%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG024+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 14 14:42:05 EDT 2022

% Result   : Unsatisfiable 11.38s 2.84s
% Output   : CNFRefutation 11.38s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_96,plain,
    op(inv(e2),e2) = unit,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_96) ).

cnf(i_0_114,plain,
    ( inv(e2) = e1
    | inv(e1) != e2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_114) ).

cnf(i_0_141,plain,
    op(e1,e2) != op(e1,e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_141) ).

cnf(i_0_12,plain,
    ( op(e1,e0) = e0
    | op(e1,e0) = e1
    | op(e1,e0) = e2
    | op(e1,e0) = e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_12) ).

cnf(i_0_168,plain,
    op(e3,e0) != op(e1,e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_168) ).

cnf(i_0_81,plain,
    ( e0 = unit
    | e1 = unit
    | e2 = unit
    | e3 = unit ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_81) ).

cnf(i_0_89,plain,
    op(unit,e0) = e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_89) ).

cnf(i_0_140,plain,
    op(e1,e3) != op(e1,e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_140) ).

cnf(i_0_86,plain,
    op(e1,unit) = e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_86) ).

cnf(i_0_120,plain,
    inv(e3) != inv(e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_120) ).

cnf(i_0_102,plain,
    inv(unit) = unit,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_102) ).

cnf(i_0_97,plain,
    op(e2,inv(e2)) = unit,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_97) ).

cnf(i_0_92,plain,
    ( inv(e1) = e0
    | inv(e1) = e1
    | inv(e1) = e2
    | inv(e1) = e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_92) ).

cnf(i_0_160,plain,
    op(e1,e2) != op(e0,e2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_160) ).

cnf(i_0_44,plain,
    op(op(e2,e1),e0) = op(e2,op(e1,e0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_44) ).

cnf(i_0_14,plain,
    ( op(e0,e2) = e0
    | op(e0,e2) = e1
    | op(e0,e2) = e2
    | op(e0,e2) = e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_14) ).

cnf(i_0_143,plain,
    op(e0,e3) != op(e0,e2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_143) ).

cnf(i_0_88,plain,
    op(e0,unit) = e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_88) ).

cnf(i_0_158,plain,
    op(e3,e2) != op(e0,e2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_158) ).

cnf(i_0_85,plain,
    op(unit,e2) = e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_85) ).

cnf(i_0_117,plain,
    ( inv(e2) = e0
    | inv(e0) != e2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_117) ).

cnf(i_0_145,plain,
    op(e0,e2) != op(e0,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_145) ).

cnf(i_0_204,plain,
    ( op(e2,e2) != e0
    | op(e2,op(e2,e2)) != e1
    | op(op(e2,op(e2,e2)),e2) != e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_204) ).

cnf(i_0_46,plain,
    op(op(e2,e0),e2) = op(e2,op(e0,e2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_46) ).

cnf(i_0_38,plain,
    op(op(e2,e2),e2) = op(e2,op(e2,e2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_38) ).

cnf(i_0_15,plain,
    ( op(e0,e1) = e0
    | op(e0,e1) = e1
    | op(e0,e1) = e2
    | op(e0,e1) = e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_15) ).

cnf(i_0_144,plain,
    op(e0,e3) != op(e0,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_144) ).

cnf(i_0_164,plain,
    op(e3,e1) != op(e0,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_164) ).

cnf(i_0_87,plain,
    op(unit,e1) = e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_87) ).

cnf(i_0_122,plain,
    inv(e3) != inv(e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_122) ).

cnf(i_0_93,plain,
    ( inv(e0) = e0
    | inv(e0) = e1
    | inv(e0) = e2
    | inv(e0) = e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_93) ).

cnf(i_0_98,plain,
    op(inv(e1),e1) = unit,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_98) ).

cnf(i_0_169,plain,
    op(e2,e0) != op(e1,e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_169) ).

cnf(i_0_47,plain,
    op(op(e2,e0),e1) = op(e2,op(e0,e1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_47) ).

cnf(i_0_99,plain,
    op(e1,inv(e1)) = unit,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_99) ).

cnf(i_0_118,plain,
    ( inv(e1) = e0
    | inv(e0) != e1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_118) ).

cnf(i_0_202,plain,
    ( op(e2,e2) != e1
    | op(e2,op(e2,e2)) != e0
    | op(op(e2,op(e2,e2)),e2) != e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_202) ).

cnf(i_0_42,plain,
    op(op(e2,e1),e2) = op(e2,op(e1,e2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_42) ).

cnf(i_0_60,plain,
    op(op(e1,e1),e0) = op(e1,op(e1,e0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_60) ).

cnf(i_0_172,plain,
    op(e1,e0) != op(e0,e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_172) ).

cnf(i_0_16,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_16) ).

cnf(i_0_146,plain,
    op(e0,e3) != op(e0,e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_146) ).

cnf(i_0_115,plain,
    ( inv(e0) = e1
    | inv(e1) != e0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_115) ).

cnf(i_0_100,plain,
    op(inv(e0),e0) = unit,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_100) ).

cnf(i_0_203,plain,
    ( op(e0,e0) != e2
    | op(e0,op(e0,e0)) != e1
    | op(op(e0,op(e0,e0)),e0) != e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_203) ).

cnf(i_0_72,plain,
    op(op(e0,e2),e0) = op(e0,op(e2,e0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_72) ).

cnf(i_0_147,plain,
    op(e0,e2) != op(e0,e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_147) ).

cnf(i_0_83,plain,
    op(unit,e3) = e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_83) ).

cnf(i_0_179,plain,
    ( op(e0,e0) != e3
    | op(e1,e1) != e3
    | op(e2,e2) != e3
    | op(e3,e3) != e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_179) ).

cnf(i_0_101,plain,
    op(e0,inv(e0)) = unit,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_101) ).

cnf(i_0_119,plain,
    inv(e3) != inv(e2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_119) ).

cnf(i_0_91,plain,
    ( inv(e2) = e0
    | inv(e2) = e1
    | inv(e2) = e2
    | inv(e2) = e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_91) ).

cnf(i_0_121,plain,
    inv(e2) != inv(e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_121) ).

cnf(i_0_123,plain,
    inv(e2) != inv(e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_123) ).

cnf(i_0_151,plain,
    op(e2,e3) != op(e1,e3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_151) ).

cnf(i_0_5,plain,
    ( op(e2,e3) = e0
    | op(e2,e3) = e1
    | op(e2,e3) = e2
    | op(e2,e3) = e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_5) ).

cnf(i_0_110,plain,
    ( inv(e3) = e2
    | inv(e2) != e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_110) ).

cnf(i_0_105,plain,
    inv(inv(e1)) = e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_105) ).

cnf(i_0_125,plain,
    op(e3,e3) != op(e3,e2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_125) ).

cnf(i_0_1,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_1) ).

cnf(i_0_9,plain,
    ( op(e1,e3) = e0
    | op(e1,e3) = e1
    | op(e1,e3) = e2
    | op(e1,e3) = e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_9) ).

cnf(i_0_82,plain,
    op(e3,unit) = e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_82) ).

cnf(i_0_176,plain,
    e3 != e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_176) ).

cnf(i_0_174,plain,
    e3 != e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_174) ).

cnf(i_0_17,plain,
    op(op(e3,e3),e3) = op(e3,op(e3,e3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_17) ).

cnf(i_0_137,plain,
    op(e1,e3) != op(e1,e2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_137) ).

cnf(i_0_150,plain,
    op(e3,e3) != op(e1,e3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_150) ).

cnf(i_0_106,plain,
    inv(inv(e0)) = e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_106) ).

cnf(i_0_113,plain,
    ( inv(e3) = e1
    | inv(e1) != e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_113) ).

cnf(i_0_116,plain,
    ( inv(e3) = e0
    | inv(e0) != e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_116) ).

cnf(i_0_127,plain,
    op(e3,e2) != op(e3,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_127) ).

cnf(i_0_178,plain,
    e1 != e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_178) ).

cnf(i_0_124,plain,
    inv(e1) != inv(e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_124) ).

cnf(i_0_126,plain,
    op(e3,e3) != op(e3,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_126) ).

cnf(i_0_3,plain,
    ( op(e3,e1) = e0
    | op(e3,e1) = e1
    | op(e3,e1) = e2
    | op(e3,e1) = e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_3) ).

cnf(i_0_177,plain,
    e2 != e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_177) ).

cnf(i_0_161,plain,
    op(e3,e1) != op(e2,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_161) ).

cnf(i_0_51,plain,
    op(op(e1,e3),e1) = op(e1,op(e3,e1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_51) ).

cnf(i_0_73,plain,
    op(op(e0,e1),e3) = op(e0,op(e1,e3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_73) ).

cnf(i_0_57,plain,
    op(op(e1,e1),e3) = op(e1,op(e1,e3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_57) ).

cnf(i_0_30,plain,
    op(op(e3,e0),e2) = op(e3,op(e0,e2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_30) ).

cnf(i_0_66,plain,
    op(op(e0,e3),e2) = op(e0,op(e3,e2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_66) ).

cnf(i_0_31,plain,
    op(op(e3,e0),e1) = op(e3,op(e0,e1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_31) ).

cnf(i_0_65,plain,
    op(op(e0,e3),e3) = op(e0,op(e3,e3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_65) ).

cnf(i_0_196,plain,
    ( op(e3,e3) != e1
    | op(e3,op(e3,e3)) != e0
    | op(op(e3,op(e3,e3)),e3) != e2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_196) ).

cnf(i_0_25,plain,
    op(op(e3,e1),e3) = op(e3,op(e1,e3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_25) ).

cnf(i_0_153,plain,
    op(e2,e3) != op(e0,e3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_153) ).

cnf(i_0_13,plain,
    ( op(e0,e3) = e0
    | op(e0,e3) = e1
    | op(e0,e3) = e2
    | op(e0,e3) = e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_13) ).

cnf(i_0_129,plain,
    op(e3,e2) != op(e3,e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_129) ).

cnf(i_0_4,plain,
    ( op(e3,e0) = e0
    | op(e3,e0) = e1
    | op(e3,e0) = e2
    | op(e3,e0) = e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_4) ).

cnf(i_0_197,plain,
    ( op(e0,e0) != e3
    | op(e0,op(e0,e0)) != e1
    | op(op(e0,op(e0,e0)),e0) != e2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_197) ).

cnf(i_0_68,plain,
    op(op(e0,e3),e0) = op(e0,op(e3,e0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_68) ).

cnf(i_0_154,plain,
    op(e1,e3) != op(e0,e3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_154) ).

cnf(i_0_130,plain,
    op(e3,e1) != op(e3,e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_130) ).

cnf(i_0_77,plain,
    op(op(e0,e0),e3) = op(e0,op(e0,e3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_77) ).

cnf(i_0_79,plain,
    op(op(e0,e0),e1) = op(e0,op(e0,e1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_79) ).

cnf(i_0_152,plain,
    op(e3,e3) != op(e0,e3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_152) ).

cnf(i_0_198,plain,
    ( op(e3,e3) != e0
    | op(e3,op(e3,e3)) != e1
    | op(op(e3,op(e3,e3)),e3) != e2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_198) ).

cnf(i_0_29,plain,
    op(op(e3,e0),e3) = op(e3,op(e0,e3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_29) ).

cnf(i_0_52,plain,
    op(op(e1,e3),e0) = op(e1,op(e3,e0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_52) ).

cnf(i_0_63,plain,
    op(op(e1,e0),e1) = op(e1,op(e0,e1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_63) ).

cnf(i_0_61,plain,
    op(op(e1,e0),e3) = op(e1,op(e0,e3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_61) ).

cnf(i_0_180,plain,
    ( op(e0,e0) != e2
    | op(e1,e1) != e2
    | op(e2,e2) != e2
    | op(e3,e3) != e2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_180) ).

cnf(i_0_2,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e1
    | op(e3,e2) = e2
    | op(e3,e2) = e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_2) ).

cnf(i_0_156,plain,
    op(e3,e2) != op(e1,e2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_156) ).

cnf(i_0_132,plain,
    op(e2,e3) != op(e2,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_132) ).

cnf(i_0_84,plain,
    op(e2,unit) = e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_84) ).

cnf(i_0_67,plain,
    op(op(e0,e3),e1) = op(e0,op(e3,e1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_67) ).

cnf(i_0_149,plain,
    op(e3,e3) != op(e2,e3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_149) ).

cnf(i_0_190,plain,
    ( op(e3,e3) != e2
    | op(e3,op(e3,e3)) != e0
    | op(op(e3,op(e3,e3)),e3) != e1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_190) ).

cnf(i_0_21,plain,
    op(op(e3,e2),e3) = op(e3,op(e2,e3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_21) ).

cnf(i_0_167,plain,
    op(e3,e0) != op(e2,e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_167) ).

cnf(i_0_69,plain,
    op(op(e0,e2),e3) = op(e0,op(e2,e3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_69) ).

cnf(i_0_45,plain,
    op(op(e2,e0),e3) = op(e2,op(e0,e3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_45) ).

cnf(i_0_173,plain,
    e3 != e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_173) ).

cnf(i_0_70,plain,
    op(op(e0,e2),e2) = op(e0,op(e2,e2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_70) ).

cnf(i_0_191,plain,
    ( op(e0,e0) != e3
    | op(e0,op(e0,e0)) != e2
    | op(op(e0,op(e0,e0)),e0) != e1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_191) ).

cnf(i_0_78,plain,
    op(op(e0,e0),e2) = op(e0,op(e0,e2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_78) ).

cnf(i_0_192,plain,
    ( op(e3,e3) != e0
    | op(e3,op(e3,e3)) != e2
    | op(op(e3,op(e3,e3)),e3) != e1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_192) ).

cnf(i_0_34,plain,
    op(op(e2,e3),e2) = op(e2,op(e3,e2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_34) ).

cnf(i_0_36,plain,
    op(op(e2,e3),e0) = op(e2,op(e3,e0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_36) ).

cnf(i_0_181,plain,
    ( op(e0,e0) != e1
    | op(e1,e1) != e1
    | op(e2,e2) != e1
    | op(e3,e3) != e1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_181) ).

cnf(i_0_41,plain,
    op(op(e2,e1),e3) = op(e2,op(e1,e3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_41) ).

cnf(i_0_7,plain,
    ( op(e2,e1) = e0
    | op(e2,e1) = e1
    | op(e2,e1) = e2
    | op(e2,e1) = e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_7) ).

cnf(i_0_94,plain,
    op(inv(e3),e3) = unit,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_94) ).

cnf(i_0_95,plain,
    op(e3,inv(e3)) = unit,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_95) ).

cnf(i_0_165,plain,
    op(e2,e1) != op(e0,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_165) ).

cnf(i_0_136,plain,
    op(e2,e1) != op(e2,e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_136) ).

cnf(i_0_19,plain,
    op(op(e3,e3),e1) = op(e3,op(e3,e1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_19) ).

cnf(i_0_50,plain,
    op(op(e1,e3),e2) = op(e1,op(e3,e2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_50) ).

cnf(i_0_39,plain,
    op(op(e2,e2),e1) = op(e2,op(e2,e1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_39) ).

cnf(i_0_184,plain,
    ( op(e3,e3) != e2
    | op(e3,op(e3,e3)) != e1
    | op(op(e3,op(e3,e3)),e3) != e0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_184) ).

cnf(i_0_27,plain,
    op(op(e3,e1),e1) = op(e3,op(e1,e1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_27) ).

cnf(i_0_103,plain,
    inv(inv(e3)) = e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_103) ).

cnf(i_0_53,plain,
    op(op(e1,e2),e3) = op(e1,op(e2,e3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_53) ).

cnf(i_0_35,plain,
    op(op(e2,e3),e1) = op(e2,op(e3,e1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_35) ).

cnf(i_0_134,plain,
    op(e2,e3) != op(e2,e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_134) ).

cnf(i_0_10,plain,
    ( op(e1,e2) = e0
    | op(e1,e2) = e1
    | op(e1,e2) = e2
    | op(e1,e2) = e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_10) ).

cnf(i_0_186,plain,
    ( op(e3,e3) != e1
    | op(e3,op(e3,e3)) != e2
    | op(op(e3,op(e3,e3)),e3) != e0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_186) ).

cnf(i_0_185,plain,
    ( op(e1,e1) != e3
    | op(e1,op(e1,e1)) != e2
    | op(op(e1,op(e1,e1)),e1) != e0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_185) ).

cnf(i_0_59,plain,
    op(op(e1,e1),e1) = op(e1,op(e1,e1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_59) ).

cnf(i_0_104,plain,
    inv(inv(e2)) = e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_104) ).

cnf(i_0_90,plain,
    ( inv(e3) = e0
    | inv(e3) = e1
    | inv(e3) = e2
    | inv(e3) = e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_90) ).

cnf(i_0_111,plain,
    ( inv(e1) = e2
    | inv(e2) != e1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_111) ).

cnf(i_0_175,plain,
    e2 != e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_175) ).

cnf(i_0_182,plain,
    ( op(e0,e0) != e0
    | op(e1,e1) != e0
    | op(e2,e2) != e0
    | op(e3,e3) != e0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_182) ).

cnf(i_0_107,plain,
    ( inv(e2) = e3
    | inv(e3) != e2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_107) ).

cnf(i_0_108,plain,
    ( inv(e1) = e3
    | inv(e3) != e1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-45aycnlv/lgb.p',i_0_108) ).

cnf(c_0_353,plain,
    op(inv(e2),e2) = unit,
    i_0_96 ).

cnf(c_0_354,plain,
    ( inv(e2) = e1
    | inv(e1) != e2 ),
    i_0_114 ).

cnf(c_0_355,plain,
    op(e1,e2) != op(e1,e0),
    i_0_141 ).

cnf(c_0_356,plain,
    ( op(e1,e2) = unit
    | inv(e1) != e2 ),
    inference(spm,[status(thm)],[c_0_353,c_0_354]) ).

cnf(c_0_357,plain,
    ( op(e1,e0) != unit
    | inv(e1) != e2 ),
    inference(spm,[status(thm)],[c_0_355,c_0_356]) ).

cnf(c_0_358,plain,
    ( op(e1,e0) = e0
    | op(e1,e0) = e1
    | op(e1,e0) = e2
    | op(e1,e0) = e3 ),
    i_0_12 ).

cnf(c_0_359,plain,
    op(e3,e0) != op(e1,e0),
    i_0_168 ).

cnf(c_0_360,plain,
    ( e0 = unit
    | e1 = unit
    | e2 = unit
    | e3 = unit ),
    i_0_81 ).

cnf(c_0_361,plain,
    op(unit,e0) = e0,
    i_0_89 ).

cnf(c_0_362,plain,
    op(e1,e3) != op(e1,e0),
    i_0_140 ).

cnf(c_0_363,plain,
    op(e1,unit) = e1,
    i_0_86 ).

cnf(c_0_364,plain,
    inv(e3) != inv(e1),
    i_0_120 ).

cnf(c_0_365,plain,
    inv(unit) = unit,
    i_0_102 ).

cnf(c_0_366,plain,
    op(e2,inv(e2)) = unit,
    i_0_97 ).

cnf(c_0_367,plain,
    ( op(e1,e0) = e2
    | op(e1,e0) = e1
    | op(e1,e0) = e0
    | inv(e1) != e2
    | e3 != unit ),
    inference(spm,[status(thm)],[c_0_357,c_0_358]) ).

cnf(c_0_368,plain,
    ( e2 = unit
    | e1 = unit
    | e0 = unit
    | op(e1,e0) != e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_360]),c_0_361]) ).

cnf(c_0_369,plain,
    ( e2 = unit
    | e1 = unit
    | e0 = unit
    | op(e1,e0) != e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_360]),c_0_363]) ).

cnf(c_0_370,plain,
    ( e2 = unit
    | e1 = unit
    | e0 = unit
    | inv(e1) != unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_360]),c_0_365]) ).

cnf(c_0_371,plain,
    ( inv(e1) = e0
    | inv(e1) = e1
    | inv(e1) = e2
    | inv(e1) = e3 ),
    i_0_92 ).

cnf(c_0_372,plain,
    op(e1,e2) != op(e0,e2),
    i_0_160 ).

cnf(c_0_373,plain,
    op(op(e2,e1),e0) = op(e2,op(e1,e0)),
    i_0_44 ).

cnf(c_0_374,plain,
    ( op(e2,e1) = unit
    | inv(e1) != e2 ),
    inference(spm,[status(thm)],[c_0_366,c_0_354]) ).

cnf(c_0_375,plain,
    ( op(e1,e0) = e2
    | e2 = unit
    | e1 = unit
    | e0 = unit
    | inv(e1) != e2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_360]),c_0_368]),c_0_369]) ).

cnf(c_0_376,plain,
    ( inv(e1) = e2
    | inv(e1) = e1
    | inv(e1) = e0
    | e0 = unit
    | e1 = unit
    | e2 = unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_371]),c_0_360]) ).

cnf(c_0_377,plain,
    ( op(e0,e2) != unit
    | inv(e1) != e2 ),
    inference(spm,[status(thm)],[c_0_372,c_0_356]) ).

cnf(c_0_378,plain,
    ( op(e0,e2) = e0
    | op(e0,e2) = e1
    | op(e0,e2) = e2
    | op(e0,e2) = e3 ),
    i_0_14 ).

cnf(c_0_379,plain,
    op(e0,e3) != op(e0,e2),
    i_0_143 ).

cnf(c_0_380,plain,
    op(e0,unit) = e0,
    i_0_88 ).

cnf(c_0_381,plain,
    op(e3,e2) != op(e0,e2),
    i_0_158 ).

cnf(c_0_382,plain,
    op(unit,e2) = e2,
    i_0_85 ).

cnf(c_0_383,plain,
    ( inv(e2) = e0
    | inv(e0) != e2 ),
    i_0_117 ).

cnf(c_0_384,plain,
    ( op(e2,op(e1,e0)) = e0
    | inv(e1) != e2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_374]),c_0_361]) ).

cnf(c_0_385,plain,
    ( op(e1,e0) = e2
    | inv(e1) = e0
    | inv(e1) = e1
    | e0 = unit
    | e1 = unit
    | e2 = unit ),
    inference(spm,[status(thm)],[c_0_375,c_0_376]) ).

cnf(c_0_386,plain,
    ( op(e0,e2) = e2
    | op(e0,e2) = e1
    | op(e0,e2) = e0
    | inv(e1) != e2
    | e3 != unit ),
    inference(spm,[status(thm)],[c_0_377,c_0_378]) ).

cnf(c_0_387,plain,
    ( e2 = unit
    | e1 = unit
    | e0 = unit
    | op(e0,e2) != e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_360]),c_0_380]) ).

cnf(c_0_388,plain,
    ( e2 = unit
    | e1 = unit
    | e0 = unit
    | op(e0,e2) != e2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_360]),c_0_382]) ).

cnf(c_0_389,plain,
    op(e0,e2) != op(e0,e1),
    i_0_145 ).

cnf(c_0_390,plain,
    ( op(e0,e2) = unit
    | inv(e0) != e2 ),
    inference(spm,[status(thm)],[c_0_353,c_0_383]) ).

cnf(c_0_391,plain,
    ( op(e2,e2) != e0
    | op(e2,op(e2,e2)) != e1
    | op(op(e2,op(e2,e2)),e2) != e3 ),
    i_0_204 ).

cnf(c_0_392,plain,
    ( op(e2,e2) = e0
    | inv(e1) = e1
    | inv(e1) = e0
    | e2 = unit
    | e1 = unit
    | e0 = unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_385]),c_0_376]) ).

cnf(c_0_393,plain,
    op(op(e2,e0),e2) = op(e2,op(e0,e2)),
    i_0_46 ).

cnf(c_0_394,plain,
    op(op(e2,e2),e2) = op(e2,op(e2,e2)),
    i_0_38 ).

cnf(c_0_395,plain,
    ( op(e0,e2) = e1
    | e2 = unit
    | e1 = unit
    | e0 = unit
    | inv(e1) != e2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_360]),c_0_387]),c_0_388]) ).

cnf(c_0_396,plain,
    ( op(e0,e1) != unit
    | inv(e0) != e2 ),
    inference(spm,[status(thm)],[c_0_389,c_0_390]) ).

cnf(c_0_397,plain,
    ( op(e0,e1) = e0
    | op(e0,e1) = e1
    | op(e0,e1) = e2
    | op(e0,e1) = e3 ),
    i_0_15 ).

cnf(c_0_398,plain,
    op(e0,e3) != op(e0,e1),
    i_0_144 ).

cnf(c_0_399,plain,
    op(e3,e1) != op(e0,e1),
    i_0_164 ).

cnf(c_0_400,plain,
    op(unit,e1) = e1,
    i_0_87 ).

cnf(c_0_401,plain,
    inv(e3) != inv(e0),
    i_0_122 ).

cnf(c_0_402,plain,
    ( inv(e1) = e0
    | inv(e1) = e1
    | e0 = unit
    | e1 = unit
    | e2 = unit
    | op(e2,op(e0,e2)) != e3
    | op(e2,e0) != e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_392]),c_0_393]) ).

cnf(c_0_403,plain,
    ( op(e2,e0) = op(e0,e2)
    | inv(e1) = e0
    | inv(e1) = e1
    | e0 = unit
    | e1 = unit
    | e2 = unit ),
    inference(spm,[status(thm)],[c_0_394,c_0_392]) ).

cnf(c_0_404,plain,
    ( op(e0,e2) = e1
    | inv(e1) = e0
    | inv(e1) = e1
    | e0 = unit
    | e1 = unit
    | e2 = unit ),
    inference(spm,[status(thm)],[c_0_395,c_0_376]) ).

cnf(c_0_405,plain,
    ( op(e0,e1) = e2
    | op(e0,e1) = e1
    | op(e0,e1) = e0
    | inv(e0) != e2
    | e3 != unit ),
    inference(spm,[status(thm)],[c_0_396,c_0_397]) ).

cnf(c_0_406,plain,
    ( e2 = unit
    | e1 = unit
    | e0 = unit
    | op(e0,e1) != e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_360]),c_0_380]) ).

cnf(c_0_407,plain,
    ( e2 = unit
    | e1 = unit
    | e0 = unit
    | op(e0,e1) != e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_360]),c_0_400]) ).

cnf(c_0_408,plain,
    ( e2 = unit
    | e1 = unit
    | e0 = unit
    | inv(e0) != unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_360]),c_0_365]) ).

cnf(c_0_409,plain,
    ( inv(e0) = e0
    | inv(e0) = e1
    | inv(e0) = e2
    | inv(e0) = e3 ),
    i_0_93 ).

cnf(c_0_410,plain,
    ( inv(e1) = e1
    | inv(e1) = e0
    | e2 = unit
    | e1 = unit
    | e0 = unit
    | op(e2,op(e0,e2)) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_403]),c_0_404]) ).

cnf(c_0_411,plain,
    op(inv(e1),e1) = unit,
    i_0_98 ).

cnf(c_0_412,plain,
    op(e2,e0) != op(e1,e0),
    i_0_169 ).

cnf(c_0_413,plain,
    ( op(e2,e0) = unit
    | inv(e0) != e2 ),
    inference(spm,[status(thm)],[c_0_366,c_0_383]) ).

cnf(c_0_414,plain,
    op(op(e2,e0),e1) = op(e2,op(e0,e1)),
    i_0_47 ).

cnf(c_0_415,plain,
    ( op(e0,e1) = e2
    | e2 = unit
    | e1 = unit
    | e0 = unit
    | inv(e0) != e2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_360]),c_0_406]),c_0_407]) ).

cnf(c_0_416,plain,
    ( inv(e0) = e2
    | inv(e0) = e1
    | inv(e0) = e0
    | e0 = unit
    | e1 = unit
    | e2 = unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_409]),c_0_360]) ).

cnf(c_0_417,plain,
    ( inv(e1) = e0
    | inv(e1) = e1
    | e0 = unit
    | e1 = unit
    | e2 = unit
    | op(e2,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_410,c_0_404]) ).

cnf(c_0_418,plain,
    ( op(e2,e1) = unit
    | inv(e1) = e0
    | inv(e1) = e1
    | e2 = unit
    | e1 = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_411,c_0_376]) ).

cnf(c_0_419,plain,
    ( op(e1,e0) != unit
    | inv(e0) != e2 ),
    inference(spm,[status(thm)],[c_0_412,c_0_413]) ).

cnf(c_0_420,plain,
    ( op(e2,op(e0,e1)) = e1
    | inv(e0) != e2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_413]),c_0_400]) ).

cnf(c_0_421,plain,
    ( op(e0,e1) = e2
    | inv(e0) = e0
    | inv(e0) = e1
    | e0 = unit
    | e1 = unit
    | e2 = unit ),
    inference(spm,[status(thm)],[c_0_415,c_0_416]) ).

cnf(c_0_422,plain,
    op(e1,inv(e1)) = unit,
    i_0_99 ).

cnf(c_0_423,plain,
    ( inv(e1) = e1
    | inv(e1) = e0
    | e2 = unit
    | e1 = unit
    | e0 = unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_418]),c_0_360]) ).

cnf(c_0_424,plain,
    ( op(e1,e0) = e2
    | op(e1,e0) = e1
    | op(e1,e0) = e0
    | inv(e0) != e2
    | e3 != unit ),
    inference(spm,[status(thm)],[c_0_419,c_0_358]) ).

cnf(c_0_425,plain,
    ( inv(e1) = e0
    | inv(e0) != e1 ),
    i_0_118 ).

cnf(c_0_426,plain,
    ( op(e2,e2) != e1
    | op(e2,op(e2,e2)) != e0
    | op(op(e2,op(e2,e2)),e2) != e3 ),
    i_0_202 ).

cnf(c_0_427,plain,
    ( op(e2,e2) = e1
    | inv(e0) = e1
    | inv(e0) = e0
    | e2 = unit
    | e1 = unit
    | e0 = unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_420,c_0_421]),c_0_416]) ).

cnf(c_0_428,plain,
    op(op(e2,e1),e2) = op(e2,op(e1,e2)),
    i_0_42 ).

cnf(c_0_429,plain,
    op(op(e1,e1),e0) = op(e1,op(e1,e0)),
    i_0_60 ).

cnf(c_0_430,plain,
    ( op(e1,e1) = unit
    | inv(e1) = e0
    | e0 = unit
    | e1 = unit
    | e2 = unit ),
    inference(spm,[status(thm)],[c_0_422,c_0_423]) ).

cnf(c_0_431,plain,
    ( op(e1,e0) = e2
    | e2 = unit
    | e1 = unit
    | e0 = unit
    | inv(e0) != e2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_360]),c_0_368]),c_0_369]) ).

cnf(c_0_432,plain,
    op(e1,e0) != op(e0,e0),
    i_0_172 ).

cnf(c_0_433,plain,
    ( op(e1,e0) = unit
    | inv(e0) != e1 ),
    inference(spm,[status(thm)],[c_0_422,c_0_425]) ).

cnf(c_0_434,plain,
    ( inv(e0) = e0
    | inv(e0) = e1
    | e0 = unit
    | e1 = unit
    | e2 = unit
    | op(e2,op(e1,e2)) != e3
    | op(e2,e1) != e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_427]),c_0_428]) ).

cnf(c_0_435,plain,
    ( op(e2,e1) = op(e1,e2)
    | inv(e0) = e0
    | inv(e0) = e1
    | e0 = unit
    | e1 = unit
    | e2 = unit ),
    inference(spm,[status(thm)],[c_0_394,c_0_427]) ).

cnf(c_0_436,plain,
    ( op(e1,op(e1,e0)) = e0
    | inv(e1) = e0
    | e2 = unit
    | e1 = unit
    | e0 = unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_430]),c_0_361]) ).

cnf(c_0_437,plain,
    ( op(e1,e0) = e2
    | inv(e0) = e0
    | inv(e0) = e1
    | e0 = unit
    | e1 = unit
    | e2 = unit ),
    inference(spm,[status(thm)],[c_0_431,c_0_416]) ).

cnf(c_0_438,plain,
    ( op(e0,e0) != unit
    | inv(e0) != e1 ),
    inference(spm,[status(thm)],[c_0_432,c_0_433]) ).

cnf(c_0_439,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3 ),
    i_0_16 ).

cnf(c_0_440,plain,
    op(e0,e3) != op(e0,e0),
    i_0_146 ).

cnf(c_0_441,plain,
    ( inv(e0) = e1
    | inv(e0) = e0
    | e2 = unit
    | e1 = unit
    | e0 = unit
    | op(e2,op(e1,e2)) != e3
    | op(e1,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_434,c_0_435]) ).

cnf(c_0_442,plain,
    ( op(e1,e2) = e0
    | inv(e0) = e0
    | inv(e1) = e0
    | e0 = unit
    | e1 = unit
    | e2 = unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_437]),c_0_425]) ).

cnf(c_0_443,plain,
    ( inv(e0) = e1
    | inv(e1) != e0 ),
    i_0_115 ).

cnf(c_0_444,plain,
    op(inv(e0),e0) = unit,
    i_0_100 ).

cnf(c_0_445,plain,
    ( op(e0,e2) = e2
    | op(e0,e2) = e1
    | op(e0,e2) = e0
    | op(e0,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_389,c_0_378]) ).

cnf(c_0_446,plain,
    ( op(e0,e1) = unit
    | inv(e0) != e1 ),
    inference(spm,[status(thm)],[c_0_411,c_0_425]) ).

cnf(c_0_447,plain,
    ( op(e0,e0) = e2
    | op(e0,e0) = e1
    | op(e0,e0) = e0
    | inv(e0) != e1
    | e3 != unit ),
    inference(spm,[status(thm)],[c_0_438,c_0_439]) ).

cnf(c_0_448,plain,
    ( e2 = unit
    | e1 = unit
    | e0 = unit
    | op(e0,e0) != e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_360]),c_0_380]) ).

cnf(c_0_449,plain,
    ( inv(e0) = e0
    | inv(e0) = e1
    | e0 = unit
    | e1 = unit
    | e2 = unit
    | op(e2,e0) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_442]),c_0_443]) ).

cnf(c_0_450,plain,
    ( op(e2,e0) = unit
    | inv(e0) = e0
    | inv(e0) = e1
    | e2 = unit
    | e1 = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_444,c_0_416]) ).

cnf(c_0_451,plain,
    ( op(e0,e2) = e0
    | op(e0,e2) = e1
    | op(e0,e2) = e2
    | inv(e0) != e1
    | e3 != unit ),
    inference(spm,[status(thm)],[c_0_445,c_0_446]) ).

cnf(c_0_452,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | e2 = unit
    | e1 = unit
    | e0 = unit
    | inv(e0) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_360]),c_0_448]) ).

cnf(c_0_453,plain,
    ( inv(e0) = e1
    | inv(e0) = e0
    | e2 = unit
    | e1 = unit
    | e0 = unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_449,c_0_450]),c_0_360]) ).

cnf(c_0_454,plain,
    ( op(e0,e2) = e1
    | e2 = unit
    | e1 = unit
    | e0 = unit
    | inv(e0) != e1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_451,c_0_360]),c_0_388]),c_0_387]) ).

cnf(c_0_455,plain,
    ( op(e0,e0) != e2
    | op(e0,op(e0,e0)) != e1
    | op(op(e0,op(e0,e0)),e0) != e3 ),
    i_0_203 ).

cnf(c_0_456,plain,
    ( op(e0,e0) = e2
    | op(e0,e0) = e1
    | inv(e0) = e0
    | e0 = unit
    | e1 = unit
    | e2 = unit ),
    inference(spm,[status(thm)],[c_0_452,c_0_453]) ).

cnf(c_0_457,plain,
    op(op(e0,e2),e0) = op(e0,op(e2,e0)),
    i_0_72 ).

cnf(c_0_458,plain,
    op(e0,e2) != op(e0,e0),
    i_0_147 ).

cnf(c_0_459,plain,
    ( op(e0,e2) = e1
    | inv(e0) = e0
    | e0 = unit
    | e1 = unit
    | e2 = unit ),
    inference(spm,[status(thm)],[c_0_454,c_0_453]) ).

cnf(c_0_460,plain,
    ( op(e0,e0) = e1
    | inv(e0) = e0
    | e2 = unit
    | e1 = unit
    | e0 = unit
    | op(e0,op(e2,e0)) != e3
    | op(e0,e2) != e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_456]),c_0_457]) ).

cnf(c_0_461,plain,
    ( inv(e0) = e0
    | e2 = unit
    | e1 = unit
    | e0 = unit
    | op(e0,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_458,c_0_459]) ).

cnf(c_0_462,plain,
    ( inv(e0) = e0
    | e0 = unit
    | e1 = unit
    | e2 = unit
    | op(e0,op(e2,e0)) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_459]),c_0_461]) ).

cnf(c_0_463,plain,
    ( op(e0,op(e2,e0)) = op(e1,e0)
    | inv(e0) = e0
    | e2 = unit
    | e1 = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_457,c_0_459]) ).

cnf(c_0_464,plain,
    op(unit,e3) = e3,
    i_0_83 ).

cnf(c_0_465,plain,
    ( inv(e0) = e0
    | e2 = unit
    | e1 = unit
    | e0 = unit
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_462,c_0_463]) ).

cnf(c_0_466,plain,
    ( op(e1,e0) = unit
    | inv(e0) = e0
    | e0 = unit
    | e1 = unit
    | e2 = unit ),
    inference(spm,[status(thm)],[c_0_444,c_0_453]) ).

cnf(c_0_467,plain,
    ( op(e0,e0) != e3
    | op(e1,e1) != e3
    | op(e2,e2) != e3
    | op(e3,e3) != e3 ),
    i_0_179 ).

cnf(c_0_468,plain,
    ( op(unit,unit) = unit
    | e2 = unit
    | e1 = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_464,c_0_360]) ).

cnf(c_0_469,plain,
    op(e0,inv(e0)) = unit,
    i_0_101 ).

cnf(c_0_470,plain,
    ( inv(e0) = e0
    | e0 = unit
    | e1 = unit
    | e2 = unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_466]),c_0_360]) ).

cnf(c_0_471,plain,
    inv(e3) != inv(e2),
    i_0_119 ).

cnf(c_0_472,plain,
    ( e2 = unit
    | e1 = unit
    | e0 = unit
    | op(e0,e0) != unit
    | op(e1,e1) != unit
    | op(e2,e2) != unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_360]),c_0_468]) ).

cnf(c_0_473,plain,
    ( op(e0,e0) = unit
    | e2 = unit
    | e1 = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_469,c_0_470]) ).

cnf(c_0_474,plain,
    ( e2 = unit
    | e1 = unit
    | e0 = unit
    | inv(e2) != unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_360]),c_0_365]) ).

cnf(c_0_475,plain,
    ( inv(e2) = e0
    | inv(e2) = e1
    | inv(e2) = e2
    | inv(e2) = e3 ),
    i_0_91 ).

cnf(c_0_476,plain,
    ( e0 = unit
    | e1 = unit
    | e2 = unit
    | op(e1,e1) != unit
    | op(e2,e2) != unit ),
    inference(spm,[status(thm)],[c_0_472,c_0_473]) ).

cnf(c_0_477,plain,
    ( inv(e2) = e2
    | inv(e2) = e1
    | inv(e2) = e0
    | e0 = unit
    | e1 = unit
    | e2 = unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_474,c_0_475]),c_0_360]) ).

cnf(c_0_478,plain,
    ( inv(e1) = e0
    | e2 = unit
    | e1 = unit
    | e0 = unit
    | op(e2,e2) != unit ),
    inference(spm,[status(thm)],[c_0_476,c_0_430]) ).

cnf(c_0_479,plain,
    ( op(e2,e2) = unit
    | inv(e2) = e0
    | inv(e2) = e1
    | e2 = unit
    | e1 = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_366,c_0_477]) ).

cnf(c_0_480,plain,
    inv(e2) != inv(e1),
    i_0_121 ).

cnf(c_0_481,plain,
    ( inv(e2) = e1
    | inv(e2) = e0
    | inv(e1) = e0
    | e0 = unit
    | e1 = unit
    | e2 = unit ),
    inference(spm,[status(thm)],[c_0_478,c_0_479]) ).

cnf(c_0_482,plain,
    inv(e2) != inv(e0),
    i_0_123 ).

cnf(c_0_483,plain,
    ( inv(e1) = e0
    | inv(e2) = e0
    | e2 = unit
    | e1 = unit
    | e0 = unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_480,c_0_481]),c_0_423]) ).

cnf(c_0_484,plain,
    op(e2,e3) != op(e1,e3),
    i_0_151 ).

cnf(c_0_485,plain,
    ( op(e2,e3) = e0
    | op(e2,e3) = e1
    | op(e2,e3) = e2
    | op(e2,e3) = e3 ),
    i_0_5 ).

cnf(c_0_486,plain,
    ( inv(e3) = e2
    | inv(e2) != e3 ),
    i_0_110 ).

cnf(c_0_487,plain,
    inv(inv(e1)) = e1,
    i_0_105 ).

cnf(c_0_488,plain,
    ( inv(e1) = e0
    | e0 = unit
    | e1 = unit
    | e2 = unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_482,c_0_483]),c_0_470]) ).

cnf(c_0_489,plain,
    ( e0 = unit
    | e1 = unit
    | e2 = unit
    | inv(e0) != e1 ),
    inference(spm,[status(thm)],[c_0_438,c_0_473]) ).

cnf(c_0_490,plain,
    op(e3,e3) != op(e3,e2),
    i_0_125 ).

cnf(c_0_491,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3 ),
    i_0_1 ).

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

cnf(c_0_493,plain,
    ( op(e1,e3) = e0
    | op(e1,e3) = e1
    | op(e1,e3) = e2
    | op(e1,e3) = e3 ),
    i_0_9 ).

cnf(c_0_494,plain,
    ( inv(e2) != e2
    | inv(e2) != e3 ),
    inference(spm,[status(thm)],[c_0_471,c_0_486]) ).

cnf(c_0_495,plain,
    ( e2 = unit
    | e1 = unit
    | e0 = unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_487,c_0_488]),c_0_489]) ).

cnf(c_0_496,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e1
    | op(e3,e3) = e0
    | op(e3,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_490,c_0_491]) ).

cnf(c_0_497,plain,
    op(e3,unit) = e3,
    i_0_82 ).

cnf(c_0_498,plain,
    ( op(e1,e3) = e2
    | op(e1,e3) = e1
    | op(e1,e3) = e0
    | op(e2,e3) = e0
    | op(e2,e3) = e1
    | op(e2,e3) = e2 ),
    inference(spm,[status(thm)],[c_0_492,c_0_493]) ).

cnf(c_0_499,plain,
    e3 != e0,
    i_0_176 ).

cnf(c_0_500,plain,
    e3 != e1,
    i_0_174 ).

cnf(c_0_501,plain,
    ( e0 = unit
    | e1 = unit
    | e3 != unit ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_494,c_0_495]),c_0_365]),c_0_365])]) ).

cnf(c_0_502,plain,
    op(op(e3,e3),e3) = op(e3,op(e3,e3)),
    i_0_17 ).

cnf(c_0_503,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = unit
    | e0 = unit
    | e1 = unit ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_496,c_0_495]),c_0_497])]) ).

cnf(c_0_504,plain,
    op(e1,e3) != op(e1,e2),
    i_0_137 ).

cnf(c_0_505,plain,
    ( op(e1,e3) = e0
    | op(e1,e3) = e1
    | op(e1,e3) = unit
    | e0 = unit
    | e1 = unit ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_498,c_0_495]),c_0_464]),c_0_464]),c_0_464]),c_0_499]),c_0_500]),c_0_501]) ).

cnf(c_0_506,plain,
    op(e3,e3) != op(e1,e3),
    i_0_150 ).

cnf(c_0_507,plain,
    ( op(e3,e1) = op(e1,e3)
    | op(e3,e3) = unit
    | op(e3,e3) = e0
    | e1 = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_502,c_0_503]) ).

cnf(c_0_508,plain,
    ( op(e1,e3) = unit
    | op(e1,e3) = e0
    | e1 = unit
    | e0 = unit
    | op(e1,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_504,c_0_505]) ).

cnf(c_0_509,plain,
    inv(inv(e0)) = e0,
    i_0_106 ).

cnf(c_0_510,plain,
    ( inv(e3) = e1
    | inv(e1) != e3 ),
    i_0_113 ).

cnf(c_0_511,plain,
    ( inv(e3) = e0
    | inv(e0) != e3 ),
    i_0_116 ).

cnf(c_0_512,plain,
    ( op(e3,e1) = op(e1,e3)
    | op(e3,e3) = unit
    | e0 = unit
    | e1 = unit
    | op(e1,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_506,c_0_507]) ).

cnf(c_0_513,plain,
    ( op(e1,e3) = e0
    | op(e1,e3) = unit
    | e0 = unit
    | e1 = unit ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_508,c_0_495]),c_0_363])]) ).

cnf(c_0_514,plain,
    op(e3,e2) != op(e3,e1),
    i_0_127 ).

cnf(c_0_515,plain,
    ( inv(e0) = e2
    | inv(e0) = e1
    | inv(e0) = e0
    | inv(e3) = e0 ),
    inference(spm,[status(thm)],[c_0_509,c_0_409]) ).

cnf(c_0_516,plain,
    e1 != e0,
    i_0_178 ).

cnf(c_0_517,plain,
    ( inv(e0) != e1
    | inv(e1) != e3 ),
    inference(spm,[status(thm)],[c_0_401,c_0_510]) ).

cnf(c_0_518,plain,
    inv(e1) != inv(e0),
    i_0_124 ).

cnf(c_0_519,plain,
    ( inv(e1) != e0
    | inv(e0) != e3 ),
    inference(spm,[status(thm)],[c_0_364,c_0_511]) ).

cnf(c_0_520,plain,
    op(e3,e3) != op(e3,e1),
    i_0_126 ).

cnf(c_0_521,plain,
    ( op(e1,e3) = unit
    | op(e3,e3) = unit
    | op(e3,e1) = e0
    | e1 = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_512,c_0_513]) ).

cnf(c_0_522,plain,
    ( e0 = unit
    | e1 = unit
    | op(e3,e1) != e3 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_514,c_0_495]),c_0_497]) ).

cnf(c_0_523,plain,
    ( op(e3,e1) = e0
    | op(e3,e1) = e1
    | op(e3,e1) = e2
    | op(e3,e1) = e3 ),
    i_0_3 ).

cnf(c_0_524,plain,
    ( inv(e0) = e0
    | inv(e0) = e2
    | inv(e1) != e3 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_510,c_0_515]),c_0_516]),c_0_517]) ).

cnf(c_0_525,plain,
    ( inv(e1) = e2
    | inv(e1) = e1
    | inv(e0) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_518,c_0_371]),c_0_519]) ).

cnf(c_0_526,plain,
    ( op(e3,e1) = e0
    | op(e1,e3) = unit
    | e0 = unit
    | e1 = unit
    | op(e3,e1) != unit ),
    inference(spm,[status(thm)],[c_0_520,c_0_521]) ).

cnf(c_0_527,plain,
    ( op(e3,e1) = e2
    | op(e3,e1) = e1
    | op(e3,e1) = e0
    | e1 = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_522,c_0_523]) ).

cnf(c_0_528,plain,
    e2 != e0,
    i_0_177 ).

cnf(c_0_529,plain,
    ( inv(e1) = e2
    | inv(e1) = e1
    | inv(e1) = e0
    | inv(e0) = e2
    | inv(e0) = e0 ),
    inference(spm,[status(thm)],[c_0_524,c_0_371]) ).

cnf(c_0_530,plain,
    ( inv(e0) = e2
    | inv(e0) = e1
    | inv(e0) = e0
    | inv(e1) = e1
    | inv(e1) = e2 ),
    inference(spm,[status(thm)],[c_0_525,c_0_409]) ).

cnf(c_0_531,plain,
    op(e3,e1) != op(e2,e1),
    i_0_161 ).

cnf(c_0_532,plain,
    ( op(e3,e1) = e0
    | op(e3,e1) = e1
    | op(e1,e3) = unit
    | e1 = unit
    | e0 = unit ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_526,c_0_527]),c_0_528]),c_0_495]) ).

cnf(c_0_533,plain,
    ( op(e2,e1) = unit
    | inv(e0) = e0
    | inv(e0) = e2
    | inv(e1) = e0
    | inv(e1) = e1 ),
    inference(spm,[status(thm)],[c_0_411,c_0_529]) ).

cnf(c_0_534,plain,
    ( e0 = unit
    | e1 = unit
    | inv(e0) != unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_482,c_0_495]),c_0_365]) ).

cnf(c_0_535,plain,
    ( op(e2,e1) = unit
    | inv(e1) = e1
    | inv(e0) = e0
    | inv(e0) = e1
    | inv(e0) = e2 ),
    inference(spm,[status(thm)],[c_0_411,c_0_530]) ).

cnf(c_0_536,plain,
    op(op(e1,e3),e1) = op(e1,op(e3,e1)),
    i_0_51 ).

cnf(c_0_537,plain,
    ( op(e1,e3) = unit
    | op(e3,e1) = e0
    | e0 = unit
    | e1 = unit
    | op(e2,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_531,c_0_532]) ).

cnf(c_0_538,plain,
    ( inv(e1) = e1
    | inv(e1) = e0
    | inv(e0) = e0
    | e0 = unit
    | e1 = unit ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_533,c_0_495]),c_0_400])]),c_0_534]) ).

cnf(c_0_539,plain,
    ( inv(e0) = e1
    | inv(e0) = e0
    | inv(e1) = e1
    | e0 = unit
    | e1 = unit ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_535,c_0_495]),c_0_400])]),c_0_534]) ).

cnf(c_0_540,plain,
    op(op(e0,e1),e3) = op(e0,op(e1,e3)),
    i_0_73 ).

cnf(c_0_541,plain,
    ( op(e1,op(e3,e1)) = op(e0,e1)
    | op(e1,e3) = unit
    | e1 = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_536,c_0_513]) ).

cnf(c_0_542,plain,
    ( op(e3,e1) = e0
    | op(e1,e3) = unit
    | e1 = unit
    | e0 = unit ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_537,c_0_495]),c_0_400])]) ).

cnf(c_0_543,plain,
    op(op(e1,e1),e3) = op(e1,op(e1,e3)),
    i_0_57 ).

cnf(c_0_544,plain,
    ( op(e1,e1) = unit
    | inv(e0) = e0
    | inv(e1) = e0
    | e1 = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_422,c_0_538]) ).

cnf(c_0_545,plain,
    op(op(e3,e0),e2) = op(e3,op(e0,e2)),
    i_0_30 ).

cnf(c_0_546,plain,
    ( op(e3,e0) = unit
    | inv(e0) = e2
    | inv(e0) = e1
    | inv(e0) = e0 ),
    inference(spm,[status(thm)],[c_0_444,c_0_409]) ).

cnf(c_0_547,plain,
    ( op(e1,e1) = unit
    | inv(e0) = e0
    | inv(e0) = e1
    | e1 = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_422,c_0_539]) ).

cnf(c_0_548,plain,
    ( op(e0,op(e1,e3)) = e3
    | inv(e0) != e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_540,c_0_446]),c_0_464]) ).

cnf(c_0_549,plain,
    ( op(e1,e0) = op(e0,e1)
    | op(e1,e3) = unit
    | e0 = unit
    | e1 = unit ),
    inference(spm,[status(thm)],[c_0_541,c_0_542]) ).

cnf(c_0_550,plain,
    ( op(e1,op(e1,e3)) = e3
    | inv(e1) = e0
    | inv(e0) = e0
    | e0 = unit
    | e1 = unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_543,c_0_544]),c_0_464]) ).

cnf(c_0_551,plain,
    op(op(e0,e3),e2) = op(e0,op(e3,e2)),
    i_0_66 ).

cnf(c_0_552,plain,
    ( op(e0,e3) = unit
    | inv(e0) = e2
    | inv(e0) = e1
    | inv(e0) = e0 ),
    inference(spm,[status(thm)],[c_0_469,c_0_409]) ).

cnf(c_0_553,plain,
    ( op(e3,op(e0,e2)) = e2
    | inv(e0) = e0
    | inv(e0) = e1
    | inv(e0) = e2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_546]),c_0_382]) ).

cnf(c_0_554,plain,
    ( op(e1,op(e1,e3)) = e3
    | inv(e0) = e1
    | inv(e0) = e0
    | e0 = unit
    | e1 = unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_543,c_0_547]),c_0_464]) ).

cnf(c_0_555,plain,
    ( op(e1,e0) = op(e0,e1)
    | e1 = unit
    | e0 = unit
    | inv(e0) != e1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_548,c_0_549]),c_0_380]),c_0_499]) ).

cnf(c_0_556,plain,
    ( op(e1,e3) = unit
    | op(e1,e0) = e3
    | inv(e0) = e0
    | inv(e1) = e0
    | e1 = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_550,c_0_513]) ).

cnf(c_0_557,plain,
    ( op(e0,op(e3,e2)) = e2
    | inv(e0) = e0
    | inv(e0) = e1
    | inv(e0) = e2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_551,c_0_552]),c_0_382]) ).

cnf(c_0_558,plain,
    op(op(e3,e0),e1) = op(e3,op(e0,e1)),
    i_0_31 ).

cnf(c_0_559,plain,
    ( op(e3,e0) = unit
    | inv(e0) = e1
    | inv(e0) = e0
    | e0 = unit
    | e1 = unit ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_553,c_0_495]),c_0_380]),c_0_534]) ).

cnf(c_0_560,plain,
    ( op(e1,e0) = op(e0,e1)
    | inv(e0) = e0
    | e1 = unit
    | e0 = unit ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_554,c_0_549]),c_0_363]),c_0_500]),c_0_555]) ).

cnf(c_0_561,plain,
    ( op(e1,e0) = e3
    | inv(e0) = e0
    | inv(e1) = e0
    | e1 = unit
    | e0 = unit ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_550,c_0_556]),c_0_363]),c_0_500]) ).

cnf(c_0_562,plain,
    op(op(e0,e3),e3) = op(e0,op(e3,e3)),
    i_0_65 ).

cnf(c_0_563,plain,
    ( op(e0,e3) = unit
    | inv(e0) = e1
    | inv(e0) = e0
    | e0 = unit
    | e1 = unit ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_557,c_0_495]),c_0_497]),c_0_534]) ).

cnf(c_0_564,plain,
    ( op(e3,op(e0,e1)) = e1
    | inv(e0) = e0
    | inv(e0) = e1
    | e1 = unit
    | e0 = unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_558,c_0_559]),c_0_400]) ).

cnf(c_0_565,plain,
    ( op(e0,e1) = e3
    | inv(e1) = e0
    | inv(e0) = e0
    | e0 = unit
    | e1 = unit ),
    inference(spm,[status(thm)],[c_0_560,c_0_561]) ).

cnf(c_0_566,plain,
    ( op(e1,op(e1,e0)) = e0
    | inv(e0) = e1
    | inv(e0) = e0
    | e0 = unit
    | e1 = unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_547]),c_0_361]) ).

cnf(c_0_567,plain,
    ( op(e0,op(e3,e3)) = e3
    | inv(e0) = e0
    | inv(e0) = e1
    | e1 = unit
    | e0 = unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_562,c_0_563]),c_0_464]) ).

cnf(c_0_568,plain,
    ( op(e3,e3) = e1
    | inv(e0) = e1
    | inv(e0) = e0
    | e0 = unit
    | e1 = unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_564,c_0_565]),c_0_443]) ).

cnf(c_0_569,plain,
    ( op(e3,e3) != e1
    | op(e3,op(e3,e3)) != e0
    | op(op(e3,op(e3,e3)),e3) != e2 ),
    i_0_196 ).

cnf(c_0_570,plain,
    op(op(e3,e1),e3) = op(e3,op(e1,e3)),
    i_0_25 ).

cnf(c_0_571,plain,
    ( op(e1,op(e0,e1)) = e0
    | inv(e0) = e0
    | inv(e0) = e1
    | e1 = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_566,c_0_560]) ).

cnf(c_0_572,plain,
    ( op(e0,e1) = e3
    | inv(e0) = e1
    | inv(e0) = e0
    | e0 = unit
    | e1 = unit ),
    inference(spm,[status(thm)],[c_0_567,c_0_568]) ).

cnf(c_0_573,plain,
    ( inv(e0) = e0
    | inv(e0) = e1
    | e1 = unit
    | e0 = unit
    | op(e3,op(e1,e3)) != e2
    | op(e3,e1) != e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_569,c_0_568]),c_0_570]) ).

cnf(c_0_574,plain,
    ( op(e3,e1) = op(e1,e3)
    | inv(e0) = e0
    | inv(e0) = e1
    | e1 = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_502,c_0_568]) ).

cnf(c_0_575,plain,
    ( op(e1,e3) = e0
    | inv(e0) = e1
    | inv(e0) = e0
    | e0 = unit
    | e1 = unit ),
    inference(spm,[status(thm)],[c_0_571,c_0_572]) ).

cnf(c_0_576,plain,
    ( e0 = unit
    | e1 = unit
    | op(e1,e3) != e3 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_484,c_0_495]),c_0_464]) ).

cnf(c_0_577,plain,
    ( inv(e0) = e1
    | inv(e0) = e0
    | e0 = unit
    | e1 = unit
    | op(e3,op(e1,e3)) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_573,c_0_574]),c_0_575]) ).

cnf(c_0_578,plain,
    ( op(e1,e3) = e2
    | op(e1,e3) = e1
    | op(e1,e3) = e0
    | e1 = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_576,c_0_493]) ).

cnf(c_0_579,plain,
    ( inv(e0) = e0
    | inv(e0) = e1
    | e1 = unit
    | e0 = unit
    | op(e3,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_577,c_0_575]) ).

cnf(c_0_580,plain,
    ( op(e1,e3) = e0
    | op(e1,e3) = e1
    | e0 = unit
    | e1 = unit
    | op(e1,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_362,c_0_578]) ).

cnf(c_0_581,plain,
    op(e2,e3) != op(e0,e3),
    i_0_153 ).

cnf(c_0_582,plain,
    ( inv(e0) = e1
    | inv(e0) = e0
    | e0 = unit
    | e1 = unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_579,c_0_559]),c_0_495]) ).

cnf(c_0_583,plain,
    ( op(e1,e3) = e1
    | op(e1,e3) = e0
    | e1 = unit
    | e0 = unit
    | inv(e0) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_580,c_0_433]),c_0_495]) ).

cnf(c_0_584,plain,
    ( e0 = unit
    | e1 = unit
    | op(e0,e3) != e3 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_581,c_0_495]),c_0_464]) ).

cnf(c_0_585,plain,
    ( op(e0,e3) = e0
    | op(e0,e3) = e1
    | op(e0,e3) = e2
    | op(e0,e3) = e3 ),
    i_0_13 ).

cnf(c_0_586,plain,
    op(e3,e2) != op(e3,e0),
    i_0_129 ).

cnf(c_0_587,plain,
    ( op(e3,e1) = e0
    | op(e3,e1) = e1
    | e0 = unit
    | e1 = unit
    | op(e0,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_399,c_0_527]) ).

cnf(c_0_588,plain,
    ( op(e0,e1) = unit
    | inv(e0) = e0
    | e1 = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_469,c_0_582]) ).

cnf(c_0_589,plain,
    ( op(e1,e3) = e0
    | op(e1,e3) = e1
    | inv(e0) = e0
    | e0 = unit
    | e1 = unit ),
    inference(spm,[status(thm)],[c_0_583,c_0_582]) ).

cnf(c_0_590,plain,
    ( op(e0,e3) = e2
    | op(e0,e3) = e1
    | op(e0,e3) = e0
    | e1 = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_584,c_0_585]) ).

cnf(c_0_591,plain,
    ( e0 = unit
    | e1 = unit
    | op(e3,e0) != e3 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_586,c_0_495]),c_0_497]) ).

cnf(c_0_592,plain,
    ( op(e3,e0) = e0
    | op(e3,e0) = e1
    | op(e3,e0) = e2
    | op(e3,e0) = e3 ),
    i_0_4 ).

cnf(c_0_593,plain,
    ( op(e3,e1) = e1
    | op(e3,e1) = e0
    | e1 = unit
    | e0 = unit
    | inv(e0) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_587,c_0_446]),c_0_495]) ).

cnf(c_0_594,plain,
    ( op(e0,op(e1,e3)) = e3
    | inv(e0) = e0
    | e0 = unit
    | e1 = unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_540,c_0_588]),c_0_464]) ).

cnf(c_0_595,plain,
    ( op(e1,e3) = e0
    | inv(e0) = e0
    | e0 = unit
    | e1 = unit ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_589]),c_0_516]) ).

cnf(c_0_596,plain,
    ( op(e0,e3) = e0
    | op(e0,e3) = e1
    | e0 = unit
    | e1 = unit
    | op(e0,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_398,c_0_590]) ).

cnf(c_0_597,plain,
    ( op(e3,e0) = e2
    | op(e3,e0) = e1
    | op(e3,e0) = e0
    | e1 = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_591,c_0_592]) ).

cnf(c_0_598,plain,
    ( op(e3,e1) = e0
    | op(e3,e1) = e1
    | inv(e0) = e0
    | e0 = unit
    | e1 = unit ),
    inference(spm,[status(thm)],[c_0_593,c_0_582]) ).

cnf(c_0_599,plain,
    ( op(e0,e0) != e3
    | op(e0,op(e0,e0)) != e1
    | op(op(e0,op(e0,e0)),e0) != e2 ),
    i_0_197 ).

cnf(c_0_600,plain,
    ( op(e0,e0) = e3
    | inv(e0) = e0
    | e1 = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_594,c_0_595]) ).

cnf(c_0_601,plain,
    op(op(e0,e3),e0) = op(e0,op(e3,e0)),
    i_0_68 ).

cnf(c_0_602,plain,
    ( op(e0,e3) = e1
    | op(e0,e3) = e0
    | e1 = unit
    | e0 = unit
    | inv(e0) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_596,c_0_446]),c_0_495]) ).

cnf(c_0_603,plain,
    op(e1,e3) != op(e0,e3),
    i_0_154 ).

cnf(c_0_604,plain,
    ( op(e3,e0) = e0
    | op(e3,e0) = e1
    | e0 = unit
    | e1 = unit
    | op(e1,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_359,c_0_597]) ).

cnf(c_0_605,plain,
    ( op(e3,e1) = e0
    | inv(e0) = e0
    | e1 = unit
    | e0 = unit
    | op(e2,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_531,c_0_598]) ).

cnf(c_0_606,plain,
    ( inv(e0) = e0
    | e0 = unit
    | e1 = unit
    | op(e0,op(e3,e0)) != e2
    | op(e0,e3) != e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_599,c_0_600]),c_0_601]) ).

cnf(c_0_607,plain,
    ( op(e0,e3) = e0
    | op(e0,e3) = e1
    | inv(e0) = e0
    | e0 = unit
    | e1 = unit ),
    inference(spm,[status(thm)],[c_0_602,c_0_582]) ).

cnf(c_0_608,plain,
    ( inv(e0) = e0
    | e1 = unit
    | e0 = unit
    | op(e0,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_603,c_0_595]) ).

cnf(c_0_609,plain,
    ( op(e3,e0) = e1
    | op(e3,e0) = e0
    | e1 = unit
    | e0 = unit
    | inv(e0) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_604,c_0_433]),c_0_495]) ).

cnf(c_0_610,plain,
    op(e3,e1) != op(e3,e0),
    i_0_130 ).

cnf(c_0_611,plain,
    ( op(e3,e1) = e0
    | inv(e0) = e0
    | e0 = unit
    | e1 = unit ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_605,c_0_495]),c_0_400])]) ).

cnf(c_0_612,plain,
    ( inv(e0) = e0
    | e1 = unit
    | e0 = unit
    | op(e0,op(e3,e0)) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_606,c_0_607]),c_0_608]) ).

cnf(c_0_613,plain,
    ( op(e3,e0) = e0
    | op(e3,e0) = e1
    | inv(e0) = e0
    | e0 = unit
    | e1 = unit ),
    inference(spm,[status(thm)],[c_0_609,c_0_582]) ).

cnf(c_0_614,plain,
    ( inv(e0) = e0
    | e1 = unit
    | e0 = unit
    | op(e3,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_610,c_0_611]) ).

cnf(c_0_615,plain,
    ( inv(e0) = e0
    | e0 = unit
    | e1 = unit
    | op(e0,e1) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_612,c_0_613]),c_0_614]) ).

cnf(c_0_616,plain,
    ( inv(e0) = e0
    | e1 = unit
    | e0 = unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_615,c_0_588]),c_0_495]) ).

cnf(c_0_617,plain,
    op(op(e0,e0),e3) = op(e0,op(e0,e3)),
    i_0_77 ).

cnf(c_0_618,plain,
    ( op(e0,e0) = unit
    | e0 = unit
    | e1 = unit ),
    inference(spm,[status(thm)],[c_0_469,c_0_616]) ).

cnf(c_0_619,plain,
    ( op(e0,e3) = e0
    | op(e0,e3) = e1
    | e0 = unit
    | e1 = unit
    | op(e0,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_440,c_0_590]) ).

cnf(c_0_620,plain,
    ( op(e0,op(e0,e3)) = e3
    | e1 = unit
    | e0 = unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_617,c_0_618]),c_0_464]) ).

cnf(c_0_621,plain,
    ( op(e0,e3) = e1
    | op(e0,e3) = e0
    | e1 = unit
    | e0 = unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_619,c_0_618]),c_0_495]) ).

cnf(c_0_622,plain,
    ( op(e0,e3) = e0
    | op(e0,e1) = e3
    | e0 = unit
    | e1 = unit ),
    inference(spm,[status(thm)],[c_0_620,c_0_621]) ).

cnf(c_0_623,plain,
    op(op(e0,e0),e1) = op(e0,op(e0,e1)),
    i_0_79 ).

cnf(c_0_624,plain,
    ( op(e0,e1) = e3
    | e1 = unit
    | e0 = unit
    | op(e0,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_379,c_0_622]) ).

cnf(c_0_625,plain,
    op(e3,e3) != op(e0,e3),
    i_0_152 ).

cnf(c_0_626,plain,
    ( op(e0,op(e0,e1)) = e1
    | e1 = unit
    | e0 = unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_623,c_0_618]),c_0_400]) ).

cnf(c_0_627,plain,
    ( op(e0,e1) = e3
    | e0 = unit
    | e1 = unit ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_624,c_0_495]),c_0_380])]) ).

cnf(c_0_628,plain,
    ( op(e3,e3) = unit
    | op(e3,e3) = e0
    | e1 = unit
    | e0 = unit
    | op(e0,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_625,c_0_503]) ).

cnf(c_0_629,plain,
    ( op(e0,e3) = e1
    | e0 = unit
    | e1 = unit ),
    inference(spm,[status(thm)],[c_0_626,c_0_627]) ).

cnf(c_0_630,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = unit
    | e0 = unit
    | e1 = unit ),
    inference(spm,[status(thm)],[c_0_628,c_0_629]) ).

cnf(c_0_631,plain,
    ( op(e3,op(e1,e3)) = op(e0,e3)
    | op(e1,e3) = unit
    | e0 = unit
    | e1 = unit ),
    inference(spm,[status(thm)],[c_0_570,c_0_542]) ).

cnf(c_0_632,plain,
    ( op(e3,e0) = op(e0,e3)
    | op(e3,e3) = unit
    | e1 = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_502,c_0_630]) ).

cnf(c_0_633,plain,
    ( op(e3,e0) = op(e0,e3)
    | op(e1,e3) = unit
    | e1 = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_631,c_0_513]) ).

cnf(c_0_634,plain,
    ( op(e0,op(e3,e0)) = op(e1,e0)
    | e1 = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_601,c_0_629]) ).

cnf(c_0_635,plain,
    ( op(e3,e0) = op(e0,e3)
    | e0 = unit
    | e1 = unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_506,c_0_632]),c_0_633]) ).

cnf(c_0_636,plain,
    ( op(e3,e3) != e0
    | op(e3,op(e3,e3)) != e1
    | op(op(e3,op(e3,e3)),e3) != e2 ),
    i_0_198 ).

cnf(c_0_637,plain,
    op(op(e3,e0),e3) = op(e3,op(e0,e3)),
    i_0_29 ).

cnf(c_0_638,plain,
    ( op(e0,op(e0,e3)) = op(e1,e0)
    | e0 = unit
    | e1 = unit ),
    inference(spm,[status(thm)],[c_0_634,c_0_635]) ).

cnf(c_0_639,plain,
    op(op(e1,e3),e0) = op(e1,op(e3,e0)),
    i_0_52 ).

cnf(c_0_640,plain,
    ( op(e3,e3) = unit
    | e1 = unit
    | e0 = unit
    | op(e3,op(e0,e3)) != e2
    | op(e3,e0) != e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_636,c_0_630]),c_0_637]) ).

cnf(c_0_641,plain,
    op(op(e1,e0),e1) = op(e1,op(e0,e1)),
    i_0_63 ).

cnf(c_0_642,plain,
    ( op(e1,e0) = e3
    | e0 = unit
    | e1 = unit ),
    inference(spm,[status(thm)],[c_0_620,c_0_638]) ).

cnf(c_0_643,plain,
    op(op(e1,e0),e3) = op(e1,op(e0,e3)),
    i_0_61 ).

cnf(c_0_644,plain,
    ( op(e1,op(e3,e0)) = op(e0,e0)
    | op(e1,e3) = unit
    | e1 = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_639,c_0_513]) ).

cnf(c_0_645,plain,
    ( op(e3,e3) = unit
    | e0 = unit
    | e1 = unit
    | op(e3,op(e0,e3)) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_640,c_0_635]),c_0_629]) ).

cnf(c_0_646,plain,
    ( op(e1,op(e0,e1)) = op(e3,e1)
    | e1 = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_641,c_0_642]) ).

cnf(c_0_647,plain,
    ( op(e1,op(e0,e3)) = op(e3,e3)
    | e1 = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_643,c_0_642]) ).

cnf(c_0_648,plain,
    ( op(e1,op(e0,e3)) = op(e0,e0)
    | op(e1,e3) = unit
    | e0 = unit
    | e1 = unit ),
    inference(spm,[status(thm)],[c_0_644,c_0_633]) ).

cnf(c_0_649,plain,
    ( op(e3,e3) = unit
    | e1 = unit
    | e0 = unit
    | op(e3,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_645,c_0_629]) ).

cnf(c_0_650,plain,
    ( op(e3,e1) = op(e1,e3)
    | e0 = unit
    | e1 = unit ),
    inference(spm,[status(thm)],[c_0_646,c_0_627]) ).

cnf(c_0_651,plain,
    ( op(e0,e0) != e2
    | op(e1,e1) != e2
    | op(e2,e2) != e2
    | op(e3,e3) != e2 ),
    i_0_180 ).

cnf(c_0_652,plain,
    ( op(e3,e3) = op(e1,e1)
    | e0 = unit
    | e1 = unit ),
    inference(spm,[status(thm)],[c_0_647,c_0_629]) ).

cnf(c_0_653,plain,
    ( op(e0,op(e1,e3)) = op(e3,e3)
    | e1 = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_540,c_0_627]) ).

cnf(c_0_654,plain,
    ( op(e1,e1) = op(e0,e0)
    | op(e1,e3) = unit
    | e1 = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_648,c_0_629]) ).

cnf(c_0_655,plain,
    ( op(e3,e3) = unit
    | e0 = unit
    | e1 = unit
    | op(e1,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_649,c_0_650]) ).

cnf(c_0_656,plain,
    ( e1 = unit
    | e0 = unit
    | op(e0,e0) != e2
    | op(e1,e1) != e2
    | op(e2,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_651,c_0_652]) ).

cnf(c_0_657,plain,
    ( op(e1,e1) = op(e0,e0)
    | op(e3,e3) = e0
    | e0 = unit
    | e1 = unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_653,c_0_654]),c_0_380]) ).

cnf(c_0_658,plain,
    ( op(e1,e1) = op(e0,e0)
    | op(e3,e3) = unit
    | e1 = unit
    | e0 = unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_655,c_0_654]),c_0_495]) ).

cnf(c_0_659,plain,
    ( e0 = unit
    | e1 = unit
    | op(e1,e1) != e2
    | op(e2,e2) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_656,c_0_618]),c_0_495]) ).

cnf(c_0_660,plain,
    ( op(e1,e1) = op(e0,e0)
    | e1 = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_657,c_0_658]) ).

cnf(c_0_661,plain,
    ( e1 = unit
    | e0 = unit
    | op(e0,e0) != e2
    | op(e2,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_659,c_0_660]) ).

cnf(c_0_662,plain,
    ( e0 = unit
    | e1 = unit
    | op(e2,e2) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_661,c_0_618]),c_0_495]) ).

cnf(c_0_663,plain,
    ( op(unit,unit) = unit
    | e0 = unit
    | e1 = unit ),
    inference(spm,[status(thm)],[c_0_382,c_0_495]) ).

cnf(c_0_664,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e1
    | op(e3,e2) = e2
    | op(e3,e2) = e3 ),
    i_0_2 ).

cnf(c_0_665,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e1
    | op(e3,e3) = e0
    | op(e1,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_506,c_0_491]) ).

cnf(c_0_666,plain,
    ( e1 = unit
    | e0 = unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_662,c_0_495]),c_0_663]) ).

cnf(c_0_667,plain,
    ( op(e3,e2) = e2
    | op(e3,e2) = e1
    | op(e3,e2) = e0
    | op(e3,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_514,c_0_664]) ).

cnf(c_0_668,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = unit
    | op(e3,e3) = e2
    | e0 = unit ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_665,c_0_666]),c_0_464])]) ).

cnf(c_0_669,plain,
    op(e3,e2) != op(e1,e2),
    i_0_156 ).

cnf(c_0_670,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = unit
    | op(e3,e2) = e2
    | e0 = unit ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_667,c_0_666]),c_0_497])]) ).

cnf(c_0_671,plain,
    ( op(e3,e2) = op(e2,e3)
    | op(e3,e3) = unit
    | op(e3,e3) = e0
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_502,c_0_668]) ).

cnf(c_0_672,plain,
    ( op(e3,e2) = unit
    | op(e3,e2) = e0
    | e0 = unit
    | op(e1,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_669,c_0_670]) ).

cnf(c_0_673,plain,
    op(e2,e3) != op(e2,e1),
    i_0_132 ).

cnf(c_0_674,plain,
    ( op(e2,e3) = e0
    | op(e2,e3) = unit
    | op(e2,e3) = e2
    | e0 = unit ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_492,c_0_666]),c_0_464])]) ).

cnf(c_0_675,plain,
    ( op(e3,e2) = op(e2,e3)
    | op(e3,e3) = unit
    | e0 = unit
    | op(e3,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_490,c_0_671]) ).

cnf(c_0_676,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = unit
    | e0 = unit ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_672,c_0_666]),c_0_382])]) ).

cnf(c_0_677,plain,
    ( op(e2,e3) = unit
    | op(e2,e3) = e0
    | e0 = unit
    | op(e2,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_673,c_0_674]) ).

cnf(c_0_678,plain,
    op(e2,unit) = e2,
    i_0_84 ).

cnf(c_0_679,plain,
    op(op(e0,e3),e1) = op(e0,op(e3,e1)),
    i_0_67 ).

cnf(c_0_680,plain,
    op(e3,e3) != op(e2,e3),
    i_0_149 ).

cnf(c_0_681,plain,
    ( op(e3,e2) = unit
    | op(e3,e3) = unit
    | op(e2,e3) = e0
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_675,c_0_676]) ).

cnf(c_0_682,plain,
    ( op(e2,e3) = e0
    | op(e2,e3) = unit
    | e0 = unit ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_677,c_0_666]),c_0_678])]) ).

cnf(c_0_683,plain,
    ( op(e0,op(e3,e1)) = e1
    | inv(e0) = e0
    | inv(e0) = e1
    | inv(e0) = e2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_679,c_0_552]),c_0_400]) ).

cnf(c_0_684,plain,
    ( e0 = unit
    | inv(e0) != unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_518,c_0_666]),c_0_365]) ).

cnf(c_0_685,plain,
    ( op(e2,e3) = e0
    | op(e3,e2) = unit
    | e0 = unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_680,c_0_681]),c_0_682]) ).

cnf(c_0_686,plain,
    ( op(e0,e3) = unit
    | inv(e0) = e2
    | inv(e0) = e0
    | e0 = unit ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_683,c_0_666]),c_0_497]),c_0_684]) ).

cnf(c_0_687,plain,
    ( op(e2,e3) = e0
    | e0 = unit
    | op(e0,e2) != unit ),
    inference(spm,[status(thm)],[c_0_381,c_0_685]) ).

cnf(c_0_688,plain,
    ( op(e0,op(e3,e2)) = e2
    | inv(e0) = e0
    | inv(e0) = e2
    | e0 = unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_551,c_0_686]),c_0_382]) ).

cnf(c_0_689,plain,
    ( op(e2,e3) = e0
    | e0 = unit
    | inv(e0) != e2 ),
    inference(spm,[status(thm)],[c_0_687,c_0_390]) ).

cnf(c_0_690,plain,
    ( op(e3,e2) = op(e2,e3)
    | op(e3,e3) = unit
    | e0 = unit
    | op(e2,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_680,c_0_671]) ).

cnf(c_0_691,plain,
    ( op(e2,e3) = e0
    | inv(e0) = e0
    | e0 = unit ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_688,c_0_685]),c_0_380]),c_0_528]),c_0_689]) ).

cnf(c_0_692,plain,
    ( op(e3,e3) != e2
    | op(e3,op(e3,e3)) != e0
    | op(op(e3,op(e3,e3)),e3) != e1 ),
    i_0_190 ).

cnf(c_0_693,plain,
    op(op(e3,e2),e3) = op(e3,op(e2,e3)),
    i_0_21 ).

cnf(c_0_694,plain,
    ( op(e3,e3) = unit
    | op(e3,e2) = e0
    | inv(e0) = e0
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_690,c_0_691]) ).

cnf(c_0_695,plain,
    ( op(e3,e3) = unit
    | op(e3,e3) = e0
    | e0 = unit
    | op(e3,op(e2,e3)) != e1
    | op(e3,e2) != e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_692,c_0_668]),c_0_693]) ).

cnf(c_0_696,plain,
    ( op(e3,e2) = e0
    | inv(e0) = e0
    | e0 = unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_490,c_0_694]),c_0_676]) ).

cnf(c_0_697,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = unit
    | inv(e0) = e0
    | e0 = unit
    | op(e3,op(e2,e3)) != e1 ),
    inference(spm,[status(thm)],[c_0_695,c_0_696]) ).

cnf(c_0_698,plain,
    ( op(e3,op(e0,e1)) = e1
    | inv(e0) = e0
    | inv(e0) = e1
    | inv(e0) = e2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_558,c_0_546]),c_0_400]) ).

cnf(c_0_699,plain,
    ( op(e3,op(e2,e3)) = op(e0,e3)
    | op(e3,e2) = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_693,c_0_676]) ).

cnf(c_0_700,plain,
    ( op(e3,e3) = unit
    | op(e3,e3) = e0
    | inv(e0) = e0
    | e0 = unit
    | op(e3,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_697,c_0_691]) ).

cnf(c_0_701,plain,
    ( op(e3,e0) = unit
    | inv(e0) = e2
    | inv(e0) = e0
    | e0 = unit ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_698,c_0_666]),c_0_380]),c_0_684]) ).

cnf(c_0_702,plain,
    ( op(e3,e0) = op(e0,e3)
    | op(e3,e2) = unit
    | inv(e0) = e0
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_699,c_0_691]) ).

cnf(c_0_703,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = unit
    | inv(e0) = e2
    | inv(e0) = e0
    | e0 = unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_700,c_0_701]),c_0_666]) ).

cnf(c_0_704,plain,
    ( op(e1,e3) = e2
    | op(e1,e3) = e1
    | op(e1,e3) = e0
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_603,c_0_493]) ).

cnf(c_0_705,plain,
    ( inv(e1) != e1
    | inv(e1) != e3 ),
    inference(spm,[status(thm)],[c_0_364,c_0_510]) ).

cnf(c_0_706,plain,
    op(e3,e0) != op(e2,e0),
    i_0_167 ).

cnf(c_0_707,plain,
    ( op(e3,e0) = op(e0,e3)
    | inv(e0) = e0
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_696,c_0_702]) ).

cnf(c_0_708,plain,
    op(op(e0,e2),e3) = op(e0,op(e2,e3)),
    i_0_69 ).

cnf(c_0_709,plain,
    ( op(e0,op(e3,e3)) = e3
    | inv(e0) = e0
    | inv(e0) = e2
    | e0 = unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_562,c_0_686]),c_0_464]) ).

cnf(c_0_710,plain,
    ( op(e3,e3) = unit
    | inv(e0) = e0
    | inv(e0) = e2
    | e0 = unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_490,c_0_703]),c_0_696]) ).

cnf(c_0_711,plain,
    op(op(e2,e0),e3) = op(e2,op(e0,e3)),
    i_0_45 ).

cnf(c_0_712,plain,
    ( op(e0,e3) = e2
    | op(e0,e3) = e1
    | op(e0,e3) = e0
    | op(e1,e3) = e0
    | op(e1,e3) = e1
    | op(e1,e3) = e2 ),
    inference(spm,[status(thm)],[c_0_704,c_0_585]) ).

cnf(c_0_713,plain,
    e3 != e2,
    i_0_173 ).

cnf(c_0_714,plain,
    ( e0 = unit
    | e3 != unit ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_705,c_0_666]),c_0_365]),c_0_365])]) ).

cnf(c_0_715,plain,
    ( inv(e0) = e0
    | e0 = unit
    | op(e2,e0) != op(e0,e3) ),
    inference(spm,[status(thm)],[c_0_706,c_0_707]) ).

cnf(c_0_716,plain,
    ( inv(e0) != e0
    | inv(e0) != e2 ),
    inference(spm,[status(thm)],[c_0_482,c_0_383]) ).

cnf(c_0_717,plain,
    ( op(e0,op(e2,e3)) = e3
    | inv(e0) != e2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_708,c_0_390]),c_0_464]) ).

cnf(c_0_718,plain,
    ( inv(e0) = e2
    | inv(e0) = e0
    | e0 = unit ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_709,c_0_710]),c_0_380]),c_0_499]) ).

cnf(c_0_719,plain,
    ( op(e2,op(e0,e3)) = e3
    | inv(e0) != e2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_711,c_0_413]),c_0_464]) ).

cnf(c_0_720,plain,
    ( op(e0,e3) = e0
    | op(e0,e3) = unit
    | op(e0,e3) = e2
    | e0 = unit ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_712,c_0_666]),c_0_464]),c_0_464]),c_0_464]),c_0_499]),c_0_713]),c_0_714]) ).

cnf(c_0_721,plain,
    ( e0 = unit
    | op(e0,e3) != unit
    | inv(e0) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_715,c_0_413]),c_0_716]) ).

cnf(c_0_722,plain,
    ( op(e0,e0) = e3
    | e0 = unit
    | inv(e0) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_717,c_0_691]),c_0_716]) ).

cnf(c_0_723,plain,
    op(op(e0,e2),e2) = op(e0,op(e2,e2)),
    i_0_70 ).

cnf(c_0_724,plain,
    ( op(e0,e2) = unit
    | inv(e0) = e0
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_469,c_0_718]) ).

cnf(c_0_725,plain,
    ( op(e0,e3) = e0
    | op(e2,e2) = e3
    | e0 = unit
    | inv(e0) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_719,c_0_720]),c_0_721]) ).

cnf(c_0_726,plain,
    ( inv(e0) = e0
    | e0 = unit
    | op(e0,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_581,c_0_691]) ).

cnf(c_0_727,plain,
    ( op(e0,e0) != e3
    | op(e0,op(e0,e0)) != e2
    | op(op(e0,op(e0,e0)),e0) != e1 ),
    i_0_191 ).

cnf(c_0_728,plain,
    ( op(e0,e0) = e3
    | inv(e0) = e0
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_722,c_0_718]) ).

cnf(c_0_729,plain,
    ( op(e0,op(e2,e2)) = e2
    | inv(e0) = e0
    | e0 = unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_723,c_0_724]),c_0_382]) ).

cnf(c_0_730,plain,
    ( op(e2,e2) = e3
    | inv(e0) = e0
    | e0 = unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_725,c_0_718]),c_0_726]) ).

cnf(c_0_731,plain,
    ( inv(e0) = e0
    | e0 = unit
    | op(e0,op(e3,e0)) != e1
    | op(e0,e3) != e2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_727,c_0_728]),c_0_601]) ).

cnf(c_0_732,plain,
    ( op(e0,e3) = e2
    | inv(e0) = e0
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_729,c_0_730]) ).

cnf(c_0_733,plain,
    ( inv(e0) = e0
    | e0 = unit
    | op(e0,op(e3,e0)) != e1 ),
    inference(spm,[status(thm)],[c_0_731,c_0_732]) ).

cnf(c_0_734,plain,
    ( inv(e0) = e0
    | e0 = unit
    | op(e0,op(e0,e3)) != e1 ),
    inference(spm,[status(thm)],[c_0_733,c_0_707]) ).

cnf(c_0_735,plain,
    ( inv(e0) = e0
    | e0 = unit
    | op(e0,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_734,c_0_732]) ).

cnf(c_0_736,plain,
    ( inv(e0) = e0
    | e0 = unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_735,c_0_724]),c_0_666]) ).

cnf(c_0_737,plain,
    ( op(e0,e0) = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_469,c_0_736]) ).

cnf(c_0_738,plain,
    ( e0 = unit
    | op(e0,e3) != e3 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_603,c_0_666]),c_0_464]) ).

cnf(c_0_739,plain,
    ( op(e0,op(e0,e3)) = e3
    | e0 = unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_617,c_0_737]),c_0_464]) ).

cnf(c_0_740,plain,
    ( op(e0,e3) = e2
    | op(e0,e3) = e1
    | op(e0,e3) = e0
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_738,c_0_585]) ).

cnf(c_0_741,plain,
    ( op(e0,e3) = e0
    | op(e0,e3) = e1
    | op(e0,e2) = e3
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_739,c_0_740]) ).

cnf(c_0_742,plain,
    ( op(e0,e2) = e3
    | op(e0,e3) = e0
    | e0 = unit
    | op(e0,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_440,c_0_741]) ).

cnf(c_0_743,plain,
    ( op(e0,e3) = e0
    | op(e0,e2) = e3
    | e0 = unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_742,c_0_737]),c_0_666]) ).

cnf(c_0_744,plain,
    op(op(e0,e0),e2) = op(e0,op(e0,e2)),
    i_0_78 ).

cnf(c_0_745,plain,
    ( op(e0,e2) = e3
    | e0 = unit
    | op(e0,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_398,c_0_743]) ).

cnf(c_0_746,plain,
    ( op(e0,op(e0,e2)) = e2
    | e0 = unit ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_744,c_0_737]),c_0_382]) ).

cnf(c_0_747,plain,
    ( op(e0,e2) = e3
    | e0 = unit ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_745,c_0_666]),c_0_380])]) ).

cnf(c_0_748,plain,
    ( op(e3,e3) = unit
    | op(e3,e3) = e0
    | e0 = unit
    | op(e0,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_625,c_0_668]) ).

cnf(c_0_749,plain,
    ( op(e0,e3) = e2
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_746,c_0_747]) ).

cnf(c_0_750,plain,
    ( op(e2,e3) = unit
    | op(e3,e3) = unit
    | op(e3,e2) = e0
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_690,c_0_682]) ).

cnf(c_0_751,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_748,c_0_749]) ).

cnf(c_0_752,plain,
    ( op(e3,e2) = e0
    | op(e2,e3) = unit
    | e0 = unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_490,c_0_750]),c_0_676]) ).

cnf(c_0_753,plain,
    ( op(e3,e0) = op(e0,e3)
    | op(e2,e3) = unit
    | op(e3,e2) = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_699,c_0_682]) ).

cnf(c_0_754,plain,
    ( op(e3,e3) != e0
    | op(e3,op(e3,e3)) != e2
    | op(op(e3,op(e3,e3)),e3) != e1 ),
    i_0_192 ).

cnf(c_0_755,plain,
    ( op(e3,e0) = op(e0,e3)
    | op(e3,e3) = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_502,c_0_751]) ).

cnf(c_0_756,plain,
    ( op(e3,e0) = op(e0,e3)
    | op(e2,e3) = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_752,c_0_753]) ).

cnf(c_0_757,plain,
    ( op(e3,e3) = unit
    | e0 = unit
    | op(e3,op(e0,e3)) != e1
    | op(e3,e0) != e2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_754,c_0_751]),c_0_637]) ).

cnf(c_0_758,plain,
    ( op(e3,e0) = op(e0,e3)
    | e0 = unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_680,c_0_755]),c_0_756]) ).

cnf(c_0_759,plain,
    ( op(e3,e3) = unit
    | e0 = unit
    | op(e3,op(e0,e3)) != e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_757,c_0_758]),c_0_749]) ).

cnf(c_0_760,plain,
    op(op(e2,e3),e2) = op(e2,op(e3,e2)),
    i_0_34 ).

cnf(c_0_761,plain,
    ( inv(e1) != e1
    | inv(e1) != e2 ),
    inference(spm,[status(thm)],[c_0_480,c_0_354]) ).

cnf(c_0_762,plain,
    ( op(e3,e3) = unit
    | e0 = unit
    | op(e3,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_759,c_0_749]) ).

cnf(c_0_763,plain,
    ( op(e3,e3) = unit
    | e0 = unit
    | op(e2,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_680,c_0_751]) ).

cnf(c_0_764,plain,
    ( op(e2,op(e3,e2)) = op(e3,e2)
    | op(e2,e3) = e2
    | op(e2,e3) = e1
    | op(e2,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_760,c_0_485]) ).

cnf(c_0_765,plain,
    ( e0 = unit
    | e2 != unit ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_761,c_0_666]),c_0_365]),c_0_365])]) ).

cnf(c_0_766,plain,
    ( op(e3,e3) = unit
    | e0 = unit ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_762,c_0_685]),c_0_666]),c_0_763]) ).

cnf(c_0_767,plain,
    ( op(e2,e3) = e0
    | op(e2,e3) = e1
    | op(e2,e3) = e2
    | e0 = unit ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_764,c_0_685]),c_0_678]),c_0_765]) ).

cnf(c_0_768,plain,
    op(op(e2,e3),e0) = op(e2,op(e3,e0)),
    i_0_36 ).

cnf(c_0_769,plain,
    ( e0 = unit
    | op(e2,e3) != unit ),
    inference(spm,[status(thm)],[c_0_680,c_0_766]) ).

cnf(c_0_770,plain,
    ( op(e2,e3) = e1
    | op(e2,e3) = e0
    | e0 = unit ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_682,c_0_767]),c_0_528]),c_0_765]) ).

cnf(c_0_771,plain,
    ( op(e2,op(e3,e0)) = op(e0,e0)
    | op(e2,e3) = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_768,c_0_682]) ).

cnf(c_0_772,plain,
    ( op(e0,op(e2,e3)) = op(e3,e3)
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_708,c_0_747]) ).

cnf(c_0_773,plain,
    ( op(e2,e3) = e0
    | e0 = unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_769,c_0_770]),c_0_666]) ).

cnf(c_0_774,plain,
    ( op(e2,op(e0,e3)) = op(e0,e0)
    | op(e2,e3) = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_771,c_0_756]) ).

cnf(c_0_775,plain,
    ( op(e0,e0) != e1
    | op(e1,e1) != e1
    | op(e2,e2) != e1
    | op(e3,e3) != e1 ),
    i_0_181 ).

cnf(c_0_776,plain,
    ( op(e3,e3) = op(e0,e0)
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_772,c_0_773]) ).

cnf(c_0_777,plain,
    ( op(e2,e2) = op(e0,e0)
    | op(e2,e3) = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_774,c_0_749]) ).

cnf(c_0_778,plain,
    ( e0 = unit
    | op(e0,e0) != e1
    | op(e1,e1) != e1
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_775,c_0_776]) ).

cnf(c_0_779,plain,
    ( op(e2,e2) = op(e0,e0)
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_769,c_0_777]) ).

cnf(c_0_780,plain,
    ( e0 = unit
    | op(e0,e0) != e1
    | op(e1,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_778,c_0_779]) ).

cnf(c_0_781,plain,
    ( op(unit,unit) = unit
    | e0 = unit ),
    inference(spm,[status(thm)],[c_0_400,c_0_666]) ).

cnf(c_0_782,plain,
    op(op(e2,e1),e3) = op(e2,op(e1,e3)),
    i_0_41 ).

cnf(c_0_783,plain,
    ( op(e2,e1) = e0
    | op(e2,e1) = e1
    | op(e2,e1) = e2
    | op(e2,e1) = e3 ),
    i_0_7 ).

cnf(c_0_784,plain,
    op(inv(e3),e3) = unit,
    i_0_94 ).

cnf(c_0_785,plain,
    op(e3,inv(e3)) = unit,
    i_0_95 ).

cnf(c_0_786,plain,
    ( inv(e2) != e1
    | inv(e1) != e3 ),
    inference(spm,[status(thm)],[c_0_471,c_0_510]) ).

cnf(c_0_787,plain,
    e0 = unit,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_780,c_0_666]),c_0_781]),c_0_737]) ).

cnf(c_0_788,plain,
    ( op(e2,op(e1,e3)) = op(e3,e3)
    | op(e2,e1) = e2
    | op(e2,e1) = e1
    | op(e2,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_782,c_0_783]) ).

cnf(c_0_789,plain,
    ( op(e1,e3) = unit
    | inv(e1) != e3 ),
    inference(spm,[status(thm)],[c_0_784,c_0_510]) ).

cnf(c_0_790,plain,
    op(e2,e1) != op(e0,e1),
    i_0_165 ).

cnf(c_0_791,plain,
    op(e2,e1) != op(e2,e0),
    i_0_136 ).

cnf(c_0_792,plain,
    ( op(e3,e1) = unit
    | inv(e1) != e3 ),
    inference(spm,[status(thm)],[c_0_785,c_0_510]) ).

cnf(c_0_793,plain,
    ( inv(e2) = e2
    | inv(e2) = e0
    | inv(e1) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_480,c_0_475]),c_0_786]) ).

cnf(c_0_794,plain,
    inv(e2) != unit,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_482,c_0_787]),c_0_365]) ).

cnf(c_0_795,plain,
    ( op(e2,e1) = e0
    | op(e2,e1) = e1
    | op(e2,e1) = e2
    | op(e3,e3) = e2
    | inv(e1) != e3 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_788,c_0_789]),c_0_678]) ).

cnf(c_0_796,plain,
    op(e2,e1) != e1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_790,c_0_787]),c_0_400]) ).

cnf(c_0_797,plain,
    op(e2,e1) != e2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_791,c_0_787]),c_0_678]) ).

cnf(c_0_798,plain,
    ( op(e2,e1) != unit
    | inv(e1) != e3 ),
    inference(spm,[status(thm)],[c_0_531,c_0_792]) ).

cnf(c_0_799,plain,
    ( inv(e2) = e2
    | inv(e1) != e3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_793,c_0_787]),c_0_794]) ).

cnf(c_0_800,plain,
    op(op(e3,e3),e1) = op(e3,op(e3,e1)),
    i_0_19 ).

cnf(c_0_801,plain,
    ( op(e3,e3) = e2
    | inv(e1) != e3 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_795,c_0_787]),c_0_796]),c_0_797]),c_0_798]) ).

cnf(c_0_802,plain,
    op(op(e1,e3),e2) = op(e1,op(e3,e2)),
    i_0_50 ).

cnf(c_0_803,plain,
    op(op(e2,e2),e1) = op(e2,op(e2,e1)),
    i_0_39 ).

cnf(c_0_804,plain,
    ( op(e2,e2) = unit
    | inv(e1) != e3 ),
    inference(spm,[status(thm)],[c_0_366,c_0_799]) ).

cnf(c_0_805,plain,
    ( op(e3,op(e3,e1)) = op(e2,e1)
    | inv(e1) != e3 ),
    inference(spm,[status(thm)],[c_0_800,c_0_801]) ).

cnf(c_0_806,plain,
    ( op(e1,op(e3,e2)) = e2
    | inv(e1) != e3 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_802,c_0_789]),c_0_382]) ).

cnf(c_0_807,plain,
    ( op(e3,e2) = op(e2,e3)
    | inv(e1) != e3 ),
    inference(spm,[status(thm)],[c_0_502,c_0_801]) ).

cnf(c_0_808,plain,
    ( op(e2,op(e2,e1)) = e1
    | inv(e1) != e3 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_803,c_0_804]),c_0_400]) ).

cnf(c_0_809,plain,
    ( op(e2,e1) = e3
    | inv(e1) != e3 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_805,c_0_792]),c_0_497]) ).

cnf(c_0_810,plain,
    ( op(e3,e3) != e2
    | op(e3,op(e3,e3)) != e1
    | op(op(e3,op(e3,e3)),e3) != e0 ),
    i_0_184 ).

cnf(c_0_811,plain,
    op(op(e3,e1),e1) = op(e3,op(e1,e1)),
    i_0_27 ).

cnf(c_0_812,plain,
    ( op(e1,op(e2,e3)) = e2
    | inv(e1) != e3 ),
    inference(spm,[status(thm)],[c_0_806,c_0_807]) ).

cnf(c_0_813,plain,
    ( op(e2,e3) = e1
    | inv(e1) != e3 ),
    inference(spm,[status(thm)],[c_0_808,c_0_809]) ).

cnf(c_0_814,plain,
    ( inv(e1) = e2
    | inv(e1) = e1
    | inv(e1) = e0
    | inv(e3) = e1 ),
    inference(spm,[status(thm)],[c_0_487,c_0_371]) ).

cnf(c_0_815,plain,
    inv(e1) != unit,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_518,c_0_787]),c_0_365]) ).

cnf(c_0_816,plain,
    ( op(op(e3,op(e3,e3)),e3) != unit
    | op(e3,op(e3,e3)) != e1
    | op(e3,e3) != e2 ),
    inference(rw,[status(thm)],[c_0_810,c_0_787]) ).

cnf(c_0_817,plain,
    ( op(e3,op(e1,e1)) = e1
    | inv(e1) != e3 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_811,c_0_792]),c_0_400]) ).

cnf(c_0_818,plain,
    ( op(e1,e1) = e2
    | inv(e1) != e3 ),
    inference(spm,[status(thm)],[c_0_812,c_0_813]) ).

cnf(c_0_819,plain,
    inv(inv(e3)) = e3,
    i_0_103 ).

cnf(c_0_820,plain,
    ( inv(e3) = e1
    | inv(e1) = e1
    | inv(e1) = e2 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_814,c_0_787]),c_0_815]) ).

cnf(c_0_821,plain,
    ( op(e3,op(e2,e3)) != unit
    | op(e3,e2) != e1
    | inv(e1) != e3 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_816,c_0_801]),c_0_693]) ).

cnf(c_0_822,plain,
    ( op(e3,e2) = e1
    | inv(e1) != e3 ),
    inference(spm,[status(thm)],[c_0_817,c_0_818]) ).

cnf(c_0_823,plain,
    op(op(e1,e2),e3) = op(e1,op(e2,e3)),
    i_0_53 ).

cnf(c_0_824,plain,
    ( inv(e1) = e2
    | inv(e1) = e1
    | inv(e1) = e3 ),
    inference(spm,[status(thm)],[c_0_819,c_0_820]) ).

cnf(c_0_825,plain,
    inv(e1) != e3,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_821,c_0_813]),c_0_822]),c_0_792]) ).

cnf(c_0_826,plain,
    op(op(e2,e3),e1) = op(e2,op(e3,e1)),
    i_0_35 ).

cnf(c_0_827,plain,
    ( op(e1,op(e2,e3)) = e3
    | inv(e1) != e2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_823,c_0_356]),c_0_464]) ).

cnf(c_0_828,plain,
    ( inv(e1) = e1
    | inv(e1) = e2 ),
    inference(sr,[status(thm)],[c_0_824,c_0_825]) ).

cnf(c_0_829,plain,
    ( op(e2,op(e3,e1)) = op(e3,e1)
    | op(e2,e3) = e2
    | op(e2,e3) = e1
    | op(e2,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_826,c_0_485]) ).

cnf(c_0_830,plain,
    ( op(e3,e1) = unit
    | inv(e1) = e2
    | inv(e1) = e1
    | inv(e1) = e0 ),
    inference(spm,[status(thm)],[c_0_411,c_0_371]) ).

cnf(c_0_831,plain,
    ( op(e2,e3) = e2
    | op(e2,e3) = e1
    | op(e2,e3) = e0
    | inv(e1) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_827,c_0_485]),c_0_492]) ).

cnf(c_0_832,plain,
    op(e2,e3) != op(e2,e0),
    i_0_134 ).

cnf(c_0_833,plain,
    ( op(e1,e2) = unit
    | inv(e1) = e1 ),
    inference(spm,[status(thm)],[c_0_422,c_0_828]) ).

cnf(c_0_834,plain,
    ( op(e2,e3) = e0
    | op(e2,e3) = e1
    | op(e2,e3) = e2
    | inv(e1) = e0
    | inv(e1) = e1
    | e2 = unit ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_829,c_0_830]),c_0_678]),c_0_831]) ).

cnf(c_0_835,plain,
    op(e2,e3) != e2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_832,c_0_787]),c_0_678]) ).

cnf(c_0_836,plain,
    e2 != unit,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_716,c_0_787]),c_0_365]),c_0_787]),c_0_787]),c_0_365])]) ).

cnf(c_0_837,plain,
    ( op(e1,e2) = e0
    | op(e1,e2) = e1
    | op(e1,e2) = e2
    | op(e1,e2) = e3 ),
    i_0_10 ).

cnf(c_0_838,plain,
    ( op(e1,op(e2,e3)) = e3
    | inv(e1) = e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_823,c_0_833]),c_0_464]) ).

cnf(c_0_839,plain,
    ( op(e2,e3) = e1
    | op(e2,e3) = unit
    | inv(e1) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_834,c_0_787]),c_0_787]),c_0_835]),c_0_815]),c_0_836]) ).

cnf(c_0_840,plain,
    ( op(e1,op(e2,e3)) = op(e3,e3)
    | op(e1,e2) = e2
    | op(e1,e2) = e1
    | op(e1,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_823,c_0_837]) ).

cnf(c_0_841,plain,
    ( op(e2,e3) = unit
    | inv(e2) != e3 ),
    inference(spm,[status(thm)],[c_0_784,c_0_486]) ).

cnf(c_0_842,plain,
    ( op(e3,e2) = unit
    | inv(e2) != e3 ),
    inference(spm,[status(thm)],[c_0_785,c_0_486]) ).

cnf(c_0_843,plain,
    ( op(e2,e3) = unit
    | op(e1,e1) = e3
    | inv(e1) = e1 ),
    inference(spm,[status(thm)],[c_0_838,c_0_839]) ).

cnf(c_0_844,plain,
    ( op(e3,e3) != e1
    | op(e3,op(e3,e3)) != e2
    | op(op(e3,op(e3,e3)),e3) != e0 ),
    i_0_186 ).

cnf(c_0_845,plain,
    ( op(e1,e2) = e0
    | op(e1,e2) = e1
    | op(e1,e2) = e2
    | op(e3,e3) = e1
    | inv(e2) != e3 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_840,c_0_841]),c_0_363]) ).

cnf(c_0_846,plain,
    op(e1,e2) != e1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_355,c_0_787]),c_0_363]) ).

cnf(c_0_847,plain,
    op(e1,e2) != e2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_372,c_0_787]),c_0_382]) ).

cnf(c_0_848,plain,
    ( op(e1,e2) != unit
    | inv(e2) != e3 ),
    inference(spm,[status(thm)],[c_0_669,c_0_842]) ).

cnf(c_0_849,plain,
    ( op(e1,e3) = e2
    | op(e1,e3) = e1
    | op(e1,e3) = e0
    | op(e2,e1) = e0
    | op(e2,e1) = e1
    | op(e2,e1) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_788,c_0_493]),c_0_680]) ).

cnf(c_0_850,plain,
    op(e1,e3) != e1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_362,c_0_787]),c_0_363]) ).

cnf(c_0_851,plain,
    ( op(e1,e1) != e3
    | op(e1,op(e1,e1)) != e2
    | op(op(e1,op(e1,e1)),e1) != e0 ),
    i_0_185 ).

cnf(c_0_852,plain,
    op(op(e1,e1),e1) = op(e1,op(e1,e1)),
    i_0_59 ).

cnf(c_0_853,plain,
    ( op(e1,e1) = e3
    | inv(e1) = e1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_838,c_0_843]),c_0_363]),c_0_500]) ).

cnf(c_0_854,plain,
    ( op(e3,e1) = e2
    | op(e3,e1) = e1
    | op(e3,e1) = e0
    | op(e3,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_610,c_0_523]) ).

cnf(c_0_855,plain,
    op(e3,e1) != e1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_399,c_0_787]),c_0_400]) ).

cnf(c_0_856,plain,
    inv(inv(e2)) = e2,
    i_0_104 ).

cnf(c_0_857,plain,
    ( op(op(e3,op(e3,e3)),e3) != unit
    | op(e3,op(e3,e3)) != e2
    | op(e3,e3) != e1 ),
    inference(rw,[status(thm)],[c_0_844,c_0_787]) ).

cnf(c_0_858,plain,
    ( op(e3,e3) = e1
    | inv(e2) != e3 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_845,c_0_787]),c_0_846]),c_0_847]),c_0_848]) ).

cnf(c_0_859,plain,
    ( op(e2,e1) != unit
    | inv(e2) != e3 ),
    inference(spm,[status(thm)],[c_0_673,c_0_841]) ).

cnf(c_0_860,plain,
    ( op(e2,e1) = unit
    | op(e1,e3) = unit
    | op(e1,e3) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_849,c_0_787]),c_0_787]),c_0_850]),c_0_796]),c_0_797]) ).

cnf(c_0_861,plain,
    ( op(e1,e3) != unit
    | inv(e2) != e3 ),
    inference(spm,[status(thm)],[c_0_484,c_0_841]) ).

cnf(c_0_862,plain,
    ( op(op(e1,op(e1,e1)),e1) != unit
    | op(e1,op(e1,e1)) != e2
    | op(e1,e1) != e3 ),
    inference(rw,[status(thm)],[c_0_851,c_0_787]) ).

cnf(c_0_863,plain,
    ( op(e3,e1) = op(e1,e3)
    | inv(e1) = e1 ),
    inference(spm,[status(thm)],[c_0_852,c_0_853]) ).

cnf(c_0_864,plain,
    ( op(e3,e1) = unit
    | op(e3,e1) = e2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_854,c_0_787]),c_0_787]),c_0_497])]),c_0_855]) ).

cnf(c_0_865,plain,
    ( inv(e2) = e2
    | inv(e2) = e1
    | inv(e2) = e0
    | inv(e3) = e2 ),
    inference(spm,[status(thm)],[c_0_856,c_0_475]) ).

cnf(c_0_866,plain,
    ( op(e3,op(e1,e3)) != unit
    | op(e3,e1) != e2
    | inv(e2) != e3 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_857,c_0_858]),c_0_570]) ).

cnf(c_0_867,plain,
    ( op(e1,e3) = e2
    | inv(e2) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_859,c_0_860]),c_0_861]) ).

cnf(c_0_868,plain,
    ( inv(e1) = e1
    | op(e1,op(e3,e1)) != unit
    | op(e1,e3) != e2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_862,c_0_853]),c_0_536]) ).

cnf(c_0_869,plain,
    ( op(e3,e1) = unit
    | op(e1,e3) = e2
    | inv(e1) = e1 ),
    inference(spm,[status(thm)],[c_0_863,c_0_864]) ).

cnf(c_0_870,plain,
    ( op(e2,e1) = unit
    | inv(e1) = e1 ),
    inference(spm,[status(thm)],[c_0_411,c_0_828]) ).

cnf(c_0_871,plain,
    ( inv(e3) = e2
    | inv(e2) = e1
    | inv(e2) = e2 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_865,c_0_787]),c_0_794]) ).

cnf(c_0_872,plain,
    ( op(e3,e1) != e2
    | inv(e2) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_866,c_0_867]),c_0_842]) ).

cnf(c_0_873,plain,
    ( op(e3,e1) = op(e1,e3)
    | inv(e2) != e3 ),
    inference(spm,[status(thm)],[c_0_502,c_0_858]) ).

cnf(c_0_874,plain,
    ( inv(e1) = e1
    | op(e1,op(e1,e3)) != unit
    | op(e1,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_868,c_0_863]) ).

cnf(c_0_875,plain,
    ( op(e1,e3) = e2
    | inv(e1) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_531,c_0_869]),c_0_870]) ).

cnf(c_0_876,plain,
    ( inv(e3) = e0
    | inv(e3) = e1
    | inv(e3) = e2
    | inv(e3) = e3 ),
    i_0_90 ).

cnf(c_0_877,plain,
    inv(e3) != unit,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_401,c_0_787]),c_0_365]) ).

cnf(c_0_878,plain,
    ( inv(e2) = e2
    | inv(e2) = e1
    | inv(e2) = e3 ),
    inference(spm,[status(thm)],[c_0_819,c_0_871]) ).

cnf(c_0_879,plain,
    inv(e2) != e3,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_872,c_0_873]),c_0_867]) ).

cnf(c_0_880,plain,
    ( inv(e1) = e2
    | inv(e2) != e1 ),
    i_0_111 ).

cnf(c_0_881,plain,
    inv(e1) = e1,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_874,c_0_875]),c_0_833]) ).

cnf(c_0_882,plain,
    e2 != e1,
    i_0_175 ).

cnf(c_0_883,plain,
    ( op(e0,e0) != e0
    | op(e1,e1) != e0
    | op(e2,e2) != e0
    | op(e3,e3) != e0 ),
    i_0_182 ).

cnf(c_0_884,plain,
    op(unit,unit) = unit,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_444,c_0_787]),c_0_365]),c_0_787]) ).

cnf(c_0_885,plain,
    ( inv(e3) = e3
    | inv(e3) = e2
    | inv(e3) = e1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_876,c_0_787]),c_0_877]) ).

cnf(c_0_886,plain,
    ( inv(e2) = e1
    | inv(e2) = e2 ),
    inference(sr,[status(thm)],[c_0_878,c_0_879]) ).

cnf(c_0_887,plain,
    inv(e2) != e1,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_880,c_0_881]),c_0_882]) ).

cnf(c_0_888,plain,
    ( op(e1,e1) != unit
    | op(e2,e2) != unit
    | op(e3,e3) != unit ),
    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)],[c_0_883,c_0_787]),c_0_787]),c_0_787]),c_0_787]),c_0_787]),c_0_787]),c_0_884])]) ).

cnf(c_0_889,plain,
    ( op(e3,e3) = unit
    | inv(e3) = e1
    | inv(e3) = e2 ),
    inference(spm,[status(thm)],[c_0_785,c_0_885]) ).

cnf(c_0_890,plain,
    ( inv(e2) = e3
    | inv(e3) != e2 ),
    i_0_107 ).

cnf(c_0_891,plain,
    inv(e2) = e2,
    inference(sr,[status(thm)],[c_0_886,c_0_887]) ).

cnf(c_0_892,plain,
    ( inv(e1) = e3
    | inv(e3) != e1 ),
    i_0_108 ).

cnf(c_0_893,plain,
    ( inv(e3) = e2
    | inv(e3) = e1
    | op(e1,e1) != unit
    | op(e2,e2) != unit ),
    inference(spm,[status(thm)],[c_0_888,c_0_889]) ).

cnf(c_0_894,plain,
    op(e1,e1) = unit,
    inference(rw,[status(thm)],[c_0_411,c_0_881]) ).

cnf(c_0_895,plain,
    inv(e3) != e2,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_890,c_0_891]),c_0_713]) ).

cnf(c_0_896,plain,
    inv(e3) != e1,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_892,c_0_881]),c_0_500]) ).

cnf(c_0_897,plain,
    ( op(e2,e2) = unit
    | inv(e2) = e1 ),
    inference(spm,[status(thm)],[c_0_366,c_0_886]) ).

cnf(c_0_898,plain,
    op(e2,e2) != unit,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_893,c_0_894])]),c_0_895]),c_0_896]) ).

cnf(c_0_899,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_897,c_0_887]),c_0_898]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : ALG024+1 : TPTP v8.1.0. Released v2.7.0.
% 0.04/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n020.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jun  7 23:17:08 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected complete mode:
% 11.38/2.84  # ENIGMATIC: Solved by autoschedule-lgb:
% 11.38/2.84  # No SInE strategy applied
% 11.38/2.84  # Trying AutoSched0 for 150 seconds
% 11.38/2.84  # AutoSched0-Mode selected heuristic G_E___208_C00_02_nc_F1_SE_CS_SP_PS_S04CN
% 11.38/2.84  # and selection function MSelectComplexExceptUniqMaxHorn.
% 11.38/2.84  #
% 11.38/2.84  # Preprocessing time       : 0.026 s
% 11.38/2.84  # Presaturation interreduction done
% 11.38/2.84  
% 11.38/2.84  # Proof found!
% 11.38/2.84  # SZS status Theorem
% 11.38/2.84  # SZS output start CNFRefutation
% See solution above
% 11.38/2.84  # Training examples: 0 positive, 0 negative
% 11.38/2.84  
% 11.38/2.84  # -------------------------------------------------
% 11.38/2.84  # User time                : 0.510 s
% 11.38/2.84  # System time              : 0.022 s
% 11.38/2.84  # Total time               : 0.532 s
% 11.38/2.84  # Maximum resident set size: 7124 pages
% 11.38/2.84  
%------------------------------------------------------------------------------