↑ Up

Enigma---0.5.1.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG136+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 15:07:10 EDT 2022

% Result   : Unsatisfiable 13.25s 3.04s
% Output   : CNFRefutation 13.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   76
%            Number of leaves      :  128
% Syntax   : Number of clauses     :  566 ( 117 unt; 328 nHn; 566 RR)
%            Number of literals    : 1635 (1634 equ; 468 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_11,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_11) ).

cnf(i_0_145,plain,
    op(e1,e1) != e1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_145) ).

cnf(i_0_153,plain,
    ( op(e0,e3) != e0
    | op(e1,e1) != e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_153) ).

cnf(i_0_48,plain,
    ( op(e0,e0) = e0
    | op(e0,e1) = e0
    | op(e0,e2) = e0
    | op(e0,e3) = e0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_48) ).

cnf(i_0_166,plain,
    op(e0,e0) != e0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_166) ).

cnf(i_0_121,plain,
    ( op(e1,e1) != e3
    | op(e2,e3) != e2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_121) ).

cnf(i_0_28,plain,
    ( op(e2,e0) = e2
    | op(e2,e1) = e2
    | op(e2,e2) = e2
    | op(e2,e3) = e2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_28) ).

cnf(i_0_124,plain,
    op(e2,e2) != e2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_124) ).

cnf(i_0_1,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_1) ).

cnf(i_0_103,plain,
    op(e3,e3) != e3,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_103) ).

cnf(i_0_50,plain,
    op(e3,e3) != op(e3,e1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_50) ).

cnf(i_0_155,plain,
    ( op(e0,e2) != e0
    | op(e3,e3) != e2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_155) ).

cnf(i_0_131,plain,
    ( op(e2,e0) != e2
    | op(e3,e3) != e0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_131) ).

cnf(i_0_35,plain,
    ( op(e0,e1) = e2
    | op(e1,e1) = e2
    | op(e2,e1) = e2
    | op(e3,e1) = e2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_35) ).

cnf(i_0_87,plain,
    op(e2,e1) != op(e1,e1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_87) ).

cnf(i_0_7,plain,
    ( op(e2,e1) = e0
    | op(e2,e1) = e1
    | op(e2,e1) = e2
    | op(e2,e1) = e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_7) ).

cnf(i_0_181,plain,
    ( op(e3,e3) != e1
    | op(e3,op(e3,e3)) != e2
    | op(op(e3,op(e3,e3)),op(e3,e3)) != e0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_181) ).

cnf(i_0_127,plain,
    ( op(e2,e1) != e2
    | op(e3,e3) != e1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_127) ).

cnf(i_0_39,plain,
    ( op(e0,e1) = e0
    | op(e1,e1) = e0
    | op(e2,e1) = e0
    | op(e3,e1) = e0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_39) ).

cnf(i_0_86,plain,
    op(e3,e1) != op(e1,e1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_86) ).

cnf(i_0_3,plain,
    ( op(e3,e1) = e0
    | op(e3,e1) = e1
    | op(e3,e1) = e2
    | op(e3,e1) = e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_3) ).

cnf(i_0_90,plain,
    op(e1,e1) != op(e0,e1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_90) ).

cnf(i_0_15,plain,
    ( op(e0,e1) = e0
    | op(e0,e1) = e1
    | op(e0,e1) = e2
    | op(e0,e1) = e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_15) ).

cnf(i_0_101,plain,
    e2 != e0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_101) ).

cnf(i_0_167,plain,
    ( op(e3,e3) != e1
    | op(e3,op(e3,e3)) != e0
    | op(op(e3,op(e3,e3)),op(e3,e3)) != e2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_167) ).

cnf(i_0_88,plain,
    op(e3,e1) != op(e0,e1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_88) ).

cnf(i_0_89,plain,
    op(e2,e1) != op(e0,e1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_89) ).

cnf(i_0_85,plain,
    op(e3,e1) != op(e2,e1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_85) ).

cnf(i_0_16,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_16) ).

cnf(i_0_70,plain,
    op(e0,e3) != op(e0,e0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_70) ).

cnf(i_0_13,plain,
    ( op(e0,e3) = e0
    | op(e0,e3) = e1
    | op(e0,e3) = e2
    | op(e0,e3) = e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_13) ).

cnf(i_0_154,plain,
    ( op(e0,e0) != e3
    | op(e0,e3) != e0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_154) ).

cnf(i_0_27,plain,
    ( op(e0,e2) = e2
    | op(e1,e2) = e2
    | op(e2,e2) = e2
    | op(e3,e2) = e2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_27) ).

cnf(i_0_18,plain,
    ( op(e3,e0) = e3
    | op(e3,e1) = e3
    | op(e3,e2) = e3
    | op(e3,e3) = e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_18) ).

cnf(i_0_184,plain,
    ( op(e0,e0) != e3
    | op(e0,op(e0,e0)) != e2
    | op(op(e0,op(e0,e0)),op(e0,e0)) != e1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_184) ).

cnf(i_0_159,plain,
    ( op(e0,e1) != e0
    | op(e3,e3) != e1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_159) ).

cnf(i_0_137,plain,
    ( op(e1,e1) != e3
    | op(e1,e3) != e1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_137) ).

cnf(i_0_38,plain,
    ( op(e1,e0) = e1
    | op(e1,e1) = e1
    | op(e1,e2) = e1
    | op(e1,e3) = e1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_38) ).

cnf(i_0_17,plain,
    ( op(e0,e3) = e3
    | op(e1,e3) = e3
    | op(e2,e3) = e3
    | op(e3,e3) = e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_17) ).

cnf(i_0_97,plain,
    e3 != e2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_97) ).

cnf(i_0_49,plain,
    op(e3,e3) != op(e3,e2),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_49) ).

cnf(i_0_21,plain,
    ( op(e0,e3) = e1
    | op(e1,e3) = e1
    | op(e2,e3) = e1
    | op(e3,e3) = e1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_21) ).

cnf(i_0_162,plain,
    ( op(e0,e0) != e1
    | op(e0,e1) != e0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_162) ).

cnf(i_0_62,plain,
    op(e1,e3) != op(e1,e1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_62) ).

cnf(i_0_9,plain,
    ( op(e1,e3) = e0
    | op(e1,e3) = e1
    | op(e1,e3) = e2
    | op(e1,e3) = e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_9) ).

cnf(i_0_66,plain,
    op(e1,e1) != op(e1,e0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_66) ).

cnf(i_0_12,plain,
    ( op(e1,e0) = e0
    | op(e1,e0) = e1
    | op(e1,e0) = e2
    | op(e1,e0) = e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_12) ).

cnf(i_0_58,plain,
    op(e2,e3) != op(e2,e0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_58) ).

cnf(i_0_55,plain,
    op(e2,e3) != op(e2,e2),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_55) ).

cnf(i_0_6,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_6) ).

cnf(i_0_115,plain,
    ( op(e3,e0) != e3
    | op(e3,e3) != e0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_115) ).

cnf(i_0_178,plain,
    ( op(e0,e0) != e3
    | op(e0,op(e0,e0)) != e1
    | op(op(e0,op(e0,e0)),op(e0,e0)) != e2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_178) ).

cnf(i_0_139,plain,
    ( op(e1,e2) != e1
    | op(e3,e3) != e2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_139) ).

cnf(i_0_93,plain,
    op(e2,e0) != op(e1,e0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_93) ).

cnf(i_0_8,plain,
    ( op(e2,e0) = e0
    | op(e2,e0) = e1
    | op(e2,e0) = e2
    | op(e2,e0) = e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_8) ).

cnf(i_0_64,plain,
    op(e1,e3) != op(e1,e0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_64) ).

cnf(i_0_132,plain,
    ( op(e2,e0) != e2
    | op(e2,e2) != e0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_132) ).

cnf(i_0_59,plain,
    op(e2,e2) != op(e2,e0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_59) ).

cnf(i_0_142,plain,
    ( op(e0,e0) != e2
    | op(e1,e2) != e1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_142) ).

cnf(i_0_74,plain,
    op(e3,e3) != op(e1,e3),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_74) ).

cnf(i_0_160,plain,
    ( op(e0,e1) != e0
    | op(e2,e2) != e1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_160) ).

cnf(i_0_107,plain,
    ( op(e3,e2) != e3
    | op(e3,e3) != e2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_107) ).

cnf(i_0_177,plain,
    ( op(e2,e2) != e3
    | op(e2,op(e2,e2)) != e1
    | op(op(e2,op(e2,e2)),op(e2,e2)) != e0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_177) ).

cnf(i_0_71,plain,
    op(e0,e2) != op(e0,e0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_71) ).

cnf(i_0_61,plain,
    op(e1,e3) != op(e1,e2),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_61) ).

cnf(i_0_20,plain,
    ( op(e3,e0) = e2
    | op(e3,e1) = e2
    | op(e3,e2) = e2
    | op(e3,e3) = e2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_20) ).

cnf(i_0_149,plain,
    ( op(e1,e0) != e1
    | op(e1,e1) != e0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_149) ).

cnf(i_0_148,plain,
    ( op(e1,e0) != e1
    | op(e2,e2) != e0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_148) ).

cnf(i_0_29,plain,
    ( op(e0,e2) = e1
    | op(e1,e2) = e1
    | op(e2,e2) = e1
    | op(e3,e2) = e1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_29) ).

cnf(i_0_99,plain,
    e2 != e1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_99) ).

cnf(i_0_112,plain,
    ( op(e2,e2) != e1
    | op(e3,e1) != e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_112) ).

cnf(i_0_94,plain,
    op(e3,e0) != op(e0,e0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_94) ).

cnf(i_0_98,plain,
    e3 != e1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_98) ).

cnf(i_0_138,plain,
    ( op(e0,e0) != e3
    | op(e1,e3) != e1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_138) ).

cnf(i_0_122,plain,
    ( op(e0,e0) != e3
    | op(e2,e3) != e2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_122) ).

cnf(i_0_152,plain,
    ( op(e0,e3) != e0
    | op(e2,e2) != e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_152) ).

cnf(i_0_100,plain,
    e3 != e0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_100) ).

cnf(i_0_91,plain,
    op(e3,e0) != op(e2,e0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_91) ).

cnf(i_0_76,plain,
    op(e3,e3) != op(e0,e3),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_76) ).

cnf(i_0_109,plain,
    ( op(e1,e1) != e2
    | op(e3,e2) != e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_109) ).

cnf(i_0_176,plain,
    ( op(e0,e0) != e2
    | op(e0,op(e0,e0)) != e1
    | op(op(e0,op(e0,e0)),op(e0,e0)) != e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_176) ).

cnf(i_0_81,plain,
    op(e2,e2) != op(e1,e2),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_81) ).

cnf(i_0_116,plain,
    ( op(e2,e2) != e0
    | op(e3,e0) != e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_116) ).

cnf(i_0_157,plain,
    ( op(e0,e2) != e0
    | op(e1,e1) != e2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_157) ).

cnf(i_0_10,plain,
    ( op(e1,e2) = e0
    | op(e1,e2) = e1
    | op(e1,e2) = e2
    | op(e1,e2) = e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_10) ).

cnf(i_0_80,plain,
    op(e3,e2) != op(e1,e2),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_80) ).

cnf(i_0_136,plain,
    ( op(e1,e3) != e1
    | op(e2,e2) != e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_136) ).

cnf(i_0_111,plain,
    ( op(e3,e1) != e3
    | op(e3,e3) != e1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_111) ).

cnf(i_0_37,plain,
    ( op(e0,e1) = e1
    | op(e1,e1) = e1
    | op(e2,e1) = e1
    | op(e3,e1) = e1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_37) ).

cnf(i_0_114,plain,
    ( op(e0,e0) != e1
    | op(e3,e1) != e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_114) ).

cnf(i_0_102,plain,
    e1 != e0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_102) ).

cnf(i_0_57,plain,
    op(e2,e2) != op(e2,e1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_57) ).

cnf(i_0_168,plain,
    ( op(e2,e2) != e1
    | op(e2,op(e2,e2)) != e0
    | op(op(e2,op(e2,e2)),op(e2,e2)) != e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_168) ).

cnf(i_0_141,plain,
    ( op(e1,e1) != e2
    | op(e1,e2) != e1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_141) ).

cnf(i_0_72,plain,
    op(e0,e1) != op(e0,e0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_72) ).

cnf(i_0_63,plain,
    op(e1,e2) != op(e1,e1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_63) ).

cnf(i_0_47,plain,
    ( op(e0,e0) = e0
    | op(e1,e0) = e0
    | op(e2,e0) = e0
    | op(e3,e0) = e0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_47) ).

cnf(i_0_187,plain,
    ( op(e2,e2) != e1
    | op(e2,op(e2,e2)) != e3
    | op(op(e2,op(e2,e2)),op(e2,e2)) != e0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_187) ).

cnf(i_0_60,plain,
    op(e2,e1) != op(e2,e0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_60) ).

cnf(i_0_2,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e1
    | op(e3,e2) = e2
    | op(e3,e2) = e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_2) ).

cnf(i_0_189,plain,
    ( op(e1,e1) != e2
    | op(e1,op(e1,e1)) != e3
    | op(op(e1,op(e1,e1)),op(e1,e1)) != e0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_189) ).

cnf(i_0_147,plain,
    ( op(e1,e0) != e1
    | op(e3,e3) != e0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_147) ).

cnf(i_0_31,plain,
    ( op(e0,e2) = e0
    | op(e1,e2) = e0
    | op(e2,e2) = e0
    | op(e3,e2) = e0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_31) ).

cnf(i_0_65,plain,
    op(e1,e2) != op(e1,e0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_65) ).

cnf(i_0_79,plain,
    op(e3,e2) != op(e2,e2),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_79) ).

cnf(i_0_175,plain,
    ( op(e3,e3) != e2
    | op(e3,op(e3,e3)) != e1
    | op(op(e3,op(e3,e3)),op(e3,e3)) != e0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_175) ).

cnf(i_0_186,plain,
    ( op(e1,e1) != e0
    | op(e1,op(e1,e1)) != e3
    | op(op(e1,op(e1,e1)),op(e1,e1)) != e2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_186) ).

cnf(i_0_133,plain,
    ( op(e1,e1) != e0
    | op(e2,e0) != e2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_133) ).

cnf(i_0_43,plain,
    ( op(e0,e0) = e2
    | op(e1,e0) = e2
    | op(e2,e0) = e2
    | op(e3,e0) = e2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_43) ).

cnf(i_0_73,plain,
    op(e3,e3) != op(e2,e3),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_73) ).

cnf(i_0_22,plain,
    ( op(e3,e0) = e1
    | op(e3,e1) = e1
    | op(e3,e2) = e1
    | op(e3,e3) = e1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_22) ).

cnf(i_0_117,plain,
    ( op(e1,e1) != e0
    | op(e3,e0) != e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_117) ).

cnf(i_0_110,plain,
    ( op(e0,e0) != e2
    | op(e3,e2) != e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_110) ).

cnf(i_0_26,plain,
    ( op(e2,e0) = e3
    | op(e2,e1) = e3
    | op(e2,e2) = e3
    | op(e2,e3) = e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_26) ).

cnf(i_0_52,plain,
    op(e3,e3) != op(e3,e0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_52) ).

cnf(i_0_83,plain,
    op(e2,e2) != op(e0,e2),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_83) ).

cnf(i_0_92,plain,
    op(e3,e0) != op(e1,e0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_92) ).

cnf(i_0_120,plain,
    ( op(e2,e2) != e3
    | op(e2,e3) != e2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_120) ).

cnf(i_0_96,plain,
    op(e1,e0) != op(e0,e0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_96) ).

cnf(i_0_188,plain,
    ( op(e0,e0) != e1
    | op(e0,op(e0,e0)) != e3
    | op(op(e0,op(e0,e0)),op(e0,e0)) != e2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_188) ).

cnf(i_0_128,plain,
    ( op(e2,e1) != e2
    | op(e2,e2) != e1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_128) ).

cnf(i_0_185,plain,
    ( op(e2,e2) != e0
    | op(e2,op(e2,e2)) != e3
    | op(op(e2,op(e2,e2)),op(e2,e2)) != e1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_185) ).

cnf(i_0_45,plain,
    ( op(e0,e0) = e1
    | op(e1,e0) = e1
    | op(e2,e0) = e1
    | op(e3,e0) = e1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_45) ).

cnf(i_0_34,plain,
    ( op(e1,e0) = e3
    | op(e1,e1) = e3
    | op(e1,e2) = e3
    | op(e1,e3) = e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_34) ).

cnf(i_0_174,plain,
    ( op(e2,e2) != e0
    | op(e2,op(e2,e2)) != e1
    | op(op(e2,op(e2,e2)),op(e2,e2)) != e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_174) ).

cnf(i_0_68,plain,
    op(e0,e3) != op(e0,e1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_68) ).

cnf(i_0_4,plain,
    ( op(e3,e0) = e0
    | op(e3,e0) = e1
    | op(e3,e0) = e2
    | op(e3,e0) = e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_4) ).

cnf(i_0_82,plain,
    op(e3,e2) != op(e0,e2),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y1lig7rx/input.p',i_0_82) ).

cnf(c_0_318,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3 ),
    i_0_11 ).

cnf(c_0_319,plain,
    op(e1,e1) != e1,
    i_0_145 ).

cnf(c_0_320,plain,
    ( op(e0,e3) != e0
    | op(e1,e1) != e3 ),
    i_0_153 ).

cnf(c_0_321,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e2
    | op(e1,e1) = e3 ),
    inference(sr,[status(thm)],[c_0_318,c_0_319]) ).

cnf(c_0_322,plain,
    ( op(e0,e0) = e0
    | op(e0,e1) = e0
    | op(e0,e2) = e0
    | op(e0,e3) = e0 ),
    i_0_48 ).

cnf(c_0_323,plain,
    op(e0,e0) != e0,
    i_0_166 ).

cnf(c_0_324,plain,
    ( op(e1,e1) != e3
    | op(e2,e3) != e2 ),
    i_0_121 ).

cnf(c_0_325,plain,
    ( op(e2,e0) = e2
    | op(e2,e1) = e2
    | op(e2,e2) = e2
    | op(e2,e3) = e2 ),
    i_0_28 ).

cnf(c_0_326,plain,
    op(e2,e2) != e2,
    i_0_124 ).

cnf(c_0_327,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3 ),
    i_0_1 ).

cnf(c_0_328,plain,
    op(e3,e3) != e3,
    i_0_103 ).

cnf(c_0_329,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e0,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_320,c_0_321]) ).

cnf(c_0_330,plain,
    ( op(e0,e3) = e0
    | op(e0,e2) = e0
    | op(e0,e1) = e0 ),
    inference(sr,[status(thm)],[c_0_322,c_0_323]) ).

cnf(c_0_331,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e2,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_324,c_0_321]) ).

cnf(c_0_332,plain,
    ( op(e2,e3) = e2
    | op(e2,e0) = e2
    | op(e2,e1) = e2 ),
    inference(sr,[status(thm)],[c_0_325,c_0_326]) ).

cnf(c_0_333,plain,
    op(e3,e3) != op(e3,e1),
    i_0_50 ).

cnf(c_0_334,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e0
    | op(e3,e3) = e1 ),
    inference(sr,[status(thm)],[c_0_327,c_0_328]) ).

cnf(c_0_335,plain,
    ( op(e0,e2) != e0
    | op(e3,e3) != e2 ),
    i_0_155 ).

cnf(c_0_336,plain,
    ( op(e0,e1) = e0
    | op(e0,e2) = e0
    | op(e1,e1) = e0
    | op(e1,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_329,c_0_330]) ).

cnf(c_0_337,plain,
    ( op(e2,e0) != e2
    | op(e3,e3) != e0 ),
    i_0_131 ).

cnf(c_0_338,plain,
    ( op(e2,e1) = e2
    | op(e2,e0) = e2
    | op(e1,e1) = e0
    | op(e1,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_331,c_0_332]) ).

cnf(c_0_339,plain,
    ( op(e3,e3) = e1
    | op(e3,e3) = e0
    | op(e3,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_333,c_0_334]) ).

cnf(c_0_340,plain,
    ( op(e0,e1) = e2
    | op(e1,e1) = e2
    | op(e2,e1) = e2
    | op(e3,e1) = e2 ),
    i_0_35 ).

cnf(c_0_341,plain,
    op(e2,e1) != op(e1,e1),
    i_0_87 ).

cnf(c_0_342,plain,
    ( op(e2,e1) = e0
    | op(e2,e1) = e1
    | op(e2,e1) = e2
    | op(e2,e1) = e3 ),
    i_0_7 ).

cnf(c_0_343,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e0,e1) = e0
    | op(e3,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_335,c_0_336]) ).

cnf(c_0_344,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e2,e1) = e2
    | op(e3,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_337,c_0_338]) ).

cnf(c_0_345,plain,
    ( op(e1,e1) = e2
    | op(e0,e1) = e2
    | op(e2,e1) = e2
    | op(e3,e3) = e0
    | op(e3,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_339,c_0_340]) ).

cnf(c_0_346,plain,
    ( op(e2,e1) = e1
    | op(e2,e1) = e0
    | op(e2,e1) = e2
    | op(e1,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_341,c_0_342]) ).

cnf(c_0_347,plain,
    ( op(e3,e3) = e1
    | op(e3,e3) = e0
    | op(e0,e1) = e0
    | op(e1,e1) = e0
    | op(e1,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_343,c_0_334]) ).

cnf(c_0_348,plain,
    ( op(e3,e3) != e1
    | op(e3,op(e3,e3)) != e2
    | op(op(e3,op(e3,e3)),op(e3,e3)) != e0 ),
    i_0_181 ).

cnf(c_0_349,plain,
    ( op(e3,e3) = e1
    | op(e0,e1) = e2
    | op(e2,e1) = e2
    | op(e1,e1) = e0
    | op(e1,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_344,c_0_345]) ).

cnf(c_0_350,plain,
    ( op(e2,e1) != e2
    | op(e3,e3) != e1 ),
    i_0_127 ).

cnf(c_0_351,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e2,e1) = e2
    | op(e2,e1) = e0
    | op(e2,e1) = e1 ),
    inference(spm,[status(thm)],[c_0_346,c_0_321]) ).

cnf(c_0_352,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e0,e1) = e0
    | op(e3,e3) = e1
    | op(e3,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_333,c_0_347]) ).

cnf(c_0_353,plain,
    ( op(e0,e1) = e0
    | op(e1,e1) = e0
    | op(e2,e1) = e0
    | op(e3,e1) = e0 ),
    i_0_39 ).

cnf(c_0_354,plain,
    op(e3,e1) != op(e1,e1),
    i_0_86 ).

cnf(c_0_355,plain,
    ( op(e3,e1) = e0
    | op(e3,e1) = e1
    | op(e3,e1) = e2
    | op(e3,e1) = e3 ),
    i_0_3 ).

cnf(c_0_356,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e2,e1) = e2
    | op(e0,e1) = e2
    | op(op(e3,e1),e1) != e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_349]),c_0_340]) ).

cnf(c_0_357,plain,
    ( op(e2,e1) = e1
    | op(e2,e1) = e0
    | op(e1,e1) = e0
    | op(e1,e1) = e2
    | op(e3,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_350,c_0_351]) ).

cnf(c_0_358,plain,
    ( op(e2,e1) = e0
    | op(e3,e3) = e1
    | op(e0,e1) = e0
    | op(e1,e1) = e0
    | op(e1,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_352,c_0_353]) ).

cnf(c_0_359,plain,
    op(e1,e1) != op(e0,e1),
    i_0_90 ).

cnf(c_0_360,plain,
    ( op(e0,e1) = e0
    | op(e0,e1) = e1
    | op(e0,e1) = e2
    | op(e0,e1) = e3 ),
    i_0_15 ).

cnf(c_0_361,plain,
    ( op(e3,e1) = e1
    | op(e3,e1) = e0
    | op(e3,e1) = e2
    | op(e1,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_354,c_0_355]) ).

cnf(c_0_362,plain,
    ( op(e0,e1) = e2
    | op(e2,e1) = e2
    | op(e1,e1) = e0
    | op(e1,e1) = e2
    | op(e2,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_356,c_0_340]) ).

cnf(c_0_363,plain,
    ( op(e0,e1) = e0
    | op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e2,e1) = e0
    | op(e2,e1) = e1 ),
    inference(spm,[status(thm)],[c_0_357,c_0_358]) ).

cnf(c_0_364,plain,
    e2 != e0,
    i_0_101 ).

cnf(c_0_365,plain,
    ( op(e0,e1) = e1
    | op(e0,e1) = e0
    | op(e0,e1) = e2
    | op(e1,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_359,c_0_360]) ).

cnf(c_0_366,plain,
    ( op(e3,e3) != e1
    | op(e3,op(e3,e3)) != e0
    | op(op(e3,op(e3,e3)),op(e3,e3)) != e2 ),
    i_0_167 ).

cnf(c_0_367,plain,
    op(e3,e1) != op(e0,e1),
    i_0_88 ).

cnf(c_0_368,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e3,e1) = e2
    | op(e3,e1) = e0
    | op(e3,e1) = e1 ),
    inference(spm,[status(thm)],[c_0_361,c_0_321]) ).

cnf(c_0_369,plain,
    op(e2,e1) != op(e0,e1),
    i_0_89 ).

cnf(c_0_370,plain,
    ( op(e2,e1) = e1
    | op(e0,e1) = e0
    | op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e0,e1) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_363]),c_0_364]) ).

cnf(c_0_371,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e0,e1) = e2
    | op(e0,e1) = e0
    | op(e0,e1) = e1 ),
    inference(spm,[status(thm)],[c_0_365,c_0_321]) ).

cnf(c_0_372,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e0,e1) = e0
    | op(e2,e1) = e0
    | op(op(e3,e1),e1) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_358]),c_0_353]) ).

cnf(c_0_373,plain,
    ( op(e3,e1) = e1
    | op(e3,e1) = e0
    | op(e1,e1) = e0
    | op(e1,e1) = e2
    | op(e0,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_367,c_0_368]) ).

cnf(c_0_374,plain,
    ( op(e0,e1) = e2
    | op(e1,e1) = e0
    | op(e1,e1) = e2
    | op(e0,e1) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_370]),c_0_371]) ).

cnf(c_0_375,plain,
    ( op(e2,e1) = e0
    | op(e0,e1) = e0
    | op(e1,e1) = e0
    | op(e1,e1) = e2
    | op(e0,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_372,c_0_353]) ).

cnf(c_0_376,plain,
    ( op(e0,e1) = e0
    | op(e3,e3) = e1
    | op(e2,e1) = e2
    | op(e1,e1) = e0
    | op(e1,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_344,c_0_347]) ).

cnf(c_0_377,plain,
    op(e3,e1) != op(e2,e1),
    i_0_85 ).

cnf(c_0_378,plain,
    ( op(e0,e1) = e0
    | op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e3,e1) = e0
    | op(e3,e1) = e1 ),
    inference(spm,[status(thm)],[c_0_373,c_0_374]) ).

cnf(c_0_379,plain,
    ( op(e0,e1) = e0
    | op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e2,e1) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_374]),c_0_364]) ).

cnf(c_0_380,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e2,e1) = e2
    | op(e0,e1) = e0
    | op(e3,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_333,c_0_376]) ).

cnf(c_0_381,plain,
    ( op(e3,e1) = e1
    | op(e1,e1) = e0
    | op(e1,e1) = e2
    | op(e0,e1) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_378]),c_0_379]) ).

cnf(c_0_382,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3 ),
    i_0_16 ).

cnf(c_0_383,plain,
    op(e0,e3) != op(e0,e0),
    i_0_70 ).

cnf(c_0_384,plain,
    ( op(e0,e3) = e0
    | op(e0,e3) = e1
    | op(e0,e3) = e2
    | op(e0,e3) = e3 ),
    i_0_13 ).

cnf(c_0_385,plain,
    ( op(e0,e0) != e3
    | op(e0,e3) != e0 ),
    i_0_154 ).

cnf(c_0_386,plain,
    ( op(e0,e1) = e0
    | op(e2,e1) = e2
    | op(e1,e1) = e0
    | op(e1,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_380,c_0_381]) ).

cnf(c_0_387,plain,
    ( op(e0,e2) = e2
    | op(e1,e2) = e2
    | op(e2,e2) = e2
    | op(e3,e2) = e2 ),
    i_0_27 ).

cnf(c_0_388,plain,
    ( op(e3,e0) = e3
    | op(e3,e1) = e3
    | op(e3,e2) = e3
    | op(e3,e3) = e3 ),
    i_0_18 ).

cnf(c_0_389,plain,
    ( op(e0,e0) != e3
    | op(e0,op(e0,e0)) != e2
    | op(op(e0,op(e0,e0)),op(e0,e0)) != e1 ),
    i_0_184 ).

cnf(c_0_390,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e0) = e1 ),
    inference(sr,[status(thm)],[c_0_382,c_0_323]) ).

cnf(c_0_391,plain,
    ( op(e0,e3) = e1
    | op(e0,e3) = e2
    | op(e0,e0) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_384]),c_0_385]) ).

cnf(c_0_392,plain,
    ( op(e0,e1) != e0
    | op(e3,e3) != e1 ),
    i_0_159 ).

cnf(c_0_393,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e2
    | op(e0,e1) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_386]),c_0_364]) ).

cnf(c_0_394,plain,
    ( op(e1,e1) != e3
    | op(e1,e3) != e1 ),
    i_0_137 ).

cnf(c_0_395,plain,
    ( op(e1,e0) = e1
    | op(e1,e1) = e1
    | op(e1,e2) = e1
    | op(e1,e3) = e1 ),
    i_0_38 ).

cnf(c_0_396,plain,
    ( op(e0,e3) = e3
    | op(e1,e3) = e3
    | op(e2,e3) = e3
    | op(e3,e3) = e3 ),
    i_0_17 ).

cnf(c_0_397,plain,
    ( op(e3,e2) = e2
    | op(e0,e2) = e2
    | op(e1,e2) = e2 ),
    inference(sr,[status(thm)],[c_0_387,c_0_326]) ).

cnf(c_0_398,plain,
    ( op(e3,e2) = e3
    | op(e3,e0) = e3
    | op(e3,e1) = e3 ),
    inference(sr,[status(thm)],[c_0_388,c_0_328]) ).

cnf(c_0_399,plain,
    e3 != e2,
    i_0_97 ).

cnf(c_0_400,plain,
    op(e3,e3) != op(e3,e2),
    i_0_49 ).

cnf(c_0_401,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(op(e0,e3),e3) != e1
    | op(e0,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_389,c_0_390]) ).

cnf(c_0_402,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e3) = e2
    | op(e0,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_391,c_0_390]) ).

cnf(c_0_403,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e3,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_392,c_0_393]) ).

cnf(c_0_404,plain,
    ( op(e0,e3) = e1
    | op(e1,e3) = e1
    | op(e2,e3) = e1
    | op(e3,e3) = e1 ),
    i_0_21 ).

cnf(c_0_405,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e1,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_394,c_0_321]) ).

cnf(c_0_406,plain,
    ( op(e0,e0) != e1
    | op(e0,e1) != e0 ),
    i_0_162 ).

cnf(c_0_407,plain,
    ( op(e1,e0) = e1
    | op(e1,e2) = e1
    | op(e1,e3) = e1 ),
    inference(sr,[status(thm)],[c_0_395,c_0_319]) ).

cnf(c_0_408,plain,
    op(e1,e3) != op(e1,e1),
    i_0_62 ).

cnf(c_0_409,plain,
    ( op(e1,e3) = e0
    | op(e1,e3) = e1
    | op(e1,e3) = e2
    | op(e1,e3) = e3 ),
    i_0_9 ).

cnf(c_0_410,plain,
    op(e1,e1) != op(e1,e0),
    i_0_66 ).

cnf(c_0_411,plain,
    ( op(e1,e0) = e0
    | op(e1,e0) = e1
    | op(e1,e0) = e2
    | op(e1,e0) = e3 ),
    i_0_12 ).

cnf(c_0_412,plain,
    op(e2,e3) != op(e2,e0),
    i_0_58 ).

cnf(c_0_413,plain,
    ( op(e2,e3) = e3
    | op(e0,e3) = e3
    | op(e1,e3) = e3 ),
    inference(sr,[status(thm)],[c_0_396,c_0_328]) ).

cnf(c_0_414,plain,
    op(e2,e3) != op(e2,e2),
    i_0_55 ).

cnf(c_0_415,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3 ),
    i_0_6 ).

cnf(c_0_416,plain,
    ( op(e3,e0) != e3
    | op(e3,e3) != e0 ),
    i_0_115 ).

cnf(c_0_417,plain,
    ( op(e3,e1) = e3
    | op(e3,e0) = e3
    | op(e1,e2) = e2
    | op(e0,e2) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_398]),c_0_399]) ).

cnf(c_0_418,plain,
    ( op(e3,e3) = e1
    | op(e3,e3) = e0
    | op(e3,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_400,c_0_334]) ).

cnf(c_0_419,plain,
    ( op(e0,e0) != e3
    | op(e0,op(e0,e0)) != e1
    | op(op(e0,op(e0,e0)),op(e0,e0)) != e2 ),
    i_0_178 ).

cnf(c_0_420,plain,
    ( op(e0,e3) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e1
    | op(e2,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_401,c_0_402]) ).

cnf(c_0_421,plain,
    ( op(e0,e3) = e1
    | op(e2,e3) = e1
    | op(e1,e1) = e0
    | op(e1,e1) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_404]),c_0_405]) ).

cnf(c_0_422,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e0,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_406,c_0_393]) ).

cnf(c_0_423,plain,
    ( op(e1,e2) != e1
    | op(e3,e3) != e2 ),
    i_0_139 ).

cnf(c_0_424,plain,
    ( op(e1,e2) = e1
    | op(e1,e0) = e1
    | op(e1,e1) = e0
    | op(e1,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_405,c_0_407]) ).

cnf(c_0_425,plain,
    ( op(e1,e3) = e0
    | op(e1,e3) = e2
    | op(e1,e1) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_409]),c_0_394]) ).

cnf(c_0_426,plain,
    op(e2,e0) != op(e1,e0),
    i_0_93 ).

cnf(c_0_427,plain,
    ( op(e1,e0) = e1
    | op(e1,e0) = e0
    | op(e1,e0) = e2
    | op(e1,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_410,c_0_411]) ).

cnf(c_0_428,plain,
    ( op(e1,e3) = e3
    | op(e0,e3) = e3
    | op(e2,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_412,c_0_413]) ).

cnf(c_0_429,plain,
    ( op(e2,e0) = e0
    | op(e2,e0) = e1
    | op(e2,e0) = e2
    | op(e2,e0) = e3 ),
    i_0_8 ).

cnf(c_0_430,plain,
    ( op(e1,e3) = e3
    | op(e0,e3) = e3
    | op(e2,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_414,c_0_413]) ).

cnf(c_0_431,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e0
    | op(e2,e2) = e1 ),
    inference(sr,[status(thm)],[c_0_415,c_0_326]) ).

cnf(c_0_432,plain,
    ( op(e0,e2) = e2
    | op(e1,e2) = e2
    | op(e3,e1) = e3
    | op(e3,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_416,c_0_417]) ).

cnf(c_0_433,plain,
    ( op(e1,e2) = e2
    | op(e0,e2) = e2
    | op(e3,e3) = e0
    | op(e3,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_418,c_0_397]) ).

cnf(c_0_434,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(op(e0,e3),e3) != e2
    | op(e0,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_419,c_0_390]) ).

cnf(c_0_435,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e0,e0) = e2
    | op(e0,e3) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_420,c_0_421]),c_0_422]) ).

cnf(c_0_436,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e1,e0) = e1
    | op(e3,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_423,c_0_424]) ).

cnf(c_0_437,plain,
    op(e1,e3) != op(e1,e0),
    i_0_64 ).

cnf(c_0_438,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e1,e3) = e2
    | op(e1,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_425,c_0_321]) ).

cnf(c_0_439,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e2,e1) = e2
    | op(e1,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_426,c_0_338]) ).

cnf(c_0_440,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e1,e0) = e2
    | op(e1,e0) = e0
    | op(e1,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_427,c_0_321]) ).

cnf(c_0_441,plain,
    ( op(e2,e0) != e2
    | op(e2,e2) != e0 ),
    i_0_132 ).

cnf(c_0_442,plain,
    ( op(e2,e0) = e1
    | op(e2,e0) = e0
    | op(e2,e0) = e2
    | op(e0,e3) = e3
    | op(e1,e3) = e3 ),
    inference(spm,[status(thm)],[c_0_428,c_0_429]) ).

cnf(c_0_443,plain,
    op(e2,e2) != op(e2,e0),
    i_0_59 ).

cnf(c_0_444,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e0
    | op(e0,e3) = e3
    | op(e1,e3) = e3 ),
    inference(spm,[status(thm)],[c_0_430,c_0_431]) ).

cnf(c_0_445,plain,
    ( op(e3,e3) = e1
    | op(e3,e1) = e3
    | op(e1,e2) = e2
    | op(e0,e2) = e2 ),
    inference(spm,[status(thm)],[c_0_432,c_0_433]) ).

cnf(c_0_446,plain,
    ( op(e0,e0) != e2
    | op(e1,e2) != e1 ),
    i_0_142 ).

cnf(c_0_447,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e2
    | op(e0,e0) = e2
    | op(e1,e3) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_435]),c_0_422]) ).

cnf(c_0_448,plain,
    op(e3,e3) != op(e1,e3),
    i_0_74 ).

cnf(c_0_449,plain,
    ( op(e3,e3) = e1
    | op(e3,e3) = e0
    | op(e1,e0) = e1
    | op(e1,e1) = e0
    | op(e1,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_436,c_0_334]) ).

cnf(c_0_450,plain,
    ( op(e1,e3) = e0
    | op(e1,e1) = e0
    | op(e1,e1) = e2
    | op(e1,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_437,c_0_438]) ).

cnf(c_0_451,plain,
    ( op(e1,e0) = e1
    | op(e1,e0) = e0
    | op(e2,e1) = e2
    | op(e1,e1) = e0
    | op(e1,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_439,c_0_440]) ).

cnf(c_0_452,plain,
    ( op(e0,e1) != e0
    | op(e2,e2) != e1 ),
    i_0_160 ).

cnf(c_0_453,plain,
    ( op(e1,e3) = e3
    | op(e0,e3) = e3
    | op(e2,e0) = e0
    | op(e2,e0) = e1
    | op(e2,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_441,c_0_442]) ).

cnf(c_0_454,plain,
    ( op(e1,e3) = e3
    | op(e0,e3) = e3
    | op(e2,e2) = e1
    | op(e2,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_443,c_0_444]) ).

cnf(c_0_455,plain,
    ( op(e0,e2) = e2
    | op(e1,e2) = e2
    | op(e3,e1) = e3
    | op(e1,e1) = e0
    | op(e1,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_403,c_0_445]) ).

cnf(c_0_456,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e1,e0) = e1
    | op(e0,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_446,c_0_424]) ).

cnf(c_0_457,plain,
    ( op(e1,e3) = e0
    | op(e0,e0) = e2
    | op(e1,e1) = e2
    | op(e1,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_447,c_0_438]) ).

cnf(c_0_458,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e1,e0) = e1
    | op(e3,e3) = e1
    | op(e1,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_448,c_0_449]) ).

cnf(c_0_459,plain,
    ( op(e1,e0) = e1
    | op(e1,e0) = e0
    | op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e1,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_450,c_0_440]) ).

cnf(c_0_460,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e1,e0) = e0
    | op(e1,e0) = e1
    | op(e3,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_350,c_0_451]) ).

cnf(c_0_461,plain,
    ( op(e3,e2) != e3
    | op(e3,e3) != e2 ),
    i_0_107 ).

cnf(c_0_462,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_452,c_0_393]) ).

cnf(c_0_463,plain,
    ( op(e2,e2) = e1
    | op(e2,e0) = e1
    | op(e0,e3) = e3
    | op(e1,e3) = e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_444]),c_0_454]) ).

cnf(c_0_464,plain,
    ( op(e2,e2) != e3
    | op(e2,op(e2,e2)) != e1
    | op(op(e2,op(e2,e2)),op(e2,e2)) != e0 ),
    i_0_177 ).

cnf(c_0_465,plain,
    op(e0,e2) != op(e0,e0),
    i_0_71 ).

cnf(c_0_466,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e1,e2) = e2
    | op(e0,e2) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_455]),c_0_321]) ).

cnf(c_0_467,plain,
    op(e1,e3) != op(e1,e2),
    i_0_61 ).

cnf(c_0_468,plain,
    ( op(e1,e3) = e0
    | op(e1,e0) = e1
    | op(e1,e1) = e0
    | op(e1,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_456,c_0_457]) ).

cnf(c_0_469,plain,
    ( op(e1,e0) = e0
    | op(e1,e0) = e1
    | op(e1,e1) = e0
    | op(e1,e1) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_459]),c_0_460]) ).

cnf(c_0_470,plain,
    ( op(e3,e1) = e3
    | op(e3,e0) = e3
    | op(e3,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_461,c_0_398]) ).

cnf(c_0_471,plain,
    ( op(e3,e0) = e2
    | op(e3,e1) = e2
    | op(e3,e2) = e2
    | op(e3,e3) = e2 ),
    i_0_20 ).

cnf(c_0_472,plain,
    ( op(e1,e3) = e3
    | op(e0,e3) = e3
    | op(e2,e0) = e1
    | op(e1,e1) = e0
    | op(e1,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_462,c_0_463]) ).

cnf(c_0_473,plain,
    ( op(e1,e0) != e1
    | op(e1,e1) != e0 ),
    i_0_149 ).

cnf(c_0_474,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e0
    | op(op(e2,e3),e3) != e0
    | op(e2,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_464,c_0_431]) ).

cnf(c_0_475,plain,
    ( op(e1,e2) = e2
    | op(e1,e1) = e0
    | op(e1,e1) = e2
    | op(e0,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_465,c_0_466]) ).

cnf(c_0_476,plain,
    ( op(e1,e3) = e0
    | op(e1,e1) = e0
    | op(e1,e1) = e2
    | op(e1,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_467,c_0_438]) ).

cnf(c_0_477,plain,
    ( op(e1,e0) != e1
    | op(e2,e2) != e0 ),
    i_0_148 ).

cnf(c_0_478,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e1,e0) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_468]),c_0_469]) ).

cnf(c_0_479,plain,
    ( op(e0,e2) = e1
    | op(e1,e2) = e1
    | op(e2,e2) = e1
    | op(e3,e2) = e1 ),
    i_0_29 ).

cnf(c_0_480,plain,
    e2 != e1,
    i_0_99 ).

cnf(c_0_481,plain,
    ( op(e3,e1) = e2
    | op(e3,e0) = e2
    | op(e3,e2) = e2
    | op(e3,e0) = e3
    | op(e3,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_470,c_0_471]) ).

cnf(c_0_482,plain,
    ( op(e1,e1) = e2
    | op(e0,e3) = e3
    | op(e1,e3) = e3
    | op(e1,e0) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_472]),c_0_473]) ).

cnf(c_0_483,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e0,e3) = e1
    | op(e2,e2) = e0
    | op(e1,e3) != e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_474,c_0_421]),c_0_462]) ).

cnf(c_0_484,plain,
    ( op(e1,e3) = e0
    | op(e1,e1) = e2
    | op(e1,e1) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_475,c_0_457]),c_0_476]) ).

cnf(c_0_485,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e2
    | op(e2,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_477,c_0_478]) ).

cnf(c_0_486,plain,
    ( op(e2,e2) != e1
    | op(e3,e1) != e3 ),
    i_0_112 ).

cnf(c_0_487,plain,
    ( op(e1,e2) = e2
    | op(e0,e2) = e2
    | op(e1,e2) = e1
    | op(e0,e2) = e1
    | op(e2,e2) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_397]),c_0_480]) ).

cnf(c_0_488,plain,
    ( op(e0,e2) = e2
    | op(e1,e2) = e2
    | op(e3,e1) = e3
    | op(e1,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_448,c_0_445]) ).

cnf(c_0_489,plain,
    op(e3,e0) != op(e0,e0),
    i_0_94 ).

cnf(c_0_490,plain,
    ( op(e3,e0) = e2
    | op(e3,e1) = e2
    | op(e3,e1) = e3
    | op(e3,e0) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_481]),c_0_399]) ).

cnf(c_0_491,plain,
    ( op(e1,e1) = e0
    | op(e1,e3) = e3
    | op(e0,e3) = e3
    | op(e1,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_482,c_0_478]) ).

cnf(c_0_492,plain,
    ( op(e0,e3) = e1
    | op(e1,e1) = e0
    | op(e1,e1) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_484]),c_0_485]) ).

cnf(c_0_493,plain,
    e3 != e1,
    i_0_98 ).

cnf(c_0_494,plain,
    ( op(e0,e0) != e3
    | op(e1,e3) != e1 ),
    i_0_138 ).

cnf(c_0_495,plain,
    ( op(e0,e2) = e1
    | op(e1,e2) = e1
    | op(e0,e2) = e2
    | op(e1,e2) = e2
    | op(e3,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_486,c_0_487]) ).

cnf(c_0_496,plain,
    ( op(e1,e2) = e1
    | op(e1,e0) = e1
    | op(e3,e1) = e3
    | op(e1,e2) = e2
    | op(e0,e2) = e2 ),
    inference(spm,[status(thm)],[c_0_488,c_0_407]) ).

cnf(c_0_497,plain,
    ( op(e3,e1) = e3
    | op(e3,e1) = e2
    | op(e3,e0) = e2
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_489,c_0_490]) ).

cnf(c_0_498,plain,
    ( op(e0,e0) != e3
    | op(e2,e3) != e2 ),
    i_0_122 ).

cnf(c_0_499,plain,
    ( op(e0,e3) != e0
    | op(e2,e2) != e3 ),
    i_0_152 ).

cnf(c_0_500,plain,
    ( op(e1,e1) = e2
    | op(e1,e3) = e3
    | op(e1,e1) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_491,c_0_492]),c_0_493]) ).

cnf(c_0_501,plain,
    e3 != e0,
    i_0_100 ).

cnf(c_0_502,plain,
    ( op(e1,e2) = e1
    | op(e1,e0) = e1
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_494,c_0_407]) ).

cnf(c_0_503,plain,
    ( op(e1,e0) = e1
    | op(e1,e2) = e2
    | op(e0,e2) = e2
    | op(e1,e2) = e1
    | op(e0,e2) = e1 ),
    inference(spm,[status(thm)],[c_0_495,c_0_496]) ).

cnf(c_0_504,plain,
    op(e3,e0) != op(e2,e0),
    i_0_91 ).

cnf(c_0_505,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e3,e0) = e2
    | op(e3,e1) = e2
    | op(e3,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_497,c_0_390]) ).

cnf(c_0_506,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e2,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_498,c_0_390]) ).

cnf(c_0_507,plain,
    op(e3,e3) != op(e0,e3),
    i_0_76 ).

cnf(c_0_508,plain,
    ( op(e3,e3) = e1
    | op(e3,e3) = e0
    | op(e3,e0) = e3
    | op(e3,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_470,c_0_334]) ).

cnf(c_0_509,plain,
    ( op(e0,e1) = e0
    | op(e0,e2) = e0
    | op(e2,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_499,c_0_330]) ).

cnf(c_0_510,plain,
    ( op(e1,e1) != e2
    | op(e3,e2) != e3 ),
    i_0_109 ).

cnf(c_0_511,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_484,c_0_500]),c_0_501]) ).

cnf(c_0_512,plain,
    ( op(e0,e0) != e2
    | op(e0,op(e0,e0)) != e1
    | op(op(e0,op(e0,e0)),op(e0,e0)) != e3 ),
    i_0_176 ).

cnf(c_0_513,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e1,e0) = e1
    | op(e1,e2) = e1 ),
    inference(spm,[status(thm)],[c_0_502,c_0_390]) ).

cnf(c_0_514,plain,
    ( op(e0,e2) = e1
    | op(e1,e2) = e2
    | op(e1,e0) = e1
    | op(e0,e0) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_503]),c_0_446]) ).

cnf(c_0_515,plain,
    op(e2,e2) != op(e1,e2),
    i_0_81 ).

cnf(c_0_516,plain,
    ( op(e3,e1) = e3
    | op(e3,e1) = e2
    | op(e0,e0) = e2
    | op(e0,e0) = e1
    | op(e2,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_504,c_0_505]) ).

cnf(c_0_517,plain,
    ( op(e2,e1) = e2
    | op(e2,e0) = e2
    | op(e0,e0) = e2
    | op(e0,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_506,c_0_332]) ).

cnf(c_0_518,plain,
    ( op(e3,e3) = e1
    | op(e3,e3) = e0
    | op(e0,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_507,c_0_334]) ).

cnf(c_0_519,plain,
    ( op(e3,e1) = e3
    | op(e3,e0) = e3
    | op(e3,e3) = e1
    | op(e0,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_507,c_0_508]) ).

cnf(c_0_520,plain,
    ( op(e2,e2) != e0
    | op(e3,e0) != e3 ),
    i_0_116 ).

cnf(c_0_521,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e0
    | op(e0,e2) = e0
    | op(e0,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_509,c_0_431]) ).

cnf(c_0_522,plain,
    ( op(e1,e1) = e0
    | op(e3,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_510,c_0_511]) ).

cnf(c_0_523,plain,
    ( op(e0,e2) != e0
    | op(e1,e1) != e2 ),
    i_0_157 ).

cnf(c_0_524,plain,
    ( op(e1,e2) = e1
    | op(e1,e0) = e1
    | op(e0,e0) = e1
    | op(op(e0,e2),e2) != e3
    | op(e0,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_512,c_0_513]) ).

cnf(c_0_525,plain,
    ( op(e1,e2) = e1
    | op(e0,e0) = e1
    | op(e1,e0) = e1
    | op(e1,e2) = e2
    | op(e0,e2) = e1 ),
    inference(spm,[status(thm)],[c_0_514,c_0_513]) ).

cnf(c_0_526,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e0
    | op(e1,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_515,c_0_431]) ).

cnf(c_0_527,plain,
    ( op(e1,e2) = e0
    | op(e1,e2) = e1
    | op(e1,e2) = e2
    | op(e1,e2) = e3 ),
    i_0_10 ).

cnf(c_0_528,plain,
    op(e3,e2) != op(e1,e2),
    i_0_80 ).

cnf(c_0_529,plain,
    ( op(e1,e3) != e1
    | op(e2,e2) != e3 ),
    i_0_136 ).

cnf(c_0_530,plain,
    ( op(e3,e1) != e3
    | op(e3,e3) != e1 ),
    i_0_111 ).

cnf(c_0_531,plain,
    ( op(e2,e1) = e2
    | op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e3,e1) = e2
    | op(e3,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_516,c_0_517]) ).

cnf(c_0_532,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e2,e1) = e2
    | op(e3,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_337,c_0_517]) ).

cnf(c_0_533,plain,
    ( op(e0,e3) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e1
    | op(e3,e3) = e0
    | op(e3,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_518,c_0_402]) ).

cnf(c_0_534,plain,
    ( op(e0,e1) = e0
    | op(e0,e2) = e0
    | op(e3,e3) = e1
    | op(e3,e0) = e3
    | op(e3,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_519,c_0_330]) ).

cnf(c_0_535,plain,
    ( op(e0,e1) = e1
    | op(e1,e1) = e1
    | op(e2,e1) = e1
    | op(e3,e1) = e1 ),
    i_0_37 ).

cnf(c_0_536,plain,
    ( op(e0,e1) = e0
    | op(e0,e2) = e0
    | op(e2,e2) = e1
    | op(e3,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_520,c_0_521]) ).

cnf(c_0_537,plain,
    ( op(e3,e1) = e3
    | op(e3,e0) = e3
    | op(e1,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_522,c_0_398]) ).

cnf(c_0_538,plain,
    ( op(e1,e1) = e0
    | op(e0,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_523,c_0_511]) ).

cnf(c_0_539,plain,
    ( op(e1,e2) = e2
    | op(e0,e0) = e1
    | op(e1,e0) = e1
    | op(e1,e2) = e1
    | op(e1,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_524,c_0_525]) ).

cnf(c_0_540,plain,
    ( op(e1,e2) = e1
    | op(e1,e2) = e0
    | op(e1,e2) = e2
    | op(e2,e2) = e0
    | op(e2,e2) = e1 ),
    inference(spm,[status(thm)],[c_0_526,c_0_527]) ).

cnf(c_0_541,plain,
    ( op(e3,e1) = e3
    | op(e3,e0) = e3
    | op(e1,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_528,c_0_398]) ).

cnf(c_0_542,plain,
    ( op(e1,e2) = e1
    | op(e1,e0) = e1
    | op(e2,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_529,c_0_407]) ).

cnf(c_0_543,plain,
    ( op(e3,e1) = e2
    | op(e0,e0) = e2
    | op(e0,e0) = e1
    | op(e3,e3) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_530,c_0_531]),c_0_350]) ).

cnf(c_0_544,plain,
    ( op(e3,e3) = e1
    | op(e0,e3) = e1
    | op(e2,e1) = e2
    | op(e0,e0) = e2
    | op(e0,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_532,c_0_533]) ).

cnf(c_0_545,plain,
    ( op(e3,e1) = e3
    | op(e3,e0) = e3
    | op(e0,e2) = e0
    | op(e0,e1) = e0
    | op(e3,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_333,c_0_534]) ).

cnf(c_0_546,plain,
    ( op(e3,e1) = e1
    | op(e2,e1) = e1
    | op(e0,e1) = e1 ),
    inference(sr,[status(thm)],[c_0_535,c_0_319]) ).

cnf(c_0_547,plain,
    ( op(e1,e1) = e0
    | op(e3,e1) = e3
    | op(e2,e2) = e1
    | op(e0,e1) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_536,c_0_537]),c_0_538]) ).

cnf(c_0_548,plain,
    ( op(e0,e0) != e1
    | op(e3,e1) != e3 ),
    i_0_114 ).

cnf(c_0_549,plain,
    ( op(e1,e2) = e1
    | op(e1,e2) = e0
    | op(e1,e2) = e2
    | op(e1,e0) = e1
    | op(e0,e0) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_539,c_0_527]),c_0_399]),c_0_493]) ).

cnf(c_0_550,plain,
    ( op(e2,e2) = e1
    | op(e1,e2) = e2
    | op(e1,e2) = e0
    | op(e1,e2) = e1
    | op(e3,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_520,c_0_540]) ).

cnf(c_0_551,plain,
    ( op(e1,e2) = e1
    | op(e1,e2) = e0
    | op(e1,e2) = e2
    | op(e3,e0) = e3
    | op(e3,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_541,c_0_527]) ).

cnf(c_0_552,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e0
    | op(e1,e0) = e1
    | op(e1,e2) = e1 ),
    inference(spm,[status(thm)],[c_0_542,c_0_431]) ).

cnf(c_0_553,plain,
    ( op(e2,e1) = e2
    | op(e0,e3) = e1
    | op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e3,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_543,c_0_544]) ).

cnf(c_0_554,plain,
    ( op(e0,e1) = e1
    | op(e2,e1) = e1
    | op(e0,e1) = e0
    | op(e0,e2) = e0
    | op(e3,e0) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_546]),c_0_493]) ).

cnf(c_0_555,plain,
    ( op(e2,e2) = e1
    | op(e1,e1) = e0
    | op(e0,e1) = e0
    | op(e2,e1) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_547]),c_0_501]) ).

cnf(c_0_556,plain,
    e1 != e0,
    i_0_102 ).

cnf(c_0_557,plain,
    op(e2,e2) != op(e2,e1),
    i_0_57 ).

cnf(c_0_558,plain,
    ( op(e1,e0) = e1
    | op(e1,e2) = e2
    | op(e1,e2) = e0
    | op(e1,e2) = e1
    | op(e3,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_548,c_0_549]) ).

cnf(c_0_559,plain,
    ( op(e3,e1) = e3
    | op(e1,e2) = e1
    | op(e1,e2) = e0
    | op(e1,e2) = e2
    | op(e2,e2) = e1 ),
    inference(spm,[status(thm)],[c_0_550,c_0_551]) ).

cnf(c_0_560,plain,
    ( op(e1,e2) = e1
    | op(e1,e0) = e1
    | op(e2,e2) = e1
    | op(e1,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_515,c_0_552]) ).

cnf(c_0_561,plain,
    ( op(e0,e0) = e2
    | op(e0,e0) = e1
    | op(e0,e3) = e1
    | op(e2,e1) = e2
    | op(e1,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_354,c_0_553]) ).

cnf(c_0_562,plain,
    ( op(e2,e2) != e1
    | op(e2,op(e2,e2)) != e0
    | op(op(e2,op(e2,e2)),op(e2,e2)) != e3 ),
    i_0_168 ).

cnf(c_0_563,plain,
    ( op(e2,e1) = e1
    | op(e0,e1) = e1
    | op(e2,e2) = e1
    | op(e0,e2) = e0
    | op(e0,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_536,c_0_554]) ).

cnf(c_0_564,plain,
    ( op(e2,e1) = e0
    | op(e0,e1) = e0
    | op(e1,e1) = e0
    | op(e3,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_486,c_0_555]) ).

cnf(c_0_565,plain,
    ( op(e1,e1) = e0
    | op(e0,e1) = e0
    | op(e2,e1) = e0
    | op(e0,e1) = e1
    | op(e2,e1) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_546,c_0_353]),c_0_556]) ).

cnf(c_0_566,plain,
    ( op(e2,e1) = e0
    | op(e0,e1) = e0
    | op(e1,e1) = e0
    | op(e2,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_557,c_0_555]) ).

cnf(c_0_567,plain,
    ( op(e2,e2) = e1
    | op(e1,e2) = e1
    | op(e1,e2) = e2
    | op(e1,e0) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_558,c_0_559]),c_0_560]) ).

cnf(c_0_568,plain,
    ( op(e1,e1) = e0
    | op(e2,e1) = e2
    | op(e0,e3) = e1
    | op(e0,e0) = e1
    | op(e0,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_561,c_0_511]) ).

cnf(c_0_569,plain,
    ( op(e0,e1) = e0
    | op(e0,e2) = e0
    | op(e0,e1) = e1
    | op(e2,e1) = e1
    | op(op(e2,e1),e1) != e3
    | op(e2,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_562,c_0_563]) ).

cnf(c_0_570,plain,
    ( op(e0,e1) = e1
    | op(e1,e1) = e0
    | op(e0,e1) = e0
    | op(e2,e1) = e0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_564,c_0_546]),c_0_565]),c_0_566]) ).

cnf(c_0_571,plain,
    ( op(e1,e0) = e1
    | op(e1,e2) = e2
    | op(e1,e2) = e1
    | op(e3,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_486,c_0_567]) ).

cnf(c_0_572,plain,
    ( op(e0,e0) = e2
    | op(e0,e0) = e1
    | op(e0,e3) = e1
    | op(e1,e1) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_568]),c_0_511]) ).

cnf(c_0_573,plain,
    ( op(e1,e1) != e2
    | op(e1,e2) != e1 ),
    i_0_141 ).

cnf(c_0_574,plain,
    ( op(e1,e1) = e0
    | op(e0,e1) = e1
    | op(e0,e1) = e0
    | op(e0,e1) != e3 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_569,c_0_570]),c_0_556]),c_0_538]) ).

cnf(c_0_575,plain,
    ( op(e0,e2) = e2
    | op(e1,e2) = e1
    | op(e1,e2) = e2
    | op(e1,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_571,c_0_496]) ).

cnf(c_0_576,plain,
    ( op(e1,e1) = e0
    | op(e0,e0) = e2
    | op(e0,e0) = e1
    | op(e1,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_434,c_0_572]) ).

cnf(c_0_577,plain,
    ( op(e1,e1) = e0
    | op(e1,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_573,c_0_511]) ).

cnf(c_0_578,plain,
    ( op(e0,e1) = e1
    | op(e0,e1) = e0
    | op(e0,e1) = e2
    | op(e1,e1) = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_574,c_0_360]),c_0_493]),c_0_501]) ).

cnf(c_0_579,plain,
    ( op(e1,e0) = e1
    | op(e1,e2) = e2
    | op(e0,e0) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_575]),c_0_446]) ).

cnf(c_0_580,plain,
    ( op(e1,e0) = e1
    | op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e1,e1) = e0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_576,c_0_407]),c_0_513]),c_0_577]) ).

cnf(c_0_581,plain,
    ( op(e1,e1) = e0
    | op(e0,e1) = e0
    | op(e0,e1) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_578]),c_0_511]) ).

cnf(c_0_582,plain,
    op(e0,e1) != op(e0,e0),
    i_0_72 ).

cnf(c_0_583,plain,
    ( op(e1,e1) = e0
    | op(e0,e0) = e1
    | op(e1,e2) = e2
    | op(e1,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_579,c_0_580]) ).

cnf(c_0_584,plain,
    ( op(e0,e1) = e1
    | op(e1,e1) = e0
    | op(e0,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_406,c_0_581]) ).

cnf(c_0_585,plain,
    ( op(e1,e0) = e1
    | op(e1,e2) = e2
    | op(e1,e1) = e0
    | op(e0,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_582,c_0_583]) ).

cnf(c_0_586,plain,
    op(e1,e2) != op(e1,e1),
    i_0_63 ).

cnf(c_0_587,plain,
    ( op(e1,e0) = e1
    | op(e1,e2) = e2
    | op(e1,e1) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_584,c_0_583]),c_0_585]) ).

cnf(c_0_588,plain,
    ( op(e1,e1) = e0
    | op(e1,e0) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_586,c_0_587]),c_0_511]) ).

cnf(c_0_589,plain,
    ( op(e1,e1) = e0
    | op(e2,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_477,c_0_588]) ).

cnf(c_0_590,plain,
    ( op(e0,e0) = e0
    | op(e1,e0) = e0
    | op(e2,e0) = e0
    | op(e3,e0) = e0 ),
    i_0_47 ).

cnf(c_0_591,plain,
    ( op(e0,e1) = e0
    | op(e2,e2) = e1
    | op(e1,e1) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_589,c_0_521]),c_0_538]) ).

cnf(c_0_592,plain,
    ( op(e3,e0) = e0
    | op(e2,e0) = e0
    | op(e1,e0) = e0 ),
    inference(sr,[status(thm)],[c_0_590,c_0_323]) ).

cnf(c_0_593,plain,
    ( op(e2,e2) != e1
    | op(e2,op(e2,e2)) != e3
    | op(op(e2,op(e2,e2)),op(e2,e2)) != e0 ),
    i_0_187 ).

cnf(c_0_594,plain,
    ( op(e1,e1) = e0
    | op(e0,e1) = e0
    | op(e3,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_486,c_0_591]) ).

cnf(c_0_595,plain,
    ( op(e1,e1) = e0
    | op(e3,e1) = e3
    | op(e1,e0) = e0
    | op(e2,e0) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_592,c_0_537]),c_0_501]) ).

cnf(c_0_596,plain,
    ( op(e1,e1) = e0
    | op(e0,e1) = e0
    | op(op(e2,e1),e1) != e0
    | op(e2,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_593,c_0_591]) ).

cnf(c_0_597,plain,
    ( op(e1,e1) = e0
    | op(e0,e1) = e0
    | op(e2,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_557,c_0_591]) ).

cnf(c_0_598,plain,
    op(e2,e1) != op(e2,e0),
    i_0_60 ).

cnf(c_0_599,plain,
    ( op(e2,e0) = e0
    | op(e1,e0) = e0
    | op(e0,e1) = e0
    | op(e1,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_594,c_0_595]) ).

cnf(c_0_600,plain,
    ( op(e2,e1) = e0
    | op(e2,e1) = e2
    | op(e0,e1) = e0
    | op(e1,e1) = e0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_596,c_0_342]),c_0_353]),c_0_597]) ).

cnf(c_0_601,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e1
    | op(e3,e2) = e2
    | op(e3,e2) = e3 ),
    i_0_2 ).

cnf(c_0_602,plain,
    ( op(e1,e1) != e2
    | op(e1,op(e1,e1)) != e3
    | op(op(e1,op(e1,e1)),op(e1,e1)) != e0 ),
    i_0_189 ).

cnf(c_0_603,plain,
    ( op(e1,e1) = e0
    | op(e0,e1) = e0
    | op(e1,e0) = e0
    | op(e2,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_598,c_0_599]) ).

cnf(c_0_604,plain,
    ( op(e1,e1) = e0
    | op(e0,e1) = e0
    | op(e2,e1) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_600]),c_0_511]) ).

cnf(c_0_605,plain,
    ( op(e1,e0) != e1
    | op(e3,e3) != e0 ),
    i_0_147 ).

cnf(c_0_606,plain,
    ( op(e3,e2) = e1
    | op(e3,e2) = e0
    | op(e3,e2) = e2
    | op(e3,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_461,c_0_601]) ).

cnf(c_0_607,plain,
    ( op(e1,e1) = e0
    | op(op(e1,e2),e2) != e0
    | op(e1,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_602,c_0_511]) ).

cnf(c_0_608,plain,
    ( op(e1,e0) = e0
    | op(e0,e1) = e0
    | op(e1,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_603,c_0_604]) ).

cnf(c_0_609,plain,
    ( op(e1,e1) = e0
    | op(e3,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_605,c_0_588]) ).

cnf(c_0_610,plain,
    ( op(e3,e3) = e1
    | op(e3,e3) = e0
    | op(e3,e2) = e0
    | op(e3,e2) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_606,c_0_334]),c_0_418]) ).

cnf(c_0_611,plain,
    ( op(e1,e2) = e0
    | op(e1,e2) = e2
    | op(e1,e1) = e0
    | op(e3,e2) != e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_607,c_0_527]),c_0_577]) ).

cnf(c_0_612,plain,
    ( op(e0,e2) = e0
    | op(e1,e2) = e0
    | op(e2,e2) = e0
    | op(e3,e2) = e0 ),
    i_0_31 ).

cnf(c_0_613,plain,
    ( op(e1,e1) = e0
    | op(e1,e0) = e0
    | op(e3,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_392,c_0_608]) ).

cnf(c_0_614,plain,
    ( op(e3,e2) = e1
    | op(e3,e2) = e0
    | op(e3,e3) = e1
    | op(e1,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_609,c_0_610]) ).

cnf(c_0_615,plain,
    ( op(e1,e1) = e0
    | op(e1,e2) = e2
    | op(e1,e2) = e0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_611,c_0_612]),c_0_538]),c_0_589]) ).

cnf(c_0_616,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e1
    | op(e1,e0) = e0
    | op(e1,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_613,c_0_614]) ).

cnf(c_0_617,plain,
    op(e1,e2) != op(e1,e0),
    i_0_65 ).

cnf(c_0_618,plain,
    ( op(e1,e2) = e0
    | op(e1,e1) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_586,c_0_615]),c_0_511]) ).

cnf(c_0_619,plain,
    ( op(e1,e1) = e0
    | op(e1,e0) = e0
    | op(e3,e2) = e1
    | op(e1,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_528,c_0_616]) ).

cnf(c_0_620,plain,
    ( op(e1,e1) = e0
    | op(e1,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_617,c_0_618]) ).

cnf(c_0_621,plain,
    op(e3,e2) != op(e2,e2),
    i_0_79 ).

cnf(c_0_622,plain,
    ( op(e3,e2) = e1
    | op(e1,e1) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_619,c_0_618]),c_0_620]) ).

cnf(c_0_623,plain,
    ( op(e1,e1) = e0
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_621,c_0_622]) ).

cnf(c_0_624,plain,
    ( op(e3,e3) != e2
    | op(e3,op(e3,e3)) != e1
    | op(op(e3,op(e3,e3)),op(e3,e3)) != e0 ),
    i_0_175 ).

cnf(c_0_625,plain,
    ( op(e0,e1) = e0
    | op(e1,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_623,c_0_591]) ).

cnf(c_0_626,plain,
    ( op(e3,e3) = e1
    | op(e3,e3) = e0
    | op(op(e3,e2),e2) != e0
    | op(e3,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_624,c_0_334]) ).

cnf(c_0_627,plain,
    ( op(e1,e1) = e0
    | op(e3,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_392,c_0_625]) ).

cnf(c_0_628,plain,
    op(e1,e1) = e0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_626,c_0_622]),c_0_618]),c_0_609]),c_0_627]) ).

cnf(c_0_629,plain,
    ( op(e1,e1) != e0
    | op(e1,op(e1,e1)) != e3
    | op(op(e1,op(e1,e1)),op(e1,e1)) != e2 ),
    i_0_186 ).

cnf(c_0_630,plain,
    op(e1,e0) != e1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_473,c_0_628])]) ).

cnf(c_0_631,plain,
    op(e1,e0) != e0,
    inference(rw,[status(thm)],[c_0_410,c_0_628]) ).

cnf(c_0_632,plain,
    ( op(e1,e1) != e0
    | op(e2,e0) != e2 ),
    i_0_133 ).

cnf(c_0_633,plain,
    ( op(op(e1,e0),e0) != e2
    | op(e1,e0) != e3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_629,c_0_628]),c_0_628]),c_0_628]),c_0_628])]) ).

cnf(c_0_634,plain,
    ( op(e1,e0) = e2
    | op(e1,e0) = e3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_411,c_0_630]),c_0_631]) ).

cnf(c_0_635,plain,
    ( op(e0,e0) = e2
    | op(e1,e0) = e2
    | op(e2,e0) = e2
    | op(e3,e0) = e2 ),
    i_0_43 ).

cnf(c_0_636,plain,
    op(e2,e0) != e2,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_632,c_0_628])]) ).

cnf(c_0_637,plain,
    op(e3,e3) != op(e2,e3),
    i_0_73 ).

cnf(c_0_638,plain,
    ( op(e3,e0) = e1
    | op(e3,e1) = e1
    | op(e3,e2) = e1
    | op(e3,e3) = e1 ),
    i_0_22 ).

cnf(c_0_639,plain,
    ( op(e1,e1) != e0
    | op(e3,e0) != e3 ),
    i_0_117 ).

cnf(c_0_640,plain,
    ( op(e1,e0) = e2
    | op(e3,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_633,c_0_634]) ).

cnf(c_0_641,plain,
    ( op(e1,e0) = e2
    | op(e0,e0) = e2
    | op(e3,e0) = e2 ),
    inference(sr,[status(thm)],[c_0_635,c_0_636]) ).

cnf(c_0_642,plain,
    ( op(e3,e3) = e1
    | op(e3,e3) = e0
    | op(e2,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_637,c_0_334]) ).

cnf(c_0_643,plain,
    ( op(e3,e1) = e1
    | op(e3,e0) = e1
    | op(e3,e2) = e1
    | op(e1,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_448,c_0_638]) ).

cnf(c_0_644,plain,
    op(e3,e0) != e3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_639,c_0_628])]) ).

cnf(c_0_645,plain,
    ( op(e0,e0) != e2
    | op(e3,e2) != e3 ),
    i_0_110 ).

cnf(c_0_646,plain,
    ( op(e0,e0) = e2
    | op(e1,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_640,c_0_641]) ).

cnf(c_0_647,plain,
    ( op(e2,e0) = e3
    | op(e2,e1) = e3
    | op(e2,e2) = e3
    | op(e2,e3) = e3 ),
    i_0_26 ).

cnf(c_0_648,plain,
    op(e3,e3) != op(e3,e0),
    i_0_52 ).

cnf(c_0_649,plain,
    ( op(e2,e1) = e2
    | op(e2,e0) = e2
    | op(e3,e3) = e0
    | op(e3,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_642,c_0_332]) ).

cnf(c_0_650,plain,
    ( op(e1,e2) = e1
    | op(e1,e0) = e1
    | op(e3,e2) = e1
    | op(e3,e0) = e1
    | op(e3,e1) = e1 ),
    inference(spm,[status(thm)],[c_0_643,c_0_407]) ).

cnf(c_0_651,plain,
    op(e2,e2) != op(e0,e2),
    i_0_83 ).

cnf(c_0_652,plain,
    op(e3,e0) != op(e1,e0),
    i_0_92 ).

cnf(c_0_653,plain,
    ( op(e3,e1) = e3
    | op(e3,e1) = e2
    | op(e3,e0) = e2 ),
    inference(sr,[status(thm)],[c_0_490,c_0_644]) ).

cnf(c_0_654,plain,
    ( op(e1,e0) = e2
    | op(e3,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_645,c_0_646]) ).

cnf(c_0_655,plain,
    ( op(e3,e1) = e3
    | op(e3,e2) = e3 ),
    inference(sr,[status(thm)],[c_0_398,c_0_644]) ).

cnf(c_0_656,plain,
    ( op(e2,e2) != e3
    | op(e2,e3) != e2 ),
    i_0_120 ).

cnf(c_0_657,plain,
    ( op(e2,e1) = e3
    | op(e2,e0) = e3
    | op(e2,e2) = e3
    | op(e2,e1) = e2
    | op(e2,e0) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_647]),c_0_399]) ).

cnf(c_0_658,plain,
    ( op(e3,e3) = e1
    | op(e2,e0) = e2
    | op(e2,e1) = e2
    | op(e3,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_648,c_0_649]) ).

cnf(c_0_659,plain,
    ( op(e3,e1) = e1
    | op(e3,e0) = e1
    | op(e1,e0) = e1
    | op(e1,e2) = e1
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_621,c_0_650]) ).

cnf(c_0_660,plain,
    ( op(e1,e0) = e1
    | op(e1,e2) = e2
    | op(e1,e2) = e1
    | op(e0,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_651,c_0_567]) ).

cnf(c_0_661,plain,
    ( op(e3,e1) = e2
    | op(e3,e1) = e3
    | op(e1,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_652,c_0_653]) ).

cnf(c_0_662,plain,
    ( op(e3,e1) = e3
    | op(e1,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_654,c_0_655]) ).

cnf(c_0_663,plain,
    ( op(e2,e0) = e2
    | op(e2,e1) = e2
    | op(e2,e0) = e3
    | op(e2,e1) = e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_656,c_0_657]),c_0_332]) ).

cnf(c_0_664,plain,
    ( op(e1,e0) = e0
    | op(e2,e0) = e0
    | op(e2,e1) = e2
    | op(e2,e0) = e2
    | op(e3,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_658,c_0_592]) ).

cnf(c_0_665,plain,
    ( op(e1,e2) = e2
    | op(e1,e2) = e1
    | op(e1,e0) = e1
    | op(e3,e0) = e1
    | op(e3,e1) = e1 ),
    inference(spm,[status(thm)],[c_0_659,c_0_567]) ).

cnf(c_0_666,plain,
    ( op(e0,e0) = e1
    | op(e1,e2) = e1
    | op(e1,e2) = e2
    | op(e1,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_660,c_0_525]) ).

cnf(c_0_667,plain,
    ( op(e3,e1) = e3
    | op(e3,e1) = e2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_661,c_0_634]),c_0_662]),c_0_661]) ).

cnf(c_0_668,plain,
    ( op(e2,e1) = e3
    | op(e2,e0) = e3
    | op(e2,e1) = e2 ),
    inference(sr,[status(thm)],[c_0_663,c_0_636]) ).

cnf(c_0_669,plain,
    ( op(e2,e0) = e2
    | op(e2,e1) = e2
    | op(e2,e0) = e0
    | op(e1,e0) = e0
    | op(e1,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_448,c_0_664]) ).

cnf(c_0_670,plain,
    ( op(e1,e3) = e1
    | op(e1,e2) = e1 ),
    inference(sr,[status(thm)],[c_0_407,c_0_630]) ).

cnf(c_0_671,plain,
    ( op(e3,e1) = e1
    | op(e1,e0) = e1
    | op(e1,e2) = e1
    | op(e1,e2) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_665]),c_0_666]) ).

cnf(c_0_672,plain,
    ( op(e3,e1) = e2
    | op(e0,e1) = e1
    | op(e2,e1) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_546,c_0_667]),c_0_493]) ).

cnf(c_0_673,plain,
    ( op(e2,e1) = e2
    | op(e2,e1) = e3
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_426,c_0_668]) ).

cnf(c_0_674,plain,
    ( op(e1,e0) = e2
    | op(e2,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_377,c_0_662]) ).

cnf(c_0_675,plain,
    ( op(e1,e2) = e1
    | op(e2,e0) = e0
    | op(e2,e1) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_669,c_0_670]),c_0_636]),c_0_631]) ).

cnf(c_0_676,plain,
    ( op(e1,e2) = e2
    | op(e1,e2) = e1
    | op(e3,e1) = e1 ),
    inference(sr,[status(thm)],[c_0_671,c_0_630]) ).

cnf(c_0_677,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e2,e1) = e2 ),
    inference(sr,[status(thm)],[c_0_517,c_0_636]) ).

cnf(c_0_678,plain,
    ( op(e0,e1) = e1
    | op(e2,e1) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_546,c_0_672]),c_0_480]) ).

cnf(c_0_679,plain,
    ( op(e1,e0) = e2
    | op(e2,e1) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_673,c_0_634]),c_0_674]) ).

cnf(c_0_680,plain,
    ( op(e1,e0) = e2
    | op(e0,e1) = e1
    | op(e2,e1) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_546,c_0_662]),c_0_493]) ).

cnf(c_0_681,plain,
    ( op(e1,e2) = e1
    | op(e2,e1) = e2
    | op(e2,e1) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_668,c_0_675]),c_0_501]) ).

cnf(c_0_682,plain,
    ( op(e1,e2) = e1
    | op(e1,e2) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_667,c_0_676]),c_0_493]),c_0_480]) ).

cnf(c_0_683,plain,
    op(e1,e0) != op(e0,e0),
    i_0_96 ).

cnf(c_0_684,plain,
    ( op(e0,e1) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_677,c_0_678]),c_0_480]) ).

cnf(c_0_685,plain,
    ( op(e0,e1) = e1
    | op(e1,e0) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_679,c_0_680]),c_0_480]) ).

cnf(c_0_686,plain,
    op(e0,e1) != e0,
    inference(rw,[status(thm)],[c_0_359,c_0_628]) ).

cnf(c_0_687,plain,
    ( op(e2,e1) = e2
    | op(e1,e2) = e1
    | op(e0,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_369,c_0_681]) ).

cnf(c_0_688,plain,
    ( op(e1,e2) = e1
    | op(e1,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_617,c_0_682]) ).

cnf(c_0_689,plain,
    ( op(e0,e0) = e1
    | op(e0,e1) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_683,c_0_684]),c_0_685]) ).

cnf(c_0_690,plain,
    ( op(e0,e0) != e1
    | op(e0,op(e0,e0)) != e3
    | op(op(e0,op(e0,e0)),op(e0,e0)) != e2 ),
    i_0_188 ).

cnf(c_0_691,plain,
    ( op(e3,e1) = e2
    | op(e0,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_367,c_0_667]) ).

cnf(c_0_692,plain,
    ( op(e0,e1) = e1
    | op(e0,e1) = e2
    | op(e0,e1) = e3 ),
    inference(sr,[status(thm)],[c_0_360,c_0_686]) ).

cnf(c_0_693,plain,
    ( op(e2,e1) != e2
    | op(e2,e2) != e1 ),
    i_0_128 ).

cnf(c_0_694,plain,
    ( op(e1,e2) = e1
    | op(e2,e1) = e2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_687,c_0_685]),c_0_679]),c_0_688]) ).

cnf(c_0_695,plain,
    ( op(e0,e1) = e1
    | op(e3,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_548,c_0_689]) ).

cnf(c_0_696,plain,
    ( op(e0,e1) = e1
    | op(op(e0,e1),e1) != e2
    | op(e0,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_690,c_0_689]) ).

cnf(c_0_697,plain,
    ( op(e0,e1) = e2
    | op(e0,e1) = e1
    | op(e3,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_691,c_0_692]) ).

cnf(c_0_698,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e0
    | op(e2,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_557,c_0_431]) ).

cnf(c_0_699,plain,
    ( op(e1,e2) = e1
    | op(e2,e2) = e0
    | op(e2,e2) = e1 ),
    inference(sr,[status(thm)],[c_0_552,c_0_630]) ).

cnf(c_0_700,plain,
    ( op(e1,e2) = e1
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_693,c_0_694]) ).

cnf(c_0_701,plain,
    ( op(e3,e1) = e2
    | op(e0,e1) = e1 ),
    inference(spm,[status(thm)],[c_0_695,c_0_667]) ).

cnf(c_0_702,plain,
    ( op(e0,e1) = e2
    | op(e0,e1) = e1 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_696,c_0_692]),c_0_493]),c_0_697]) ).

cnf(c_0_703,plain,
    ( op(e2,e2) != e0
    | op(e2,op(e2,e2)) != e3
    | op(op(e2,op(e2,e2)),op(e2,e2)) != e1 ),
    i_0_185 ).

cnf(c_0_704,plain,
    ( op(e1,e2) = e1
    | op(e2,e2) = e0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_698,c_0_694]),c_0_699]),c_0_700]) ).

cnf(c_0_705,plain,
    ( op(e0,e0) = e1
    | op(e1,e0) = e1
    | op(e2,e0) = e1
    | op(e3,e0) = e1 ),
    i_0_45 ).

cnf(c_0_706,plain,
    op(e0,e1) = e1,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_701]),c_0_702]) ).

cnf(c_0_707,plain,
    ( op(e1,e0) = e3
    | op(e1,e1) = e3
    | op(e1,e2) = e3
    | op(e1,e3) = e3 ),
    i_0_34 ).

cnf(c_0_708,plain,
    ( op(e1,e2) = e1
    | op(op(e2,e0),e0) != e1
    | op(e2,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_703,c_0_704]) ).

cnf(c_0_709,plain,
    ( op(e2,e0) = e1
    | op(e2,e0) = e0
    | op(e2,e0) = e3 ),
    inference(sr,[status(thm)],[c_0_429,c_0_636]) ).

cnf(c_0_710,plain,
    ( op(e1,e2) = e1
    | op(e2,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_443,c_0_704]) ).

cnf(c_0_711,plain,
    ( op(e0,e0) = e1
    | op(e2,e0) = e1
    | op(e3,e0) = e1 ),
    inference(sr,[status(thm)],[c_0_705,c_0_630]) ).

cnf(c_0_712,plain,
    op(e0,e0) != e1,
    inference(rw,[status(thm)],[c_0_582,c_0_706]) ).

cnf(c_0_713,plain,
    ( op(e1,e0) = e3
    | op(e1,e2) = e3
    | op(e1,e3) = e3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_707,c_0_628]),c_0_501]) ).

cnf(c_0_714,plain,
    ( op(e2,e2) != e0
    | op(e2,op(e2,e2)) != e1
    | op(op(e2,op(e2,e2)),op(e2,e2)) != e3 ),
    i_0_174 ).

cnf(c_0_715,plain,
    ( op(e2,e0) = e1
    | op(e1,e2) = e1
    | op(e3,e0) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_708,c_0_709]),c_0_710]) ).

cnf(c_0_716,plain,
    ( op(e3,e0) = e1
    | op(e2,e0) = e1 ),
    inference(sr,[status(thm)],[c_0_711,c_0_712]) ).

cnf(c_0_717,plain,
    ( op(e1,e2) = e3
    | op(e1,e0) = e3
    | op(e1,e2) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_670,c_0_713]),c_0_493]) ).

cnf(c_0_718,plain,
    op(e0,e3) != op(e0,e1),
    i_0_68 ).

cnf(c_0_719,plain,
    ( op(e1,e2) = e2
    | op(e1,e2) = e1
    | op(e0,e2) = e2 ),
    inference(sr,[status(thm)],[c_0_575,c_0_630]) ).

cnf(c_0_720,plain,
    ( op(e1,e2) = e1
    | op(op(e2,e0),e0) != e3
    | op(e2,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_714,c_0_704]) ).

cnf(c_0_721,plain,
    ( op(e1,e2) = e1
    | op(e2,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_715,c_0_716]) ).

cnf(c_0_722,plain,
    ( op(e1,e2) = e1
    | op(e1,e0) = e3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_682,c_0_717]),c_0_493]),c_0_399]) ).

cnf(c_0_723,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_385,c_0_390]) ).

cnf(c_0_724,plain,
    ( op(e0,e0) = e2
    | op(e0,e0) = e3 ),
    inference(sr,[status(thm)],[c_0_390,c_0_712]) ).

cnf(c_0_725,plain,
    op(e0,e3) != e1,
    inference(rw,[status(thm)],[c_0_718,c_0_706]) ).

cnf(c_0_726,plain,
    ( op(e1,e2) = e2
    | op(e0,e0) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_719]),c_0_446]) ).

cnf(c_0_727,plain,
    op(e1,e2) = e1,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_720,c_0_721]),c_0_722]) ).

cnf(c_0_728,plain,
    ( op(e0,e1) = e0
    | op(e0,e2) = e0
    | op(e0,e0) = e2
    | op(e0,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_723,c_0_330]) ).

cnf(c_0_729,plain,
    ( op(e3,e0) = e0
    | op(e3,e0) = e1
    | op(e3,e0) = e2
    | op(e3,e0) = e3 ),
    i_0_4 ).

cnf(c_0_730,plain,
    ( op(e0,e0) = e2
    | op(op(e0,e3),e3) != e1
    | op(e0,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_389,c_0_724]) ).

cnf(c_0_731,plain,
    ( op(e0,e0) = e2
    | op(e0,e3) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_724]),c_0_725]) ).

cnf(c_0_732,plain,
    op(e0,e0) != e2,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_726,c_0_727]),c_0_480]) ).

cnf(c_0_733,plain,
    ( op(e2,e1) = e2
    | op(e0,e0) = e2 ),
    inference(sr,[status(thm)],[c_0_677,c_0_712]) ).

cnf(c_0_734,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e2) = e0 ),
    inference(sr,[status(thm)],[c_0_728,c_0_686]) ).

cnf(c_0_735,plain,
    ( op(e3,e0) = e1
    | op(e3,e0) = e0
    | op(e3,e0) = e2 ),
    inference(sr,[status(thm)],[c_0_729,c_0_644]) ).

cnf(c_0_736,plain,
    ( op(e0,e0) = e2
    | op(e2,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_730,c_0_731]) ).

cnf(c_0_737,plain,
    op(e0,e0) = e3,
    inference(sr,[status(thm)],[c_0_724,c_0_732]) ).

cnf(c_0_738,plain,
    ( op(e0,e0) = e2
    | op(e3,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_350,c_0_733]) ).

cnf(c_0_739,plain,
    ( op(e0,e2) = e0
    | op(e0,e0) = e2 ),
    inference(sr,[status(thm)],[c_0_734,c_0_712]) ).

cnf(c_0_740,plain,
    ( op(e3,e0) = e0
    | op(e3,e0) = e1
    | op(e1,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_652,c_0_735]) ).

cnf(c_0_741,plain,
    ( op(e1,e3) = e1
    | op(e0,e3) = e1
    | op(e2,e3) = e1
    | op(e3,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_648,c_0_404]) ).

cnf(c_0_742,plain,
    op(e0,e3) = e2,
    inference(sr,[status(thm)],[c_0_731,c_0_732]) ).

cnf(c_0_743,plain,
    op(e1,e3) != e1,
    inference(rw,[status(thm)],[c_0_467,c_0_727]) ).

cnf(c_0_744,plain,
    op(e2,e3) != e1,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_736,c_0_737]),c_0_399]) ).

cnf(c_0_745,plain,
    op(e3,e3) != e1,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_738,c_0_737]),c_0_399]) ).

cnf(c_0_746,plain,
    op(e3,e2) != op(e0,e2),
    i_0_82 ).

cnf(c_0_747,plain,
    op(e0,e2) = e0,
    inference(sr,[status(thm)],[c_0_739,c_0_732]) ).

cnf(c_0_748,plain,
    ( op(e3,e0) = e0
    | op(e3,e0) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_640,c_0_735]),c_0_740]) ).

cnf(c_0_749,plain,
    op(e3,e0) != e1,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_741,c_0_742]),c_0_743]),c_0_480]),c_0_744]) ).

cnf(c_0_750,plain,
    ( op(e3,e2) = e1
    | op(e3,e2) = e0
    | op(e3,e3) = e1
    | op(e3,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_648,c_0_610]) ).

cnf(c_0_751,plain,
    op(e3,e3) = e0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_518,c_0_742])]),c_0_745]) ).

cnf(c_0_752,plain,
    op(e3,e2) != e1,
    inference(rw,[status(thm)],[c_0_528,c_0_727]) ).

cnf(c_0_753,plain,
    op(e3,e2) != e0,
    inference(rw,[status(thm)],[c_0_746,c_0_747]) ).

cnf(c_0_754,plain,
    op(e3,e0) = e0,
    inference(sr,[status(thm)],[c_0_748,c_0_749]) ).

cnf(c_0_755,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_750,c_0_751]),c_0_752]),c_0_753]),c_0_556]),c_0_754])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : ALG136+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n028.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 18:35:33 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 13.25/3.04  # ENIGMATIC: Solved by paramils045:
% 13.25/3.04  # Preprocessing time       : 0.013 s
% 13.25/3.04  
% 13.25/3.04  # Proof found!
% 13.25/3.04  # SZS status Theorem
% 13.25/3.04  # SZS output start CNFRefutation
% See solution above
% 13.25/3.04  # Training examples: 0 positive, 0 negative
% 13.25/3.04  
% 13.25/3.04  # -------------------------------------------------
% 13.25/3.04  # User time                : 0.651 s
% 13.25/3.04  # System time              : 0.009 s
% 13.25/3.04  # Total time               : 0.660 s
% 13.25/3.04  # ...preprocessing         : 0.013 s
% 13.25/3.04  # ...main loop             : 0.647 s
% 13.25/3.04  # Maximum resident set size: 16068 pages
% 13.25/3.04  
%------------------------------------------------------------------------------