TSTP Solution File: ALG065+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG065+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n023.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 9.26s 2.50s
% Output   : CNFRefutation 9.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   43
% Syntax   : Number of clauses     :  128 (  74 unt;  35 nHn; 128 RR)
%            Number of literals    :  274 ( 273 equ; 102 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 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-xhznmj57/input.p',i_0_199) ).

cnf(i_0_198,plain,
    op(e4,e2) = e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_198) ).

cnf(i_0_359,negated_conjecture,
    ( op(e0,op(e0,e0)) != e0
    | op(e1,op(e1,e0)) != e0
    | op(e2,op(e2,e0)) != e0
    | op(e3,op(e3,e0)) != e0
    | op(e4,op(e4,e0)) != e0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_359) ).

cnf(i_0_343,negated_conjecture,
    ( op(e0,op(e0,e0)) = e0
    | op(e1,op(e1,e0)) != e0
    | op(e2,op(e2,e0)) != e0
    | op(e3,op(e3,e0)) != e0
    | op(e4,op(e4,e0)) != e0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_343) ).

cnf(i_0_379,negated_conjecture,
    ( op(e1,e0) = e1
    | op(e1,e1) != e0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_379) ).

cnf(i_0_171,plain,
    op(e1,e1) != op(e3,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_171) ).

cnf(i_0_56,plain,
    ( op(e3,e0) = e0
    | op(e3,e1) = e0
    | op(e3,e2) = e0
    | op(e3,e3) = e0
    | op(e3,e4) = e0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_56) ).

cnf(i_0_369,negated_conjecture,
    ( op(e3,e0) = e3
    | op(e3,e3) != e0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_369) ).

cnf(i_0_362,negated_conjecture,
    ( op(e4,e2) = e4
    | op(e4,e4) != e2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_362) ).

cnf(i_0_190,plain,
    e1 != e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_190) ).

cnf(i_0_88,plain,
    op(e4,e2) != op(e4,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_88) ).

cnf(i_0_138,plain,
    op(e2,e4) != op(e4,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_138) ).

cnf(i_0_197,plain,
    op(e2,e4) = e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_197) ).

cnf(i_0_139,plain,
    op(e3,e4) != op(e2,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_139) ).

cnf(i_0_364,negated_conjecture,
    ( op(e4,e0) = e4
    | op(e4,e4) != e0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_364) ).

cnf(i_0_1,plain,
    ( op(e4,e4) = e0
    | op(e4,e4) = e1
    | op(e4,e4) = e2
    | op(e4,e4) = e3
    | op(e4,e4) = e4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_1) ).

cnf(i_0_157,plain,
    op(e3,e2) != op(e4,e2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_157) ).

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-xhznmj57/input.p',i_0_6) ).

cnf(i_0_370,negated_conjecture,
    ( op(e2,e4) = e2
    | op(e2,e2) != e4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_370) ).

cnf(i_0_189,plain,
    e3 != e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_189) ).

cnf(i_0_158,plain,
    op(e2,e2) != op(e4,e2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_158) ).

cnf(i_0_108,plain,
    op(e2,e2) != op(e2,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_108) ).

cnf(i_0_8,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e1
    | op(e3,e2) = e2
    | op(e3,e2) = e3
    | op(e3,e2) = e4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_8) ).

cnf(i_0_137,plain,
    op(e3,e4) != op(e4,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_137) ).

cnf(i_0_374,negated_conjecture,
    ( op(e2,e0) = e2
    | op(e2,e2) != e0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_374) ).

cnf(i_0_13,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | op(e2,e2) = e4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_13) ).

cnf(i_0_159,plain,
    op(e3,e2) != op(e2,e2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_159) ).

cnf(i_0_27,plain,
    op(e4,unit) = e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_27) ).

cnf(i_0_26,plain,
    ( unit = e0
    | e1 = unit
    | unit = e2
    | unit = e3
    | unit = e4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_26) ).

cnf(i_0_193,plain,
    e0 != e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_193) ).

cnf(i_0_195,plain,
    e0 != e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_195) ).

cnf(i_0_196,plain,
    e1 != e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_196) ).

cnf(i_0_31,plain,
    op(e2,unit) = e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_31) ).

cnf(i_0_93,plain,
    op(e4,e0) != op(e4,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_93) ).

cnf(i_0_194,plain,
    e0 != e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_194) ).

cnf(i_0_115,plain,
    op(e2,e0) != op(e2,e2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_115) ).

cnf(i_0_124,plain,
    op(e1,e0) != op(e1,e3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_124) ).

cnf(i_0_33,plain,
    op(e1,unit) = e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_33) ).

cnf(i_0_176,plain,
    op(e1,e1) != op(e0,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_176) ).

cnf(i_0_35,plain,
    op(e0,unit) = e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_35) ).

cnf(i_0_29,plain,
    op(e3,unit) = e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_29) ).

cnf(i_0_107,plain,
    op(e2,e3) != op(e2,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_107) ).

cnf(i_0_30,plain,
    op(unit,e3) = e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xhznmj57/input.p',i_0_30) ).

cnf(c_0_423,plain,
    op(op(e4,e2),op(e4,e2)) = e0,
    i_0_199 ).

cnf(c_0_424,plain,
    op(e4,e2) = e1,
    i_0_198 ).

cnf(c_0_425,negated_conjecture,
    ( op(e0,op(e0,e0)) != e0
    | op(e1,op(e1,e0)) != e0
    | op(e2,op(e2,e0)) != e0
    | op(e3,op(e3,e0)) != e0
    | op(e4,op(e4,e0)) != e0 ),
    i_0_359 ).

cnf(c_0_426,negated_conjecture,
    ( op(e0,op(e0,e0)) = e0
    | op(e1,op(e1,e0)) != e0
    | op(e2,op(e2,e0)) != e0
    | op(e3,op(e3,e0)) != e0
    | op(e4,op(e4,e0)) != e0 ),
    i_0_343 ).

cnf(c_0_427,negated_conjecture,
    ( op(e1,e0) = e1
    | op(e1,e1) != e0 ),
    i_0_379 ).

cnf(c_0_428,plain,
    op(e1,e1) = e0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_423,c_0_424]),c_0_424]) ).

cnf(c_0_429,plain,
    op(e1,e1) != op(e3,e1),
    i_0_171 ).

cnf(c_0_430,negated_conjecture,
    ( op(e4,op(e4,e0)) != e0
    | op(e2,op(e2,e0)) != e0
    | op(e1,op(e1,e0)) != e0
    | op(e3,op(e3,e0)) != e0 ),
    inference(csr,[status(thm)],[c_0_425,c_0_426]) ).

cnf(c_0_431,negated_conjecture,
    op(e1,e0) = e1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_427,c_0_428])]) ).

cnf(c_0_432,plain,
    ( op(e3,e0) = e0
    | op(e3,e1) = e0
    | op(e3,e2) = e0
    | op(e3,e3) = e0
    | op(e3,e4) = e0 ),
    i_0_56 ).

cnf(c_0_433,plain,
    op(e3,e1) != e0,
    inference(rw,[status(thm)],[c_0_429,c_0_428]) ).

cnf(c_0_434,negated_conjecture,
    ( op(e4,op(e4,e0)) != e0
    | op(e2,op(e2,e0)) != e0
    | op(e3,op(e3,e0)) != e0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_430,c_0_431]),c_0_428])]) ).

cnf(c_0_435,negated_conjecture,
    ( op(e3,e0) = e3
    | op(e3,e3) != e0 ),
    i_0_369 ).

cnf(c_0_436,plain,
    ( op(e3,e0) = e0
    | op(e3,e3) = e0
    | op(e3,e2) = e0
    | op(e3,e4) = e0 ),
    inference(sr,[status(thm)],[c_0_432,c_0_433]) ).

cnf(c_0_437,negated_conjecture,
    ( op(e4,op(e4,e0)) != e0
    | op(e2,op(e2,e0)) != e0
    | op(e3,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_434,c_0_435]) ).

cnf(c_0_438,negated_conjecture,
    ( op(e4,e2) = e4
    | op(e4,e4) != e2 ),
    i_0_362 ).

cnf(c_0_439,plain,
    e1 != e4,
    i_0_190 ).

cnf(c_0_440,plain,
    op(e4,e2) != op(e4,e4),
    i_0_88 ).

cnf(c_0_441,plain,
    op(e2,e4) != op(e4,e4),
    i_0_138 ).

cnf(c_0_442,plain,
    op(e2,e4) = e3,
    i_0_197 ).

cnf(c_0_443,plain,
    op(e3,e4) != op(e2,e4),
    i_0_139 ).

cnf(c_0_444,plain,
    ( op(e3,e2) = e0
    | op(e3,e4) = e0
    | op(e4,op(e4,e0)) != e0
    | op(e2,op(e2,e0)) != e0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_436]),c_0_436]),c_0_437]) ).

cnf(c_0_445,negated_conjecture,
    ( op(e4,e0) = e4
    | op(e4,e4) != e0 ),
    i_0_364 ).

cnf(c_0_446,plain,
    ( op(e4,e4) = e0
    | op(e4,e4) = e1
    | op(e4,e4) = e2
    | op(e4,e4) = e3
    | op(e4,e4) = e4 ),
    i_0_1 ).

cnf(c_0_447,negated_conjecture,
    op(e4,e4) != e2,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_438,c_0_424]),c_0_439]) ).

cnf(c_0_448,plain,
    op(e4,e4) != e1,
    inference(rw,[status(thm)],[c_0_440,c_0_424]) ).

cnf(c_0_449,plain,
    op(e4,e4) != e3,
    inference(rw,[status(thm)],[c_0_441,c_0_442]) ).

cnf(c_0_450,plain,
    op(e3,e2) != op(e4,e2),
    i_0_157 ).

cnf(c_0_451,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_452,plain,
    op(e3,e4) != e3,
    inference(rw,[status(thm)],[c_0_443,c_0_442]) ).

cnf(c_0_453,negated_conjecture,
    ( op(e3,e4) = e0
    | op(e3,e2) = e0
    | op(e2,op(e2,e0)) != e0
    | op(e4,e4) != e0 ),
    inference(spm,[status(thm)],[c_0_444,c_0_445]) ).

cnf(c_0_454,plain,
    ( op(e4,e4) = e0
    | op(e4,e4) = e4 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_446,c_0_447]),c_0_448]),c_0_449]) ).

cnf(c_0_455,negated_conjecture,
    ( op(e2,e4) = e2
    | op(e2,e2) != e4 ),
    i_0_370 ).

cnf(c_0_456,plain,
    e3 != e2,
    i_0_189 ).

cnf(c_0_457,plain,
    op(e2,e2) != op(e4,e2),
    i_0_158 ).

cnf(c_0_458,plain,
    op(e2,e2) != op(e2,e4),
    i_0_108 ).

cnf(c_0_459,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e1
    | op(e3,e2) = e2
    | op(e3,e2) = e3
    | op(e3,e2) = e4 ),
    i_0_8 ).

cnf(c_0_460,plain,
    op(e3,e2) != e1,
    inference(rw,[status(thm)],[c_0_450,c_0_424]) ).

cnf(c_0_461,plain,
    op(e3,e4) != op(e4,e4),
    i_0_137 ).

cnf(c_0_462,plain,
    ( op(e3,e4) = e0
    | op(e3,e4) = e1
    | op(e3,e4) = e2
    | op(e3,e4) = e4 ),
    inference(sr,[status(thm)],[c_0_451,c_0_452]) ).

cnf(c_0_463,plain,
    ( op(e4,e4) = e4
    | op(e3,e2) = e0
    | op(e3,e4) = e0
    | op(e2,op(e2,e0)) != e0 ),
    inference(spm,[status(thm)],[c_0_453,c_0_454]) ).

cnf(c_0_464,negated_conjecture,
    ( op(e2,e0) = e2
    | op(e2,e2) != e0 ),
    i_0_374 ).

cnf(c_0_465,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | op(e2,e2) = e4 ),
    i_0_13 ).

cnf(c_0_466,negated_conjecture,
    op(e2,e2) != e4,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_455,c_0_442]),c_0_456]) ).

cnf(c_0_467,plain,
    op(e2,e2) != e1,
    inference(rw,[status(thm)],[c_0_457,c_0_424]) ).

cnf(c_0_468,plain,
    op(e2,e2) != e3,
    inference(rw,[status(thm)],[c_0_458,c_0_442]) ).

cnf(c_0_469,plain,
    op(e3,e2) != op(e2,e2),
    i_0_159 ).

cnf(c_0_470,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e3
    | op(e3,e2) = e2
    | op(e3,e2) = e4 ),
    inference(sr,[status(thm)],[c_0_459,c_0_460]) ).

cnf(c_0_471,plain,
    ( op(e3,e4) = e1
    | op(e3,e4) = e2
    | op(e3,e4) = e4
    | op(e4,e4) != e0 ),
    inference(spm,[status(thm)],[c_0_461,c_0_462]) ).

cnf(c_0_472,negated_conjecture,
    ( op(e3,e4) = e0
    | op(e3,e2) = e0
    | op(e4,e4) = e4
    | op(e2,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_463,c_0_464]) ).

cnf(c_0_473,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_465,c_0_466]),c_0_467]),c_0_468]) ).

cnf(c_0_474,plain,
    op(e4,unit) = e4,
    i_0_27 ).

cnf(c_0_475,plain,
    ( unit = e0
    | e1 = unit
    | unit = e2
    | unit = e3
    | unit = e4 ),
    i_0_26 ).

cnf(c_0_476,plain,
    ( op(e3,e2) = e3
    | op(e3,e2) = e2
    | op(e3,e2) = e4
    | op(e2,e2) != e0 ),
    inference(spm,[status(thm)],[c_0_469,c_0_470]) ).

cnf(c_0_477,plain,
    ( op(e4,e4) = e4
    | op(e3,e4) = e4
    | op(e3,e4) = e2
    | op(e3,e4) = e1 ),
    inference(spm,[status(thm)],[c_0_471,c_0_454]) ).

cnf(c_0_478,plain,
    ( op(e2,e2) = e2
    | op(e4,e4) = e4
    | op(e3,e2) = e0
    | op(e3,e4) = e0 ),
    inference(spm,[status(thm)],[c_0_472,c_0_473]) ).

cnf(c_0_479,plain,
    e0 != e4,
    i_0_193 ).

cnf(c_0_480,plain,
    e0 != e2,
    i_0_195 ).

cnf(c_0_481,plain,
    e1 != e0,
    i_0_196 ).

cnf(c_0_482,plain,
    op(e2,unit) = e2,
    i_0_31 ).

cnf(c_0_483,plain,
    op(e4,e0) != op(e4,e4),
    i_0_93 ).

cnf(c_0_484,plain,
    ( op(e4,e0) = e4
    | unit = e3
    | unit = e1
    | unit = e2
    | unit = e4 ),
    inference(spm,[status(thm)],[c_0_474,c_0_475]) ).

cnf(c_0_485,plain,
    ( op(e2,e2) = e2
    | op(e3,e2) = e4
    | op(e3,e2) = e2
    | op(e3,e2) = e3 ),
    inference(spm,[status(thm)],[c_0_476,c_0_473]) ).

cnf(c_0_486,plain,
    ( op(e3,e2) = e0
    | op(e2,e2) = e2
    | op(e4,e4) = e4 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_478]),c_0_479]),c_0_480]),c_0_481]) ).

cnf(c_0_487,plain,
    e0 != e3,
    i_0_194 ).

cnf(c_0_488,plain,
    op(e2,e0) != op(e2,e2),
    i_0_115 ).

cnf(c_0_489,plain,
    ( op(e2,e0) = e2
    | unit = e3
    | unit = e1
    | unit = e2
    | unit = e4 ),
    inference(spm,[status(thm)],[c_0_482,c_0_475]) ).

cnf(c_0_490,plain,
    ( unit = e4
    | unit = e2
    | unit = e1
    | unit = e3
    | op(e4,e4) != e4 ),
    inference(spm,[status(thm)],[c_0_483,c_0_484]) ).

cnf(c_0_491,plain,
    ( op(e4,e4) = e4
    | op(e2,e2) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_485,c_0_486]),c_0_479]),c_0_480]),c_0_487]) ).

cnf(c_0_492,plain,
    ( unit = e4
    | unit = e2
    | unit = e1
    | unit = e3
    | op(e2,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_488,c_0_489]) ).

cnf(c_0_493,plain,
    op(e1,e0) != op(e1,e3),
    i_0_124 ).

cnf(c_0_494,plain,
    op(e1,unit) = e1,
    i_0_33 ).

cnf(c_0_495,plain,
    ( unit = e3
    | unit = e1
    | unit = e2
    | unit = e4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_490,c_0_491]),c_0_492]) ).

cnf(c_0_496,plain,
    op(e1,e3) != e1,
    inference(rw,[status(thm)],[c_0_493,c_0_431]) ).

cnf(c_0_497,plain,
    op(e1,e1) != op(e0,e1),
    i_0_176 ).

cnf(c_0_498,plain,
    op(e0,unit) = e0,
    i_0_35 ).

cnf(c_0_499,plain,
    ( unit = e4
    | unit = e2
    | unit = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_494,c_0_495]),c_0_496]) ).

cnf(c_0_500,plain,
    op(e0,e1) != e0,
    inference(rw,[status(thm)],[c_0_497,c_0_428]) ).

cnf(c_0_501,plain,
    op(e3,unit) = e3,
    i_0_29 ).

cnf(c_0_502,plain,
    ( unit = e2
    | unit = e4 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_498,c_0_499]),c_0_500]) ).

cnf(c_0_503,plain,
    op(e2,e3) != op(e2,e4),
    i_0_107 ).

cnf(c_0_504,plain,
    op(unit,e3) = e3,
    i_0_30 ).

cnf(c_0_505,plain,
    unit = e2,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_502]),c_0_452]) ).

cnf(c_0_506,plain,
    op(e2,e3) != e3,
    inference(rw,[status(thm)],[c_0_503,c_0_442]) ).

cnf(c_0_507,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_504,c_0_505]),c_0_506]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ALG065+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n023.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 02:27:25 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 9.26/2.50  # ENIGMATIC: Solved by autoschedule:
% 9.26/2.50  # No SInE strategy applied
% 9.26/2.50  # Trying AutoSched0 for 150 seconds
% 9.26/2.50  # AutoSched0-Mode selected heuristic G_E___107_C12_11_nc_F1_PI_AE_Q4_CS_SP_PS_S04CN
% 9.26/2.50  # and selection function MSelectComplexExceptUniqMaxHorn.
% 9.26/2.50  #
% 9.26/2.50  # Preprocessing time       : 0.032 s
% 9.26/2.50  # Presaturation interreduction done
% 9.26/2.50  
% 9.26/2.50  # Proof found!
% 9.26/2.50  # SZS status Theorem
% 9.26/2.50  # SZS output start CNFRefutation
% See solution above
% 9.26/2.50  # Training examples: 0 positive, 0 negative
% 9.26/2.50  
% 9.26/2.50  # -------------------------------------------------
% 9.26/2.50  # User time                : 0.158 s
% 9.26/2.50  # System time              : 0.012 s
% 9.26/2.50  # Total time               : 0.170 s
% 9.26/2.50  # Maximum resident set size: 7120 pages
% 9.26/2.50  
%------------------------------------------------------------------------------