TSTP Solution File: ALG112+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG112+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n021.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 15:00:18 EDT 2022

% Result   : Theorem 10.94s 3.06s
% Output   : CNFRefutation 10.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :  138
% Syntax   : Number of clauses     :  508 ( 227 unt; 270 nHn; 508 RR)
%            Number of literals    : 1222 (1150 equ; 305 neg)
%            Maximal clause size   :   20 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   4 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_231,plain,
    op1(op1(e11,e11),e11) = e10,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_231) ).

cnf(i_0_230,plain,
    op1(e11,e11) = e12,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_230) ).

cnf(i_0_229,plain,
    op1(e11,op1(op1(e11,e11),e11)) = e13,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_229) ).

cnf(i_0_137,plain,
    op1(e10,e11) != op1(e12,e11),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_137) ).

cnf(i_0_138,plain,
    op1(e10,e11) != op1(e11,e11),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_138) ).

cnf(i_0_40,plain,
    ( op1(e11,e10) = e10
    | op1(e11,e11) = e10
    | op1(e11,e12) = e10
    | op1(e11,e13) = e10 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_40) ).

cnf(i_0_197,plain,
    e10 != e12,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_197) ).

cnf(i_0_196,plain,
    e13 != e10,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_196) ).

cnf(i_0_48,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e11) = e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_48) ).

cnf(i_0_44,plain,
    ( op1(e10,e10) = e12
    | op1(e10,e11) = e12
    | op1(e10,e12) = e12
    | op1(e10,e13) = e12 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_44) ).

cnf(i_0_105,plain,
    op1(e12,e12) != op1(e12,e11),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_105) ).

cnf(i_0_223,plain,
    ( op1(op1(e11,e13),op1(e11,e13)) = e11
    | epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_223) ).

cnf(i_0_224,plain,
    ( op1(op1(e10,e13),op1(e10,e13)) = e10
    | epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_224) ).

cnf(i_0_234,plain,
    op2(op2(e21,e21),e21) = e20,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_234) ).

cnf(i_0_233,plain,
    op2(e21,e21) = e22,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_233) ).

cnf(i_0_38,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e11) = e11
    | op1(e11,e12) = e11
    | op1(e11,e13) = e11 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_38) ).

cnf(i_0_195,plain,
    e12 != e11,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_195) ).

cnf(i_0_194,plain,
    e13 != e11,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_194) ).

cnf(i_0_198,plain,
    e10 != e11,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_198) ).

cnf(i_0_152,plain,
    op2(e22,e23) != op2(e22,e21),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_152) ).

cnf(i_0_232,plain,
    op2(e21,op2(op2(e21,e21),e21)) = e23,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_232) ).

cnf(i_0_71,plain,
    ( op2(e20,e23) = e20
    | op2(e21,e23) = e20
    | op2(e22,e23) = e20
    | op2(e23,e23) = e20 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_71) ).

cnf(i_0_192,plain,
    op2(e21,e20) != op2(e20,e20),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_192) ).

cnf(i_0_307,plain,
    ( op1(op1(e11,e10),op1(e11,e10)) = e11
    | op1(op1(e11,e11),op1(e11,e11)) = e11
    | op1(op1(e13,e12),op1(e13,e12)) = e13
    | ~ epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_307) ).

cnf(i_0_225,plain,
    ( op2(op2(e23,e23),op2(e23,e23)) = e23
    | epred2_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_225) ).

cnf(i_0_185,plain,
    op2(e22,e21) != op2(e20,e21),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_185) ).

cnf(i_0_166,plain,
    op2(e20,e23) != op2(e20,e20),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_166) ).

cnf(i_0_186,plain,
    op2(e21,e21) != op2(e20,e21),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_186) ).

cnf(i_0_310,plain,
    ( op1(op1(e10,e12),op1(e10,e12)) = e10
    | op1(op1(e11,e10),op1(e11,e10)) = e11
    | op1(op1(e11,e11),op1(e11,e11)) = e11
    | ~ epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_310) ).

cnf(i_0_29,plain,
    ( op1(e10,e12) = e11
    | op1(e11,e12) = e11
    | op1(e12,e12) = e11
    | op1(e13,e12) = e11 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_29) ).

cnf(i_0_193,plain,
    e13 != e12,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_193) ).

cnf(i_0_96,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_96) ).

cnf(i_0_228,plain,
    ( op2(op2(e20,e23),op2(e20,e23)) = e20
    | epred2_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_228) ).

cnf(i_0_92,plain,
    ( op2(e20,e20) = e22
    | op2(e20,e21) = e22
    | op2(e20,e22) = e22
    | op2(e20,e23) = e22 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_92) ).

cnf(i_0_153,plain,
    op2(e22,e22) != op2(e22,e21),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_153) ).

cnf(i_0_111,plain,
    op1(e11,e12) != op1(e11,e11),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_111) ).

cnf(i_0_108,plain,
    op1(e12,e10) != op1(e12,e11),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_108) ).

cnf(i_0_122,plain,
    op1(e13,e13) != op1(e11,e13),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_122) ).

cnf(i_0_22,plain,
    ( op1(e13,e10) = e11
    | op1(e13,e11) = e11
    | op1(e13,e12) = e11
    | op1(e13,e13) = e11 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_22) ).

cnf(i_0_227,plain,
    ( op2(op2(e21,e23),op2(e21,e23)) = e21
    | epred2_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_227) ).

cnf(i_0_188,plain,
    op2(e23,e20) != op2(e21,e20),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_188) ).

cnf(i_0_305,plain,
    ( op1(op1(e11,e10),op1(e11,e10)) = e11
    | op1(op1(e11,e12),op1(e11,e12)) = e11
    | op1(op1(e12,e11),op1(e12,e11)) = e12
    | ~ epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_305) ).

cnf(i_0_10,plain,
    ( op1(e11,e12) = e10
    | op1(e11,e12) = e11
    | op1(e11,e12) = e12
    | op1(e11,e12) = e13 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_10) ).

cnf(i_0_113,plain,
    op1(e11,e10) != op1(e11,e12),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_113) ).

cnf(i_0_47,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e10) = e10
    | op1(e12,e10) = e10
    | op1(e13,e10) = e10 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_47) ).

cnf(i_0_204,plain,
    e21 != e20,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_204) ).

cnf(i_0_201,plain,
    e22 != e21,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_201) ).

cnf(i_0_66,plain,
    ( op2(e23,e20) = e23
    | op2(e23,e21) = e23
    | op2(e23,e22) = e23
    | op2(e23,e23) = e23 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_66) ).

cnf(i_0_74,plain,
    ( op2(e22,e20) = e23
    | op2(e22,e21) = e23
    | op2(e22,e22) = e23
    | op2(e22,e23) = e23 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_74) ).

cnf(i_0_202,plain,
    e23 != e20,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_202) ).

cnf(i_0_189,plain,
    op2(e22,e20) != op2(e21,e20),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_189) ).

cnf(i_0_43,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12
    | op1(e13,e10) = e12 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_43) ).

cnf(i_0_126,plain,
    op1(e10,e13) != op1(e11,e13),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_126) ).

cnf(i_0_46,plain,
    ( op1(e10,e10) = e11
    | op1(e10,e11) = e11
    | op1(e10,e12) = e11
    | op1(e10,e13) = e11 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_46) ).

cnf(i_0_367,plain,
    ( op2(op2(e21,e20),op2(e21,e20)) = e21
    | op2(op2(e22,e21),op2(e22,e21)) = e22
    | op2(op2(e23,e22),op2(e23,e22)) = e23
    | ~ epred2_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_367) ).

cnf(i_0_203,plain,
    e22 != e20,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_203) ).

cnf(i_0_169,plain,
    op2(e23,e23) != op2(e22,e23),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_169) ).

cnf(i_0_33,plain,
    ( op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_33) ).

cnf(i_0_127,plain,
    op1(e13,e12) != op1(e12,e12),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_127) ).

cnf(i_0_49,plain,
    ( op2(e23,e23) = e20
    | op2(e23,e23) = e21
    | op2(e23,e23) = e22
    | op2(e23,e23) = e23 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_49) ).

cnf(i_0_159,plain,
    op2(e21,e22) != op2(e21,e21),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_159) ).

cnf(i_0_161,plain,
    op2(e21,e22) != op2(e21,e20),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_161) ).

cnf(i_0_181,plain,
    op2(e23,e21) != op2(e22,e21),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_181) ).

cnf(i_0_182,plain,
    op2(e23,e21) != op2(e21,e21),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_182) ).

cnf(i_0_131,plain,
    op1(e10,e12) != op1(e12,e12),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_131) ).

cnf(i_0_369,plain,
    ( op2(op2(e21,e20),op2(e21,e20)) = e21
    | op2(op2(e21,e22),op2(e21,e22)) = e21
    | op2(op2(e22,e21),op2(e22,e21)) = e22
    | ~ epred2_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_369) ).

cnf(i_0_58,plain,
    ( op2(e21,e22) = e20
    | op2(e21,e22) = e21
    | op2(e21,e22) = e22
    | op2(e21,e22) = e23 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_58) ).

cnf(i_0_156,plain,
    op2(e22,e21) != op2(e22,e20),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_156) ).

cnf(i_0_73,plain,
    ( op2(e20,e22) = e23
    | op2(e21,e22) = e23
    | op2(e22,e22) = e23
    | op2(e23,e22) = e23 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_73) ).

cnf(i_0_200,plain,
    e23 != e21,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_200) ).

cnf(i_0_199,plain,
    e23 != e22,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_199) ).

cnf(i_0_51,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_51) ).

cnf(i_0_143,plain,
    op1(e10,e10) != op1(e12,e10),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_143) ).

cnf(i_0_95,plain,
    ( op2(e20,e20) = e20
    | op2(e21,e20) = e20
    | op2(e22,e20) = e20
    | op2(e23,e20) = e20 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_95) ).

cnf(i_0_93,plain,
    ( op2(e20,e20) = e21
    | op2(e21,e20) = e21
    | op2(e22,e20) = e21
    | op2(e23,e20) = e21 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_93) ).

cnf(i_0_147,plain,
    op2(e23,e22) != op2(e23,e21),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_147) ).

cnf(i_0_146,plain,
    op2(e23,e23) != op2(e23,e21),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_146) ).

cnf(i_0_86,plain,
    ( op2(e21,e20) = e21
    | op2(e21,e21) = e21
    | op2(e21,e22) = e21
    | op2(e21,e23) = e21 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_86) ).

cnf(i_0_371,plain,
    ( op2(op2(e21,e20),op2(e21,e20)) = e21
    | op2(op2(e21,e21),op2(e21,e21)) = e21
    | op2(op2(e23,e22),op2(e23,e22)) = e23
    | ~ epred2_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_371) ).

cnf(i_0_306,plain,
    ( op1(op1(e10,e12),op1(e10,e12)) = e10
    | op1(op1(e11,e10),op1(e11,e10)) = e11
    | op1(op1(e12,e11),op1(e12,e11)) = e12
    | ~ epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_306) ).

cnf(i_0_170,plain,
    op2(e23,e23) != op2(e21,e23),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_170) ).

cnf(i_0_132,plain,
    op1(e10,e12) != op1(e11,e12),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_132) ).

cnf(i_0_165,plain,
    op2(e20,e22) != op2(e20,e21),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_165) ).

cnf(i_0_63,plain,
    ( op2(e20,e21) = e20
    | op2(e20,e21) = e21
    | op2(e20,e21) = e22
    | op2(e20,e21) = e23 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_63) ).

cnf(i_0_374,plain,
    ( op2(op2(e20,e22),op2(e20,e22)) = e20
    | op2(op2(e21,e20),op2(e21,e20)) = e21
    | op2(op2(e21,e21),op2(e21,e21)) = e21
    | ~ epred2_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_374) ).

cnf(i_0_77,plain,
    ( op2(e20,e22) = e21
    | op2(e21,e22) = e21
    | op2(e22,e22) = e21
    | op2(e23,e22) = e21 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_77) ).

cnf(i_0_168,plain,
    op2(e20,e21) != op2(e20,e20),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_168) ).

cnf(i_0_309,plain,
    ( op1(op1(e11,e10),op1(e11,e10)) = e11
    | op1(op1(e11,e11),op1(e11,e11)) = e11
    | op1(op1(e11,e12),op1(e11,e12)) = e11
    | ~ epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_309) ).

cnf(i_0_155,plain,
    op2(e22,e22) != op2(e22,e20),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_155) ).

cnf(i_0_129,plain,
    op1(e12,e12) != op1(e11,e12),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_129) ).

cnf(i_0_133,plain,
    op1(e13,e11) != op1(e12,e11),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_133) ).

cnf(i_0_373,plain,
    ( op2(op2(e21,e20),op2(e21,e20)) = e21
    | op2(op2(e21,e21),op2(e21,e21)) = e21
    | op2(op2(e21,e22),op2(e21,e22)) = e21
    | ~ epred2_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_373) ).

cnf(i_0_277,plain,
    ( op1(op1(e11,e11),op1(e11,e11)) = e11
    | op1(op1(e11,e12),op1(e11,e12)) = e11
    | op1(op1(e13,e10),op1(e13,e10)) = e13
    | ~ epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_277) ).

cnf(i_0_140,plain,
    op1(e13,e10) != op1(e11,e10),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_140) ).

cnf(i_0_24,plain,
    ( op1(e13,e10) = e10
    | op1(e13,e11) = e10
    | op1(e13,e12) = e10
    | op1(e13,e13) = e10 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_24) ).

cnf(i_0_144,plain,
    op1(e10,e10) != op1(e11,e10),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_144) ).

cnf(i_0_177,plain,
    op2(e22,e22) != op2(e21,e22),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_177) ).

cnf(i_0_4,plain,
    ( op1(e13,e10) = e10
    | op1(e13,e10) = e11
    | op1(e13,e10) = e12
    | op1(e13,e10) = e13 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_4) ).

cnf(i_0_100,plain,
    op1(e13,e13) != op1(e13,e10),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_100) ).

cnf(i_0_37,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_37) ).

cnf(i_0_98,plain,
    op1(e13,e13) != op1(e13,e11),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_98) ).

cnf(i_0_42,plain,
    ( op1(e10,e10) = e13
    | op1(e10,e11) = e13
    | op1(e10,e12) = e13
    | op1(e10,e13) = e13 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_42) ).

cnf(i_0_341,plain,
    ( op2(op2(e21,e21),op2(e21,e21)) = e21
    | op2(op2(e21,e22),op2(e21,e22)) = e21
    | op2(op2(e23,e20),op2(e23,e20)) = e23
    | ~ epred2_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_341) ).

cnf(i_0_72,plain,
    ( op2(e23,e20) = e20
    | op2(e23,e21) = e20
    | op2(e23,e22) = e20
    | op2(e23,e23) = e20 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_72) ).

cnf(i_0_30,plain,
    ( op1(e12,e10) = e11
    | op1(e12,e11) = e11
    | op1(e12,e12) = e11
    | op1(e12,e13) = e11 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_30) ).

cnf(i_0_121,plain,
    op1(e13,e13) != op1(e12,e13),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_121) ).

cnf(i_0_52,plain,
    ( op2(e23,e20) = e20
    | op2(e23,e20) = e21
    | op2(e23,e20) = e22
    | op2(e23,e20) = e23 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_52) ).

cnf(i_0_148,plain,
    op2(e23,e23) != op2(e23,e20),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_148) ).

cnf(i_0_50,plain,
    ( op2(e23,e22) = e20
    | op2(e23,e22) = e21
    | op2(e23,e22) = e22
    | op2(e23,e22) = e23 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_50) ).

cnf(i_0_88,plain,
    ( op2(e21,e20) = e20
    | op2(e21,e21) = e20
    | op2(e21,e22) = e20
    | op2(e21,e23) = e20 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_88) ).

cnf(i_0_112,plain,
    op1(e11,e13) != op1(e11,e10),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_112) ).

cnf(i_0_142,plain,
    op1(e13,e10) != op1(e10,e10),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/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/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_16) ).

cnf(i_0_120,plain,
    op1(e10,e10) != op1(e10,e11),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_120) ).

cnf(i_0_119,plain,
    op1(e10,e10) != op1(e10,e12),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_119) ).

cnf(i_0_17,plain,
    ( op1(e10,e13) = e13
    | op1(e11,e13) = e13
    | op1(e12,e13) = e13
    | op1(e13,e13) = e13 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_17) ).

cnf(i_0_28,plain,
    ( op1(e12,e10) = e12
    | op1(e12,e11) = e12
    | op1(e12,e12) = e12
    | op1(e12,e13) = e12 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_28) ).

cnf(i_0_134,plain,
    op1(e13,e11) != op1(e11,e11),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_134) ).

cnf(i_0_160,plain,
    op2(e21,e23) != op2(e21,e20),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_160) ).

cnf(i_0_178,plain,
    op2(e23,e22) != op2(e20,e22),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_178) ).

cnf(i_0_176,plain,
    op2(e23,e22) != op2(e21,e22),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_176) ).

cnf(i_0_78,plain,
    ( op2(e22,e20) = e21
    | op2(e22,e21) = e21
    | op2(e22,e22) = e21
    | op2(e22,e23) = e21 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_78) ).

cnf(i_0_103,plain,
    op1(e12,e13) != op1(e12,e12),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_103) ).

cnf(i_0_3,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_3) ).

cnf(i_0_65,plain,
    ( op2(e20,e23) = e23
    | op2(e21,e23) = e23
    | op2(e22,e23) = e23
    | op2(e23,e23) = e23 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_65) ).

cnf(i_0_76,plain,
    ( op2(e22,e20) = e22
    | op2(e22,e21) = e22
    | op2(e22,e22) = e22
    | op2(e22,e23) = e22 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_76) ).

cnf(i_0_573,plain,
    ( epred5_0
    | h3(e10) != e20
    | h3(e11) != e22
    | h3(e13) != e21
    | op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
    | op2(h3(e10),h3(e11)) != h3(op1(e10,e11))
    | op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
    | op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
    | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))
    | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))
    | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))
    | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))
    | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
    | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))
    | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
    | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
    | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
    | op2(h3(e13),h3(e11)) != h3(op1(e13,e11))
    | op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
    | op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_573) ).

cnf(i_0_246,plain,
    h3(e11) = e22,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_246) ).

cnf(i_0_245,plain,
    op2(op2(e22,e22),e22) = h3(e10),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_245) ).

cnf(i_0_243,plain,
    op2(e22,op2(op2(e22,e22),e22)) = h3(e13),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_243) ).

cnf(i_0_244,plain,
    op2(e22,e22) = h3(e12),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_244) ).

cnf(i_0_85,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_85) ).

cnf(i_0_149,plain,
    op2(e23,e22) != op2(e23,e20),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_149) ).

cnf(i_0_151,plain,
    op2(e22,e23) != op2(e22,e22),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_151) ).

cnf(i_0_179,plain,
    op2(e22,e22) != op2(e20,e22),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_179) ).

cnf(i_0_62,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e22) = e21
    | op2(e20,e22) = e22
    | op2(e20,e22) = e23 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_62) ).

cnf(i_0_180,plain,
    op2(e21,e22) != op2(e20,e22),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_180) ).

cnf(i_0_256,negated_conjecture,
    ( h3(e12) != e23
    | ~ epred5_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d944zsyp/lgb.p',i_0_256) ).

cnf(c_0_712,plain,
    op1(op1(e11,e11),e11) = e10,
    i_0_231 ).

cnf(c_0_713,plain,
    op1(e11,e11) = e12,
    i_0_230 ).

cnf(c_0_714,plain,
    op1(e11,op1(op1(e11,e11),e11)) = e13,
    i_0_229 ).

cnf(c_0_715,plain,
    op1(e12,e11) = e10,
    inference(rw,[status(thm)],[c_0_712,c_0_713]) ).

cnf(c_0_716,plain,
    op1(e10,e11) != op1(e12,e11),
    i_0_137 ).

cnf(c_0_717,plain,
    op1(e10,e11) != op1(e11,e11),
    i_0_138 ).

cnf(c_0_718,plain,
    ( op1(e11,e10) = e10
    | op1(e11,e11) = e10
    | op1(e11,e12) = e10
    | op1(e11,e13) = e10 ),
    i_0_40 ).

cnf(c_0_719,plain,
    op1(e11,e10) = e13,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_714,c_0_713]),c_0_715]) ).

cnf(c_0_720,plain,
    e10 != e12,
    i_0_197 ).

cnf(c_0_721,plain,
    e13 != e10,
    i_0_196 ).

cnf(c_0_722,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e11) = e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    i_0_48 ).

cnf(c_0_723,plain,
    op1(e10,e11) != e10,
    inference(rw,[status(thm)],[c_0_716,c_0_715]) ).

cnf(c_0_724,plain,
    ( op1(e10,e10) = e12
    | op1(e10,e11) = e12
    | op1(e10,e12) = e12
    | op1(e10,e13) = e12 ),
    i_0_44 ).

cnf(c_0_725,plain,
    op1(e10,e11) != e12,
    inference(rw,[status(thm)],[c_0_717,c_0_713]) ).

cnf(c_0_726,plain,
    op1(e12,e12) != op1(e12,e11),
    i_0_105 ).

cnf(c_0_727,plain,
    ( op1(op1(e11,e13),op1(e11,e13)) = e11
    | epred1_0 ),
    i_0_223 ).

cnf(c_0_728,plain,
    ( op1(e11,e13) = e10
    | op1(e11,e12) = e10 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_718,c_0_713]),c_0_719]),c_0_720]),c_0_721]) ).

cnf(c_0_729,plain,
    ( op1(op1(e10,e13),op1(e10,e13)) = e10
    | epred1_0 ),
    i_0_224 ).

cnf(c_0_730,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e12) = e10
    | op1(e10,e10) = e10 ),
    inference(sr,[status(thm)],[c_0_722,c_0_723]) ).

cnf(c_0_731,plain,
    ( op1(e10,e13) = e12
    | op1(e10,e12) = e12
    | op1(e10,e10) = e12 ),
    inference(sr,[status(thm)],[c_0_724,c_0_725]) ).

cnf(c_0_732,plain,
    op1(e12,e12) != e10,
    inference(rw,[status(thm)],[c_0_726,c_0_715]) ).

cnf(c_0_733,plain,
    op2(op2(e21,e21),e21) = e20,
    i_0_234 ).

cnf(c_0_734,plain,
    op2(e21,e21) = e22,
    i_0_233 ).

cnf(c_0_735,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e11) = e11
    | op1(e11,e12) = e11
    | op1(e11,e13) = e11 ),
    i_0_38 ).

cnf(c_0_736,plain,
    e12 != e11,
    i_0_195 ).

cnf(c_0_737,plain,
    e13 != e11,
    i_0_194 ).

cnf(c_0_738,plain,
    ( op1(e11,e12) = e10
    | op1(e10,e10) = e11
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_727,c_0_728]) ).

cnf(c_0_739,plain,
    ( op1(e10,e12) = e10
    | op1(e10,e10) = e10
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_729,c_0_730]) ).

cnf(c_0_740,plain,
    e10 != e11,
    i_0_198 ).

cnf(c_0_741,plain,
    ( op1(e10,e12) = e12
    | op1(e10,e10) = e12
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_729,c_0_731]),c_0_732]) ).

cnf(c_0_742,plain,
    op2(e22,e23) != op2(e22,e21),
    i_0_152 ).

cnf(c_0_743,plain,
    op2(e22,e21) = e20,
    inference(rw,[status(thm)],[c_0_733,c_0_734]) ).

cnf(c_0_744,plain,
    op2(e21,op2(op2(e21,e21),e21)) = e23,
    i_0_232 ).

cnf(c_0_745,plain,
    ( op1(e11,e13) = e11
    | op1(e11,e12) = e11 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_735,c_0_713]),c_0_719]),c_0_736]),c_0_737]) ).

cnf(c_0_746,plain,
    ( op1(e10,e12) = e10
    | op1(e11,e12) = e10
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_738,c_0_739]),c_0_740]) ).

cnf(c_0_747,plain,
    ( op1(e10,e12) = e12
    | op1(e11,e12) = e10
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_738,c_0_741]),c_0_736]) ).

cnf(c_0_748,plain,
    ( op2(e20,e23) = e20
    | op2(e21,e23) = e20
    | op2(e22,e23) = e20
    | op2(e23,e23) = e20 ),
    i_0_71 ).

cnf(c_0_749,plain,
    op2(e22,e23) != e20,
    inference(rw,[status(thm)],[c_0_742,c_0_743]) ).

cnf(c_0_750,plain,
    op2(e21,e20) != op2(e20,e20),
    i_0_192 ).

cnf(c_0_751,plain,
    op2(e21,e20) = e23,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_744,c_0_734]),c_0_743]) ).

cnf(c_0_752,plain,
    ( op1(op1(e11,e10),op1(e11,e10)) = e11
    | op1(op1(e11,e11),op1(e11,e11)) = e11
    | op1(op1(e13,e12),op1(e13,e12)) = e13
    | ~ epred1_0 ),
    i_0_307 ).

cnf(c_0_753,plain,
    ( op1(e11,e12) = e11
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_727,c_0_745]),c_0_713]),c_0_736]) ).

cnf(c_0_754,plain,
    ( op1(e11,e12) = e10
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_746,c_0_747]),c_0_720]) ).

cnf(c_0_755,plain,
    ( op2(op2(e23,e23),op2(e23,e23)) = e23
    | epred2_0 ),
    i_0_225 ).

cnf(c_0_756,plain,
    ( op2(e23,e23) = e20
    | op2(e20,e23) = e20
    | op2(e21,e23) = e20 ),
    inference(sr,[status(thm)],[c_0_748,c_0_749]) ).

cnf(c_0_757,plain,
    op2(e20,e20) != e23,
    inference(rw,[status(thm)],[c_0_750,c_0_751]) ).

cnf(c_0_758,plain,
    ( op1(op1(e13,e12),op1(e13,e12)) = e13
    | op1(e13,e13) = e11
    | op1(e12,e12) = e11
    | ~ epred1_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_752,c_0_713]),c_0_713]),c_0_719]),c_0_719]) ).

cnf(c_0_759,plain,
    epred1_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_753,c_0_754]),c_0_740]) ).

cnf(c_0_760,plain,
    op2(e22,e21) != op2(e20,e21),
    i_0_185 ).

cnf(c_0_761,plain,
    op2(e20,e23) != op2(e20,e20),
    i_0_166 ).

cnf(c_0_762,plain,
    ( op2(e20,e23) = e20
    | op2(e21,e23) = e20
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_755,c_0_756]),c_0_757]) ).

cnf(c_0_763,plain,
    op2(e21,e21) != op2(e20,e21),
    i_0_186 ).

cnf(c_0_764,plain,
    ( op1(op1(e10,e12),op1(e10,e12)) = e10
    | op1(op1(e11,e10),op1(e11,e10)) = e11
    | op1(op1(e11,e11),op1(e11,e11)) = e11
    | ~ epred1_0 ),
    i_0_310 ).

cnf(c_0_765,plain,
    ( op1(op1(e13,e12),op1(e13,e12)) = e13
    | op1(e13,e13) = e11
    | op1(e12,e12) = e11 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_758,c_0_759])]) ).

cnf(c_0_766,plain,
    ( op1(e10,e12) = e11
    | op1(e11,e12) = e11
    | op1(e12,e12) = e11
    | op1(e13,e12) = e11 ),
    i_0_29 ).

cnf(c_0_767,plain,
    e13 != e12,
    i_0_193 ).

cnf(c_0_768,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    i_0_96 ).

cnf(c_0_769,plain,
    op2(e20,e21) != e20,
    inference(rw,[status(thm)],[c_0_760,c_0_743]) ).

cnf(c_0_770,plain,
    ( op2(op2(e20,e23),op2(e20,e23)) = e20
    | epred2_0 ),
    i_0_228 ).

cnf(c_0_771,plain,
    ( op2(e21,e23) = e20
    | epred2_0
    | op2(e20,e20) != e20 ),
    inference(spm,[status(thm)],[c_0_761,c_0_762]) ).

cnf(c_0_772,plain,
    ( op2(e20,e20) = e22
    | op2(e20,e21) = e22
    | op2(e20,e22) = e22
    | op2(e20,e23) = e22 ),
    i_0_92 ).

cnf(c_0_773,plain,
    op2(e20,e21) != e22,
    inference(rw,[status(thm)],[c_0_763,c_0_734]) ).

cnf(c_0_774,plain,
    op2(e22,e22) != op2(e22,e21),
    i_0_153 ).

cnf(c_0_775,plain,
    op1(e11,e12) != op1(e11,e11),
    i_0_111 ).

cnf(c_0_776,plain,
    op1(e12,e10) != op1(e12,e11),
    i_0_108 ).

cnf(c_0_777,plain,
    op1(e13,e13) != op1(e11,e13),
    i_0_122 ).

cnf(c_0_778,plain,
    ( op1(e13,e10) = e11
    | op1(e13,e11) = e11
    | op1(e13,e12) = e11
    | op1(e13,e13) = e11 ),
    i_0_22 ).

cnf(c_0_779,plain,
    ( op1(op1(e10,e12),op1(e10,e12)) = e10
    | op1(e13,e13) = e11
    | op1(e12,e12) = e11
    | ~ epred1_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_764,c_0_713]),c_0_713]),c_0_719]),c_0_719]) ).

cnf(c_0_780,plain,
    ( op1(e10,e12) = e11
    | op1(e11,e12) = e11
    | op1(e12,e12) = e11
    | op1(e13,e13) = e11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_765,c_0_766]),c_0_713]),c_0_767]) ).

cnf(c_0_781,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e22) = e20
    | op2(e20,e20) = e20 ),
    inference(sr,[status(thm)],[c_0_768,c_0_769]) ).

cnf(c_0_782,plain,
    ( op2(op2(e21,e23),op2(e21,e23)) = e21
    | epred2_0 ),
    i_0_227 ).

cnf(c_0_783,plain,
    ( op2(e21,e23) = e20
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_770,c_0_762]),c_0_771]) ).

cnf(c_0_784,plain,
    ( op2(e20,e23) = e22
    | op2(e20,e22) = e22
    | op2(e20,e20) = e22 ),
    inference(sr,[status(thm)],[c_0_772,c_0_773]) ).

cnf(c_0_785,plain,
    op2(e22,e22) != e20,
    inference(rw,[status(thm)],[c_0_774,c_0_743]) ).

cnf(c_0_786,plain,
    op2(e23,e20) != op2(e21,e20),
    i_0_188 ).

cnf(c_0_787,plain,
    ( op1(op1(e11,e10),op1(e11,e10)) = e11
    | op1(op1(e11,e12),op1(e11,e12)) = e11
    | op1(op1(e12,e11),op1(e12,e11)) = e12
    | ~ epred1_0 ),
    i_0_305 ).

cnf(c_0_788,plain,
    ( op1(e11,e12) = e10
    | op1(e11,e12) = e11
    | op1(e11,e12) = e12
    | op1(e11,e12) = e13 ),
    i_0_10 ).

cnf(c_0_789,plain,
    op1(e11,e12) != e12,
    inference(rw,[status(thm)],[c_0_775,c_0_713]) ).

cnf(c_0_790,plain,
    op1(e11,e10) != op1(e11,e12),
    i_0_113 ).

cnf(c_0_791,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e10) = e10
    | op1(e12,e10) = e10
    | op1(e13,e10) = e10 ),
    i_0_47 ).

cnf(c_0_792,plain,
    op1(e12,e10) != e10,
    inference(rw,[status(thm)],[c_0_776,c_0_715]) ).

cnf(c_0_793,plain,
    ( op1(e13,e12) = e11
    | op1(e13,e10) = e11
    | op1(e13,e11) = e11
    | op1(e11,e13) != e11 ),
    inference(spm,[status(thm)],[c_0_777,c_0_778]) ).

cnf(c_0_794,plain,
    ( op1(op1(e10,e12),op1(e10,e12)) = e10
    | op1(e13,e13) = e11
    | op1(e12,e12) = e11 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_779,c_0_759])]) ).

cnf(c_0_795,plain,
    ( op1(e12,e12) = e11
    | op1(e11,e12) = e11
    | op1(e10,e12) = e11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_777,c_0_780]),c_0_745]) ).

cnf(c_0_796,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e20) = e20
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_770,c_0_781]) ).

cnf(c_0_797,plain,
    ( op2(e20,e20) = e21
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_782,c_0_783]) ).

cnf(c_0_798,plain,
    e21 != e20,
    i_0_204 ).

cnf(c_0_799,plain,
    ( op2(e20,e22) = e22
    | op2(e20,e20) = e22
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_770,c_0_784]),c_0_785]) ).

cnf(c_0_800,plain,
    e22 != e21,
    i_0_201 ).

cnf(c_0_801,plain,
    ( op2(e23,e20) = e23
    | op2(e23,e21) = e23
    | op2(e23,e22) = e23
    | op2(e23,e23) = e23 ),
    i_0_66 ).

cnf(c_0_802,plain,
    op2(e23,e20) != e23,
    inference(rw,[status(thm)],[c_0_786,c_0_751]) ).

cnf(c_0_803,plain,
    ( op2(e22,e20) = e23
    | op2(e22,e21) = e23
    | op2(e22,e22) = e23
    | op2(e22,e23) = e23 ),
    i_0_74 ).

cnf(c_0_804,plain,
    e23 != e20,
    i_0_202 ).

cnf(c_0_805,plain,
    op2(e22,e20) != op2(e21,e20),
    i_0_189 ).

cnf(c_0_806,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12
    | op1(e13,e10) = e12 ),
    i_0_43 ).

cnf(c_0_807,plain,
    op1(e10,e13) != op1(e11,e13),
    i_0_126 ).

cnf(c_0_808,plain,
    ( op1(e10,e10) = e11
    | op1(e10,e11) = e11
    | op1(e10,e12) = e11
    | op1(e10,e13) = e11 ),
    i_0_46 ).

cnf(c_0_809,plain,
    ( op1(op1(e11,e12),op1(e11,e12)) = e11
    | op1(e10,e10) = e12
    | op1(e13,e13) = e11
    | ~ epred1_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_787,c_0_719]),c_0_719]),c_0_715]),c_0_715]) ).

cnf(c_0_810,plain,
    ( op1(e11,e12) = e13
    | op1(e11,e12) = e10
    | op1(e11,e12) = e11 ),
    inference(sr,[status(thm)],[c_0_788,c_0_789]) ).

cnf(c_0_811,plain,
    op1(e11,e12) != e13,
    inference(rw,[status(thm)],[c_0_790,c_0_719]) ).

cnf(c_0_812,plain,
    ( op1(e13,e10) = e10
    | op1(e10,e10) = e10 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_791,c_0_719]),c_0_721]),c_0_792]) ).

cnf(c_0_813,plain,
    ( op1(e11,e12) = e11
    | op1(e13,e11) = e11
    | op1(e13,e10) = e11
    | op1(e13,e12) = e11 ),
    inference(spm,[status(thm)],[c_0_793,c_0_745]) ).

cnf(c_0_814,plain,
    ( op1(e11,e12) = e11
    | op1(e12,e12) = e11
    | op1(e13,e13) = e11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_794,c_0_795]),c_0_713]),c_0_720]) ).

cnf(c_0_815,plain,
    ( op2(op2(e21,e20),op2(e21,e20)) = e21
    | op2(op2(e22,e21),op2(e22,e21)) = e22
    | op2(op2(e23,e22),op2(e23,e22)) = e23
    | ~ epred2_0 ),
    i_0_367 ).

cnf(c_0_816,plain,
    ( op2(e20,e22) = e20
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_796,c_0_797]),c_0_798]) ).

cnf(c_0_817,plain,
    ( op2(e20,e22) = e22
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_799,c_0_797]),c_0_800]) ).

cnf(c_0_818,plain,
    e22 != e20,
    i_0_203 ).

cnf(c_0_819,plain,
    op2(e23,e23) != op2(e22,e23),
    i_0_169 ).

cnf(c_0_820,plain,
    ( op2(e23,e21) = e23
    | op2(e23,e22) = e23
    | op2(e23,e23) = e23 ),
    inference(sr,[status(thm)],[c_0_801,c_0_802]) ).

cnf(c_0_821,plain,
    ( op2(e22,e23) = e23
    | op2(e22,e22) = e23
    | op2(e22,e20) = e23 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_803,c_0_743]),c_0_804]) ).

cnf(c_0_822,plain,
    op2(e22,e20) != e23,
    inference(rw,[status(thm)],[c_0_805,c_0_751]) ).

cnf(c_0_823,plain,
    ( op1(e13,e10) = e12
    | op1(e12,e10) = e12
    | op1(e10,e10) = e12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_806,c_0_719]),c_0_767]) ).

cnf(c_0_824,plain,
    ( op1(e10,e12) = e11
    | op1(e10,e10) = e11
    | op1(e10,e11) = e11
    | op1(e11,e13) != e11 ),
    inference(spm,[status(thm)],[c_0_807,c_0_808]) ).

cnf(c_0_825,plain,
    ( op1(op1(e11,e12),op1(e11,e12)) = e11
    | op1(e10,e10) = e12
    | op1(e13,e13) = e11 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_809,c_0_759])]) ).

cnf(c_0_826,plain,
    ( op1(e11,e12) = e11
    | op1(e11,e12) = e10 ),
    inference(sr,[status(thm)],[c_0_810,c_0_811]) ).

cnf(c_0_827,plain,
    ( op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    i_0_33 ).

cnf(c_0_828,plain,
    op1(e13,e12) != op1(e12,e12),
    i_0_127 ).

cnf(c_0_829,plain,
    ( op1(e13,e12) = e11
    | op1(e13,e11) = e11
    | op1(e11,e12) = e11
    | op1(e10,e10) = e10 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_812,c_0_813]),c_0_740]) ).

cnf(c_0_830,plain,
    ( op1(e12,e12) = e11
    | op1(e11,e12) = e11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_777,c_0_814]),c_0_745]) ).

cnf(c_0_831,plain,
    ( op2(e23,e23) = e20
    | op2(e23,e23) = e21
    | op2(e23,e23) = e22
    | op2(e23,e23) = e23 ),
    i_0_49 ).

cnf(c_0_832,plain,
    ( op2(op2(e23,e22),op2(e23,e22)) = e23
    | op2(e20,e20) = e22
    | op2(e23,e23) = e21
    | ~ epred2_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_815,c_0_751]),c_0_751]),c_0_743]),c_0_743]) ).

cnf(c_0_833,plain,
    epred2_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_816,c_0_817]),c_0_818]) ).

cnf(c_0_834,plain,
    ( op2(e23,e21) = e23
    | op2(e23,e22) = e23
    | op2(e22,e23) != e23 ),
    inference(spm,[status(thm)],[c_0_819,c_0_820]) ).

cnf(c_0_835,plain,
    ( op2(e22,e22) = e23
    | op2(e22,e23) = e23 ),
    inference(sr,[status(thm)],[c_0_821,c_0_822]) ).

cnf(c_0_836,plain,
    ( op1(e12,e10) = e12
    | op1(e10,e10) = e12
    | op1(e10,e10) = e10 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_812,c_0_823]),c_0_720]) ).

cnf(c_0_837,plain,
    ( op1(e11,e12) = e11
    | op1(e10,e11) = e11
    | op1(e10,e10) = e11
    | op1(e10,e12) = e11 ),
    inference(spm,[status(thm)],[c_0_824,c_0_745]) ).

cnf(c_0_838,plain,
    ( op1(e11,e12) = e11
    | op1(e13,e13) = e11
    | op1(e10,e10) = e12
    | op1(e10,e10) = e11 ),
    inference(spm,[status(thm)],[c_0_825,c_0_826]) ).

cnf(c_0_839,plain,
    ( op1(e13,e11) = e13
    | op1(e10,e11) = e13 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_827,c_0_713]),c_0_715]),c_0_767]),c_0_721]) ).

cnf(c_0_840,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e12) = e11
    | op1(e13,e11) = e11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_828,c_0_829]),c_0_830]) ).

cnf(c_0_841,plain,
    op2(e21,e22) != op2(e21,e21),
    i_0_159 ).

cnf(c_0_842,plain,
    op2(e21,e22) != op2(e21,e20),
    i_0_161 ).

cnf(c_0_843,plain,
    ( op2(e23,e23) = e22
    | op2(e23,e23) = e20
    | op2(e23,e23) = e21
    | op2(e22,e23) != e23 ),
    inference(spm,[status(thm)],[c_0_819,c_0_831]) ).

cnf(c_0_844,plain,
    ( op2(op2(e23,e22),op2(e23,e22)) = e23
    | op2(e20,e20) = e22
    | op2(e23,e23) = e21 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_832,c_0_833])]) ).

cnf(c_0_845,plain,
    ( op2(e22,e22) = e23
    | op2(e23,e22) = e23
    | op2(e23,e21) = e23 ),
    inference(spm,[status(thm)],[c_0_834,c_0_835]) ).

cnf(c_0_846,plain,
    op2(e23,e21) != op2(e22,e21),
    i_0_181 ).

cnf(c_0_847,plain,
    op2(e23,e21) != op2(e21,e21),
    i_0_182 ).

cnf(c_0_848,plain,
    op1(e10,e12) != op1(e12,e12),
    i_0_131 ).

cnf(c_0_849,plain,
    ( op1(e10,e12) = e11
    | op1(e10,e11) = e11
    | op1(e11,e12) = e11
    | op1(e12,e10) = e12 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_836,c_0_837]),c_0_736]),c_0_740]) ).

cnf(c_0_850,plain,
    ( op1(e10,e10) = e11
    | op1(e10,e10) = e12
    | op1(e11,e12) = e11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_777,c_0_838]),c_0_745]) ).

cnf(c_0_851,plain,
    ( op1(e11,e12) = e11
    | op1(e10,e10) = e10
    | op1(e10,e11) = e13 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_839,c_0_840]),c_0_737]) ).

cnf(c_0_852,plain,
    ( op2(op2(e21,e20),op2(e21,e20)) = e21
    | op2(op2(e21,e22),op2(e21,e22)) = e21
    | op2(op2(e22,e21),op2(e22,e21)) = e22
    | ~ epred2_0 ),
    i_0_369 ).

cnf(c_0_853,plain,
    ( op2(e21,e22) = e20
    | op2(e21,e22) = e21
    | op2(e21,e22) = e22
    | op2(e21,e22) = e23 ),
    i_0_58 ).

cnf(c_0_854,plain,
    op2(e21,e22) != e22,
    inference(rw,[status(thm)],[c_0_841,c_0_734]) ).

cnf(c_0_855,plain,
    op2(e22,e21) != op2(e22,e20),
    i_0_156 ).

cnf(c_0_856,plain,
    ( op2(e20,e22) = e23
    | op2(e21,e22) = e23
    | op2(e22,e22) = e23
    | op2(e23,e22) = e23 ),
    i_0_73 ).

cnf(c_0_857,plain,
    op2(e21,e22) != e23,
    inference(rw,[status(thm)],[c_0_842,c_0_751]) ).

cnf(c_0_858,plain,
    ( op2(e22,e22) = e23
    | op2(e23,e23) = e21
    | op2(e23,e23) = e20
    | op2(e23,e23) = e22 ),
    inference(spm,[status(thm)],[c_0_843,c_0_835]) ).

cnf(c_0_859,plain,
    ( op2(e23,e21) = e23
    | op2(e22,e22) = e23
    | op2(e23,e23) = e21
    | op2(e20,e20) = e22
    | op2(e23,e23) = e23 ),
    inference(spm,[status(thm)],[c_0_844,c_0_845]) ).

cnf(c_0_860,plain,
    e23 != e21,
    i_0_200 ).

cnf(c_0_861,plain,
    e23 != e22,
    i_0_199 ).

cnf(c_0_862,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    i_0_51 ).

cnf(c_0_863,plain,
    op2(e23,e21) != e20,
    inference(rw,[status(thm)],[c_0_846,c_0_743]) ).

cnf(c_0_864,plain,
    op2(e23,e21) != e22,
    inference(rw,[status(thm)],[c_0_847,c_0_734]) ).

cnf(c_0_865,plain,
    op1(e10,e10) != op1(e12,e10),
    i_0_143 ).

cnf(c_0_866,plain,
    ( op1(e12,e10) = e12
    | op1(e11,e12) = e11
    | op1(e10,e11) = e11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_848,c_0_849]),c_0_830]) ).

cnf(c_0_867,plain,
    ( op1(e10,e11) = e13
    | op1(e11,e12) = e11 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_850,c_0_851]),c_0_740]),c_0_720]) ).

cnf(c_0_868,plain,
    ( op2(op2(e21,e22),op2(e21,e22)) = e21
    | op2(e20,e20) = e22
    | op2(e23,e23) = e21
    | ~ epred2_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_852,c_0_751]),c_0_751]),c_0_743]),c_0_743]) ).

cnf(c_0_869,plain,
    ( op2(e21,e22) = e23
    | op2(e21,e22) = e20
    | op2(e21,e22) = e21 ),
    inference(sr,[status(thm)],[c_0_853,c_0_854]) ).

cnf(c_0_870,plain,
    ( op2(e20,e20) = e20
    | op2(e21,e20) = e20
    | op2(e22,e20) = e20
    | op2(e23,e20) = e20 ),
    i_0_95 ).

cnf(c_0_871,plain,
    op2(e22,e20) != e20,
    inference(rw,[status(thm)],[c_0_855,c_0_743]) ).

cnf(c_0_872,plain,
    ( op2(e20,e20) = e21
    | op2(e21,e20) = e21
    | op2(e22,e20) = e21
    | op2(e23,e20) = e21 ),
    i_0_93 ).

cnf(c_0_873,plain,
    op2(e23,e22) != op2(e23,e21),
    i_0_147 ).

cnf(c_0_874,plain,
    ( op2(e20,e22) = e23
    | op2(e22,e22) = e23
    | op2(e23,e22) = e23 ),
    inference(sr,[status(thm)],[c_0_856,c_0_857]) ).

cnf(c_0_875,plain,
    op2(e23,e23) != op2(e23,e21),
    i_0_146 ).

cnf(c_0_876,plain,
    ( op2(e20,e20) = e22
    | op2(e23,e23) = e21
    | op2(e23,e21) = e23
    | op2(e22,e22) = e23 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_858,c_0_859]),c_0_860]),c_0_804]),c_0_861]) ).

cnf(c_0_877,plain,
    ( op2(e23,e21) = e23
    | op2(e23,e21) = e21 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_862,c_0_863]),c_0_864]) ).

cnf(c_0_878,plain,
    ( op1(e11,e12) = e11
    | op1(e10,e10) = e11
    | op1(e12,e10) != e12 ),
    inference(spm,[status(thm)],[c_0_865,c_0_850]) ).

cnf(c_0_879,plain,
    ( op1(e11,e12) = e11
    | op1(e12,e10) = e12 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_866,c_0_867]),c_0_737]) ).

cnf(c_0_880,plain,
    ( op2(op2(e21,e22),op2(e21,e22)) = e21
    | op2(e20,e20) = e22
    | op2(e23,e23) = e21 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_868,c_0_833])]) ).

cnf(c_0_881,plain,
    ( op2(e21,e22) = e21
    | op2(e21,e22) = e20 ),
    inference(sr,[status(thm)],[c_0_869,c_0_857]) ).

cnf(c_0_882,plain,
    ( op2(e21,e20) = e21
    | op2(e21,e21) = e21
    | op2(e21,e22) = e21
    | op2(e21,e23) = e21 ),
    i_0_86 ).

cnf(c_0_883,plain,
    ( op2(e23,e20) = e20
    | op2(e20,e20) = e20 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_870,c_0_751]),c_0_804]),c_0_871]) ).

cnf(c_0_884,plain,
    ( op2(e23,e20) = e21
    | op2(e22,e20) = e21
    | op2(e20,e20) = e21 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_872,c_0_751]),c_0_860]) ).

cnf(c_0_885,plain,
    ( op2(e20,e22) = e23
    | op2(e22,e22) = e23
    | op2(e23,e21) != e23 ),
    inference(spm,[status(thm)],[c_0_873,c_0_874]) ).

cnf(c_0_886,plain,
    ( op2(e22,e22) = e23
    | op2(e23,e21) = e23
    | op2(e20,e20) = e22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_875,c_0_876]),c_0_877]) ).

cnf(c_0_887,plain,
    ( op2(op2(e21,e20),op2(e21,e20)) = e21
    | op2(op2(e21,e21),op2(e21,e21)) = e21
    | op2(op2(e23,e22),op2(e23,e22)) = e23
    | ~ epred2_0 ),
    i_0_371 ).

cnf(c_0_888,plain,
    ( op1(op1(e10,e12),op1(e10,e12)) = e10
    | op1(op1(e11,e10),op1(e11,e10)) = e11
    | op1(op1(e12,e11),op1(e12,e11)) = e12
    | ~ epred1_0 ),
    i_0_306 ).

cnf(c_0_889,plain,
    ( op1(e10,e12) = e12
    | op1(e10,e10) = e12
    | op1(e10,e12) = e10
    | op1(e10,e10) = e10 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_730,c_0_731]),c_0_720]) ).

cnf(c_0_890,plain,
    ( op1(e10,e10) = e11
    | op1(e11,e12) = e11 ),
    inference(spm,[status(thm)],[c_0_878,c_0_879]) ).

cnf(c_0_891,plain,
    op2(e23,e23) != op2(e21,e23),
    i_0_170 ).

cnf(c_0_892,plain,
    ( op2(e21,e22) = e21
    | op2(e23,e23) = e21
    | op2(e20,e20) = e22
    | op2(e20,e20) = e21 ),
    inference(spm,[status(thm)],[c_0_880,c_0_881]) ).

cnf(c_0_893,plain,
    ( op2(e21,e23) = e21
    | op2(e21,e22) = e21 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_882,c_0_734]),c_0_751]),c_0_800]),c_0_860]) ).

cnf(c_0_894,plain,
    ( op2(e22,e20) = e21
    | op2(e20,e20) = e21
    | op2(e20,e20) = e20 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_883,c_0_884]),c_0_798]) ).

cnf(c_0_895,plain,
    ( op2(e20,e20) = e22
    | op2(e22,e22) = e23
    | op2(e20,e22) = e23 ),
    inference(spm,[status(thm)],[c_0_885,c_0_886]) ).

cnf(c_0_896,plain,
    ( op2(op2(e23,e22),op2(e23,e22)) = e23
    | op2(e23,e23) = e21
    | op2(e22,e22) = e21
    | ~ epred2_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_887,c_0_734]),c_0_734]),c_0_751]),c_0_751]) ).

cnf(c_0_897,plain,
    ( op1(op1(e10,e12),op1(e10,e12)) = e10
    | op1(e10,e10) = e12
    | op1(e13,e13) = e11
    | ~ epred1_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_888,c_0_719]),c_0_719]),c_0_715]),c_0_715]) ).

cnf(c_0_898,plain,
    op1(e10,e12) != op1(e11,e12),
    i_0_132 ).

cnf(c_0_899,plain,
    ( op1(e11,e12) = e11
    | op1(e10,e12) = e10
    | op1(e10,e12) = e12 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_889,c_0_890]),c_0_736]),c_0_740]) ).

cnf(c_0_900,plain,
    ( op2(e20,e20) = e21
    | op2(e20,e20) = e22
    | op2(e21,e22) = e21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_891,c_0_892]),c_0_893]) ).

cnf(c_0_901,plain,
    op2(e20,e22) != op2(e20,e21),
    i_0_165 ).

cnf(c_0_902,plain,
    ( op2(e20,e22) = e23
    | op2(e22,e22) = e23
    | op2(e22,e20) = e21 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_894,c_0_895]),c_0_800]),c_0_818]) ).

cnf(c_0_903,plain,
    ( op2(e20,e21) = e20
    | op2(e20,e21) = e21
    | op2(e20,e21) = e22
    | op2(e20,e21) = e23 ),
    i_0_63 ).

cnf(c_0_904,plain,
    ( op2(op2(e20,e22),op2(e20,e22)) = e20
    | op2(op2(e21,e20),op2(e21,e20)) = e21
    | op2(op2(e21,e21),op2(e21,e21)) = e21
    | ~ epred2_0 ),
    i_0_374 ).

cnf(c_0_905,plain,
    ( op2(op2(e23,e22),op2(e23,e22)) = e23
    | op2(e23,e23) = e21
    | op2(e22,e22) = e21 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_896,c_0_833])]) ).

cnf(c_0_906,plain,
    ( op2(e20,e22) = e21
    | op2(e21,e22) = e21
    | op2(e22,e22) = e21
    | op2(e23,e22) = e21 ),
    i_0_77 ).

cnf(c_0_907,plain,
    ( op1(op1(e10,e12),op1(e10,e12)) = e10
    | op1(e10,e10) = e12
    | op1(e13,e13) = e11 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_897,c_0_759])]) ).

cnf(c_0_908,plain,
    ( op1(e10,e12) = e12
    | op1(e11,e12) = e11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_898,c_0_899]),c_0_826]) ).

cnf(c_0_909,plain,
    op2(e20,e21) != op2(e20,e20),
    i_0_168 ).

cnf(c_0_910,plain,
    ( op2(e21,e22) = e21
    | op2(e20,e20) = e21
    | op2(e22,e20) = e21 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_894,c_0_900]),c_0_800]),c_0_818]) ).

cnf(c_0_911,plain,
    ( op2(e22,e20) = e21
    | op2(e22,e22) = e23
    | op2(e20,e21) != e23 ),
    inference(spm,[status(thm)],[c_0_901,c_0_902]) ).

cnf(c_0_912,plain,
    ( op2(e20,e21) = e23
    | op2(e20,e21) = e21 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_903,c_0_769]),c_0_773]) ).

cnf(c_0_913,plain,
    ( op2(op2(e20,e22),op2(e20,e22)) = e20
    | op2(e23,e23) = e21
    | op2(e22,e22) = e21
    | ~ epred2_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_904,c_0_734]),c_0_734]),c_0_751]),c_0_751]) ).

cnf(c_0_914,plain,
    ( op2(e20,e22) = e21
    | op2(e21,e22) = e21
    | op2(e22,e22) = e21
    | op2(e23,e23) = e21 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_905,c_0_906]),c_0_734]),c_0_861]) ).

cnf(c_0_915,plain,
    ( op1(e11,e12) = e11
    | op1(e13,e13) = e11
    | op1(e10,e10) = e12 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_907,c_0_908]),c_0_732]) ).

cnf(c_0_916,plain,
    ( op2(e22,e20) = e21
    | op2(e21,e22) = e21
    | op2(e20,e21) != e21 ),
    inference(spm,[status(thm)],[c_0_909,c_0_910]) ).

cnf(c_0_917,plain,
    ( op2(e20,e21) = e21
    | op2(e22,e22) = e23
    | op2(e22,e20) = e21 ),
    inference(spm,[status(thm)],[c_0_911,c_0_912]) ).

cnf(c_0_918,plain,
    ( op2(op2(e20,e22),op2(e20,e22)) = e20
    | op2(e23,e23) = e21
    | op2(e22,e22) = e21 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_913,c_0_833])]) ).

cnf(c_0_919,plain,
    ( op2(e22,e22) = e21
    | op2(e21,e22) = e21
    | op2(e20,e22) = e21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_891,c_0_914]),c_0_893]) ).

cnf(c_0_920,plain,
    ( op1(op1(e11,e10),op1(e11,e10)) = e11
    | op1(op1(e11,e11),op1(e11,e11)) = e11
    | op1(op1(e11,e12),op1(e11,e12)) = e11
    | ~ epred1_0 ),
    i_0_309 ).

cnf(c_0_921,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e12) = e11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_777,c_0_915]),c_0_745]) ).

cnf(c_0_922,plain,
    op2(e22,e22) != op2(e22,e20),
    i_0_155 ).

cnf(c_0_923,plain,
    ( op2(e22,e22) = e23
    | op2(e21,e22) = e21
    | op2(e22,e20) = e21 ),
    inference(spm,[status(thm)],[c_0_916,c_0_917]) ).

cnf(c_0_924,plain,
    ( op2(e21,e22) = e21
    | op2(e22,e22) = e21
    | op2(e23,e23) = e21 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_918,c_0_919]),c_0_734]),c_0_818]) ).

cnf(c_0_925,plain,
    ( op1(op1(e11,e12),op1(e11,e12)) = e11
    | op1(e13,e13) = e11
    | op1(e12,e12) = e11
    | ~ epred1_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_920,c_0_713]),c_0_713]),c_0_719]),c_0_719]) ).

cnf(c_0_926,plain,
    op1(e12,e12) != op1(e11,e12),
    i_0_129 ).

cnf(c_0_927,plain,
    op1(e11,e12) = e11,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_890,c_0_921]),c_0_736]) ).

cnf(c_0_928,plain,
    op1(e13,e11) != op1(e12,e11),
    i_0_133 ).

cnf(c_0_929,plain,
    ( op2(op2(e21,e20),op2(e21,e20)) = e21
    | op2(op2(e21,e21),op2(e21,e21)) = e21
    | op2(op2(e21,e22),op2(e21,e22)) = e21
    | ~ epred2_0 ),
    i_0_373 ).

cnf(c_0_930,plain,
    ( op2(e21,e22) = e21
    | op2(e22,e22) = e23
    | op2(e22,e22) != e21 ),
    inference(spm,[status(thm)],[c_0_922,c_0_923]) ).

cnf(c_0_931,plain,
    ( op2(e22,e22) = e21
    | op2(e21,e22) = e21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_891,c_0_924]),c_0_893]) ).

cnf(c_0_932,plain,
    ( op1(op1(e11,e11),op1(e11,e11)) = e11
    | op1(op1(e11,e12),op1(e11,e12)) = e11
    | op1(op1(e13,e10),op1(e13,e10)) = e13
    | ~ epred1_0 ),
    i_0_277 ).

cnf(c_0_933,plain,
    op1(e13,e10) != op1(e11,e10),
    i_0_140 ).

cnf(c_0_934,plain,
    ( op1(op1(e11,e12),op1(e11,e12)) = e11
    | op1(e13,e13) = e11
    | op1(e12,e12) = e11 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_925,c_0_759])]) ).

cnf(c_0_935,plain,
    op1(e12,e12) != e11,
    inference(rw,[status(thm)],[c_0_926,c_0_927]) ).

cnf(c_0_936,plain,
    ( op1(e13,e10) = e10
    | op1(e13,e11) = e10
    | op1(e13,e12) = e10
    | op1(e13,e13) = e10 ),
    i_0_24 ).

cnf(c_0_937,plain,
    op1(e13,e11) != e10,
    inference(rw,[status(thm)],[c_0_928,c_0_715]) ).

cnf(c_0_938,plain,
    op1(e10,e10) != op1(e11,e10),
    i_0_144 ).

cnf(c_0_939,plain,
    ( op2(op2(e21,e22),op2(e21,e22)) = e21
    | op2(e23,e23) = e21
    | op2(e22,e22) = e21
    | ~ epred2_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_929,c_0_734]),c_0_734]),c_0_751]),c_0_751]) ).

cnf(c_0_940,plain,
    op2(e22,e22) != op2(e21,e22),
    i_0_177 ).

cnf(c_0_941,plain,
    op2(e21,e22) = e21,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_930,c_0_931]),c_0_860]) ).

cnf(c_0_942,plain,
    ( op1(op1(e13,e10),op1(e13,e10)) = e13
    | op1(op1(e11,e12),op1(e11,e12)) = e11
    | op1(e12,e12) = e11
    | ~ epred1_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_932,c_0_713]),c_0_713]) ).

cnf(c_0_943,plain,
    ( op1(e13,e10) = e10
    | op1(e13,e10) = e11
    | op1(e13,e10) = e12
    | op1(e13,e10) = e13 ),
    i_0_4 ).

cnf(c_0_944,plain,
    op1(e13,e10) != e13,
    inference(rw,[status(thm)],[c_0_933,c_0_719]) ).

cnf(c_0_945,plain,
    op1(e13,e13) != op1(e13,e10),
    i_0_100 ).

cnf(c_0_946,plain,
    op1(e13,e13) = e11,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_934,c_0_927]),c_0_927]),c_0_713]),c_0_736]),c_0_935]) ).

cnf(c_0_947,plain,
    ( op1(e13,e13) = e10
    | op1(e13,e12) = e10
    | op1(e13,e10) = e10 ),
    inference(sr,[status(thm)],[c_0_936,c_0_937]) ).

cnf(c_0_948,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    i_0_37 ).

cnf(c_0_949,plain,
    op1(e13,e13) != op1(e13,e11),
    i_0_98 ).

cnf(c_0_950,plain,
    ( op1(e10,e10) = e13
    | op1(e10,e11) = e13
    | op1(e10,e12) = e13
    | op1(e10,e13) = e13 ),
    i_0_42 ).

cnf(c_0_951,plain,
    op1(e10,e10) != e13,
    inference(rw,[status(thm)],[c_0_938,c_0_719]) ).

cnf(c_0_952,plain,
    ( op2(op2(e21,e21),op2(e21,e21)) = e21
    | op2(op2(e21,e22),op2(e21,e22)) = e21
    | op2(op2(e23,e20),op2(e23,e20)) = e23
    | ~ epred2_0 ),
    i_0_341 ).

cnf(c_0_953,plain,
    ( op2(op2(e21,e22),op2(e21,e22)) = e21
    | op2(e23,e23) = e21
    | op2(e22,e22) = e21 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_939,c_0_833])]) ).

cnf(c_0_954,plain,
    op2(e22,e22) != e21,
    inference(rw,[status(thm)],[c_0_940,c_0_941]) ).

cnf(c_0_955,plain,
    ( op2(e23,e20) = e20
    | op2(e23,e21) = e20
    | op2(e23,e22) = e20
    | op2(e23,e23) = e20 ),
    i_0_72 ).

cnf(c_0_956,plain,
    ( op1(op1(e13,e10),op1(e13,e10)) = e13
    | op1(op1(e11,e12),op1(e11,e12)) = e11
    | op1(e12,e12) = e11 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_942,c_0_759])]) ).

cnf(c_0_957,plain,
    ( op1(e13,e10) = e12
    | op1(e13,e10) = e10
    | op1(e13,e10) = e11 ),
    inference(sr,[status(thm)],[c_0_943,c_0_944]) ).

cnf(c_0_958,plain,
    op1(e13,e10) != e11,
    inference(rw,[status(thm)],[c_0_945,c_0_946]) ).

cnf(c_0_959,plain,
    ( op1(e13,e12) = e10
    | op1(e13,e10) = e10
    | op1(e11,e13) != e10 ),
    inference(spm,[status(thm)],[c_0_777,c_0_947]) ).

cnf(c_0_960,plain,
    ( op1(e13,e11) = e11
    | op1(e10,e11) = e11 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_948,c_0_713]),c_0_715]),c_0_736]),c_0_740]) ).

cnf(c_0_961,plain,
    op1(e13,e11) != e11,
    inference(rw,[status(thm)],[c_0_949,c_0_946]) ).

cnf(c_0_962,plain,
    ( op1(e10,e11) = e13
    | op1(e10,e12) = e13
    | op1(e10,e13) = e13 ),
    inference(sr,[status(thm)],[c_0_950,c_0_951]) ).

cnf(c_0_963,plain,
    ( op1(e12,e10) = e11
    | op1(e12,e11) = e11
    | op1(e12,e12) = e11
    | op1(e12,e13) = e11 ),
    i_0_30 ).

cnf(c_0_964,plain,
    op1(e13,e13) != op1(e12,e13),
    i_0_121 ).

cnf(c_0_965,plain,
    ( op2(op2(e23,e20),op2(e23,e20)) = e23
    | op2(op2(e21,e22),op2(e21,e22)) = e21
    | op2(e22,e22) = e21
    | ~ epred2_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_952,c_0_734]),c_0_734]) ).

cnf(c_0_966,plain,
    ( op2(e23,e20) = e20
    | op2(e23,e20) = e21
    | op2(e23,e20) = e22
    | op2(e23,e20) = e23 ),
    i_0_52 ).

cnf(c_0_967,plain,
    op2(e23,e23) != op2(e23,e20),
    i_0_148 ).

cnf(c_0_968,plain,
    op2(e23,e23) = e21,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_953,c_0_941]),c_0_941]),c_0_734]),c_0_800]),c_0_954]) ).

cnf(c_0_969,plain,
    ( op2(e23,e22) = e20
    | op2(e23,e22) = e21
    | op2(e23,e22) = e22
    | op2(e23,e22) = e23 ),
    i_0_50 ).

cnf(c_0_970,plain,
    ( op2(e23,e23) = e20
    | op2(e23,e22) = e20
    | op2(e23,e20) = e20 ),
    inference(sr,[status(thm)],[c_0_955,c_0_863]) ).

cnf(c_0_971,plain,
    ( op2(e21,e20) = e20
    | op2(e21,e21) = e20
    | op2(e21,e22) = e20
    | op2(e21,e23) = e20 ),
    i_0_88 ).

cnf(c_0_972,plain,
    op1(e11,e13) != op1(e11,e10),
    i_0_112 ).

cnf(c_0_973,plain,
    op1(op1(e13,e10),op1(e13,e10)) = e13,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_956,c_0_927]),c_0_927]),c_0_713]),c_0_736]),c_0_935]) ).

cnf(c_0_974,plain,
    ( op1(e13,e10) = e12
    | op1(e13,e10) = e10 ),
    inference(sr,[status(thm)],[c_0_957,c_0_958]) ).

cnf(c_0_975,plain,
    op1(e13,e10) != op1(e10,e10),
    i_0_142 ).

cnf(c_0_976,plain,
    ( op1(e11,e12) = e10
    | op1(e13,e10) = e10
    | op1(e13,e12) = e10 ),
    inference(spm,[status(thm)],[c_0_959,c_0_728]) ).

cnf(c_0_977,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e10) = e11
    | op1(e10,e10) = e12
    | op1(e10,e10) = e13 ),
    i_0_16 ).

cnf(c_0_978,plain,
    op1(e10,e10) != op1(e10,e11),
    i_0_120 ).

cnf(c_0_979,plain,
    op1(e10,e11) = e11,
    inference(sr,[status(thm)],[c_0_960,c_0_961]) ).

cnf(c_0_980,plain,
    ( op1(e10,e11) = e13
    | op1(e10,e12) = e13
    | op1(e10,e12) = e10
    | op1(e10,e10) = e10 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_730,c_0_962]),c_0_721]) ).

cnf(c_0_981,plain,
    ( op1(e10,e11) = e13
    | op1(e10,e12) = e13
    | op1(e10,e12) = e12
    | op1(e10,e10) = e12 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_731,c_0_962]),c_0_767]) ).

cnf(c_0_982,plain,
    op1(e10,e10) != op1(e10,e12),
    i_0_119 ).

cnf(c_0_983,plain,
    ( op1(e12,e13) = e11
    | op1(e12,e12) = e11
    | op1(e12,e10) = e11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_963,c_0_715]),c_0_740]) ).

cnf(c_0_984,plain,
    op1(e12,e13) != e11,
    inference(rw,[status(thm)],[c_0_964,c_0_946]) ).

cnf(c_0_985,plain,
    ( op2(op2(e23,e20),op2(e23,e20)) = e23
    | op2(op2(e21,e22),op2(e21,e22)) = e21
    | op2(e22,e22) = e21 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_965,c_0_833])]) ).

cnf(c_0_986,plain,
    ( op2(e23,e20) = e21
    | op2(e23,e20) = e20
    | op2(e23,e20) = e22 ),
    inference(sr,[status(thm)],[c_0_966,c_0_802]) ).

cnf(c_0_987,plain,
    op2(e23,e20) != e21,
    inference(rw,[status(thm)],[c_0_967,c_0_968]) ).

cnf(c_0_988,plain,
    ( op2(e23,e22) = e22
    | op2(e23,e22) = e20
    | op2(e23,e22) = e21
    | op2(e23,e21) != e23 ),
    inference(spm,[status(thm)],[c_0_873,c_0_969]) ).

cnf(c_0_989,plain,
    ( op2(e23,e22) = e20
    | op2(e23,e20) = e20
    | op2(e21,e23) != e20 ),
    inference(spm,[status(thm)],[c_0_891,c_0_970]) ).

cnf(c_0_990,plain,
    ( op2(e21,e23) = e20
    | op2(e21,e22) = e20 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_971,c_0_734]),c_0_751]),c_0_818]),c_0_804]) ).

cnf(c_0_991,plain,
    ( op1(e10,e13) = e13
    | op1(e11,e13) = e13
    | op1(e12,e13) = e13
    | op1(e13,e13) = e13 ),
    i_0_17 ).

cnf(c_0_992,plain,
    op1(e11,e13) != e13,
    inference(rw,[status(thm)],[c_0_972,c_0_719]) ).

cnf(c_0_993,plain,
    op1(e13,e10) = e12,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_973,c_0_974]),c_0_951]) ).

cnf(c_0_994,plain,
    ( op1(e12,e10) = e12
    | op1(e12,e11) = e12
    | op1(e12,e12) = e12
    | op1(e12,e13) = e12 ),
    i_0_28 ).

cnf(c_0_995,plain,
    ( op1(e13,e12) = e10
    | op1(e11,e12) = e10
    | op1(e10,e10) != e10 ),
    inference(spm,[status(thm)],[c_0_975,c_0_976]) ).

cnf(c_0_996,plain,
    ( op1(e10,e10) = e11
    | op1(e10,e10) = e10
    | op1(e10,e10) = e12 ),
    inference(sr,[status(thm)],[c_0_977,c_0_951]) ).

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

cnf(c_0_998,plain,
    ( op1(e10,e12) = e12
    | op1(e10,e12) = e10
    | op1(e10,e12) = e13
    | op1(e10,e11) = e13 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_980,c_0_981]),c_0_720]) ).

cnf(c_0_999,plain,
    ( op1(e10,e10) = e12
    | op1(e12,e10) = e12
    | op1(e10,e12) != e10 ),
    inference(spm,[status(thm)],[c_0_982,c_0_836]) ).

cnf(c_0_1000,plain,
    op1(e12,e10) = e11,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_983,c_0_935]),c_0_984]) ).

cnf(c_0_1001,plain,
    op1(e13,e11) != op1(e11,e11),
    i_0_134 ).

cnf(c_0_1002,plain,
    op2(e21,e23) != op2(e21,e20),
    i_0_160 ).

cnf(c_0_1003,plain,
    op2(op2(e23,e20),op2(e23,e20)) = e23,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_985,c_0_941]),c_0_941]),c_0_734]),c_0_800]),c_0_954]) ).

cnf(c_0_1004,plain,
    ( op2(e23,e20) = e20
    | op2(e23,e20) = e22 ),
    inference(sr,[status(thm)],[c_0_986,c_0_987]) ).

cnf(c_0_1005,plain,
    op2(e23,e22) != op2(e20,e22),
    i_0_178 ).

cnf(c_0_1006,plain,
    ( op2(e23,e21) = e21
    | op2(e23,e22) = e21
    | op2(e23,e22) = e20
    | op2(e23,e22) = e22 ),
    inference(spm,[status(thm)],[c_0_988,c_0_877]) ).

cnf(c_0_1007,plain,
    op2(e23,e21) != e21,
    inference(rw,[status(thm)],[c_0_875,c_0_968]) ).

cnf(c_0_1008,plain,
    op2(e23,e22) != op2(e21,e22),
    i_0_176 ).

cnf(c_0_1009,plain,
    ( op2(e21,e22) = e20
    | op2(e23,e20) = e20
    | op2(e23,e22) = e20 ),
    inference(spm,[status(thm)],[c_0_989,c_0_990]) ).

cnf(c_0_1010,plain,
    ( op2(e22,e20) = e21
    | op2(e22,e21) = e21
    | op2(e22,e22) = e21
    | op2(e22,e23) = e21 ),
    i_0_78 ).

cnf(c_0_1011,plain,
    ( op1(e10,e13) = e13
    | op1(e12,e13) = e13
    | op1(e13,e13) = e13 ),
    inference(sr,[status(thm)],[c_0_991,c_0_992]) ).

cnf(c_0_1012,plain,
    op1(e12,e13) != op1(e12,e12),
    i_0_103 ).

cnf(c_0_1013,plain,
    op1(e12,e12) = e13,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_973,c_0_993]),c_0_993]) ).

cnf(c_0_1014,plain,
    ( op1(e12,e13) = e12
    | op1(e12,e12) = e12
    | op1(e12,e10) = e12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_994,c_0_715]),c_0_720]) ).

cnf(c_0_1015,plain,
    ( op1(e13,e12) = e10
    | op1(e10,e10) != e10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_995,c_0_927]),c_0_740]) ).

cnf(c_0_1016,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e10) = e12 ),
    inference(sr,[status(thm)],[c_0_996,c_0_997]) ).

cnf(c_0_1017,plain,
    ( op1(e10,e11) = e13
    | op1(e10,e12) = e10
    | op1(e10,e12) = e12
    | op1(e12,e12) != e13 ),
    inference(spm,[status(thm)],[c_0_848,c_0_998]) ).

cnf(c_0_1018,plain,
    ( op1(e10,e10) = e12
    | op1(e10,e12) != e10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_999,c_0_1000]),c_0_736]) ).

cnf(c_0_1019,plain,
    op1(e10,e10) = e10,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_973,c_0_812]),c_0_951]) ).

cnf(c_0_1020,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    i_0_3 ).

cnf(c_0_1021,plain,
    op1(e13,e11) != e12,
    inference(rw,[status(thm)],[c_0_1001,c_0_713]) ).

cnf(c_0_1022,plain,
    ( op2(e20,e23) = e23
    | op2(e21,e23) = e23
    | op2(e22,e23) = e23
    | op2(e23,e23) = e23 ),
    i_0_65 ).

cnf(c_0_1023,plain,
    op2(e21,e23) != e23,
    inference(rw,[status(thm)],[c_0_1002,c_0_751]) ).

cnf(c_0_1024,plain,
    op2(e23,e20) = e22,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1003,c_0_1004]),c_0_757]) ).

cnf(c_0_1025,plain,
    ( op2(e23,e22) = e22
    | op2(e23,e22) = e21
    | op2(e23,e21) = e21
    | op2(e20,e22) != e20 ),
    inference(spm,[status(thm)],[c_0_1005,c_0_1006]) ).

cnf(c_0_1026,plain,
    op2(e23,e21) = e23,
    inference(sr,[status(thm)],[c_0_877,c_0_1007]) ).

cnf(c_0_1027,plain,
    op2(e23,e22) != e21,
    inference(rw,[status(thm)],[c_0_1008,c_0_941]) ).

cnf(c_0_1028,plain,
    ( op2(e23,e22) = e20
    | op2(e23,e20) = e20 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1009,c_0_941]),c_0_798]) ).

cnf(c_0_1029,plain,
    ( op2(e22,e20) = e22
    | op2(e22,e21) = e22
    | op2(e22,e22) = e22
    | op2(e22,e23) = e22 ),
    i_0_76 ).

cnf(c_0_1030,plain,
    ( op2(e22,e23) = e21
    | op2(e22,e22) = e21
    | op2(e22,e20) = e21 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1010,c_0_743]),c_0_798]) ).

cnf(c_0_1031,plain,
    op2(e22,e23) != e21,
    inference(rw,[status(thm)],[c_0_819,c_0_968]) ).

cnf(c_0_1032,plain,
    ( epred5_0
    | h3(e10) != e20
    | h3(e11) != e22
    | h3(e13) != e21
    | op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
    | op2(h3(e10),h3(e11)) != h3(op1(e10,e11))
    | op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
    | op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
    | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))
    | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))
    | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))
    | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))
    | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
    | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))
    | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
    | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
    | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
    | op2(h3(e13),h3(e11)) != h3(op1(e13,e11))
    | op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
    | op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) ),
    i_0_573 ).

cnf(c_0_1033,plain,
    h3(e11) = e22,
    i_0_246 ).

cnf(c_0_1034,plain,
    op2(op2(e22,e22),e22) = h3(e10),
    i_0_245 ).

cnf(c_0_1035,plain,
    op2(e22,op2(op2(e22,e22),e22)) = h3(e13),
    i_0_243 ).

cnf(c_0_1036,plain,
    op2(e22,e22) = h3(e12),
    i_0_244 ).

cnf(c_0_1037,plain,
    ( op1(e10,e13) = e13
    | op1(e12,e13) = e13 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1011,c_0_946]),c_0_737]) ).

cnf(c_0_1038,plain,
    op1(e12,e13) != e13,
    inference(rw,[status(thm)],[c_0_1012,c_0_1013]) ).

cnf(c_0_1039,plain,
    ( op1(e12,e13) = e12
    | op1(e12,e12) = e12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1014,c_0_1000]),c_0_736]) ).

cnf(c_0_1040,plain,
    ( op1(e10,e10) = e12
    | op1(e13,e12) = e10 ),
    inference(spm,[status(thm)],[c_0_1015,c_0_1016]) ).

cnf(c_0_1041,plain,
    ( op1(e10,e12) = e12
    | op1(e10,e12) = e10
    | op1(e12,e12) != e13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1017,c_0_979]),c_0_737]) ).

cnf(c_0_1042,plain,
    op1(e10,e12) != e10,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1018,c_0_1019]),c_0_720]) ).

cnf(c_0_1043,plain,
    ( op1(e13,e11) = e13
    | op1(e13,e11) = e11 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1020,c_0_937]),c_0_1021]) ).

cnf(c_0_1044,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    i_0_85 ).

cnf(c_0_1045,plain,
    op2(e23,e22) != op2(e23,e20),
    i_0_149 ).

cnf(c_0_1046,plain,
    ( op2(e20,e23) = e23
    | op2(e22,e23) = e23
    | op2(e23,e23) = e23 ),
    inference(sr,[status(thm)],[c_0_1022,c_0_1023]) ).

cnf(c_0_1047,plain,
    op2(e22,e23) != op2(e22,e22),
    i_0_151 ).

cnf(c_0_1048,plain,
    op2(e22,e22) = e23,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1003,c_0_1024]),c_0_1024]) ).

cnf(c_0_1049,plain,
    op2(e22,e22) != op2(e20,e22),
    i_0_179 ).

cnf(c_0_1050,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e22) = e21
    | op2(e20,e22) = e22
    | op2(e20,e22) = e23 ),
    i_0_62 ).

cnf(c_0_1051,plain,
    ( op2(e23,e22) = e22
    | op2(e20,e22) != e20 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1025,c_0_1026]),c_0_1027]),c_0_860]) ).

cnf(c_0_1052,plain,
    op2(e23,e22) = e20,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1003,c_0_1028]),c_0_757]) ).

cnf(c_0_1053,plain,
    op2(e21,e22) != op2(e20,e22),
    i_0_180 ).

cnf(c_0_1054,plain,
    ( op2(e22,e23) = e22
    | op2(e22,e22) = e22
    | op2(e22,e20) = e22 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1029,c_0_743]),c_0_818]) ).

cnf(c_0_1055,plain,
    op2(e22,e20) = e21,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1030,c_0_954]),c_0_1031]) ).

cnf(c_0_1056,negated_conjecture,
    ( h3(e12) != e23
    | ~ epred5_0 ),
    i_0_256 ).

cnf(c_0_1057,plain,
    ( epred5_0
    | op2(op2(e22,op2(op2(e22,e22),e22)),op2(e22,op2(op2(e22,e22),e22))) != h3(op1(e13,e13))
    | op2(op2(op2(e22,e22),e22),op2(e22,op2(op2(e22,e22),e22))) != h3(op1(e10,e13))
    | op2(op2(e22,op2(op2(e22,e22),e22)),op2(op2(e22,e22),e22)) != h3(op1(e13,e10))
    | op2(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) != h3(op1(e10,e10))
    | op2(op2(e22,e22),op2(e22,op2(op2(e22,e22),e22))) != h3(op1(e12,e13))
    | op2(op2(e22,op2(op2(e22,e22),e22)),op2(e22,e22)) != h3(op1(e13,e12))
    | h3(op1(e11,e13)) != op2(e22,op2(e22,op2(op2(e22,e22),e22)))
    | h3(op1(e10,e12)) != op2(op2(op2(e22,e22),e22),op2(e22,e22))
    | h3(op1(e12,e10)) != op2(op2(e22,e22),op2(op2(e22,e22),e22))
    | h3(op1(e13,e11)) != op2(op2(e22,op2(op2(e22,e22),e22)),e22)
    | h3(op1(e10,e11)) != op2(op2(op2(e22,e22),e22),e22)
    | h3(op1(e12,e12)) != op2(op2(e22,e22),op2(e22,e22))
    | h3(op1(e11,e12)) != op2(e22,op2(e22,e22))
    | op2(e22,op2(op2(e22,e22),e22)) != e21
    | op2(op2(e22,e22),e22) != e20 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_1032,c_0_1033]),c_0_1034]),c_0_1035]),c_0_1033]),c_0_1033]),c_0_713]),c_0_1036]),c_0_1033]),c_0_1034]),c_0_719]),c_0_1035]),c_0_1033]),c_0_1036]),c_0_1033]),c_0_1035]),c_0_1034]),c_0_1033]),c_0_1034]),c_0_1034]),c_0_1034]),c_0_1036]),c_0_1034]),c_0_1035]),c_0_1036]),c_0_1033]),c_0_715]),c_0_1034]),c_0_1036]),c_0_1034]),c_0_1036]),c_0_1036]),c_0_1036]),c_0_1035]),c_0_1035]),c_0_1033]),c_0_1035]),c_0_1034]),c_0_1035]),c_0_1036]),c_0_1035]),c_0_1035])]) ).

cnf(c_0_1058,plain,
    op1(e10,e13) = e13,
    inference(sr,[status(thm)],[c_0_1037,c_0_1038]) ).

cnf(c_0_1059,plain,
    op1(e12,e13) = e12,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1039,c_0_1013]),c_0_767]) ).

cnf(c_0_1060,plain,
    op1(e13,e12) = e10,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1040,c_0_1019]),c_0_720]) ).

cnf(c_0_1061,plain,
    op1(e11,e13) = e10,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_728,c_0_927]),c_0_740]) ).

cnf(c_0_1062,plain,
    op1(e10,e12) = e12,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1041,c_0_1013])]),c_0_1042]) ).

cnf(c_0_1063,plain,
    op1(e13,e11) = e13,
    inference(sr,[status(thm)],[c_0_1043,c_0_961]) ).

cnf(c_0_1064,plain,
    ( op2(e23,e21) = e21
    | op2(e20,e21) = e21 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1044,c_0_734]),c_0_743]),c_0_800]),c_0_798]) ).

cnf(c_0_1065,plain,
    ( op2(e20,e20) = e20
    | op2(e23,e22) != e20 ),
    inference(spm,[status(thm)],[c_0_1045,c_0_883]) ).

cnf(c_0_1066,plain,
    ( op2(e20,e23) = e23
    | op2(e22,e23) = e23 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1046,c_0_968]),c_0_860]) ).

cnf(c_0_1067,plain,
    op2(e22,e23) != e23,
    inference(rw,[status(thm)],[c_0_1047,c_0_1048]) ).

cnf(c_0_1068,plain,
    ( op2(e20,e22) = e22
    | op2(e20,e22) = e20
    | op2(e20,e22) = e21
    | op2(e22,e22) != e23 ),
    inference(spm,[status(thm)],[c_0_1049,c_0_1050]) ).

cnf(c_0_1069,plain,
    op2(e20,e22) != e20,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1051,c_0_1052]),c_0_818]) ).

cnf(c_0_1070,plain,
    op2(e20,e22) != e21,
    inference(rw,[status(thm)],[c_0_1053,c_0_941]) ).

cnf(c_0_1071,plain,
    ( op2(e22,e23) = e22
    | op2(e22,e22) = e22 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1054,c_0_1055]),c_0_800]) ).

cnf(c_0_1072,negated_conjecture,
    ( op2(e22,e22) != e23
    | ~ epred5_0 ),
    inference(rw,[status(thm)],[c_0_1056,c_0_1036]) ).

cnf(c_0_1073,plain,
    ( epred5_0
    | op2(op2(op2(e22,e22),e22),op2(e22,op2(op2(e22,e22),e22))) != op2(e22,op2(op2(e22,e22),e22))
    | op2(op2(e22,op2(op2(e22,e22),e22)),op2(e22,op2(op2(e22,e22),e22))) != e22
    | op2(op2(e22,op2(op2(e22,e22),e22)),op2(op2(e22,e22),e22)) != op2(e22,e22)
    | op2(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) != op2(op2(e22,e22),e22)
    | op2(op2(e22,op2(op2(e22,e22),e22)),op2(e22,e22)) != op2(op2(e22,e22),e22)
    | op2(op2(e22,op2(op2(e22,e22),e22)),e22) != op2(e22,op2(op2(e22,e22),e22))
    | op2(op2(e22,e22),op2(e22,op2(op2(e22,e22),e22))) != op2(e22,e22)
    | op2(e22,op2(e22,op2(op2(e22,e22),e22))) != op2(op2(e22,e22),e22)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e22,op2(op2(e22,e22),e22))
    | op2(op2(op2(e22,e22),e22),op2(e22,e22)) != op2(e22,e22)
    | op2(op2(e22,e22),op2(op2(e22,e22),e22)) != e22
    | op2(op2(op2(e22,e22),e22),e22) != e22
    | op2(e22,op2(op2(e22,e22),e22)) != e21
    | op2(e22,op2(e22,e22)) != e22
    | op2(op2(e22,e22),e22) != e20 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_1057,c_0_927]),c_0_1033]),c_0_946]),c_0_1033]),c_0_1058]),c_0_1035]),c_0_993]),c_0_1036]),c_0_1019]),c_0_1034]),c_0_1059]),c_0_1036]),c_0_1060]),c_0_1034]),c_0_1061]),c_0_1034]),c_0_1062]),c_0_1036]),c_0_1000]),c_0_1033]),c_0_1063]),c_0_1035]),c_0_979]),c_0_1033]),c_0_1013]),c_0_1035]) ).

cnf(c_0_1074,plain,
    op2(e20,e21) = e21,
    inference(sr,[status(thm)],[c_0_1064,c_0_1007]) ).

cnf(c_0_1075,plain,
    op2(e21,e23) = e20,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_990,c_0_941]),c_0_798]) ).

cnf(c_0_1076,plain,
    op2(e20,e20) = e20,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1065,c_0_1052])]) ).

cnf(c_0_1077,plain,
    op2(e20,e23) = e23,
    inference(sr,[status(thm)],[c_0_1066,c_0_1067]) ).

cnf(c_0_1078,plain,
    op2(e20,e22) = e22,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1068,c_0_1048])]),c_0_1069]),c_0_1070]) ).

cnf(c_0_1079,plain,
    op2(e22,e23) = e22,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1071,c_0_1048]),c_0_861]) ).

cnf(c_0_1080,negated_conjecture,
    ~ epred5_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1072,c_0_1048])]) ).

cnf(c_0_1081,plain,
    $false,
    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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_1073,c_0_1048]),c_0_1052]),c_0_1048]),c_0_1052]),c_0_1055]),c_0_1074]),c_0_1048]),c_0_1052]),c_0_1055]),c_0_1048]),c_0_1052]),c_0_1055]),c_0_1048]),c_0_1052]),c_0_1055]),c_0_734]),c_0_1048]),c_0_1052]),c_0_1055]),c_0_1048]),c_0_1052]),c_0_751]),c_0_1048]),c_0_1048]),c_0_1052]),c_0_1048]),c_0_1052]),c_0_1048]),c_0_1052]),c_0_1048]),c_0_1052]),c_0_1055]),c_0_1048]),c_0_1075]),c_0_1048]),c_0_1052]),c_0_1048]),c_0_1052]),c_0_1055]),c_0_941]),c_0_1048]),c_0_1052]),c_0_1055]),c_0_1048]),c_0_1048]),c_0_1052]),c_0_1055]),c_0_1026]),c_0_1048]),c_0_1048]),c_0_1052]),c_0_1055]),c_0_743]),c_0_1048]),c_0_1052]),c_0_1048]),c_0_1048]),c_0_968]),c_0_1048]),c_0_1052]),c_0_1055]),c_0_1048]),c_0_1052]),c_0_1048]),c_0_1048]),c_0_1048]),c_0_1048]),c_0_1052]),c_0_1024]),c_0_1048]),c_0_1052]),c_0_1048]),c_0_1052]),c_0_1055]),c_0_1048]),c_0_1048]),c_0_1052])]),c_0_1076]),c_0_1077]),c_0_1078]),c_0_1079])]),c_0_1080]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ALG112+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun  8 13:54:24 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.21/0.46  # ENIGMATIC: Selected complete mode:
% 10.94/3.06  # ENIGMATIC: Solved by autoschedule-lgb:
% 10.94/3.06  # No SInE strategy applied
% 10.94/3.06  # Trying AutoSched0 for 150 seconds
% 10.94/3.06  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 10.94/3.06  # and selection function SelectNewComplexAHP.
% 10.94/3.06  #
% 10.94/3.06  # Preprocessing time       : 0.051 s
% 10.94/3.06  # Presaturation interreduction done
% 10.94/3.06  
% 10.94/3.06  # Proof found!
% 10.94/3.06  # SZS status Theorem
% 10.94/3.06  # SZS output start CNFRefutation
% See solution above
% 10.94/3.07  # Training examples: 0 positive, 0 negative
% 10.94/3.07  
% 10.94/3.07  # -------------------------------------------------
% 10.94/3.07  # User time                : 0.417 s
% 10.94/3.07  # System time              : 0.010 s
% 10.94/3.07  # Total time               : 0.427 s
% 10.94/3.07  # Maximum resident set size: 7120 pages
% 10.94/3.07  
%------------------------------------------------------------------------------