TSTP Solution File: NUM528+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM528+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n021.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 : Mon Jul 18 08:37:00 EDT 2022
% Result : Theorem 8.68s 2.43s
% Output : CNFRefutation 8.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 29
% Syntax : Number of clauses : 106 ( 48 unt; 29 nHn; 106 RR)
% Number of literals : 265 ( 96 equ; 137 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 93 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_50,plain,
( doDivides0(X1,X2)
| X2 != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1xo_zxf5/lgb.p',i_0_50) ).
cnf(i_0_6,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1xo_zxf5/lgb.p',i_0_6) ).
cnf(i_0_54,plain,
( X1 = sz00
| X2 = sdtasdt0(X1,X3)
| X3 != sdtsldt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1xo_zxf5/lgb.p',i_0_54) ).
cnf(i_0_55,plain,
( X1 = sz00
| aNaturalNumber0(X2)
| X2 != sdtsldt0(X3,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1xo_zxf5/lgb.p',i_0_55) ).
cnf(i_0_11,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1xo_zxf5/lgb.p',i_0_11) ).
cnf(i_0_81,hypothesis,
doDivides0(xp,xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1xo_zxf5/lgb.p',i_0_81) ).
cnf(i_0_83,hypothesis,
sdtsldt0(xn,xp) = xq,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1xo_zxf5/lgb.p',i_0_83) ).
cnf(i_0_77,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1xo_zxf5/lgb.p',i_0_77) ).
cnf(i_0_75,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1xo_zxf5/lgb.p',i_0_75) ).
cnf(i_0_72,hypothesis,
sz00 != xp,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1xo_zxf5/lgb.p',i_0_72) ).
cnf(i_0_56,plain,
( doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1xo_zxf5/lgb.p',i_0_56) ).
cnf(i_0_13,plain,
( sdtasdt0(sz10,X1) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1xo_zxf5/lgb.p',i_0_13) ).
cnf(i_0_4,plain,
aNaturalNumber0(sz10),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1xo_zxf5/lgb.p',i_0_4) ).
cnf(i_0_84,hypothesis,
sdtasdt0(xp,sdtasdt0(xq,xq)) = sdtasdt0(xm,xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1xo_zxf5/lgb.p',i_0_84) ).
cnf(i_0_86,negated_conjecture,
( xm = xn
| ~ sdtlseqdt0(xm,xn) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1xo_zxf5/lgb.p',i_0_86) ).
cnf(i_0_35,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1xo_zxf5/lgb.p',i_0_35) ).
cnf(i_0_76,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1xo_zxf5/lgb.p',i_0_76) ).
cnf(i_0_51,plain,
( sdtasdt0(X1,esk2_2(X1,X2)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1xo_zxf5/lgb.p',i_0_51) ).
cnf(i_0_52,plain,
( aNaturalNumber0(esk2_2(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1xo_zxf5/lgb.p',i_0_52) ).
cnf(i_0_53,plain,
( X1 = sz00
| X2 = sdtsldt0(X3,X1)
| X3 != sdtasdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1xo_zxf5/lgb.p',i_0_53) ).
cnf(i_0_85,hypothesis,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ~ sdtlseqdt0(xn,xm) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1xo_zxf5/lgb.p',i_0_85) ).
cnf(i_0_79,hypothesis,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1xo_zxf5/lgb.p',i_0_79) ).
cnf(i_0_47,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1xo_zxf5/lgb.p',i_0_47) ).
cnf(i_0_12,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1xo_zxf5/lgb.p',i_0_12) ).
cnf(i_0_33,plain,
( X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1xo_zxf5/lgb.p',i_0_33) ).
cnf(i_0_21,plain,
( X1 = X2
| X3 = sz00
| sdtasdt0(X1,X3) != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1xo_zxf5/lgb.p',i_0_21) ).
cnf(i_0_74,hypothesis,
sz00 != xn,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1xo_zxf5/lgb.p',i_0_74) ).
cnf(i_0_66,plain,
( X1 != sz10
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1xo_zxf5/lgb.p',i_0_66) ).
cnf(i_0_80,hypothesis,
isPrime0(xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1xo_zxf5/lgb.p',i_0_80) ).
cnf(c_0_116,plain,
( doDivides0(X1,X2)
| X2 != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
i_0_50 ).
cnf(c_0_117,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_6 ).
cnf(c_0_118,plain,
( X1 = sz00
| X2 = sdtasdt0(X1,X3)
| X3 != sdtsldt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
i_0_54 ).
cnf(c_0_119,plain,
( X1 = sz00
| aNaturalNumber0(X2)
| X2 != sdtsldt0(X3,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X3) ),
i_0_55 ).
cnf(c_0_120,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_116]),c_0_117]) ).
cnf(c_0_121,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_11 ).
cnf(c_0_122,plain,
( sdtasdt0(X1,sdtsldt0(X2,X1)) = X2
| X1 = sz00
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_118]) ).
cnf(c_0_123,hypothesis,
doDivides0(xp,xn),
i_0_81 ).
cnf(c_0_124,hypothesis,
sdtsldt0(xn,xp) = xq,
i_0_83 ).
cnf(c_0_125,hypothesis,
aNaturalNumber0(xn),
i_0_77 ).
cnf(c_0_126,hypothesis,
aNaturalNumber0(xp),
i_0_75 ).
cnf(c_0_127,hypothesis,
sz00 != xp,
i_0_72 ).
cnf(c_0_128,plain,
( X1 = sz00
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_119]) ).
cnf(c_0_129,plain,
( doDivides0(X1,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_130,hypothesis,
sdtasdt0(xp,xq) = xn,
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_122,c_0_123]),c_0_124]),c_0_125]),c_0_126])]),c_0_127]) ).
cnf(c_0_131,hypothesis,
aNaturalNumber0(xq),
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_128,c_0_123]),c_0_124]),c_0_125]),c_0_126])]),c_0_127]) ).
cnf(c_0_132,plain,
( doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3) ),
i_0_56 ).
cnf(c_0_133,hypothesis,
doDivides0(xq,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_126]),c_0_131])]) ).
cnf(c_0_134,plain,
( sdtasdt0(sz10,X1) = X1
| ~ aNaturalNumber0(X1) ),
i_0_13 ).
cnf(c_0_135,plain,
aNaturalNumber0(sz10),
i_0_4 ).
cnf(c_0_136,hypothesis,
sdtasdt0(xp,sdtasdt0(xq,xq)) = sdtasdt0(xm,xm),
i_0_84 ).
cnf(c_0_137,plain,
( doDivides0(X1,xn)
| ~ doDivides0(X1,xq)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_131]),c_0_125])]) ).
cnf(c_0_138,plain,
( doDivides0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_134]),c_0_135])]) ).
cnf(c_0_139,negated_conjecture,
( xm = xn
| ~ sdtlseqdt0(xm,xn) ),
i_0_86 ).
cnf(c_0_140,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_35 ).
cnf(c_0_141,hypothesis,
aNaturalNumber0(xm),
i_0_76 ).
cnf(c_0_142,hypothesis,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_136]),c_0_126])]) ).
cnf(c_0_143,plain,
( sdtasdt0(X1,esk2_2(X1,X2)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
i_0_51 ).
cnf(c_0_144,plain,
doDivides0(sz10,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_135]),c_0_131])]) ).
cnf(c_0_145,plain,
( aNaturalNumber0(esk2_2(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2) ),
i_0_52 ).
cnf(c_0_146,plain,
( X1 = sz00
| X2 = sdtsldt0(X3,X1)
| X3 != sdtasdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X3) ),
i_0_53 ).
cnf(c_0_147,hypothesis,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ~ sdtlseqdt0(xn,xm) ),
i_0_85 ).
cnf(c_0_148,negated_conjecture,
( xm = xn
| sdtlseqdt0(xn,xm) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_125]),c_0_141])]) ).
cnf(c_0_149,hypothesis,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
i_0_79 ).
cnf(c_0_150,plain,
aNaturalNumber0(sdtasdt0(xm,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_117]),c_0_131])]) ).
cnf(c_0_151,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_47 ).
cnf(c_0_152,plain,
sdtasdt0(sz10,esk2_2(sz10,xn)) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_125]),c_0_135])]) ).
cnf(c_0_153,plain,
aNaturalNumber0(esk2_2(sz10,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_144]),c_0_125]),c_0_135])]) ).
cnf(c_0_154,plain,
( sdtsldt0(sdtasdt0(X1,X2),X1) = X2
| X1 = sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_146]),c_0_117]),c_0_120]) ).
cnf(c_0_155,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_12 ).
cnf(c_0_156,plain,
( X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_33 ).
cnf(c_0_157,hypothesis,
( xm = xn
| sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_158,hypothesis,
aNaturalNumber0(sdtasdt0(xn,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_149]),c_0_126])]),c_0_150])]) ).
cnf(c_0_159,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_151,c_0_121]) ).
cnf(c_0_160,plain,
esk2_2(sz10,xn) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_152]),c_0_153])]) ).
cnf(c_0_161,plain,
( X1 = X2
| X3 = sz00
| sdtasdt0(X1,X3) != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
i_0_21 ).
cnf(c_0_162,plain,
( sdtsldt0(sdtasdt0(X1,sdtasdt0(X2,X3)),sdtasdt0(X1,X2)) = X3
| sdtasdt0(X1,X2) = sz00
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_117]) ).
cnf(c_0_163,hypothesis,
sz00 != xn,
i_0_74 ).
cnf(c_0_164,plain,
( sdtasdt0(xm,xm) = sdtasdt0(xn,xn)
| xm = xn
| ~ sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_158]),c_0_150])]) ).
cnf(c_0_165,hypothesis,
sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_149]),c_0_150]),c_0_126])]),c_0_127]) ).
cnf(c_0_166,plain,
sdtasdt0(sz10,xn) = xn,
inference(rw,[status(thm)],[c_0_152,c_0_160]) ).
cnf(c_0_167,plain,
( xq = sz00
| X1 = xp
| sdtasdt0(X1,xq) != xn
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_130]),c_0_131]),c_0_126])]) ).
cnf(c_0_168,hypothesis,
sdtsldt0(sdtasdt0(xm,xm),xn) = xq,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_136]),c_0_130]),c_0_130]),c_0_131]),c_0_126])]),c_0_163]) ).
cnf(c_0_169,plain,
( sdtasdt0(xm,xm) = sdtasdt0(xn,xn)
| xm = xn ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_165])]) ).
cnf(c_0_170,plain,
doDivides0(xn,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_166]),c_0_135]),c_0_125])]) ).
cnf(c_0_171,plain,
sdtasdt0(xn,sz10) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_166]),c_0_125]),c_0_135])]) ).
cnf(c_0_172,plain,
( xq = sz00
| X1 = xp
| sdtasdt0(xq,X1) != xn
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_121]),c_0_131])]) ).
cnf(c_0_173,plain,
sdtasdt0(xq,esk2_2(xq,xn)) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_133]),c_0_125]),c_0_131])]) ).
cnf(c_0_174,plain,
aNaturalNumber0(esk2_2(xq,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_133]),c_0_125]),c_0_131])]) ).
cnf(c_0_175,plain,
( sdtsldt0(sdtasdt0(xn,xn),xn) = xq
| xm = xn ),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_176,plain,
sdtasdt0(xn,esk2_2(xn,xn)) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_170]),c_0_125])]) ).
cnf(c_0_177,plain,
sdtsldt0(xn,xn) = sz10,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_171]),c_0_135]),c_0_125])]),c_0_163]) ).
cnf(c_0_178,plain,
aNaturalNumber0(esk2_2(xn,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_170]),c_0_125])]) ).
cnf(c_0_179,plain,
( esk2_2(xq,xn) = xp
| xq = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_174])]) ).
cnf(c_0_180,plain,
( xm = xn
| xq = xn ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_175]),c_0_125])]),c_0_163]) ).
cnf(c_0_181,plain,
esk2_2(xn,xn) = sz10,
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_154,c_0_176]),c_0_177]),c_0_178]),c_0_125])]),c_0_163]) ).
cnf(c_0_182,plain,
( X1 != sz10
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X1) ),
i_0_66 ).
cnf(c_0_183,hypothesis,
isPrime0(xp),
i_0_80 ).
cnf(c_0_184,plain,
( xm = xn
| xp = sz10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_181]),c_0_163]) ).
cnf(c_0_185,plain,
~ isPrime0(sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_182]),c_0_135])]) ).
cnf(c_0_186,hypothesis,
xm = xn,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_185]) ).
cnf(c_0_187,plain,
( sdtasdt0(xq,xp) = xn
| xq = sz00 ),
inference(spm,[status(thm)],[c_0_173,c_0_179]) ).
cnf(c_0_188,hypothesis,
sdtsldt0(sdtasdt0(xn,xn),xn) = xq,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_186]),c_0_186]) ).
cnf(c_0_189,plain,
( sdtsldt0(xn,xq) = xp
| xq = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_187]),c_0_126]),c_0_131])]) ).
cnf(c_0_190,plain,
xq = xn,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_188]),c_0_125])]),c_0_163]) ).
cnf(c_0_191,plain,
xp = sz10,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_189,c_0_190]),c_0_177]),c_0_190]),c_0_163]) ).
cnf(c_0_192,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_183,c_0_191]),c_0_185]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM528+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n021.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Wed Jul 6 06:49:20 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 8.68/2.43 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.68/2.43 # No SInE strategy applied
% 8.68/2.43 # Trying AutoSched0 for 150 seconds
% 8.68/2.43 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 8.68/2.43 # and selection function SelectNewComplexAHP.
% 8.68/2.43 #
% 8.68/2.43 # Preprocessing time : 0.025 s
% 8.68/2.43 # Presaturation interreduction done
% 8.68/2.43
% 8.68/2.43 # Proof found!
% 8.68/2.43 # SZS status Theorem
% 8.68/2.43 # SZS output start CNFRefutation
% See solution above
% 8.68/2.43 # Training examples: 0 positive, 0 negative
% 8.68/2.43
% 8.68/2.43 # -------------------------------------------------
% 8.68/2.43 # User time : 0.158 s
% 8.68/2.43 # System time : 0.011 s
% 8.68/2.43 # Total time : 0.169 s
% 8.68/2.43 # Maximum resident set size: 7128 pages
% 8.68/2.43
%------------------------------------------------------------------------------