TSTP Solution File: ALG116+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG116+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 15:00:19 EDT 2022

% Result   : Theorem 12.26s 2.95s
% Output   : CNFRefutation 12.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   39
%            Number of leaves      :  183
% Syntax   : Number of clauses     :  769 ( 282 unt; 441 nHn; 769 RR)
%            Number of literals    : 1925 (1868 equ; 441 neg)
%            Maximal clause size   :   20 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   4 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_231,plain,
    op1(e13,op1(e13,e13)) = e10,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_231) ).

cnf(i_0_230,plain,
    op1(e13,e13) = e11,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_230) ).

cnf(i_0_97,plain,
    op1(e13,e12) != op1(e13,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_97) ).

cnf(i_0_100,plain,
    op1(e13,e10) != op1(e13,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_100) ).

cnf(i_0_122,plain,
    op1(e11,e13) != op1(e13,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_122) ).

cnf(i_0_229,plain,
    op1(op1(e13,op1(e13,e13)),e13) = e12,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_229) ).

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-ampb4alz/lgb.p',i_0_2) ).

cnf(i_0_99,plain,
    op1(e13,e12) != op1(e13,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_99) ).

cnf(i_0_4,plain,
    ( op1(e13,e10) = e10
    | op1(e13,e10) = e11
    | op1(e13,e10) = e12
    | op1(e13,e10) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_4) ).

cnf(i_0_102,plain,
    op1(e13,e10) != op1(e13,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_102) ).

cnf(i_0_9,plain,
    ( op1(e11,e13) = e10
    | op1(e11,e13) = e11
    | op1(e11,e13) = e12
    | op1(e11,e13) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_9) ).

cnf(i_0_126,plain,
    op1(e10,e13) != op1(e11,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_126) ).

cnf(i_0_133,plain,
    op1(e12,e11) != op1(e13,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_133) ).

cnf(i_0_134,plain,
    op1(e11,e11) != op1(e13,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_134) ).

cnf(i_0_222,plain,
    ( op1(op1(e13,e12),op1(e13,e12)) = e12
    | epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_222) ).

cnf(i_0_195,plain,
    e12 != e11,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_195) ).

cnf(i_0_224,plain,
    ( op1(op1(e13,e10),op1(e13,e10)) = e10
    | epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_224) ).

cnf(i_0_198,plain,
    e10 != e11,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_198) ).

cnf(i_0_234,plain,
    op2(e23,op2(e23,e23)) = e20,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_234) ).

cnf(i_0_233,plain,
    op2(e23,e23) = e21,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_233) ).

cnf(i_0_32,plain,
    ( op1(e12,e10) = e10
    | op1(e12,e11) = e10
    | op1(e12,e12) = e10
    | op1(e12,e13) = e10 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_32) ).

cnf(i_0_110,plain,
    op1(e11,e11) != op1(e11,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_110) ).

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-ampb4alz/lgb.p',i_0_11) ).

cnf(i_0_272,plain,
    ( op1(op1(e10,e13),op1(e10,e13)) = e13
    | op1(op1(e11,e12),op1(e11,e12)) = e12
    | op1(op1(e12,e12),op1(e12,e12)) = e12
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_272) ).

cnf(i_0_101,plain,
    op1(e13,e12) != op1(e13,e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_101) ).

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-ampb4alz/lgb.p',i_0_17) ).

cnf(i_0_194,plain,
    e11 != e13,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_194) ).

cnf(i_0_193,plain,
    e12 != e13,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_193) ).

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-ampb4alz/lgb.p',i_0_66) ).

cnf(i_0_200,plain,
    e23 != e21,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_200) ).

cnf(i_0_202,plain,
    e23 != e20,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_202) ).

cnf(i_0_232,plain,
    op2(op2(e23,op2(e23,e23)),e23) = e22,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_232) ).

cnf(i_0_123,plain,
    op1(e12,e13) != op1(e11,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_123) ).

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-ampb4alz/lgb.p',i_0_31) ).

cnf(i_0_118,plain,
    op1(e10,e10) != op1(e10,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_118) ).

cnf(i_0_103,plain,
    op1(e12,e12) != op1(e12,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_103) ).

cnf(i_0_271,plain,
    ( op1(op1(e10,e13),op1(e10,e13)) = e13
    | op1(op1(e11,e12),op1(e11,e12)) = e12
    | op1(op1(e12,e13),op1(e12,e13)) = e13
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_271) ).

cnf(i_0_228,plain,
    ( op2(op2(e23,e20),op2(e23,e20)) = e20
    | epred2_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_228) ).

cnf(i_0_204,plain,
    e21 != e20,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_204) ).

cnf(i_0_169,plain,
    op2(e23,e23) != op2(e22,e23),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_169) ).

cnf(i_0_173,plain,
    op2(e22,e23) != op2(e20,e23),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_173) ).

cnf(i_0_196,plain,
    e10 != e13,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_196) ).

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-ampb4alz/lgb.p',i_0_38) ).

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-ampb4alz/lgb.p',i_0_6) ).

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-ampb4alz/lgb.p',i_0_35) ).

cnf(i_0_197,plain,
    e12 != e10,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_197) ).

cnf(i_0_116,plain,
    op1(e10,e11) != op1(e10,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_116) ).

cnf(i_0_184,plain,
    op2(e23,e21) != op2(e20,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_184) ).

cnf(i_0_331,plain,
    ( op2(op2(e20,e23),op2(e20,e23)) = e23
    | op2(op2(e21,e23),op2(e21,e23)) = e23
    | op2(op2(e22,e23),op2(e22,e23)) = e23
    | ~ epred2_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_331) ).

cnf(i_0_226,plain,
    ( op2(op2(e23,e22),op2(e23,e22)) = e22
    | epred2_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_226) ).

cnf(i_0_201,plain,
    e22 != e21,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_201) ).

cnf(i_0_53,plain,
    ( op2(e22,e23) = e20
    | op2(e22,e23) = e21
    | op2(e22,e23) = e22
    | op2(e22,e23) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_53) ).

cnf(i_0_181,plain,
    op2(e23,e21) != op2(e22,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_181) ).

cnf(i_0_131,plain,
    op1(e12,e12) != op1(e10,e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_131) ).

cnf(i_0_105,plain,
    op1(e12,e12) != op1(e12,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_105) ).

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-ampb4alz/lgb.p',i_0_36) ).

cnf(i_0_63,plain,
    ( op2(e20,e21) = e20
    | op2(e20,e21) = e21
    | op2(e20,e21) = e22
    | op2(e20,e21) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_63) ).

cnf(i_0_164,plain,
    op2(e20,e23) != op2(e20,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_164) ).

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-ampb4alz/lgb.p',i_0_65) ).

cnf(i_0_199,plain,
    e23 != e22,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_199) ).

cnf(i_0_152,plain,
    op2(e22,e23) != op2(e22,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_152) ).

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-ampb4alz/lgb.p',i_0_55) ).

cnf(i_0_182,plain,
    op2(e23,e21) != op2(e21,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_182) ).

cnf(i_0_109,plain,
    op1(e11,e12) != op1(e11,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_109) ).

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-ampb4alz/lgb.p',i_0_45) ).

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-ampb4alz/lgb.p',i_0_37) ).

cnf(i_0_148,plain,
    op2(e23,e23) != op2(e23,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_148) ).

cnf(i_0_153,plain,
    op2(e22,e22) != op2(e22,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_153) ).

cnf(i_0_170,plain,
    op2(e23,e23) != op2(e21,e23),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_170) ).

cnf(i_0_88,plain,
    ( op2(e21,e20) = e20
    | op2(e21,e21) = e20
    | op2(e21,e22) = e20
    | op2(e21,e23) = e20 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_88) ).

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-ampb4alz/lgb.p',i_0_10) ).

cnf(i_0_23,plain,
    ( op1(e10,e13) = e10
    | op1(e11,e13) = e10
    | op1(e12,e13) = e10
    | op1(e13,e13) = e10 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_23) ).

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-ampb4alz/lgb.p',i_0_93) ).

cnf(i_0_185,plain,
    op2(e22,e21) != op2(e20,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_185) ).

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-ampb4alz/lgb.p',i_0_96) ).

cnf(i_0_203,plain,
    e22 != e20,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_203) ).

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-ampb4alz/lgb.p',i_0_83) ).

cnf(i_0_86,plain,
    ( op2(e21,e20) = e21
    | op2(e21,e21) = e21
    | op2(e21,e22) = e21
    | op2(e21,e23) = e21 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_86) ).

cnf(i_0_166,plain,
    op2(e20,e23) != op2(e20,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_166) ).

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-ampb4alz/lgb.p',i_0_57) ).

cnf(i_0_174,plain,
    op2(e21,e23) != op2(e20,e23),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_174) ).

cnf(i_0_275,plain,
    ( op1(op1(e10,e13),op1(e10,e13)) = e13
    | op1(op1(e11,e11),op1(e11,e11)) = e11
    | op1(op1(e12,e13),op1(e12,e13)) = e13
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_275) ).

cnf(i_0_120,plain,
    op1(e10,e10) != op1(e10,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_120) ).

cnf(i_0_279,plain,
    ( op1(op1(e10,e13),op1(e10,e13)) = e13
    | op1(op1(e11,e10),op1(e11,e10)) = e10
    | op1(op1(e12,e13),op1(e12,e13)) = e13
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_279) ).

cnf(i_0_129,plain,
    op1(e12,e12) != op1(e11,e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_129) ).

cnf(i_0_106,plain,
    op1(e12,e10) != op1(e12,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_106) ).

cnf(i_0_47,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e10) = e10
    | op1(e12,e10) = e10
    | op1(e13,e10) = e10 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_47) ).

cnf(i_0_168,plain,
    op2(e20,e21) != op2(e20,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_168) ).

cnf(i_0_64,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e20) = e21
    | op2(e20,e20) = e22
    | op2(e20,e20) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_64) ).

cnf(i_0_267,plain,
    ( op1(op1(e10,e13),op1(e10,e13)) = e13
    | op1(op1(e11,e13),op1(e11,e13)) = e13
    | op1(op1(e12,e13),op1(e12,e13)) = e13
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_267) ).

cnf(i_0_111,plain,
    op1(e11,e12) != op1(e11,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_111) ).

cnf(i_0_119,plain,
    op1(e10,e12) != op1(e10,e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_119) ).

cnf(i_0_48,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e11) = e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_48) ).

cnf(i_0_136,plain,
    op1(e10,e11) != op1(e13,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_136) ).

cnf(i_0_125,plain,
    op1(e12,e13) != op1(e10,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_125) ).

cnf(i_0_180,plain,
    op2(e21,e22) != op2(e20,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_180) ).

cnf(i_0_80,plain,
    ( op2(e22,e20) = e20
    | op2(e22,e21) = e20
    | op2(e22,e22) = e20
    | op2(e22,e23) = e20 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_80) ).

cnf(i_0_158,plain,
    op2(e21,e23) != op2(e21,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_158) ).

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-ampb4alz/lgb.p',i_0_59) ).

cnf(i_0_112,plain,
    op1(e11,e10) != op1(e11,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_112) ).

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-ampb4alz/lgb.p',i_0_29) ).

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-ampb4alz/lgb.p',i_0_28) ).

cnf(i_0_334,plain,
    ( op2(op2(e20,e23),op2(e20,e23)) = e23
    | op2(op2(e21,e23),op2(e21,e23)) = e23
    | op2(op2(e22,e20),op2(e22,e20)) = e20
    | ~ epred2_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_334) ).

cnf(i_0_161,plain,
    op2(e21,e22) != op2(e21,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_161) ).

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-ampb4alz/lgb.p',i_0_46) ).

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-ampb4alz/lgb.p',i_0_40) ).

cnf(i_0_115,plain,
    op1(e10,e12) != op1(e10,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_115) ).

cnf(i_0_12,plain,
    ( op1(e11,e10) = e10
    | op1(e11,e10) = e11
    | op1(e11,e10) = e12
    | op1(e11,e10) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_12) ).

cnf(i_0_171,plain,
    op2(e22,e23) != op2(e21,e23),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_171) ).

cnf(i_0_142,plain,
    op1(e10,e10) != op1(e13,e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_142) ).

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-ampb4alz/lgb.p',i_0_16) ).

cnf(i_0_14,plain,
    ( op1(e10,e12) = e10
    | op1(e10,e12) = e11
    | op1(e10,e12) = e12
    | op1(e10,e12) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_14) ).

cnf(i_0_141,plain,
    op1(e12,e10) != op1(e11,e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_141) ).

cnf(i_0_186,plain,
    op2(e21,e21) != op2(e20,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_186) ).

cnf(i_0_117,plain,
    op1(e10,e12) != op1(e10,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_117) ).

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-ampb4alz/lgb.p',i_0_15) ).

cnf(i_0_143,plain,
    op1(e12,e10) != op1(e10,e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_143) ).

cnf(i_0_135,plain,
    op1(e12,e11) != op1(e11,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_135) ).

cnf(i_0_192,plain,
    op2(e21,e20) != op2(e20,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_192) ).

cnf(i_0_8,plain,
    ( op1(e12,e10) = e10
    | op1(e12,e10) = e11
    | op1(e12,e10) = e12
    | op1(e12,e10) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_8) ).

cnf(i_0_139,plain,
    op1(e12,e10) != op1(e13,e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_139) ).

cnf(i_0_132,plain,
    op1(e10,e12) != op1(e11,e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_132) ).

cnf(i_0_138,plain,
    op1(e10,e11) != op1(e11,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_138) ).

cnf(i_0_183,plain,
    op2(e22,e21) != op2(e21,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_183) ).

cnf(i_0_191,plain,
    op2(e22,e20) != op2(e20,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_191) ).

cnf(i_0_189,plain,
    op2(e22,e20) != op2(e21,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_189) ).

cnf(i_0_179,plain,
    op2(e22,e22) != op2(e20,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_179) ).

cnf(i_0_121,plain,
    op1(e12,e13) != op1(e13,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_121) ).

cnf(i_0_144,plain,
    op1(e10,e10) != op1(e11,e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_144) ).

cnf(i_0_5,plain,
    ( op1(e12,e13) = e10
    | op1(e12,e13) = e11
    | op1(e12,e13) = e12
    | op1(e12,e13) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_5) ).

cnf(i_0_52,plain,
    ( op2(e23,e20) = e20
    | op2(e23,e20) = e21
    | op2(e23,e20) = e22
    | op2(e23,e20) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_52) ).

cnf(i_0_150,plain,
    op2(e23,e21) != op2(e23,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_150) ).

cnf(i_0_177,plain,
    op2(e22,e22) != op2(e21,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_177) ).

cnf(i_0_104,plain,
    op1(e12,e11) != op1(e12,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_104) ).

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-ampb4alz/lgb.p',i_0_33) ).

cnf(i_0_68,plain,
    ( op2(e23,e20) = e22
    | op2(e23,e21) = e22
    | op2(e23,e22) = e22
    | op2(e23,e23) = e22 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_68) ).

cnf(i_0_283,plain,
    ( op1(op1(e10,e12),op1(e10,e12)) = e12
    | op1(op1(e11,e13),op1(e11,e13)) = e13
    | op1(op1(e12,e13),op1(e12,e13)) = e13
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_283) ).

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-ampb4alz/lgb.p',i_0_18) ).

cnf(i_0_190,plain,
    op2(e23,e20) != op2(e20,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_190) ).

cnf(i_0_90,plain,
    ( op2(e20,e20) = e23
    | op2(e20,e21) = e23
    | op2(e20,e22) = e23
    | op2(e20,e23) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_90) ).

cnf(i_0_188,plain,
    op2(e23,e20) != op2(e21,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_188) ).

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-ampb4alz/lgb.p',i_0_84) ).

cnf(i_0_130,plain,
    op1(e10,e12) != op1(e13,e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_130) ).

cnf(i_0_42,plain,
    ( op1(e10,e10) = e13
    | op1(e10,e11) = e13
    | op1(e10,e12) = e13
    | op1(e10,e13) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_42) ).

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-ampb4alz/lgb.p',i_0_81) ).

cnf(i_0_147,plain,
    op2(e23,e22) != op2(e23,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_147) ).

cnf(i_0_145,plain,
    op2(e23,e23) != op2(e23,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_145) ).

cnf(i_0_343,plain,
    ( op2(op2(e20,e23),op2(e20,e23)) = e23
    | op2(op2(e21,e20),op2(e21,e20)) = e20
    | op2(op2(e22,e23),op2(e22,e23)) = e23
    | ~ epred2_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_343) ).

cnf(i_0_60,plain,
    ( op2(e21,e20) = e20
    | op2(e21,e20) = e21
    | op2(e21,e20) = e22
    | op2(e21,e20) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_60) ).

cnf(i_0_160,plain,
    op2(e21,e23) != op2(e21,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_160) ).

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-ampb4alz/lgb.p',i_0_79) ).

cnf(i_0_77,plain,
    ( op2(e20,e22) = e21
    | op2(e21,e22) = e21
    | op2(e22,e22) = e21
    | op2(e23,e22) = e21 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_77) ).

cnf(i_0_167,plain,
    op2(e20,e22) != op2(e20,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_167) ).

cnf(i_0_270,plain,
    ( op1(op1(e10,e13),op1(e10,e13)) = e13
    | op1(op1(e11,e13),op1(e11,e13)) = e13
    | op1(op1(e12,e10),op1(e12,e10)) = e10
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_270) ).

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-ampb4alz/lgb.p',i_0_50) ).

cnf(i_0_163,plain,
    op2(e20,e23) != op2(e20,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_163) ).

cnf(i_0_175,plain,
    op2(e23,e22) != op2(e22,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_175) ).

cnf(i_0_268,plain,
    ( op1(op1(e10,e13),op1(e10,e13)) = e13
    | op1(op1(e11,e13),op1(e11,e13)) = e13
    | op1(op1(e12,e12),op1(e12,e12)) = e12
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_268) ).

cnf(i_0_178,plain,
    op2(e23,e22) != op2(e20,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_178) ).

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-ampb4alz/lgb.p',i_0_62) ).

cnf(i_0_151,plain,
    op2(e22,e23) != op2(e22,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_151) ).

cnf(i_0_176,plain,
    op2(e23,e22) != op2(e21,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_176) ).

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-ampb4alz/lgb.p',i_0_7) ).

cnf(i_0_91,plain,
    ( op2(e20,e20) = e22
    | op2(e21,e20) = e22
    | op2(e22,e20) = e22
    | op2(e23,e20) = e22 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_91) ).

cnf(i_0_355,plain,
    ( op2(op2(e20,e22),op2(e20,e22)) = e22
    | op2(op2(e21,e21),op2(e21,e21)) = e21
    | op2(op2(e22,e23),op2(e22,e23)) = e23
    | ~ epred2_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_355) ).

cnf(i_0_284,plain,
    ( op1(op1(e10,e12),op1(e10,e12)) = e12
    | op1(op1(e11,e13),op1(e11,e13)) = e13
    | op1(op1(e12,e12),op1(e12,e12)) = e12
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_284) ).

cnf(i_0_137,plain,
    op1(e12,e11) != op1(e10,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_137) ).

cnf(i_0_127,plain,
    op1(e12,e12) != op1(e13,e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_127) ).

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-ampb4alz/lgb.p',i_0_54) ).

cnf(i_0_249,plain,
    op2(e23,op2(e23,e23)) = h4(e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_249) ).

cnf(i_0_247,plain,
    op2(op2(e23,op2(e23,e23)),e23) = h4(e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_247) ).

cnf(i_0_251,negated_conjecture,
    ( h4(e13) != e23
    | ~ epred6_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_251) ).

cnf(i_0_250,plain,
    h4(e13) = e23,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_250) ).

cnf(i_0_85,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_85) ).

cnf(i_0_644,plain,
    ( epred6_0
    | h4(e10) != e20
    | h4(e11) != e21
    | h4(e12) != e22
    | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
    | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
    | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
    | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
    | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
    | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
    | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
    | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
    | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
    | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
    | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
    | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
    | h4(op1(e13,e13)) != op2(h4(e13),h4(e13)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_644) ).

cnf(i_0_248,plain,
    op2(e23,e23) = h4(e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_248) ).

cnf(i_0_114,plain,
    op1(e11,e10) != op1(e11,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_114) ).

cnf(i_0_71,plain,
    ( op2(e20,e23) = e20
    | op2(e21,e23) = e20
    | op2(e22,e23) = e20
    | op2(e23,e23) = e20 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_71) ).

cnf(i_0_351,plain,
    ( op2(op2(e20,e22),op2(e20,e22)) = e22
    | op2(op2(e21,e22),op2(e21,e22)) = e22
    | op2(op2(e22,e23),op2(e22,e23)) = e23
    | ~ epred2_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_351) ).

cnf(i_0_157,plain,
    op2(e21,e23) != op2(e21,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_157) ).

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-ampb4alz/lgb.p',i_0_43) ).

cnf(i_0_162,plain,
    op2(e21,e21) != op2(e21,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_162) ).

cnf(i_0_235,plain,
    op2(op2(e20,op2(e20,e20)),e20) = h1(e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ampb4alz/lgb.p',i_0_235) ).

cnf(c_0_828,plain,
    op1(e13,op1(e13,e13)) = e10,
    i_0_231 ).

cnf(c_0_829,plain,
    op1(e13,e13) = e11,
    i_0_230 ).

cnf(c_0_830,plain,
    op1(e13,e12) != op1(e13,e13),
    i_0_97 ).

cnf(c_0_831,plain,
    op1(e13,e10) != op1(e13,e13),
    i_0_100 ).

cnf(c_0_832,plain,
    op1(e11,e13) != op1(e13,e13),
    i_0_122 ).

cnf(c_0_833,plain,
    op1(op1(e13,op1(e13,e13)),e13) = e12,
    i_0_229 ).

cnf(c_0_834,plain,
    op1(e13,e11) = e10,
    inference(rw,[status(thm)],[c_0_828,c_0_829]) ).

cnf(c_0_835,plain,
    ( op1(e13,e12) = e10
    | op1(e13,e12) = e11
    | op1(e13,e12) = e12
    | op1(e13,e12) = e13 ),
    i_0_2 ).

cnf(c_0_836,plain,
    op1(e13,e12) != e11,
    inference(rw,[status(thm)],[c_0_830,c_0_829]) ).

cnf(c_0_837,plain,
    op1(e13,e12) != op1(e13,e11),
    i_0_99 ).

cnf(c_0_838,plain,
    ( op1(e13,e10) = e10
    | op1(e13,e10) = e11
    | op1(e13,e10) = e12
    | op1(e13,e10) = e13 ),
    i_0_4 ).

cnf(c_0_839,plain,
    op1(e13,e10) != e11,
    inference(rw,[status(thm)],[c_0_831,c_0_829]) ).

cnf(c_0_840,plain,
    op1(e13,e10) != op1(e13,e11),
    i_0_102 ).

cnf(c_0_841,plain,
    ( op1(e11,e13) = e10
    | op1(e11,e13) = e11
    | op1(e11,e13) = e12
    | op1(e11,e13) = e13 ),
    i_0_9 ).

cnf(c_0_842,plain,
    op1(e11,e13) != e11,
    inference(rw,[status(thm)],[c_0_832,c_0_829]) ).

cnf(c_0_843,plain,
    op1(e10,e13) != op1(e11,e13),
    i_0_126 ).

cnf(c_0_844,plain,
    op1(e10,e13) = e12,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_833,c_0_829]),c_0_834]) ).

cnf(c_0_845,plain,
    ( op1(e13,e12) = e12
    | op1(e13,e12) = e10
    | op1(e13,e12) = e13 ),
    inference(sr,[status(thm)],[c_0_835,c_0_836]) ).

cnf(c_0_846,plain,
    op1(e13,e12) != e10,
    inference(rw,[status(thm)],[c_0_837,c_0_834]) ).

cnf(c_0_847,plain,
    ( op1(e13,e10) = e12
    | op1(e13,e10) = e10
    | op1(e13,e10) = e13 ),
    inference(sr,[status(thm)],[c_0_838,c_0_839]) ).

cnf(c_0_848,plain,
    op1(e13,e10) != e10,
    inference(rw,[status(thm)],[c_0_840,c_0_834]) ).

cnf(c_0_849,plain,
    op1(e12,e11) != op1(e13,e11),
    i_0_133 ).

cnf(c_0_850,plain,
    ( op1(e11,e13) = e12
    | op1(e11,e13) = e10
    | op1(e11,e13) = e13 ),
    inference(sr,[status(thm)],[c_0_841,c_0_842]) ).

cnf(c_0_851,plain,
    op1(e11,e13) != e12,
    inference(rw,[status(thm)],[c_0_843,c_0_844]) ).

cnf(c_0_852,plain,
    op1(e11,e11) != op1(e13,e11),
    i_0_134 ).

cnf(c_0_853,plain,
    ( op1(op1(e13,e12),op1(e13,e12)) = e12
    | epred1_0 ),
    i_0_222 ).

cnf(c_0_854,plain,
    ( op1(e13,e12) = e13
    | op1(e13,e12) = e12 ),
    inference(sr,[status(thm)],[c_0_845,c_0_846]) ).

cnf(c_0_855,plain,
    e12 != e11,
    i_0_195 ).

cnf(c_0_856,plain,
    ( op1(op1(e13,e10),op1(e13,e10)) = e10
    | epred1_0 ),
    i_0_224 ).

cnf(c_0_857,plain,
    ( op1(e13,e10) = e13
    | op1(e13,e10) = e12 ),
    inference(sr,[status(thm)],[c_0_847,c_0_848]) ).

cnf(c_0_858,plain,
    e10 != e11,
    i_0_198 ).

cnf(c_0_859,plain,
    op2(e23,op2(e23,e23)) = e20,
    i_0_234 ).

cnf(c_0_860,plain,
    op2(e23,e23) = e21,
    i_0_233 ).

cnf(c_0_861,plain,
    ( op1(e12,e10) = e10
    | op1(e12,e11) = e10
    | op1(e12,e12) = e10
    | op1(e12,e13) = e10 ),
    i_0_32 ).

cnf(c_0_862,plain,
    op1(e12,e11) != e10,
    inference(rw,[status(thm)],[c_0_849,c_0_834]) ).

cnf(c_0_863,plain,
    op1(e11,e11) != op1(e11,e13),
    i_0_110 ).

cnf(c_0_864,plain,
    ( op1(e11,e13) = e13
    | op1(e11,e13) = e10 ),
    inference(sr,[status(thm)],[c_0_850,c_0_851]) ).

cnf(c_0_865,plain,
    ( op1(e11,e11) = e10
    | op1(e11,e11) = e11
    | op1(e11,e11) = e12
    | op1(e11,e11) = e13 ),
    i_0_11 ).

cnf(c_0_866,plain,
    op1(e11,e11) != e10,
    inference(rw,[status(thm)],[c_0_852,c_0_834]) ).

cnf(c_0_867,plain,
    ( op1(op1(e10,e13),op1(e10,e13)) = e13
    | op1(op1(e11,e12),op1(e11,e12)) = e12
    | op1(op1(e12,e12),op1(e12,e12)) = e12
    | ~ epred1_0 ),
    i_0_272 ).

cnf(c_0_868,plain,
    op1(e13,e12) != op1(e13,e10),
    i_0_101 ).

cnf(c_0_869,plain,
    ( op1(e13,e12) = e12
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_853,c_0_854]),c_0_829]),c_0_855]) ).

cnf(c_0_870,plain,
    ( op1(e13,e10) = e12
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_856,c_0_857]),c_0_829]),c_0_858]) ).

cnf(c_0_871,plain,
    ( op1(e10,e13) = e13
    | op1(e11,e13) = e13
    | op1(e12,e13) = e13
    | op1(e13,e13) = e13 ),
    i_0_17 ).

cnf(c_0_872,plain,
    e11 != e13,
    i_0_194 ).

cnf(c_0_873,plain,
    e12 != e13,
    i_0_193 ).

cnf(c_0_874,plain,
    ( op2(e23,e20) = e23
    | op2(e23,e21) = e23
    | op2(e23,e22) = e23
    | op2(e23,e23) = e23 ),
    i_0_66 ).

cnf(c_0_875,plain,
    op2(e23,e21) = e20,
    inference(rw,[status(thm)],[c_0_859,c_0_860]) ).

cnf(c_0_876,plain,
    e23 != e21,
    i_0_200 ).

cnf(c_0_877,plain,
    e23 != e20,
    i_0_202 ).

cnf(c_0_878,plain,
    op2(op2(e23,op2(e23,e23)),e23) = e22,
    i_0_232 ).

cnf(c_0_879,plain,
    op1(e12,e13) != op1(e11,e13),
    i_0_123 ).

cnf(c_0_880,plain,
    ( op1(e12,e12) = e10
    | op1(e12,e10) = e10
    | op1(e12,e13) = e10 ),
    inference(sr,[status(thm)],[c_0_861,c_0_862]) ).

cnf(c_0_881,plain,
    ( op1(e11,e13) = e10
    | op1(e11,e11) != e13 ),
    inference(spm,[status(thm)],[c_0_863,c_0_864]) ).

cnf(c_0_882,plain,
    ( op1(e11,e11) = e12
    | op1(e11,e11) = e11
    | op1(e11,e11) = e13 ),
    inference(sr,[status(thm)],[c_0_865,c_0_866]) ).

cnf(c_0_883,plain,
    ( op1(op1(e12,e12),op1(e12,e12)) = e12
    | op1(op1(e11,e12),op1(e11,e12)) = e12
    | op1(e12,e12) = e13
    | ~ epred1_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_867,c_0_844]),c_0_844]) ).

cnf(c_0_884,plain,
    epred1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_868,c_0_869]),c_0_870]) ).

cnf(c_0_885,plain,
    ( op1(e10,e12) = e10
    | op1(e11,e12) = e10
    | op1(e12,e12) = e10
    | op1(e13,e12) = e10 ),
    i_0_31 ).

cnf(c_0_886,plain,
    op1(e10,e10) != op1(e10,e13),
    i_0_118 ).

cnf(c_0_887,plain,
    op1(e12,e12) != op1(e12,e13),
    i_0_103 ).

cnf(c_0_888,plain,
    ( op1(e12,e13) = e13
    | op1(e11,e13) = e13 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_871,c_0_829]),c_0_844]),c_0_872]),c_0_873]) ).

cnf(c_0_889,plain,
    ( op1(op1(e10,e13),op1(e10,e13)) = e13
    | op1(op1(e11,e12),op1(e11,e12)) = e12
    | op1(op1(e12,e13),op1(e12,e13)) = e13
    | ~ epred1_0 ),
    i_0_271 ).

cnf(c_0_890,plain,
    ( op2(op2(e23,e20),op2(e23,e20)) = e20
    | epred2_0 ),
    i_0_228 ).

cnf(c_0_891,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_874,c_0_860]),c_0_875]),c_0_876]),c_0_877]) ).

cnf(c_0_892,plain,
    e21 != e20,
    i_0_204 ).

cnf(c_0_893,plain,
    op2(e23,e23) != op2(e22,e23),
    i_0_169 ).

cnf(c_0_894,plain,
    op2(e22,e23) != op2(e20,e23),
    i_0_173 ).

cnf(c_0_895,plain,
    op2(e20,e23) = e22,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_878,c_0_860]),c_0_875]) ).

cnf(c_0_896,plain,
    ( op1(e12,e12) = e10
    | op1(e12,e10) = e10
    | op1(e11,e13) != e10 ),
    inference(spm,[status(thm)],[c_0_879,c_0_880]) ).

cnf(c_0_897,plain,
    ( op1(e11,e11) = e12
    | op1(e11,e11) = e11
    | op1(e11,e13) = e10 ),
    inference(spm,[status(thm)],[c_0_881,c_0_882]) ).

cnf(c_0_898,plain,
    ( op1(op1(e12,e12),op1(e12,e12)) = e12
    | op1(op1(e11,e12),op1(e11,e12)) = e12
    | op1(e12,e12) = e13 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_883,c_0_884])]) ).

cnf(c_0_899,plain,
    ( op1(e10,e12) = e10
    | op1(e11,e12) = e10
    | op1(e12,e12) = e10 ),
    inference(sr,[status(thm)],[c_0_885,c_0_846]) ).

cnf(c_0_900,plain,
    op1(e10,e10) != e12,
    inference(rw,[status(thm)],[c_0_886,c_0_844]) ).

cnf(c_0_901,plain,
    e10 != e13,
    i_0_196 ).

cnf(c_0_902,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e11) = e11
    | op1(e11,e12) = e11
    | op1(e11,e13) = e11 ),
    i_0_38 ).

cnf(c_0_903,plain,
    ( op1(e11,e13) = e13
    | op1(e12,e12) != e13 ),
    inference(spm,[status(thm)],[c_0_887,c_0_888]) ).

cnf(c_0_904,plain,
    ( op1(e12,e12) = e10
    | op1(e12,e12) = e11
    | op1(e12,e12) = e12
    | op1(e12,e12) = e13 ),
    i_0_6 ).

cnf(c_0_905,plain,
    ( op1(e10,e11) = e12
    | op1(e11,e11) = e12
    | op1(e12,e11) = e12
    | op1(e13,e11) = e12 ),
    i_0_35 ).

cnf(c_0_906,plain,
    e12 != e10,
    i_0_197 ).

cnf(c_0_907,plain,
    op1(e10,e11) != op1(e10,e13),
    i_0_116 ).

cnf(c_0_908,plain,
    ( op1(op1(e12,e13),op1(e12,e13)) = e13
    | op1(op1(e11,e12),op1(e11,e12)) = e12
    | op1(e12,e12) = e13
    | ~ epred1_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_889,c_0_844]),c_0_844]) ).

cnf(c_0_909,plain,
    op2(e23,e21) != op2(e20,e21),
    i_0_184 ).

cnf(c_0_910,plain,
    ( op2(op2(e20,e23),op2(e20,e23)) = e23
    | op2(op2(e21,e23),op2(e21,e23)) = e23
    | op2(op2(e22,e23),op2(e22,e23)) = e23
    | ~ epred2_0 ),
    i_0_331 ).

cnf(c_0_911,plain,
    ( op2(op2(e23,e22),op2(e23,e22)) = e22
    | epred2_0 ),
    i_0_226 ).

cnf(c_0_912,plain,
    ( op2(e23,e22) = e23
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_890,c_0_891]),c_0_860]),c_0_892]) ).

cnf(c_0_913,plain,
    e22 != e21,
    i_0_201 ).

cnf(c_0_914,plain,
    ( op2(e22,e23) = e20
    | op2(e22,e23) = e21
    | op2(e22,e23) = e22
    | op2(e22,e23) = e23 ),
    i_0_53 ).

cnf(c_0_915,plain,
    op2(e22,e23) != e21,
    inference(rw,[status(thm)],[c_0_893,c_0_860]) ).

cnf(c_0_916,plain,
    op2(e22,e23) != e22,
    inference(rw,[status(thm)],[c_0_894,c_0_895]) ).

cnf(c_0_917,plain,
    op2(e23,e21) != op2(e22,e21),
    i_0_181 ).

cnf(c_0_918,plain,
    op1(e12,e12) != op1(e10,e12),
    i_0_131 ).

cnf(c_0_919,plain,
    ( op1(e11,e11) = e11
    | op1(e11,e11) = e12
    | op1(e12,e10) = e10
    | op1(e12,e12) = e10 ),
    inference(spm,[status(thm)],[c_0_896,c_0_897]) ).

cnf(c_0_920,plain,
    ( op1(op1(e11,e12),op1(e11,e12)) = e12
    | op1(e10,e12) = e10
    | op1(e11,e12) = e10 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_898,c_0_899]),c_0_900]),c_0_901]) ).

cnf(c_0_921,plain,
    ( op1(e11,e12) = e11
    | op1(e11,e11) = e11
    | op1(e11,e10) = e11 ),
    inference(sr,[status(thm)],[c_0_902,c_0_842]) ).

cnf(c_0_922,plain,
    op1(e12,e12) != op1(e12,e11),
    i_0_105 ).

cnf(c_0_923,plain,
    ( op1(e12,e12) = e12
    | op1(e12,e12) = e11
    | op1(e12,e12) = e10
    | op1(e11,e13) = e13 ),
    inference(spm,[status(thm)],[c_0_903,c_0_904]) ).

cnf(c_0_924,plain,
    ( op1(e12,e11) = e12
    | op1(e11,e11) = e12
    | op1(e10,e11) = e12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_905,c_0_834]),c_0_906]) ).

cnf(c_0_925,plain,
    op1(e10,e11) != e12,
    inference(rw,[status(thm)],[c_0_907,c_0_844]) ).

cnf(c_0_926,plain,
    ( op1(op1(e12,e13),op1(e12,e13)) = e13
    | op1(op1(e11,e12),op1(e11,e12)) = e12
    | op1(e12,e12) = e13 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_908,c_0_884])]) ).

cnf(c_0_927,plain,
    ( op1(e11,e10) = e12
    | op1(e11,e11) = e12
    | op1(e11,e12) = e12
    | op1(e11,e13) = e12 ),
    i_0_36 ).

cnf(c_0_928,plain,
    ( op2(e20,e21) = e20
    | op2(e20,e21) = e21
    | op2(e20,e21) = e22
    | op2(e20,e21) = e23 ),
    i_0_63 ).

cnf(c_0_929,plain,
    op2(e20,e21) != e20,
    inference(rw,[status(thm)],[c_0_909,c_0_875]) ).

cnf(c_0_930,plain,
    op2(e20,e23) != op2(e20,e21),
    i_0_164 ).

cnf(c_0_931,plain,
    ( op2(op2(e22,e23),op2(e22,e23)) = e23
    | op2(op2(e21,e23),op2(e21,e23)) = e23
    | op2(e22,e22) = e23
    | ~ epred2_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_910,c_0_895]),c_0_895]) ).

cnf(c_0_932,plain,
    epred2_0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_911,c_0_912]),c_0_860]),c_0_913]) ).

cnf(c_0_933,plain,
    ( op2(e20,e23) = e23
    | op2(e21,e23) = e23
    | op2(e22,e23) = e23
    | op2(e23,e23) = e23 ),
    i_0_65 ).

cnf(c_0_934,plain,
    e23 != e22,
    i_0_199 ).

cnf(c_0_935,plain,
    op2(e22,e23) != op2(e22,e21),
    i_0_152 ).

cnf(c_0_936,plain,
    ( op2(e22,e23) = e20
    | op2(e22,e23) = e23 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_914,c_0_915]),c_0_916]) ).

cnf(c_0_937,plain,
    ( op2(e22,e21) = e20
    | op2(e22,e21) = e21
    | op2(e22,e21) = e22
    | op2(e22,e21) = e23 ),
    i_0_55 ).

cnf(c_0_938,plain,
    op2(e22,e21) != e20,
    inference(rw,[status(thm)],[c_0_917,c_0_875]) ).

cnf(c_0_939,plain,
    op2(e23,e21) != op2(e21,e21),
    i_0_182 ).

cnf(c_0_940,plain,
    op1(e11,e12) != op1(e11,e13),
    i_0_109 ).

cnf(c_0_941,plain,
    ( op1(e10,e10) = e11
    | op1(e11,e10) = e11
    | op1(e12,e10) = e11
    | op1(e13,e10) = e11 ),
    i_0_45 ).

cnf(c_0_942,plain,
    ( op1(e12,e10) = e10
    | op1(e11,e11) = e12
    | op1(e11,e11) = e11
    | op1(e10,e12) != e10 ),
    inference(spm,[status(thm)],[c_0_918,c_0_919]) ).

cnf(c_0_943,plain,
    ( op1(e11,e11) = e11
    | op1(e11,e10) = e11
    | op1(e10,e12) = e10
    | op1(e11,e11) = e12 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_920,c_0_921]),c_0_858]) ).

cnf(c_0_944,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    i_0_37 ).

cnf(c_0_945,plain,
    ( op1(e11,e13) = e13
    | op1(e12,e12) = e10
    | op1(e12,e12) = e11
    | op1(e12,e11) != e12 ),
    inference(spm,[status(thm)],[c_0_922,c_0_923]) ).

cnf(c_0_946,plain,
    ( op1(e11,e11) = e12
    | op1(e12,e11) = e12 ),
    inference(sr,[status(thm)],[c_0_924,c_0_925]) ).

cnf(c_0_947,plain,
    ( op1(op1(e11,e12),op1(e11,e12)) = e12
    | op1(e11,e13) = e13 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_926,c_0_888]),c_0_829]),c_0_872]),c_0_903]) ).

cnf(c_0_948,plain,
    ( op1(e11,e10) = e12
    | op1(e11,e11) = e12
    | op1(e11,e12) = e12 ),
    inference(sr,[status(thm)],[c_0_927,c_0_851]) ).

cnf(c_0_949,plain,
    op2(e23,e23) != op2(e23,e20),
    i_0_148 ).

cnf(c_0_950,plain,
    ( op2(e20,e21) = e22
    | op2(e20,e21) = e21
    | op2(e20,e21) = e23 ),
    inference(sr,[status(thm)],[c_0_928,c_0_929]) ).

cnf(c_0_951,plain,
    op2(e20,e21) != e22,
    inference(rw,[status(thm)],[c_0_930,c_0_895]) ).

cnf(c_0_952,plain,
    ( op2(op2(e22,e23),op2(e22,e23)) = e23
    | op2(op2(e21,e23),op2(e21,e23)) = e23
    | op2(e22,e22) = e23 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_931,c_0_932])]) ).

cnf(c_0_953,plain,
    ( op2(e22,e23) = e23
    | op2(e21,e23) = e23 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_933,c_0_860]),c_0_895]),c_0_876]),c_0_934]) ).

cnf(c_0_954,plain,
    ( op2(e22,e23) = e20
    | op2(e22,e21) != e23 ),
    inference(spm,[status(thm)],[c_0_935,c_0_936]) ).

cnf(c_0_955,plain,
    ( op2(e22,e21) = e22
    | op2(e22,e21) = e21
    | op2(e22,e21) = e23 ),
    inference(sr,[status(thm)],[c_0_937,c_0_938]) ).

cnf(c_0_956,plain,
    op2(e22,e22) != op2(e22,e21),
    i_0_153 ).

cnf(c_0_957,plain,
    op2(e23,e23) != op2(e21,e23),
    i_0_170 ).

cnf(c_0_958,plain,
    ( op2(e21,e20) = e20
    | op2(e21,e21) = e20
    | op2(e21,e22) = e20
    | op2(e21,e23) = e20 ),
    i_0_88 ).

cnf(c_0_959,plain,
    op2(e21,e21) != e20,
    inference(rw,[status(thm)],[c_0_939,c_0_875]) ).

cnf(c_0_960,plain,
    ( op1(e11,e13) = e10
    | op1(e11,e12) != e13 ),
    inference(spm,[status(thm)],[c_0_940,c_0_864]) ).

cnf(c_0_961,plain,
    ( op1(e11,e12) = e10
    | op1(e11,e12) = e11
    | op1(e11,e12) = e12
    | op1(e11,e12) = e13 ),
    i_0_10 ).

cnf(c_0_962,plain,
    ( op1(e12,e10) = e11
    | op1(e11,e10) = e11
    | op1(e10,e10) = e11 ),
    inference(sr,[status(thm)],[c_0_941,c_0_839]) ).

cnf(c_0_963,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e11) = e11
    | op1(e11,e11) = e12
    | op1(e12,e10) = e10 ),
    inference(spm,[status(thm)],[c_0_942,c_0_943]) ).

cnf(c_0_964,plain,
    ( op1(e12,e11) = e11
    | op1(e11,e11) = e11
    | op1(e10,e11) = e11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_944,c_0_834]),c_0_858]) ).

cnf(c_0_965,plain,
    ( op1(e11,e11) = e12
    | op1(e12,e12) = e11
    | op1(e12,e12) = e10
    | op1(e11,e13) = e13 ),
    inference(spm,[status(thm)],[c_0_945,c_0_946]) ).

cnf(c_0_966,plain,
    ( op1(e11,e10) = e12
    | op1(e11,e11) = e12
    | op1(e11,e13) = e13
    | op1(e12,e12) = e12 ),
    inference(spm,[status(thm)],[c_0_947,c_0_948]) ).

cnf(c_0_967,plain,
    ( op1(e10,e13) = e10
    | op1(e11,e13) = e10
    | op1(e12,e13) = e10
    | op1(e13,e13) = e10 ),
    i_0_23 ).

cnf(c_0_968,plain,
    ( op2(e20,e20) = e21
    | op2(e21,e20) = e21
    | op2(e22,e20) = e21
    | op2(e23,e20) = e21 ),
    i_0_93 ).

cnf(c_0_969,plain,
    op2(e23,e20) != e21,
    inference(rw,[status(thm)],[c_0_949,c_0_860]) ).

cnf(c_0_970,plain,
    op2(e22,e21) != op2(e20,e21),
    i_0_185 ).

cnf(c_0_971,plain,
    ( op2(e20,e21) = e23
    | op2(e20,e21) = e21 ),
    inference(sr,[status(thm)],[c_0_950,c_0_951]) ).

cnf(c_0_972,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    i_0_96 ).

cnf(c_0_973,plain,
    e22 != e20,
    i_0_203 ).

cnf(c_0_974,plain,
    ( op2(op2(e22,e23),op2(e22,e23)) = e23
    | op2(e22,e23) = e23
    | op2(e22,e22) = e23 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_952,c_0_953]),c_0_860]),c_0_876]) ).

cnf(c_0_975,plain,
    ( op2(e22,e21) = e22
    | op2(e22,e21) = e21
    | op2(e22,e23) = e20 ),
    inference(spm,[status(thm)],[c_0_954,c_0_955]) ).

cnf(c_0_976,plain,
    ( op2(e22,e21) = e22
    | op2(e22,e21) = e21
    | op2(e22,e22) != e23 ),
    inference(spm,[status(thm)],[c_0_956,c_0_955]) ).

cnf(c_0_977,plain,
    ( op2(e20,e21) = e22
    | op2(e21,e21) = e22
    | op2(e22,e21) = e22
    | op2(e23,e21) = e22 ),
    i_0_83 ).

cnf(c_0_978,plain,
    ( op2(e21,e20) = e21
    | op2(e21,e21) = e21
    | op2(e21,e22) = e21
    | op2(e21,e23) = e21 ),
    i_0_86 ).

cnf(c_0_979,plain,
    op2(e21,e23) != e21,
    inference(rw,[status(thm)],[c_0_957,c_0_860]) ).

cnf(c_0_980,plain,
    ( op2(e21,e22) = e20
    | op2(e21,e20) = e20
    | op2(e21,e23) = e20 ),
    inference(sr,[status(thm)],[c_0_958,c_0_959]) ).

cnf(c_0_981,plain,
    op2(e20,e23) != op2(e20,e20),
    i_0_166 ).

cnf(c_0_982,plain,
    ( op2(e21,e23) = e20
    | op2(e21,e23) = e21
    | op2(e21,e23) = e22
    | op2(e21,e23) = e23 ),
    i_0_57 ).

cnf(c_0_983,plain,
    op2(e21,e23) != op2(e20,e23),
    i_0_174 ).

cnf(c_0_984,plain,
    ( op1(op1(e10,e13),op1(e10,e13)) = e13
    | op1(op1(e11,e11),op1(e11,e11)) = e11
    | op1(op1(e12,e13),op1(e12,e13)) = e13
    | ~ epred1_0 ),
    i_0_275 ).

cnf(c_0_985,plain,
    ( op1(e11,e12) = e12
    | op1(e11,e12) = e11
    | op1(e11,e12) = e10
    | op1(e11,e13) = e10 ),
    inference(spm,[status(thm)],[c_0_960,c_0_961]) ).

cnf(c_0_986,plain,
    ( op1(e11,e12) = e12
    | op1(e11,e12) = e11
    | op1(e11,e12) = e10
    | op1(e11,e13) = e13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_947,c_0_961]),c_0_829]),c_0_855]) ).

cnf(c_0_987,plain,
    op1(e10,e10) != op1(e10,e11),
    i_0_120 ).

cnf(c_0_988,plain,
    ( op1(e11,e11) = e12
    | op1(e11,e11) = e11
    | op1(e11,e10) = e11
    | op1(e10,e10) = e11 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_962,c_0_963]),c_0_858]) ).

cnf(c_0_989,plain,
    ( op1(e11,e11) = e11
    | op1(e10,e11) = e11
    | op1(e11,e11) = e12 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_946,c_0_964]),c_0_855]) ).

cnf(c_0_990,plain,
    ( op1(e11,e10) = e12
    | op1(e11,e13) = e13
    | op1(e11,e11) = e12 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_965,c_0_966]),c_0_855]),c_0_906]) ).

cnf(c_0_991,plain,
    ( op1(op1(e10,e13),op1(e10,e13)) = e13
    | op1(op1(e11,e10),op1(e11,e10)) = e10
    | op1(op1(e12,e13),op1(e12,e13)) = e13
    | ~ epred1_0 ),
    i_0_279 ).

cnf(c_0_992,plain,
    op1(e12,e12) != op1(e11,e12),
    i_0_129 ).

cnf(c_0_993,plain,
    ( op1(e11,e10) = e12
    | op1(e11,e11) = e12
    | op1(e10,e12) = e10
    | op1(e12,e12) = e12 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_920,c_0_948]),c_0_906]) ).

cnf(c_0_994,plain,
    op1(e12,e10) != op1(e12,e13),
    i_0_106 ).

cnf(c_0_995,plain,
    ( op1(e12,e13) = e10
    | op1(e11,e13) = e10 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_967,c_0_829]),c_0_844]),c_0_858]),c_0_906]) ).

cnf(c_0_996,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e10) = e10
    | op1(e12,e10) = e10
    | op1(e13,e10) = e10 ),
    i_0_47 ).

cnf(c_0_997,plain,
    op2(e20,e21) != op2(e20,e20),
    i_0_168 ).

cnf(c_0_998,plain,
    ( op2(e22,e20) = e21
    | op2(e21,e20) = e21
    | op2(e20,e20) = e21 ),
    inference(sr,[status(thm)],[c_0_968,c_0_969]) ).

cnf(c_0_999,plain,
    ( op2(e20,e21) = e21
    | op2(e22,e21) != e23 ),
    inference(spm,[status(thm)],[c_0_970,c_0_971]) ).

cnf(c_0_1000,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e20) = e20 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_972,c_0_895]),c_0_973]),c_0_929]) ).

cnf(c_0_1001,plain,
    ( op2(e22,e21) = e21
    | op2(e22,e21) = e22
    | op2(e20,e20) = e23 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_974,c_0_975]),c_0_877]),c_0_976]) ).

cnf(c_0_1002,plain,
    ( op2(e22,e21) = e22
    | op2(e21,e21) = e22
    | op2(e20,e21) = e22 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_977,c_0_875]),c_0_973]) ).

cnf(c_0_1003,plain,
    ( op2(e21,e22) = e21
    | op2(e21,e21) = e21
    | op2(e21,e20) = e21 ),
    inference(sr,[status(thm)],[c_0_978,c_0_979]) ).

cnf(c_0_1004,plain,
    ( op2(e21,e22) = e20
    | op2(e21,e20) = e20
    | op2(e22,e23) = e23 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_953,c_0_980]),c_0_877]) ).

cnf(c_0_1005,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e20) = e21
    | op2(e20,e20) = e22
    | op2(e20,e20) = e23 ),
    i_0_64 ).

cnf(c_0_1006,plain,
    op2(e20,e20) != e22,
    inference(rw,[status(thm)],[c_0_981,c_0_895]) ).

cnf(c_0_1007,plain,
    ( op2(e21,e23) = e22
    | op2(e21,e23) = e20
    | op2(e21,e23) = e23 ),
    inference(sr,[status(thm)],[c_0_982,c_0_979]) ).

cnf(c_0_1008,plain,
    op2(e21,e23) != e22,
    inference(rw,[status(thm)],[c_0_983,c_0_895]) ).

cnf(c_0_1009,plain,
    ( op1(op1(e10,e13),op1(e10,e13)) = e13
    | op1(op1(e11,e13),op1(e11,e13)) = e13
    | op1(op1(e12,e13),op1(e12,e13)) = e13
    | ~ epred1_0 ),
    i_0_267 ).

cnf(c_0_1010,plain,
    ( op1(op1(e12,e13),op1(e12,e13)) = e13
    | op1(op1(e11,e11),op1(e11,e11)) = e11
    | op1(e12,e12) = e13
    | ~ epred1_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_984,c_0_844]),c_0_844]) ).

cnf(c_0_1011,plain,
    op1(e11,e12) != op1(e11,e11),
    i_0_111 ).

cnf(c_0_1012,plain,
    ( op1(e11,e12) = e10
    | op1(e11,e12) = e11
    | op1(e11,e12) = e12 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_985,c_0_986]),c_0_901]) ).

cnf(c_0_1013,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e11) = e11
    | op1(e11,e11) = e12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_987,c_0_988]),c_0_989]) ).

cnf(c_0_1014,plain,
    ( op1(e11,e10) = e12
    | op1(e11,e11) = e11
    | op1(e11,e11) = e12 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_897,c_0_990]),c_0_901]) ).

cnf(c_0_1015,plain,
    ( op1(op1(e12,e13),op1(e12,e13)) = e13
    | op1(op1(e11,e10),op1(e11,e10)) = e10
    | op1(e12,e12) = e13
    | ~ epred1_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_991,c_0_844]),c_0_844]) ).

cnf(c_0_1016,plain,
    op1(e10,e12) != op1(e10,e10),
    i_0_119 ).

cnf(c_0_1017,plain,
    ( op1(e10,e12) = e10
    | op1(e11,e11) = e12
    | op1(e11,e10) = e12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_992,c_0_993]),c_0_948]) ).

cnf(c_0_1018,plain,
    ( op1(e11,e13) = e10
    | op1(e12,e10) != e10 ),
    inference(spm,[status(thm)],[c_0_994,c_0_995]) ).

cnf(c_0_1019,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e10) = e10
    | op1(e12,e10) = e10 ),
    inference(sr,[status(thm)],[c_0_996,c_0_848]) ).

cnf(c_0_1020,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e11) = e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    i_0_48 ).

cnf(c_0_1021,plain,
    op1(e10,e11) != op1(e13,e11),
    i_0_136 ).

cnf(c_0_1022,plain,
    op1(e12,e13) != op1(e10,e13),
    i_0_125 ).

cnf(c_0_1023,plain,
    ( op2(e22,e20) = e21
    | op2(e21,e20) = e21
    | op2(e20,e21) != e21 ),
    inference(spm,[status(thm)],[c_0_997,c_0_998]) ).

cnf(c_0_1024,plain,
    ( op2(e22,e21) = e22
    | op2(e22,e21) = e21
    | op2(e20,e21) = e21 ),
    inference(spm,[status(thm)],[c_0_999,c_0_955]) ).

cnf(c_0_1025,plain,
    op2(e21,e22) != op2(e20,e22),
    i_0_180 ).

cnf(c_0_1026,plain,
    ( op2(e22,e21) = e22
    | op2(e22,e21) = e21
    | op2(e20,e22) = e20 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1000,c_0_1001]),c_0_877]) ).

cnf(c_0_1027,plain,
    ( op2(e21,e21) = e22
    | op2(e22,e21) = e22 ),
    inference(sr,[status(thm)],[c_0_1002,c_0_951]) ).

cnf(c_0_1028,plain,
    ( op2(e22,e23) = e23
    | op2(e21,e22) = e20
    | op2(e21,e22) = e21
    | op2(e21,e21) = e21 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1003,c_0_1004]),c_0_892]) ).

cnf(c_0_1029,plain,
    ( op2(e20,e20) = e23
    | op2(e20,e20) = e20
    | op2(e20,e20) = e21 ),
    inference(sr,[status(thm)],[c_0_1005,c_0_1006]) ).

cnf(c_0_1030,plain,
    ( op2(e22,e20) = e20
    | op2(e22,e21) = e20
    | op2(e22,e22) = e20
    | op2(e22,e23) = e20 ),
    i_0_80 ).

cnf(c_0_1031,plain,
    op2(e21,e23) != op2(e21,e21),
    i_0_158 ).

cnf(c_0_1032,plain,
    ( op2(e21,e23) = e23
    | op2(e21,e23) = e20 ),
    inference(sr,[status(thm)],[c_0_1007,c_0_1008]) ).

cnf(c_0_1033,plain,
    ( op2(e21,e21) = e20
    | op2(e21,e21) = e21
    | op2(e21,e21) = e22
    | op2(e21,e21) = e23 ),
    i_0_59 ).

cnf(c_0_1034,plain,
    ( op1(op1(e12,e13),op1(e12,e13)) = e13
    | op1(op1(e11,e13),op1(e11,e13)) = e13
    | op1(e12,e12) = e13
    | ~ epred1_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1009,c_0_844]),c_0_844]) ).

cnf(c_0_1035,plain,
    ( op1(op1(e12,e13),op1(e12,e13)) = e13
    | op1(op1(e11,e11),op1(e11,e11)) = e11
    | op1(e12,e12) = e13 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1010,c_0_884])]) ).

cnf(c_0_1036,plain,
    ( op1(e11,e12) = e11
    | op1(e11,e12) = e10
    | op1(e11,e11) != e12 ),
    inference(spm,[status(thm)],[c_0_1011,c_0_1012]) ).

cnf(c_0_1037,plain,
    ( op1(e11,e11) = e12
    | op1(e11,e11) = e11 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1013,c_0_1014]),c_0_855]) ).

cnf(c_0_1038,plain,
    op1(e11,e10) != op1(e11,e13),
    i_0_112 ).

cnf(c_0_1039,plain,
    ( op1(op1(e12,e13),op1(e12,e13)) = e13
    | op1(op1(e11,e10),op1(e11,e10)) = e10
    | op1(e12,e12) = e13 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1015,c_0_884])]) ).

cnf(c_0_1040,plain,
    ( op1(e11,e10) = e12
    | op1(e11,e11) = e12
    | op1(e10,e10) != e10 ),
    inference(spm,[status(thm)],[c_0_1016,c_0_1017]) ).

cnf(c_0_1041,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e10) = e10
    | op1(e11,e13) = e10 ),
    inference(spm,[status(thm)],[c_0_1018,c_0_1019]) ).

cnf(c_0_1042,plain,
    ( op1(e12,e12) = e10
    | op1(e12,e10) = e10
    | op1(e11,e13) = e13 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_888,c_0_880]),c_0_901]) ).

cnf(c_0_1043,plain,
    ( op1(e10,e12) = e10
    | op1(e10,e11) = e10
    | op1(e10,e10) = e10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1020,c_0_844]),c_0_906]) ).

cnf(c_0_1044,plain,
    op1(e10,e11) != e10,
    inference(rw,[status(thm)],[c_0_1021,c_0_834]) ).

cnf(c_0_1045,plain,
    ( op1(e10,e12) = e11
    | op1(e11,e12) = e11
    | op1(e12,e12) = e11
    | op1(e13,e12) = e11 ),
    i_0_29 ).

cnf(c_0_1046,plain,
    ( op1(e12,e10) = e12
    | op1(e12,e11) = e12
    | op1(e12,e12) = e12
    | op1(e12,e13) = e12 ),
    i_0_28 ).

cnf(c_0_1047,plain,
    op1(e12,e13) != e12,
    inference(rw,[status(thm)],[c_0_1022,c_0_844]) ).

cnf(c_0_1048,plain,
    ( op2(op2(e20,e23),op2(e20,e23)) = e23
    | op2(op2(e21,e23),op2(e21,e23)) = e23
    | op2(op2(e22,e20),op2(e22,e20)) = e20
    | ~ epred2_0 ),
    i_0_334 ).

cnf(c_0_1049,plain,
    op2(e21,e22) != op2(e21,e20),
    i_0_161 ).

cnf(c_0_1050,plain,
    ( op2(e22,e21) = e21
    | op2(e22,e21) = e22
    | op2(e21,e20) = e21
    | op2(e22,e20) = e21 ),
    inference(spm,[status(thm)],[c_0_1023,c_0_1024]) ).

cnf(c_0_1051,plain,
    ( op2(e22,e21) = e21
    | op2(e22,e21) = e22
    | op2(e21,e22) != e20 ),
    inference(spm,[status(thm)],[c_0_1025,c_0_1026]) ).

cnf(c_0_1052,plain,
    ( op2(e21,e22) = e21
    | op2(e21,e22) = e20
    | op2(e22,e23) = e23
    | op2(e22,e21) = e22 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1027,c_0_1028]),c_0_913]) ).

cnf(c_0_1053,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e20) = e21
    | op2(e20,e21) != e23 ),
    inference(spm,[status(thm)],[c_0_997,c_0_1029]) ).

cnf(c_0_1054,plain,
    ( op2(e22,e22) = e20
    | op2(e22,e20) = e20
    | op2(e22,e23) = e20 ),
    inference(sr,[status(thm)],[c_0_1030,c_0_938]) ).

cnf(c_0_1055,plain,
    ( op2(e21,e23) = e20
    | op2(e21,e21) != e23 ),
    inference(spm,[status(thm)],[c_0_1031,c_0_1032]) ).

cnf(c_0_1056,plain,
    ( op2(e21,e21) = e22
    | op2(e21,e21) = e21
    | op2(e21,e21) = e23 ),
    inference(sr,[status(thm)],[c_0_1033,c_0_959]) ).

cnf(c_0_1057,plain,
    ( op1(e10,e10) = e11
    | op1(e10,e11) = e11
    | op1(e10,e12) = e11
    | op1(e10,e13) = e11 ),
    i_0_46 ).

cnf(c_0_1058,plain,
    ( op1(op1(e12,e13),op1(e12,e13)) = e13
    | op1(op1(e11,e13),op1(e11,e13)) = e13
    | op1(e12,e12) = e13 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1034,c_0_884])]) ).

cnf(c_0_1059,plain,
    ( op1(e11,e10) = e10
    | op1(e11,e11) = e10
    | op1(e11,e12) = e10
    | op1(e11,e13) = e10 ),
    i_0_40 ).

cnf(c_0_1060,plain,
    ( op1(op1(e11,e11),op1(e11,e11)) = e11
    | op1(e11,e13) = e13 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1035,c_0_888]),c_0_829]),c_0_872]),c_0_903]) ).

cnf(c_0_1061,plain,
    ( op1(e11,e11) = e11
    | op1(e11,e12) = e10
    | op1(e11,e12) = e11 ),
    inference(spm,[status(thm)],[c_0_1036,c_0_1037]) ).

cnf(c_0_1062,plain,
    op1(e10,e12) != op1(e10,e13),
    i_0_115 ).

cnf(c_0_1063,plain,
    ( op1(e11,e13) = e10
    | op1(e11,e10) != e13 ),
    inference(spm,[status(thm)],[c_0_1038,c_0_864]) ).

cnf(c_0_1064,plain,
    ( op1(e11,e10) = e10
    | op1(e11,e10) = e11
    | op1(e11,e10) = e12
    | op1(e11,e10) = e13 ),
    i_0_12 ).

cnf(c_0_1065,plain,
    ( op1(op1(e11,e10),op1(e11,e10)) = e10
    | op1(e11,e13) = e13 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1039,c_0_888]),c_0_829]),c_0_872]),c_0_903]) ).

cnf(c_0_1066,plain,
    ( op1(e11,e13) = e10
    | op1(e11,e10) = e10
    | op1(e11,e11) = e12
    | op1(e11,e10) = e12 ),
    inference(spm,[status(thm)],[c_0_1040,c_0_1041]) ).

cnf(c_0_1067,plain,
    ( op1(e11,e13) = e13
    | op1(e12,e10) = e10
    | op1(e10,e12) != e10 ),
    inference(spm,[status(thm)],[c_0_918,c_0_1042]) ).

cnf(c_0_1068,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e12) = e10 ),
    inference(sr,[status(thm)],[c_0_1043,c_0_1044]) ).

cnf(c_0_1069,plain,
    ( op1(e12,e12) = e11
    | op1(e11,e12) = e11
    | op1(e10,e12) = e11 ),
    inference(sr,[status(thm)],[c_0_1045,c_0_836]) ).

cnf(c_0_1070,plain,
    ( op1(e12,e12) = e12
    | op1(e12,e11) = e12
    | op1(e12,e10) = e12 ),
    inference(sr,[status(thm)],[c_0_1046,c_0_1047]) ).

cnf(c_0_1071,plain,
    ( op2(op2(e22,e20),op2(e22,e20)) = e20
    | op2(op2(e21,e23),op2(e21,e23)) = e23
    | op2(e22,e22) = e23
    | ~ epred2_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1048,c_0_895]),c_0_895]) ).

cnf(c_0_1072,plain,
    ( op2(e22,e20) = e21
    | op2(e22,e21) = e22
    | op2(e22,e21) = e21
    | op2(e21,e22) != e21 ),
    inference(spm,[status(thm)],[c_0_1049,c_0_1050]) ).

cnf(c_0_1073,plain,
    ( op2(e22,e23) = e23
    | op2(e21,e22) = e21
    | op2(e22,e21) = e22
    | op2(e22,e21) = e21 ),
    inference(spm,[status(thm)],[c_0_1051,c_0_1052]) ).

cnf(c_0_1074,plain,
    ( op2(e20,e21) = e21
    | op2(e20,e20) = e21
    | op2(e20,e20) = e20 ),
    inference(spm,[status(thm)],[c_0_1053,c_0_971]) ).

cnf(c_0_1075,plain,
    ( op2(e22,e22) = e20
    | op2(e22,e20) = e20
    | op2(e22,e22) = e23
    | op2(e20,e20) = e23 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_974,c_0_1054]),c_0_877]) ).

cnf(c_0_1076,plain,
    op2(e22,e23) != op2(e21,e23),
    i_0_171 ).

cnf(c_0_1077,plain,
    ( op2(e21,e21) = e22
    | op2(e21,e21) = e21
    | op2(e21,e23) = e20 ),
    inference(spm,[status(thm)],[c_0_1055,c_0_1056]) ).

cnf(c_0_1078,plain,
    op1(e10,e10) != op1(e13,e10),
    i_0_142 ).

cnf(c_0_1079,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e10) = e11
    | op1(e10,e10) = e12
    | op1(e10,e10) = e13 ),
    i_0_16 ).

cnf(c_0_1080,plain,
    ( op1(e10,e12) = e11
    | op1(e10,e11) = e11
    | op1(e10,e10) = e11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1057,c_0_844]),c_0_855]) ).

cnf(c_0_1081,plain,
    ( op1(op1(e11,e13),op1(e11,e13)) = e13
    | op1(e11,e13) = e13 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1058,c_0_888]),c_0_829]),c_0_872]),c_0_903]) ).

cnf(c_0_1082,plain,
    ( op1(e11,e12) = e10
    | op1(e11,e10) = e10
    | op1(e11,e13) = e10 ),
    inference(sr,[status(thm)],[c_0_1059,c_0_866]) ).

cnf(c_0_1083,plain,
    ( op1(e11,e11) = e11
    | op1(e11,e13) = e13
    | op1(e12,e12) = e11 ),
    inference(spm,[status(thm)],[c_0_1060,c_0_1037]) ).

cnf(c_0_1084,plain,
    ( op1(e11,e12) = e11
    | op1(e11,e11) = e11
    | op1(e11,e13) = e13 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_947,c_0_1061]),c_0_900]) ).

cnf(c_0_1085,plain,
    ( op1(e10,e12) = e10
    | op1(e10,e12) = e11
    | op1(e10,e12) = e12
    | op1(e10,e12) = e13 ),
    i_0_14 ).

cnf(c_0_1086,plain,
    op1(e10,e12) != e12,
    inference(rw,[status(thm)],[c_0_1062,c_0_844]) ).

cnf(c_0_1087,plain,
    ( op1(e11,e10) = e12
    | op1(e11,e10) = e11
    | op1(e11,e10) = e10
    | op1(e11,e13) = e10 ),
    inference(spm,[status(thm)],[c_0_1063,c_0_1064]) ).

cnf(c_0_1088,plain,
    ( op1(e11,e10) = e12
    | op1(e11,e10) = e11
    | op1(e11,e10) = e10
    | op1(e11,e13) = e13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1065,c_0_1064]),c_0_829]),c_0_858]) ).

cnf(c_0_1089,plain,
    ( op1(e11,e13) = e13
    | op1(e12,e12) = e11
    | op1(e11,e11) = e12
    | op1(e10,e12) != e10 ),
    inference(spm,[status(thm)],[c_0_918,c_0_965]) ).

cnf(c_0_1090,plain,
    ( op1(e11,e10) = e12
    | op1(e11,e11) = e12
    | op1(e11,e10) = e10 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1066,c_0_990]),c_0_901]) ).

cnf(c_0_1091,plain,
    op1(e12,e10) != op1(e11,e10),
    i_0_141 ).

cnf(c_0_1092,plain,
    ( op1(e10,e10) = e10
    | op1(e12,e10) = e10
    | op1(e11,e13) = e13 ),
    inference(spm,[status(thm)],[c_0_1067,c_0_1068]) ).

cnf(c_0_1093,plain,
    ( op1(e12,e11) = e12
    | op1(e12,e10) = e12
    | op1(e11,e12) = e11
    | op1(e10,e12) = e11 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1069,c_0_1070]),c_0_855]) ).

cnf(c_0_1094,plain,
    ( op1(e11,e13) = e13
    | op1(e12,e10) = e10
    | op1(e11,e12) = e11
    | op1(e10,e12) = e11 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1069,c_0_1042]),c_0_858]) ).

cnf(c_0_1095,plain,
    ( op2(op2(e22,e20),op2(e22,e20)) = e20
    | op2(op2(e21,e23),op2(e21,e23)) = e23
    | op2(e22,e22) = e23 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1071,c_0_932])]) ).

cnf(c_0_1096,plain,
    ( op2(e22,e23) = e23
    | op2(e22,e21) = e21
    | op2(e22,e21) = e22
    | op2(e22,e20) = e21 ),
    inference(spm,[status(thm)],[c_0_1072,c_0_1073]) ).

cnf(c_0_1097,plain,
    op2(e21,e21) != op2(e20,e21),
    i_0_186 ).

cnf(c_0_1098,plain,
    ( op2(e22,e22) = e23
    | op2(e22,e20) = e20
    | op2(e22,e22) = e20
    | op2(e20,e21) = e21 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1074,c_0_1075]),c_0_876]),c_0_877]) ).

cnf(c_0_1099,plain,
    ( op2(e21,e21) = e21
    | op2(e21,e21) = e22
    | op2(e22,e23) != e20 ),
    inference(spm,[status(thm)],[c_0_1076,c_0_1077]) ).

cnf(c_0_1100,plain,
    ( op1(e13,e10) = e12
    | op1(e10,e10) != e13 ),
    inference(spm,[status(thm)],[c_0_1078,c_0_857]) ).

cnf(c_0_1101,plain,
    ( op1(e10,e10) = e13
    | op1(e10,e10) = e10
    | op1(e10,e10) = e11 ),
    inference(sr,[status(thm)],[c_0_1079,c_0_900]) ).

cnf(c_0_1102,plain,
    ( op1(e10,e11) = e11
    | op1(e10,e10) = e11
    | op1(e10,e10) = e10 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1068,c_0_1080]),c_0_858]) ).

cnf(c_0_1103,plain,
    ( op1(e11,e12) = e10
    | op1(e11,e10) = e10
    | op1(e10,e10) = e13 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1081,c_0_1082]),c_0_901]) ).

cnf(c_0_1104,plain,
    ( op1(e11,e13) = e13
    | op1(e11,e11) = e11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_992,c_0_1083]),c_0_1084]) ).

cnf(c_0_1105,plain,
    op1(e10,e12) != op1(e10,e11),
    i_0_117 ).

cnf(c_0_1106,plain,
    ( op1(e10,e12) = e13
    | op1(e10,e12) = e10
    | op1(e10,e12) = e11 ),
    inference(sr,[status(thm)],[c_0_1085,c_0_1086]) ).

cnf(c_0_1107,plain,
    ( op1(e10,e11) = e10
    | op1(e10,e11) = e11
    | op1(e10,e11) = e12
    | op1(e10,e11) = e13 ),
    i_0_15 ).

cnf(c_0_1108,plain,
    ( op1(e11,e10) = e10
    | op1(e11,e10) = e11
    | op1(e11,e10) = e12 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1087,c_0_1088]),c_0_901]) ).

cnf(c_0_1109,plain,
    op1(e12,e10) != op1(e10,e10),
    i_0_143 ).

cnf(c_0_1110,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e11) = e12
    | op1(e12,e12) = e11
    | op1(e11,e13) = e13 ),
    inference(spm,[status(thm)],[c_0_1089,c_0_1068]) ).

cnf(c_0_1111,plain,
    ( op1(e11,e10) = e10
    | op1(e11,e11) = e12
    | op1(e11,e13) = e13
    | op1(e12,e12) = e10 ),
    inference(spm,[status(thm)],[c_0_1065,c_0_1090]) ).

cnf(c_0_1112,plain,
    ( op1(e11,e13) = e13
    | op1(e10,e10) = e10
    | op1(e11,e10) != e10 ),
    inference(spm,[status(thm)],[c_0_1091,c_0_1092]) ).

cnf(c_0_1113,plain,
    op1(e12,e11) != op1(e11,e11),
    i_0_135 ).

cnf(c_0_1114,plain,
    ( op1(e11,e13) = e13
    | op1(e10,e12) = e11
    | op1(e11,e12) = e11
    | op1(e12,e11) = e12 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1093,c_0_1094]),c_0_906]) ).

cnf(c_0_1115,plain,
    ( op1(e11,e12) = e11
    | op1(e11,e12) = e10
    | op1(e11,e13) = e13
    | op1(e12,e12) = e12 ),
    inference(spm,[status(thm)],[c_0_947,c_0_1012]) ).

cnf(c_0_1116,plain,
    ( op2(op2(e22,e20),op2(e22,e20)) = e20
    | op2(e22,e23) = e23
    | op2(e22,e22) = e23 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1095,c_0_953]),c_0_860]),c_0_876]) ).

cnf(c_0_1117,plain,
    ( op2(e22,e20) = e21
    | op2(e22,e21) = e21
    | op2(e22,e21) = e22 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_975,c_0_1096]),c_0_877]) ).

cnf(c_0_1118,plain,
    ( op2(e22,e22) = e20
    | op2(e22,e20) = e20
    | op2(e22,e22) = e23
    | op2(e21,e21) != e21 ),
    inference(spm,[status(thm)],[c_0_1097,c_0_1098]) ).

cnf(c_0_1119,plain,
    ( op2(e22,e22) = e20
    | op2(e22,e20) = e20
    | op2(e21,e21) = e22
    | op2(e21,e21) = e21 ),
    inference(spm,[status(thm)],[c_0_1099,c_0_1054]) ).

cnf(c_0_1120,plain,
    op2(e21,e20) != op2(e20,e20),
    i_0_192 ).

cnf(c_0_1121,plain,
    ( op1(e12,e10) = e10
    | op1(e12,e10) = e11
    | op1(e12,e10) = e12
    | op1(e12,e10) = e13 ),
    i_0_8 ).

cnf(c_0_1122,plain,
    op1(e12,e10) != op1(e13,e10),
    i_0_139 ).

cnf(c_0_1123,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e10) = e11
    | op1(e13,e10) = e12 ),
    inference(spm,[status(thm)],[c_0_1100,c_0_1101]) ).

cnf(c_0_1124,plain,
    op1(e10,e12) != op1(e11,e12),
    i_0_132 ).

cnf(c_0_1125,plain,
    op1(e10,e11) != op1(e11,e11),
    i_0_138 ).

cnf(c_0_1126,plain,
    ( op1(e11,e10) = e10
    | op1(e11,e12) = e10
    | op1(e10,e11) = e11 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1102,c_0_1103]),c_0_872]),c_0_901]) ).

cnf(c_0_1127,plain,
    ( op1(e11,e11) = e11
    | op1(e11,e12) = e10
    | op1(e11,e10) = e10 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1082,c_0_1104]),c_0_901]) ).

cnf(c_0_1128,plain,
    ( op1(e10,e12) = e10
    | op1(e10,e12) = e11
    | op1(e10,e11) != e13 ),
    inference(spm,[status(thm)],[c_0_1105,c_0_1106]) ).

cnf(c_0_1129,plain,
    ( op1(e10,e11) = e13
    | op1(e10,e11) = e11 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1107,c_0_1044]),c_0_925]) ).

cnf(c_0_1130,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e10) = e10
    | op1(e11,e13) = e13
    | op1(e12,e12) = e10 ),
    inference(spm,[status(thm)],[c_0_1065,c_0_1108]) ).

cnf(c_0_1131,plain,
    ( op1(e10,e12) = e11
    | op1(e11,e12) = e11
    | op1(e11,e13) = e13
    | op1(e10,e10) != e10 ),
    inference(spm,[status(thm)],[c_0_1109,c_0_1094]) ).

cnf(c_0_1132,plain,
    ( op1(e11,e13) = e13
    | op1(e11,e11) = e12
    | op1(e10,e10) = e10 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1110,c_0_1111]),c_0_858]),c_0_1112]) ).

cnf(c_0_1133,plain,
    ( op1(e11,e12) = e11
    | op1(e10,e12) = e11
    | op1(e11,e13) = e13
    | op1(e11,e11) != e12 ),
    inference(spm,[status(thm)],[c_0_1113,c_0_1114]) ).

cnf(c_0_1134,plain,
    ( op1(e11,e13) = e13
    | op1(e11,e12) = e10
    | op1(e11,e12) = e11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_992,c_0_1115]),c_0_1012]) ).

cnf(c_0_1135,plain,
    ( op2(e22,e21) = e22
    | op2(e22,e21) = e21
    | op2(e22,e23) = e23 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1116,c_0_1117]),c_0_959]),c_0_976]) ).

cnf(c_0_1136,plain,
    op2(e22,e21) != op2(e21,e21),
    i_0_183 ).

cnf(c_0_1137,plain,
    ( op2(e21,e21) = e22
    | op2(e22,e22) = e23
    | op2(e22,e20) = e20
    | op2(e22,e22) = e20 ),
    inference(spm,[status(thm)],[c_0_1118,c_0_1119]) ).

cnf(c_0_1138,plain,
    ( op2(e20,e22) = e20
    | op2(e21,e20) != e20 ),
    inference(spm,[status(thm)],[c_0_1120,c_0_1000]) ).

cnf(c_0_1139,plain,
    ( op1(e12,e10) = e12
    | op1(e12,e10) = e11
    | op1(e12,e10) = e10
    | op1(e10,e10) != e13 ),
    inference(spm,[status(thm)],[c_0_1109,c_0_1121]) ).

cnf(c_0_1140,plain,
    ( op1(e10,e10) = e11
    | op1(e10,e10) = e10
    | op1(e12,e10) != e12 ),
    inference(spm,[status(thm)],[c_0_1122,c_0_1123]) ).

cnf(c_0_1141,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e12) != e10 ),
    inference(spm,[status(thm)],[c_0_1124,c_0_1068]) ).

cnf(c_0_1142,plain,
    ( op1(e11,e12) = e10
    | op1(e11,e10) = e10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1125,c_0_1126]),c_0_1127]) ).

cnf(c_0_1143,plain,
    ( op1(e10,e11) = e11
    | op1(e10,e12) = e11
    | op1(e10,e12) = e10 ),
    inference(spm,[status(thm)],[c_0_1128,c_0_1129]) ).

cnf(c_0_1144,plain,
    ( op1(e11,e13) = e13
    | op1(e11,e10) = e10
    | op1(e11,e10) = e11
    | op1(e10,e12) != e10 ),
    inference(spm,[status(thm)],[c_0_918,c_0_1130]) ).

cnf(c_0_1145,plain,
    ( op1(e11,e13) = e13
    | op1(e11,e12) = e11
    | op1(e10,e12) = e11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1131,c_0_1132]),c_0_1133]) ).

cnf(c_0_1146,plain,
    ( op1(e11,e12) = e11
    | op1(e11,e12) = e10
    | op1(e11,e10) = e10 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1082,c_0_1134]),c_0_901]) ).

cnf(c_0_1147,plain,
    op2(e22,e20) != op2(e20,e20),
    i_0_191 ).

cnf(c_0_1148,plain,
    op2(e22,e20) != op2(e21,e20),
    i_0_189 ).

cnf(c_0_1149,plain,
    ( op2(e22,e22) = e20
    | op2(e22,e20) = e20
    | op2(e22,e22) = e23
    | op2(e22,e21) != e21 ),
    inference(spm,[status(thm)],[c_0_970,c_0_1098]) ).

cnf(c_0_1150,plain,
    ( op2(e22,e21) = e21
    | op2(e22,e21) = e22 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_975,c_0_1135]),c_0_877]) ).

cnf(c_0_1151,plain,
    ( op2(e22,e22) = e20
    | op2(e22,e20) = e20
    | op2(e22,e22) = e23
    | op2(e22,e21) != e22 ),
    inference(spm,[status(thm)],[c_0_1136,c_0_1137]) ).

cnf(c_0_1152,plain,
    op2(e22,e22) != op2(e20,e22),
    i_0_179 ).

cnf(c_0_1153,plain,
    ( op2(e22,e23) = e23
    | op2(e21,e22) = e20
    | op2(e20,e22) = e20 ),
    inference(spm,[status(thm)],[c_0_1138,c_0_1004]) ).

cnf(c_0_1154,plain,
    op1(e12,e13) != op1(e13,e13),
    i_0_121 ).

cnf(c_0_1155,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e10) = e11
    | op1(e12,e10) = e10
    | op1(e12,e10) = e11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1139,c_0_1101]),c_0_1140]) ).

cnf(c_0_1156,plain,
    ( op1(e11,e10) = e10
    | op1(e10,e10) = e10 ),
    inference(spm,[status(thm)],[c_0_1141,c_0_1142]) ).

cnf(c_0_1157,plain,
    ( op1(e10,e12) = e11
    | op1(e10,e11) = e11
    | op1(e10,e10) != e10 ),
    inference(spm,[status(thm)],[c_0_1016,c_0_1143]) ).

cnf(c_0_1158,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e10) = e11
    | op1(e11,e13) = e13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1144,c_0_1068]),c_0_1112]) ).

cnf(c_0_1159,plain,
    op1(e10,e10) != op1(e11,e10),
    i_0_144 ).

cnf(c_0_1160,plain,
    ( op1(e11,e12) = e11
    | op1(e11,e13) = e13
    | op1(e10,e10) = e10 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1068,c_0_1145]),c_0_858]) ).

cnf(c_0_1161,plain,
    ( op1(e11,e10) = e10
    | op1(e11,e12) = e11
    | op1(e11,e13) = e13 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_947,c_0_1146]),c_0_900]) ).

cnf(c_0_1162,plain,
    ( op2(e20,e22) = e20
    | op2(e22,e20) != e20 ),
    inference(spm,[status(thm)],[c_0_1147,c_0_1000]) ).

cnf(c_0_1163,plain,
    ( op2(e22,e23) = e23
    | op2(e21,e22) = e20
    | op2(e22,e20) != e20 ),
    inference(spm,[status(thm)],[c_0_1148,c_0_1004]) ).

cnf(c_0_1164,plain,
    ( op2(e22,e22) = e23
    | op2(e22,e20) = e20
    | op2(e22,e22) = e20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1149,c_0_1150]),c_0_1151]) ).

cnf(c_0_1165,plain,
    ( op2(e21,e22) = e20
    | op2(e22,e23) = e23
    | op2(e22,e22) != e20 ),
    inference(spm,[status(thm)],[c_0_1152,c_0_1153]) ).

cnf(c_0_1166,plain,
    ( op1(e12,e13) = e10
    | op1(e12,e13) = e11
    | op1(e12,e13) = e12
    | op1(e12,e13) = e13 ),
    i_0_5 ).

cnf(c_0_1167,plain,
    op1(e12,e13) != e11,
    inference(rw,[status(thm)],[c_0_1154,c_0_829]) ).

cnf(c_0_1168,plain,
    ( op1(e12,e10) = e11
    | op1(e10,e10) = e11
    | op1(e10,e10) = e10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1091,c_0_1155]),c_0_1156]) ).

cnf(c_0_1169,plain,
    ( op1(e11,e13) = e13
    | op1(e11,e10) = e11
    | op1(e10,e11) = e11
    | op1(e10,e12) = e11 ),
    inference(spm,[status(thm)],[c_0_1157,c_0_1158]) ).

cnf(c_0_1170,plain,
    ( op1(e11,e13) = e13
    | op1(e11,e12) = e11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1159,c_0_1160]),c_0_1161]) ).

cnf(c_0_1171,plain,
    ( op2(e23,e20) = e20
    | op2(e23,e20) = e21
    | op2(e23,e20) = e22
    | op2(e23,e20) = e23 ),
    i_0_52 ).

cnf(c_0_1172,plain,
    op2(e23,e21) != op2(e23,e20),
    i_0_150 ).

cnf(c_0_1173,plain,
    ( op2(e22,e22) = e23
    | op2(e22,e22) = e20
    | op2(e20,e22) = e20 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1000,c_0_1075]),c_0_877]),c_0_1162]) ).

cnf(c_0_1174,plain,
    op2(e22,e22) != op2(e21,e22),
    i_0_177 ).

cnf(c_0_1175,plain,
    ( op2(e22,e22) = e23
    | op2(e21,e22) = e20
    | op2(e22,e23) = e23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1163,c_0_1164]),c_0_1165]) ).

cnf(c_0_1176,plain,
    op1(e12,e11) != op1(e12,e13),
    i_0_104 ).

cnf(c_0_1177,plain,
    ( op1(e12,e13) = e10
    | op1(e12,e13) = e13 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1166,c_0_1167]),c_0_1047]) ).

cnf(c_0_1178,plain,
    ( op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    i_0_33 ).

cnf(c_0_1179,plain,
    ( op1(e10,e10) = e11
    | op1(e11,e13) = e13
    | op1(e10,e10) = e10 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1092,c_0_1168]),c_0_858]) ).

cnf(c_0_1180,plain,
    ( op1(e11,e10) = e10
    | op1(e11,e13) = e13 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_947,c_0_1142]),c_0_900]) ).

cnf(c_0_1181,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e10) = e11
    | op1(e11,e13) = e13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1124,c_0_1169]),c_0_1170]) ).

cnf(c_0_1182,plain,
    ( op2(e23,e20) = e22
    | op2(e23,e20) = e20
    | op2(e23,e20) = e23 ),
    inference(sr,[status(thm)],[c_0_1171,c_0_969]) ).

cnf(c_0_1183,plain,
    op2(e23,e20) != e20,
    inference(rw,[status(thm)],[c_0_1172,c_0_875]) ).

cnf(c_0_1184,plain,
    ( op2(e23,e20) = e22
    | op2(e23,e21) = e22
    | op2(e23,e22) = e22
    | op2(e23,e23) = e22 ),
    i_0_68 ).

cnf(c_0_1185,plain,
    ( op2(e22,e22) = e20
    | op2(e22,e22) = e23
    | op2(e21,e22) != e20 ),
    inference(spm,[status(thm)],[c_0_1025,c_0_1173]) ).

cnf(c_0_1186,plain,
    ( op2(e22,e23) = e23
    | op2(e22,e22) = e23
    | op2(e22,e22) != e20 ),
    inference(spm,[status(thm)],[c_0_1174,c_0_1175]) ).

cnf(c_0_1187,plain,
    ( op1(op1(e10,e12),op1(e10,e12)) = e12
    | op1(op1(e11,e13),op1(e11,e13)) = e13
    | op1(op1(e12,e13),op1(e12,e13)) = e13
    | ~ epred1_0 ),
    i_0_283 ).

cnf(c_0_1188,plain,
    ( op1(e12,e13) = e10
    | op1(e12,e11) != e13 ),
    inference(spm,[status(thm)],[c_0_1176,c_0_1177]) ).

cnf(c_0_1189,plain,
    ( op1(e12,e11) = e13
    | op1(e11,e11) = e13
    | op1(e10,e11) = e13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1178,c_0_834]),c_0_901]) ).

cnf(c_0_1190,plain,
    ( op1(e11,e13) = e13
    | op1(e10,e10) = e11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1159,c_0_1179]),c_0_1180]) ).

cnf(c_0_1191,plain,
    ( op1(e11,e13) = e13
    | op1(e11,e10) = e11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1125,c_0_1181]),c_0_1104]) ).

cnf(c_0_1192,plain,
    ( op1(e13,e10) = e13
    | op1(e13,e11) = e13
    | op1(e13,e12) = e13
    | op1(e13,e13) = e13 ),
    i_0_18 ).

cnf(c_0_1193,plain,
    op2(e23,e20) != op2(e20,e20),
    i_0_190 ).

cnf(c_0_1194,plain,
    ( op2(e23,e20) = e23
    | op2(e23,e20) = e22 ),
    inference(sr,[status(thm)],[c_0_1182,c_0_1183]) ).

cnf(c_0_1195,plain,
    ( op2(e20,e20) = e23
    | op2(e20,e21) = e23
    | op2(e20,e22) = e23
    | op2(e20,e23) = e23 ),
    i_0_90 ).

cnf(c_0_1196,plain,
    op2(e23,e20) != op2(e21,e20),
    i_0_188 ).

cnf(c_0_1197,plain,
    ( op2(e23,e22) = e22
    | op2(e23,e20) = e22 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1184,c_0_860]),c_0_875]),c_0_913]),c_0_973]) ).

cnf(c_0_1198,plain,
    ( op2(e21,e20) = e22
    | op2(e21,e21) = e22
    | op2(e21,e22) = e22
    | op2(e21,e23) = e22 ),
    i_0_84 ).

cnf(c_0_1199,plain,
    ( op2(e21,e23) = e20
    | op2(e22,e23) != e23 ),
    inference(spm,[status(thm)],[c_0_1076,c_0_1032]) ).

cnf(c_0_1200,plain,
    ( op2(e22,e23) = e23
    | op2(e22,e22) = e23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1185,c_0_1175]),c_0_1186]) ).

cnf(c_0_1201,plain,
    ( op1(op1(e12,e13),op1(e12,e13)) = e13
    | op1(op1(e11,e13),op1(e11,e13)) = e13
    | op1(op1(e10,e12),op1(e10,e12)) = e12 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1187,c_0_884])]) ).

cnf(c_0_1202,plain,
    ( op1(e11,e11) = e13
    | op1(e10,e11) = e13
    | op1(e12,e13) = e10 ),
    inference(spm,[status(thm)],[c_0_1188,c_0_1189]) ).

cnf(c_0_1203,plain,
    op1(e11,e13) = e13,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1159,c_0_1190]),c_0_1191]) ).

cnf(c_0_1204,plain,
    op1(e10,e12) != op1(e13,e12),
    i_0_130 ).

cnf(c_0_1205,plain,
    ( op1(e13,e12) = e13
    | op1(e13,e10) = e13 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1192,c_0_829]),c_0_834]),c_0_872]),c_0_901]) ).

cnf(c_0_1206,plain,
    ( op1(e10,e10) = e13
    | op1(e10,e11) = e13
    | op1(e10,e12) = e13
    | op1(e10,e13) = e13 ),
    i_0_42 ).

cnf(c_0_1207,plain,
    ( op2(e23,e20) = e22
    | op2(e20,e20) != e23 ),
    inference(spm,[status(thm)],[c_0_1193,c_0_1194]) ).

cnf(c_0_1208,plain,
    ( op2(e23,e22) = e23
    | op2(e20,e20) != e23 ),
    inference(spm,[status(thm)],[c_0_1193,c_0_891]) ).

cnf(c_0_1209,plain,
    ( op2(e20,e22) = e23
    | op2(e20,e21) = e23
    | op2(e20,e20) = e23 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1195,c_0_895]),c_0_934]) ).

cnf(c_0_1210,plain,
    ( op2(e23,e22) = e22
    | op2(e21,e20) != e22 ),
    inference(spm,[status(thm)],[c_0_1196,c_0_1197]) ).

cnf(c_0_1211,plain,
    ( op2(e21,e20) = e22
    | op2(e21,e21) = e22
    | op2(e21,e22) = e22 ),
    inference(sr,[status(thm)],[c_0_1198,c_0_1008]) ).

cnf(c_0_1212,plain,
    ( op2(e20,e21) = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    i_0_81 ).

cnf(c_0_1213,plain,
    ( op2(e22,e22) = e23
    | op2(e21,e23) = e20 ),
    inference(spm,[status(thm)],[c_0_1199,c_0_1200]) ).

cnf(c_0_1214,plain,
    ( op1(op1(e10,e12),op1(e10,e12)) = e12
    | op1(op1(e11,e13),op1(e11,e13)) = e13
    | op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e10,e10) = e13 ),
    inference(spm,[status(thm)],[c_0_1201,c_0_1202]) ).

cnf(c_0_1215,plain,
    op1(e11,e11) != e13,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_881,c_0_1203]),c_0_901]) ).

cnf(c_0_1216,plain,
    ( op1(e13,e10) = e13
    | op1(e10,e12) != e13 ),
    inference(spm,[status(thm)],[c_0_1204,c_0_1205]) ).

cnf(c_0_1217,plain,
    ( op1(e10,e12) = e13
    | op1(e10,e11) = e13
    | op1(e10,e10) = e13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1206,c_0_844]),c_0_873]) ).

cnf(c_0_1218,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e20) = e21
    | op2(e23,e20) = e22 ),
    inference(spm,[status(thm)],[c_0_1207,c_0_1029]) ).

cnf(c_0_1219,plain,
    op2(e23,e22) != op2(e23,e21),
    i_0_147 ).

cnf(c_0_1220,plain,
    op2(e23,e23) != op2(e23,e22),
    i_0_145 ).

cnf(c_0_1221,plain,
    ( op2(e20,e22) = e23
    | op2(e20,e21) = e23
    | op2(e23,e22) = e23 ),
    inference(spm,[status(thm)],[c_0_1208,c_0_1209]) ).

cnf(c_0_1222,plain,
    ( op2(e21,e21) = e22
    | op2(e21,e22) = e22
    | op2(e23,e22) = e22 ),
    inference(spm,[status(thm)],[c_0_1210,c_0_1211]) ).

cnf(c_0_1223,plain,
    ( op2(e22,e21) = e23
    | op2(e21,e21) = e23
    | op2(e20,e21) = e23 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1212,c_0_875]),c_0_877]) ).

cnf(c_0_1224,plain,
    ( op2(op2(e22,e23),op2(e22,e23)) = e23
    | op2(e22,e22) = e23
    | op2(e20,e20) = e23 ),
    inference(spm,[status(thm)],[c_0_952,c_0_1213]) ).

cnf(c_0_1225,plain,
    ( op1(op1(e10,e12),op1(e10,e12)) = e12
    | op1(e10,e10) = e13
    | op1(e10,e11) = e13 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1214,c_0_1203]),c_0_1203]),c_0_829]),c_0_872]),c_0_1215]) ).

cnf(c_0_1226,plain,
    ( op1(e10,e11) = e13
    | op1(e10,e10) = e13
    | op1(e13,e10) = e13 ),
    inference(spm,[status(thm)],[c_0_1216,c_0_1217]) ).

cnf(c_0_1227,plain,
    ( op2(op2(e20,e23),op2(e20,e23)) = e23
    | op2(op2(e21,e20),op2(e21,e20)) = e20
    | op2(op2(e22,e23),op2(e22,e23)) = e23
    | ~ epred2_0 ),
    i_0_343 ).

cnf(c_0_1228,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e20) = e21
    | op2(e21,e20) != e23 ),
    inference(spm,[status(thm)],[c_0_1120,c_0_1029]) ).

cnf(c_0_1229,plain,
    ( op2(e21,e20) = e20
    | op2(e21,e20) = e21
    | op2(e21,e20) = e22
    | op2(e21,e20) = e23 ),
    i_0_60 ).

cnf(c_0_1230,plain,
    ( op2(e20,e20) = e21
    | op2(e20,e20) = e20
    | op2(e21,e20) != e22 ),
    inference(spm,[status(thm)],[c_0_1196,c_0_1218]) ).

cnf(c_0_1231,plain,
    op2(e21,e23) != op2(e21,e20),
    i_0_160 ).

cnf(c_0_1232,plain,
    ( op2(e20,e22) = e20
    | op2(e21,e22) = e20
    | op2(e22,e22) = e20
    | op2(e23,e22) = e20 ),
    i_0_79 ).

cnf(c_0_1233,plain,
    op2(e23,e22) != e20,
    inference(rw,[status(thm)],[c_0_1219,c_0_875]) ).

cnf(c_0_1234,plain,
    ( op2(e20,e22) = e21
    | op2(e21,e22) = e21
    | op2(e22,e22) = e21
    | op2(e23,e22) = e21 ),
    i_0_77 ).

cnf(c_0_1235,plain,
    op2(e23,e22) != e21,
    inference(rw,[status(thm)],[c_0_1220,c_0_860]) ).

cnf(c_0_1236,plain,
    ( op2(e21,e22) = e22
    | op2(e21,e21) = e22
    | op2(e20,e21) = e23
    | op2(e20,e22) = e23 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1221,c_0_1222]),c_0_934]) ).

cnf(c_0_1237,plain,
    ( op2(e22,e21) = e23
    | op2(e21,e21) = e23
    | op2(e20,e20) = e21
    | op2(e20,e20) = e20 ),
    inference(spm,[status(thm)],[c_0_1053,c_0_1223]) ).

cnf(c_0_1238,plain,
    ( op2(e20,e20) = e23
    | op2(e22,e22) = e23 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1224,c_0_1200]),c_0_860]),c_0_876]) ).

cnf(c_0_1239,plain,
    ( op2(e22,e22) = e23
    | op2(e22,e21) != e23 ),
    inference(spm,[status(thm)],[c_0_935,c_0_1200]) ).

cnf(c_0_1240,plain,
    op2(e20,e22) != op2(e20,e20),
    i_0_167 ).

cnf(c_0_1241,plain,
    ( op1(e11,e13) = e10
    | op1(e12,e12) != e10 ),
    inference(spm,[status(thm)],[c_0_887,c_0_995]) ).

cnf(c_0_1242,plain,
    ( op1(op1(e10,e13),op1(e10,e13)) = e13
    | op1(op1(e11,e13),op1(e11,e13)) = e13
    | op1(op1(e12,e10),op1(e12,e10)) = e10
    | ~ epred1_0 ),
    i_0_270 ).

cnf(c_0_1243,plain,
    ( op1(e10,e11) = e13
    | op1(e10,e10) = e13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1225,c_0_1217]),c_0_829]),c_0_855]) ).

cnf(c_0_1244,plain,
    ( op1(e10,e10) = e13
    | op1(e10,e11) = e13
    | op1(e12,e10) != e13 ),
    inference(spm,[status(thm)],[c_0_1122,c_0_1226]) ).

cnf(c_0_1245,plain,
    ( op2(op2(e22,e23),op2(e22,e23)) = e23
    | op2(op2(e21,e20),op2(e21,e20)) = e20
    | op2(e22,e22) = e23
    | ~ epred2_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1227,c_0_895]),c_0_895]) ).

cnf(c_0_1246,plain,
    ( op2(e21,e20) = e21
    | op2(e21,e20) = e20
    | op2(e20,e20) = e21
    | op2(e20,e20) = e20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1228,c_0_1229]),c_0_1230]) ).

cnf(c_0_1247,plain,
    ( op2(e22,e22) = e23
    | op2(e21,e20) != e20 ),
    inference(spm,[status(thm)],[c_0_1231,c_0_1213]) ).

cnf(c_0_1248,plain,
    ( op2(e23,e22) = e20
    | op2(e23,e22) = e21
    | op2(e23,e22) = e22
    | op2(e23,e22) = e23 ),
    i_0_50 ).

cnf(c_0_1249,plain,
    ( op2(e22,e22) = e20
    | op2(e21,e22) = e20
    | op2(e20,e22) = e20 ),
    inference(sr,[status(thm)],[c_0_1232,c_0_1233]) ).

cnf(c_0_1250,plain,
    ( op2(e22,e22) = e21
    | op2(e21,e22) = e21
    | op2(e20,e22) = e21 ),
    inference(sr,[status(thm)],[c_0_1234,c_0_1235]) ).

cnf(c_0_1251,plain,
    ( op2(e20,e22) = e23
    | op2(e21,e21) = e22
    | op2(e21,e22) = e22
    | op2(e21,e21) != e23 ),
    inference(spm,[status(thm)],[c_0_1097,c_0_1236]) ).

cnf(c_0_1252,plain,
    ( op2(e22,e22) = e23
    | op2(e21,e21) = e23 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1237,c_0_1238]),c_0_876]),c_0_877]),c_0_1239]) ).

cnf(c_0_1253,plain,
    ( op2(e22,e22) = e23
    | op2(e20,e22) != e23 ),
    inference(spm,[status(thm)],[c_0_1240,c_0_1238]) ).

cnf(c_0_1254,plain,
    ( op2(e22,e22) = e23
    | op2(e20,e22) = e20 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1000,c_0_1238]),c_0_877]) ).

cnf(c_0_1255,plain,
    ( op1(op1(e10,e12),op1(e10,e12)) = e12
    | op1(op1(e11,e13),op1(e11,e13)) = e13
    | op1(e12,e12) = e10
    | op1(e12,e10) = e10
    | op1(e10,e10) = e13 ),
    inference(spm,[status(thm)],[c_0_1201,c_0_880]) ).

cnf(c_0_1256,plain,
    op1(e12,e12) != e10,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1241,c_0_1203]),c_0_901]) ).

cnf(c_0_1257,plain,
    op1(e12,e10) != e10,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1018,c_0_1203]),c_0_901]) ).

cnf(c_0_1258,plain,
    ( op1(op1(e12,e10),op1(e12,e10)) = e10
    | op1(op1(e11,e13),op1(e11,e13)) = e13
    | op1(e12,e12) = e13
    | ~ epred1_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1242,c_0_844]),c_0_844]) ).

cnf(c_0_1259,plain,
    ( op1(e10,e11) = e13
    | op1(e13,e10) = e12 ),
    inference(spm,[status(thm)],[c_0_1100,c_0_1243]) ).

cnf(c_0_1260,plain,
    ( op1(e12,e10) = e12
    | op1(e12,e10) = e11
    | op1(e12,e10) = e10
    | op1(e10,e11) = e13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1244,c_0_1121]),c_0_1139]) ).

cnf(c_0_1261,plain,
    op2(e20,e23) != op2(e20,e22),
    i_0_163 ).

cnf(c_0_1262,plain,
    ( op2(op2(e22,e23),op2(e22,e23)) = e23
    | op2(op2(e21,e20),op2(e21,e20)) = e20
    | op2(e22,e22) = e23 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1245,c_0_932])]) ).

cnf(c_0_1263,plain,
    ( op2(e22,e22) = e23
    | op2(e21,e20) = e21 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1246,c_0_1238]),c_0_876]),c_0_877]),c_0_1247]) ).

cnf(c_0_1264,plain,
    op2(e23,e22) != op2(e22,e22),
    i_0_175 ).

cnf(c_0_1265,plain,
    ( op2(e23,e22) = e22
    | op2(e23,e22) = e23 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1248,c_0_1233]),c_0_1235]) ).

cnf(c_0_1266,plain,
    ( op2(e22,e22) = e21
    | op2(e21,e22) = e21
    | op2(e22,e22) = e20
    | op2(e21,e22) = e20 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1249,c_0_1250]),c_0_892]) ).

cnf(c_0_1267,plain,
    ( op2(e22,e22) = e23
    | op2(e21,e22) = e22 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1251,c_0_1252]),c_0_934]),c_0_1253]) ).

cnf(c_0_1268,plain,
    ( op2(e22,e22) = e23
    | op2(e22,e22) != e20 ),
    inference(spm,[status(thm)],[c_0_1152,c_0_1254]) ).

cnf(c_0_1269,plain,
    ( op1(op1(e10,e12),op1(e10,e12)) = e12
    | op1(e10,e10) = 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_1255,c_0_1203]),c_0_1203]),c_0_829]),c_0_872]),c_0_1256]),c_0_1257]) ).

cnf(c_0_1270,plain,
    ( op1(op1(e12,e10),op1(e12,e10)) = e10
    | op1(op1(e11,e13),op1(e11,e13)) = e13
    | op1(e12,e12) = e13 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1258,c_0_884])]) ).

cnf(c_0_1271,plain,
    ( op1(e10,e11) = e13
    | op1(e12,e10) != e12 ),
    inference(spm,[status(thm)],[c_0_1122,c_0_1259]) ).

cnf(c_0_1272,plain,
    ( op1(e10,e11) = e13
    | op1(e12,e10) = e11
    | op1(e12,e10) = e12 ),
    inference(sr,[status(thm)],[c_0_1260,c_0_1257]) ).

cnf(c_0_1273,plain,
    ( op1(op1(e10,e13),op1(e10,e13)) = e13
    | op1(op1(e11,e13),op1(e11,e13)) = e13
    | op1(op1(e12,e12),op1(e12,e12)) = e12
    | ~ epred1_0 ),
    i_0_268 ).

cnf(c_0_1274,plain,
    op2(e23,e22) != op2(e20,e22),
    i_0_178 ).

cnf(c_0_1275,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e22) = e21
    | op2(e20,e22) = e22
    | op2(e20,e22) = e23 ),
    i_0_62 ).

cnf(c_0_1276,plain,
    op2(e20,e22) != e22,
    inference(rw,[status(thm)],[c_0_1261,c_0_895]) ).

cnf(c_0_1277,plain,
    ( op2(op2(e22,e23),op2(e22,e23)) = e23
    | op2(e22,e22) = e23 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1262,c_0_1263]),c_0_959]) ).

cnf(c_0_1278,plain,
    ( op2(e23,e22) = e22
    | op2(e22,e22) != e23 ),
    inference(spm,[status(thm)],[c_0_1264,c_0_1265]) ).

cnf(c_0_1279,plain,
    ( op2(e22,e22) = e23
    | op2(e22,e22) = e21 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1266,c_0_1267]),c_0_913]),c_0_973]),c_0_1268]) ).

cnf(c_0_1280,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e10) = e13 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1269,c_0_1068]),c_0_900]) ).

cnf(c_0_1281,plain,
    ( op1(op1(e12,e10),op1(e12,e10)) = e10
    | op1(e12,e12) = e13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1270,c_0_1203]),c_0_1203]),c_0_829]),c_0_872]) ).

cnf(c_0_1282,plain,
    ( op1(e12,e10) = e11
    | op1(e10,e11) = e13 ),
    inference(spm,[status(thm)],[c_0_1271,c_0_1272]) ).

cnf(c_0_1283,plain,
    ( op1(e12,e13) = e10
    | op1(e12,e12) != e13 ),
    inference(spm,[status(thm)],[c_0_887,c_0_1177]) ).

cnf(c_0_1284,plain,
    ( op1(op1(e12,e12),op1(e12,e12)) = e12
    | op1(op1(e11,e13),op1(e11,e13)) = e13
    | op1(e12,e12) = e13
    | ~ epred1_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1273,c_0_844]),c_0_844]) ).

cnf(c_0_1285,plain,
    ( op2(e23,e22) = e22
    | op2(e20,e22) != e23 ),
    inference(spm,[status(thm)],[c_0_1274,c_0_1265]) ).

cnf(c_0_1286,plain,
    ( op2(e20,e22) = e23
    | op2(e20,e22) = e20
    | op2(e20,e22) = e21 ),
    inference(sr,[status(thm)],[c_0_1275,c_0_1276]) ).

cnf(c_0_1287,plain,
    op2(e22,e23) != op2(e22,e22),
    i_0_151 ).

cnf(c_0_1288,plain,
    op2(e22,e22) = e23,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1277,c_0_1200]),c_0_860]),c_0_876]) ).

cnf(c_0_1289,plain,
    op2(e23,e22) != op2(e21,e22),
    i_0_176 ).

cnf(c_0_1290,plain,
    ( op2(e22,e22) = e21
    | op2(e23,e22) = e22 ),
    inference(spm,[status(thm)],[c_0_1278,c_0_1279]) ).

cnf(c_0_1291,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e11) = e11 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1102,c_0_1280]),c_0_872]),c_0_901]) ).

cnf(c_0_1292,plain,
    ( op1(e10,e11) = e13
    | op1(e12,e12) = e13 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1281,c_0_1282]),c_0_866]) ).

cnf(c_0_1293,plain,
    ( op1(e12,e11) = e13
    | op1(e10,e11) = e13 ),
    inference(sr,[status(thm)],[c_0_1189,c_0_1215]) ).

cnf(c_0_1294,plain,
    ( op1(op1(e11,e13),op1(e11,e13)) = e13
    | op1(e12,e13) = e10 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1058,c_0_1177]),c_0_829]),c_0_872]),c_0_1283]) ).

cnf(c_0_1295,plain,
    ( op1(op1(e12,e12),op1(e12,e12)) = e12
    | op1(op1(e11,e13),op1(e11,e13)) = e13
    | op1(e12,e12) = e13 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1284,c_0_884])]) ).

cnf(c_0_1296,plain,
    ( op1(e12,e11) = e10
    | op1(e12,e11) = e11
    | op1(e12,e11) = e12
    | op1(e12,e11) = e13 ),
    i_0_7 ).

cnf(c_0_1297,plain,
    ( op2(e20,e20) = e22
    | op2(e21,e20) = e22
    | op2(e22,e20) = e22
    | op2(e23,e20) = e22 ),
    i_0_91 ).

cnf(c_0_1298,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e22) = e21
    | op2(e23,e22) = e22 ),
    inference(spm,[status(thm)],[c_0_1285,c_0_1286]) ).

cnf(c_0_1299,plain,
    ( op2(op2(e20,e22),op2(e20,e22)) = e22
    | op2(op2(e21,e21),op2(e21,e21)) = e21
    | op2(op2(e22,e23),op2(e22,e23)) = e23
    | ~ epred2_0 ),
    i_0_355 ).

cnf(c_0_1300,plain,
    ( op2(e22,e23) = e20
    | op2(e22,e22) != e23 ),
    inference(spm,[status(thm)],[c_0_1287,c_0_936]) ).

cnf(c_0_1301,plain,
    op2(e23,e22) != e23,
    inference(rw,[status(thm)],[c_0_1264,c_0_1288]) ).

cnf(c_0_1302,plain,
    ( op2(e22,e22) = e21
    | op2(e21,e22) != e22 ),
    inference(spm,[status(thm)],[c_0_1289,c_0_1290]) ).

cnf(c_0_1303,plain,
    ( op1(op1(e10,e12),op1(e10,e12)) = e12
    | op1(op1(e11,e13),op1(e11,e13)) = e13
    | op1(op1(e12,e12),op1(e12,e12)) = e12
    | ~ epred1_0 ),
    i_0_284 ).

cnf(c_0_1304,plain,
    ( op1(e10,e11) = e11
    | op1(e10,e12) = e11 ),
    inference(spm,[status(thm)],[c_0_1157,c_0_1291]) ).

cnf(c_0_1305,plain,
    op1(e10,e11) = e13,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_922,c_0_1292]),c_0_1293]) ).

cnf(c_0_1306,plain,
    op1(e12,e13) = e10,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1294,c_0_1203]),c_0_1203]),c_0_829]),c_0_872]) ).

cnf(c_0_1307,plain,
    ( op1(op1(e11,e13),op1(e11,e13)) = e13
    | op1(e10,e12) = e10
    | op1(e11,e12) = e10 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1295,c_0_899]),c_0_900]),c_0_901]) ).

cnf(c_0_1308,plain,
    op1(e12,e11) != op1(e10,e11),
    i_0_137 ).

cnf(c_0_1309,plain,
    ( op1(e12,e11) = e12
    | op1(e12,e11) = e11
    | op1(e12,e11) = e13 ),
    inference(sr,[status(thm)],[c_0_1296,c_0_862]) ).

cnf(c_0_1310,plain,
    op1(e12,e12) != op1(e13,e12),
    i_0_127 ).

cnf(c_0_1311,plain,
    ( op2(e23,e20) = e22
    | op2(e21,e20) = e22
    | op2(e22,e20) = e22 ),
    inference(sr,[status(thm)],[c_0_1297,c_0_1006]) ).

cnf(c_0_1312,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e22) = e21
    | op2(e22,e22) != e23 ),
    inference(spm,[status(thm)],[c_0_1152,c_0_1286]) ).

cnf(c_0_1313,plain,
    ( op2(e22,e22) = e20
    | op2(e22,e22) = e21
    | op2(e22,e22) = e22
    | op2(e22,e22) = e23 ),
    i_0_54 ).

cnf(c_0_1314,plain,
    ( op2(e20,e22) = e21
    | op2(e20,e22) = e20
    | op2(e22,e22) != e22 ),
    inference(spm,[status(thm)],[c_0_1264,c_0_1298]) ).

cnf(c_0_1315,plain,
    ( op2(op2(e22,e23),op2(e22,e23)) = e23
    | op2(op2(e21,e21),op2(e21,e21)) = e21
    | op2(op2(e20,e22),op2(e20,e22)) = e22 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1299,c_0_932])]) ).

cnf(c_0_1316,plain,
    ( op2(e22,e22) = e21
    | op2(e22,e23) = e20 ),
    inference(spm,[status(thm)],[c_0_1300,c_0_1279]) ).

cnf(c_0_1317,plain,
    op2(e23,e20) = e23,
    inference(sr,[status(thm)],[c_0_891,c_0_1301]) ).

cnf(c_0_1318,plain,
    op2(e22,e23) != e23,
    inference(rw,[status(thm)],[c_0_1287,c_0_1288]) ).

cnf(c_0_1319,plain,
    op2(e21,e22) != e22,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1302,c_0_1288]),c_0_876]) ).

cnf(c_0_1320,plain,
    op2(e23,op2(e23,e23)) = h4(e10),
    i_0_249 ).

cnf(c_0_1321,plain,
    op2(op2(e23,op2(e23,e23)),e23) = h4(e12),
    i_0_247 ).

cnf(c_0_1322,negated_conjecture,
    ( h4(e13) != e23
    | ~ epred6_0 ),
    i_0_251 ).

cnf(c_0_1323,plain,
    h4(e13) = e23,
    i_0_250 ).

cnf(c_0_1324,plain,
    ( op1(op1(e12,e12),op1(e12,e12)) = e12
    | op1(op1(e11,e13),op1(e11,e13)) = e13
    | op1(op1(e10,e12),op1(e10,e12)) = e12 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1303,c_0_884])]) ).

cnf(c_0_1325,plain,
    op1(e10,e12) = e11,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1304,c_0_1305]),c_0_872]) ).

cnf(c_0_1326,plain,
    ( op1(e12,e12) = e13
    | op1(e10,e10) = e13 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1058,c_0_1203]),c_0_1203]),c_0_829]),c_0_872]),c_0_1306]),c_0_1306]) ).

cnf(c_0_1327,plain,
    op1(e10,e10) = e10,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1291,c_0_1305]),c_0_872]) ).

cnf(c_0_1328,plain,
    ( op1(e11,e12) = e10
    | op1(e10,e12) = e10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1307,c_0_1203]),c_0_1203]),c_0_829]),c_0_872]) ).

cnf(c_0_1329,plain,
    ( op1(e12,e11) = e12
    | op1(e12,e11) = e11
    | op1(e10,e11) != e13 ),
    inference(spm,[status(thm)],[c_0_1308,c_0_1309]) ).

cnf(c_0_1330,plain,
    ( op1(e13,e12) = e12
    | op1(e12,e12) != e13 ),
    inference(spm,[status(thm)],[c_0_1310,c_0_854]) ).

cnf(c_0_1331,plain,
    ( op2(e21,e20) = e22
    | op2(e22,e20) = e22
    | op2(e23,e22) = e23 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_891,c_0_1311]),c_0_934]) ).

cnf(c_0_1332,plain,
    ( op2(e22,e22) = e21
    | op2(e22,e22) = e20
    | op2(e20,e22) = e21
    | op2(e20,e22) = e20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1312,c_0_1313]),c_0_1314]) ).

cnf(c_0_1333,plain,
    ( op2(op2(e21,e21),op2(e21,e21)) = e21
    | op2(op2(e22,e23),op2(e22,e23)) = e23
    | op2(e22,e22) = e20
    | op2(e21,e22) = e20 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1315,c_0_1249]),c_0_1006]) ).

cnf(c_0_1334,plain,
    op2(e22,e23) = e20,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1316,c_0_1288]),c_0_876]) ).

cnf(c_0_1335,plain,
    op2(e20,e20) != e23,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1207,c_0_1317]),c_0_934]) ).

cnf(c_0_1336,plain,
    ( op2(e21,e20) = e20
    | op2(e21,e22) = e20 ),
    inference(sr,[status(thm)],[c_0_1004,c_0_1318]) ).

cnf(c_0_1337,plain,
    ( op2(e21,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(sr,[status(thm)],[c_0_1211,c_0_1319]) ).

cnf(c_0_1338,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    i_0_85 ).

cnf(c_0_1339,plain,
    ( epred6_0
    | h4(e10) != e20
    | h4(e11) != e21
    | h4(e12) != e22
    | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
    | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
    | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
    | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
    | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
    | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
    | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
    | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
    | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
    | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
    | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
    | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
    | h4(op1(e13,e13)) != op2(h4(e13),h4(e13)) ),
    i_0_644 ).

cnf(c_0_1340,plain,
    h4(e10) = e20,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1320,c_0_860]),c_0_875]) ).

cnf(c_0_1341,plain,
    h4(e12) = e22,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1321,c_0_860]),c_0_875]),c_0_895]) ).

cnf(c_0_1342,negated_conjecture,
    ~ epred6_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1322,c_0_1323])]) ).

cnf(c_0_1343,plain,
    op2(e23,e23) = h4(e11),
    i_0_248 ).

cnf(c_0_1344,plain,
    op1(e11,e10) != op1(e11,e11),
    i_0_114 ).

cnf(c_0_1345,plain,
    ( op1(op1(e12,e12),op1(e12,e12)) = e12
    | op1(e11,e11) = e12 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1324,c_0_1203]),c_0_1203]),c_0_829]),c_0_872]),c_0_1325]),c_0_1325]) ).

cnf(c_0_1346,plain,
    op1(e12,e12) = e13,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1326,c_0_1327]),c_0_901]) ).

cnf(c_0_1347,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e10) != e10 ),
    inference(spm,[status(thm)],[c_0_1159,c_0_1291]) ).

cnf(c_0_1348,plain,
    ( op1(e11,e12) = e10
    | op1(e10,e10) = e13 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1269,c_0_1328]),c_0_900]) ).

cnf(c_0_1349,plain,
    ( op1(e10,e11) = e11
    | op1(e12,e11) = e11
    | op1(e12,e11) = e12 ),
    inference(spm,[status(thm)],[c_0_1329,c_0_1129]) ).

cnf(c_0_1350,plain,
    ( op1(e13,e10) = e13
    | op1(e12,e12) != e13 ),
    inference(spm,[status(thm)],[c_0_1310,c_0_1205]) ).

cnf(c_0_1351,plain,
    ( op2(e20,e23) = e20
    | op2(e21,e23) = e20
    | op2(e22,e23) = e20
    | op2(e23,e23) = e20 ),
    i_0_71 ).

cnf(c_0_1352,plain,
    ( op1(e10,e10) = e13
    | op1(e13,e12) = e12 ),
    inference(spm,[status(thm)],[c_0_1330,c_0_1326]) ).

cnf(c_0_1353,plain,
    ( op2(e22,e20) = e22
    | op2(e21,e20) = e22
    | op2(e22,e22) != e23 ),
    inference(spm,[status(thm)],[c_0_1264,c_0_1331]) ).

cnf(c_0_1354,plain,
    ( op2(op2(e20,e22),op2(e20,e22)) = e22
    | op2(op2(e21,e22),op2(e21,e22)) = e22
    | op2(op2(e22,e23),op2(e22,e23)) = e23
    | ~ epred2_0 ),
    i_0_351 ).

cnf(c_0_1355,plain,
    ( op2(e20,e22) = e21
    | op2(e22,e22) = e20
    | op2(e22,e22) = e21
    | op2(e21,e22) != e20 ),
    inference(spm,[status(thm)],[c_0_1025,c_0_1332]) ).

cnf(c_0_1356,plain,
    ( op2(op2(e21,e21),op2(e21,e21)) = e21
    | op2(e21,e22) = e20 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1333,c_0_1288]),c_0_877]),c_0_1334]),c_0_1334]),c_0_1335]) ).

cnf(c_0_1357,plain,
    ( op2(e21,e21) = e22
    | op2(e21,e22) = e20 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1336,c_0_1337]),c_0_973]) ).

cnf(c_0_1358,plain,
    ( op2(e22,e21) = e21
    | op2(e21,e21) = e21
    | op2(e20,e21) = e21 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1338,c_0_875]),c_0_892]) ).

cnf(c_0_1359,plain,
    ( op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
    | h4(op1(e10,e11)) != op2(e20,h4(e11))
    | h4(op1(e11,e13)) != op2(h4(e11),e23)
    | h4(op1(e11,e10)) != op2(h4(e11),e20)
    | h4(op1(e11,e12)) != op2(h4(e11),e22)
    | h4(op1(e12,e11)) != op2(e22,h4(e11))
    | h4(op1(e13,e10)) != op2(e23,e20)
    | h4(op1(e13,e12)) != op2(e23,e22)
    | h4(op1(e10,e10)) != op2(e20,e20)
    | h4(op1(e10,e12)) != op2(e20,e22)
    | h4(op1(e12,e13)) != op2(e22,e23)
    | h4(op1(e12,e10)) != op2(e22,e20)
    | h4(op1(e12,e12)) != op2(e22,e22)
    | op2(e23,h4(e11)) != e20
    | h4(e11) != e21
    | h4(e11) != e21 ),
    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)],[c_0_1339,c_0_1340]),c_0_1341]),c_0_1323]),c_0_1323]),c_0_860]),c_0_829]),c_0_1323]),c_0_1340]),c_0_1323]),c_0_834]),c_0_1340]),c_0_1323]),c_0_1341]),c_0_1340]),c_0_1323]),c_0_895]),c_0_844]),c_0_1341]),c_0_1340]),c_0_1340]),c_0_1340]),c_0_1340]),c_0_1341]),c_0_1323]),c_0_1340]),c_0_1341]),c_0_1341]),c_0_1323]),c_0_1341]),c_0_1340]),c_0_1341]),c_0_1341]),c_0_1341])]),c_0_1342]) ).

cnf(c_0_1360,plain,
    h4(e11) = e21,
    inference(rw,[status(thm)],[c_0_1343,c_0_860]) ).

cnf(c_0_1361,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e10) = e10
    | op1(e11,e11) != e12 ),
    inference(spm,[status(thm)],[c_0_1344,c_0_1108]) ).

cnf(c_0_1362,plain,
    op1(e11,e11) = e12,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1345,c_0_1346]),c_0_1346]),c_0_829]),c_0_855]) ).

cnf(c_0_1363,plain,
    op1(e11,e10) != e10,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1347,c_0_1305]),c_0_872]) ).

cnf(c_0_1364,plain,
    ( op1(e11,e12) = e10
    | op1(e10,e11) != e13 ),
    inference(spm,[status(thm)],[c_0_987,c_0_1348]) ).

cnf(c_0_1365,plain,
    ( op1(e12,e11) = e11
    | op1(e10,e11) = e11
    | op1(e11,e11) != e12 ),
    inference(spm,[status(thm)],[c_0_1113,c_0_1349]) ).

cnf(c_0_1366,plain,
    ( op1(e10,e10) = e13
    | op1(e13,e10) = e13 ),
    inference(spm,[status(thm)],[c_0_1350,c_0_1326]) ).

cnf(c_0_1367,plain,
    op2(e21,e23) != op2(e21,e22),
    i_0_157 ).

cnf(c_0_1368,plain,
    ( op2(e22,e23) = e20
    | op2(e21,e23) = e20 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1351,c_0_860]),c_0_895]),c_0_892]),c_0_973]) ).

cnf(c_0_1369,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12
    | op1(e13,e10) = e12 ),
    i_0_43 ).

cnf(c_0_1370,plain,
    ( op1(e10,e10) = e13
    | op1(e13,e10) != e12 ),
    inference(spm,[status(thm)],[c_0_868,c_0_1352]) ).

cnf(c_0_1371,plain,
    op2(e21,e21) != op2(e21,e20),
    i_0_162 ).

cnf(c_0_1372,plain,
    ( op2(e22,e22) = e22
    | op2(e22,e22) = e21
    | op2(e22,e22) = e20
    | op2(e21,e20) = e22
    | op2(e22,e20) = e22 ),
    inference(spm,[status(thm)],[c_0_1353,c_0_1313]) ).

cnf(c_0_1373,plain,
    ( op2(op2(e22,e23),op2(e22,e23)) = e23
    | op2(op2(e21,e22),op2(e21,e22)) = e22
    | op2(op2(e20,e22),op2(e20,e22)) = e22 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1354,c_0_932])]) ).

cnf(c_0_1374,plain,
    op2(op2(e20,op2(e20,e20)),e20) = h1(e12),
    i_0_235 ).

cnf(c_0_1375,plain,
    ( op2(e20,e22) = e23
    | op2(e20,e21) = e23
    | op2(e23,e20) = e22 ),
    inference(spm,[status(thm)],[c_0_1207,c_0_1209]) ).

cnf(c_0_1376,plain,
    op2(e20,e22) != e23,
    inference(rw,[status(thm)],[c_0_1152,c_0_1288]) ).

cnf(c_0_1377,plain,
    ( op2(e20,e22) = e21
    | op2(e21,e22) != e20 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1355,c_0_1288]),c_0_1288]),c_0_877]),c_0_876]) ).

cnf(c_0_1378,plain,
    op2(e21,e22) = e20,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1356,c_0_1357]),c_0_1288]),c_0_876]) ).

cnf(c_0_1379,plain,
    ( op2(e22,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e23
    | op2(e21,e21) = e23 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1223,c_0_1358]),c_0_876]) ).

cnf(c_0_1380,plain,
    ( h4(op1(e11,e11)) != op2(e21,e21)
    | h4(op1(e10,e11)) != op2(e20,e21)
    | h4(op1(e11,e13)) != op2(e21,e23)
    | h4(op1(e11,e10)) != op2(e21,e20)
    | h4(op1(e11,e12)) != op2(e21,e22)
    | h4(op1(e12,e11)) != op2(e22,e21)
    | h4(op1(e13,e10)) != op2(e23,e20)
    | h4(op1(e13,e12)) != op2(e23,e22)
    | h4(op1(e10,e10)) != op2(e20,e20)
    | h4(op1(e10,e12)) != op2(e20,e22)
    | h4(op1(e12,e13)) != op2(e22,e23)
    | h4(op1(e12,e10)) != op2(e22,e20)
    | h4(op1(e12,e12)) != op2(e22,e22) ),
    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)],[c_0_1359,c_0_1360]),c_0_1360]),c_0_1360]),c_0_1360]),c_0_1360]),c_0_1360]),c_0_1360]),c_0_1360]),c_0_875]),c_0_1360]),c_0_1360])]) ).

cnf(c_0_1381,plain,
    op1(e11,e10) = e11,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1361,c_0_1362])]),c_0_1363]) ).

cnf(c_0_1382,plain,
    op1(e11,e12) = e10,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1364,c_0_1305])]) ).

cnf(c_0_1383,plain,
    op1(e12,e11) = e11,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1365,c_0_1305]),c_0_872]),c_0_1362])]) ).

cnf(c_0_1384,plain,
    op1(e13,e10) = e13,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1366,c_0_1327]),c_0_901]) ).

cnf(c_0_1385,plain,
    op1(e13,e12) = e12,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1352,c_0_1327]),c_0_901]) ).

cnf(c_0_1386,plain,
    ( op2(e22,e23) = e20
    | op2(e21,e22) != e20 ),
    inference(spm,[status(thm)],[c_0_1367,c_0_1368]) ).

cnf(c_0_1387,plain,
    ( op1(e13,e10) = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12 ),
    inference(sr,[status(thm)],[c_0_1369,c_0_900]) ).

cnf(c_0_1388,plain,
    op1(e13,e10) != e12,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1370,c_0_1327]),c_0_901]) ).

cnf(c_0_1389,plain,
    ( op2(e22,e20) = e22
    | op2(e22,e22) = e20
    | op2(e22,e22) = e21
    | op2(e22,e22) = e22
    | op2(e21,e21) != e22 ),
    inference(spm,[status(thm)],[c_0_1371,c_0_1372]) ).

cnf(c_0_1390,plain,
    ( op2(op2(e21,e22),op2(e21,e22)) = e22
    | op2(op2(e22,e23),op2(e22,e23)) = e23
    | op2(e22,e22) = e21
    | op2(e21,e22) = e21
    | op2(e21,e21) = e22 ),
    inference(spm,[status(thm)],[c_0_1373,c_0_1250]) ).

cnf(c_0_1391,plain,
    ( h1(e12) = op2(op2(e20,e20),e20)
    | op2(e20,e20) = e21
    | op2(e20,e21) = e21 ),
    inference(spm,[status(thm)],[c_0_1374,c_0_1074]) ).

cnf(c_0_1392,plain,
    op2(e20,e21) = e23,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_1375,c_0_1376]),c_0_1317]),c_0_934]) ).

cnf(c_0_1393,plain,
    op2(e20,e22) = e21,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1377,c_0_1378])]) ).

cnf(c_0_1394,plain,
    ( op2(e22,e21) = e23
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e21,e23) = e20 ),
    inference(spm,[status(thm)],[c_0_1055,c_0_1379]) ).

cnf(c_0_1395,plain,
    ( h4(op1(e12,e10)) != op2(e22,e20)
    | op2(e21,e21) != e22
    | op2(e20,e21) != e23
    | op2(e21,e23) != e23
    | op2(e21,e20) != e21
    | op2(e21,e22) != e20
    | op2(e22,e21) != e21
    | op2(e23,e20) != e23
    | op2(e20,e20) != e20
    | op2(e20,e22) != e21
    | op2(e22,e22) != e23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_1380,c_0_1203]),c_0_1323]),c_0_1362]),c_0_1341]),c_0_1305]),c_0_1323]),c_0_1381]),c_0_1360]),c_0_1382]),c_0_1340]),c_0_1383]),c_0_1360]),c_0_1384]),c_0_1323]),c_0_1385]),c_0_1341]),c_0_1327]),c_0_1340]),c_0_1325]),c_0_1360]),c_0_1306]),c_0_1340]),c_0_1346]),c_0_1323]),c_0_1386]),c_0_1278]) ).

cnf(c_0_1396,plain,
    op1(e12,e10) = e12,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_1387,c_0_1388]),c_0_1381]),c_0_855]) ).

cnf(c_0_1397,plain,
    ( h1(e12) = op2(op2(e20,e21),e20)
    | op2(e22,e20) = e21
    | op2(e21,e20) = e21 ),
    inference(spm,[status(thm)],[c_0_1374,c_0_998]) ).

cnf(c_0_1398,plain,
    ( op2(e22,e20) = e22
    | op2(e21,e21) != e22 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1389,c_0_1288]),c_0_1288]),c_0_1288]),c_0_877]),c_0_876]),c_0_934]) ).

cnf(c_0_1399,plain,
    op2(e21,e21) = e22,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1390,c_0_1288]),c_0_876]),c_0_1378]),c_0_1378]),c_0_1334]),c_0_1334]),c_0_1378]),c_0_1006]),c_0_1335]),c_0_892]) ).

cnf(c_0_1400,plain,
    ( h1(e12) = op2(op2(e20,e20),e20)
    | op2(e20,e20) = e21 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1391,c_0_1392]),c_0_876]) ).

cnf(c_0_1401,plain,
    op2(e20,e20) = e20,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1000,c_0_1393]),c_0_892]) ).

cnf(c_0_1402,plain,
    ( op2(e22,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e23
    | op2(e22,e23) != e20 ),
    inference(spm,[status(thm)],[c_0_1076,c_0_1394]) ).

cnf(c_0_1403,plain,
    op2(e22,e21) != e23,
    inference(rw,[status(thm)],[c_0_956,c_0_1288]) ).

cnf(c_0_1404,plain,
    ( op2(e22,e20) != e22
    | op2(e21,e21) != e22
    | op2(e20,e21) != e23
    | op2(e21,e23) != e23
    | op2(e21,e20) != e21
    | op2(e21,e22) != e20
    | op2(e22,e21) != e21
    | op2(e23,e20) != e23
    | op2(e20,e20) != e20
    | op2(e20,e22) != e21
    | op2(e22,e22) != e23 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1395,c_0_1396]),c_0_1341]) ).

cnf(c_0_1405,plain,
    op2(e21,e23) = e23,
    inference(sr,[status(thm)],[c_0_953,c_0_1318]) ).

cnf(c_0_1406,plain,
    ( op2(e21,e20) = e21
    | op2(e22,e20) = e21
    | h1(e12) = e23 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1397,c_0_1392]),c_0_1317]) ).

cnf(c_0_1407,plain,
    op2(e22,e20) = e22,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1398,c_0_1399])]) ).

cnf(c_0_1408,plain,
    h1(e12) = e20,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1400,c_0_1401]),c_0_1401]),c_0_1401]),c_0_892]) ).

cnf(c_0_1409,plain,
    ( op2(e21,e21) = e21
    | op2(e22,e21) = e21 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1402,c_0_1334])]),c_0_1403]) ).

cnf(c_0_1410,plain,
    ( op2(e22,e20) != e22
    | op2(e21,e21) != e22
    | op2(e20,e21) != e23
    | op2(e21,e20) != e21
    | op2(e21,e22) != e20
    | op2(e22,e21) != e21
    | op2(e20,e20) != e20
    | op2(e20,e22) != e21 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1404,c_0_1288])]),c_0_1405]),c_0_1317])]) ).

cnf(c_0_1411,plain,
    op2(e21,e20) = e21,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1406,c_0_1407]),c_0_913]),c_0_1408]),c_0_877]) ).

cnf(c_0_1412,plain,
    op2(e22,e21) = e21,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1409,c_0_1399]),c_0_913]) ).

cnf(c_0_1413,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(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1410,c_0_1392])]),c_0_1407]),c_0_1399]),c_0_1411]),c_0_1378]),c_0_1412]),c_0_1401]),c_0_1393])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ALG116+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun  8 07:21:51 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.20/0.40  # ENIGMATIC: Selected complete mode:
% 12.26/2.95  # ENIGMATIC: Solved by autoschedule-lgb:
% 12.26/2.95  # No SInE strategy applied
% 12.26/2.95  # Trying AutoSched0 for 150 seconds
% 12.26/2.95  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 12.26/2.95  # and selection function SelectNewComplexAHP.
% 12.26/2.95  #
% 12.26/2.95  # Preprocessing time       : 0.038 s
% 12.26/2.95  # Presaturation interreduction done
% 12.26/2.95  
% 12.26/2.95  # Proof found!
% 12.26/2.95  # SZS status Theorem
% 12.26/2.95  # SZS output start CNFRefutation
% See solution above
% 12.26/2.95  # Training examples: 0 positive, 0 negative
% 12.26/2.95  
% 12.26/2.95  # -------------------------------------------------
% 12.26/2.95  # User time                : 0.655 s
% 12.26/2.95  # System time              : 0.016 s
% 12.26/2.95  # Total time               : 0.671 s
% 12.26/2.95  # Maximum resident set size: 7124 pages
% 12.26/2.95  
%------------------------------------------------------------------------------