TSTP Solution File: ALG067+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG067+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.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 6.79s 2.25s
% Output   : CNFRefutation 6.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   51
% Syntax   : Number of clauses     :  152 (  66 unt;  53 nHn; 152 RR)
%            Number of literals    :  354 ( 250 equ; 128 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_139,plain,
    op(e3,e4) != op(e2,e4),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_139) ).

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

cnf(i_0_199,plain,
    op(op(e4,e2),op(e4,e2)) = e0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_199) ).

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

cnf(i_0_201,negated_conjecture,
    ( op(e4,e4) = e4
    | epred8_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_201) ).

cnf(i_0_200,negated_conjecture,
    ( epred8_0
    | op(e4,e4) != e4 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_200) ).

cnf(i_0_212,negated_conjecture,
    ( op(e2,e4) = e2
    | op(e2,e2) != e4 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_212) ).

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

cnf(i_0_207,negated_conjecture,
    ( op(e3,e4) = e3
    | op(e3,e3) != e4 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_207) ).

cnf(i_0_393,plain,
    ( op(e1,e1) = e4
    | op(e2,e2) = e4
    | op(e3,e3) = e4
    | epred7_0
    | ~ epred8_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_393) ).

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

cnf(i_0_379,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e4
    | op(e4,e4) = e0
    | epred6_0
    | ~ epred7_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_379) ).

cnf(i_0_368,plain,
    ( op(e3,e3) = e4
    | epred6_0
    | op(e3,e3) != e3
    | op(e4,e0) != e4
    | ~ epred7_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_368) ).

cnf(i_0_108,plain,
    op(e2,e2) != op(e2,e4),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_108) ).

cnf(i_0_370,plain,
    ( op(e3,e3) = e4
    | op(e4,e4) = e0
    | epred6_0
    | op(e3,e3) != e3
    | ~ epred7_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_370) ).

cnf(i_0_377,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e4
    | epred6_0
    | op(e4,e0) != e4
    | ~ epred7_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_377) ).

cnf(i_0_348,plain,
    ( op(e0,e0) = e3
    | op(e1,e1) = e3
    | op(e2,e2) = e3
    | epred5_0
    | ~ epred6_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_348) ).

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

cnf(i_0_206,negated_conjecture,
    ( op(e4,e0) = e4
    | op(e4,e4) != e0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_206) ).

cnf(i_0_223,negated_conjecture,
    ( op(e0,e3) = e0
    | op(e0,e0) != e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_223) ).

cnf(i_0_325,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e4
    | epred4_0
    | op(e2,e2) != e2
    | ~ epred5_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_325) ).

cnf(i_0_357,plain,
    ( op(e1,e1) = e3
    | op(e2,e2) = e3
    | op(e3,e3) = e0
    | epred5_0
    | ~ epred6_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_357) ).

cnf(i_0_154,plain,
    op(e0,e3) != op(e3,e3),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_154) ).

cnf(i_0_334,plain,
    ( op(e2,e2) = e2
    | op(e2,e2) = e3
    | op(e2,e2) = e4
    | epred4_0
    | ~ epred5_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_334) ).

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

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

cnf(i_0_309,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e4
    | epred3_0
    | op(e2,e0) != e2
    | ~ epred4_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_309) ).

cnf(i_0_221,negated_conjecture,
    ( op(e1,e0) = e1
    | op(e1,e1) != e0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_221) ).

cnf(i_0_107,plain,
    op(e2,e3) != op(e2,e4),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_107) ).

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

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

cnf(i_0_186,plain,
    op(e1,e0) != op(e0,e0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_186) ).

cnf(i_0_289,plain,
    ( op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3
    | epred2_0
    | ~ epred3_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_289) ).

cnf(i_0_196,plain,
    e1 != e0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_196) ).

cnf(i_0_216,negated_conjecture,
    ( op(e2,e0) = e2
    | op(e2,e2) != e0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_216) ).

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

cnf(i_0_270,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e3
    | op(e0,e0) = e4
    | epred1_0
    | ~ epred2_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_270) ).

cnf(i_0_36,plain,
    op(unit,e0) = e0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_36) ).

cnf(i_0_183,plain,
    op(e0,e0) != op(e4,e0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_183) ).

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

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

cnf(i_0_222,negated_conjecture,
    ( op(e0,e4) = e0
    | op(e0,e0) != e4 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_222) ).

cnf(i_0_184,plain,
    op(e0,e0) != op(e3,e0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_184) ).

cnf(i_0_244,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e1
    | op(e0,e0) = e2
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_244) ).

cnf(i_0_235,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e0) != e0
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_235) ).

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

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

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

cnf(i_0_242,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e1
    | op(e0,e2) != e0
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_242) ).

cnf(i_0_233,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) != e0
    | op(e0,e2) != e0
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_233) ).

cnf(i_0_224,negated_conjecture,
    ( op(e0,e2) = e0
    | op(e0,e0) != e2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fgcd_nfu/lgb.p',i_0_224) ).

cnf(c_0_445,plain,
    op(e3,e4) != op(e2,e4),
    i_0_139 ).

cnf(c_0_446,plain,
    op(e2,e4) = e3,
    i_0_197 ).

cnf(c_0_447,plain,
    op(op(e4,e2),op(e4,e2)) = e0,
    i_0_199 ).

cnf(c_0_448,plain,
    op(e4,e2) = e1,
    i_0_198 ).

cnf(c_0_449,negated_conjecture,
    ( op(e4,e4) = e4
    | epred8_0 ),
    i_0_201 ).

cnf(c_0_450,negated_conjecture,
    ( epred8_0
    | op(e4,e4) != e4 ),
    i_0_200 ).

cnf(c_0_451,negated_conjecture,
    ( op(e2,e4) = e2
    | op(e2,e2) != e4 ),
    i_0_212 ).

cnf(c_0_452,plain,
    e3 != e2,
    i_0_189 ).

cnf(c_0_453,negated_conjecture,
    ( op(e3,e4) = e3
    | op(e3,e3) != e4 ),
    i_0_207 ).

cnf(c_0_454,plain,
    op(e3,e4) != e3,
    inference(rw,[status(thm)],[c_0_445,c_0_446]) ).

cnf(c_0_455,plain,
    ( op(e1,e1) = e4
    | op(e2,e2) = e4
    | op(e3,e3) = e4
    | epred7_0
    | ~ epred8_0 ),
    i_0_393 ).

cnf(c_0_456,plain,
    op(e1,e1) = e0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_447,c_0_448]),c_0_448]) ).

cnf(c_0_457,negated_conjecture,
    epred8_0,
    inference(csr,[status(thm)],[c_0_449,c_0_450]) ).

cnf(c_0_458,plain,
    e0 != e4,
    i_0_193 ).

cnf(c_0_459,negated_conjecture,
    op(e2,e2) != e4,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_451,c_0_446]),c_0_452]) ).

cnf(c_0_460,negated_conjecture,
    op(e3,e3) != e4,
    inference(sr,[status(thm)],[c_0_453,c_0_454]) ).

cnf(c_0_461,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e4
    | op(e4,e4) = e0
    | epred6_0
    | ~ epred7_0 ),
    i_0_379 ).

cnf(c_0_462,plain,
    epred7_0,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_455,c_0_456]),c_0_457])]),c_0_458]),c_0_459]),c_0_460]) ).

cnf(c_0_463,plain,
    ( op(e3,e3) = e4
    | epred6_0
    | op(e3,e3) != e3
    | op(e4,e0) != e4
    | ~ epred7_0 ),
    i_0_368 ).

cnf(c_0_464,plain,
    op(e2,e2) != op(e2,e4),
    i_0_108 ).

cnf(c_0_465,plain,
    ( op(e3,e3) = e4
    | op(e4,e4) = e0
    | epred6_0
    | op(e3,e3) != e3
    | ~ epred7_0 ),
    i_0_370 ).

cnf(c_0_466,plain,
    ( op(e4,e4) = e0
    | op(e3,e3) = e3
    | epred6_0 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_461,c_0_462])]),c_0_460]) ).

cnf(c_0_467,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e4
    | epred6_0
    | op(e4,e0) != e4
    | ~ epred7_0 ),
    i_0_377 ).

cnf(c_0_468,plain,
    ( epred6_0
    | op(e3,e3) != e3
    | op(e4,e0) != e4 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_463,c_0_462])]),c_0_460]) ).

cnf(c_0_469,plain,
    ( op(e0,e0) = e3
    | op(e1,e1) = e3
    | op(e2,e2) = e3
    | epred5_0
    | ~ epred6_0 ),
    i_0_348 ).

cnf(c_0_470,plain,
    e0 != e3,
    i_0_194 ).

cnf(c_0_471,plain,
    op(e2,e2) != e3,
    inference(rw,[status(thm)],[c_0_464,c_0_446]) ).

cnf(c_0_472,negated_conjecture,
    ( op(e4,e0) = e4
    | op(e4,e4) != e0 ),
    i_0_206 ).

cnf(c_0_473,plain,
    ( op(e4,e4) = e0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_465,c_0_462])]),c_0_460]),c_0_466]) ).

cnf(c_0_474,plain,
    ( epred6_0
    | op(e4,e0) != e4 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_467,c_0_462])]),c_0_460]),c_0_468]) ).

cnf(c_0_475,plain,
    ( op(e0,e0) = e3
    | epred5_0
    | ~ epred6_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_469,c_0_456]),c_0_470]),c_0_471]) ).

cnf(c_0_476,negated_conjecture,
    epred6_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_472,c_0_473]),c_0_474]) ).

cnf(c_0_477,negated_conjecture,
    ( op(e0,e3) = e0
    | op(e0,e0) != e3 ),
    i_0_223 ).

cnf(c_0_478,plain,
    ( op(e0,e0) = e3
    | epred5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_475,c_0_476])]) ).

cnf(c_0_479,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e4
    | epred4_0
    | op(e2,e2) != e2
    | ~ epred5_0 ),
    i_0_325 ).

cnf(c_0_480,plain,
    ( op(e1,e1) = e3
    | op(e2,e2) = e3
    | op(e3,e3) = e0
    | epred5_0
    | ~ epred6_0 ),
    i_0_357 ).

cnf(c_0_481,plain,
    op(e0,e3) != op(e3,e3),
    i_0_154 ).

cnf(c_0_482,negated_conjecture,
    ( op(e0,e3) = e0
    | epred5_0 ),
    inference(spm,[status(thm)],[c_0_477,c_0_478]) ).

cnf(c_0_483,plain,
    ( op(e2,e2) = e2
    | op(e2,e2) = e3
    | op(e2,e2) = e4
    | epred4_0
    | ~ epred5_0 ),
    i_0_334 ).

cnf(c_0_484,plain,
    ( epred4_0
    | op(e2,e2) != e2
    | ~ epred5_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_479,c_0_471]),c_0_459]) ).

cnf(c_0_485,plain,
    ( op(e3,e3) = e0
    | epred5_0
    | ~ epred6_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_480,c_0_456]),c_0_470]),c_0_471]) ).

cnf(c_0_486,plain,
    ( epred5_0
    | op(e3,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_481,c_0_482]) ).

cnf(c_0_487,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e4
    | op(e2,e2) = e0
    | epred3_0
    | ~ epred4_0 ),
    i_0_315 ).

cnf(c_0_488,plain,
    e0 != e2,
    i_0_195 ).

cnf(c_0_489,plain,
    ( epred4_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_483,c_0_471]),c_0_459]),c_0_484]) ).

cnf(c_0_490,plain,
    epred5_0,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_485,c_0_476])]),c_0_486]) ).

cnf(c_0_491,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e4
    | epred3_0
    | op(e2,e0) != e2
    | ~ epred4_0 ),
    i_0_309 ).

cnf(c_0_492,negated_conjecture,
    ( op(e1,e0) = e1
    | op(e1,e1) != e0 ),
    i_0_221 ).

cnf(c_0_493,plain,
    ( op(e2,e2) = e0
    | epred3_0
    | ~ epred4_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_487,c_0_456]),c_0_456]),c_0_488]),c_0_458]) ).

cnf(c_0_494,plain,
    epred4_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_489,c_0_490])]) ).

cnf(c_0_495,plain,
    ( epred3_0
    | op(e2,e0) != e2
    | ~ epred4_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_491,c_0_456]),c_0_456]),c_0_488]),c_0_458]) ).

cnf(c_0_496,plain,
    op(e2,e3) != op(e2,e4),
    i_0_107 ).

cnf(c_0_497,plain,
    ( unit = e0
    | e1 = unit
    | unit = e2
    | unit = e3
    | unit = e4 ),
    i_0_26 ).

cnf(c_0_498,plain,
    op(e3,unit) = e3,
    i_0_29 ).

cnf(c_0_499,plain,
    op(e1,e0) != op(e0,e0),
    i_0_186 ).

cnf(c_0_500,negated_conjecture,
    op(e1,e0) = e1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_492,c_0_456])]) ).

cnf(c_0_501,plain,
    ( op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3
    | epred2_0
    | ~ epred3_0 ),
    i_0_289 ).

cnf(c_0_502,plain,
    e1 != e0,
    i_0_196 ).

cnf(c_0_503,negated_conjecture,
    ( op(e2,e0) = e2
    | op(e2,e2) != e0 ),
    i_0_216 ).

cnf(c_0_504,plain,
    ( op(e2,e2) = e0
    | epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_493,c_0_494])]) ).

cnf(c_0_505,plain,
    ( epred3_0
    | op(e2,e0) != e2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_495,c_0_494])]) ).

cnf(c_0_506,plain,
    op(e2,e3) != e3,
    inference(rw,[status(thm)],[c_0_496,c_0_446]) ).

cnf(c_0_507,plain,
    ( e3 = unit
    | e2 = unit
    | e1 = unit
    | e0 = unit ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_454,c_0_497]),c_0_498])]) ).

cnf(c_0_508,plain,
    op(unit,e3) = e3,
    i_0_30 ).

cnf(c_0_509,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e3
    | op(e0,e0) = e4
    | epred1_0
    | ~ epred2_0 ),
    i_0_270 ).

cnf(c_0_510,plain,
    op(e0,e0) != e1,
    inference(rw,[status(thm)],[c_0_499,c_0_500]) ).

cnf(c_0_511,plain,
    ( epred2_0
    | ~ epred3_0 ),
    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_501,c_0_456]),c_0_456]),c_0_456]),c_0_502]),c_0_488]),c_0_470]) ).

cnf(c_0_512,negated_conjecture,
    epred3_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_504]),c_0_505]) ).

cnf(c_0_513,plain,
    ( e0 = unit
    | e1 = unit
    | e3 = unit ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_506,c_0_507]),c_0_508])]) ).

cnf(c_0_514,plain,
    op(unit,e0) = e0,
    i_0_36 ).

cnf(c_0_515,plain,
    ( op(e0,e0) = e4
    | op(e0,e0) = e3
    | epred1_0
    | ~ epred2_0 ),
    inference(sr,[status(thm)],[c_0_509,c_0_510]) ).

cnf(c_0_516,plain,
    epred2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_511,c_0_512])]) ).

cnf(c_0_517,plain,
    op(e0,e0) != op(e4,e0),
    i_0_183 ).

cnf(c_0_518,negated_conjecture,
    ( e3 = unit
    | e0 = unit ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_513]),c_0_514])]) ).

cnf(c_0_519,plain,
    op(e4,unit) = e4,
    i_0_27 ).

cnf(c_0_520,plain,
    op(e0,unit) = e0,
    i_0_35 ).

cnf(c_0_521,negated_conjecture,
    ( op(e0,e4) = e0
    | op(e0,e0) != e4 ),
    i_0_222 ).

cnf(c_0_522,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e4
    | epred1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_515,c_0_516])]) ).

cnf(c_0_523,plain,
    ( e3 = unit
    | op(unit,unit) != e4 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_517,c_0_518]),c_0_519]) ).

cnf(c_0_524,plain,
    ( op(unit,unit) = unit
    | e3 = unit ),
    inference(spm,[status(thm)],[c_0_520,c_0_518]) ).

cnf(c_0_525,plain,
    op(e0,e0) != op(e3,e0),
    i_0_184 ).

cnf(c_0_526,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e1
    | op(e0,e0) = e2
    | ~ epred1_0 ),
    i_0_244 ).

cnf(c_0_527,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e0) != e0
    | ~ epred1_0 ),
    i_0_235 ).

cnf(c_0_528,plain,
    op(e1,e0) != op(e1,e3),
    i_0_124 ).

cnf(c_0_529,negated_conjecture,
    ( op(e0,e0) = e3
    | op(e0,e4) = e0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_521,c_0_522]) ).

cnf(c_0_530,plain,
    op(unit,e4) = e4,
    i_0_28 ).

cnf(c_0_531,plain,
    ( e3 = unit
    | e4 != unit ),
    inference(spm,[status(thm)],[c_0_523,c_0_524]) ).

cnf(c_0_532,plain,
    ( e3 = unit
    | op(unit,unit) != e3 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_525,c_0_518]),c_0_498]) ).

cnf(c_0_533,plain,
    ( op(e0,e0) = e2
    | op(e0,e0) = e1
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[c_0_526,c_0_527]) ).

cnf(c_0_534,plain,
    op(e1,e3) != e1,
    inference(rw,[status(thm)],[c_0_528,c_0_500]) ).

cnf(c_0_535,negated_conjecture,
    ( e3 = unit
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_529,c_0_518]),c_0_530]),c_0_531]),c_0_532]) ).

cnf(c_0_536,plain,
    op(e1,unit) = e1,
    i_0_33 ).

cnf(c_0_537,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e1
    | op(e0,e2) != e0
    | ~ epred1_0 ),
    i_0_242 ).

cnf(c_0_538,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) != e0
    | op(e0,e2) != e0
    | ~ epred1_0 ),
    i_0_233 ).

cnf(c_0_539,plain,
    ( op(e0,e0) = e2
    | ~ epred1_0 ),
    inference(sr,[status(thm)],[c_0_533,c_0_510]) ).

cnf(c_0_540,plain,
    epred1_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_534,c_0_535]),c_0_536])]) ).

cnf(c_0_541,plain,
    ( op(e0,e0) = e1
    | op(e0,e2) != e0
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[c_0_537,c_0_538]) ).

cnf(c_0_542,negated_conjecture,
    ( op(e0,e2) = e0
    | op(e0,e0) != e2 ),
    i_0_224 ).

cnf(c_0_543,plain,
    op(e0,e0) = e2,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_539,c_0_540])]) ).

cnf(c_0_544,plain,
    op(e0,e2) != e0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_541,c_0_540])]),c_0_510]) ).

cnf(c_0_545,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_542,c_0_543])]),c_0_544]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ALG067+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 : n025.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 00:46:21 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 6.79/2.25  # ENIGMATIC: Solved by autoschedule-lgb:
% 6.79/2.25  # No SInE strategy applied
% 6.79/2.25  # Trying AutoSched0 for 150 seconds
% 6.79/2.25  # AutoSched0-Mode selected heuristic H_____047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S
% 6.79/2.25  # and selection function SelectNewComplexAHP.
% 6.79/2.25  #
% 6.79/2.25  # Preprocessing time       : 0.030 s
% 6.79/2.25  # Presaturation interreduction done
% 6.79/2.25  
% 6.79/2.25  # Proof found!
% 6.79/2.25  # SZS status Theorem
% 6.79/2.25  # SZS output start CNFRefutation
% See solution above
% 6.79/2.25  # Training examples: 0 positive, 0 negative
% 6.79/2.25  
% 6.79/2.25  # -------------------------------------------------
% 6.79/2.25  # User time                : 0.051 s
% 6.79/2.25  # System time              : 0.009 s
% 6.79/2.25  # Total time               : 0.059 s
% 6.79/2.25  # Maximum resident set size: 7128 pages
% 6.79/2.25  
%------------------------------------------------------------------------------