TSTP Solution File: ALG061+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG061+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 14:51:33 EDT 2022
% Result : Theorem 8.86s 2.55s
% Output : CNFRefutation 8.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 62
% Syntax : Number of clauses : 194 ( 113 unt; 76 nHn; 194 RR)
% Number of literals : 426 ( 425 equ; 105 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 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(e1,e1),op(e1,e1)) = e2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_199) ).
cnf(i_0_197,plain,
op(e1,e1) = e4,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_197) ).
cnf(i_0_200,plain,
op(e1,op(op(e1,e1),op(e1,e1))) = e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_200) ).
cnf(i_0_162,plain,
op(e2,e2) != op(e1,e2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_162) ).
cnf(i_0_365,negated_conjecture,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_365) ).
cnf(i_0_193,plain,
e4 != e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_193) ).
cnf(i_0_195,plain,
e2 != e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_195) ).
cnf(i_0_154,plain,
op(e3,e3) != op(e0,e3),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_154) ).
cnf(i_0_134,plain,
op(e0,e3) != op(e0,e0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_134) ).
cnf(i_0_26,plain,
( unit = e0
| unit = e1
| e2 = unit
| e3 = unit
| e4 = unit ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_26) ).
cnf(i_0_35,plain,
op(e0,unit) = e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_35) ).
cnf(i_0_33,plain,
op(e1,unit) = e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_33) ).
cnf(i_0_196,plain,
e0 != e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_196) ).
cnf(i_0_137,plain,
op(e4,e4) != op(e3,e4),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_137) ).
cnf(i_0_364,negated_conjecture,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_364) ).
cnf(i_0_190,plain,
e4 != e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_190) ).
cnf(i_0_192,plain,
e2 != e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_192) ).
cnf(i_0_198,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = e3,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_198) ).
cnf(i_0_161,plain,
op(e3,e2) != op(e1,e2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_161) ).
cnf(i_0_103,plain,
op(e3,e4) != op(e3,e0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_103) ).
cnf(i_0_29,plain,
op(e3,unit) = e3,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_29) ).
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-_bjhcdm_/input.p',i_0_6) ).
cnf(i_0_191,plain,
e3 != e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_191) ).
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-_bjhcdm_/input.p',i_0_56) ).
cnf(i_0_30,plain,
op(unit,e3) = e3,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_30) ).
cnf(i_0_63,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_63) ).
cnf(i_0_97,plain,
op(e3,e4) != op(e3,e3),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_97) ).
cnf(i_0_186,plain,
op(e0,e0) != op(e1,e0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_186) ).
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-_bjhcdm_/input.p',i_0_8) ).
cnf(i_0_159,plain,
op(e3,e2) != op(e2,e2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_159) ).
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-_bjhcdm_/input.p',i_0_40) ).
cnf(i_0_189,plain,
e3 != e2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_189) ).
cnf(i_0_158,plain,
op(e4,e2) != op(e2,e2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_158) ).
cnf(i_0_99,plain,
op(e3,e3) != op(e3,e2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_99) ).
cnf(i_0_281,negated_conjecture,
( op(e2,op(e1,e2)) = e1
| op(e2,op(e2,e2)) = e2
| op(e2,op(e3,e2)) = e3
| op(e2,op(e4,e2)) = e4
| op(e0,op(e0,e2)) != e2 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_281) ).
cnf(i_0_160,plain,
op(e4,e2) != op(e1,e2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_160) ).
cnf(i_0_88,plain,
op(e4,e4) != op(e4,e2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_88) ).
cnf(i_0_93,plain,
op(e4,e4) != op(e4,e0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_93) ).
cnf(i_0_153,plain,
op(e4,e3) != op(e0,e3),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_153) ).
cnf(i_0_101,plain,
op(e3,e3) != op(e3,e1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_101) ).
cnf(i_0_285,negated_conjecture,
( op(e2,op(e1,e2)) = e1
| op(e2,op(e3,e2)) = e3
| op(e2,op(e4,e2)) = e4
| op(e0,op(e0,e2)) != e2
| op(e2,op(e2,e2)) != e2 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_285) ).
cnf(i_0_164,plain,
op(e3,e2) != op(e0,e2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_164) ).
cnf(i_0_3,plain,
( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_3) ).
cnf(i_0_5,plain,
( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_5) ).
cnf(i_0_32,plain,
op(unit,e2) = e2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_32) ).
cnf(i_0_31,plain,
op(e2,unit) = e2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_31) ).
cnf(i_0_108,plain,
op(e2,e4) != op(e2,e2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_108) ).
cnf(i_0_96,plain,
op(e4,e0) != op(e4,e1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_96) ).
cnf(i_0_27,plain,
op(e4,unit) = e4,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_27) ).
cnf(i_0_187,plain,
e4 != e3,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_187) ).
cnf(i_0_95,plain,
op(e4,e2) != op(e4,e0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_95) ).
cnf(i_0_183,plain,
op(e4,e0) != op(e0,e0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_183) ).
cnf(i_0_172,plain,
op(e2,e1) != op(e1,e1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_172) ).
cnf(i_0_140,plain,
op(e4,e4) != op(e1,e4),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_140) ).
cnf(i_0_72,plain,
( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_72) ).
cnf(i_0_188,plain,
e4 != e2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_188) ).
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-_bjhcdm_/input.p',i_0_70) ).
cnf(i_0_194,plain,
e3 != e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_194) ).
cnf(i_0_138,plain,
op(e4,e4) != op(e2,e4),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_138) ).
cnf(i_0_157,plain,
op(e4,e2) != op(e3,e2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_157) ).
cnf(i_0_36,plain,
op(unit,e0) = e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_36) ).
cnf(i_0_28,plain,
op(unit,e4) = e4,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_bjhcdm_/input.p',i_0_28) ).
cnf(c_0_428,plain,
op(op(e1,e1),op(e1,e1)) = e2,
i_0_199 ).
cnf(c_0_429,plain,
op(e1,e1) = e4,
i_0_197 ).
cnf(c_0_430,plain,
op(e1,op(op(e1,e1),op(e1,e1))) = e0,
i_0_200 ).
cnf(c_0_431,plain,
op(e4,e4) = e2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_428,c_0_429]),c_0_429]) ).
cnf(c_0_432,plain,
op(e2,e2) != op(e1,e2),
i_0_162 ).
cnf(c_0_433,plain,
op(e1,e2) = e0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_430,c_0_429]),c_0_429]),c_0_431]) ).
cnf(c_0_434,negated_conjecture,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
i_0_365 ).
cnf(c_0_435,plain,
e4 != e0,
i_0_193 ).
cnf(c_0_436,plain,
e2 != e0,
i_0_195 ).
cnf(c_0_437,plain,
op(e2,e2) != e0,
inference(rw,[status(thm)],[c_0_432,c_0_433]) ).
cnf(c_0_438,plain,
op(e3,e3) != op(e0,e3),
i_0_154 ).
cnf(c_0_439,negated_conjecture,
( op(e3,e3) = e0
| op(e0,e0) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_434,c_0_429]),c_0_431]),c_0_435]),c_0_436]),c_0_437]) ).
cnf(c_0_440,plain,
op(e0,e3) != op(e0,e0),
i_0_134 ).
cnf(c_0_441,plain,
( unit = e0
| unit = e1
| e2 = unit
| e3 = unit
| e4 = unit ),
i_0_26 ).
cnf(c_0_442,plain,
op(e0,unit) = e0,
i_0_35 ).
cnf(c_0_443,negated_conjecture,
( op(e0,e0) = e0
| op(e0,e3) != e0 ),
inference(spm,[status(thm)],[c_0_438,c_0_439]) ).
cnf(c_0_444,plain,
( e2 = unit
| e0 = unit
| e4 = unit
| e1 = unit
| op(e0,e0) != e0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_441]),c_0_442]) ).
cnf(c_0_445,plain,
( e2 = unit
| e0 = unit
| e4 = unit
| e1 = unit ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_441]),c_0_442])]),c_0_444]) ).
cnf(c_0_446,plain,
op(e1,unit) = e1,
i_0_33 ).
cnf(c_0_447,plain,
e0 != e1,
i_0_196 ).
cnf(c_0_448,plain,
op(e4,e4) != op(e3,e4),
i_0_137 ).
cnf(c_0_449,negated_conjecture,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
i_0_364 ).
cnf(c_0_450,plain,
e4 != e1,
i_0_190 ).
cnf(c_0_451,plain,
e2 != e1,
i_0_192 ).
cnf(c_0_452,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = e3,
i_0_198 ).
cnf(c_0_453,plain,
op(e3,e2) != op(e1,e2),
i_0_161 ).
cnf(c_0_454,plain,
op(e3,e4) != op(e3,e0),
i_0_103 ).
cnf(c_0_455,plain,
( e1 = unit
| e4 = unit
| e0 = unit ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_445]),c_0_446]),c_0_447]) ).
cnf(c_0_456,plain,
op(e3,unit) = e3,
i_0_29 ).
cnf(c_0_457,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_458,plain,
op(e3,e4) != e2,
inference(rw,[status(thm)],[c_0_448,c_0_431]) ).
cnf(c_0_459,negated_conjecture,
( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_449,c_0_429]),c_0_431]),c_0_450]),c_0_451]) ).
cnf(c_0_460,plain,
op(e2,e2) = e3,
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_452,c_0_429]),c_0_429]),c_0_431]),c_0_429]),c_0_429]),c_0_431]) ).
cnf(c_0_461,plain,
e3 != e1,
i_0_191 ).
cnf(c_0_462,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_463,plain,
op(e3,e2) != e0,
inference(rw,[status(thm)],[c_0_453,c_0_433]) ).
cnf(c_0_464,plain,
op(unit,e3) = e3,
i_0_30 ).
cnf(c_0_465,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
i_0_63 ).
cnf(c_0_466,plain,
op(e3,e4) != op(e3,e3),
i_0_97 ).
cnf(c_0_467,plain,
( e4 = unit
| e1 = unit
| op(e3,e4) != e3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_454,c_0_455]),c_0_456]) ).
cnf(c_0_468,plain,
( op(e3,e4) = e3
| op(e3,e4) = e0
| op(e3,e4) = e4
| op(e3,e4) = e1 ),
inference(sr,[status(thm)],[c_0_457,c_0_458]) ).
cnf(c_0_469,negated_conjecture,
( op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_459,c_0_460]),c_0_461]) ).
cnf(c_0_470,plain,
( op(e3,e3) = e0
| op(e3,e0) = e0
| op(e3,e4) = e0
| op(e3,e1) = e0 ),
inference(sr,[status(thm)],[c_0_462,c_0_463]) ).
cnf(c_0_471,plain,
( e4 = unit
| e1 = unit
| op(unit,unit) != e3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_455]),c_0_464]) ).
cnf(c_0_472,plain,
( op(unit,unit) = unit
| e4 = unit
| e1 = unit ),
inference(spm,[status(thm)],[c_0_442,c_0_455]) ).
cnf(c_0_473,plain,
op(e0,e0) != op(e1,e0),
i_0_186 ).
cnf(c_0_474,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_475,plain,
op(e3,e2) != op(e2,e2),
i_0_159 ).
cnf(c_0_476,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_477,plain,
e3 != e2,
i_0_189 ).
cnf(c_0_478,plain,
op(e4,e2) != op(e2,e2),
i_0_158 ).
cnf(c_0_479,plain,
op(e3,e3) != op(e3,e2),
i_0_99 ).
cnf(c_0_480,plain,
( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e0,e2) = e1
| op(e4,e2) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_465,c_0_433]),c_0_447]) ).
cnf(c_0_481,negated_conjecture,
( op(e0,e0) = e0
| op(e3,e4) != e0 ),
inference(spm,[status(thm)],[c_0_466,c_0_439]) ).
cnf(c_0_482,plain,
( op(e3,e4) = e0
| op(e3,e4) = e4
| op(e3,e4) = e1
| e1 = unit
| e4 = unit ),
inference(spm,[status(thm)],[c_0_467,c_0_468]) ).
cnf(c_0_483,negated_conjecture,
( op(e3,e0) = e0
| op(e3,e4) = e0
| op(e3,e1) = e0
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_470]),c_0_447]) ).
cnf(c_0_484,plain,
( e1 = unit
| e4 = unit
| e3 != unit ),
inference(spm,[status(thm)],[c_0_471,c_0_472]) ).
cnf(c_0_485,plain,
( e4 = unit
| e1 = unit
| op(unit,unit) != e1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_473,c_0_455]),c_0_446]) ).
cnf(c_0_486,negated_conjecture,
( op(e2,op(e1,e2)) = e1
| op(e2,op(e2,e2)) = e2
| op(e2,op(e3,e2)) = e3
| op(e2,op(e4,e2)) = e4
| op(e0,op(e0,e2)) != e2 ),
i_0_281 ).
cnf(c_0_487,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e4
| op(e3,e2) = e1 ),
inference(sr,[status(thm)],[c_0_474,c_0_463]) ).
cnf(c_0_488,plain,
op(e3,e2) != e3,
inference(rw,[status(thm)],[c_0_475,c_0_460]) ).
cnf(c_0_489,plain,
op(e4,e2) != op(e1,e2),
i_0_160 ).
cnf(c_0_490,plain,
op(e4,e4) != op(e4,e2),
i_0_88 ).
cnf(c_0_491,plain,
op(e4,e4) != op(e4,e0),
i_0_93 ).
cnf(c_0_492,plain,
op(e4,e3) != op(e0,e3),
i_0_153 ).
cnf(c_0_493,plain,
( op(e4,e3) = e3
| op(e4,e2) = e3
| op(e4,e0) = e3
| op(e4,e1) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_476,c_0_431]),c_0_477]) ).
cnf(c_0_494,plain,
op(e4,e2) != e3,
inference(rw,[status(thm)],[c_0_478,c_0_460]) ).
cnf(c_0_495,plain,
( op(e0,e0) = e1
| op(e3,e2) != e1 ),
inference(spm,[status(thm)],[c_0_479,c_0_469]) ).
cnf(c_0_496,plain,
( op(e4,e2) = e1
| op(e0,e2) = e1
| op(e3,e2) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_480,c_0_460]),c_0_461]) ).
cnf(c_0_497,plain,
op(e3,e3) != op(e3,e1),
i_0_101 ).
cnf(c_0_498,negated_conjecture,
( op(e3,e4) = e1
| op(e3,e4) = e4
| op(e0,e0) = e0
| e4 = unit
| e1 = unit ),
inference(spm,[status(thm)],[c_0_481,c_0_482]) ).
cnf(c_0_499,plain,
( op(e3,e1) = unit
| op(e3,e4) = unit
| e4 = unit
| e1 = unit ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_455]),c_0_456]),c_0_484]),c_0_485]) ).
cnf(c_0_500,negated_conjecture,
( op(e2,op(e1,e2)) = e1
| op(e2,op(e3,e2)) = e3
| op(e2,op(e4,e2)) = e4
| op(e0,op(e0,e2)) != e2
| op(e2,op(e2,e2)) != e2 ),
i_0_285 ).
cnf(c_0_501,negated_conjecture,
( op(e2,op(e3,e2)) = e3
| op(e2,op(e4,e2)) = e4
| op(e2,e3) = e2
| op(e2,e0) = e1
| op(e0,op(e0,e2)) != e2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_486,c_0_433]),c_0_460]) ).
cnf(c_0_502,plain,
op(e3,e2) != op(e0,e2),
i_0_164 ).
cnf(c_0_503,plain,
( op(e3,e2) = e1
| op(e3,e2) = e4
| op(e3,e2) = e2 ),
inference(sr,[status(thm)],[c_0_487,c_0_488]) ).
cnf(c_0_504,plain,
( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 ),
i_0_3 ).
cnf(c_0_505,plain,
op(e4,e2) != e0,
inference(rw,[status(thm)],[c_0_489,c_0_433]) ).
cnf(c_0_506,plain,
op(e4,e2) != e2,
inference(rw,[status(thm)],[c_0_490,c_0_431]) ).
cnf(c_0_507,plain,
( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
i_0_5 ).
cnf(c_0_508,plain,
op(e4,e0) != e2,
inference(rw,[status(thm)],[c_0_491,c_0_431]) ).
cnf(c_0_509,plain,
( e4 = unit
| e1 = unit
| op(e4,e3) != e3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_492,c_0_455]),c_0_464]) ).
cnf(c_0_510,plain,
( op(e4,e1) = e3
| op(e4,e0) = e3
| op(e4,e3) = e3 ),
inference(sr,[status(thm)],[c_0_493,c_0_494]) ).
cnf(c_0_511,plain,
( op(e4,e2) = e1
| op(e0,e2) = e1
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_495,c_0_496]) ).
cnf(c_0_512,plain,
op(unit,e2) = e2,
i_0_32 ).
cnf(c_0_513,negated_conjecture,
( op(e0,e0) = e0
| op(e3,e1) != e0 ),
inference(spm,[status(thm)],[c_0_497,c_0_439]) ).
cnf(c_0_514,negated_conjecture,
( op(e3,e1) = unit
| op(e0,e0) = e0
| e4 = unit
| e1 = unit ),
inference(spm,[status(thm)],[c_0_498,c_0_499]) ).
cnf(c_0_515,negated_conjecture,
( op(e2,op(e3,e2)) = e3
| op(e2,op(e4,e2)) = e4
| op(e2,e0) = e1
| op(e0,op(e0,e2)) != e2 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_500,c_0_433]),c_0_460]),c_0_501]) ).
cnf(c_0_516,plain,
op(e2,unit) = e2,
i_0_31 ).
cnf(c_0_517,plain,
( op(e3,e2) = e1
| op(e3,e2) = e4
| op(e0,e2) != e2 ),
inference(spm,[status(thm)],[c_0_502,c_0_503]) ).
cnf(c_0_518,plain,
op(e2,e4) != op(e2,e2),
i_0_108 ).
cnf(c_0_519,plain,
( op(e4,e2) = e3
| op(e4,e2) = e4
| op(e4,e2) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_504,c_0_505]),c_0_506]) ).
cnf(c_0_520,plain,
op(e4,e0) != op(e4,e1),
i_0_96 ).
cnf(c_0_521,plain,
( op(e4,e0) = e3
| op(e4,e0) = e0
| op(e4,e0) = e4
| op(e4,e0) = e1 ),
inference(sr,[status(thm)],[c_0_507,c_0_508]) ).
cnf(c_0_522,plain,
( op(e4,e1) = e3
| op(e4,e0) = e3
| e1 = unit
| e4 = unit ),
inference(spm,[status(thm)],[c_0_509,c_0_510]) ).
cnf(c_0_523,plain,
op(e4,unit) = e4,
i_0_27 ).
cnf(c_0_524,plain,
e4 != e3,
i_0_187 ).
cnf(c_0_525,plain,
op(e4,e2) != op(e4,e0),
i_0_95 ).
cnf(c_0_526,plain,
( op(e4,e2) = e1
| e4 = unit
| e1 = unit ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_511,c_0_455]),c_0_512]),c_0_451]),c_0_485]) ).
cnf(c_0_527,plain,
op(e4,e0) != op(e0,e0),
i_0_183 ).
cnf(c_0_528,negated_conjecture,
( op(e0,e0) = e0
| e1 = unit
| e4 = unit ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_514]),c_0_455]) ).
cnf(c_0_529,plain,
( op(e2,op(e3,e2)) = e3
| op(e2,op(e4,e2)) = e4
| e4 = unit
| e1 = unit ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_455]),c_0_516]),c_0_512]),c_0_512])]),c_0_451]) ).
cnf(c_0_530,plain,
( op(e3,e2) = e4
| op(e3,e2) = e1
| e4 = unit
| e1 = unit ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_517,c_0_455]),c_0_512])]) ).
cnf(c_0_531,plain,
op(e2,e4) != e3,
inference(rw,[status(thm)],[c_0_518,c_0_460]) ).
cnf(c_0_532,plain,
( op(e4,e2) = e1
| op(e4,e2) = e4 ),
inference(sr,[status(thm)],[c_0_519,c_0_494]) ).
cnf(c_0_533,plain,
op(e2,e1) != op(e1,e1),
i_0_172 ).
cnf(c_0_534,plain,
( op(e4,e0) = e0
| op(e4,e0) = e4
| op(e4,e0) = e1
| op(e4,e1) != e3 ),
inference(spm,[status(thm)],[c_0_520,c_0_521]) ).
cnf(c_0_535,plain,
( op(e4,e1) = e3
| e4 = unit
| e1 = unit ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_522,c_0_455]),c_0_523]),c_0_524]) ).
cnf(c_0_536,plain,
( e1 = unit
| e4 = unit
| op(e4,e0) != e1 ),
inference(spm,[status(thm)],[c_0_525,c_0_526]) ).
cnf(c_0_537,plain,
( e4 = unit
| e1 = unit
| op(e4,e0) != e0 ),
inference(spm,[status(thm)],[c_0_527,c_0_528]) ).
cnf(c_0_538,plain,
op(e4,e4) != op(e1,e4),
i_0_140 ).
cnf(c_0_539,plain,
( op(e2,op(e4,e2)) = e4
| op(e3,e2) = e1
| e1 = unit
| e4 = unit ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_529,c_0_530]),c_0_531]) ).
cnf(c_0_540,plain,
( op(e4,e2) = e1
| op(e4,e0) != e4 ),
inference(spm,[status(thm)],[c_0_525,c_0_532]) ).
cnf(c_0_541,plain,
op(e2,e1) != e4,
inference(rw,[status(thm)],[c_0_533,c_0_429]) ).
cnf(c_0_542,plain,
( op(e4,e0) = e4
| e1 = unit
| e4 = unit ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_534,c_0_535]),c_0_536]),c_0_537]) ).
cnf(c_0_543,plain,
( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 ),
i_0_72 ).
cnf(c_0_544,plain,
e4 != e2,
i_0_188 ).
cnf(c_0_545,plain,
op(e1,e4) != e2,
inference(rw,[status(thm)],[c_0_538,c_0_431]) ).
cnf(c_0_546,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_547,plain,
e3 != e0,
i_0_194 ).
cnf(c_0_548,plain,
op(e4,e4) != op(e2,e4),
i_0_138 ).
cnf(c_0_549,plain,
op(e4,e2) != op(e3,e2),
i_0_157 ).
cnf(c_0_550,plain,
( op(e3,e2) = e1
| e4 = unit
| e1 = unit ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_539,c_0_540]),c_0_541]),c_0_542]) ).
cnf(c_0_551,plain,
( op(e1,e3) = e2
| op(e1,e0) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_543,c_0_429]),c_0_433]),c_0_544]),c_0_545]),c_0_436]) ).
cnf(c_0_552,plain,
( op(e1,e3) = e3
| op(e1,e0) = e3
| op(e1,e4) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_546,c_0_429]),c_0_433]),c_0_524]),c_0_547]) ).
cnf(c_0_553,plain,
op(e2,e4) != e2,
inference(rw,[status(thm)],[c_0_548,c_0_431]) ).
cnf(c_0_554,plain,
( e1 = unit
| e4 = unit ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_549,c_0_550]),c_0_526]) ).
cnf(c_0_555,plain,
( op(e1,e0) = e3
| op(e1,e4) = e3
| op(e1,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_551,c_0_552]),c_0_477]) ).
cnf(c_0_556,plain,
e1 = unit,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_553,c_0_554]),c_0_516])]) ).
cnf(c_0_557,plain,
op(unit,e0) = e0,
i_0_36 ).
cnf(c_0_558,plain,
op(unit,e4) = e4,
i_0_28 ).
cnf(c_0_559,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_555,c_0_556]),c_0_557]),c_0_556]),c_0_558]),c_0_556]),c_0_557]),c_0_547]),c_0_524]),c_0_436]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG061+1 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.33 % Computer : n023.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jun 8 10:57:55 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 8.86/2.55 # ENIGMATIC: Solved by autoschedule:
% 8.86/2.55 # No SInE strategy applied
% 8.86/2.55 # Trying AutoSched0 for 150 seconds
% 8.86/2.55 # AutoSched0-Mode selected heuristic H_____047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S04AN
% 8.86/2.55 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.86/2.55 #
% 8.86/2.55 # Preprocessing time : 0.031 s
% 8.86/2.55 # Presaturation interreduction done
% 8.86/2.55
% 8.86/2.55 # Proof found!
% 8.86/2.55 # SZS status Theorem
% 8.86/2.55 # SZS output start CNFRefutation
% See solution above
% 8.86/2.55 # Training examples: 0 positive, 0 negative
% 8.86/2.55
% 8.86/2.55 # -------------------------------------------------
% 8.86/2.55 # User time : 0.111 s
% 8.86/2.55 # System time : 0.009 s
% 8.86/2.55 # Total time : 0.120 s
% 8.86/2.55 # Maximum resident set size: 7116 pages
% 8.86/2.55
%------------------------------------------------------------------------------