TSTP Solution File: ALG123+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG123+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 14 15:01:03 EDT 2022

% Result   : Theorem 7.83s 2.65s
% Output   : CNFRefutation 7.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :  131
% Syntax   : Number of clauses     :  447 ( 214 unt; 138 nHn; 447 RR)
%            Number of literals    :  977 ( 826 equ; 390 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_308,plain,
    op2(op2(e23,e23),e23) = e22,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_308) ).

cnf(i_0_310,plain,
    op2(e23,e23) = e20,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_310) ).

cnf(i_0_309,plain,
    op2(op2(op2(e23,e23),e23),e23) = e21,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_309) ).

cnf(i_0_305,plain,
    op1(op1(e13,e13),e13) = e12,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_305) ).

cnf(i_0_307,plain,
    op1(e13,e13) = e10,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_307) ).

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-c1qpgv6w/input.p',i_0_65) ).

cnf(i_0_199,plain,
    e23 != e22,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_199) ).

cnf(i_0_200,plain,
    e23 != e21,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_200) ).

cnf(i_0_202,plain,
    e23 != e20,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_202) ).

cnf(i_0_173,plain,
    op2(e22,e23) != op2(e20,e23),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_173) ).

cnf(i_0_266,plain,
    ( op2(e23,e20) = e23
    | op2(e23,e23) != e20 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_266) ).

cnf(i_0_306,plain,
    op1(op1(op1(e13,e13),e13),e13) = e11,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_306) ).

cnf(i_0_158,plain,
    op2(e21,e23) != op2(e21,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_158) ).

cnf(i_0_317,plain,
    op2(e21,e21) = h2(e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_317) ).

cnf(i_0_157,plain,
    op2(e21,e23) != op2(e21,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_157) ).

cnf(i_0_267,plain,
    ( op2(e22,e23) = e22
    | op2(e22,e22) != e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_267) ).

cnf(i_0_321,plain,
    op2(e22,e22) = h3(e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_321) ).

cnf(i_0_149,plain,
    op2(e23,e22) != op2(e23,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_149) ).

cnf(i_0_163,plain,
    op2(e20,e23) != op2(e20,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_163) ).

cnf(i_0_518,plain,
    ( op2(e23,e20) != e23
    | op2(e23,e23) != e20
    | ~ epred8_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_518) ).

cnf(i_0_224,plain,
    ( op1(e13,e10) = e13
    | op1(e13,e13) != e10 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_224) ).

cnf(i_0_125,plain,
    op1(e12,e13) != op1(e10,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_125) ).

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-c1qpgv6w/input.p',i_0_17) ).

cnf(i_0_196,plain,
    e10 != e13,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_196) ).

cnf(i_0_193,plain,
    e12 != e13,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_193) ).

cnf(i_0_194,plain,
    e11 != e13,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_194) ).

cnf(i_0_150,plain,
    op2(e23,e21) != op2(e23,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_150) ).

cnf(i_0_73,plain,
    ( op2(e20,e22) = e23
    | op2(e21,e22) = e23
    | op2(e22,e22) = e23
    | op2(e23,e22) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_73) ).

cnf(i_0_182,plain,
    op2(e23,e21) != op2(e21,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_182) ).

cnf(i_0_692,plain,
    ( op2(e23,e20) = e20
    | op2(e23,e21) = e21
    | epred13_0
    | ~ epred14_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_692) ).

cnf(i_0_175,plain,
    op2(e23,e22) != op2(e22,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_175) ).

cnf(i_0_304,plain,
    ( op2(e23,e22) = e22
    | op2(e23,e23) = e23
    | epred14_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_304) ).

cnf(i_0_580,plain,
    ( epred9_0
    | op2(e21,e21) != e21
    | ~ epred10_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_580) ).

cnf(i_0_567,plain,
    ( op2(e20,e22) = e22
    | op2(e20,e23) = e23
    | epred8_0
    | ~ epred9_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_567) ).

cnf(i_0_101,plain,
    op1(e13,e12) != op1(e13,e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_101) ).

cnf(i_0_225,plain,
    ( op1(e12,e13) = e12
    | op1(e12,e12) != e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_225) ).

cnf(i_0_109,plain,
    op1(e11,e12) != op1(e11,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_109) ).

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-c1qpgv6w/input.p',i_0_81) ).

cnf(i_0_165,plain,
    op2(e20,e22) != op2(e20,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_165) ).

cnf(i_0_649,plain,
    ( epred12_0
    | op2(e22,e22) != e22
    | ~ epred13_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_649) ).

cnf(i_0_605,plain,
    ( epred10_0
    | op2(e21,e21) != e21
    | ~ epred11_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_605) ).

cnf(i_0_151,plain,
    op2(e22,e23) != op2(e22,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_151) ).

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-c1qpgv6w/input.p',i_0_25) ).

cnf(i_0_667,plain,
    ( op2(e22,e22) = e22
    | op2(e22,e23) = e23
    | epred12_0
    | ~ epred13_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_667) ).

cnf(i_0_624,plain,
    ( epred11_0
    | op2(e22,e22) != e22
    | ~ epred12_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_624) ).

cnf(i_0_102,plain,
    op1(e13,e11) != op1(e13,e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_102) ).

cnf(i_0_117,plain,
    op1(e10,e11) != op1(e10,e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_117) ).

cnf(i_0_110,plain,
    op1(e11,e11) != op1(e11,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_110) ).

cnf(i_0_343,plain,
    ( op1(e13,e10) != e13
    | op1(e13,e13) != e10
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_343) ).

cnf(i_0_155,plain,
    op2(e22,e22) != op2(e22,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_155) ).

cnf(i_0_642,plain,
    ( op2(e22,e20) = e20
    | op2(e22,e21) = e21
    | epred11_0
    | ~ epred12_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_642) ).

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-c1qpgv6w/input.p',i_0_54) ).

cnf(i_0_33,plain,
    ( op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_33) ).

cnf(i_0_98,plain,
    op1(e13,e11) != op1(e13,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_98) ).

cnf(i_0_116,plain,
    op1(e10,e11) != op1(e10,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_116) ).

cnf(i_0_368,plain,
    ( epred1_0
    | op1(e13,e10) != e13
    | op1(e13,e13) != e10
    | ~ epred2_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_368) ).

cnf(i_0_70,plain,
    ( op2(e23,e20) = e21
    | op2(e23,e21) = e21
    | op2(e23,e22) = e21
    | op2(e23,e23) = e21 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_70) ).

cnf(i_0_204,plain,
    e21 != e20,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_204) ).

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-c1qpgv6w/input.p',i_0_39) ).

cnf(i_0_35,plain,
    ( op1(e10,e11) = e12
    | op1(e11,e11) = e12
    | op1(e12,e11) = e12
    | op1(e13,e11) = e12 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_35) ).

cnf(i_0_411,plain,
    ( epred2_0
    | op1(e10,e10) != e11
    | op1(e10,e11) != e10
    | ~ epred3_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_411) ).

cnf(i_0_235,plain,
    ( op1(e10,e11) = e10
    | op1(e10,e10) != e11 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_235) ).

cnf(i_0_142,plain,
    op1(e10,e10) != op1(e13,e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_142) ).

cnf(i_0_118,plain,
    op1(e10,e10) != op1(e10,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_118) ).

cnf(i_0_201,plain,
    e22 != e21,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_201) ).

cnf(i_0_145,plain,
    op2(e23,e23) != op2(e23,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_145) ).

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-c1qpgv6w/input.p',i_0_15) ).

cnf(i_0_103,plain,
    op1(e12,e12) != op1(e12,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_103) ).

cnf(i_0_405,plain,
    ( epred2_0
    | op1(e11,e11) != e11
    | ~ epred3_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_405) ).

cnf(i_0_197,plain,
    e12 != e10,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_197) ).

cnf(i_0_436,plain,
    ( epred3_0
    | op1(e10,e10) != e11
    | op1(e10,e11) != e10
    | ~ epred4_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_436) ).

cnf(i_0_16,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e10) = e11
    | op1(e10,e10) = e12
    | op1(e10,e10) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_16) ).

cnf(i_0_279,plain,
    ( op2(e20,e20) = e20
    | op2(e21,e21) = e21
    | op2(e22,e22) = e22
    | op2(e23,e23) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_279) ).

cnf(i_0_313,plain,
    op2(e20,e20) = h1(e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_313) ).

cnf(i_0_272,plain,
    ( op2(e21,e22) = e21
    | op2(e21,e21) != e22 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_272) ).

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-c1qpgv6w/input.p',i_0_79) ).

cnf(i_0_159,plain,
    op2(e21,e22) != op2(e21,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_159) ).

cnf(i_0_97,plain,
    op1(e13,e12) != op1(e13,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_97) ).

cnf(i_0_136,plain,
    op1(e10,e11) != op1(e13,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_136) ).

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-c1qpgv6w/input.p',i_0_29) ).

cnf(i_0_106,plain,
    op1(e12,e10) != op1(e12,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_106) ).

cnf(i_0_430,plain,
    ( epred3_0
    | op1(e11,e11) != e11
    | ~ epred4_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_430) ).

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-c1qpgv6w/input.p',i_0_11) ).

cnf(i_0_120,plain,
    op1(e10,e11) != op1(e10,e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_120) ).

cnf(i_0_146,plain,
    op2(e23,e23) != op2(e23,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_146) ).

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-c1qpgv6w/input.p',i_0_59) ).

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-c1qpgv6w/input.p',i_0_31) ).

cnf(i_0_237,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e11) = e11
    | op1(e12,e12) = e12
    | op1(e13,e13) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_237) ).

cnf(i_0_113,plain,
    op1(e11,e12) != op1(e11,e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_113) ).

cnf(i_0_45,plain,
    ( op1(e10,e10) = e11
    | op1(e11,e10) = e11
    | op1(e12,e10) = e11
    | op1(e13,e10) = e11 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_45) ).

cnf(i_0_168,plain,
    op2(e20,e21) != op2(e20,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_168) ).

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-c1qpgv6w/input.p',i_0_87) ).

cnf(i_0_203,plain,
    e22 != e20,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_203) ).

cnf(i_0_154,plain,
    op2(e22,e23) != op2(e22,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_154) ).

cnf(i_0_198,plain,
    e11 != e10,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_198) ).

cnf(i_0_134,plain,
    op1(e11,e11) != op1(e13,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_134) ).

cnf(i_0_22,plain,
    ( op1(e13,e10) = e11
    | op1(e13,e11) = e11
    | op1(e13,e12) = e11
    | op1(e13,e13) = e11 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_22) ).

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-c1qpgv6w/input.p',i_0_38) ).

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-c1qpgv6w/input.p',i_0_36) ).

cnf(i_0_161,plain,
    op2(e21,e22) != op2(e21,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_161) ).

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-c1qpgv6w/input.p',i_0_93) ).

cnf(i_0_319,plain,
    op2(op2(e22,e22),e22) = h3(e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_319) ).

cnf(i_0_492,plain,
    ( op1(e12,e12) = e12
    | op1(e12,e13) = e13
    | epred5_0
    | ~ epred6_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_492) ).

cnf(i_0_474,plain,
    ( epred5_0
    | op1(e12,e12) != e12
    | ~ epred6_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_474) ).

cnf(i_0_262,plain,
    ( op1(e13,e12) = e12
    | op1(e13,e13) = e13
    | epred7_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_262) ).

cnf(i_0_20,plain,
    ( op1(e13,e10) = e12
    | op1(e13,e11) = e12
    | op1(e13,e12) = e12
    | op1(e13,e13) = e12 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_20) ).

cnf(i_0_164,plain,
    op2(e20,e23) != op2(e20,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_164) ).

cnf(i_0_270,plain,
    ( op2(e22,e20) = e22
    | op2(e22,e22) != e20 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_270) ).

cnf(i_0_517,plain,
    ( op1(e13,e10) = e10
    | op1(e13,e11) = e11
    | epred6_0
    | ~ epred7_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_517) ).

cnf(i_0_195,plain,
    e11 != e12,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_195) ).

cnf(i_0_128,plain,
    op1(e11,e12) != op1(e13,e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_128) ).

cnf(i_0_129,plain,
    op1(e11,e12) != op1(e12,e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_129) ).

cnf(i_0_325,plain,
    op2(e23,e23) = h4(e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_325) ).

cnf(i_0_323,plain,
    op2(op2(e23,e23),e23) = h4(e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_323) ).

cnf(i_0_324,plain,
    op2(op2(op2(e23,e23),e23),e23) = h4(e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_324) ).

cnf(i_0_327,negated_conjecture,
    ( h4(e13) != e23
    | ~ epred18_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_327) ).

cnf(i_0_326,plain,
    h4(e13) = e23,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_326) ).

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-c1qpgv6w/input.p',i_0_76) ).

cnf(i_0_83,plain,
    ( op2(e20,e21) = e22
    | op2(e21,e21) = e22
    | op2(e22,e21) = e22
    | op2(e23,e21) = e22 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_83) ).

cnf(i_0_320,plain,
    op2(op2(op2(e22,e22),e22),e22) = h3(e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_320) ).

cnf(i_0_84,plain,
    ( op2(e21,e20) = e22
    | op2(e21,e21) = e22
    | op2(e21,e22) = e22
    | op2(e21,e23) = e22 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_84) ).

cnf(i_0_189,plain,
    op2(e22,e20) != op2(e21,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_189) ).

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-c1qpgv6w/input.p',i_0_46) ).

cnf(i_0_449,plain,
    ( epred4_0
    | op1(e12,e12) != e12
    | ~ epred5_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_449) ).

cnf(i_0_942,plain,
    ( epred18_0
    | h4(e10) != e20
    | h4(e11) != e21
    | h4(e12) != e22
    | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
    | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
    | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
    | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
    | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
    | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
    | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
    | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
    | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
    | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
    | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
    | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
    | h4(op1(e13,e13)) != op2(h4(e13),h4(e13)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_942) ).

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-c1qpgv6w/input.p',i_0_94) ).

cnf(i_0_467,plain,
    ( op1(e12,e10) = e10
    | op1(e12,e11) = e11
    | epred4_0
    | ~ epred5_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_467) ).

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-c1qpgv6w/input.p',i_0_28) ).

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-c1qpgv6w/input.p',i_0_37) ).

cnf(i_0_27,plain,
    ( op1(e10,e12) = e12
    | op1(e11,e12) = e12
    | op1(e12,e12) = e12
    | op1(e13,e12) = e12 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c1qpgv6w/input.p',i_0_27) ).

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-c1qpgv6w/input.p',i_0_6) ).

cnf(c_0_1074,plain,
    op2(op2(e23,e23),e23) = e22,
    i_0_308 ).

cnf(c_0_1075,plain,
    op2(e23,e23) = e20,
    i_0_310 ).

cnf(c_0_1076,plain,
    op2(op2(op2(e23,e23),e23),e23) = e21,
    i_0_309 ).

cnf(c_0_1077,plain,
    op2(e20,e23) = e22,
    inference(rw,[status(thm)],[c_0_1074,c_0_1075]) ).

cnf(c_0_1078,plain,
    op1(op1(e13,e13),e13) = e12,
    i_0_305 ).

cnf(c_0_1079,plain,
    op1(e13,e13) = e10,
    i_0_307 ).

cnf(c_0_1080,plain,
    ( op2(e20,e23) = e23
    | op2(e21,e23) = e23
    | op2(e22,e23) = e23
    | op2(e23,e23) = e23 ),
    i_0_65 ).

cnf(c_0_1081,plain,
    op2(e22,e23) = e21,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1076,c_0_1075]),c_0_1077]) ).

cnf(c_0_1082,plain,
    e23 != e22,
    i_0_199 ).

cnf(c_0_1083,plain,
    e23 != e21,
    i_0_200 ).

cnf(c_0_1084,plain,
    e23 != e20,
    i_0_202 ).

cnf(c_0_1085,plain,
    op2(e22,e23) != op2(e20,e23),
    i_0_173 ).

cnf(c_0_1086,plain,
    ( op2(e23,e20) = e23
    | op2(e23,e23) != e20 ),
    i_0_266 ).

cnf(c_0_1087,plain,
    op1(op1(op1(e13,e13),e13),e13) = e11,
    i_0_306 ).

cnf(c_0_1088,plain,
    op1(e10,e13) = e12,
    inference(rw,[status(thm)],[c_0_1078,c_0_1079]) ).

cnf(c_0_1089,plain,
    op2(e21,e23) != op2(e21,e21),
    i_0_158 ).

cnf(c_0_1090,plain,
    op2(e21,e21) = h2(e10),
    i_0_317 ).

cnf(c_0_1091,plain,
    op2(e21,e23) != op2(e21,e22),
    i_0_157 ).

cnf(c_0_1092,plain,
    op2(e21,e23) = e23,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1080,c_0_1077]),c_0_1081]),c_0_1075]),c_0_1082]),c_0_1083]),c_0_1084]) ).

cnf(c_0_1093,plain,
    ( op2(e22,e23) = e22
    | op2(e22,e22) != e23 ),
    i_0_267 ).

cnf(c_0_1094,plain,
    op2(e22,e22) = h3(e10),
    i_0_321 ).

cnf(c_0_1095,plain,
    op2(e22,e23) != e22,
    inference(rw,[status(thm)],[c_0_1085,c_0_1077]) ).

cnf(c_0_1096,plain,
    op2(e23,e22) != op2(e23,e20),
    i_0_149 ).

cnf(c_0_1097,plain,
    op2(e23,e20) = e23,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1086,c_0_1075])]) ).

cnf(c_0_1098,plain,
    op2(e20,e23) != op2(e20,e22),
    i_0_163 ).

cnf(c_0_1099,plain,
    ( op2(e23,e20) != e23
    | op2(e23,e23) != e20
    | ~ epred8_0 ),
    i_0_518 ).

cnf(c_0_1100,plain,
    ( op1(e13,e10) = e13
    | op1(e13,e13) != e10 ),
    i_0_224 ).

cnf(c_0_1101,plain,
    op1(e12,e13) != op1(e10,e13),
    i_0_125 ).

cnf(c_0_1102,plain,
    ( op1(e10,e13) = e13
    | op1(e11,e13) = e13
    | op1(e12,e13) = e13
    | op1(e13,e13) = e13 ),
    i_0_17 ).

cnf(c_0_1103,plain,
    op1(e12,e13) = e11,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1087,c_0_1079]),c_0_1088]) ).

cnf(c_0_1104,plain,
    e10 != e13,
    i_0_196 ).

cnf(c_0_1105,plain,
    e12 != e13,
    i_0_193 ).

cnf(c_0_1106,plain,
    e11 != e13,
    i_0_194 ).

cnf(c_0_1107,plain,
    op2(e21,e23) != h2(e10),
    inference(rw,[status(thm)],[c_0_1089,c_0_1090]) ).

cnf(c_0_1108,plain,
    op2(e23,e21) != op2(e23,e20),
    i_0_150 ).

cnf(c_0_1109,plain,
    ( op2(e20,e22) = e23
    | op2(e21,e22) = e23
    | op2(e22,e22) = e23
    | op2(e23,e22) = e23 ),
    i_0_73 ).

cnf(c_0_1110,plain,
    op2(e21,e22) != e23,
    inference(rw,[status(thm)],[c_0_1091,c_0_1092]) ).

cnf(c_0_1111,plain,
    h3(e10) != e23,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1093,c_0_1094]),c_0_1095]) ).

cnf(c_0_1112,plain,
    op2(e23,e22) != e23,
    inference(rw,[status(thm)],[c_0_1096,c_0_1097]) ).

cnf(c_0_1113,plain,
    op2(e23,e21) != op2(e21,e21),
    i_0_182 ).

cnf(c_0_1114,plain,
    ( op2(e23,e20) = e20
    | op2(e23,e21) = e21
    | epred13_0
    | ~ epred14_0 ),
    i_0_692 ).

cnf(c_0_1115,plain,
    op2(e23,e22) != op2(e22,e22),
    i_0_175 ).

cnf(c_0_1116,plain,
    ( op2(e23,e22) = e22
    | op2(e23,e23) = e23
    | epred14_0 ),
    i_0_304 ).

cnf(c_0_1117,plain,
    ( epred9_0
    | op2(e21,e21) != e21
    | ~ epred10_0 ),
    i_0_580 ).

cnf(c_0_1118,plain,
    ( op2(e20,e22) = e22
    | op2(e20,e23) = e23
    | epred8_0
    | ~ epred9_0 ),
    i_0_567 ).

cnf(c_0_1119,plain,
    op2(e20,e22) != e22,
    inference(rw,[status(thm)],[c_0_1098,c_0_1077]) ).

cnf(c_0_1120,plain,
    ~ epred8_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1099,c_0_1097]),c_0_1075])]) ).

cnf(c_0_1121,plain,
    op1(e13,e12) != op1(e13,e10),
    i_0_101 ).

cnf(c_0_1122,plain,
    op1(e13,e10) = e13,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1100,c_0_1079])]) ).

cnf(c_0_1123,plain,
    ( op1(e12,e13) = e12
    | op1(e12,e12) != e13 ),
    i_0_225 ).

cnf(c_0_1124,plain,
    op1(e12,e13) != e12,
    inference(rw,[status(thm)],[c_0_1101,c_0_1088]) ).

cnf(c_0_1125,plain,
    op1(e11,e12) != op1(e11,e13),
    i_0_109 ).

cnf(c_0_1126,plain,
    op1(e11,e13) = e13,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1102,c_0_1079]),c_0_1088]),c_0_1103]),c_0_1104]),c_0_1105]),c_0_1106]) ).

cnf(c_0_1127,plain,
    ( op2(e20,e21) = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    i_0_81 ).

cnf(c_0_1128,plain,
    h2(e10) != e23,
    inference(rw,[status(thm)],[c_0_1107,c_0_1092]) ).

cnf(c_0_1129,plain,
    op2(e23,e21) != e23,
    inference(rw,[status(thm)],[c_0_1108,c_0_1097]) ).

cnf(c_0_1130,plain,
    op2(e20,e22) != op2(e20,e21),
    i_0_165 ).

cnf(c_0_1131,plain,
    op2(e20,e22) = e23,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1109,c_0_1094]),c_0_1110]),c_0_1111]),c_0_1112]) ).

cnf(c_0_1132,plain,
    ( epred12_0
    | op2(e22,e22) != e22
    | ~ epred13_0 ),
    i_0_649 ).

cnf(c_0_1133,plain,
    op2(e23,e21) != h2(e10),
    inference(rw,[status(thm)],[c_0_1113,c_0_1090]) ).

cnf(c_0_1134,plain,
    ( op2(e23,e21) = e21
    | epred13_0
    | ~ epred14_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1114,c_0_1097]),c_0_1084]) ).

cnf(c_0_1135,plain,
    op2(e23,e22) != h3(e10),
    inference(rw,[status(thm)],[c_0_1115,c_0_1094]) ).

cnf(c_0_1136,plain,
    ( op2(e23,e22) = e22
    | epred14_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1116,c_0_1075]),c_0_1084]) ).

cnf(c_0_1137,plain,
    ( epred10_0
    | op2(e21,e21) != e21
    | ~ epred11_0 ),
    i_0_605 ).

cnf(c_0_1138,plain,
    ( epred9_0
    | h2(e10) != e21
    | ~ epred10_0 ),
    inference(rw,[status(thm)],[c_0_1117,c_0_1090]) ).

cnf(c_0_1139,plain,
    ~ epred9_0,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1118,c_0_1077]),c_0_1119]),c_0_1082]),c_0_1120]) ).

cnf(c_0_1140,plain,
    op2(e22,e23) != op2(e22,e22),
    i_0_151 ).

cnf(c_0_1141,plain,
    ( op1(e10,e12) = e13
    | op1(e11,e12) = e13
    | op1(e12,e12) = e13
    | op1(e13,e12) = e13 ),
    i_0_25 ).

cnf(c_0_1142,plain,
    op1(e13,e12) != e13,
    inference(rw,[status(thm)],[c_0_1121,c_0_1122]) ).

cnf(c_0_1143,plain,
    op1(e12,e12) != e13,
    inference(sr,[status(thm)],[c_0_1123,c_0_1124]) ).

cnf(c_0_1144,plain,
    op1(e11,e12) != e13,
    inference(rw,[status(thm)],[c_0_1125,c_0_1126]) ).

cnf(c_0_1145,plain,
    ( op2(e22,e21) = e23
    | op2(e20,e21) = e23 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1127,c_0_1090]),c_0_1128]),c_0_1129]) ).

cnf(c_0_1146,plain,
    op2(e20,e21) != e23,
    inference(rw,[status(thm)],[c_0_1130,c_0_1131]) ).

cnf(c_0_1147,plain,
    ( op2(e22,e22) = e22
    | op2(e22,e23) = e23
    | epred12_0
    | ~ epred13_0 ),
    i_0_667 ).

cnf(c_0_1148,plain,
    ( epred12_0
    | h3(e10) != e22
    | ~ epred13_0 ),
    inference(rw,[status(thm)],[c_0_1132,c_0_1094]) ).

cnf(c_0_1149,plain,
    ( epred11_0
    | op2(e22,e22) != e22
    | ~ epred12_0 ),
    i_0_624 ).

cnf(c_0_1150,plain,
    ( epred13_0
    | h2(e10) != e21
    | ~ epred14_0 ),
    inference(spm,[status(thm)],[c_0_1133,c_0_1134]) ).

cnf(c_0_1151,plain,
    ( epred14_0
    | h3(e10) != e22 ),
    inference(spm,[status(thm)],[c_0_1135,c_0_1136]) ).

cnf(c_0_1152,plain,
    ( epred10_0
    | h2(e10) != e21
    | ~ epred11_0 ),
    inference(rw,[status(thm)],[c_0_1137,c_0_1090]) ).

cnf(c_0_1153,plain,
    ( h2(e10) != e21
    | ~ epred10_0 ),
    inference(sr,[status(thm)],[c_0_1138,c_0_1139]) ).

cnf(c_0_1154,plain,
    op2(e22,e23) != h3(e10),
    inference(rw,[status(thm)],[c_0_1140,c_0_1094]) ).

cnf(c_0_1155,plain,
    op1(e13,e11) != op1(e13,e10),
    i_0_102 ).

cnf(c_0_1156,plain,
    op1(e10,e11) != op1(e10,e12),
    i_0_117 ).

cnf(c_0_1157,plain,
    op1(e10,e12) = e13,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1141,c_0_1142]),c_0_1143]),c_0_1144]) ).

cnf(c_0_1158,plain,
    op1(e11,e11) != op1(e11,e13),
    i_0_110 ).

cnf(c_0_1159,plain,
    ( op1(e13,e10) != e13
    | op1(e13,e13) != e10
    | ~ epred1_0 ),
    i_0_343 ).

cnf(c_0_1160,plain,
    op2(e22,e22) != op2(e22,e20),
    i_0_155 ).

cnf(c_0_1161,plain,
    op2(e22,e21) = e23,
    inference(sr,[status(thm)],[c_0_1145,c_0_1146]) ).

cnf(c_0_1162,plain,
    ( op2(e22,e20) = e20
    | op2(e22,e21) = e21
    | epred11_0
    | ~ epred12_0 ),
    i_0_642 ).

cnf(c_0_1163,plain,
    ( op2(e22,e23) = e23
    | epred12_0
    | ~ epred13_0 ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_1147,c_0_1094]),c_0_1148]) ).

cnf(c_0_1164,plain,
    ( epred11_0
    | h3(e10) != e22
    | ~ epred12_0 ),
    inference(rw,[status(thm)],[c_0_1149,c_0_1094]) ).

cnf(c_0_1165,plain,
    ( epred12_0
    | h3(e10) != e22
    | h2(e10) != e21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1148,c_0_1150]),c_0_1151]) ).

cnf(c_0_1166,plain,
    ( h2(e10) != e21
    | ~ epred11_0 ),
    inference(csr,[status(thm)],[c_0_1152,c_0_1153]) ).

cnf(c_0_1167,plain,
    ( op2(e22,e22) = e20
    | op2(e22,e22) = e21
    | op2(e22,e22) = e22
    | op2(e22,e22) = e23 ),
    i_0_54 ).

cnf(c_0_1168,plain,
    h3(e10) != e21,
    inference(rw,[status(thm)],[c_0_1154,c_0_1081]) ).

cnf(c_0_1169,plain,
    ( op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    i_0_33 ).

cnf(c_0_1170,plain,
    op1(e13,e11) != e13,
    inference(rw,[status(thm)],[c_0_1155,c_0_1122]) ).

cnf(c_0_1171,plain,
    op1(e10,e11) != e13,
    inference(rw,[status(thm)],[c_0_1156,c_0_1157]) ).

cnf(c_0_1172,plain,
    op1(e11,e11) != e13,
    inference(rw,[status(thm)],[c_0_1158,c_0_1126]) ).

cnf(c_0_1173,plain,
    op1(e13,e11) != op1(e13,e13),
    i_0_98 ).

cnf(c_0_1174,plain,
    op1(e10,e11) != op1(e10,e13),
    i_0_116 ).

cnf(c_0_1175,plain,
    ( epred1_0
    | op1(e13,e10) != e13
    | op1(e13,e13) != e10
    | ~ epred2_0 ),
    i_0_368 ).

cnf(c_0_1176,plain,
    ~ epred1_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1159,c_0_1079]),c_0_1122])]) ).

cnf(c_0_1177,plain,
    ( op2(e23,e20) = e21
    | op2(e23,e21) = e21
    | op2(e23,e22) = e21
    | op2(e23,e23) = e21 ),
    i_0_70 ).

cnf(c_0_1178,plain,
    e21 != e20,
    i_0_204 ).

cnf(c_0_1179,plain,
    op2(e22,e20) != h3(e10),
    inference(rw,[status(thm)],[c_0_1160,c_0_1094]) ).

cnf(c_0_1180,plain,
    ( op2(e22,e20) = e20
    | epred11_0
    | ~ epred12_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1161,c_0_1162]),c_0_1083]) ).

cnf(c_0_1181,plain,
    ( epred12_0
    | ~ epred13_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1081,c_0_1163]),c_0_1083]) ).

cnf(c_0_1182,plain,
    ( h3(e10) != e22
    | h2(e10) != e21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1164,c_0_1165]),c_0_1166]) ).

cnf(c_0_1183,plain,
    ( h3(e10) = e22
    | h3(e10) = e20 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1167,c_0_1094]),c_0_1094]),c_0_1094]),c_0_1094]),c_0_1168]),c_0_1111]) ).

cnf(c_0_1184,plain,
    ( op1(e10,e11) = e10
    | op1(e11,e11) = e10
    | op1(e12,e11) = e10
    | op1(e13,e11) = e10 ),
    i_0_39 ).

cnf(c_0_1185,plain,
    op1(e12,e11) = e13,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1169,c_0_1170]),c_0_1171]),c_0_1172]) ).

cnf(c_0_1186,plain,
    op1(e13,e11) != e10,
    inference(rw,[status(thm)],[c_0_1173,c_0_1079]) ).

cnf(c_0_1187,plain,
    ( op1(e10,e11) = e12
    | op1(e11,e11) = e12
    | op1(e12,e11) = e12
    | op1(e13,e11) = e12 ),
    i_0_35 ).

cnf(c_0_1188,plain,
    op1(e10,e11) != e12,
    inference(rw,[status(thm)],[c_0_1174,c_0_1088]) ).

cnf(c_0_1189,plain,
    ( epred2_0
    | op1(e10,e10) != e11
    | op1(e10,e11) != e10
    | ~ epred3_0 ),
    i_0_411 ).

cnf(c_0_1190,plain,
    ~ epred2_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1175,c_0_1079]),c_0_1122])]),c_0_1176]) ).

cnf(c_0_1191,plain,
    ( op1(e10,e11) = e10
    | op1(e10,e10) != e11 ),
    i_0_235 ).

cnf(c_0_1192,plain,
    op1(e10,e10) != op1(e13,e10),
    i_0_142 ).

cnf(c_0_1193,plain,
    op1(e10,e10) != op1(e10,e13),
    i_0_118 ).

cnf(c_0_1194,plain,
    ( op2(e23,e22) = e21
    | op2(e23,e21) = e21 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1177,c_0_1097]),c_0_1075]),c_0_1083]),c_0_1178]) ).

cnf(c_0_1195,plain,
    e22 != e21,
    i_0_201 ).

cnf(c_0_1196,plain,
    ( epred11_0
    | h3(e10) != e20
    | ~ epred12_0 ),
    inference(spm,[status(thm)],[c_0_1179,c_0_1180]) ).

cnf(c_0_1197,plain,
    ( epred12_0
    | h2(e10) != e21
    | ~ epred14_0 ),
    inference(spm,[status(thm)],[c_0_1181,c_0_1150]) ).

cnf(c_0_1198,plain,
    ( h3(e10) = e20
    | h2(e10) != e21 ),
    inference(spm,[status(thm)],[c_0_1182,c_0_1183]) ).

cnf(c_0_1199,plain,
    op2(e23,e23) != op2(e23,e22),
    i_0_145 ).

cnf(c_0_1200,plain,
    ( op1(e10,e11) = e10
    | op1(e10,e11) = e11
    | op1(e10,e11) = e12
    | op1(e10,e11) = e13 ),
    i_0_15 ).

cnf(c_0_1201,plain,
    op1(e12,e12) != op1(e12,e13),
    i_0_103 ).

cnf(c_0_1202,plain,
    ( epred2_0
    | op1(e11,e11) != e11
    | ~ epred3_0 ),
    i_0_405 ).

cnf(c_0_1203,plain,
    ( op1(e11,e11) = e10
    | op1(e10,e11) = e10 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1184,c_0_1185]),c_0_1186]),c_0_1104]) ).

cnf(c_0_1204,plain,
    ( op1(e11,e11) = e12
    | op1(e13,e11) = e12 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1187,c_0_1185]),c_0_1188]),c_0_1105]) ).

cnf(c_0_1205,plain,
    e12 != e10,
    i_0_197 ).

cnf(c_0_1206,plain,
    ( epred3_0
    | op1(e10,e10) != e11
    | op1(e10,e11) != e10
    | ~ epred4_0 ),
    i_0_436 ).

cnf(c_0_1207,plain,
    ( op1(e10,e10) != e11
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_1189,c_0_1190]),c_0_1191]) ).

cnf(c_0_1208,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e10) = e11
    | op1(e10,e10) = e12
    | op1(e10,e10) = e13 ),
    i_0_16 ).

cnf(c_0_1209,plain,
    op1(e10,e10) != e13,
    inference(rw,[status(thm)],[c_0_1192,c_0_1122]) ).

cnf(c_0_1210,plain,
    op1(e10,e10) != e12,
    inference(rw,[status(thm)],[c_0_1193,c_0_1088]) ).

cnf(c_0_1211,plain,
    ( op2(e20,e20) = e20
    | op2(e21,e21) = e21
    | op2(e22,e22) = e22
    | op2(e23,e23) = e23 ),
    i_0_279 ).

cnf(c_0_1212,plain,
    op2(e20,e20) = h1(e10),
    i_0_313 ).

cnf(c_0_1213,plain,
    ( op2(e23,e21) = e21
    | epred14_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1136,c_0_1194]),c_0_1195]) ).

cnf(c_0_1214,plain,
    ( h2(e10) != e21
    | ~ epred14_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1196,c_0_1197]),c_0_1198]),c_0_1166]) ).

cnf(c_0_1215,plain,
    ( op2(e21,e22) = e21
    | op2(e21,e21) != e22 ),
    i_0_272 ).

cnf(c_0_1216,plain,
    ( op2(e20,e22) = e20
    | op2(e21,e22) = e20
    | op2(e22,e22) = e20
    | op2(e23,e22) = e20 ),
    i_0_79 ).

cnf(c_0_1217,plain,
    op2(e23,e22) != e20,
    inference(rw,[status(thm)],[c_0_1199,c_0_1075]) ).

cnf(c_0_1218,plain,
    op2(e21,e22) != op2(e21,e21),
    i_0_159 ).

cnf(c_0_1219,plain,
    op1(e13,e12) != op1(e13,e13),
    i_0_97 ).

cnf(c_0_1220,plain,
    op1(e10,e11) != op1(e13,e11),
    i_0_136 ).

cnf(c_0_1221,plain,
    ( op1(e10,e11) = e11
    | op1(e10,e11) = e10 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1200,c_0_1171]),c_0_1188]) ).

cnf(c_0_1222,plain,
    ( op1(e10,e12) = e11
    | op1(e11,e12) = e11
    | op1(e12,e12) = e11
    | op1(e13,e12) = e11 ),
    i_0_29 ).

cnf(c_0_1223,plain,
    op1(e12,e12) != e11,
    inference(rw,[status(thm)],[c_0_1201,c_0_1103]) ).

cnf(c_0_1224,plain,
    op1(e12,e10) != op1(e12,e13),
    i_0_106 ).

cnf(c_0_1225,plain,
    ( epred3_0
    | op1(e11,e11) != e11
    | ~ epred4_0 ),
    i_0_430 ).

cnf(c_0_1226,plain,
    ( op1(e11,e11) != e11
    | ~ epred3_0 ),
    inference(sr,[status(thm)],[c_0_1202,c_0_1190]) ).

cnf(c_0_1227,plain,
    ( op1(e11,e11) = e10
    | op1(e11,e11) = e11
    | op1(e11,e11) = e12
    | op1(e11,e11) = e13 ),
    i_0_11 ).

cnf(c_0_1228,plain,
    op1(e10,e11) != op1(e10,e10),
    i_0_120 ).

cnf(c_0_1229,plain,
    ( op1(e13,e11) = e12
    | op1(e10,e11) = e10 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1203,c_0_1204]),c_0_1205]) ).

cnf(c_0_1230,plain,
    ( op1(e10,e10) != e11
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_1206,c_0_1191]),c_0_1207]) ).

cnf(c_0_1231,plain,
    ( op1(e10,e10) = e11
    | op1(e10,e10) = e10 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1208,c_0_1209]),c_0_1210]) ).

cnf(c_0_1232,plain,
    op2(e23,e23) != op2(e23,e21),
    i_0_146 ).

cnf(c_0_1233,plain,
    ( h3(e10) = e22
    | h2(e10) = e21
    | h1(e10) = e20 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1211,c_0_1212]),c_0_1090]),c_0_1094]),c_0_1075]),c_0_1084]) ).

cnf(c_0_1234,plain,
    h2(e10) != e21,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1133,c_0_1213]),c_0_1214]) ).

cnf(c_0_1235,plain,
    ( op2(e21,e22) = e21
    | h2(e10) != e22 ),
    inference(rw,[status(thm)],[c_0_1215,c_0_1090]) ).

cnf(c_0_1236,plain,
    ( op2(e21,e22) = e20
    | h3(e10) = e20 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1216,c_0_1131]),c_0_1094]),c_0_1084]),c_0_1217]) ).

cnf(c_0_1237,plain,
    ( op2(e21,e21) = e20
    | op2(e21,e21) = e21
    | op2(e21,e21) = e22
    | op2(e21,e21) = e23 ),
    i_0_59 ).

cnf(c_0_1238,plain,
    op2(e21,e22) != h2(e10),
    inference(rw,[status(thm)],[c_0_1218,c_0_1090]) ).

cnf(c_0_1239,plain,
    ( op1(e10,e12) = e10
    | op1(e11,e12) = e10
    | op1(e12,e12) = e10
    | op1(e13,e12) = e10 ),
    i_0_31 ).

cnf(c_0_1240,plain,
    op1(e13,e12) != e10,
    inference(rw,[status(thm)],[c_0_1219,c_0_1079]) ).

cnf(c_0_1241,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e11) = e11
    | op1(e12,e12) = e12
    | op1(e13,e13) = e13 ),
    i_0_237 ).

cnf(c_0_1242,plain,
    ( op1(e10,e11) = e10
    | op1(e13,e11) != e11 ),
    inference(spm,[status(thm)],[c_0_1220,c_0_1221]) ).

cnf(c_0_1243,plain,
    op1(e11,e12) != op1(e11,e10),
    i_0_113 ).

cnf(c_0_1244,plain,
    ( op1(e11,e12) = e11
    | op1(e13,e12) = e11 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1222,c_0_1157]),c_0_1106]),c_0_1223]) ).

cnf(c_0_1245,plain,
    ( op1(e10,e10) = e11
    | op1(e11,e10) = e11
    | op1(e12,e10) = e11
    | op1(e13,e10) = e11 ),
    i_0_45 ).

cnf(c_0_1246,plain,
    op1(e12,e10) != e11,
    inference(rw,[status(thm)],[c_0_1224,c_0_1103]) ).

cnf(c_0_1247,plain,
    ( op1(e11,e11) != e11
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[c_0_1225,c_0_1226]) ).

cnf(c_0_1248,plain,
    ( op1(e11,e11) = e11
    | op1(e11,e11) = e12
    | op1(e11,e11) = e10 ),
    inference(sr,[status(thm)],[c_0_1227,c_0_1172]) ).

cnf(c_0_1249,plain,
    ( op1(e13,e11) = e12
    | op1(e10,e10) != e10 ),
    inference(spm,[status(thm)],[c_0_1228,c_0_1229]) ).

cnf(c_0_1250,plain,
    ( op1(e10,e10) = e10
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_1230,c_0_1231]) ).

cnf(c_0_1251,plain,
    op2(e20,e21) != op2(e20,e20),
    i_0_168 ).

cnf(c_0_1252,plain,
    ( op2(e20,e21) = e20
    | op2(e21,e21) = e20
    | op2(e22,e21) = e20
    | op2(e23,e21) = e20 ),
    i_0_87 ).

cnf(c_0_1253,plain,
    op2(e23,e21) != e20,
    inference(rw,[status(thm)],[c_0_1232,c_0_1075]) ).

cnf(c_0_1254,plain,
    ( h3(e10) = e22
    | h1(e10) = e20 ),
    inference(sr,[status(thm)],[c_0_1233,c_0_1234]) ).

cnf(c_0_1255,plain,
    ( h3(e10) = e20
    | h2(e10) != e22 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1235,c_0_1236]),c_0_1178]) ).

cnf(c_0_1256,plain,
    e22 != e20,
    i_0_203 ).

cnf(c_0_1257,plain,
    ( h2(e10) = e22
    | h2(e10) = e21
    | h2(e10) = e20 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1237,c_0_1090]),c_0_1090]),c_0_1090]),c_0_1090]),c_0_1128]) ).

cnf(c_0_1258,plain,
    ( h3(e10) = e20
    | h2(e10) != e20 ),
    inference(spm,[status(thm)],[c_0_1238,c_0_1236]) ).

cnf(c_0_1259,plain,
    op2(e22,e23) != op2(e22,e20),
    i_0_154 ).

cnf(c_0_1260,plain,
    ( op1(e11,e12) = e10
    | op1(e12,e12) = e10 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1239,c_0_1157]),c_0_1240]),c_0_1104]) ).

cnf(c_0_1261,plain,
    e11 != e10,
    i_0_198 ).

cnf(c_0_1262,plain,
    op1(e11,e11) != op1(e13,e11),
    i_0_134 ).

cnf(c_0_1263,plain,
    ( op1(e11,e11) = e11
    | op1(e12,e12) = e12
    | op1(e10,e10) = e10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1241,c_0_1079]),c_0_1104]) ).

cnf(c_0_1264,plain,
    ( op1(e10,e10) != e10
    | op1(e13,e11) != e11 ),
    inference(spm,[status(thm)],[c_0_1228,c_0_1242]) ).

cnf(c_0_1265,plain,
    ( op1(e13,e10) = e11
    | op1(e13,e11) = e11
    | op1(e13,e12) = e11
    | op1(e13,e13) = e11 ),
    i_0_22 ).

cnf(c_0_1266,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e11) = e11
    | op1(e11,e12) = e11
    | op1(e11,e13) = e11 ),
    i_0_38 ).

cnf(c_0_1267,plain,
    ( op1(e13,e12) = e11
    | op1(e11,e10) != e11 ),
    inference(spm,[status(thm)],[c_0_1243,c_0_1244]) ).

cnf(c_0_1268,plain,
    ( op1(e11,e10) = e11
    | op1(e10,e10) = e11 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1245,c_0_1122]),c_0_1106]),c_0_1246]) ).

cnf(c_0_1269,plain,
    ( op1(e11,e10) = e12
    | op1(e11,e11) = e12
    | op1(e11,e12) = e12
    | op1(e11,e13) = e12 ),
    i_0_36 ).

cnf(c_0_1270,plain,
    ( op1(e11,e11) = e12
    | op1(e11,e11) = e10
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_1247,c_0_1248]) ).

cnf(c_0_1271,plain,
    ( op1(e13,e11) = e12
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_1249,c_0_1250]) ).

cnf(c_0_1272,plain,
    op2(e20,e21) != h1(e10),
    inference(rw,[status(thm)],[c_0_1251,c_0_1212]) ).

cnf(c_0_1273,plain,
    ( op2(e20,e21) = e20
    | h2(e10) = e20 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1252,c_0_1090]),c_0_1161]),c_0_1084]),c_0_1253]) ).

cnf(c_0_1274,plain,
    ( h1(e10) = e20
    | h2(e10) != e22 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1254,c_0_1255]),c_0_1256]) ).

cnf(c_0_1275,plain,
    ( h2(e10) = e22
    | h2(e10) = e20 ),
    inference(sr,[status(thm)],[c_0_1257,c_0_1234]) ).

cnf(c_0_1276,plain,
    ( h1(e10) = e20
    | h2(e10) != e20 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1254,c_0_1258]),c_0_1256]) ).

cnf(c_0_1277,plain,
    op2(e21,e22) != op2(e21,e20),
    i_0_161 ).

cnf(c_0_1278,plain,
    ( op2(e20,e20) = e21
    | op2(e21,e20) = e21
    | op2(e22,e20) = e21
    | op2(e23,e20) = e21 ),
    i_0_93 ).

cnf(c_0_1279,plain,
    op2(e22,e20) != e21,
    inference(rw,[status(thm)],[c_0_1259,c_0_1081]) ).

cnf(c_0_1280,plain,
    op2(op2(e22,e22),e22) = h3(e12),
    i_0_319 ).

cnf(c_0_1281,plain,
    ( op1(e12,e12) = e12
    | op1(e12,e13) = e13
    | epred5_0
    | ~ epred6_0 ),
    i_0_492 ).

cnf(c_0_1282,plain,
    ( epred5_0
    | op1(e12,e12) != e12
    | ~ epred6_0 ),
    i_0_474 ).

cnf(c_0_1283,plain,
    ( op1(e13,e12) = e12
    | op1(e13,e13) = e13
    | epred7_0 ),
    i_0_262 ).

cnf(c_0_1284,plain,
    ( op1(e13,e12) = e11
    | op1(e12,e12) = e10 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1260,c_0_1244]),c_0_1261]) ).

cnf(c_0_1285,plain,
    ( op1(e12,e12) = e12
    | op1(e13,e11) != e11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1262,c_0_1263]),c_0_1264]) ).

cnf(c_0_1286,plain,
    ( op1(e13,e11) = e11
    | op1(e13,e12) = e11 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1265,c_0_1079]),c_0_1122]),c_0_1261]),c_0_1106]) ).

cnf(c_0_1287,plain,
    ( op1(e13,e10) = e12
    | op1(e13,e11) = e12
    | op1(e13,e12) = e12
    | op1(e13,e13) = e12 ),
    i_0_20 ).

cnf(c_0_1288,plain,
    ( op1(e11,e11) = e11
    | op1(e11,e12) = e11
    | op1(e11,e10) = e11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1266,c_0_1126]),c_0_1106]) ).

cnf(c_0_1289,plain,
    ( op1(e10,e10) = e11
    | op1(e13,e12) = e11 ),
    inference(spm,[status(thm)],[c_0_1267,c_0_1268]) ).

cnf(c_0_1290,plain,
    ( op1(e11,e11) = e12
    | op1(e11,e12) = e12
    | op1(e11,e10) = e12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1269,c_0_1126]),c_0_1105]) ).

cnf(c_0_1291,plain,
    ( op1(e11,e11) = e10
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1262,c_0_1270]),c_0_1271]) ).

cnf(c_0_1292,plain,
    ( h2(e10) = e20
    | h1(e10) != e20 ),
    inference(spm,[status(thm)],[c_0_1272,c_0_1273]) ).

cnf(c_0_1293,plain,
    h1(e10) = e20,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1274,c_0_1275]),c_0_1276]) ).

cnf(c_0_1294,plain,
    op2(e20,e23) != op2(e20,e21),
    i_0_164 ).

cnf(c_0_1295,plain,
    ( op2(e21,e20) != e21
    | h2(e10) != e22 ),
    inference(spm,[status(thm)],[c_0_1277,c_0_1235]) ).

cnf(c_0_1296,plain,
    ( op2(e21,e20) = e21
    | h1(e10) = e21 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1278,c_0_1212]),c_0_1097]),c_0_1279]),c_0_1083]) ).

cnf(c_0_1297,plain,
    op2(h3(e10),e22) = h3(e12),
    inference(rw,[status(thm)],[c_0_1280,c_0_1094]) ).

cnf(c_0_1298,plain,
    ( op2(e22,e20) = e22
    | op2(e22,e22) != e20 ),
    i_0_270 ).

cnf(c_0_1299,plain,
    ( op1(e12,e13) = e13
    | epred5_0
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[c_0_1281,c_0_1282]) ).

cnf(c_0_1300,plain,
    ( op1(e13,e10) = e10
    | op1(e13,e11) = e11
    | epred6_0
    | ~ epred7_0 ),
    i_0_517 ).

cnf(c_0_1301,plain,
    ( op1(e13,e12) = e12
    | epred7_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1283,c_0_1079]),c_0_1104]) ).

cnf(c_0_1302,plain,
    op1(e13,e12) = e11,
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1284,c_0_1285]),c_0_1205]),c_0_1286]) ).

cnf(c_0_1303,plain,
    e11 != e12,
    i_0_195 ).

cnf(c_0_1304,plain,
    ( op1(e13,e11) = e12
    | op1(e13,e12) = e12 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1287,c_0_1079]),c_0_1122]),c_0_1205]),c_0_1105]) ).

cnf(c_0_1305,plain,
    op1(e11,e12) != op1(e13,e12),
    i_0_128 ).

cnf(c_0_1306,plain,
    ( op1(e11,e12) = e11
    | op1(e11,e10) = e11
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_1247,c_0_1288]) ).

cnf(c_0_1307,plain,
    ( op1(e13,e12) = e11
    | ~ epred4_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1250,c_0_1289]),c_0_1261]) ).

cnf(c_0_1308,plain,
    op1(e11,e12) != op1(e12,e12),
    i_0_129 ).

cnf(c_0_1309,plain,
    ( op1(e11,e12) = e12
    | op1(e11,e10) = e12
    | ~ epred4_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1290,c_0_1291]),c_0_1205]) ).

cnf(c_0_1310,plain,
    op2(e23,e23) = h4(e10),
    i_0_325 ).

cnf(c_0_1311,plain,
    op2(op2(e23,e23),e23) = h4(e12),
    i_0_323 ).

cnf(c_0_1312,plain,
    op2(op2(op2(e23,e23),e23),e23) = h4(e11),
    i_0_324 ).

cnf(c_0_1313,negated_conjecture,
    ( h4(e13) != e23
    | ~ epred18_0 ),
    i_0_327 ).

cnf(c_0_1314,plain,
    h4(e13) = e23,
    i_0_326 ).

cnf(c_0_1315,plain,
    ( op2(e22,e20) = e22
    | op2(e22,e21) = e22
    | op2(e22,e22) = e22
    | op2(e22,e23) = e22 ),
    i_0_76 ).

cnf(c_0_1316,plain,
    h2(e10) = e20,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1292,c_0_1293])]) ).

cnf(c_0_1317,plain,
    ( op2(e20,e21) = e22
    | op2(e21,e21) = e22
    | op2(e22,e21) = e22
    | op2(e23,e21) = e22 ),
    i_0_83 ).

cnf(c_0_1318,plain,
    op2(e20,e21) != e22,
    inference(rw,[status(thm)],[c_0_1294,c_0_1077]) ).

cnf(c_0_1319,plain,
    ( h1(e10) = e21
    | h2(e10) != e22 ),
    inference(spm,[status(thm)],[c_0_1295,c_0_1296]) ).

cnf(c_0_1320,plain,
    op2(op2(op2(e22,e22),e22),e22) = h3(e11),
    i_0_320 ).

cnf(c_0_1321,plain,
    ( h3(e12) = e23
    | h2(e10) != e20 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1297,c_0_1258]),c_0_1131]) ).

cnf(c_0_1322,plain,
    ( op2(e21,e20) = e22
    | op2(e21,e21) = e22
    | op2(e21,e22) = e22
    | op2(e21,e23) = e22 ),
    i_0_84 ).

cnf(c_0_1323,plain,
    op2(e22,e20) != op2(e21,e20),
    i_0_189 ).

cnf(c_0_1324,plain,
    ( op2(e22,e20) = e22
    | h3(e10) != e20 ),
    inference(rw,[status(thm)],[c_0_1298,c_0_1094]) ).

cnf(c_0_1325,plain,
    ( op1(e10,e10) = e11
    | op1(e10,e11) = e11
    | op1(e10,e12) = e11
    | op1(e10,e13) = e11 ),
    i_0_46 ).

cnf(c_0_1326,plain,
    ( epred4_0
    | op1(e12,e12) != e12
    | ~ epred5_0 ),
    i_0_449 ).

cnf(c_0_1327,plain,
    ( epred5_0
    | ~ epred6_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1299,c_0_1103]),c_0_1106]) ).

cnf(c_0_1328,plain,
    ( op1(e13,e11) = e11
    | epred6_0
    | ~ epred7_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1300,c_0_1122]),c_0_1104]) ).

cnf(c_0_1329,plain,
    epred7_0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1301,c_0_1302]),c_0_1303]) ).

cnf(c_0_1330,plain,
    op1(e13,e11) = e12,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1304,c_0_1302]),c_0_1303]) ).

cnf(c_0_1331,plain,
    ( op1(e11,e10) = e11
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1305,c_0_1306]),c_0_1307]) ).

cnf(c_0_1332,plain,
    ( op1(e11,e10) = e12
    | op1(e12,e12) != e12
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_1308,c_0_1309]) ).

cnf(c_0_1333,plain,
    ( epred18_0
    | h4(e10) != e20
    | h4(e11) != e21
    | h4(e12) != e22
    | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
    | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
    | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
    | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
    | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
    | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
    | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
    | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
    | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
    | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
    | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
    | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
    | h4(op1(e13,e13)) != op2(h4(e13),h4(e13)) ),
    i_0_942 ).

cnf(c_0_1334,plain,
    h4(e10) = e20,
    inference(rw,[status(thm)],[c_0_1310,c_0_1075]) ).

cnf(c_0_1335,plain,
    h4(e12) = e22,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1311,c_0_1075]),c_0_1077]) ).

cnf(c_0_1336,plain,
    h4(e11) = e21,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1312,c_0_1075]),c_0_1077]),c_0_1081]) ).

cnf(c_0_1337,negated_conjecture,
    ~ epred18_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1313,c_0_1314])]) ).

cnf(c_0_1338,plain,
    ( op2(e22,e20) = e22
    | h3(e10) = e22 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1315,c_0_1161]),c_0_1094]),c_0_1081]),c_0_1082]),c_0_1195]) ).

cnf(c_0_1339,plain,
    h3(e10) = e20,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1258,c_0_1316])]) ).

cnf(c_0_1340,plain,
    ( op2(e23,e21) = e22
    | h2(e10) = e22 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1317,c_0_1090]),c_0_1161]),c_0_1318]),c_0_1082]) ).

cnf(c_0_1341,plain,
    h2(e10) != e22,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1319,c_0_1293]),c_0_1178]) ).

cnf(c_0_1342,plain,
    op2(h3(e12),e22) = h3(e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1320,c_0_1094]),c_0_1297]) ).

cnf(c_0_1343,plain,
    h3(e12) = e23,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1321,c_0_1316])]) ).

cnf(c_0_1344,plain,
    ( op2(e20,e20) = e21
    | op2(e20,e21) = e21
    | op2(e20,e22) = e21
    | op2(e20,e23) = e21 ),
    i_0_94 ).

cnf(c_0_1345,plain,
    ( op2(e21,e22) = e22
    | op2(e21,e20) = e22
    | h2(e10) = e22 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1322,c_0_1090]),c_0_1092]),c_0_1082]) ).

cnf(c_0_1346,plain,
    ( op2(e21,e20) != e22
    | h3(e10) != e20 ),
    inference(spm,[status(thm)],[c_0_1323,c_0_1324]) ).

cnf(c_0_1347,plain,
    ( op1(e10,e11) = e11
    | op1(e10,e10) = e11 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1325,c_0_1088]),c_0_1157]),c_0_1303]),c_0_1106]) ).

cnf(c_0_1348,plain,
    ( op1(e12,e10) = e10
    | op1(e12,e11) = e11
    | epred4_0
    | ~ epred5_0 ),
    i_0_467 ).

cnf(c_0_1349,plain,
    ( op1(e12,e10) = e12
    | op1(e12,e11) = e12
    | op1(e12,e12) = e12
    | op1(e12,e13) = e12 ),
    i_0_28 ).

cnf(c_0_1350,plain,
    ( epred4_0
    | op1(e12,e12) != e12
    | ~ epred6_0 ),
    inference(spm,[status(thm)],[c_0_1326,c_0_1327]) ).

cnf(c_0_1351,plain,
    epred6_0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1328,c_0_1329])]),c_0_1330]),c_0_1303]) ).

cnf(c_0_1352,plain,
    ( op1(e12,e12) != e12
    | ~ epred4_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1331,c_0_1332]),c_0_1303]) ).

cnf(c_0_1353,plain,
    ( h4(op1(e13,e12)) != op2(e23,e22)
    | h4(op1(e13,e11)) != op2(e23,e21)
    | h4(op1(e10,e11)) != op2(e20,e21)
    | h4(op1(e12,e10)) != op2(e22,e20)
    | h4(op1(e11,e10)) != op2(e21,e20)
    | h4(op1(e11,e12)) != op2(e21,e22)
    | h4(op1(e10,e10)) != h1(e10)
    | h4(op1(e12,e12)) != h3(e10)
    | h4(op1(e11,e11)) != h2(e10) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1333,c_0_1334]),c_0_1335]),c_0_1336]),c_0_1314]),c_0_1314]),c_0_1075]),c_0_1079]),c_0_1334]),c_0_1314]),c_0_1334]),c_0_1097]),c_0_1122]),c_0_1314]),c_0_1314]),c_0_1335]),c_0_1314]),c_0_1336]),c_0_1334]),c_0_1314]),c_0_1077]),c_0_1088]),c_0_1335]),c_0_1334]),c_0_1334]),c_0_1212]),c_0_1334]),c_0_1335]),c_0_1131]),c_0_1157]),c_0_1314]),c_0_1334]),c_0_1336]),c_0_1335]),c_0_1314]),c_0_1081]),c_0_1103]),c_0_1336]),c_0_1335]),c_0_1334]),c_0_1335]),c_0_1335]),c_0_1094]),c_0_1335]),c_0_1336]),c_0_1161]),c_0_1185]),c_0_1314]),c_0_1336]),c_0_1314]),c_0_1092]),c_0_1126]),c_0_1314]),c_0_1336]),c_0_1334]),c_0_1336]),c_0_1335]),c_0_1336]),c_0_1336]),c_0_1090])]),c_0_1337]) ).

cnf(c_0_1354,plain,
    op2(e22,e20) = e22,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1338,c_0_1339]),c_0_1256]) ).

cnf(c_0_1355,plain,
    op2(e23,e21) = e22,
    inference(sr,[status(thm)],[c_0_1340,c_0_1341]) ).

cnf(c_0_1356,plain,
    op2(e23,e22) = h3(e11),
    inference(rw,[status(thm)],[c_0_1342,c_0_1343]) ).

cnf(c_0_1357,plain,
    ( op2(e20,e22) = e21
    | op2(e20,e21) = e21
    | h1(e10) = e21 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1344,c_0_1212]),c_0_1077]),c_0_1195]) ).

cnf(c_0_1358,plain,
    ( op2(e21,e20) = e22
    | op2(e21,e22) = e22 ),
    inference(sr,[status(thm)],[c_0_1345,c_0_1341]) ).

cnf(c_0_1359,plain,
    op2(e21,e20) != e22,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1346,c_0_1339])]) ).

cnf(c_0_1360,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    i_0_37 ).

cnf(c_0_1361,plain,
    ( op1(e10,e10) = e11
    | op1(e13,e11) != e11 ),
    inference(spm,[status(thm)],[c_0_1220,c_0_1347]) ).

cnf(c_0_1362,plain,
    ( op1(e12,e10) = e10
    | epred4_0
    | ~ epred5_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1348,c_0_1185]),c_0_1106]) ).

cnf(c_0_1363,plain,
    ( op1(e12,e12) = e12
    | op1(e12,e10) = e12 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1349,c_0_1103]),c_0_1185]),c_0_1303]),c_0_1105]) ).

cnf(c_0_1364,plain,
    op1(e12,e12) != e12,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1350,c_0_1351])]),c_0_1352]) ).

cnf(c_0_1365,plain,
    ( op1(e10,e12) = e12
    | op1(e11,e12) = e12
    | op1(e12,e12) = e12
    | op1(e13,e12) = e12 ),
    i_0_27 ).

cnf(c_0_1366,plain,
    ( h4(op1(e13,e12)) != op2(e23,e22)
    | h4(op1(e13,e11)) != op2(e23,e21)
    | h4(op1(e10,e11)) != op2(e20,e21)
    | h4(op1(e11,e10)) != op2(e21,e20)
    | h4(op1(e11,e12)) != op2(e21,e22)
    | h4(op1(e12,e10)) != e22
    | h4(op1(e10,e10)) != e20
    | h4(op1(e12,e12)) != e20
    | h4(op1(e11,e11)) != e20 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1353,c_0_1354]),c_0_1293]),c_0_1339]),c_0_1316]) ).

cnf(c_0_1367,plain,
    h3(e11) = e21,
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1194,c_0_1355]),c_0_1195]),c_0_1356]) ).

cnf(c_0_1368,plain,
    op2(e20,e21) = e21,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1357,c_0_1293]),c_0_1178]),c_0_1131]),c_0_1083]) ).

cnf(c_0_1369,plain,
    op2(e21,e20) = e21,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1296,c_0_1293]),c_0_1178]) ).

cnf(c_0_1370,plain,
    op2(e21,e22) = e22,
    inference(sr,[status(thm)],[c_0_1358,c_0_1359]) ).

cnf(c_0_1371,plain,
    ( op1(e11,e11) = e11
    | op1(e10,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1360,c_0_1185]),c_0_1106]) ).

cnf(c_0_1372,plain,
    ( op1(e13,e11) != e11
    | ~ epred4_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1250,c_0_1361]),c_0_1261]) ).

cnf(c_0_1373,plain,
    ( op1(e12,e10) = e10
    | epred4_0
    | ~ epred6_0 ),
    inference(spm,[status(thm)],[c_0_1362,c_0_1327]) ).

cnf(c_0_1374,plain,
    op1(e12,e10) = e12,
    inference(sr,[status(thm)],[c_0_1363,c_0_1364]) ).

cnf(c_0_1375,plain,
    ( op1(e11,e12) = e12
    | op1(e12,e12) = e12
    | op1(e13,e12) = e12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1365,c_0_1157]),c_0_1105]) ).

cnf(c_0_1376,plain,
    ( op1(e12,e12) = e10
    | op1(e12,e12) = e11
    | op1(e12,e12) = e12
    | op1(e12,e12) = e13 ),
    i_0_6 ).

cnf(c_0_1377,plain,
    ( h4(op1(e13,e12)) != e21
    | h4(op1(e13,e11)) != e22
    | h4(op1(e10,e11)) != e21
    | h4(op1(e11,e10)) != e21
    | h4(op1(e11,e12)) != e22
    | h4(op1(e12,e10)) != e22
    | h4(op1(e10,e10)) != e20
    | h4(op1(e12,e12)) != e20
    | h4(op1(e11,e11)) != e20 ),
    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_1366,c_0_1355]),c_0_1356]),c_0_1367]),c_0_1368]),c_0_1369]),c_0_1370]) ).

cnf(c_0_1378,plain,
    ( op1(e10,e11) = e11
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1247,c_0_1371]),c_0_1372]) ).

cnf(c_0_1379,plain,
    epred4_0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1373,c_0_1351])]),c_0_1374]),c_0_1205]) ).

cnf(c_0_1380,plain,
    ( op1(e11,e12) = e12
    | op1(e12,e12) = e12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1375,c_0_1302]),c_0_1303]) ).

cnf(c_0_1381,plain,
    ( op1(e12,e12) = e12
    | op1(e12,e12) = e10 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1376,c_0_1143]),c_0_1223]) ).

cnf(c_0_1382,plain,
    ( h4(op1(e13,e11)) != e22
    | h4(op1(e10,e11)) != e21
    | h4(op1(e11,e10)) != e21
    | h4(op1(e11,e12)) != e22
    | h4(op1(e12,e10)) != e22
    | h4(op1(e10,e10)) != e20
    | h4(op1(e12,e12)) != e20
    | h4(op1(e11,e11)) != e20 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1377,c_0_1302]),c_0_1336])]) ).

cnf(c_0_1383,plain,
    op1(e10,e11) = e11,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1378,c_0_1379])]) ).

cnf(c_0_1384,plain,
    op1(e11,e10) = e11,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1331,c_0_1379])]) ).

cnf(c_0_1385,plain,
    op1(e11,e12) = e12,
    inference(sr,[status(thm)],[c_0_1380,c_0_1364]) ).

cnf(c_0_1386,plain,
    op1(e10,e10) = e10,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1250,c_0_1379])]) ).

cnf(c_0_1387,plain,
    op1(e12,e12) = e10,
    inference(sr,[status(thm)],[c_0_1381,c_0_1364]) ).

cnf(c_0_1388,plain,
    op1(e11,e11) = e10,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1291,c_0_1379])]) ).

cnf(c_0_1389,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1382,c_0_1330]),c_0_1335])]),c_0_1383]),c_0_1336]),c_0_1384]),c_0_1336]),c_0_1385]),c_0_1335]),c_0_1374]),c_0_1335]),c_0_1386]),c_0_1334]),c_0_1387]),c_0_1334]),c_0_1388]),c_0_1334])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : ALG123+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.32  % Computer : n025.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Wed Jun  8 10:51:06 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.43  # ENIGMATIC: Selected complete mode:
% 7.83/2.65  # ENIGMATIC: Solved by autoschedule:
% 7.83/2.65  # No SInE strategy applied
% 7.83/2.65  # Trying AutoSched0 for 150 seconds
% 7.83/2.65  # AutoSched0-Mode selected heuristic C07_19_nc_SAT001_MinMin_rr
% 7.83/2.65  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.83/2.65  #
% 7.83/2.65  # Preprocessing time       : 0.062 s
% 7.83/2.65  # Presaturation interreduction done
% 7.83/2.65  
% 7.83/2.65  # Proof found!
% 7.83/2.65  # SZS status Theorem
% 7.83/2.65  # SZS output start CNFRefutation
% See solution above
% 7.83/2.65  # Training examples: 0 positive, 0 negative
% 7.83/2.65  
% 7.83/2.65  # -------------------------------------------------
% 7.83/2.65  # User time                : 0.136 s
% 7.83/2.65  # System time              : 0.006 s
% 7.83/2.65  # Total time               : 0.142 s
% 7.83/2.65  # Maximum resident set size: 7124 pages
% 7.83/2.65  
%------------------------------------------------------------------------------