_0_1805,plain,
    op1(e13,op1(e13,e12)) = e13,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1793,c_0_1800]),c_0_1494]),c_0_1359]),c_0_1801]),c_0_1802]) ).

cnf(c_0_1806,plain,
    op1(e13,e12) = e13,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1803,c_0_1804]),c_0_1494]),c_0_1359]),c_0_1311]) ).

cnf(c_0_1807,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1805,c_0_1806]),c_0_1297]),c_0_1311]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : ALG106+1 : TPTP v8.1.0. Released v2.7.0.
% 0.00/0.10  % Command  : enigmatic-eprover.py %s %d 1
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 600
% 0.09/0.29  % DateTime : Wed Jun  8 22:41:23 EDT 2022
% 0.09/0.29  % CPUTime  : 
% 0.14/0.37  # ENIGMATIC: Selected complete mode:
% 11.32/2.88  # ENIGMATIC: Solved by autoschedule:
% 11.32/2.88  # No SInE strategy applied
% 11.32/2.88  # Trying AutoSched0 for 150 seconds
% 11.32/2.88  # AutoSched0-Mode selected heuristic C07_19_nc_SAT001_MinMin_rr
% 11.32/2.88  # and selection function SelectMaxLComplexAvoidPosPred.
% 11.32/2.88  #
% 11.32/2.88  # Preprocessing time       : 0.071 s
% 11.32/2.88  # Presaturation interreduction done
% 11.32/2.88  
% 11.32/2.88  # Proof found!
% 11.32/2.88  # SZS status Theorem
% 11.32/2.88  # SZS output start CNFRefutation
% See solution above
% 11.32/2.88  # Training examples: 0 positive, 0 negative
% 11.32/2.88  
% 11.32/2.88  # -------------------------------------------------
% 11.32/2.88  # User time                : 0.342 s
% 11.32/2.88  # System time              : 0.010 s
% 11.32/2.88  # Total time               : 0.352 s
% 11.32/2.88  # Maximum resident set size: 7124 pages
% 11.32/2.88  
%------------------------------------------------------------------------------