TSTP Solution File: ALG068+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG068+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 14 14:51:34 EDT 2022

% Result   : Theorem 8.03s 2.53s
% Output   : CNFRefutation 8.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   48
%            Number of leaves      :   69
% Syntax   : Number of clauses     :  240 ( 116 unt;  95 nHn; 240 RR)
%            Number of literals    :  566 ( 489 equ; 178 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   9 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_199,plain,
    op(op(e4,e2),op(e4,e2)) = e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_199) ).

cnf(i_0_198,plain,
    op(e4,e2) = e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_198) ).

cnf(i_0_197,plain,
    op(e2,e4) = e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_197) ).

cnf(i_0_26,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | unit = e3
    | unit = e4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_26) ).

cnf(i_0_31,plain,
    op(e2,unit) = e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_31) ).

cnf(i_0_189,plain,
    e3 != e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_189) ).

cnf(i_0_222,negated_conjecture,
    ( op(e1,e0) = e1
    | op(e1,e1) != e0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_222) ).

cnf(i_0_28,plain,
    op(unit,e4) = e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_28) ).

cnf(i_0_187,plain,
    e3 != e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_187) ).

cnf(i_0_120,plain,
    op(e1,e4) != op(e1,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_120) ).

cnf(i_0_123,plain,
    op(e1,e0) != op(e1,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_123) ).

cnf(i_0_142,plain,
    op(e2,e4) != op(e1,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_142) ).

cnf(i_0_146,plain,
    op(e0,e4) != op(e1,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_146) ).

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-jt1q2lqy/lgb.p',i_0_16) ).

cnf(i_0_138,plain,
    op(e2,e4) != op(e4,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_138) ).

cnf(i_0_88,plain,
    op(e4,e2) != op(e4,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_88) ).

cnf(i_0_205,negated_conjecture,
    ( op(e4,e2) = e4
    | op(e4,e4) != e2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_205) ).

cnf(i_0_190,plain,
    e4 != e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_190) ).

cnf(i_0_417,plain,
    ( epred7_0
    | op(op(e4,e1),e4) != e1
    | op(op(e4,e2),e4) != e2
    | op(op(e4,e3),e4) != e3
    | ~ epred8_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_417) ).

cnf(i_0_202,negated_conjecture,
    epred8_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_202) ).

cnf(i_0_40,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-jt1q2lqy/lgb.p',i_0_40) ).

cnf(i_0_191,plain,
    e3 != e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_191) ).

cnf(i_0_43,plain,
    ( op(e0,e4) = e1
    | op(e1,e4) = e1
    | op(e2,e4) = e1
    | op(e3,e4) = e1
    | op(e4,e4) = e1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_43) ).

cnf(i_0_42,plain,
    ( op(e4,e0) = e2
    | op(e4,e1) = e2
    | op(e4,e2) = e2
    | op(e4,e3) = e2
    | op(e4,e4) = e2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_42) ).

cnf(i_0_192,plain,
    e2 != e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_192) ).

cnf(i_0_27,plain,
    op(e4,unit) = e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_27) ).

cnf(i_0_188,plain,
    e2 != e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_188) ).

cnf(i_0_153,plain,
    op(e0,e3) != op(e4,e3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_153) ).

cnf(i_0_176,plain,
    op(e0,e1) != op(e1,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_176) ).

cnf(i_0_30,plain,
    op(unit,e3) = e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_30) ).

cnf(i_0_124,plain,
    op(e1,e0) != op(e1,e3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_124) ).

cnf(i_0_35,plain,
    op(e0,unit) = e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_35) ).

cnf(i_0_33,plain,
    op(e1,unit) = e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_33) ).

cnf(i_0_68,plain,
    ( op(e1,e0) = e4
    | op(e1,e1) = e4
    | op(e1,e2) = e4
    | op(e1,e3) = e4
    | op(e1,e4) = e4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_68) ).

cnf(i_0_193,plain,
    e0 != e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_193) ).

cnf(i_0_410,plain,
    ( epred6_0
    | op(e0,e4) != op(e4,e0)
    | op(op(e3,e4),e3) != e4
    | ~ epred7_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_410) ).

cnf(i_0_70,plain,
    ( op(e1,e0) = e3
    | op(e1,e1) = e3
    | op(e1,e2) = e3
    | op(e1,e3) = e3
    | op(e1,e4) = e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_70) ).

cnf(i_0_194,plain,
    e0 != e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_194) ).

cnf(i_0_156,plain,
    op(e0,e3) != op(e1,e3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_156) ).

cnf(i_0_213,negated_conjecture,
    ( op(e2,e4) = e2
    | op(e2,e2) != e4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_213) ).

cnf(i_0_57,plain,
    ( op(e0,e2) = e4
    | op(e1,e2) = e4
    | op(e2,e2) = e4
    | op(e3,e2) = e4
    | op(e4,e2) = e4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_57) ).

cnf(i_0_32,plain,
    op(unit,e2) = e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_32) ).

cnf(i_0_182,plain,
    op(e2,e0) != op(e1,e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_182) ).

cnf(i_0_158,plain,
    op(e2,e2) != op(e4,e2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_158) ).

cnf(i_0_171,plain,
    op(e3,e1) != op(e1,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_171) ).

cnf(i_0_64,plain,
    ( op(e2,e0) = e1
    | op(e2,e1) = e1
    | op(e2,e2) = e1
    | op(e2,e3) = e1
    | op(e2,e4) = e1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_64) ).

cnf(i_0_381,plain,
    ( epred5_0
    | op(e0,e3) != op(e3,e0)
    | op(op(e3,e1),e3) != e1
    | op(op(e3,e2),e3) != e2
    | ~ epred6_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_381) ).

cnf(i_0_102,plain,
    op(e3,e2) != op(e3,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_102) ).

cnf(i_0_9,plain,
    ( op(e3,e1) = e0
    | op(e3,e1) = e1
    | op(e3,e1) = e2
    | op(e3,e1) = e3
    | op(e3,e1) = e4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_9) ).

cnf(i_0_106,plain,
    op(e3,e0) != op(e3,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_106) ).

cnf(i_0_29,plain,
    op(e3,unit) = e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_29) ).

cnf(i_0_174,plain,
    op(e0,e1) != op(e3,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_174) ).

cnf(i_0_34,plain,
    op(unit,e1) = e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_34) ).

cnf(i_0_175,plain,
    op(e0,e1) != op(e2,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_175) ).

cnf(i_0_167,plain,
    op(e3,e1) != op(e4,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_167) ).

cnf(i_0_358,plain,
    ( op(op(e2,e3),e3) = e2
    | op(op(e2,e4),e4) = e2
    | epred4_0
    | ~ epred5_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_358) ).

cnf(i_0_141,plain,
    op(e3,e4) != op(e1,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_141) ).

cnf(i_0_117,plain,
    op(e1,e3) != op(e1,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_117) ).

cnf(i_0_315,plain,
    ( epred3_0
    | op(e0,e2) != op(e2,e0)
    | op(op(e1,e4),e1) != e4
    | op(op(e2,e1),e2) != e1
    | ~ epred4_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_315) ).

cnf(i_0_58,plain,
    ( op(e2,e0) = e4
    | op(e2,e1) = e4
    | op(e2,e2) = e4
    | op(e2,e3) = e4
    | op(e2,e4) = e4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_58) ).

cnf(i_0_304,plain,
    ( op(op(e1,e2),e2) = e1
    | op(op(e1,e3),e3) = e1
    | epred2_0
    | ~ epred3_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_304) ).

cnf(i_0_157,plain,
    op(e3,e2) != op(e4,e2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_157) ).

cnf(i_0_89,plain,
    op(e4,e3) != op(e4,e2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_89) ).

cnf(i_0_279,plain,
    ( epred1_0
    | op(e0,e3) != op(e3,e0)
    | op(e0,e4) != op(e4,e0)
    | op(op(e1,e0),e1) != e0
    | ~ epred2_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_279) ).

cnf(i_0_172,plain,
    op(e2,e1) != op(e1,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_172) ).

cnf(i_0_66,plain,
    ( op(e2,e0) = e0
    | op(e2,e1) = e0
    | op(e2,e2) = e0
    | op(e2,e3) = e0
    | op(e2,e4) = e0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_66) ).

cnf(i_0_217,negated_conjecture,
    ( op(e2,e0) = e2
    | op(e2,e2) != e0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_217) ).

cnf(i_0_254,plain,
    ( op(e0,e1) != op(e1,e0)
    | op(e0,e2) != op(e2,e0)
    | ~ epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_254) ).

cnf(i_0_195,plain,
    e0 != e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jt1q2lqy/lgb.p',i_0_195) ).

cnf(c_0_487,plain,
    op(op(e4,e2),op(e4,e2)) = e0,
    i_0_199 ).

cnf(c_0_488,plain,
    op(e4,e2) = e1,
    i_0_198 ).

cnf(c_0_489,plain,
    op(e2,e4) = e3,
    i_0_197 ).

cnf(c_0_490,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | unit = e3
    | unit = e4 ),
    i_0_26 ).

cnf(c_0_491,plain,
    op(e2,unit) = e2,
    i_0_31 ).

cnf(c_0_492,plain,
    e3 != e2,
    i_0_189 ).

cnf(c_0_493,negated_conjecture,
    ( op(e1,e0) = e1
    | op(e1,e1) != e0 ),
    i_0_222 ).

cnf(c_0_494,plain,
    op(e1,e1) = e0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_487,c_0_488]),c_0_488]) ).

cnf(c_0_495,plain,
    ( e3 = unit
    | e2 = unit
    | e1 = unit
    | e0 = unit ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_490]),c_0_491]),c_0_492]) ).

cnf(c_0_496,plain,
    op(unit,e4) = e4,
    i_0_28 ).

cnf(c_0_497,plain,
    e3 != e4,
    i_0_187 ).

cnf(c_0_498,plain,
    op(e1,e4) != op(e1,e1),
    i_0_120 ).

cnf(c_0_499,plain,
    op(e1,e0) != op(e1,e4),
    i_0_123 ).

cnf(c_0_500,negated_conjecture,
    op(e1,e0) = e1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_493,c_0_494])]) ).

cnf(c_0_501,plain,
    op(e2,e4) != op(e1,e4),
    i_0_142 ).

cnf(c_0_502,plain,
    op(e0,e4) != op(e1,e4),
    i_0_146 ).

cnf(c_0_503,plain,
    ( e0 = unit
    | e1 = unit
    | e3 = unit ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_495]),c_0_496]),c_0_497]) ).

cnf(c_0_504,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_505,plain,
    op(e1,e4) != e0,
    inference(rw,[status(thm)],[c_0_498,c_0_494]) ).

cnf(c_0_506,plain,
    op(e1,e4) != e1,
    inference(rw,[status(thm)],[c_0_499,c_0_500]) ).

cnf(c_0_507,plain,
    op(e1,e4) != e3,
    inference(rw,[status(thm)],[c_0_501,c_0_489]) ).

cnf(c_0_508,plain,
    op(e2,e4) != op(e4,e4),
    i_0_138 ).

cnf(c_0_509,plain,
    op(e4,e2) != op(e4,e4),
    i_0_88 ).

cnf(c_0_510,negated_conjecture,
    ( op(e4,e2) = e4
    | op(e4,e4) != e2 ),
    i_0_205 ).

cnf(c_0_511,plain,
    e4 != e1,
    i_0_190 ).

cnf(c_0_512,plain,
    ( epred7_0
    | op(op(e4,e1),e4) != e1
    | op(op(e4,e2),e4) != e2
    | op(op(e4,e3),e4) != e3
    | ~ epred8_0 ),
    i_0_417 ).

cnf(c_0_513,negated_conjecture,
    epred8_0,
    i_0_202 ).

cnf(c_0_514,plain,
    ( e3 = unit
    | e1 = unit
    | op(e1,e4) != e4 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_503]),c_0_496]) ).

cnf(c_0_515,plain,
    ( op(e1,e4) = e4
    | op(e1,e4) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_504,c_0_505]),c_0_506]),c_0_507]) ).

cnf(c_0_516,plain,
    ( op(e4,e0) = e3
    | op(e4,e1) = e3
    | op(e4,e2) = e3
    | op(e4,e3) = e3
    | op(e4,e4) = e3 ),
    i_0_40 ).

cnf(c_0_517,plain,
    e3 != e1,
    i_0_191 ).

cnf(c_0_518,plain,
    op(e4,e4) != e3,
    inference(rw,[status(thm)],[c_0_508,c_0_489]) ).

cnf(c_0_519,plain,
    ( op(e0,e4) = e1
    | op(e1,e4) = e1
    | op(e2,e4) = e1
    | op(e3,e4) = e1
    | op(e4,e4) = e1 ),
    i_0_43 ).

cnf(c_0_520,plain,
    op(e4,e4) != e1,
    inference(rw,[status(thm)],[c_0_509,c_0_488]) ).

cnf(c_0_521,plain,
    ( op(e4,e0) = e2
    | op(e4,e1) = e2
    | op(e4,e2) = e2
    | op(e4,e3) = e2
    | op(e4,e4) = e2 ),
    i_0_42 ).

cnf(c_0_522,plain,
    e2 != e1,
    i_0_192 ).

cnf(c_0_523,negated_conjecture,
    op(e4,e4) != e2,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_510,c_0_488]),c_0_511]) ).

cnf(c_0_524,plain,
    ( epred7_0
    | op(op(e4,e1),e4) != e1
    | op(op(e4,e3),e4) != e3
    | op(e1,e4) != e2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_512,c_0_488]),c_0_513])]) ).

cnf(c_0_525,plain,
    ( op(e1,e4) = e2
    | e1 = unit
    | e3 = unit ),
    inference(spm,[status(thm)],[c_0_514,c_0_515]) ).

cnf(c_0_526,plain,
    ( op(e4,e3) = e3
    | op(e4,e1) = e3
    | op(e4,e0) = e3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_516,c_0_488]),c_0_517]),c_0_518]) ).

cnf(c_0_527,plain,
    op(e4,unit) = e4,
    i_0_27 ).

cnf(c_0_528,plain,
    ( op(e3,e4) = e1
    | op(e0,e4) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_519,c_0_489]),c_0_506]),c_0_517]),c_0_520]) ).

cnf(c_0_529,plain,
    ( op(e4,e3) = e2
    | op(e4,e1) = e2
    | op(e4,e0) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_521,c_0_488]),c_0_522]),c_0_523]) ).

cnf(c_0_530,plain,
    e2 != e4,
    i_0_188 ).

cnf(c_0_531,plain,
    ( e3 = unit
    | e1 = unit
    | epred7_0
    | op(op(e4,e1),e4) != e1
    | op(op(e4,e3),e4) != e3 ),
    inference(spm,[status(thm)],[c_0_524,c_0_525]) ).

cnf(c_0_532,plain,
    ( op(e4,e3) = e3
    | op(e4,e1) = e3
    | e3 = unit
    | e1 = unit ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_526,c_0_503]),c_0_527]),c_0_497]) ).

cnf(c_0_533,plain,
    ( op(e3,e4) = e1
    | e3 = unit
    | e1 = unit ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_528,c_0_503]),c_0_496]),c_0_511]) ).

cnf(c_0_534,plain,
    ( op(e4,e3) = e2
    | op(e4,e1) = e2
    | e3 = unit
    | e1 = unit ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_529,c_0_503]),c_0_527]),c_0_530]) ).

cnf(c_0_535,plain,
    ( op(e4,e3) = e3
    | e1 = unit
    | e3 = unit
    | epred7_0
    | op(op(e4,e3),e4) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_531,c_0_532]),c_0_533]) ).

cnf(c_0_536,plain,
    ( op(e4,e3) = e3
    | op(e4,e3) = e2
    | e1 = unit
    | e3 = unit ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_534,c_0_532]),c_0_492]) ).

cnf(c_0_537,plain,
    op(e0,e3) != op(e4,e3),
    i_0_153 ).

cnf(c_0_538,plain,
    ( op(e4,e3) = e3
    | e3 = unit
    | e1 = unit
    | epred7_0 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_535,c_0_536]),c_0_489])]),c_0_492]) ).

cnf(c_0_539,plain,
    op(e0,e1) != op(e1,e1),
    i_0_176 ).

cnf(c_0_540,plain,
    ( e1 = unit
    | e3 = unit
    | epred7_0
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_537,c_0_538]) ).

cnf(c_0_541,plain,
    op(unit,e3) = e3,
    i_0_30 ).

cnf(c_0_542,plain,
    op(e1,e0) != op(e1,e3),
    i_0_124 ).

cnf(c_0_543,plain,
    op(e0,e1) != e0,
    inference(rw,[status(thm)],[c_0_539,c_0_494]) ).

cnf(c_0_544,plain,
    ( e3 = unit
    | e1 = unit
    | epred7_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_540,c_0_503]),c_0_541])]) ).

cnf(c_0_545,plain,
    op(e0,unit) = e0,
    i_0_35 ).

cnf(c_0_546,plain,
    op(e1,e3) != e1,
    inference(rw,[status(thm)],[c_0_542,c_0_500]) ).

cnf(c_0_547,plain,
    ( e3 = unit
    | epred7_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_543,c_0_544]),c_0_545])]) ).

cnf(c_0_548,plain,
    op(e1,unit) = e1,
    i_0_33 ).

cnf(c_0_549,plain,
    ( op(e1,e0) = e4
    | op(e1,e1) = e4
    | op(e1,e2) = e4
    | op(e1,e3) = e4
    | op(e1,e4) = e4 ),
    i_0_68 ).

cnf(c_0_550,plain,
    e0 != e4,
    i_0_193 ).

cnf(c_0_551,plain,
    ( epred6_0
    | op(e0,e4) != op(e4,e0)
    | op(op(e3,e4),e3) != e4
    | ~ epred7_0 ),
    i_0_410 ).

cnf(c_0_552,plain,
    epred7_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_546,c_0_547]),c_0_548])]) ).

cnf(c_0_553,plain,
    ( op(e1,e0) = e3
    | op(e1,e1) = e3
    | op(e1,e2) = e3
    | op(e1,e3) = e3
    | op(e1,e4) = e3 ),
    i_0_70 ).

cnf(c_0_554,plain,
    e0 != e3,
    i_0_194 ).

cnf(c_0_555,plain,
    ( op(e1,e4) = e4
    | op(e1,e3) = e4
    | op(e1,e2) = e4 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_549,c_0_500]),c_0_494]),c_0_511]),c_0_550]) ).

cnf(c_0_556,plain,
    op(e0,e3) != op(e1,e3),
    i_0_156 ).

cnf(c_0_557,plain,
    ( epred6_0
    | op(e4,e0) != op(e0,e4)
    | op(op(e3,e4),e3) != e4 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_551,c_0_552])]) ).

cnf(c_0_558,plain,
    ( op(e1,e3) = e3
    | op(e1,e2) = e3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_553,c_0_500]),c_0_494]),c_0_517]),c_0_554]),c_0_507]) ).

cnf(c_0_559,plain,
    ( op(e1,e3) = e4
    | op(e1,e2) = e4
    | e1 = unit
    | e3 = unit ),
    inference(spm,[status(thm)],[c_0_514,c_0_555]) ).

cnf(c_0_560,plain,
    ( e3 = unit
    | e1 = unit
    | op(e1,e3) != e3 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_556,c_0_503]),c_0_541]) ).

cnf(c_0_561,negated_conjecture,
    ( op(e2,e4) = e2
    | op(e2,e2) != e4 ),
    i_0_213 ).

cnf(c_0_562,plain,
    ( e3 = unit
    | e1 = unit
    | epred6_0
    | op(op(e3,e4),e3) != e4 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_557,c_0_503]),c_0_527]),c_0_496])]) ).

cnf(c_0_563,plain,
    ( op(e1,e3) = e4
    | e3 = unit
    | e1 = unit ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_558,c_0_559]),c_0_497]),c_0_560]) ).

cnf(c_0_564,plain,
    ( op(e0,e2) = e4
    | op(e1,e2) = e4
    | op(e2,e2) = e4
    | op(e3,e2) = e4
    | op(e4,e2) = e4 ),
    i_0_57 ).

cnf(c_0_565,negated_conjecture,
    op(e2,e2) != e4,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_561,c_0_489]),c_0_492]) ).

cnf(c_0_566,plain,
    ( e1 = unit
    | e3 = unit
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_562,c_0_533]),c_0_563]) ).

cnf(c_0_567,plain,
    ( op(e3,e2) = e4
    | op(e1,e2) = e4
    | op(e0,e2) = e4 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_564,c_0_488]),c_0_565]),c_0_511]) ).

cnf(c_0_568,plain,
    op(unit,e2) = e2,
    i_0_32 ).

cnf(c_0_569,plain,
    op(e2,e0) != op(e1,e0),
    i_0_182 ).

cnf(c_0_570,plain,
    op(e2,e2) != op(e4,e2),
    i_0_158 ).

cnf(c_0_571,plain,
    ( e3 = unit
    | epred6_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_543,c_0_566]),c_0_545])]) ).

cnf(c_0_572,plain,
    ( op(e3,e2) = e4
    | op(e1,e2) = e4
    | e3 = unit
    | e1 = unit ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_567,c_0_503]),c_0_568]),c_0_530]) ).

cnf(c_0_573,plain,
    op(e3,e1) != op(e1,e1),
    i_0_171 ).

cnf(c_0_574,plain,
    ( op(e2,e0) = e1
    | op(e2,e1) = e1
    | op(e2,e2) = e1
    | op(e2,e3) = e1
    | op(e2,e4) = e1 ),
    i_0_64 ).

cnf(c_0_575,plain,
    op(e2,e0) != e1,
    inference(rw,[status(thm)],[c_0_569,c_0_500]) ).

cnf(c_0_576,plain,
    op(e2,e2) != e1,
    inference(rw,[status(thm)],[c_0_570,c_0_488]) ).

cnf(c_0_577,plain,
    ( epred5_0
    | op(e0,e3) != op(e3,e0)
    | op(op(e3,e1),e3) != e1
    | op(op(e3,e2),e3) != e2
    | ~ epred6_0 ),
    i_0_381 ).

cnf(c_0_578,plain,
    epred6_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_546,c_0_571]),c_0_548])]) ).

cnf(c_0_579,plain,
    op(e3,e2) != op(e3,e1),
    i_0_102 ).

cnf(c_0_580,plain,
    ( op(e3,e2) = e4
    | e1 = unit
    | e3 = unit ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_558,c_0_572]),c_0_497]),c_0_560]) ).

cnf(c_0_581,plain,
    ( op(e3,e1) = e0
    | op(e3,e1) = e1
    | op(e3,e1) = e2
    | op(e3,e1) = e3
    | op(e3,e1) = e4 ),
    i_0_9 ).

cnf(c_0_582,plain,
    op(e3,e1) != e0,
    inference(rw,[status(thm)],[c_0_573,c_0_494]) ).

cnf(c_0_583,plain,
    op(e3,e0) != op(e3,e1),
    i_0_106 ).

cnf(c_0_584,plain,
    op(e3,unit) = e3,
    i_0_29 ).

cnf(c_0_585,plain,
    op(e0,e1) != op(e3,e1),
    i_0_174 ).

cnf(c_0_586,plain,
    op(unit,e1) = e1,
    i_0_34 ).

cnf(c_0_587,plain,
    op(e0,e1) != op(e2,e1),
    i_0_175 ).

cnf(c_0_588,plain,
    ( op(e2,e3) = e1
    | op(e2,e1) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_574,c_0_489]),c_0_575]),c_0_576]),c_0_517]) ).

cnf(c_0_589,plain,
    ( epred5_0
    | op(e0,e3) != op(e3,e0)
    | op(op(e3,e1),e3) != e1
    | op(op(e3,e2),e3) != e2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_577,c_0_578])]) ).

cnf(c_0_590,plain,
    ( e3 = unit
    | e1 = unit
    | op(e3,e1) != e4 ),
    inference(spm,[status(thm)],[c_0_579,c_0_580]) ).

cnf(c_0_591,plain,
    ( op(e3,e1) = e4
    | op(e3,e1) = e3
    | op(e3,e1) = e2
    | op(e3,e1) = e1 ),
    inference(sr,[status(thm)],[c_0_581,c_0_582]) ).

cnf(c_0_592,plain,
    ( e3 = unit
    | e1 = unit
    | op(e3,e1) != e3 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_583,c_0_503]),c_0_584]) ).

cnf(c_0_593,plain,
    ( e3 = unit
    | e1 = unit
    | op(e3,e1) != e1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_585,c_0_503]),c_0_586]) ).

cnf(c_0_594,plain,
    ( op(e2,e3) = e1
    | op(e0,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_587,c_0_588]) ).

cnf(c_0_595,plain,
    op(e3,e1) != op(e4,e1),
    i_0_167 ).

cnf(c_0_596,plain,
    ( e3 = unit
    | e1 = unit
    | epred5_0
    | op(op(e3,e1),e3) != e1
    | op(op(e3,e2),e3) != e2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_589,c_0_503]),c_0_541]),c_0_584])]) ).

cnf(c_0_597,plain,
    ( op(e3,e1) = e2
    | e1 = unit
    | e3 = unit ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_590,c_0_591]),c_0_592]),c_0_593]) ).

cnf(c_0_598,plain,
    ( op(e2,e3) = e1
    | e3 = unit
    | e1 = unit ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_594,c_0_503]),c_0_586])]) ).

cnf(c_0_599,plain,
    ( op(e4,e3) = e2
    | e1 = unit
    | e3 = unit
    | op(e3,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_595,c_0_534]) ).

cnf(c_0_600,plain,
    ( e1 = unit
    | e3 = unit
    | epred5_0
    | op(op(e3,e2),e3) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_596,c_0_597]),c_0_598]) ).

cnf(c_0_601,plain,
    ( op(e4,e3) = e2
    | e3 = unit
    | e1 = unit ),
    inference(spm,[status(thm)],[c_0_599,c_0_597]) ).

cnf(c_0_602,plain,
    ( e3 = unit
    | e1 = unit
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_600,c_0_580]),c_0_601]) ).

cnf(c_0_603,plain,
    ( op(op(e2,e3),e3) = e2
    | op(op(e2,e4),e4) = e2
    | epred4_0
    | ~ epred5_0 ),
    i_0_358 ).

cnf(c_0_604,plain,
    ( e3 = unit
    | epred5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_543,c_0_602]),c_0_545])]) ).

cnf(c_0_605,plain,
    ( op(op(e2,e3),e3) = e2
    | op(e3,e4) = e2
    | epred4_0
    | ~ epred5_0 ),
    inference(rw,[status(thm)],[c_0_603,c_0_489]) ).

cnf(c_0_606,plain,
    epred5_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_546,c_0_604]),c_0_548])]) ).

cnf(c_0_607,plain,
    op(e3,e4) != op(e1,e4),
    i_0_141 ).

cnf(c_0_608,plain,
    op(e1,e3) != op(e1,e4),
    i_0_117 ).

cnf(c_0_609,plain,
    ( op(op(e2,e3),e3) = e2
    | op(e3,e4) = e2
    | epred4_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_605,c_0_606])]) ).

cnf(c_0_610,plain,
    ( e3 = unit
    | e1 = unit
    | op(e3,e4) != e2 ),
    inference(spm,[status(thm)],[c_0_607,c_0_525]) ).

cnf(c_0_611,plain,
    ( e3 = unit
    | e1 = unit
    | op(e1,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_608,c_0_525]) ).

cnf(c_0_612,plain,
    ( e1 = unit
    | e3 = unit
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_609,c_0_598]),c_0_610]),c_0_611]) ).

cnf(c_0_613,plain,
    ( e3 = unit
    | epred4_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_543,c_0_612]),c_0_545])]) ).

cnf(c_0_614,plain,
    ( epred3_0
    | op(e0,e2) != op(e2,e0)
    | op(op(e1,e4),e1) != e4
    | op(op(e2,e1),e2) != e1
    | ~ epred4_0 ),
    i_0_315 ).

cnf(c_0_615,plain,
    epred4_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_546,c_0_613]),c_0_548])]) ).

cnf(c_0_616,plain,
    ( epred3_0
    | op(e2,e0) != op(e0,e2)
    | op(op(e1,e4),e1) != e4
    | op(op(e2,e1),e2) != e1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_614,c_0_615])]) ).

cnf(c_0_617,plain,
    ( op(e2,e0) = e4
    | op(e2,e1) = e4
    | op(e2,e2) = e4
    | op(e2,e3) = e4
    | op(e2,e4) = e4 ),
    i_0_58 ).

cnf(c_0_618,plain,
    ( e3 = unit
    | e1 = unit
    | epred3_0
    | op(op(e1,e4),e1) != e4
    | op(op(e2,e1),e2) != e1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_616,c_0_503]),c_0_491]),c_0_568])]) ).

cnf(c_0_619,plain,
    ( op(e2,e3) = e4
    | op(e2,e1) = e4
    | op(e2,e0) = e4 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_617,c_0_489]),c_0_565]),c_0_497]) ).

cnf(c_0_620,plain,
    ( e1 = unit
    | e3 = unit
    | epred3_0
    | op(op(e2,e1),e2) != e1
    | op(e2,e1) != e4 ),
    inference(spm,[status(thm)],[c_0_618,c_0_525]) ).

cnf(c_0_621,plain,
    ( op(e2,e3) = e4
    | op(e2,e1) = e4
    | e3 = unit
    | e1 = unit ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_619,c_0_503]),c_0_491]),c_0_530]) ).

cnf(c_0_622,plain,
    ( op(e2,e3) = e4
    | e3 = unit
    | e1 = unit
    | epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_621]),c_0_488])]) ).

cnf(c_0_623,plain,
    ( e1 = unit
    | e3 = unit
    | epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_598,c_0_622]),c_0_511]) ).

cnf(c_0_624,plain,
    ( e3 = unit
    | epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_543,c_0_623]),c_0_545])]) ).

cnf(c_0_625,plain,
    ( op(op(e1,e2),e2) = e1
    | op(op(e1,e3),e3) = e1
    | epred2_0
    | ~ epred3_0 ),
    i_0_304 ).

cnf(c_0_626,plain,
    epred3_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_546,c_0_624]),c_0_548])]) ).

cnf(c_0_627,plain,
    op(e3,e2) != op(e4,e2),
    i_0_157 ).

cnf(c_0_628,plain,
    ( op(op(e1,e3),e3) = e1
    | op(op(e1,e2),e2) = e1
    | epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_625,c_0_626])]) ).

cnf(c_0_629,plain,
    op(e3,e2) != e1,
    inference(rw,[status(thm)],[c_0_627,c_0_488]) ).

cnf(c_0_630,plain,
    op(e4,e3) != op(e4,e2),
    i_0_89 ).

cnf(c_0_631,plain,
    ( op(op(e1,e3),e3) = e1
    | op(e1,e3) = e3
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_628,c_0_558]),c_0_629]) ).

cnf(c_0_632,plain,
    op(e4,e3) != e1,
    inference(rw,[status(thm)],[c_0_630,c_0_488]) ).

cnf(c_0_633,plain,
    ( e1 = unit
    | e3 = unit
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_631,c_0_563]),c_0_632]),c_0_497]) ).

cnf(c_0_634,plain,
    ( epred1_0
    | op(e0,e3) != op(e3,e0)
    | op(e0,e4) != op(e4,e0)
    | op(op(e1,e0),e1) != e0
    | ~ epred2_0 ),
    i_0_279 ).

cnf(c_0_635,plain,
    ( e3 = unit
    | epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_543,c_0_633]),c_0_545])]) ).

cnf(c_0_636,plain,
    ( epred1_0
    | op(e0,e3) != op(e3,e0)
    | op(e4,e0) != op(e0,e4)
    | ~ epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_634,c_0_500]),c_0_494])]) ).

cnf(c_0_637,plain,
    epred2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_546,c_0_635]),c_0_548])]) ).

cnf(c_0_638,plain,
    op(e2,e1) != op(e1,e1),
    i_0_172 ).

cnf(c_0_639,plain,
    ( epred1_0
    | op(e0,e3) != op(e3,e0)
    | op(e4,e0) != op(e0,e4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_636,c_0_637])]) ).

cnf(c_0_640,plain,
    ( op(e2,e0) = e0
    | op(e2,e1) = e0
    | op(e2,e2) = e0
    | op(e2,e3) = e0
    | op(e2,e4) = e0 ),
    i_0_66 ).

cnf(c_0_641,plain,
    op(e2,e1) != e0,
    inference(rw,[status(thm)],[c_0_638,c_0_494]) ).

cnf(c_0_642,plain,
    ( e3 = unit
    | e1 = unit
    | epred1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_639,c_0_503]),c_0_541]),c_0_584]),c_0_527]),c_0_496])]) ).

cnf(c_0_643,negated_conjecture,
    ( op(e2,e0) = e2
    | op(e2,e2) != e0 ),
    i_0_217 ).

cnf(c_0_644,plain,
    ( op(e2,e3) = e0
    | op(e2,e2) = e0
    | op(e2,e0) = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_640,c_0_489]),c_0_641]),c_0_554]) ).

cnf(c_0_645,plain,
    ( op(e0,e1) != op(e1,e0)
    | op(e0,e2) != op(e2,e0)
    | ~ epred1_0 ),
    i_0_254 ).

cnf(c_0_646,plain,
    ( e3 = unit
    | epred1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_543,c_0_642]),c_0_545])]) ).

cnf(c_0_647,negated_conjecture,
    ( op(e2,e3) = e0
    | op(e2,e0) = e0
    | op(e2,e0) = e2 ),
    inference(spm,[status(thm)],[c_0_643,c_0_644]) ).

cnf(c_0_648,plain,
    ( op(e2,e0) != op(e0,e2)
    | op(e0,e1) != e1
    | ~ epred1_0 ),
    inference(rw,[status(thm)],[c_0_645,c_0_500]) ).

cnf(c_0_649,plain,
    epred1_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_546,c_0_646]),c_0_548])]) ).

cnf(c_0_650,plain,
    ( op(e2,e0) = e0
    | op(e2,e3) = e0
    | op(e2,e3) = e4
    | op(e2,e1) = e4 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_619,c_0_647]),c_0_530]) ).

cnf(c_0_651,plain,
    ( op(e2,e0) != op(e0,e2)
    | op(e0,e1) != e1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_648,c_0_649])]) ).

cnf(c_0_652,plain,
    ( op(e2,e3) = e0
    | op(e2,e3) = e4
    | op(e2,e1) = e4 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_619,c_0_650]),c_0_550]) ).

cnf(c_0_653,plain,
    ( e3 = unit
    | e1 = unit ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_651,c_0_503]),c_0_491]),c_0_568]),c_0_586])]) ).

cnf(c_0_654,plain,
    ( op(e2,e3) = e4
    | op(e2,e3) = e0
    | op(e2,e3) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_588,c_0_652]),c_0_511]) ).

cnf(c_0_655,plain,
    e3 = unit,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_543,c_0_653]),c_0_545])]) ).

cnf(c_0_656,plain,
    e0 != e2,
    i_0_195 ).

cnf(c_0_657,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[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_654,c_0_655]),c_0_491]),c_0_655]),c_0_491]),c_0_655]),c_0_491]),c_0_530]),c_0_656]),c_0_522]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : ALG068+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n017.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 20:35:05 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 8.03/2.53  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.03/2.53  # No SInE strategy applied
% 8.03/2.53  # Trying AutoSched0 for 150 seconds
% 8.03/2.53  # AutoSched0-Mode selected heuristic H_____047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S
% 8.03/2.53  # and selection function SelectNewComplexAHP.
% 8.03/2.53  #
% 8.03/2.53  # Preprocessing time       : 0.031 s
% 8.03/2.53  # Presaturation interreduction done
% 8.03/2.53  
% 8.03/2.53  # Proof found!
% 8.03/2.53  # SZS status Theorem
% 8.03/2.53  # SZS output start CNFRefutation
% See solution above
% 8.03/2.53  # Training examples: 0 positive, 0 negative
% 8.03/2.53  
% 8.03/2.53  # -------------------------------------------------
% 8.03/2.53  # User time                : 0.135 s
% 8.03/2.53  # System time              : 0.008 s
% 8.03/2.53  # Total time               : 0.143 s
% 8.03/2.53  # Maximum resident set size: 7120 pages
% 8.03/2.53  
%------------------------------------------------------------------------------