TSTP Solution File: ALG170+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG170+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n027.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 15:32:41 EDT 2022

% Result   : Theorem 4.67s 2.28s
% Output   : CNFRefutation 4.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   36
%            Number of leaves      :  102
% Syntax   : Number of clauses     :  378 ( 199 unt; 150 nHn; 378 RR)
%            Number of literals    :  757 ( 699 equ; 188 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   5 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_76,plain,
    op(op(e4,e4),op(e4,e4)) = e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_76) ).

cnf(i_0_213,plain,
    op(e4,e4) = e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_213) ).

cnf(i_0_214,plain,
    op(e4,op(e4,e4)) = e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_214) ).

cnf(i_0_134,plain,
    op(e1,e1) != op(e1,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_134) ).

cnf(i_0_154,plain,
    op(e1,e4) != op(e4,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_154) ).

cnf(i_0_107,plain,
    op(e4,e0) != op(e4,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_107) ).

cnf(i_0_211,plain,
    op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_211) ).

cnf(i_0_91,plain,
    op(op(e4,e1),op(e1,e4)) = e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_91) ).

cnf(i_0_16,plain,
    ( op(e1,e4) = e0
    | op(e1,e4) = e1
    | op(e1,e4) = e2
    | op(e1,e4) = e3
    | op(e1,e4) = e4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_16) ).

cnf(i_0_5,plain,
    ( op(e4,e0) = e0
    | op(e4,e0) = e1
    | op(e4,e0) = e2
    | op(e4,e0) = e3
    | op(e4,e0) = e4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_5) ).

cnf(i_0_110,plain,
    op(e4,e1) != op(e4,e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_110) ).

cnf(i_0_197,plain,
    op(e0,e0) != op(e4,e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_197) ).

cnf(i_0_79,plain,
    op(op(e1,e4),op(e4,e1)) = e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_79) ).

cnf(i_0_205,plain,
    e3 != e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_205) ).

cnf(i_0_192,plain,
    op(e2,e0) != op(e4,e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_192) ).

cnf(i_0_191,plain,
    op(e3,e0) != op(e4,e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_191) ).

cnf(i_0_212,plain,
    op(op(e4,op(e4,e4)),op(e4,e4)) = e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_212) ).

cnf(i_0_100,plain,
    op(op(e0,e0),op(e0,e0)) = e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_100) ).

cnf(i_0_75,plain,
    ( op(e0,e0) = e0
    | op(e0,e1) = e0
    | op(e0,e2) = e0
    | op(e0,e3) = e0
    | op(e0,e4) = e0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_75) ).

cnf(i_0_208,plain,
    e3 != e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_208) ).

cnf(i_0_209,plain,
    e2 != e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_209) ).

cnf(i_0_168,plain,
    op(e3,e3) != op(e0,e3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_168) ).

cnf(i_0_157,plain,
    op(e0,e4) != op(e4,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_157) ).

cnf(i_0_80,plain,
    op(op(e0,e4),op(e4,e0)) = e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_80) ).

cnf(i_0_73,plain,
    ( op(e0,e0) = e1
    | op(e0,e1) = e1
    | op(e0,e2) = e1
    | op(e0,e3) = e1
    | op(e0,e4) = e1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_73) ).

cnf(i_0_206,plain,
    e2 != e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_206) ).

cnf(i_0_210,plain,
    e1 != e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_210) ).

cnf(i_0_143,plain,
    op(e0,e3) != op(e0,e2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_143) ).

cnf(i_0_204,plain,
    e1 != e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_204) ).

cnf(i_0_135,plain,
    op(e1,e3) != op(e1,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_135) ).

cnf(i_0_17,plain,
    ( op(e1,e3) = e0
    | op(e1,e3) = e1
    | op(e1,e3) = e2
    | op(e1,e3) = e3
    | op(e1,e3) = e4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_17) ).

cnf(i_0_165,plain,
    op(e3,e3) != op(e1,e3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_165) ).

cnf(i_0_170,plain,
    op(e1,e3) != op(e0,e3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_170) ).

cnf(i_0_131,plain,
    op(e1,e3) != op(e1,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_131) ).

cnf(i_0_151,plain,
    op(e3,e4) != op(e4,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_151) ).

cnf(i_0_21,plain,
    ( op(e0,e4) = e0
    | op(e0,e4) = e1
    | op(e0,e4) = e2
    | op(e0,e4) = e3
    | op(e0,e4) = e4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_21) ).

cnf(i_0_144,plain,
    op(e0,e1) != op(e0,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_144) ).

cnf(i_0_147,plain,
    op(e0,e0) != op(e0,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_147) ).

cnf(i_0_6,plain,
    ( op(e3,e4) = e0
    | op(e3,e4) = e1
    | op(e3,e4) = e2
    | op(e3,e4) = e3
    | op(e3,e4) = e4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_6) ).

cnf(i_0_111,plain,
    op(e3,e3) != op(e3,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_111) ).

cnf(i_0_155,plain,
    op(e3,e4) != op(e1,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_155) ).

cnf(i_0_117,plain,
    op(e3,e0) != op(e3,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_117) ).

cnf(i_0_146,plain,
    op(e0,e2) != op(e0,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_146) ).

cnf(i_0_133,plain,
    op(e1,e3) != op(e1,e2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_133) ).

cnf(i_0_109,plain,
    op(e4,e2) != op(e4,e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_109) ).

cnf(i_0_224,negated_conjecture,
    ( epred2_0
    | op(e0,e4) != e0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_224) ).

cnf(i_0_26,plain,
    ( op(e0,e4) = e4
    | op(e1,e4) = e4
    | op(e2,e4) = e4
    | op(e3,e4) = e4
    | op(e4,e4) = e4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_26) ).

cnf(i_0_50,plain,
    ( op(e0,e2) = e2
    | op(e1,e2) = e2
    | op(e2,e2) = e2
    | op(e3,e2) = e2
    | op(e4,e2) = e2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_50) ).

cnf(i_0_112,plain,
    op(e3,e2) != op(e3,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_112) ).

cnf(i_0_29,plain,
    ( op(e4,e0) = e3
    | op(e4,e1) = e3
    | op(e4,e2) = e3
    | op(e4,e3) = e3
    | op(e4,e4) = e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_29) ).

cnf(i_0_27,plain,
    ( op(e4,e0) = e4
    | op(e4,e1) = e4
    | op(e4,e2) = e4
    | op(e4,e3) = e4
    | op(e4,e4) = e4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_27) ).

cnf(i_0_207,plain,
    e0 != e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_207) ).

cnf(i_0_102,plain,
    op(e4,e2) != op(e4,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_102) ).

cnf(i_0_103,plain,
    op(e4,e3) != op(e4,e2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_103) ).

cnf(i_0_202,plain,
    e2 != e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_202) ).

cnf(i_0_3,plain,
    ( op(e4,e2) = e0
    | op(e4,e2) = e1
    | op(e4,e2) = e2
    | op(e4,e2) = e3
    | op(e4,e2) = e4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_3) ).

cnf(i_0_106,plain,
    op(e4,e2) != op(e4,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_106) ).

cnf(i_0_260,plain,
    ( epred1_0
    | op(e2,e2) != e2
    | op(e4,e3) != e4
    | ~ epred2_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_260) ).

cnf(i_0_201,plain,
    e3 != e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_201) ).

cnf(i_0_67,plain,
    ( op(e0,e0) = e4
    | op(e0,e1) = e4
    | op(e0,e2) = e4
    | op(e0,e3) = e4
    | op(e0,e4) = e4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_67) ).

cnf(i_0_96,plain,
    op(op(e4,e0),op(e0,e4)) = e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_96) ).

cnf(i_0_86,plain,
    op(op(e4,e2),op(e2,e4)) = e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_86) ).

cnf(i_0_216,negated_conjecture,
    ( epred4_0
    | op(e4,e3) != e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_216) ).

cnf(i_0_313,plain,
    ( epred3_0
    | op(e2,e2) != e2
    | op(e3,e1) != e1
    | ~ epred4_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_313) ).

cnf(i_0_58,plain,
    ( op(e0,e1) = e3
    | op(e1,e1) = e3
    | op(e2,e1) = e3
    | op(e3,e1) = e3
    | op(e4,e1) = e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_58) ).

cnf(i_0_203,plain,
    e3 != e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_203) ).

cnf(i_0_62,plain,
    ( op(e0,e1) = e1
    | op(e1,e1) = e1
    | op(e2,e1) = e1
    | op(e3,e1) = e1
    | op(e4,e1) = e1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_62) ).

cnf(i_0_140,plain,
    op(e1,e1) != op(e1,e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_140) ).

cnf(i_0_20,plain,
    ( op(e1,e0) = e0
    | op(e1,e0) = e1
    | op(e1,e0) = e2
    | op(e1,e0) = e3
    | op(e1,e0) = e4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_20) ).

cnf(i_0_200,plain,
    op(e1,e0) != op(e0,e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_200) ).

cnf(i_0_194,plain,
    op(e1,e0) != op(e4,e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_194) ).

cnf(i_0_84,plain,
    op(op(e1,e3),op(e3,e1)) = e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_84) ).

cnf(i_0_162,plain,
    op(e2,e3) != op(e4,e3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_162) ).

cnf(i_0_38,plain,
    ( op(e0,e3) = e3
    | op(e1,e3) = e3
    | op(e2,e3) = e3
    | op(e3,e3) = e3
    | op(e4,e3) = e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_38) ).

cnf(i_0_99,plain,
    op(op(e1,e0),op(e0,e1)) = e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_99) ).

cnf(i_0_90,plain,
    op(op(e0,e2),op(e2,e0)) = e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_90) ).

cnf(i_0_125,plain,
    op(e2,e3) != op(e2,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_125) ).

cnf(i_0_241,plain,
    ( op(e1,e0) != e1
    | op(e3,e1) != e3
    | ~ epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_241) ).

cnf(i_0_72,plain,
    ( op(e0,e0) = e1
    | op(e1,e0) = e1
    | op(e2,e0) = e1
    | op(e3,e0) = e1
    | op(e4,e0) = e1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_72) ).

cnf(i_0_186,plain,
    op(e2,e1) != op(e1,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_186) ).

cnf(i_0_182,plain,
    op(e2,e1) != op(e4,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_182) ).

cnf(i_0_36,plain,
    ( op(e0,e3) = e4
    | op(e1,e3) = e4
    | op(e2,e3) = e4
    | op(e3,e3) = e4
    | op(e4,e3) = e4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_36) ).

cnf(i_0_199,plain,
    op(e2,e0) != op(e0,e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_199) ).

cnf(i_0_156,plain,
    op(e2,e4) != op(e1,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_156) ).

cnf(i_0_63,plain,
    ( op(e1,e0) = e1
    | op(e1,e1) = e1
    | op(e1,e2) = e1
    | op(e1,e3) = e1
    | op(e1,e4) = e1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_63) ).

cnf(i_0_14,plain,
    ( op(e2,e1) = e0
    | op(e2,e1) = e1
    | op(e2,e1) = e2
    | op(e2,e1) = e3
    | op(e2,e1) = e4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_14) ).

cnf(i_0_189,plain,
    op(e2,e1) != op(e0,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_189) ).

cnf(i_0_49,plain,
    ( op(e2,e0) = e3
    | op(e2,e1) = e3
    | op(e2,e2) = e3
    | op(e2,e3) = e3
    | op(e2,e4) = e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_49) ).

cnf(i_0_74,plain,
    ( op(e0,e0) = e0
    | op(e1,e0) = e0
    | op(e2,e0) = e0
    | op(e3,e0) = e0
    | op(e4,e0) = e0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_74) ).

cnf(i_0_95,plain,
    op(op(e0,e1),op(e1,e0)) = e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_95) ).

cnf(i_0_93,plain,
    op(op(e2,e1),op(e1,e2)) = e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_93) ).

cnf(i_0_183,plain,
    op(e3,e1) != op(e2,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_183) ).

cnf(i_0_92,plain,
    op(op(e3,e1),op(e1,e3)) = e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_92) ).

cnf(i_0_159,plain,
    op(e2,e4) != op(e0,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_159) ).

cnf(i_0_98,plain,
    op(op(e2,e0),op(e0,e2)) = e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_98) ).

cnf(i_0_149,plain,
    op(e0,e2) != op(e0,e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_149) ).

cnf(i_0_132,plain,
    op(e1,e2) != op(e1,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_132) ).

cnf(i_0_279,plain,
    ( op(e0,e4) != e4
    | op(e1,e0) != e0
    | ~ epred3_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_279) ).

cnf(i_0_48,plain,
    ( op(e0,e2) = e3
    | op(e1,e2) = e3
    | op(e2,e2) = e3
    | op(e3,e2) = e3
    | op(e4,e2) = e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_48) ).

cnf(i_0_52,plain,
    ( op(e0,e2) = e1
    | op(e1,e2) = e1
    | op(e2,e2) = e1
    | op(e3,e2) = e1
    | op(e4,e2) = e1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_52) ).

cnf(i_0_196,plain,
    op(e2,e0) != op(e1,e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_196) ).

cnf(i_0_39,plain,
    ( op(e3,e0) = e3
    | op(e3,e1) = e3
    | op(e3,e2) = e3
    | op(e3,e3) = e3
    | op(e3,e4) = e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qfm_zcl/lgb.p',i_0_39) ).

cnf(c_0_416,plain,
    op(op(e4,e4),op(e4,e4)) = e4,
    i_0_76 ).

cnf(c_0_417,plain,
    op(e4,e4) = e1,
    i_0_213 ).

cnf(c_0_418,plain,
    op(e4,op(e4,e4)) = e0,
    i_0_214 ).

cnf(c_0_419,plain,
    op(e1,e1) != op(e1,e4),
    i_0_134 ).

cnf(c_0_420,plain,
    op(e1,e1) = e4,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_416,c_0_417]),c_0_417]) ).

cnf(c_0_421,plain,
    op(e1,e4) != op(e4,e4),
    i_0_154 ).

cnf(c_0_422,plain,
    op(e4,e0) != op(e4,e4),
    i_0_107 ).

cnf(c_0_423,plain,
    op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) = e3,
    i_0_211 ).

cnf(c_0_424,plain,
    op(e4,e1) = e0,
    inference(rw,[status(thm)],[c_0_418,c_0_417]) ).

cnf(c_0_425,plain,
    op(op(e4,e1),op(e1,e4)) = e1,
    i_0_91 ).

cnf(c_0_426,plain,
    ( op(e1,e4) = e0
    | op(e1,e4) = e1
    | op(e1,e4) = e2
    | op(e1,e4) = e3
    | op(e1,e4) = e4 ),
    i_0_16 ).

cnf(c_0_427,plain,
    op(e1,e4) != e4,
    inference(rw,[status(thm)],[c_0_419,c_0_420]) ).

cnf(c_0_428,plain,
    op(e1,e4) != e1,
    inference(rw,[status(thm)],[c_0_421,c_0_417]) ).

cnf(c_0_429,plain,
    ( op(e4,e0) = e0
    | op(e4,e0) = e1
    | op(e4,e0) = e2
    | op(e4,e0) = e3
    | op(e4,e0) = e4 ),
    i_0_5 ).

cnf(c_0_430,plain,
    op(e4,e0) != e1,
    inference(rw,[status(thm)],[c_0_422,c_0_417]) ).

cnf(c_0_431,plain,
    op(e4,e1) != op(e4,e0),
    i_0_110 ).

cnf(c_0_432,plain,
    op(e0,e0) != op(e4,e0),
    i_0_197 ).

cnf(c_0_433,plain,
    op(e0,e0) = e3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_423,c_0_417]),c_0_424]),c_0_417]),c_0_424]) ).

cnf(c_0_434,plain,
    op(op(e1,e4),op(e4,e1)) = e4,
    i_0_79 ).

cnf(c_0_435,plain,
    op(e0,op(e1,e4)) = e1,
    inference(rw,[status(thm)],[c_0_425,c_0_424]) ).

cnf(c_0_436,plain,
    ( op(e1,e4) = e2
    | op(e1,e4) = e0
    | op(e1,e4) = e3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_426,c_0_427]),c_0_428]) ).

cnf(c_0_437,plain,
    e3 != e1,
    i_0_205 ).

cnf(c_0_438,plain,
    ( op(e4,e0) = e2
    | op(e4,e0) = e0
    | op(e4,e0) = e3
    | op(e4,e0) = e4 ),
    inference(sr,[status(thm)],[c_0_429,c_0_430]) ).

cnf(c_0_439,plain,
    op(e4,e0) != e0,
    inference(rw,[status(thm)],[c_0_431,c_0_424]) ).

cnf(c_0_440,plain,
    op(e4,e0) != e3,
    inference(rw,[status(thm)],[c_0_432,c_0_433]) ).

cnf(c_0_441,plain,
    op(op(e1,e4),e0) = e4,
    inference(rw,[status(thm)],[c_0_434,c_0_424]) ).

cnf(c_0_442,plain,
    ( op(e1,e4) = e3
    | op(e1,e4) = e2 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_436]),c_0_433]),c_0_437]) ).

cnf(c_0_443,plain,
    op(e2,e0) != op(e4,e0),
    i_0_192 ).

cnf(c_0_444,plain,
    ( op(e4,e0) = e4
    | op(e4,e0) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_438,c_0_439]),c_0_440]) ).

cnf(c_0_445,plain,
    ( op(e1,e4) = e3
    | op(e2,e0) = e4 ),
    inference(spm,[status(thm)],[c_0_441,c_0_442]) ).

cnf(c_0_446,plain,
    op(e3,e0) != op(e4,e0),
    i_0_191 ).

cnf(c_0_447,plain,
    op(op(e4,op(e4,e4)),op(e4,e4)) = e2,
    i_0_212 ).

cnf(c_0_448,plain,
    op(op(e0,e0),op(e0,e0)) = e0,
    i_0_100 ).

cnf(c_0_449,plain,
    ( op(e4,e0) = e2
    | op(e2,e0) != e4 ),
    inference(spm,[status(thm)],[c_0_443,c_0_444]) ).

cnf(c_0_450,plain,
    ( op(e2,e0) = e4
    | op(e3,e0) = e4 ),
    inference(spm,[status(thm)],[c_0_441,c_0_445]) ).

cnf(c_0_451,plain,
    ( op(e4,e0) = e2
    | op(e3,e0) != e4 ),
    inference(spm,[status(thm)],[c_0_446,c_0_444]) ).

cnf(c_0_452,plain,
    ( op(e0,e0) = e0
    | op(e0,e1) = e0
    | op(e0,e2) = e0
    | op(e0,e3) = e0
    | op(e0,e4) = e0 ),
    i_0_75 ).

cnf(c_0_453,plain,
    op(e0,e1) = e2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_447,c_0_417]),c_0_424]),c_0_417]) ).

cnf(c_0_454,plain,
    e3 != e0,
    i_0_208 ).

cnf(c_0_455,plain,
    e2 != e0,
    i_0_209 ).

cnf(c_0_456,plain,
    op(e3,e3) != op(e0,e3),
    i_0_168 ).

cnf(c_0_457,plain,
    op(e3,e3) = e0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_448,c_0_433]),c_0_433]) ).

cnf(c_0_458,plain,
    op(e0,e4) != op(e4,e4),
    i_0_157 ).

cnf(c_0_459,plain,
    op(op(e0,e4),op(e4,e0)) = e4,
    i_0_80 ).

cnf(c_0_460,plain,
    op(e4,e0) = e2,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_449,c_0_450]),c_0_451]) ).

cnf(c_0_461,plain,
    ( op(e0,e2) = e0
    | op(e0,e3) = e0
    | op(e0,e4) = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_452,c_0_433]),c_0_453]),c_0_454]),c_0_455]) ).

cnf(c_0_462,plain,
    op(e0,e3) != e0,
    inference(rw,[status(thm)],[c_0_456,c_0_457]) ).

cnf(c_0_463,plain,
    ( op(e0,e0) = e1
    | op(e0,e1) = e1
    | op(e0,e2) = e1
    | op(e0,e3) = e1
    | op(e0,e4) = e1 ),
    i_0_73 ).

cnf(c_0_464,plain,
    op(e0,e4) != e1,
    inference(rw,[status(thm)],[c_0_458,c_0_417]) ).

cnf(c_0_465,plain,
    e2 != e1,
    i_0_206 ).

cnf(c_0_466,plain,
    op(op(e0,e4),e2) = e4,
    inference(rw,[status(thm)],[c_0_459,c_0_460]) ).

cnf(c_0_467,plain,
    ( op(e0,e4) = e0
    | op(e0,e2) = e0 ),
    inference(sr,[status(thm)],[c_0_461,c_0_462]) ).

cnf(c_0_468,plain,
    ( op(e0,e2) = e1
    | op(e0,e3) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_463,c_0_433]),c_0_453]),c_0_464]),c_0_437]),c_0_465]) ).

cnf(c_0_469,plain,
    ( op(e0,e2) = e0
    | op(e0,e2) = e4 ),
    inference(spm,[status(thm)],[c_0_466,c_0_467]) ).

cnf(c_0_470,plain,
    e1 != e0,
    i_0_210 ).

cnf(c_0_471,plain,
    op(e0,e3) != op(e0,e2),
    i_0_143 ).

cnf(c_0_472,plain,
    ( op(e1,e4) = e3
    | op(e0,e2) = e1 ),
    inference(spm,[status(thm)],[c_0_435,c_0_442]) ).

cnf(c_0_473,plain,
    ( op(e0,e2) = e4
    | op(e0,e3) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_468,c_0_469]),c_0_470]) ).

cnf(c_0_474,plain,
    e1 != e4,
    i_0_204 ).

cnf(c_0_475,plain,
    op(e1,e3) != op(e1,e1),
    i_0_135 ).

cnf(c_0_476,plain,
    ( op(e1,e4) = e3
    | op(e0,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_471,c_0_472]) ).

cnf(c_0_477,plain,
    op(e0,e3) = e1,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_468,c_0_473]),c_0_474]) ).

cnf(c_0_478,plain,
    ( op(e1,e3) = e0
    | op(e1,e3) = e1
    | op(e1,e3) = e2
    | op(e1,e3) = e3
    | op(e1,e3) = e4 ),
    i_0_17 ).

cnf(c_0_479,plain,
    op(e1,e3) != e4,
    inference(rw,[status(thm)],[c_0_475,c_0_420]) ).

cnf(c_0_480,plain,
    op(e3,e3) != op(e1,e3),
    i_0_165 ).

cnf(c_0_481,plain,
    op(e1,e3) != op(e0,e3),
    i_0_170 ).

cnf(c_0_482,plain,
    op(e1,e3) != op(e1,e4),
    i_0_131 ).

cnf(c_0_483,plain,
    op(e1,e4) = e3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_476,c_0_477])]) ).

cnf(c_0_484,plain,
    op(e3,e4) != op(e4,e4),
    i_0_151 ).

cnf(c_0_485,plain,
    ( op(e0,e4) = e0
    | op(e0,e4) = e1
    | op(e0,e4) = e2
    | op(e0,e4) = e3
    | op(e0,e4) = e4 ),
    i_0_21 ).

cnf(c_0_486,plain,
    op(e0,e1) != op(e0,e4),
    i_0_144 ).

cnf(c_0_487,plain,
    op(e0,e0) != op(e0,e4),
    i_0_147 ).

cnf(c_0_488,plain,
    ( op(e1,e3) = e1
    | op(e1,e3) = e2
    | op(e1,e3) = e0
    | op(e1,e3) = e3 ),
    inference(sr,[status(thm)],[c_0_478,c_0_479]) ).

cnf(c_0_489,plain,
    op(e1,e3) != e0,
    inference(rw,[status(thm)],[c_0_480,c_0_457]) ).

cnf(c_0_490,plain,
    op(e1,e3) != e1,
    inference(rw,[status(thm)],[c_0_481,c_0_477]) ).

cnf(c_0_491,plain,
    op(e1,e3) != e3,
    inference(rw,[status(thm)],[c_0_482,c_0_483]) ).

cnf(c_0_492,plain,
    ( op(e3,e4) = e0
    | op(e3,e4) = e1
    | op(e3,e4) = e2
    | op(e3,e4) = e3
    | op(e3,e4) = e4 ),
    i_0_6 ).

cnf(c_0_493,plain,
    op(e3,e4) != e1,
    inference(rw,[status(thm)],[c_0_484,c_0_417]) ).

cnf(c_0_494,plain,
    op(e3,e3) != op(e3,e4),
    i_0_111 ).

cnf(c_0_495,plain,
    op(e3,e4) != op(e1,e4),
    i_0_155 ).

cnf(c_0_496,plain,
    op(e3,e0) != op(e3,e4),
    i_0_117 ).

cnf(c_0_497,plain,
    op(e3,e0) = e4,
    inference(rw,[status(thm)],[c_0_441,c_0_483]) ).

cnf(c_0_498,plain,
    ( op(e0,e4) = e2
    | op(e0,e4) = e0
    | op(e0,e4) = e3
    | op(e0,e4) = e4 ),
    inference(sr,[status(thm)],[c_0_485,c_0_464]) ).

cnf(c_0_499,plain,
    op(e0,e4) != e2,
    inference(rw,[status(thm)],[c_0_486,c_0_453]) ).

cnf(c_0_500,plain,
    op(e0,e4) != e3,
    inference(rw,[status(thm)],[c_0_487,c_0_433]) ).

cnf(c_0_501,plain,
    op(e0,e2) != op(e0,e1),
    i_0_146 ).

cnf(c_0_502,plain,
    op(e1,e3) != op(e1,e2),
    i_0_133 ).

cnf(c_0_503,plain,
    op(e1,e3) = e2,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_488,c_0_489]),c_0_490]),c_0_491]) ).

cnf(c_0_504,plain,
    op(e4,e2) != op(e4,e0),
    i_0_109 ).

cnf(c_0_505,plain,
    ( op(e3,e4) = e2
    | op(e3,e4) = e0
    | op(e3,e4) = e3
    | op(e3,e4) = e4 ),
    inference(sr,[status(thm)],[c_0_492,c_0_493]) ).

cnf(c_0_506,plain,
    op(e3,e4) != e0,
    inference(rw,[status(thm)],[c_0_494,c_0_457]) ).

cnf(c_0_507,plain,
    op(e3,e4) != e3,
    inference(rw,[status(thm)],[c_0_495,c_0_483]) ).

cnf(c_0_508,plain,
    op(e3,e4) != e4,
    inference(rw,[status(thm)],[c_0_496,c_0_497]) ).

cnf(c_0_509,negated_conjecture,
    ( epred2_0
    | op(e0,e4) != e0 ),
    i_0_224 ).

cnf(c_0_510,plain,
    ( op(e0,e4) = e4
    | op(e0,e4) = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_498,c_0_499]),c_0_500]) ).

cnf(c_0_511,plain,
    ( op(e0,e4) = e4
    | op(e1,e4) = e4
    | op(e2,e4) = e4
    | op(e3,e4) = e4
    | op(e4,e4) = e4 ),
    i_0_26 ).

cnf(c_0_512,plain,
    ( op(e0,e2) = e2
    | op(e1,e2) = e2
    | op(e2,e2) = e2
    | op(e3,e2) = e2
    | op(e4,e2) = e2 ),
    i_0_50 ).

cnf(c_0_513,plain,
    op(e0,e2) != e2,
    inference(rw,[status(thm)],[c_0_501,c_0_453]) ).

cnf(c_0_514,plain,
    op(e1,e2) != e2,
    inference(rw,[status(thm)],[c_0_502,c_0_503]) ).

cnf(c_0_515,plain,
    op(e4,e2) != e2,
    inference(rw,[status(thm)],[c_0_504,c_0_460]) ).

cnf(c_0_516,plain,
    op(e3,e2) != op(e3,e4),
    i_0_112 ).

cnf(c_0_517,plain,
    op(e3,e4) = e2,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_505,c_0_506]),c_0_507]),c_0_508]) ).

cnf(c_0_518,negated_conjecture,
    ( op(e0,e4) = e4
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_509,c_0_510]) ).

cnf(c_0_519,plain,
    ( op(e4,e0) = e3
    | op(e4,e1) = e3
    | op(e4,e2) = e3
    | op(e4,e3) = e3
    | op(e4,e4) = e3 ),
    i_0_29 ).

cnf(c_0_520,plain,
    ( op(e4,e0) = e4
    | op(e4,e1) = e4
    | op(e4,e2) = e4
    | op(e4,e3) = e4
    | op(e4,e4) = e4 ),
    i_0_27 ).

cnf(c_0_521,plain,
    e0 != e4,
    i_0_207 ).

cnf(c_0_522,plain,
    op(e4,e2) != op(e4,e4),
    i_0_102 ).

cnf(c_0_523,plain,
    ( op(e2,e4) = e4
    | op(e0,e4) = e4
    | op(e3,e4) = e4 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_511,c_0_417]),c_0_474]),c_0_427]) ).

cnf(c_0_524,plain,
    ( op(e3,e2) = e2
    | op(e2,e2) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_512,c_0_513]),c_0_514]),c_0_515]) ).

cnf(c_0_525,plain,
    op(e3,e2) != e2,
    inference(rw,[status(thm)],[c_0_516,c_0_517]) ).

cnf(c_0_526,plain,
    op(e4,e3) != op(e4,e2),
    i_0_103 ).

cnf(c_0_527,plain,
    ( op(e4,e2) = e4
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_466,c_0_518]) ).

cnf(c_0_528,plain,
    ( op(e4,e2) = e3
    | op(e4,e0) = e3
    | op(e4,e3) = e3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_519,c_0_417]),c_0_424]),c_0_437]),c_0_454]) ).

cnf(c_0_529,plain,
    ( op(e4,e2) = e4
    | op(e4,e0) = e4
    | op(e4,e3) = e4 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_520,c_0_417]),c_0_424]),c_0_474]),c_0_521]) ).

cnf(c_0_530,plain,
    e2 != e4,
    i_0_202 ).

cnf(c_0_531,plain,
    ( op(e4,e2) = e0
    | op(e4,e2) = e1
    | op(e4,e2) = e2
    | op(e4,e2) = e3
    | op(e4,e2) = e4 ),
    i_0_3 ).

cnf(c_0_532,plain,
    op(e4,e2) != e1,
    inference(rw,[status(thm)],[c_0_522,c_0_417]) ).

cnf(c_0_533,plain,
    op(e4,e2) != op(e4,e1),
    i_0_106 ).

cnf(c_0_534,plain,
    ( op(e0,e4) = e4
    | op(e2,e4) = e4 ),
    inference(sr,[status(thm)],[c_0_523,c_0_508]) ).

cnf(c_0_535,plain,
    ( epred1_0
    | op(e2,e2) != e2
    | op(e4,e3) != e4
    | ~ epred2_0 ),
    i_0_260 ).

cnf(c_0_536,plain,
    op(e2,e2) = e2,
    inference(sr,[status(thm)],[c_0_524,c_0_525]) ).

cnf(c_0_537,plain,
    ( epred2_0
    | op(e4,e3) != e4 ),
    inference(spm,[status(thm)],[c_0_526,c_0_527]) ).

cnf(c_0_538,plain,
    ( op(e4,e3) = e3
    | op(e4,e2) = e3 ),
    inference(sr,[status(thm)],[c_0_528,c_0_440]) ).

cnf(c_0_539,plain,
    ( op(e4,e3) = e4
    | op(e4,e2) = e4 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_529,c_0_460]),c_0_530]) ).

cnf(c_0_540,plain,
    e3 != e4,
    i_0_201 ).

cnf(c_0_541,plain,
    ( op(e0,e0) = e4
    | op(e0,e1) = e4
    | op(e0,e2) = e4
    | op(e0,e3) = e4
    | op(e0,e4) = e4 ),
    i_0_67 ).

cnf(c_0_542,plain,
    ( op(e4,e2) = e2
    | op(e4,e2) = e0
    | op(e4,e2) = e3
    | op(e4,e2) = e4 ),
    inference(sr,[status(thm)],[c_0_531,c_0_532]) ).

cnf(c_0_543,plain,
    op(e4,e2) != e0,
    inference(rw,[status(thm)],[c_0_533,c_0_424]) ).

cnf(c_0_544,plain,
    ( op(e2,e4) = e4
    | op(e4,e2) = e4 ),
    inference(spm,[status(thm)],[c_0_466,c_0_534]) ).

cnf(c_0_545,plain,
    ( epred1_0
    | op(e4,e3) != e4 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_535,c_0_536])]),c_0_537]) ).

cnf(c_0_546,plain,
    ( op(e4,e3) = e4
    | op(e4,e3) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_538,c_0_539]),c_0_540]) ).

cnf(c_0_547,plain,
    op(op(e4,e0),op(e0,e4)) = e0,
    i_0_96 ).

cnf(c_0_548,plain,
    ( op(e0,e2) = e4
    | op(e0,e3) = e4
    | op(e0,e4) = e4 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_541,c_0_433]),c_0_453]),c_0_540]),c_0_530]) ).

cnf(c_0_549,plain,
    ( op(e4,e2) = e4
    | op(e4,e2) = e3
    | op(e4,e2) = e2 ),
    inference(sr,[status(thm)],[c_0_542,c_0_543]) ).

cnf(c_0_550,plain,
    op(op(e4,e2),op(e2,e4)) = e2,
    i_0_86 ).

cnf(c_0_551,negated_conjecture,
    ( epred4_0
    | op(e4,e3) != e3 ),
    i_0_216 ).

cnf(c_0_552,plain,
    ( op(e2,e4) = e4
    | op(e4,e3) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_538,c_0_544]),c_0_540]) ).

cnf(c_0_553,plain,
    ( epred3_0
    | op(e2,e2) != e2
    | op(e3,e1) != e1
    | ~ epred4_0 ),
    i_0_313 ).

cnf(c_0_554,plain,
    ( op(e4,e3) = e3
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_545,c_0_546]) ).

cnf(c_0_555,plain,
    ( op(e0,e1) = e3
    | op(e1,e1) = e3
    | op(e2,e1) = e3
    | op(e3,e1) = e3
    | op(e4,e1) = e3 ),
    i_0_58 ).

cnf(c_0_556,plain,
    e3 != e2,
    i_0_203 ).

cnf(c_0_557,plain,
    ( op(e0,e1) = e1
    | op(e1,e1) = e1
    | op(e2,e1) = e1
    | op(e3,e1) = e1
    | op(e4,e1) = e1 ),
    i_0_62 ).

cnf(c_0_558,plain,
    op(e1,e1) != op(e1,e0),
    i_0_140 ).

cnf(c_0_559,plain,
    op(e2,op(e0,e4)) = e0,
    inference(rw,[status(thm)],[c_0_547,c_0_460]) ).

cnf(c_0_560,plain,
    ( op(e0,e4) = e4
    | op(e0,e2) = e4 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_548,c_0_477]),c_0_474]) ).

cnf(c_0_561,plain,
    ( op(e4,e2) = e3
    | op(e4,e2) = e4 ),
    inference(sr,[status(thm)],[c_0_549,c_0_515]) ).

cnf(c_0_562,plain,
    ( op(e4,op(e2,e4)) = e2
    | op(e4,e3) = e4 ),
    inference(spm,[status(thm)],[c_0_550,c_0_539]) ).

cnf(c_0_563,negated_conjecture,
    ( op(e2,e4) = e4
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_551,c_0_552]) ).

cnf(c_0_564,plain,
    ( epred3_0
    | op(e3,e1) != e1
    | ~ epred4_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_553,c_0_536])]) ).

cnf(c_0_565,negated_conjecture,
    ( epred1_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_551,c_0_554]) ).

cnf(c_0_566,plain,
    ( op(e2,e1) = e3
    | op(e3,e1) = e3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_555,c_0_424]),c_0_453]),c_0_420]),c_0_454]),c_0_556]),c_0_540]) ).

cnf(c_0_567,plain,
    ( op(e2,e1) = e1
    | op(e3,e1) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_557,c_0_424]),c_0_453]),c_0_420]),c_0_470]),c_0_465]),c_0_474]) ).

cnf(c_0_568,plain,
    ( op(e1,e0) = e0
    | op(e1,e0) = e1
    | op(e1,e0) = e2
    | op(e1,e0) = e3
    | op(e1,e0) = e4 ),
    i_0_20 ).

cnf(c_0_569,plain,
    op(e1,e0) != e4,
    inference(rw,[status(thm)],[c_0_558,c_0_420]) ).

cnf(c_0_570,plain,
    op(e1,e0) != op(e0,e0),
    i_0_200 ).

cnf(c_0_571,plain,
    op(e1,e0) != op(e4,e0),
    i_0_194 ).

cnf(c_0_572,plain,
    ( op(e0,e2) = e0
    | op(e2,e0) = e0 ),
    inference(spm,[status(thm)],[c_0_559,c_0_467]) ).

cnf(c_0_573,plain,
    ( op(e0,e2) = e4
    | op(e4,e2) = e4 ),
    inference(spm,[status(thm)],[c_0_466,c_0_560]) ).

cnf(c_0_574,plain,
    ( op(e4,e2) = e3
    | op(e4,e3) != e4 ),
    inference(spm,[status(thm)],[c_0_526,c_0_561]) ).

cnf(c_0_575,negated_conjecture,
    ( op(e4,e3) = e4
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_562,c_0_563]),c_0_417]),c_0_465]) ).

cnf(c_0_576,plain,
    op(op(e1,e3),op(e3,e1)) = e3,
    i_0_84 ).

cnf(c_0_577,plain,
    ( epred1_0
    | epred3_0
    | op(e3,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_564,c_0_565]) ).

cnf(c_0_578,plain,
    ( op(e3,e1) = e1
    | op(e3,e1) = e3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_566,c_0_567]),c_0_437]) ).

cnf(c_0_579,plain,
    op(e2,e3) != op(e4,e3),
    i_0_162 ).

cnf(c_0_580,plain,
    ( op(e0,e3) = e3
    | op(e1,e3) = e3
    | op(e2,e3) = e3
    | op(e3,e3) = e3
    | op(e4,e3) = e3 ),
    i_0_38 ).

cnf(c_0_581,plain,
    op(op(e1,e0),op(e0,e1)) = e0,
    i_0_99 ).

cnf(c_0_582,plain,
    ( op(e1,e0) = e1
    | op(e1,e0) = e2
    | op(e1,e0) = e0
    | op(e1,e0) = e3 ),
    inference(sr,[status(thm)],[c_0_568,c_0_569]) ).

cnf(c_0_583,plain,
    op(e1,e0) != e3,
    inference(rw,[status(thm)],[c_0_570,c_0_433]) ).

cnf(c_0_584,plain,
    op(e1,e0) != e2,
    inference(rw,[status(thm)],[c_0_571,c_0_460]) ).

cnf(c_0_585,plain,
    op(op(e0,e2),op(e2,e0)) = e2,
    i_0_90 ).

cnf(c_0_586,plain,
    ( op(e4,e2) = e4
    | op(e2,e0) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_572,c_0_573]),c_0_521]) ).

cnf(c_0_587,plain,
    ( op(e4,e2) = e3
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_574,c_0_575]) ).

cnf(c_0_588,plain,
    op(e2,op(e3,e1)) = e3,
    inference(rw,[status(thm)],[c_0_576,c_0_503]) ).

cnf(c_0_589,plain,
    ( op(e3,e1) = e3
    | epred1_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_577,c_0_578]) ).

cnf(c_0_590,plain,
    ( epred1_0
    | op(e2,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_579,c_0_554]) ).

cnf(c_0_591,plain,
    op(e2,e3) != op(e2,e1),
    i_0_125 ).

cnf(c_0_592,plain,
    ( op(e4,e3) = e3
    | op(e2,e3) = e3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_580,c_0_457]),c_0_454]),c_0_503]),c_0_477]),c_0_556]),c_0_437]) ).

cnf(c_0_593,plain,
    op(op(e1,e0),e2) = e0,
    inference(rw,[status(thm)],[c_0_581,c_0_453]) ).

cnf(c_0_594,plain,
    ( op(e1,e0) = e0
    | op(e1,e0) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_582,c_0_583]),c_0_584]) ).

cnf(c_0_595,plain,
    ( op(e0,op(e2,e0)) = e2
    | op(e0,e2) = e4 ),
    inference(spm,[status(thm)],[c_0_585,c_0_469]) ).

cnf(c_0_596,plain,
    ( op(e2,e0) = e0
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_586,c_0_587]),c_0_540]) ).

cnf(c_0_597,plain,
    ( op(e1,e0) != e1
    | op(e3,e1) != e3
    | ~ epred1_0 ),
    i_0_241 ).

cnf(c_0_598,plain,
    ( epred1_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_588,c_0_589]),c_0_590]) ).

cnf(c_0_599,plain,
    ( op(e3,e1) = e3
    | op(e2,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_591,c_0_566]) ).

cnf(c_0_600,negated_conjecture,
    ( op(e2,e3) = e3
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_551,c_0_592]) ).

cnf(c_0_601,plain,
    ( op(e1,e0) = e1
    | op(e0,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_593,c_0_594]) ).

cnf(c_0_602,plain,
    ( op(e0,e2) = e4
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_595,c_0_596]),c_0_433]),c_0_556]) ).

cnf(c_0_603,plain,
    ( epred3_0
    | op(e3,e1) != e3
    | op(e1,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_597,c_0_598]) ).

cnf(c_0_604,plain,
    ( op(e3,e1) = e3
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_599,c_0_600]) ).

cnf(c_0_605,plain,
    ( op(e1,e0) = e1
    | epred4_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_601,c_0_602]),c_0_521]) ).

cnf(c_0_606,plain,
    ( op(e0,e0) = e1
    | op(e1,e0) = e1
    | op(e2,e0) = e1
    | op(e3,e0) = e1
    | op(e4,e0) = e1 ),
    i_0_72 ).

cnf(c_0_607,plain,
    op(e2,e1) != op(e1,e1),
    i_0_186 ).

cnf(c_0_608,plain,
    op(e2,e1) != op(e4,e1),
    i_0_182 ).

cnf(c_0_609,plain,
    ( op(e0,e3) = e4
    | op(e1,e3) = e4
    | op(e2,e3) = e4
    | op(e3,e3) = e4
    | op(e4,e3) = e4 ),
    i_0_36 ).

cnf(c_0_610,plain,
    op(e2,e0) != op(e0,e0),
    i_0_199 ).

cnf(c_0_611,plain,
    op(e2,e4) != op(e1,e4),
    i_0_156 ).

cnf(c_0_612,plain,
    ( op(e1,e0) = e1
    | op(e1,e1) = e1
    | op(e1,e2) = e1
    | op(e1,e3) = e1
    | op(e1,e4) = e1 ),
    i_0_63 ).

cnf(c_0_613,plain,
    ( epred3_0
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_603,c_0_604]),c_0_605]) ).

cnf(c_0_614,plain,
    ( op(e1,e0) = e1
    | op(e2,e0) = e1
    | op(e0,e0) = e1
    | op(e3,e0) = e1 ),
    inference(sr,[status(thm)],[c_0_606,c_0_430]) ).

cnf(c_0_615,plain,
    ( op(e2,e1) = e0
    | op(e2,e1) = e1
    | op(e2,e1) = e2
    | op(e2,e1) = e3
    | op(e2,e1) = e4 ),
    i_0_14 ).

cnf(c_0_616,plain,
    op(e2,e1) != e4,
    inference(rw,[status(thm)],[c_0_607,c_0_420]) ).

cnf(c_0_617,plain,
    op(e2,e1) != e0,
    inference(rw,[status(thm)],[c_0_608,c_0_424]) ).

cnf(c_0_618,plain,
    op(e2,e1) != op(e0,e1),
    i_0_189 ).

cnf(c_0_619,plain,
    ( op(e2,e3) = e4
    | op(e0,e3) = e4
    | op(e3,e3) = e4
    | op(e4,e3) = e4 ),
    inference(sr,[status(thm)],[c_0_609,c_0_479]) ).

cnf(c_0_620,plain,
    ( op(e2,e0) = e3
    | op(e2,e1) = e3
    | op(e2,e2) = e3
    | op(e2,e3) = e3
    | op(e2,e4) = e3 ),
    i_0_49 ).

cnf(c_0_621,plain,
    op(e2,e0) != e3,
    inference(rw,[status(thm)],[c_0_610,c_0_433]) ).

cnf(c_0_622,plain,
    op(e2,e4) != e3,
    inference(rw,[status(thm)],[c_0_611,c_0_483]) ).

cnf(c_0_623,plain,
    ( op(e0,e0) = e0
    | op(e1,e0) = e0
    | op(e2,e0) = e0
    | op(e3,e0) = e0
    | op(e4,e0) = e0 ),
    i_0_74 ).

cnf(c_0_624,plain,
    ( op(e1,e2) = e1
    | op(e1,e0) = e1
    | op(e1,e3) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_612,c_0_420]),c_0_428]),c_0_474]) ).

cnf(c_0_625,plain,
    ( epred3_0
    | op(e3,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_564,c_0_613]) ).

cnf(c_0_626,plain,
    op(op(e0,e1),op(e1,e0)) = e1,
    i_0_95 ).

cnf(c_0_627,plain,
    ( op(e3,e0) = e1
    | op(e2,e0) = e1
    | op(e1,e0) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_614,c_0_433]),c_0_437]) ).

cnf(c_0_628,plain,
    ( op(e2,e1) = e1
    | op(e2,e1) = e2
    | op(e2,e1) = e3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_615,c_0_616]),c_0_617]) ).

cnf(c_0_629,plain,
    op(e2,e1) != e2,
    inference(rw,[status(thm)],[c_0_618,c_0_453]) ).

cnf(c_0_630,plain,
    ( op(e4,e3) = e4
    | op(e2,e3) = e4 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_619,c_0_457]),c_0_521]),c_0_477]),c_0_474]) ).

cnf(c_0_631,plain,
    ( op(e2,e3) = e3
    | op(e2,e1) = e3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_620,c_0_621]),c_0_536]),c_0_556]),c_0_622]) ).

cnf(c_0_632,plain,
    op(op(e2,e1),op(e1,e2)) = e1,
    i_0_93 ).

cnf(c_0_633,plain,
    ( op(e2,e0) = e0
    | op(e1,e0) = e0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_623,c_0_439]),c_0_433]),c_0_454]),c_0_497]),c_0_521]) ).

cnf(c_0_634,plain,
    ( op(e1,e0) = e1
    | op(e1,e2) = e1 ),
    inference(sr,[status(thm)],[c_0_624,c_0_490]) ).

cnf(c_0_635,plain,
    ( op(e3,e1) = e3
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_625,c_0_578]) ).

cnf(c_0_636,plain,
    op(e2,op(e1,e0)) = e1,
    inference(rw,[status(thm)],[c_0_626,c_0_453]) ).

cnf(c_0_637,plain,
    ( op(e1,e0) = e1
    | op(e2,e0) = e1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_627,c_0_497]),c_0_474]) ).

cnf(c_0_638,plain,
    ( op(e0,e2) = e4
    | op(e2,e4) = e0 ),
    inference(spm,[status(thm)],[c_0_559,c_0_560]) ).

cnf(c_0_639,plain,
    op(e3,e1) != op(e2,e1),
    i_0_183 ).

cnf(c_0_640,plain,
    ( op(e2,e1) = e3
    | op(e2,e1) = e1 ),
    inference(sr,[status(thm)],[c_0_628,c_0_629]) ).

cnf(c_0_641,plain,
    ( op(e2,e3) = e4
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_545,c_0_630]) ).

cnf(c_0_642,plain,
    ( op(e2,e3) = e3
    | op(e3,e1) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_567,c_0_631]),c_0_437]) ).

cnf(c_0_643,plain,
    op(op(e3,e1),op(e1,e3)) = e1,
    i_0_92 ).

cnf(c_0_644,plain,
    ( op(e1,op(e1,e2)) = e1
    | op(e3,e1) = e1 ),
    inference(spm,[status(thm)],[c_0_632,c_0_567]) ).

cnf(c_0_645,plain,
    ( op(e1,e2) = e1
    | op(e2,e0) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_633,c_0_634]),c_0_470]) ).

cnf(c_0_646,plain,
    ( epred3_0
    | op(e1,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_603,c_0_635]) ).

cnf(c_0_647,plain,
    ( op(e2,e0) = e1
    | op(e2,e1) = e1 ),
    inference(spm,[status(thm)],[c_0_636,c_0_637]) ).

cnf(c_0_648,plain,
    ( op(e2,e4) = e0
    | op(e2,e0) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_572,c_0_638]),c_0_521]) ).

cnf(c_0_649,plain,
    ( op(e2,e1) = e3
    | op(e3,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_639,c_0_640]) ).

cnf(c_0_650,plain,
    ( op(e3,e1) = e1
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_641,c_0_642]),c_0_540]) ).

cnf(c_0_651,plain,
    op(op(e3,e1),e2) = e1,
    inference(rw,[status(thm)],[c_0_643,c_0_503]) ).

cnf(c_0_652,plain,
    ( op(e2,e0) = e0
    | op(e3,e1) = e1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_644,c_0_645]),c_0_420]),c_0_474]) ).

cnf(c_0_653,plain,
    ( op(e2,e0) = e1
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_646,c_0_637]) ).

cnf(c_0_654,plain,
    op(e2,e4) != op(e0,e4),
    i_0_159 ).

cnf(c_0_655,plain,
    ( op(e2,e4) = e0
    | op(e2,e1) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_647,c_0_648]),c_0_470]) ).

cnf(c_0_656,plain,
    ( op(e2,e1) = e3
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_649,c_0_650]) ).

cnf(c_0_657,plain,
    op(op(e2,e0),op(e0,e2)) = e0,
    i_0_98 ).

cnf(c_0_658,plain,
    ( op(e2,e0) = e1
    | op(e1,e2) = e0 ),
    inference(spm,[status(thm)],[c_0_593,c_0_637]) ).

cnf(c_0_659,plain,
    ( op(e1,e2) = e1
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_651,c_0_650]) ).

cnf(c_0_660,plain,
    op(e0,e2) != op(e0,e0),
    i_0_149 ).

cnf(c_0_661,plain,
    op(e1,e2) != op(e1,e4),
    i_0_132 ).

cnf(c_0_662,plain,
    ( op(e0,e4) != e4
    | op(e1,e0) != e0
    | ~ epred3_0 ),
    i_0_279 ).

cnf(c_0_663,plain,
    epred3_0,
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_652,c_0_653]),c_0_470]),c_0_625]) ).

cnf(c_0_664,plain,
    ( op(e0,e4) = e4
    | op(e2,e4) != e0 ),
    inference(spm,[status(thm)],[c_0_654,c_0_510]) ).

cnf(c_0_665,plain,
    ( op(e2,e4) = e0
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_655,c_0_656]),c_0_437]) ).

cnf(c_0_666,plain,
    ( op(op(e2,e0),e0) = e0
    | op(e2,e0) = e0 ),
    inference(spm,[status(thm)],[c_0_657,c_0_572]) ).

cnf(c_0_667,plain,
    ( op(e2,e0) = e1
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_658,c_0_659]),c_0_470]) ).

cnf(c_0_668,plain,
    ( op(e0,e2) = e3
    | op(e1,e2) = e3
    | op(e2,e2) = e3
    | op(e3,e2) = e3
    | op(e4,e2) = e3 ),
    i_0_48 ).

cnf(c_0_669,plain,
    op(e0,e2) != e3,
    inference(rw,[status(thm)],[c_0_660,c_0_433]) ).

cnf(c_0_670,plain,
    op(e1,e2) != e3,
    inference(rw,[status(thm)],[c_0_661,c_0_483]) ).

cnf(c_0_671,plain,
    ( op(e0,e2) = e1
    | op(e1,e2) = e1
    | op(e2,e2) = e1
    | op(e3,e2) = e1
    | op(e4,e2) = e1 ),
    i_0_52 ).

cnf(c_0_672,plain,
    ( op(e0,e4) != e4
    | op(e1,e0) != e0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_662,c_0_663])]) ).

cnf(c_0_673,plain,
    ( op(e0,e4) = e4
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_664,c_0_665]) ).

cnf(c_0_674,plain,
    ( op(e1,e0) = e0
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_666,c_0_667]),c_0_470]) ).

cnf(c_0_675,plain,
    op(e2,e0) != op(e1,e0),
    i_0_196 ).

cnf(c_0_676,plain,
    ( op(e4,e2) = e3
    | op(e3,e2) = e3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_668,c_0_669]),c_0_536]),c_0_670]),c_0_556]) ).

cnf(c_0_677,plain,
    ( op(e1,e2) = e1
    | op(e2,e2) = e1
    | op(e0,e2) = e1
    | op(e3,e2) = e1 ),
    inference(sr,[status(thm)],[c_0_671,c_0_532]) ).

cnf(c_0_678,plain,
    op(e0,e2) != e1,
    inference(rw,[status(thm)],[c_0_471,c_0_477]) ).

cnf(c_0_679,plain,
    epred1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_672,c_0_673]),c_0_674]) ).

cnf(c_0_680,plain,
    ( op(e3,e0) = e3
    | op(e3,e1) = e3
    | op(e3,e2) = e3
    | op(e3,e3) = e3
    | op(e3,e4) = e3 ),
    i_0_39 ).

cnf(c_0_681,plain,
    ( op(e1,e0) = e1
    | op(e2,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_675,c_0_594]) ).

cnf(c_0_682,plain,
    ( op(e3,e2) = e3
    | op(e2,e0) = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_586,c_0_676]),c_0_540]) ).

cnf(c_0_683,plain,
    ( op(e3,e2) = e1
    | op(e1,e2) = e1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_677,c_0_678]),c_0_536]),c_0_465]) ).

cnf(c_0_684,plain,
    ( op(e3,e1) != e3
    | op(e1,e0) != e1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_597,c_0_679])]) ).

cnf(c_0_685,plain,
    ( op(e3,e2) = e3
    | op(e3,e1) = e3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_680,c_0_457]),c_0_454]),c_0_497]),c_0_517]),c_0_540]),c_0_556]) ).

cnf(c_0_686,plain,
    ( op(e3,e2) = e3
    | op(e1,e0) = e1 ),
    inference(spm,[status(thm)],[c_0_681,c_0_682]) ).

cnf(c_0_687,plain,
    ( op(e0,e4) = e4
    | op(e2,e0) = e0 ),
    inference(spm,[status(thm)],[c_0_559,c_0_510]) ).

cnf(c_0_688,plain,
    ( op(e3,e2) = e1
    | op(e2,e0) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_658,c_0_683]),c_0_470]) ).

cnf(c_0_689,plain,
    op(e3,e2) = e3,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_684,c_0_685]),c_0_686]) ).

cnf(c_0_690,plain,
    op(e2,e0) = e0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_672,c_0_687]),c_0_633]) ).

cnf(c_0_691,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_688,c_0_689]),c_0_437]),c_0_690]),c_0_470]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : ALG170+1 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n027.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 20:08:29 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected complete mode:
% 4.67/2.28  # ENIGMATIC: Solved by autoschedule-lgb:
% 4.67/2.28  # No SInE strategy applied
% 4.67/2.28  # Trying AutoSched0 for 150 seconds
% 4.67/2.28  # AutoSched0-Mode selected heuristic H_____102_C18_F1_PI_AE_Q4_CS_SP_S1S
% 4.67/2.28  # and selection function SelectComplexAHP.
% 4.67/2.28  #
% 4.67/2.28  # Preprocessing time       : 0.016 s
% 4.67/2.28  
% 4.67/2.28  # Proof found!
% 4.67/2.28  # SZS status Theorem
% 4.67/2.28  # SZS output start CNFRefutation
% See solution above
% 4.67/2.28  # Training examples: 0 positive, 0 negative
% 4.67/2.28  
% 4.67/2.28  # -------------------------------------------------
% 4.67/2.28  # User time                : 0.063 s
% 4.67/2.28  # System time              : 0.003 s
% 4.67/2.28  # Total time               : 0.066 s
% 4.67/2.28  # Maximum resident set size: 7120 pages
% 4.67/2.28  
%------------------------------------------------------------------------------