TSTP Solution File: NUM502+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM502+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n003.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 08:36:42 EDT 2022
% Result : Theorem 31.40s 5.21s
% Output : CNFRefutation 31.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 33
% Syntax : Number of clauses : 100 ( 38 unt; 28 nHn; 100 RR)
% Number of literals : 293 ( 78 equ; 175 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 110 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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-5cv_9z6a/input.p',i_0_54) ).
cnf(i_0_67,plain,
( X1 != sz00
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5cv_9z6a/input.p',i_0_67) ).
cnf(i_0_76,hypothesis,
isPrime0(xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5cv_9z6a/input.p',i_0_76) ).
cnf(i_0_71,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5cv_9z6a/input.p',i_0_71) ).
cnf(i_0_83,hypothesis,
sdtsldt0(sdtasdt0(xn,xm),xp) = xk,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5cv_9z6a/input.p',i_0_83) ).
cnf(i_0_75,hypothesis,
doDivides0(xp,sdtasdt0(xn,xm)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5cv_9z6a/input.p',i_0_75) ).
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-5cv_9z6a/input.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-5cv_9z6a/input.p',i_0_6) ).
cnf(i_0_72,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5cv_9z6a/input.p',i_0_72) ).
cnf(i_0_73,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5cv_9z6a/input.p',i_0_73) ).
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-5cv_9z6a/input.p',i_0_55) ).
cnf(i_0_15,plain,
( sdtasdt0(sz00,X1) = sz00
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5cv_9z6a/input.p',i_0_15) ).
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-5cv_9z6a/input.p',i_0_51) ).
cnf(i_0_2,plain,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5cv_9z6a/input.p',i_0_2) ).
cnf(i_0_25,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5cv_9z6a/input.p',i_0_25) ).
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-5cv_9z6a/input.p',i_0_52) ).
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-5cv_9z6a/input.p',i_0_56) ).
cnf(i_0_85,hypothesis,
sz00 != xk,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5cv_9z6a/input.p',i_0_85) ).
cnf(i_0_35,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5cv_9z6a/input.p',i_0_35) ).
cnf(i_0_16,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5cv_9z6a/input.p',i_0_16) ).
cnf(i_0_5,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5cv_9z6a/input.p',i_0_5) ).
cnf(i_0_34,plain,
( sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5cv_9z6a/input.p',i_0_34) ).
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-5cv_9z6a/input.p',i_0_33) ).
cnf(i_0_41,plain,
( X1 = X2
| X3 = sz00
| sdtlseqdt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5cv_9z6a/input.p',i_0_41) ).
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-5cv_9z6a/input.p',i_0_21) ).
cnf(i_0_43,plain,
( X1 = X2
| X3 = sz00
| sdtlseqdt0(sdtasdt0(X3,X1),sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5cv_9z6a/input.p',i_0_43) ).
cnf(i_0_9,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5cv_9z6a/input.p',i_0_9) ).
cnf(i_0_93,negated_conjecture,
( xk = xp
| ~ sdtlseqdt0(xk,xp) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5cv_9z6a/input.p',i_0_93) ).
cnf(i_0_81,hypothesis,
sdtlseqdt0(xn,xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5cv_9z6a/input.p',i_0_81) ).
cnf(i_0_82,hypothesis,
xp != xn,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5cv_9z6a/input.p',i_0_82) ).
cnf(i_0_78,hypothesis,
~ sdtlseqdt0(xp,xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5cv_9z6a/input.p',i_0_78) ).
cnf(i_0_79,hypothesis,
sdtlseqdt0(xm,xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5cv_9z6a/input.p',i_0_79) ).
cnf(i_0_80,hypothesis,
xp != xm,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5cv_9z6a/input.p',i_0_80) ).
cnf(c_0_127,plain,
( X1 = sz00
| X2 = sdtasdt0(X1,X3)
| X3 != sdtsldt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
i_0_54 ).
cnf(c_0_128,plain,
( X1 != sz00
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X1) ),
i_0_67 ).
cnf(c_0_129,hypothesis,
isPrime0(xp),
i_0_76 ).
cnf(c_0_130,hypothesis,
aNaturalNumber0(xp),
i_0_71 ).
cnf(c_0_131,plain,
( sdtasdt0(X1,sdtsldt0(X2,X1)) = X2
| X1 = sz00
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_127]) ).
cnf(c_0_132,hypothesis,
sdtsldt0(sdtasdt0(xn,xm),xp) = xk,
i_0_83 ).
cnf(c_0_133,hypothesis,
doDivides0(xp,sdtasdt0(xn,xm)),
i_0_75 ).
cnf(c_0_134,hypothesis,
xp != sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130])]) ).
cnf(c_0_135,plain,
( doDivides0(X1,X2)
| X2 != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
i_0_50 ).
cnf(c_0_136,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_6 ).
cnf(c_0_137,hypothesis,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_133]),c_0_130])]),c_0_134]) ).
cnf(c_0_138,hypothesis,
aNaturalNumber0(xm),
i_0_72 ).
cnf(c_0_139,hypothesis,
aNaturalNumber0(xn),
i_0_73 ).
cnf(c_0_140,plain,
( X1 = sz00
| aNaturalNumber0(X2)
| X2 != sdtsldt0(X3,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X3) ),
i_0_55 ).
cnf(c_0_141,plain,
( sdtasdt0(sz00,X1) = sz00
| ~ aNaturalNumber0(X1) ),
i_0_15 ).
cnf(c_0_142,plain,
( sdtasdt0(X1,esk2_2(X1,X2)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
i_0_51 ).
cnf(c_0_143,plain,
aNaturalNumber0(sz00),
i_0_2 ).
cnf(c_0_144,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_135]),c_0_136]) ).
cnf(c_0_145,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_136]),c_0_138]),c_0_139])]) ).
cnf(c_0_146,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_25 ).
cnf(c_0_147,plain,
( X1 = sz00
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_140]) ).
cnf(c_0_148,plain,
( X1 = sz00
| ~ doDivides0(sz00,X1)
| ~ aNaturalNumber0(esk2_2(sz00,X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_143])]) ).
cnf(c_0_149,plain,
( aNaturalNumber0(esk2_2(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2) ),
i_0_52 ).
cnf(c_0_150,plain,
( doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3) ),
i_0_56 ).
cnf(c_0_151,plain,
doDivides0(xn,sdtasdt0(xp,xk)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_138]),c_0_139])]) ).
cnf(c_0_152,plain,
aNaturalNumber0(sdtasdt0(xp,xk)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_145]),c_0_138]),c_0_139])]) ).
cnf(c_0_153,hypothesis,
sdtsldt0(sdtasdt0(xp,xk),xp) = xk,
inference(rw,[status(thm)],[c_0_132,c_0_145]) ).
cnf(c_0_154,plain,
( sdtsldt0(X1,X2) = sz00
| X2 = sz00
| X1 != sz00
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_131]),c_0_147]) ).
cnf(c_0_155,hypothesis,
doDivides0(xp,sdtasdt0(xp,xk)),
inference(rw,[status(thm)],[c_0_133,c_0_145]) ).
cnf(c_0_156,hypothesis,
sz00 != xk,
i_0_85 ).
cnf(c_0_157,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_35 ).
cnf(c_0_158,plain,
( X1 = sz00
| ~ doDivides0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_143])]) ).
cnf(c_0_159,plain,
( doDivides0(X1,sdtasdt0(xp,xk))
| ~ doDivides0(X1,xn)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_139]),c_0_152])]) ).
cnf(c_0_160,hypothesis,
sdtasdt0(xp,xk) != sz00,
inference(sr,[status(thm)],[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_153,c_0_154]),c_0_155]),c_0_130]),c_0_152])]),c_0_156]),c_0_134]) ).
cnf(c_0_161,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
i_0_16 ).
cnf(c_0_162,hypothesis,
( sdtlseqdt0(xm,X1)
| sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_157,c_0_138]) ).
cnf(c_0_163,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_5 ).
cnf(c_0_164,hypothesis,
( aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_132]),c_0_133]),c_0_130])]),c_0_134]) ).
cnf(c_0_165,plain,
~ doDivides0(sz00,xn),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_152]),c_0_143])]),c_0_160]) ).
cnf(c_0_166,plain,
( doDivides0(X1,X2)
| X2 != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_161]),c_0_143])]) ).
cnf(c_0_167,plain,
( sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3) ),
i_0_34 ).
cnf(c_0_168,plain,
( sdtlseqdt0(sdtpldt0(X1,X2),xm)
| sdtlseqdt0(xm,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_169,hypothesis,
( sdtlseqdt0(xp,X1)
| sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_157,c_0_130]) ).
cnf(c_0_170,plain,
aNaturalNumber0(xk),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_136]),c_0_138]),c_0_139])]) ).
cnf(c_0_171,plain,
( X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_33 ).
cnf(c_0_172,plain,
( X1 = X2
| X3 = sz00
| sdtlseqdt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_41 ).
cnf(c_0_173,plain,
( X1 = X2
| X3 = sz00
| sdtasdt0(X1,X3) != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
i_0_21 ).
cnf(c_0_174,plain,
( X1 = X2
| X3 = sz00
| sdtlseqdt0(sdtasdt0(X3,X1),sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2) ),
i_0_43 ).
cnf(c_0_175,plain,
xn != sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_139]),c_0_143])]) ).
cnf(c_0_176,plain,
( sdtlseqdt0(xm,sdtpldt0(X1,X2))
| sdtlseqdt0(X3,xm)
| ~ sdtlseqdt0(X3,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_138])]),c_0_163]) ).
cnf(c_0_177,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aNaturalNumber0(X1) ),
i_0_9 ).
cnf(c_0_178,negated_conjecture,
( xk = xp
| ~ sdtlseqdt0(xk,xp) ),
i_0_93 ).
cnf(c_0_179,hypothesis,
( sdtlseqdt0(xk,xp)
| sdtlseqdt0(xp,xk) ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_180,plain,
( X1 = sz00
| X2 = X3
| ~ sdtlseqdt0(sdtasdt0(X3,X1),sdtasdt0(X2,X1))
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_136]),c_0_136]),c_0_173]) ).
cnf(c_0_181,plain,
( xm = X1
| sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xn,X1))
| ~ sdtlseqdt0(xm,X1)
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_145]),c_0_139]),c_0_138])]),c_0_175]) ).
cnf(c_0_182,hypothesis,
sdtlseqdt0(xn,xp),
i_0_81 ).
cnf(c_0_183,hypothesis,
xp != xn,
i_0_82 ).
cnf(c_0_184,plain,
( sdtlseqdt0(X1,xm)
| sdtlseqdt0(xm,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_143])]) ).
cnf(c_0_185,negated_conjecture,
( xk = xp
| sdtlseqdt0(xp,xk) ),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_186,hypothesis,
~ sdtlseqdt0(xp,xm),
i_0_78 ).
cnf(c_0_187,plain,
( xm = xk
| ~ sdtlseqdt0(xm,xk) ),
inference(sr,[status(thm)],[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_180,c_0_181]),c_0_182]),c_0_170]),c_0_130]),c_0_139])]),c_0_156]),c_0_183]) ).
cnf(c_0_188,negated_conjecture,
( xk = xp
| sdtlseqdt0(xm,xk) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_130]),c_0_170])]),c_0_186]) ).
cnf(c_0_189,negated_conjecture,
( xk = xp
| xm = xk ),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_190,hypothesis,
xk = xp,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_189]),c_0_185]) ).
cnf(c_0_191,hypothesis,
sdtlseqdt0(xm,xp),
i_0_79 ).
cnf(c_0_192,hypothesis,
xp != xm,
i_0_80 ).
cnf(c_0_193,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_187,c_0_190]),c_0_190]),c_0_191])]),c_0_192]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM502+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.32 % Computer : n003.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jul 7 19:13:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 31.40/5.21 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 31.40/5.21 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 23; version: 991; iters: 150)
% 31.40/5.21 # Preprocessing time : 0.851 s
% 31.40/5.21
% 31.40/5.21 # Proof found!
% 31.40/5.21 # SZS status Theorem
% 31.40/5.21 # SZS output start CNFRefutation
% See solution above
% 31.40/5.21 # Training examples: 0 positive, 0 negative
% 31.40/5.21
% 31.40/5.21 # -------------------------------------------------
% 31.40/5.21 # User time : 2.729 s
% 31.40/5.21 # System time : 0.150 s
% 31.40/5.21 # Total time : 2.879 s
% 31.40/5.21 # ...preprocessing : 0.851 s
% 31.40/5.21 # ...main loop : 2.028 s
% 31.40/5.21 # Maximum resident set size: 168192 pages
% 31.40/5.21
%------------------------------------------------------------------------------