TSTP Solution File: ALG066+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG066+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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 7.95s 2.35s
% Output   : CNFRefutation 7.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   48
% Syntax   : Number of clauses     :  145 (  71 unt;  49 nHn; 145 RR)
%            Number of literals    :  334 ( 286 equ;  93 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   6 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-_9kyjg9q/lgb.p',i_0_199) ).

cnf(i_0_198,plain,
    op(e4,e2) = e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_198) ).

cnf(i_0_220,negated_conjecture,
    ( op(e1,e0) = e1
    | op(e1,e1) != e0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_220) ).

cnf(i_0_120,plain,
    op(e1,e1) != op(e1,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_120) ).

cnf(i_0_123,plain,
    op(e1,e0) != op(e1,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_123) ).

cnf(i_0_142,plain,
    op(e1,e4) != op(e2,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_142) ).

cnf(i_0_197,plain,
    op(e2,e4) = e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_197) ).

cnf(i_0_124,plain,
    op(e1,e0) != op(e1,e3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_124) ).

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-_9kyjg9q/lgb.p',i_0_16) ).

cnf(i_0_26,plain,
    ( unit = e0
    | e1 = unit
    | unit = e2
    | unit = e3
    | unit = e4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_26) ).

cnf(i_0_33,plain,
    op(e1,unit) = e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_33) ).

cnf(i_0_459,plain,
    ( op(e1,e4) = e3
    | op(e1,e3) != e4
    | ~ epred5_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_459) ).

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-_9kyjg9q/lgb.p',i_0_70) ).

cnf(i_0_191,plain,
    e1 != e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_191) ).

cnf(i_0_194,plain,
    e0 != e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_194) ).

cnf(i_0_146,plain,
    op(e1,e4) != op(e0,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_146) ).

cnf(i_0_36,plain,
    op(unit,e0) = e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_36) ).

cnf(i_0_200,negated_conjecture,
    ( epred1_0
    | epred2_0
    | epred3_0
    | epred4_0
    | epred5_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_200) ).

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-_9kyjg9q/lgb.p',i_0_68) ).

cnf(i_0_190,plain,
    e1 != e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_190) ).

cnf(i_0_193,plain,
    e0 != e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_193) ).

cnf(i_0_262,plain,
    ( unit != e0
    | op(e1,e1) != e0
    | ~ epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_262) ).

cnf(i_0_88,plain,
    op(e4,e2) != op(e4,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_88) ).

cnf(i_0_156,plain,
    op(e1,e3) != op(e0,e3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_156) ).

cnf(i_0_28,plain,
    op(unit,e4) = e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_28) ).

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-_9kyjg9q/lgb.p',i_0_43) ).

cnf(i_0_45,plain,
    ( op(e0,e4) = e0
    | op(e1,e4) = e0
    | op(e2,e4) = e0
    | op(e3,e4) = e0
    | op(e4,e4) = e0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_45) ).

cnf(i_0_89,plain,
    op(e4,e3) != op(e4,e2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_89) ).

cnf(i_0_30,plain,
    op(unit,e3) = e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_30) ).

cnf(i_0_188,plain,
    e2 != e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_188) ).

cnf(i_0_138,plain,
    op(e2,e4) != op(e4,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_138) ).

cnf(i_0_196,plain,
    e1 != e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_196) ).

cnf(i_0_383,plain,
    ( op(e4,e3) = e1
    | op(e4,e1) != e3
    | ~ epred4_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_383) ).

cnf(i_0_187,plain,
    e3 != e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_187) ).

cnf(i_0_153,plain,
    op(e0,e3) != op(e4,e3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_153) ).

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-_9kyjg9q/lgb.p',i_0_40) ).

cnf(i_0_205,negated_conjecture,
    ( op(e4,e0) = e4
    | op(e4,e4) != e0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_205) ).

cnf(i_0_329,plain,
    ( op(e4,e2) = e3
    | op(e4,e3) != e2
    | ~ epred3_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_329) ).

cnf(i_0_203,negated_conjecture,
    ( op(e4,e2) = e4
    | op(e4,e4) != e2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_203) ).

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-_9kyjg9q/lgb.p',i_0_42) ).

cnf(i_0_192,plain,
    e1 != e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_192) ).

cnf(i_0_281,plain,
    ( op(e4,e1) = e2
    | op(e4,e2) != e1
    | ~ epred2_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_281) ).

cnf(i_0_189,plain,
    e3 != e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_189) ).

cnf(i_0_211,negated_conjecture,
    ( op(e2,e4) = e2
    | op(e2,e2) != e4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_211) ).

cnf(i_0_27,plain,
    op(e4,unit) = e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_27) ).

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-_9kyjg9q/lgb.p',i_0_58) ).

cnf(i_0_32,plain,
    op(unit,e2) = e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_32) ).

cnf(i_0_34,plain,
    op(unit,e1) = e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_9kyjg9q/lgb.p',i_0_34) ).

cnf(c_0_508,plain,
    op(op(e4,e2),op(e4,e2)) = e0,
    i_0_199 ).

cnf(c_0_509,plain,
    op(e4,e2) = e1,
    i_0_198 ).

cnf(c_0_510,negated_conjecture,
    ( op(e1,e0) = e1
    | op(e1,e1) != e0 ),
    i_0_220 ).

cnf(c_0_511,plain,
    op(e1,e1) = e0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_508,c_0_509]),c_0_509]) ).

cnf(c_0_512,plain,
    op(e1,e1) != op(e1,e4),
    i_0_120 ).

cnf(c_0_513,plain,
    op(e1,e0) != op(e1,e4),
    i_0_123 ).

cnf(c_0_514,negated_conjecture,
    op(e1,e0) = e1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_510,c_0_511])]) ).

cnf(c_0_515,plain,
    op(e1,e4) != op(e2,e4),
    i_0_142 ).

cnf(c_0_516,plain,
    op(e2,e4) = e3,
    i_0_197 ).

cnf(c_0_517,plain,
    op(e1,e0) != op(e1,e3),
    i_0_124 ).

cnf(c_0_518,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_519,plain,
    op(e1,e4) != e0,
    inference(rw,[status(thm)],[c_0_512,c_0_511]) ).

cnf(c_0_520,plain,
    op(e1,e4) != e1,
    inference(rw,[status(thm)],[c_0_513,c_0_514]) ).

cnf(c_0_521,plain,
    op(e1,e4) != e3,
    inference(rw,[status(thm)],[c_0_515,c_0_516]) ).

cnf(c_0_522,plain,
    op(e1,e3) != e1,
    inference(rw,[status(thm)],[c_0_517,c_0_514]) ).

cnf(c_0_523,plain,
    ( unit = e0
    | e1 = unit
    | unit = e2
    | unit = e3
    | unit = e4 ),
    i_0_26 ).

cnf(c_0_524,plain,
    op(e1,unit) = e1,
    i_0_33 ).

cnf(c_0_525,plain,
    ( op(e1,e4) = e3
    | op(e1,e3) != e4
    | ~ epred5_0 ),
    i_0_459 ).

cnf(c_0_526,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_527,plain,
    e1 != e3,
    i_0_191 ).

cnf(c_0_528,plain,
    e0 != e3,
    i_0_194 ).

cnf(c_0_529,plain,
    op(e1,e4) != op(e0,e4),
    i_0_146 ).

cnf(c_0_530,plain,
    ( op(e1,e4) = e4
    | op(e1,e4) = e2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_518,c_0_519]),c_0_520]),c_0_521]) ).

cnf(c_0_531,plain,
    ( e4 = unit
    | e2 = unit
    | e1 = unit
    | e0 = unit ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_522,c_0_523]),c_0_524])]) ).

cnf(c_0_532,plain,
    op(unit,e0) = e0,
    i_0_36 ).

cnf(c_0_533,plain,
    ( op(e1,e3) != e4
    | ~ epred5_0 ),
    inference(sr,[status(thm)],[c_0_525,c_0_521]) ).

cnf(c_0_534,negated_conjecture,
    ( epred1_0
    | epred2_0
    | epred3_0
    | epred4_0
    | epred5_0 ),
    i_0_200 ).

cnf(c_0_535,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_536,plain,
    e1 != e4,
    i_0_190 ).

cnf(c_0_537,plain,
    e0 != e4,
    i_0_193 ).

cnf(c_0_538,plain,
    ( unit != e0
    | op(e1,e1) != e0
    | ~ epred1_0 ),
    i_0_262 ).

cnf(c_0_539,plain,
    op(e4,e2) != op(e4,e4),
    i_0_88 ).

cnf(c_0_540,plain,
    op(e1,e3) != op(e0,e3),
    i_0_156 ).

cnf(c_0_541,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_526,c_0_514]),c_0_511]),c_0_527]),c_0_528]),c_0_521]) ).

cnf(c_0_542,plain,
    ( op(e1,e4) = e2
    | op(e0,e4) != e4 ),
    inference(spm,[status(thm)],[c_0_529,c_0_530]) ).

cnf(c_0_543,negated_conjecture,
    ( e2 = unit
    | e4 = unit
    | e0 = unit ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_514,c_0_531]),c_0_532])]) ).

cnf(c_0_544,plain,
    op(unit,e4) = e4,
    i_0_28 ).

cnf(c_0_545,negated_conjecture,
    ( epred4_0
    | epred3_0
    | epred2_0
    | epred1_0
    | op(e1,e3) != e4 ),
    inference(spm,[status(thm)],[c_0_533,c_0_534]) ).

cnf(c_0_546,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_535,c_0_514]),c_0_511]),c_0_536]),c_0_537]) ).

cnf(c_0_547,plain,
    ( e0 != unit
    | ~ epred1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_538,c_0_511])]) ).

cnf(c_0_548,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_549,plain,
    op(e4,e4) != e1,
    inference(rw,[status(thm)],[c_0_539,c_0_509]) ).

cnf(c_0_550,plain,
    ( op(e0,e4) = e0
    | op(e1,e4) = e0
    | op(e2,e4) = e0
    | op(e3,e4) = e0
    | op(e4,e4) = e0 ),
    i_0_45 ).

cnf(c_0_551,plain,
    op(e4,e3) != op(e4,e2),
    i_0_89 ).

cnf(c_0_552,plain,
    ( op(e1,e2) = e3
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_540,c_0_541]) ).

cnf(c_0_553,plain,
    op(unit,e3) = e3,
    i_0_30 ).

cnf(c_0_554,negated_conjecture,
    ( op(e1,e4) = e2
    | e4 = unit
    | e2 = unit ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_542,c_0_543]),c_0_544])]) ).

cnf(c_0_555,negated_conjecture,
    ( op(e1,e4) = e4
    | op(e1,e2) = e4
    | epred4_0
    | epred3_0
    | epred2_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_545,c_0_546]) ).

cnf(c_0_556,plain,
    e2 != e4,
    i_0_188 ).

cnf(c_0_557,plain,
    ( e4 = unit
    | e2 = unit
    | ~ epred1_0 ),
    inference(spm,[status(thm)],[c_0_547,c_0_543]) ).

cnf(c_0_558,plain,
    op(e2,e4) != op(e4,e4),
    i_0_138 ).

cnf(c_0_559,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_548,c_0_516]),c_0_520]),c_0_527]),c_0_549]) ).

cnf(c_0_560,plain,
    ( op(e4,e4) = e0
    | op(e3,e4) = e0
    | op(e0,e4) = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_550,c_0_516]),c_0_519]),c_0_528]) ).

cnf(c_0_561,plain,
    e1 != e0,
    i_0_196 ).

cnf(c_0_562,plain,
    ( op(e4,e3) = e1
    | op(e4,e1) != e3
    | ~ epred4_0 ),
    i_0_383 ).

cnf(c_0_563,plain,
    op(e4,e3) != e1,
    inference(rw,[status(thm)],[c_0_551,c_0_509]) ).

cnf(c_0_564,negated_conjecture,
    ( op(e1,e2) = e3
    | e4 = unit
    | e2 = unit ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_552,c_0_543]),c_0_553])]) ).

cnf(c_0_565,negated_conjecture,
    ( op(e1,e2) = e4
    | e2 = unit
    | e4 = unit
    | epred4_0
    | epred3_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_554,c_0_555]),c_0_556]),c_0_557]) ).

cnf(c_0_566,plain,
    e3 != e4,
    i_0_187 ).

cnf(c_0_567,plain,
    op(e0,e3) != op(e4,e3),
    i_0_153 ).

cnf(c_0_568,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_569,plain,
    op(e4,e4) != e3,
    inference(rw,[status(thm)],[c_0_558,c_0_516]) ).

cnf(c_0_570,plain,
    ( op(e4,e4) = e0
    | op(e0,e4) = e0
    | op(e0,e4) = e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_559,c_0_560]),c_0_561]) ).

cnf(c_0_571,plain,
    ( op(e4,e1) != e3
    | ~ epred4_0 ),
    inference(sr,[status(thm)],[c_0_562,c_0_563]) ).

cnf(c_0_572,negated_conjecture,
    ( e2 = unit
    | e4 = unit
    | epred4_0
    | epred3_0
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_564,c_0_565]),c_0_566]) ).

cnf(c_0_573,plain,
    ( e4 = unit
    | e2 = unit
    | op(e4,e3) != e3 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_567,c_0_543]),c_0_553]) ).

cnf(c_0_574,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_568,c_0_509]),c_0_527]),c_0_569]) ).

cnf(c_0_575,negated_conjecture,
    ( op(e4,e0) = e4
    | op(e4,e4) != e0 ),
    i_0_205 ).

cnf(c_0_576,negated_conjecture,
    ( op(e4,e4) = unit
    | e2 = unit
    | e4 = unit ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_570,c_0_543]),c_0_544]),c_0_544])]),c_0_536]) ).

cnf(c_0_577,plain,
    ( e4 = unit
    | e2 = unit
    | epred3_0
    | epred2_0
    | op(e4,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_571,c_0_572]) ).

cnf(c_0_578,plain,
    ( op(e4,e1) = e3
    | op(e4,e0) = e3
    | e2 = unit
    | e4 = unit ),
    inference(spm,[status(thm)],[c_0_573,c_0_574]) ).

cnf(c_0_579,plain,
    ( op(e4,e2) = e3
    | op(e4,e3) != e2
    | ~ epred3_0 ),
    i_0_329 ).

cnf(c_0_580,negated_conjecture,
    ( op(e4,e0) = e4
    | e4 = unit
    | e2 = unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_575,c_0_576]),c_0_543]) ).

cnf(c_0_581,plain,
    ( op(e4,e0) = e3
    | e2 = unit
    | e4 = unit
    | epred3_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_577,c_0_578]) ).

cnf(c_0_582,negated_conjecture,
    ( op(e4,e2) = e4
    | op(e4,e4) != e2 ),
    i_0_203 ).

cnf(c_0_583,plain,
    ( op(e4,e3) != e2
    | ~ epred3_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_579,c_0_509]),c_0_527]) ).

cnf(c_0_584,negated_conjecture,
    ( e2 = unit
    | e4 = unit
    | epred3_0
    | epred2_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_580,c_0_581]),c_0_566]) ).

cnf(c_0_585,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_586,plain,
    e1 != e2,
    i_0_192 ).

cnf(c_0_587,negated_conjecture,
    op(e4,e4) != e2,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_582,c_0_509]),c_0_536]) ).

cnf(c_0_588,plain,
    ( op(e4,e1) = e2
    | op(e4,e2) != e1
    | ~ epred2_0 ),
    i_0_281 ).

cnf(c_0_589,plain,
    ( e4 = unit
    | e2 = unit
    | epred2_0
    | op(e4,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_583,c_0_584]) ).

cnf(c_0_590,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_585,c_0_509]),c_0_586]),c_0_587]) ).

cnf(c_0_591,plain,
    ( op(e4,e1) = e2
    | ~ epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_588,c_0_509])]) ).

cnf(c_0_592,plain,
    ( op(e4,e1) = e2
    | op(e4,e0) = e2
    | e2 = unit
    | e4 = unit ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_589,c_0_590]),c_0_591]) ).

cnf(c_0_593,plain,
    e3 != e2,
    i_0_189 ).

cnf(c_0_594,negated_conjecture,
    ( op(e2,e4) = e2
    | op(e2,e2) != e4 ),
    i_0_211 ).

cnf(c_0_595,plain,
    ( op(e4,e0) = e2
    | op(e4,e0) = e3
    | e4 = unit
    | e2 = unit ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_578,c_0_592]),c_0_593]) ).

cnf(c_0_596,plain,
    op(e4,unit) = e4,
    i_0_27 ).

cnf(c_0_597,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_598,negated_conjecture,
    op(e2,e2) != e4,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_594,c_0_516]),c_0_593]) ).

cnf(c_0_599,negated_conjecture,
    ( e2 = unit
    | e4 = unit ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_595,c_0_543]),c_0_596]),c_0_596]),c_0_556]),c_0_566]) ).

cnf(c_0_600,plain,
    op(unit,e2) = e2,
    i_0_32 ).

cnf(c_0_601,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_597,c_0_516]),c_0_598]),c_0_566]) ).

cnf(c_0_602,plain,
    e2 = unit,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_599]),c_0_600]),c_0_586]) ).

cnf(c_0_603,plain,
    op(unit,e1) = e1,
    i_0_34 ).

cnf(c_0_604,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_601,c_0_602]),c_0_532]),c_0_602]),c_0_603]),c_0_602]),c_0_553]),c_0_537]),c_0_536]),c_0_566]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : ALG066+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n018.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 : Tue Jun  7 23:43:08 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 7.95/2.35  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.95/2.35  # No SInE strategy applied
% 7.95/2.35  # Trying AutoSched0 for 150 seconds
% 7.95/2.35  # AutoSched0-Mode selected heuristic H_____047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S
% 7.95/2.35  # and selection function SelectNewComplexAHP.
% 7.95/2.35  #
% 7.95/2.35  # Preprocessing time       : 0.030 s
% 7.95/2.35  # Presaturation interreduction done
% 7.95/2.35  
% 7.95/2.35  # Proof found!
% 7.95/2.35  # SZS status Theorem
% 7.95/2.35  # SZS output start CNFRefutation
% See solution above
% 7.95/2.35  # Training examples: 0 positive, 0 negative
% 7.95/2.35  
% 7.95/2.35  # -------------------------------------------------
% 7.95/2.35  # User time                : 0.071 s
% 7.95/2.35  # System time              : 0.006 s
% 7.95/2.35  # Total time               : 0.077 s
% 7.95/2.35  # Maximum resident set size: 7120 pages
% 7.95/2.35  
%------------------------------------------------------------------------------