TSTP Solution File: ALG130+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG130+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 14 15:03:08 EDT 2022

% Result   : Unsatisfiable 13.01s 3.05s
% Output   : CNFRefutation 13.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   65
%            Number of leaves      :  105
% Syntax   : Number of clauses     :  537 ( 120 unt; 372 nHn; 537 RR)
%            Number of literals    : 1506 (1464 equ; 198 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   2 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_110,plain,
    op(op(e3,e0),e3) = e0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_110) ).

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

cnf(i_0_114,plain,
    op(op(e2,e0),e2) = e0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_114) ).

cnf(i_0_115,plain,
    op(op(e1,e3),e1) = e3,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_115) ).

cnf(i_0_109,plain,
    op(op(e3,e1),e3) = e1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_109) ).

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

cnf(i_0_116,plain,
    op(op(e1,e2),e1) = e2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_116) ).

cnf(i_0_128,plain,
    ( op(e2,e3) != e1
    | op(op(e2,e3),op(e2,e3)) != e0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_128) ).

cnf(i_0_118,plain,
    op(op(e1,e0),e1) = e0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_118) ).

cnf(i_0_119,plain,
    op(op(e0,e3),e0) = e3,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_119) ).

cnf(i_0_44,plain,
    ( op(e0,e0) = e2
    | op(e0,e1) = e2
    | op(e0,e2) = e2
    | op(e0,e3) = e2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_44) ).

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

cnf(i_0_40,plain,
    ( op(e1,e0) = e0
    | op(e1,e1) = e0
    | op(e1,e2) = e0
    | op(e1,e3) = e0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_40) ).

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

cnf(i_0_122,plain,
    op(op(e0,e0),e0) = e0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_122) ).

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

cnf(i_0_134,plain,
    ( op(e2,e3) != e0
    | op(op(e2,e3),op(e2,e3)) != e1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_134) ).

cnf(i_0_133,plain,
    ( op(e0,e3) != e2
    | op(op(e0,e3),op(e0,e3)) != e1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_133) ).

cnf(i_0_113,plain,
    op(op(e2,e1),e2) = e1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_113) ).

cnf(i_0_132,plain,
    ( op(e3,e2) != e0
    | op(op(e3,e2),op(e3,e2)) != e1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_132) ).

cnf(i_0_117,plain,
    op(op(e1,e1),e1) = e1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_117) ).

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

cnf(i_0_120,plain,
    op(op(e0,e2),e0) = e2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_120) ).

cnf(i_0_112,plain,
    op(op(e2,e2),e2) = e2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_112) ).

cnf(i_0_121,plain,
    op(op(e0,e1),e0) = e1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_121) ).

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

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

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

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

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

cnf(i_0_46,plain,
    ( op(e0,e0) = e1
    | op(e0,e1) = e1
    | op(e0,e2) = e1
    | op(e0,e3) = e1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_46) ).

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

cnf(i_0_144,plain,
    ( op(e2,e1) != e0
    | op(op(e2,e1),op(e2,e1)) != e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_144) ).

cnf(i_0_41,plain,
    ( op(e0,e0) = e3
    | op(e1,e0) = e3
    | op(e2,e0) = e3
    | op(e3,e0) = e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_41) ).

cnf(i_0_107,plain,
    op(op(e3,e3),e3) = e3,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_107) ).

cnf(i_0_138,plain,
    ( op(e3,e1) != e0
    | op(op(e3,e1),op(e3,e1)) != e2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_138) ).

cnf(i_0_33,plain,
    ( op(e0,e1) = e3
    | op(e1,e1) = e3
    | op(e2,e1) = e3
    | op(e3,e1) = e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_33) ).

cnf(i_0_108,plain,
    op(op(e3,e2),e3) = e2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_108) ).

cnf(i_0_126,plain,
    ( op(e3,e2) != e1
    | op(op(e3,e2),op(e3,e2)) != e0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_126) ).

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

cnf(i_0_19,plain,
    ( op(e0,e3) = e2
    | op(e1,e3) = e2
    | op(e2,e3) = e2
    | op(e3,e3) = e2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_19) ).

cnf(i_0_77,plain,
    op(e2,e3) != op(e0,e3),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_77) ).

cnf(i_0_142,plain,
    ( op(e2,e0) != e1
    | op(op(e2,e0),op(e2,e0)) != e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_142) ).

cnf(i_0_111,plain,
    op(op(e2,e3),e2) = e3,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_111) ).

cnf(i_0_136,plain,
    ( op(e3,e0) != e1
    | op(op(e3,e0),op(e3,e0)) != e2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_136) ).

cnf(i_0_42,plain,
    ( op(e0,e0) = e3
    | op(e0,e1) = e3
    | op(e0,e2) = e3
    | op(e0,e3) = e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_42) ).

cnf(i_0_127,plain,
    ( op(e1,e3) != e2
    | op(op(e1,e3),op(e1,e3)) != e0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_127) ).

cnf(i_0_123,plain,
    ( op(e2,e1) != e3
    | op(op(e2,e1),op(e2,e1)) != e0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_123) ).

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

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

cnf(i_0_135,plain,
    ( op(e1,e0) != e3
    | op(op(e1,e0),op(e1,e0)) != e2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_135) ).

cnf(i_0_67,plain,
    op(e0,e3) != op(e0,e2),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_67) ).

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

cnf(i_0_103,plain,
    ( op(e3,op(e3,e3)) = op(e3,e3)
    | epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_103) ).

cnf(i_0_24,plain,
    ( op(e3,e0) = e0
    | op(e3,e1) = e0
    | op(e3,e2) = e0
    | op(e3,e3) = e0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_24) ).

cnf(i_0_32,plain,
    ( op(e2,e0) = e0
    | op(e2,e1) = e0
    | op(e2,e2) = e0
    | op(e2,e3) = e0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_32) ).

cnf(i_0_95,plain,
    op(e2,e0) != op(e0,e0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_95) ).

cnf(i_0_23,plain,
    ( op(e0,e3) = e0
    | op(e1,e3) = e0
    | op(e2,e3) = e0
    | op(e3,e3) = e0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_23) ).

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

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

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

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

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

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

cnf(i_0_56,plain,
    op(e2,e3) != op(e2,e1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_56) ).

cnf(i_0_129,plain,
    ( op(e2,e0) != e3
    | op(op(e2,e0),op(e2,e0)) != e1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_129) ).

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

cnf(i_0_11,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_11) ).

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

cnf(i_0_78,plain,
    op(e1,e3) != op(e0,e3),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_78) ).

cnf(i_0_106,plain,
    ( op(e3,op(e0,e3)) = op(e0,e3)
    | epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_106) ).

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

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

cnf(i_0_36,plain,
    ( op(e1,e0) = e2
    | op(e1,e1) = e2
    | op(e1,e2) = e2
    | op(e1,e3) = e2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_36) ).

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

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

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

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

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

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

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

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

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

cnf(i_0_53,plain,
    op(e3,e2) != op(e3,e0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_53) ).

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

cnf(i_0_54,plain,
    op(e3,e1) != op(e3,e0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_54) ).

cnf(i_0_146,plain,
    ( op(e1,e2) != e0
    | op(op(e1,e2),op(e1,e2)) != e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_146) ).

cnf(i_0_105,plain,
    ( op(e3,op(e1,e3)) = op(e1,e3)
    | epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_105) ).

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

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

cnf(i_0_75,plain,
    op(e2,e3) != op(e1,e3),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_75) ).

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

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

cnf(i_0_130,plain,
    ( op(e3,e0) != e2
    | op(op(e3,e0),op(e3,e0)) != e1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_130) ).

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

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

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

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

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

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

cnf(i_0_147,plain,
    ( op(e0,op(e3,e0)) = op(e3,e0)
    | op(e1,op(e3,e1)) = op(e3,e1)
    | op(e2,op(e3,e2)) = op(e3,e2)
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_147) ).

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

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

cnf(i_0_175,plain,
    ( op(e0,op(e2,e0)) = op(e2,e0)
    | op(e1,op(e0,e1)) = op(e0,e1)
    | op(e2,op(e3,e2)) = op(e3,e2)
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_ckevevy/lgb.p',i_0_175) ).

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

cnf(c_0_281,plain,
    op(op(e3,e0),e3) = e0,
    i_0_110 ).

cnf(c_0_282,plain,
    ( op(e0,e0) = e1
    | op(e1,e0) = e1
    | op(e2,e0) = e1
    | op(e3,e0) = e1 ),
    i_0_45 ).

cnf(c_0_283,plain,
    op(op(e2,e0),e2) = e0,
    i_0_114 ).

cnf(c_0_284,plain,
    ( op(e2,e0) = e1
    | op(e1,e0) = e1
    | op(e0,e0) = e1
    | op(e1,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_281,c_0_282]) ).

cnf(c_0_285,plain,
    op(op(e1,e3),e1) = e3,
    i_0_115 ).

cnf(c_0_286,plain,
    ( op(e1,e3) = e0
    | op(e0,e0) = e1
    | op(e1,e0) = e1
    | op(e1,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_283,c_0_284]) ).

cnf(c_0_287,plain,
    op(op(e3,e1),e3) = e1,
    i_0_109 ).

cnf(c_0_288,plain,
    ( op(e0,e1) = e2
    | op(e1,e1) = e2
    | op(e2,e1) = e2
    | op(e3,e1) = e2 ),
    i_0_35 ).

cnf(c_0_289,plain,
    op(op(e1,e2),e1) = e2,
    i_0_116 ).

cnf(c_0_290,plain,
    ( op(e1,e2) = e0
    | op(e1,e0) = e1
    | op(e0,e0) = e1
    | op(e0,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_285,c_0_286]) ).

cnf(c_0_291,plain,
    ( op(e2,e3) != e1
    | op(op(e2,e3),op(e2,e3)) != e0 ),
    i_0_128 ).

cnf(c_0_292,plain,
    ( op(e2,e1) = e2
    | op(e1,e1) = e2
    | op(e0,e1) = e2
    | op(e2,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_287,c_0_288]) ).

cnf(c_0_293,plain,
    op(op(e1,e0),e1) = e0,
    i_0_118 ).

cnf(c_0_294,plain,
    ( op(e0,e1) = e3
    | op(e0,e0) = e1
    | op(e1,e0) = e1
    | op(e0,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_289,c_0_290]) ).

cnf(c_0_295,plain,
    op(op(e0,e3),e0) = e3,
    i_0_119 ).

cnf(c_0_296,plain,
    ( op(e0,e0) = e2
    | op(e0,e1) = e2
    | op(e0,e2) = e2
    | op(e0,e3) = e2 ),
    i_0_44 ).

cnf(c_0_297,plain,
    ( op(e0,e0) = e2
    | op(e1,e0) = e2
    | op(e2,e0) = e2
    | op(e3,e0) = e2 ),
    i_0_43 ).

cnf(c_0_298,plain,
    ( op(e1,e0) = e0
    | op(e1,e1) = e0
    | op(e1,e2) = e0
    | op(e1,e3) = e0 ),
    i_0_40 ).

cnf(c_0_299,plain,
    ( op(e0,e1) = e2
    | op(e1,e1) = e2
    | op(e2,e1) = e2
    | op(e1,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_291,c_0_292]) ).

cnf(c_0_300,plain,
    ( op(e0,e1) = e2
    | op(e0,e0) = e1
    | op(e0,e1) = e3
    | op(e1,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_293,c_0_294]) ).

cnf(c_0_301,plain,
    e2 != e0,
    i_0_101 ).

cnf(c_0_302,plain,
    ( op(e0,e2) = e2
    | op(e0,e1) = e2
    | op(e0,e0) = e2
    | op(e2,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_295,c_0_296]) ).

cnf(c_0_303,plain,
    op(op(e0,e0),e0) = e0,
    i_0_122 ).

cnf(c_0_304,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3 ),
    i_0_16 ).

cnf(c_0_305,plain,
    ( op(e2,e3) != e0
    | op(op(e2,e3),op(e2,e3)) != e1 ),
    i_0_134 ).

cnf(c_0_306,plain,
    ( op(e2,e0) = e2
    | op(e1,e0) = e2
    | op(e0,e0) = e2
    | op(e2,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_281,c_0_297]) ).

cnf(c_0_307,plain,
    ( op(e1,e2) = e0
    | op(e1,e1) = e0
    | op(e1,e0) = e0
    | op(e0,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_285,c_0_298]) ).

cnf(c_0_308,plain,
    ( op(e0,e3) != e2
    | op(op(e0,e3),op(e0,e3)) != e1 ),
    i_0_133 ).

cnf(c_0_309,plain,
    op(op(e2,e1),e2) = e1,
    i_0_113 ).

cnf(c_0_310,plain,
    ( op(e0,e1) = e3
    | op(e0,e0) = e1
    | op(e2,e1) = e2
    | op(e0,e1) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_300]),c_0_301]) ).

cnf(c_0_311,plain,
    ( op(e3,e2) != e0
    | op(op(e3,e2),op(e3,e2)) != e1 ),
    i_0_132 ).

cnf(c_0_312,plain,
    ( op(e0,e0) = e2
    | op(e0,e1) = e2
    | op(e0,e2) = e2
    | op(e3,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_283,c_0_302]) ).

cnf(c_0_313,plain,
    ( op(e0,e0) = e2
    | op(e0,e0) = e1
    | op(e0,e0) = e0
    | op(e3,e0) = e0 ),
    inference(spm,[status(thm)],[c_0_303,c_0_304]) ).

cnf(c_0_314,plain,
    ( op(e0,e0) = e2
    | op(e1,e0) = e2
    | op(e2,e0) = e2
    | op(e0,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_305,c_0_306]) ).

cnf(c_0_315,plain,
    op(op(e1,e1),e1) = e1,
    i_0_117 ).

cnf(c_0_316,plain,
    ( op(e0,e1) = e3
    | op(e1,e0) = e0
    | op(e1,e1) = e0
    | op(e0,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_289,c_0_307]) ).

cnf(c_0_317,plain,
    ( op(e0,e2) = e2
    | op(e0,e1) = e2
    | op(e0,e0) = e2
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_308,c_0_296]) ).

cnf(c_0_318,plain,
    ( op(e0,e1) = e2
    | op(e0,e0) = e1
    | op(e0,e1) = e3
    | op(e2,e2) = e1 ),
    inference(spm,[status(thm)],[c_0_309,c_0_310]) ).

cnf(c_0_319,plain,
    ( op(e0,e2) = e2
    | op(e0,e1) = e2
    | op(e0,e0) = e2
    | op(e0,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_311,c_0_312]) ).

cnf(c_0_320,plain,
    ( op(e0,e0) = e0
    | op(e2,e0) = e2
    | op(e1,e0) = e2
    | op(e0,e0) = e2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_313]),c_0_301]),c_0_314]) ).

cnf(c_0_321,plain,
    ( op(e0,e1) = e2
    | op(e1,e0) = e0
    | op(e0,e1) = e3
    | op(e0,e1) = e1 ),
    inference(spm,[status(thm)],[c_0_315,c_0_316]) ).

cnf(c_0_322,plain,
    e1 != e0,
    i_0_102 ).

cnf(c_0_323,plain,
    op(op(e0,e2),e0) = e2,
    i_0_120 ).

cnf(c_0_324,plain,
    ( op(e0,e1) = e3
    | op(e0,e0) = e2
    | op(e0,e1) = e2
    | op(e0,e2) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_318]),c_0_319]) ).

cnf(c_0_325,plain,
    op(op(e2,e2),e2) = e2,
    i_0_112 ).

cnf(c_0_326,plain,
    ( op(e0,e0) = e2
    | op(e1,e0) = e2
    | op(e0,e0) = e0
    | op(e2,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_283,c_0_320]) ).

cnf(c_0_327,plain,
    op(op(e0,e1),e0) = e1,
    i_0_121 ).

cnf(c_0_328,plain,
    ( op(e0,e0) = e1
    | op(e0,e1) = e1
    | op(e0,e1) = e3
    | op(e0,e1) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_294]),c_0_322]) ).

cnf(c_0_329,plain,
    ( op(e0,e1) = e2
    | op(e0,e0) = e2
    | op(e0,e1) = e3
    | op(e2,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_323,c_0_324]) ).

cnf(c_0_330,plain,
    ( op(e0,e0) = e0
    | op(e0,e1) = e0
    | op(e0,e2) = e0
    | op(e0,e3) = e0 ),
    i_0_48 ).

cnf(c_0_331,plain,
    ( op(e0,e0) = e0
    | op(e1,e0) = e2
    | op(e0,e0) = e2
    | op(e0,e2) = e2 ),
    inference(spm,[status(thm)],[c_0_325,c_0_326]) ).

cnf(c_0_332,plain,
    ( op(e0,e1) = e2
    | op(e0,e1) = e1
    | op(e0,e0) = e1
    | op(e3,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_327,c_0_328]) ).

cnf(c_0_333,plain,
    ( op(e0,e1) = e3
    | op(e0,e0) = e2
    | op(e0,e1) = e2
    | op(e2,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_283,c_0_329]) ).

cnf(c_0_334,plain,
    op(e1,e1) != op(e0,e1),
    i_0_90 ).

cnf(c_0_335,plain,
    ( op(e0,e2) = e0
    | op(e0,e1) = e0
    | op(e0,e0) = e0
    | op(e0,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_295,c_0_330]) ).

cnf(c_0_336,plain,
    ( op(e0,e2) = e2
    | op(e0,e0) = e2
    | op(e0,e0) = e0
    | op(e2,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_293,c_0_331]) ).

cnf(c_0_337,plain,
    ( op(e0,e1) = e1
    | op(e0,e1) = e2
    | op(e0,e0) = e0
    | op(e0,e0) = e1
    | op(e0,e0) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_332]),c_0_322]) ).

cnf(c_0_338,plain,
    ( op(e0,e0) = e2
    | op(e0,e1) = e3
    | op(e0,e0) = e1
    | op(e0,e1) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_333]),c_0_322]) ).

cnf(c_0_339,plain,
    e3 != e1,
    i_0_98 ).

cnf(c_0_340,plain,
    e3 != e2,
    i_0_97 ).

cnf(c_0_341,plain,
    ( op(e0,e1) = e2
    | op(e1,e0) = e0
    | op(e0,e1) = e3
    | op(e0,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_334,c_0_316]) ).

cnf(c_0_342,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e0
    | op(e0,e1) = e0
    | op(e0,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_323,c_0_335]) ).

cnf(c_0_343,plain,
    e3 != e0,
    i_0_100 ).

cnf(c_0_344,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e2
    | op(e0,e2) = e2
    | op(e0,e2) = e1 ),
    inference(spm,[status(thm)],[c_0_309,c_0_336]) ).

cnf(c_0_345,plain,
    ( op(e0,e1) = e2
    | op(e0,e0) = e2
    | op(e0,e0) = e1
    | op(e0,e0) = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_338]),c_0_339]),c_0_340]) ).

cnf(c_0_346,plain,
    ( op(e0,e0) = e2
    | op(e0,e0) = e0
    | op(e0,e0) = e3
    | op(e1,e0) = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_342]),c_0_301]),c_0_343]) ).

cnf(c_0_347,plain,
    ( op(e0,e0) = e1
    | op(e0,e1) = e1
    | op(e0,e2) = e1
    | op(e0,e3) = e1 ),
    i_0_46 ).

cnf(c_0_348,plain,
    ( op(e0,e2) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e0
    | op(e2,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_323,c_0_344]) ).

cnf(c_0_349,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e2,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_327,c_0_345]) ).

cnf(c_0_350,plain,
    e2 != e1,
    i_0_99 ).

cnf(c_0_351,plain,
    ( op(e2,e1) != e0
    | op(op(e2,e1),op(e2,e1)) != e3 ),
    i_0_144 ).

cnf(c_0_352,plain,
    ( op(e0,e0) = e3
    | op(e0,e2) = e2
    | op(e0,e0) = e2
    | op(e0,e0) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_346]),c_0_301]) ).

cnf(c_0_353,plain,
    ( op(e0,e0) = e3
    | op(e1,e0) = e3
    | op(e2,e0) = e3
    | op(e3,e0) = e3 ),
    i_0_41 ).

cnf(c_0_354,plain,
    ( op(e0,e2) = e1
    | op(e0,e1) = e1
    | op(e0,e0) = e1
    | op(e1,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_295,c_0_347]) ).

cnf(c_0_355,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e0
    | op(e0,e0) = e2
    | op(e0,e2) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_349]),c_0_350]) ).

cnf(c_0_356,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e2
    | op(e0,e2) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_336]),c_0_352]) ).

cnf(c_0_357,plain,
    op(op(e3,e3),e3) = e3,
    i_0_107 ).

cnf(c_0_358,plain,
    ( op(e2,e0) = e3
    | op(e1,e0) = e3
    | op(e0,e0) = e3
    | op(e3,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_281,c_0_353]) ).

cnf(c_0_359,plain,
    ( op(e3,e1) != e0
    | op(op(e3,e1),op(e3,e1)) != e2 ),
    i_0_138 ).

cnf(c_0_360,plain,
    ( op(e0,e0) = e1
    | op(e0,e1) = e1
    | op(e0,e2) = e1
    | op(e3,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_293,c_0_354]) ).

cnf(c_0_361,plain,
    ( op(e0,e0) = e2
    | op(e0,e0) = e0
    | op(e0,e0) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_356]),c_0_350]) ).

cnf(c_0_362,plain,
    ( op(e0,e0) = e3
    | op(e1,e0) = e3
    | op(e2,e0) = e3
    | op(e0,e3) = e3 ),
    inference(spm,[status(thm)],[c_0_357,c_0_358]) ).

cnf(c_0_363,plain,
    ( op(e0,e1) = e3
    | op(e1,e1) = e3
    | op(e2,e1) = e3
    | op(e3,e1) = e3 ),
    i_0_33 ).

cnf(c_0_364,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_281,c_0_313]) ).

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

cnf(c_0_366,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e0
    | op(e2,e0) = e0 ),
    inference(spm,[status(thm)],[c_0_303,c_0_361]) ).

cnf(c_0_367,plain,
    op(op(e3,e2),e3) = e2,
    i_0_108 ).

cnf(c_0_368,plain,
    ( op(e0,e3) = e3
    | op(e1,e0) = e3
    | op(e0,e0) = e3
    | op(e3,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_283,c_0_362]) ).

cnf(c_0_369,plain,
    ( op(e2,e1) = e3
    | op(e1,e1) = e3
    | op(e0,e1) = e3
    | op(e3,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_287,c_0_363]) ).

cnf(c_0_370,plain,
    ( op(e0,e0) = e0
    | op(e0,e2) = e1
    | op(e0,e1) = e1
    | op(e0,e0) = e1 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_364]),c_0_322]),c_0_365]) ).

cnf(c_0_371,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e1
    | op(e0,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_283,c_0_366]) ).

cnf(c_0_372,plain,
    ( op(e0,e0) = e3
    | op(e1,e0) = e3
    | op(e0,e3) = e3
    | op(e0,e3) = e2 ),
    inference(spm,[status(thm)],[c_0_367,c_0_368]) ).

cnf(c_0_373,plain,
    ( op(e0,e1) = e3
    | op(e1,e1) = e3
    | op(e2,e1) = e3
    | op(e1,e3) = e3 ),
    inference(spm,[status(thm)],[c_0_357,c_0_369]) ).

cnf(c_0_374,plain,
    ( op(e0,e0) = e1
    | op(e0,e1) = e1
    | op(e0,e0) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_371]),c_0_322]) ).

cnf(c_0_375,plain,
    ( op(e0,e3) = e2
    | op(e0,e3) = e3
    | op(e0,e0) = e3
    | op(e3,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_293,c_0_372]) ).

cnf(c_0_376,plain,
    ( op(e3,e2) != e1
    | op(op(e3,e2),op(e3,e2)) != e0 ),
    i_0_126 ).

cnf(c_0_377,plain,
    ( op(e1,e3) = e3
    | op(e1,e1) = e3
    | op(e0,e1) = e3
    | op(e3,e2) = e1 ),
    inference(spm,[status(thm)],[c_0_309,c_0_373]) ).

cnf(c_0_378,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e1
    | op(e1,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_327,c_0_374]) ).

cnf(c_0_379,plain,
    ( op(e0,e0) = e3
    | op(e0,e3) = e3
    | op(e0,e3) = e2
    | op(e0,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_359,c_0_375]) ).

cnf(c_0_380,plain,
    ( op(e0,e1) = e3
    | op(e1,e1) = e3
    | op(e1,e3) = e3
    | op(e1,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_376,c_0_377]) ).

cnf(c_0_381,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e0
    | op(e1,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_293,c_0_378]) ).

cnf(c_0_382,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e0
    | op(e0,e3) = e2
    | op(e0,e3) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_361]),c_0_340]) ).

cnf(c_0_383,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e1
    | op(e1,e3) = e3
    | op(e0,e1) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_381]),c_0_343]) ).

cnf(c_0_384,plain,
    ( op(e0,e3) = e2
    | op(e0,e0) = e0
    | op(e0,e0) = e1
    | op(e3,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_295,c_0_382]) ).

cnf(c_0_385,plain,
    ( op(e0,e1) = e3
    | op(e0,e0) = e1
    | op(e0,e0) = e0
    | op(e3,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_285,c_0_383]) ).

cnf(c_0_386,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e0
    | op(e0,e3) = e2
    | op(e3,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_281,c_0_384]) ).

cnf(c_0_387,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e1
    | op(e0,e1) = e3
    | op(e3,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_287,c_0_385]) ).

cnf(c_0_388,plain,
    ( op(e0,e1) = e3
    | op(e0,e3) = e2
    | op(e0,e0) = e0
    | op(e0,e0) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_387]),c_0_322]) ).

cnf(c_0_389,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e0
    | op(e0,e1) = e3
    | op(e2,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_295,c_0_388]) ).

cnf(c_0_390,plain,
    ( op(e0,e1) = e3
    | op(e0,e0) = e0
    | op(e0,e0) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_389]),c_0_343]) ).

cnf(c_0_391,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_390]),c_0_339]) ).

cnf(c_0_392,plain,
    ( op(e0,e0) = e0
    | op(e2,e0) = e2
    | op(e1,e0) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_391]),c_0_350]) ).

cnf(c_0_393,plain,
    ( op(e1,e0) = e1
    | op(e1,e1) = e1
    | op(e1,e2) = e1
    | op(e1,e3) = e1 ),
    i_0_38 ).

cnf(c_0_394,plain,
    ( op(e1,e0) = e2
    | op(e0,e0) = e0
    | op(e2,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_283,c_0_392]) ).

cnf(c_0_395,plain,
    ( op(e0,e3) = e2
    | op(e1,e3) = e2
    | op(e2,e3) = e2
    | op(e3,e3) = e2 ),
    i_0_19 ).

cnf(c_0_396,plain,
    ( op(e0,e0) = e3
    | op(e1,e0) = e3
    | op(e0,e3) = e3
    | op(e0,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_311,c_0_368]) ).

cnf(c_0_397,plain,
    ( op(e1,e2) = e1
    | op(e1,e1) = e1
    | op(e1,e0) = e1
    | op(e1,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_285,c_0_393]) ).

cnf(c_0_398,plain,
    ( op(e0,e0) = e0
    | op(e1,e0) = e0 ),
    inference(spm,[status(thm)],[c_0_303,c_0_391]) ).

cnf(c_0_399,plain,
    ( op(e0,e0) = e0
    | op(e1,e0) = e2
    | op(e0,e2) = e2 ),
    inference(spm,[status(thm)],[c_0_325,c_0_394]) ).

cnf(c_0_400,plain,
    op(e2,e3) != op(e0,e3),
    i_0_77 ).

cnf(c_0_401,plain,
    ( op(e2,e3) = e2
    | op(e1,e3) = e2
    | op(e0,e3) = e2
    | op(e2,e3) = e3 ),
    inference(spm,[status(thm)],[c_0_357,c_0_395]) ).

cnf(c_0_402,plain,
    ( op(e0,e0) = e0
    | op(e0,e3) = e3
    | op(e1,e0) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_391]),c_0_339]) ).

cnf(c_0_403,plain,
    ( op(e1,e1) = e3
    | op(e1,e0) = e1
    | op(e1,e1) = e1
    | op(e1,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_289,c_0_397]) ).

cnf(c_0_404,plain,
    ( op(e2,e0) != e1
    | op(op(e2,e0),op(e2,e0)) != e3 ),
    i_0_142 ).

cnf(c_0_405,plain,
    ( op(e0,e2) = e2
    | op(e0,e0) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_399]),c_0_301]) ).

cnf(c_0_406,plain,
    ( op(e0,e3) = e2
    | op(e1,e3) = e2
    | op(e2,e3) = e2
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_400,c_0_401]) ).

cnf(c_0_407,plain,
    ( op(e0,e3) = e3
    | op(e0,e0) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_402]),c_0_343]) ).

cnf(c_0_408,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e1
    | op(e1,e0) = e1
    | op(e3,e1) = e1 ),
    inference(spm,[status(thm)],[c_0_315,c_0_403]) ).

cnf(c_0_409,plain,
    ( op(e1,e3) = e0
    | op(e0,e0) = e1
    | op(e1,e0) = e1
    | op(e1,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_404,c_0_284]) ).

cnf(c_0_410,plain,
    ( op(e0,e0) = e0
    | op(e2,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_323,c_0_405]) ).

cnf(c_0_411,plain,
    op(op(e2,e3),e2) = e3,
    i_0_111 ).

cnf(c_0_412,plain,
    ( op(e0,e0) = e0
    | op(e2,e3) = e2
    | op(e1,e3) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_407]),c_0_340]) ).

cnf(c_0_413,plain,
    ( op(e1,e0) = e1
    | op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e1,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_287,c_0_408]) ).

cnf(c_0_414,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e1
    | op(e1,e0) = e1
    | op(e0,e0) = e1
    | op(e1,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_409,c_0_403]) ).

cnf(c_0_415,plain,
    ( op(e3,e0) != e1
    | op(op(e3,e0),op(e3,e0)) != e2 ),
    i_0_136 ).

cnf(c_0_416,plain,
    ( op(e0,e0) = e3
    | op(e0,e1) = e3
    | op(e0,e2) = e3
    | op(e0,e3) = e3 ),
    i_0_42 ).

cnf(c_0_417,plain,
    ( op(e0,e1) = e3
    | op(e1,e1) = e3
    | op(e1,e3) = e3
    | op(e1,e3) = e2 ),
    inference(spm,[status(thm)],[c_0_367,c_0_377]) ).

cnf(c_0_418,plain,
    ( op(e0,e0) = e0
    | op(e2,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_283,c_0_410]) ).

cnf(c_0_419,plain,
    ( op(e1,e3) = e2
    | op(e0,e0) = e0
    | op(e2,e2) = e3 ),
    inference(spm,[status(thm)],[c_0_411,c_0_412]) ).

cnf(c_0_420,plain,
    ( op(e0,e0) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e1
    | op(e1,e0) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_414]),c_0_322]) ).

cnf(c_0_421,plain,
    ( op(e2,e0) = e1
    | op(e1,e0) = e1
    | op(e0,e0) = e1
    | op(e1,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_415,c_0_282]) ).

cnf(c_0_422,plain,
    ( op(e0,e2) = e3
    | op(e0,e1) = e3
    | op(e0,e0) = e3
    | op(e3,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_295,c_0_416]) ).

cnf(c_0_423,plain,
    ( op(e1,e3) = e2
    | op(e1,e1) = e3
    | op(e0,e1) = e3
    | op(e3,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_285,c_0_417]) ).

cnf(c_0_424,plain,
    ( op(e1,e3) != e2
    | op(op(e1,e3),op(e1,e3)) != e0 ),
    i_0_127 ).

cnf(c_0_425,plain,
    ( op(e1,e3) = e2
    | op(e0,e0) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_419]),c_0_343]) ).

cnf(c_0_426,plain,
    ( op(e1,e0) = e1
    | op(e1,e1) = e1
    | op(e0,e0) = e1
    | op(e2,e1) = e1 ),
    inference(spm,[status(thm)],[c_0_315,c_0_420]) ).

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

cnf(c_0_428,plain,
    ( op(e0,e0) = e3
    | op(e0,e1) = e3
    | op(e0,e2) = e3
    | op(e3,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_281,c_0_422]) ).

cnf(c_0_429,plain,
    ( op(e0,e1) = e3
    | op(e1,e1) = e3
    | op(e1,e3) = e2
    | op(e3,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_287,c_0_423]) ).

cnf(c_0_430,plain,
    ( op(e2,e1) != e3
    | op(op(e2,e1),op(e2,e1)) != e0 ),
    i_0_123 ).

cnf(c_0_431,plain,
    op(e0,e0) = e0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_425]),c_0_418]) ).

cnf(c_0_432,plain,
    ( op(e0,e0) = e1
    | op(e1,e1) = e1
    | op(e1,e0) = e1
    | op(e1,e2) = e1 ),
    inference(spm,[status(thm)],[c_0_309,c_0_426]) ).

cnf(c_0_433,plain,
    ( op(e1,e0) = e1
    | op(e0,e0) = e1
    | op(e1,e1) = e1
    | op(e1,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_283,c_0_427]) ).

cnf(c_0_434,plain,
    ( op(e1,e3) = e2
    | op(e1,e1) = e3
    | op(e0,e2) = e3
    | op(e0,e1) = e3
    | op(e0,e0) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_428,c_0_429]),c_0_322]) ).

cnf(c_0_435,plain,
    ( op(e1,e3) = e3
    | op(e1,e1) = e3
    | op(e0,e1) = e3
    | op(e3,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_430,c_0_373]) ).

cnf(c_0_436,plain,
    ( op(e3,e3) = e0
    | op(e0,e2) = e3
    | op(e0,e1) = e3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_428,c_0_431]),c_0_343]) ).

cnf(c_0_437,plain,
    ( op(e1,e0) = e0
    | op(e1,e0) = e1
    | op(e1,e0) = e2
    | op(e1,e0) = e3 ),
    i_0_12 ).

cnf(c_0_438,plain,
    ( op(e1,e0) = e1
    | op(e1,e1) = e1
    | op(e0,e0) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_433]),c_0_322]) ).

cnf(c_0_439,plain,
    ( op(e0,e1) = e3
    | op(e0,e2) = e3
    | op(e1,e1) = e3
    | op(e1,e3) = e2 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_434,c_0_431]),c_0_343]) ).

cnf(c_0_440,plain,
    ( op(e0,e2) = e3
    | op(e0,e1) = e3
    | op(e1,e1) = e3
    | op(e1,e3) = e3 ),
    inference(spm,[status(thm)],[c_0_435,c_0_436]) ).

cnf(c_0_441,plain,
    ( op(e1,e0) = e2
    | op(e1,e0) = e1
    | op(e1,e0) = e0
    | op(e3,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_293,c_0_437]) ).

cnf(c_0_442,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3 ),
    i_0_6 ).

cnf(c_0_443,plain,
    ( op(e1,e0) != e3
    | op(op(e1,e0),op(e1,e0)) != e2 ),
    i_0_135 ).

cnf(c_0_444,plain,
    ( op(e1,e1) = e1
    | op(e1,e0) = e1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_438,c_0_431]),c_0_322]) ).

cnf(c_0_445,plain,
    ( op(e1,e1) = e3
    | op(e0,e2) = e3
    | op(e0,e1) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_440]),c_0_340]) ).

cnf(c_0_446,plain,
    ( op(e1,e0) = e0
    | op(e1,e0) = e1
    | op(e1,e0) = e2
    | op(e0,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_287,c_0_441]) ).

cnf(c_0_447,plain,
    ( op(e2,e2) = e2
    | op(e2,e2) = e1
    | op(e2,e2) = e0
    | op(e3,e2) = e2 ),
    inference(spm,[status(thm)],[c_0_325,c_0_442]) ).

cnf(c_0_448,plain,
    ( op(e0,e3) = e2
    | op(e0,e3) = e3
    | op(e0,e0) = e3
    | op(e3,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_443,c_0_372]) ).

cnf(c_0_449,plain,
    ( op(e0,e1) = e3
    | op(e0,e2) = e3
    | op(e1,e0) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_444,c_0_445]),c_0_339]) ).

cnf(c_0_450,plain,
    op(e0,e3) != op(e0,e2),
    i_0_67 ).

cnf(c_0_451,plain,
    ( op(e0,e3) = e2
    | op(e0,e3) = e3
    | op(e0,e0) = e3
    | op(e0,e3) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_446,c_0_372]),c_0_343]),c_0_339]),c_0_340]) ).

cnf(c_0_452,plain,
    op(e0,e3) != op(e0,e1),
    i_0_68 ).

cnf(c_0_453,plain,
    ( op(e3,op(e3,e3)) = op(e3,e3)
    | epred1_0 ),
    i_0_103 ).

cnf(c_0_454,plain,
    ( op(e3,e0) = e0
    | op(e3,e1) = e0
    | op(e3,e2) = e0
    | op(e3,e3) = e0 ),
    i_0_24 ).

cnf(c_0_455,plain,
    ( op(e2,e0) = e0
    | op(e2,e1) = e0
    | op(e2,e2) = e0
    | op(e2,e3) = e0 ),
    i_0_32 ).

cnf(c_0_456,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e2,e3) = e2 ),
    inference(spm,[status(thm)],[c_0_367,c_0_447]) ).

cnf(c_0_457,plain,
    op(e2,e0) != op(e0,e0),
    i_0_95 ).

cnf(c_0_458,plain,
    ( op(e0,e3) = e3
    | op(e0,e3) = e2
    | op(e3,e3) != e2 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_448,c_0_431]),c_0_343]) ).

cnf(c_0_459,plain,
    ( op(e0,e2) = e3
    | op(e0,e1) = e3
    | op(e1,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_293,c_0_449]) ).

cnf(c_0_460,plain,
    ( op(e0,e3) = e1
    | op(e0,e0) = e3
    | op(e0,e3) = e2
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_450,c_0_451]) ).

cnf(c_0_461,plain,
    ( op(e0,e3) = e1
    | op(e0,e0) = e3
    | op(e0,e3) = e2
    | op(e0,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_452,c_0_451]) ).

cnf(c_0_462,plain,
    ( op(e3,e2) = e0
    | op(e3,e1) = e0
    | op(e3,e0) = e0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_453,c_0_454]) ).

cnf(c_0_463,plain,
    ( op(e0,e3) = e0
    | op(e1,e3) = e0
    | op(e2,e3) = e0
    | op(e3,e3) = e0 ),
    i_0_23 ).

cnf(c_0_464,plain,
    op(e3,e1) != op(e2,e1),
    i_0_85 ).

cnf(c_0_465,plain,
    ( op(e2,e2) = e2
    | op(e2,e2) = e1
    | op(e2,e2) = e0
    | op(e2,e1) = e0
    | op(e2,e0) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_456]),c_0_301]) ).

cnf(c_0_466,plain,
    op(e2,e0) != e0,
    inference(rw,[status(thm)],[c_0_457,c_0_431]) ).

cnf(c_0_467,plain,
    ( op(e2,e3) = e2
    | op(e1,e3) = e2
    | op(e0,e3) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_395]),c_0_406]) ).

cnf(c_0_468,plain,
    ( op(e0,e1) = e3
    | op(e0,e2) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_459]),c_0_343]) ).

cnf(c_0_469,plain,
    ( op(e0,e3) = e2
    | op(e0,e3) = e1
    | op(e0,e2) != e3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_460,c_0_431]),c_0_343]) ).

cnf(c_0_470,plain,
    ( op(e0,e3) = e2
    | op(e0,e3) = e1
    | op(e0,e1) != e3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_461,c_0_431]),c_0_343]) ).

cnf(c_0_471,plain,
    ( op(e3,e0) = e0
    | op(e3,e1) = e0
    | op(e0,e3) = e2
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_367,c_0_462]) ).

cnf(c_0_472,plain,
    ( op(e2,e3) = e0
    | op(e1,e3) = e0
    | op(e0,e3) = e0
    | op(e0,e3) = e3 ),
    inference(spm,[status(thm)],[c_0_357,c_0_463]) ).

cnf(c_0_473,plain,
    op(e0,e3) != op(e0,e0),
    i_0_70 ).

cnf(c_0_474,plain,
    ( op(e0,e0) = e3
    | op(e0,e3) = e3
    | op(e0,e3) = e2
    | op(e2,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_464,c_0_375]) ).

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

cnf(c_0_476,plain,
    ( op(e0,e3) = e2
    | op(e1,e3) = e2
    | op(e2,e2) = e3 ),
    inference(spm,[status(thm)],[c_0_411,c_0_467]) ).

cnf(c_0_477,plain,
    ( op(e0,e1) = e3
    | op(e3,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_323,c_0_468]) ).

cnf(c_0_478,plain,
    ( op(e0,e1) = e0
    | op(e1,e1) = e0
    | op(e2,e1) = e0
    | op(e3,e1) = e0 ),
    i_0_39 ).

cnf(c_0_479,plain,
    op(e0,e1) != op(e0,e0),
    i_0_72 ).

cnf(c_0_480,plain,
    ( op(e0,e3) = e1
    | op(e0,e3) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_468]),c_0_470]) ).

cnf(c_0_481,plain,
    ( op(e0,e3) = e2
    | op(e3,e0) = e0
    | op(e0,e3) = e1
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_287,c_0_471]) ).

cnf(c_0_482,plain,
    ( op(e0,e1) = e1
    | op(e1,e1) = e1
    | op(e2,e1) = e1
    | op(e3,e1) = e1 ),
    i_0_37 ).

cnf(c_0_483,plain,
    ( op(e2,e0) = e3
    | op(e2,e1) = e3
    | op(e2,e2) = e3
    | op(e2,e3) = e3 ),
    i_0_26 ).

cnf(c_0_484,plain,
    ( op(e0,e3) = e3
    | op(e0,e3) = e0
    | op(e1,e3) = e0
    | op(e0,e2) = e3 ),
    inference(spm,[status(thm)],[c_0_411,c_0_472]) ).

cnf(c_0_485,plain,
    op(e0,e3) != e0,
    inference(rw,[status(thm)],[c_0_473,c_0_431]) ).

cnf(c_0_486,plain,
    ( op(e0,e3) = e2
    | op(e0,e3) = e3
    | op(e2,e1) != e0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_474,c_0_431]),c_0_343]) ).

cnf(c_0_487,plain,
    ( op(e1,e3) = e2
    | op(e0,e3) = e2
    | op(e2,e1) = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_475,c_0_476]),c_0_343]),c_0_339]),c_0_340]) ).

cnf(c_0_488,plain,
    op(e2,e3) != op(e2,e1),
    i_0_56 ).

cnf(c_0_489,plain,
    ( op(e0,e1) = e3
    | op(e2,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_281,c_0_477]) ).

cnf(c_0_490,plain,
    ( op(e2,e1) = e0
    | op(e1,e1) = e0
    | op(e0,e1) = e0
    | op(e0,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_287,c_0_478]) ).

cnf(c_0_491,plain,
    op(e0,e1) != e0,
    inference(rw,[status(thm)],[c_0_479,c_0_431]) ).

cnf(c_0_492,plain,
    ( op(e2,e0) != e3
    | op(op(e2,e0),op(e2,e0)) != e1 ),
    i_0_129 ).

cnf(c_0_493,plain,
    ( op(e0,e3) = e1
    | op(e2,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_295,c_0_480]) ).

cnf(c_0_494,plain,
    ( op(e1,e0) = e3
    | op(e1,e1) = e3
    | op(e1,e2) = e3
    | op(e1,e3) = e3 ),
    i_0_34 ).

cnf(c_0_495,plain,
    ( op(e0,e3) = e1
    | op(e0,e3) = e2
    | op(e0,e3) = e0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_281,c_0_481]) ).

cnf(c_0_496,plain,
    ( op(e0,e0) = e2
    | op(e1,e0) = e2
    | op(e2,e0) = e2
    | op(e0,e2) = e3 ),
    inference(spm,[status(thm)],[c_0_411,c_0_306]) ).

cnf(c_0_497,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3 ),
    i_0_11 ).

cnf(c_0_498,plain,
    ( op(e2,e1) = e1
    | op(e1,e1) = e1
    | op(e0,e1) = e1
    | op(e1,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_287,c_0_482]) ).

cnf(c_0_499,plain,
    ( op(e1,e0) = e0
    | op(e0,e1) = e3
    | op(e2,e1) = e2
    | op(e0,e1) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_316]),c_0_301]) ).

cnf(c_0_500,plain,
    ( op(e2,e2) = e3
    | op(e2,e1) = e3
    | op(e2,e0) = e3
    | op(e3,e2) = e3 ),
    inference(spm,[status(thm)],[c_0_411,c_0_483]) ).

cnf(c_0_501,plain,
    ( op(e0,e2) = e3
    | op(e1,e3) = e0
    | op(e0,e3) = e3 ),
    inference(sr,[status(thm)],[c_0_484,c_0_485]) ).

cnf(c_0_502,plain,
    ( op(e1,e3) = e2
    | op(e0,e3) = e3
    | op(e0,e3) = e2 ),
    inference(spm,[status(thm)],[c_0_486,c_0_487]) ).

cnf(c_0_503,plain,
    ( op(e0,e1) = e3
    | op(e2,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_488,c_0_489]) ).

cnf(c_0_504,plain,
    ( op(e0,e3) = e1
    | op(e1,e1) = e0
    | op(e2,e1) = e0 ),
    inference(sr,[status(thm)],[c_0_490,c_0_491]) ).

cnf(c_0_505,plain,
    ( op(e0,e3) = e1
    | op(e3,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_492,c_0_493]) ).

cnf(c_0_506,plain,
    ( op(e0,e3) = e1
    | op(e1,e3) = e1
    | op(e2,e3) = e1
    | op(e3,e3) = e1 ),
    i_0_21 ).

cnf(c_0_507,plain,
    ( op(e0,e3) = e3
    | op(e1,e0) = e3
    | op(e0,e0) = e3
    | op(e3,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_492,c_0_362]) ).

cnf(c_0_508,plain,
    ( op(e1,e2) = e3
    | op(e1,e1) = e3
    | op(e1,e0) = e3
    | op(e3,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_285,c_0_494]) ).

cnf(c_0_509,plain,
    op(e1,e3) != op(e0,e3),
    i_0_78 ).

cnf(c_0_510,plain,
    ( op(e3,op(e0,e3)) = op(e0,e3)
    | epred1_0 ),
    i_0_106 ).

cnf(c_0_511,plain,
    ( op(e0,e3) = e0
    | op(e0,e3) = e1
    | op(e2,e0) = e3
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_295,c_0_495]) ).

cnf(c_0_512,plain,
    ( op(e0,e2) = e3
    | op(e1,e0) = e2
    | op(e0,e0) = e2
    | op(e2,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_283,c_0_496]) ).

cnf(c_0_513,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e1
    | op(e1,e1) = e0
    | op(e3,e1) = e1 ),
    inference(spm,[status(thm)],[c_0_315,c_0_497]) ).

cnf(c_0_514,plain,
    ( op(e1,e3) = e1
    | op(e0,e1) = e1
    | op(e1,e1) = e1
    | op(e1,e2) = e1 ),
    inference(spm,[status(thm)],[c_0_309,c_0_498]) ).

cnf(c_0_515,plain,
    ( op(e0,e1) = e2
    | op(e0,e1) = e3
    | op(e1,e0) = e0
    | op(e2,e2) = e1 ),
    inference(spm,[status(thm)],[c_0_309,c_0_499]) ).

cnf(c_0_516,plain,
    ( op(e2,e0) = e3
    | op(e2,e1) = e3
    | op(e2,e2) = e3
    | op(e3,e3) = e2 ),
    inference(spm,[status(thm)],[c_0_367,c_0_500]) ).

cnf(c_0_517,plain,
    ( op(e0,e3) = e2
    | op(e0,e3) = e3
    | op(e0,e2) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_502]),c_0_301]) ).

cnf(c_0_518,plain,
    ( op(e1,e1) = e0
    | op(e0,e3) = e1
    | op(e0,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_503,c_0_504]) ).

cnf(c_0_519,plain,
    ( op(e2,e3) = e1
    | op(e1,e3) = e1
    | op(e0,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_505,c_0_506]) ).

cnf(c_0_520,plain,
    ( op(e1,e0) = e3
    | op(e0,e3) = e3
    | op(e3,e3) != e1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_507,c_0_431]),c_0_343]) ).

cnf(c_0_521,plain,
    ( op(e1,e0) = e3
    | op(e1,e1) = e3
    | op(e1,e2) = e3
    | op(e3,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_287,c_0_508]) ).

cnf(c_0_522,plain,
    ( op(e1,e2) = e3
    | op(e1,e1) = e3
    | op(e1,e0) = e3
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_509,c_0_494]) ).

cnf(c_0_523,plain,
    ( op(e0,e3) = e0
    | op(e0,e3) = e1
    | op(e3,e2) = e2
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_510,c_0_495]) ).

cnf(c_0_524,plain,
    ( op(e0,e3) = e1
    | op(e0,e3) = e0
    | op(e3,e2) = e0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_283,c_0_511]) ).

cnf(c_0_525,plain,
    ( op(e0,e0) = e2
    | op(e1,e0) = e2
    | op(e0,e2) = e3
    | op(e0,e2) = e2 ),
    inference(spm,[status(thm)],[c_0_325,c_0_512]) ).

cnf(c_0_526,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e1,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_287,c_0_513]) ).

cnf(c_0_527,plain,
    op(e1,e0) != op(e0,e0),
    i_0_96 ).

cnf(c_0_528,plain,
    ( op(e1,e2) = e1
    | op(e1,e1) = e1
    | op(e0,e1) = e1
    | op(e1,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_285,c_0_514]) ).

cnf(c_0_529,plain,
    ( op(e0,e0) = e2
    | op(e1,e0) = e0
    | op(e0,e1) = e3
    | op(e0,e1) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_333]),c_0_322]) ).

cnf(c_0_530,plain,
    ( op(e0,e1) = e2
    | op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e3,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_327,c_0_338]) ).

cnf(c_0_531,plain,
    ( op(e2,e2) = e3
    | op(e2,e1) = e3
    | op(e0,e0) = e3
    | op(e1,e0) = e3
    | op(e2,e0) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_516]),c_0_301]) ).

cnf(c_0_532,plain,
    ( op(e0,e2) = e3
    | op(e0,e3) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_480,c_0_517]),c_0_339]),c_0_340]) ).

cnf(c_0_533,plain,
    ( op(e0,e3) = e1
    | op(e1,e3) = e3
    | op(e0,e1) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_518]),c_0_343]) ).

cnf(c_0_534,plain,
    ( op(e0,e3) = e1
    | op(e1,e3) = e1
    | op(e0,e1) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_519]),c_0_322]) ).

cnf(c_0_535,plain,
    ( op(e1,e2) = e3
    | op(e1,e1) = e3
    | op(e1,e0) = e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_520,c_0_521]),c_0_522]) ).

cnf(c_0_536,plain,
    ( op(e0,e3) = e1
    | op(e0,e3) = e0
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_524]),c_0_301]) ).

cnf(c_0_537,plain,
    ( op(e0,e2) = e2
    | op(e0,e2) = e3
    | op(e0,e0) = e2
    | op(e2,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_293,c_0_525]) ).

cnf(c_0_538,plain,
    op(e3,e0) != op(e0,e0),
    i_0_94 ).

cnf(c_0_539,plain,
    ( op(e1,e0) = e2
    | op(e1,e1) = e2
    | op(e1,e2) = e2
    | op(e1,e3) = e2 ),
    i_0_36 ).

cnf(c_0_540,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e1
    | op(e1,e2) = e0
    | op(e1,e1) = e0
    | op(e1,e0) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_526]),c_0_322]) ).

cnf(c_0_541,plain,
    op(e1,e0) != e0,
    inference(rw,[status(thm)],[c_0_527,c_0_431]) ).

cnf(c_0_542,plain,
    ( op(e1,e1) = e3
    | op(e0,e1) = e1
    | op(e1,e1) = e1
    | op(e1,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_289,c_0_528]) ).

cnf(c_0_543,plain,
    ( op(e0,e1) = e2
    | op(e0,e1) = e3
    | op(e0,e0) = e2
    | op(e0,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_527,c_0_529]) ).

cnf(c_0_544,plain,
    ( op(e0,e0) = e2
    | op(e0,e0) = e1
    | op(e0,e1) = e2
    | op(e1,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_415,c_0_530]) ).

cnf(c_0_545,plain,
    op(e2,e2) != op(e0,e2),
    i_0_83 ).

cnf(c_0_546,plain,
    ( op(e2,e0) = e3
    | op(e1,e0) = e3
    | op(e2,e1) = e3
    | op(e2,e2) = e3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_531,c_0_431]),c_0_343]) ).

cnf(c_0_547,plain,
    ( op(e0,e2) = e3
    | op(e2,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_295,c_0_532]) ).

cnf(c_0_548,plain,
    ( op(e0,e1) = e3
    | op(e0,e3) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_533,c_0_534]),c_0_339]) ).

cnf(c_0_549,plain,
    ( op(e1,e0) = e3
    | op(e1,e1) = e3
    | op(e3,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_289,c_0_535]) ).

cnf(c_0_550,plain,
    ( op(e0,e3) = e0
    | op(e1,e0) = e3
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_295,c_0_536]) ).

cnf(c_0_551,plain,
    ( op(e0,e0) = e2
    | op(e0,e2) = e3
    | op(e0,e2) = e2
    | op(e0,e2) = e1 ),
    inference(spm,[status(thm)],[c_0_309,c_0_537]) ).

cnf(c_0_552,plain,
    ( op(e3,e0) = e0
    | op(e3,e0) = e1
    | op(e3,e0) = e2
    | op(e3,e0) = e3 ),
    i_0_4 ).

cnf(c_0_553,plain,
    op(e3,e0) != e0,
    inference(rw,[status(thm)],[c_0_538,c_0_431]) ).

cnf(c_0_554,plain,
    ( op(e1,e1) = e1
    | op(e1,e1) = e0
    | op(e1,e2) = e2
    | op(e1,e1) = e2
    | op(e1,e0) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_539,c_0_526]),c_0_350]) ).

cnf(c_0_555,plain,
    ( op(e1,e1) = e0
    | op(e1,e2) = e0
    | op(e1,e1) = e1
    | op(e1,e1) = e2 ),
    inference(sr,[status(thm)],[c_0_540,c_0_541]) ).

cnf(c_0_556,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e1
    | op(e0,e1) = e1
    | op(e0,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_334,c_0_542]) ).

cnf(c_0_557,plain,
    ( op(e0,e1) = e3
    | op(e0,e1) = e2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_543,c_0_431]),c_0_431])]),c_0_301]) ).

cnf(c_0_558,plain,
    ( op(e0,e1) = e2
    | op(e1,e1) != e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_544,c_0_431]),c_0_431]),c_0_301]),c_0_322]) ).

cnf(c_0_559,plain,
    op(e2,e1) != op(e0,e1),
    i_0_89 ).

cnf(c_0_560,plain,
    ( op(e2,e1) = e3
    | op(e1,e0) = e3
    | op(e2,e0) = e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_546]),c_0_547]) ).

cnf(c_0_561,plain,
    ( op(e0,e1) = e3
    | op(e1,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_295,c_0_548]) ).

cnf(c_0_562,plain,
    ( op(e2,e3) = e0
    | op(e1,e0) = e2
    | op(e2,e0) = e2 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_306,c_0_431]),c_0_301]) ).

cnf(c_0_563,plain,
    ( op(e1,e1) = e3
    | op(e1,e0) = e3
    | op(e2,e3) = e1 ),
    inference(spm,[status(thm)],[c_0_287,c_0_549]) ).

cnf(c_0_564,plain,
    ( op(e0,e3) = e0
    | op(e3,e1) = e1
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_510,c_0_536]) ).

cnf(c_0_565,plain,
    ( op(e0,e3) = e0
    | op(e3,e1) = e0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_293,c_0_550]) ).

cnf(c_0_566,plain,
    ( op(e3,e0) = e1
    | op(e3,e1) = e1
    | op(e3,e2) = e1
    | op(e3,e3) = e1 ),
    i_0_22 ).

cnf(c_0_567,plain,
    ( op(e0,e2) = e1
    | op(e0,e2) = e2
    | op(e0,e0) = e2
    | op(e3,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_323,c_0_551]) ).

cnf(c_0_568,plain,
    op(e3,e0) != op(e2,e0),
    i_0_91 ).

cnf(c_0_569,plain,
    ( op(e3,e0) = e3
    | op(e3,e0) = e2
    | op(e3,e0) = e1 ),
    inference(sr,[status(thm)],[c_0_552,c_0_553]) ).

cnf(c_0_570,plain,
    op(e3,e0) != op(e1,e0),
    i_0_92 ).

cnf(c_0_571,plain,
    ( op(e2,e0) = e0
    | op(e2,e0) = e1
    | op(e2,e0) = e2
    | op(e2,e0) = e3 ),
    i_0_8 ).

cnf(c_0_572,plain,
    ( op(e1,e0) = e2
    | op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e1,e1) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_554,c_0_555]),c_0_301]) ).

cnf(c_0_573,plain,
    ( op(e0,e1) = e2
    | op(e1,e1) = e1 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_556,c_0_557]),c_0_339]),c_0_558]) ).

cnf(c_0_574,plain,
    ( op(e2,e0) = e3
    | op(e1,e0) = e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_559,c_0_560]),c_0_561]) ).

cnf(c_0_575,plain,
    ( op(e1,e0) = e3
    | op(e1,e1) = e3
    | op(e2,e0) = e2
    | op(e1,e0) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_562,c_0_563]),c_0_322]) ).

cnf(c_0_576,plain,
    ( op(e0,e1) = e0
    | op(e0,e1) = e1
    | op(e0,e1) = e2
    | op(e0,e1) = e3 ),
    i_0_15 ).

cnf(c_0_577,plain,
    ( op(e0,e3) = e0
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_564,c_0_565]),c_0_322]) ).

cnf(c_0_578,plain,
    ( op(e3,e2) = e1
    | op(e3,e0) = e1
    | op(e3,e1) = e1
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_453,c_0_566]) ).

cnf(c_0_579,plain,
    ( op(e3,e0) = e1
    | op(e0,e1) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_530,c_0_431]),c_0_431]),c_0_322]),c_0_301]) ).

cnf(c_0_580,plain,
    ( op(e3,e0) = e2
    | op(e0,e2) = e2
    | op(e0,e2) = e1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_567,c_0_431]),c_0_301]) ).

cnf(c_0_581,plain,
    ( op(e3,e0) = e1
    | op(e3,e0) = e2
    | op(e2,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_568,c_0_569]) ).

cnf(c_0_582,plain,
    ( op(e3,e0) = e1
    | op(e3,e0) = e2
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_570,c_0_569]) ).

cnf(c_0_583,plain,
    op(e2,e0) != op(e1,e0),
    i_0_93 ).

cnf(c_0_584,plain,
    ( op(e2,e0) = e3
    | op(e2,e0) = e2
    | op(e2,e0) = e1 ),
    inference(sr,[status(thm)],[c_0_571,c_0_466]) ).

cnf(c_0_585,plain,
    ( op(e1,e1) = e1
    | op(e1,e1) = e0
    | op(e1,e0) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_572]),c_0_573]) ).

cnf(c_0_586,plain,
    ( op(e1,e0) = e2
    | op(e1,e1) = e3
    | op(e1,e0) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_574,c_0_575]),c_0_340]) ).

cnf(c_0_587,plain,
    ( op(e0,e1) = e2
    | op(e0,e1) = e1
    | op(e0,e1) = e0
    | op(e0,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_479,c_0_576]) ).

cnf(c_0_588,plain,
    ( op(e0,e0) = e3
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_295,c_0_577]) ).

cnf(c_0_589,plain,
    ( epred1_0
    | op(e0,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_452,c_0_577]) ).

cnf(c_0_590,plain,
    ( op(e3,e1) = e1
    | op(e3,e0) = e1
    | op(e1,e3) = e2
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_367,c_0_578]) ).

cnf(c_0_591,plain,
    ( op(e0,e2) = e1
    | op(e0,e2) = e2
    | op(e0,e1) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_579,c_0_580]),c_0_350]) ).

cnf(c_0_592,plain,
    op(e3,e2) != op(e3,e0),
    i_0_53 ).

cnf(c_0_593,plain,
    ( op(e0,e2) = e1
    | op(e1,e2) = e1
    | op(e2,e2) = e1
    | op(e3,e2) = e1 ),
    i_0_29 ).

cnf(c_0_594,plain,
    ( op(e3,e0) = e2
    | op(e3,e0) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_581,c_0_574]),c_0_582]) ).

cnf(c_0_595,plain,
    ( op(e2,e0) = e1
    | op(e2,e0) = e2
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_583,c_0_584]) ).

cnf(c_0_596,plain,
    ( op(e1,e0) = e3
    | op(e1,e0) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_585,c_0_586]),c_0_339]),c_0_343]) ).

cnf(c_0_597,plain,
    ( op(e0,e1) = e1
    | op(e0,e1) = e2
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_587,c_0_588]),c_0_589]) ).

cnf(c_0_598,plain,
    ( op(e3,e0) = e0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_510,c_0_577]) ).

cnf(c_0_599,plain,
    ( op(e1,e3) = e2
    | op(e3,e0) = e1
    | op(e1,e3) = e1
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_287,c_0_590]) ).

cnf(c_0_600,plain,
    ( op(e0,e1) = e2
    | op(e0,e2) = e1
    | op(e2,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_323,c_0_591]) ).

cnf(c_0_601,plain,
    ( op(e2,e2) = e1
    | op(e1,e2) = e1
    | op(e0,e2) = e1
    | op(e3,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_592,c_0_593]) ).

cnf(c_0_602,plain,
    ( op(e3,e0) = e1
    | op(e2,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_568,c_0_594]) ).

cnf(c_0_603,plain,
    ( op(e1,e0) = e2
    | op(e2,e0) = e2
    | op(e2,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_595,c_0_596]) ).

cnf(c_0_604,plain,
    ( op(e3,e0) = e1
    | op(e1,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_570,c_0_594]) ).

cnf(c_0_605,plain,
    ( op(e0,e1) = e1
    | op(e2,e0) = e1
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_327,c_0_597]) ).

cnf(c_0_606,plain,
    ( op(e1,e3) = e1
    | op(e1,e3) = e2
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_598,c_0_599]),c_0_322]) ).

cnf(c_0_607,plain,
    ( op(e2,e0) = e2
    | op(e2,e0) = e1
    | op(e2,e0) = e0
    | op(e3,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_283,c_0_571]) ).

cnf(c_0_608,plain,
    ( op(e0,e2) = e1
    | op(e0,e1) = e2
    | op(e2,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_283,c_0_600]) ).

cnf(c_0_609,plain,
    ( op(e0,e1) = e2
    | op(e0,e2) = e1
    | op(e1,e2) = e1
    | op(e2,e2) = e1 ),
    inference(spm,[status(thm)],[c_0_601,c_0_579]) ).

cnf(c_0_610,plain,
    ( op(e0,e1) = e2
    | op(e1,e1) = e2
    | op(e2,e1) = e2
    | op(e1,e2) = e3 ),
    inference(spm,[status(thm)],[c_0_411,c_0_292]) ).

cnf(c_0_611,plain,
    op(e3,e1) != op(e3,e0),
    i_0_54 ).

cnf(c_0_612,plain,
    ( op(e3,e0) = e1
    | op(e2,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_281,c_0_594]) ).

cnf(c_0_613,plain,
    ( op(e2,e0) = e1
    | op(e3,e0) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_602,c_0_603]),c_0_604]) ).

cnf(c_0_614,plain,
    ( op(e1,e2) != e0
    | op(op(e1,e2),op(e1,e2)) != e3 ),
    i_0_146 ).

cnf(c_0_615,plain,
    ( op(e0,e1) = e1
    | op(e1,e2) = e0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_283,c_0_605]) ).

cnf(c_0_616,plain,
    ( op(e3,op(e1,e3)) = op(e1,e3)
    | epred1_0 ),
    i_0_105 ).

cnf(c_0_617,plain,
    ( op(e1,e3) = e1
    | op(e2,e1) = e3
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_285,c_0_606]) ).

cnf(c_0_618,plain,
    ( op(e2,e0) = e0
    | op(e2,e0) = e1
    | op(e2,e0) = e2
    | op(e0,e3) = e2 ),
    inference(spm,[status(thm)],[c_0_367,c_0_607]) ).

cnf(c_0_619,plain,
    ( op(e3,e0) = e3
    | op(e2,e0) = e3
    | op(e1,e0) = e3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_353,c_0_431]),c_0_343]) ).

cnf(c_0_620,plain,
    ( op(e1,e2) = e1
    | op(e0,e1) = e2
    | op(e0,e2) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_608,c_0_609]),c_0_322]) ).

cnf(c_0_621,plain,
    ( op(e1,e2) = e3
    | op(e1,e1) = e2
    | op(e0,e1) = e2
    | op(e2,e2) = e1 ),
    inference(spm,[status(thm)],[c_0_309,c_0_610]) ).

cnf(c_0_622,plain,
    op(e3,e3) != op(e2,e3),
    i_0_73 ).

cnf(c_0_623,plain,
    ( op(e3,e3) = e0
    | op(e3,e2) = e0
    | op(e3,e1) = e0 ),
    inference(sr,[status(thm)],[c_0_454,c_0_553]) ).

cnf(c_0_624,plain,
    op(e3,e3) != op(e1,e3),
    i_0_74 ).

cnf(c_0_625,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e3,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_611,c_0_513]) ).

cnf(c_0_626,plain,
    ( op(e2,e3) = e0
    | op(e1,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_415,c_0_612]) ).

cnf(c_0_627,plain,
    ( op(e2,e0) = e1
    | op(e1,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_281,c_0_613]) ).

cnf(c_0_628,plain,
    ( op(e0,e1) = e1
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_614,c_0_615]),c_0_588]) ).

cnf(c_0_629,plain,
    ( op(e1,e3) = e1
    | op(e3,e2) = e2
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_616,c_0_606]) ).

cnf(c_0_630,plain,
    ( op(e1,e3) = e1
    | op(e3,e2) = e1
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_309,c_0_617]) ).

cnf(c_0_631,plain,
    ( op(e0,e3) = e2
    | op(e2,e0) = e2
    | op(e2,e0) = e1 ),
    inference(sr,[status(thm)],[c_0_618,c_0_466]) ).

cnf(c_0_632,plain,
    ( op(e1,e0) = e3
    | op(e2,e0) = e3
    | op(e0,e1) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_579,c_0_619]),c_0_339]) ).

cnf(c_0_633,plain,
    ( op(e0,e2) = e1
    | op(e0,e1) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_620]),c_0_558]) ).

cnf(c_0_634,plain,
    ( op(e0,e1) = e2
    | op(e1,e1) = e2
    | op(e1,e2) = e3
    | op(e0,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_545,c_0_621]) ).

cnf(c_0_635,plain,
    ( op(e3,e1) = e0
    | op(e3,e2) = e0
    | op(e2,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_622,c_0_623]) ).

cnf(c_0_636,plain,
    ( op(e2,e3) = e0
    | op(e1,e3) = e0 ),
    inference(spm,[status(thm)],[c_0_281,c_0_612]) ).

cnf(c_0_637,plain,
    ( op(e3,e1) = e0
    | op(e3,e2) = e0
    | op(e1,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_624,c_0_623]) ).

cnf(c_0_638,plain,
    op(e2,e3) != op(e1,e3),
    i_0_75 ).

cnf(c_0_639,plain,
    ( op(e2,e3) = e0
    | op(e1,e1) = e1
    | op(e1,e1) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_625,c_0_612]),c_0_626]) ).

cnf(c_0_640,plain,
    op(e1,e3) != op(e1,e1),
    i_0_62 ).

cnf(c_0_641,plain,
    ( op(e1,e3) = e0
    | op(e1,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_283,c_0_627]) ).

cnf(c_0_642,plain,
    op(e2,e3) != op(e2,e2),
    i_0_55 ).

cnf(c_0_643,plain,
    ( op(e3,e0) != e2
    | op(op(e3,e0),op(e3,e0)) != e1 ),
    i_0_130 ).

cnf(c_0_644,plain,
    op(e3,e2) != op(e0,e2),
    i_0_82 ).

cnf(c_0_645,plain,
    ( op(e1,e0) = e1
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_327,c_0_628]) ).

cnf(c_0_646,plain,
    ( op(e1,e3) = e1
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_629,c_0_630]),c_0_350]) ).

cnf(c_0_647,plain,
    ( op(e0,e1) = e2
    | op(e1,e0) = e3
    | op(e0,e3) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_631,c_0_632]),c_0_340]),c_0_339]) ).

cnf(c_0_648,plain,
    ( op(e0,e1) = e2
    | op(e1,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_323,c_0_633]) ).

cnf(c_0_649,plain,
    ( op(e2,e0) = e2
    | op(e2,e1) = e2
    | op(e2,e2) = e2
    | op(e2,e3) = e2 ),
    i_0_28 ).

cnf(c_0_650,plain,
    ( op(e1,e2) = e3
    | op(e0,e1) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_633]),c_0_558]) ).

cnf(c_0_651,plain,
    op(e3,e2) != op(e1,e2),
    i_0_80 ).

cnf(c_0_652,plain,
    ( op(e3,e2) = e0
    | op(e3,e1) = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_635,c_0_636]),c_0_637]) ).

cnf(c_0_653,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e1
    | op(e1,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_638,c_0_639]) ).

cnf(c_0_654,plain,
    ( op(e1,e2) = e0
    | op(e1,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_640,c_0_641]) ).

cnf(c_0_655,plain,
    ( op(e2,e1) = e0
    | op(e2,e1) = e1
    | op(e2,e1) = e2
    | op(e2,e1) = e3 ),
    i_0_7 ).

cnf(c_0_656,plain,
    ( op(e2,e2) = e2
    | op(e2,e2) = e1
    | op(e2,e2) = e0
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_545,c_0_442]) ).

cnf(c_0_657,plain,
    ( op(e0,e1) = e3
    | op(e2,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_642,c_0_489]) ).

cnf(c_0_658,plain,
    ( op(e0,e1) = e3
    | op(e2,e2) != e1 ),
    inference(spm,[status(thm)],[c_0_643,c_0_477]) ).

cnf(c_0_659,plain,
    ( op(e2,e0) = e3
    | op(e2,e1) = e3
    | op(e2,e2) = e3
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_644,c_0_500]) ).

cnf(c_0_660,plain,
    ( op(e1,e1) = e0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_293,c_0_645]) ).

cnf(c_0_661,plain,
    ( op(e1,e1) = e3
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_285,c_0_646]) ).

cnf(c_0_662,plain,
    ( op(e0,e3) = e2
    | op(e0,e1) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_647,c_0_648]),c_0_340]) ).

cnf(c_0_663,plain,
    op(e2,e2) != op(e2,e0),
    i_0_59 ).

cnf(c_0_664,plain,
    ( op(e2,e2) = e2
    | op(e2,e1) = e2
    | op(e2,e0) = e2
    | op(e2,e2) = e3 ),
    inference(spm,[status(thm)],[c_0_411,c_0_649]) ).

cnf(c_0_665,plain,
    ( op(e0,e1) = e2
    | op(e3,e1) = e2 ),
    inference(spm,[status(thm)],[c_0_289,c_0_650]) ).

cnf(c_0_666,plain,
    ( op(e3,e1) = e0
    | op(e1,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_651,c_0_652]) ).

cnf(c_0_667,plain,
    ( op(e1,e2) = e0
    | op(e1,e1) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_653,c_0_641]),c_0_654]) ).

cnf(c_0_668,plain,
    op(e1,e2) != op(e1,e1),
    i_0_63 ).

cnf(c_0_669,plain,
    ( op(e2,e1) = e2
    | op(e2,e1) = e1
    | op(e2,e1) = e0
    | op(e3,e2) = e1 ),
    inference(spm,[status(thm)],[c_0_309,c_0_655]) ).

cnf(c_0_670,plain,
    ( op(e0,e1) = e3
    | op(e2,e2) = e2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_656,c_0_468]),c_0_657]),c_0_658]) ).

cnf(c_0_671,plain,
    ( op(e0,e1) = e3
    | op(e2,e2) = e3
    | op(e2,e1) = e3
    | op(e2,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_659,c_0_468]) ).

cnf(c_0_672,plain,
    ( op(e0,op(e3,e0)) = op(e3,e0)
    | op(e1,op(e3,e1)) = op(e3,e1)
    | op(e2,op(e3,e2)) = op(e3,e2)
    | ~ epred1_0 ),
    i_0_147 ).

cnf(c_0_673,plain,
    epred1_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_660,c_0_661]),c_0_343]) ).

cnf(c_0_674,plain,
    ( op(e0,e1) = e2
    | op(e2,e0) = e3 ),
    inference(spm,[status(thm)],[c_0_295,c_0_662]) ).

cnf(c_0_675,plain,
    ( op(e2,e0) = e2
    | op(e2,e1) = e2
    | op(e2,e2) = e2
    | op(e2,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_663,c_0_664]) ).

cnf(c_0_676,plain,
    ( op(e0,e1) = e2
    | op(e2,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_464,c_0_665]) ).

cnf(c_0_677,plain,
    ( op(e1,e1) = e1
    | op(e3,e1) = e0 ),
    inference(spm,[status(thm)],[c_0_666,c_0_667]) ).

cnf(c_0_678,plain,
    ( op(e1,e1) = e1
    | op(e1,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_668,c_0_667]) ).

cnf(c_0_679,plain,
    ( op(e0,e1) = e3
    | op(e2,e0) != e2 ),
    inference(spm,[status(thm)],[c_0_568,c_0_477]) ).

cnf(c_0_680,plain,
    ( op(e2,e1) = e0
    | op(e2,e1) = e1
    | op(e2,e1) = e2
    | op(e1,e3) = e2 ),
    inference(spm,[status(thm)],[c_0_367,c_0_669]) ).

cnf(c_0_681,plain,
    ( op(e2,e0) = e3
    | op(e2,e1) = e3
    | op(e0,e1) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_670,c_0_671]),c_0_340]) ).

cnf(c_0_682,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e1
    | op(e3,e2) = e2
    | op(e3,e2) = e3 ),
    i_0_2 ).

cnf(c_0_683,plain,
    ( op(e0,op(e3,e0)) = op(e3,e0)
    | op(e1,op(e3,e1)) = op(e3,e1)
    | op(e2,op(e3,e2)) = op(e3,e2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_672,c_0_673])]) ).

cnf(c_0_684,plain,
    ( op(e0,e1) = e2
    | op(e3,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_283,c_0_674]) ).

cnf(c_0_685,plain,
    op(e2,e2) != op(e1,e2),
    i_0_81 ).

cnf(c_0_686,plain,
    ( op(e0,e1) = e2
    | op(e2,e2) = e2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_675,c_0_674]),c_0_340]),c_0_676]) ).

cnf(c_0_687,plain,
    ( op(e1,e1) = e1
    | op(e1,e1) = e2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_677]),c_0_322]),c_0_678]) ).

cnf(c_0_688,plain,
    ( op(e0,e1) = e3
    | op(e2,e0) = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_595,c_0_561]),c_0_679]) ).

cnf(c_0_689,plain,
    ( op(e0,e1) = e3
    | op(e2,e0) = e3
    | op(e1,e3) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_680,c_0_681]),c_0_343]),c_0_339]),c_0_340]) ).

cnf(c_0_690,plain,
    ( op(e3,e2) = e2
    | op(e3,e2) = e1
    | op(e3,e2) = e0
    | op(e3,e3) = e2 ),
    inference(spm,[status(thm)],[c_0_367,c_0_682]) ).

cnf(c_0_691,plain,
    ( op(e1,op(e3,e1)) = op(e3,e1)
    | op(e0,op(e3,e0)) = op(e3,e0)
    | op(e0,e1) = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_683,c_0_684]),c_0_466]) ).

cnf(c_0_692,plain,
    ( op(e0,e1) = e2
    | op(e1,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_685,c_0_686]) ).

cnf(c_0_693,plain,
    op(e1,e1) = e1,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_687]),c_0_573]) ).

cnf(c_0_694,plain,
    ( op(e1,e3) = e2
    | op(e0,e1) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_688,c_0_689]),c_0_339]) ).

cnf(c_0_695,plain,
    ( op(e0,op(e2,e0)) = op(e2,e0)
    | op(e1,op(e0,e1)) = op(e0,e1)
    | op(e2,op(e3,e2)) = op(e3,e2)
    | ~ epred1_0 ),
    i_0_175 ).

cnf(c_0_696,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e1
    | op(e3,e2) = e2
    | op(e2,e3) = e3 ),
    inference(spm,[status(thm)],[c_0_357,c_0_690]) ).

cnf(c_0_697,plain,
    op(e2,e1) != op(e1,e1),
    i_0_87 ).

cnf(c_0_698,plain,
    ( op(e0,op(e3,e0)) = op(e3,e0)
    | op(e0,e1) = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_691,c_0_665]),c_0_692]) ).

cnf(c_0_699,plain,
    op(e0,e1) != e1,
    inference(rw,[status(thm)],[c_0_334,c_0_693]) ).

cnf(c_0_700,plain,
    ( op(e0,e1) = e3
    | op(e2,e1) = e3 ),
    inference(spm,[status(thm)],[c_0_285,c_0_694]) ).

cnf(c_0_701,plain,
    ( op(e0,op(e2,e0)) = op(e2,e0)
    | op(e1,op(e0,e1)) = op(e0,e1)
    | op(e2,op(e3,e2)) = op(e3,e2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_695,c_0_673])]) ).

cnf(c_0_702,plain,
    ( op(e2,e3) = e3
    | op(e3,e2) = e1
    | op(e3,e2) = e0
    | op(e2,e3) = e2 ),
    inference(spm,[status(thm)],[c_0_367,c_0_696]) ).

cnf(c_0_703,plain,
    op(e2,e1) != e1,
    inference(rw,[status(thm)],[c_0_697,c_0_693]) ).

cnf(c_0_704,plain,
    ( op(e0,e1) = e3
    | op(e1,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_283,c_0_688]) ).

cnf(c_0_705,plain,
    op(e0,e1) = e2,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_698,c_0_579]),c_0_699]) ).

cnf(c_0_706,plain,
    ( op(e0,e1) = e3
    | op(e3,e2) = e1 ),
    inference(spm,[status(thm)],[c_0_309,c_0_700]) ).

cnf(c_0_707,plain,
    ( op(e1,op(e0,e1)) = op(e0,e1)
    | op(e0,op(e2,e0)) = op(e2,e0)
    | op(e2,e3) = e2
    | op(e3,e2) = e0
    | op(e2,e3) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_701,c_0_702]),c_0_703]) ).

cnf(c_0_708,plain,
    op(e1,e2) = e0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_704,c_0_705]),c_0_340]) ).

cnf(c_0_709,plain,
    op(e2,e0) = e1,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_688,c_0_705]),c_0_340]) ).

cnf(c_0_710,plain,
    op(e2,e3) = e0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_489,c_0_705]),c_0_340]) ).

cnf(c_0_711,plain,
    op(e3,e2) = e1,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_706,c_0_705]),c_0_340]) ).

cnf(c_0_712,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_707,c_0_705]),c_0_705]),c_0_708]),c_0_709]),c_0_705]),c_0_709]),c_0_710]),c_0_711]),c_0_710])]),c_0_301]),c_0_350]),c_0_322]),c_0_343]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : ALG130+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun  8 02:47:02 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 13.01/3.05  # ENIGMATIC: Solved by autoschedule-lgb:
% 13.01/3.05  # No SInE strategy applied
% 13.01/3.05  # Trying AutoSched0 for 150 seconds
% 13.01/3.05  # AutoSched0-Mode selected heuristic H_____047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S
% 13.01/3.05  # and selection function SelectNewComplexAHP.
% 13.01/3.05  #
% 13.01/3.05  # Preprocessing time       : 0.025 s
% 13.01/3.05  # Presaturation interreduction done
% 13.01/3.05  
% 13.01/3.05  # Proof found!
% 13.01/3.05  # SZS status Theorem
% 13.01/3.05  # SZS output start CNFRefutation
% See solution above
% 13.01/3.05  # Training examples: 0 positive, 0 negative
% 13.01/3.05  
% 13.01/3.05  # -------------------------------------------------
% 13.01/3.05  # User time                : 0.710 s
% 13.01/3.05  # System time              : 0.020 s
% 13.01/3.05  # Total time               : 0.729 s
% 13.01/3.05  # Maximum resident set size: 7128 pages
% 13.01/3.05  
%------------------------------------------------------------------------------