%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM529+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n026.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 10.52s 2.82s
% Output : CNFRefutation 10.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 40
% Syntax : Number of clauses : 151 ( 77 unt; 25 nHn; 151 RR)
% Number of literals : 389 ( 114 equ; 225 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 152 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_50,plain,
( doDivides0(X1,X2)
| X2 != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_50) ).
cnf(i_0_6,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_6) ).
cnf(i_0_55,plain,
( X1 = sz00
| aNaturalNumber0(X2)
| X2 != sdtsldt0(X3,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_55) ).
cnf(i_0_84,hypothesis,
sdtasdt0(xp,sdtasdt0(xq,xq)) = sdtasdt0(xm,xm),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_84) ).
cnf(i_0_75,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_75) ).
cnf(i_0_81,hypothesis,
doDivides0(xp,xn),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_81) ).
cnf(i_0_83,hypothesis,
sdtsldt0(xn,xp) = xq,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_83) ).
cnf(i_0_77,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_77) ).
cnf(i_0_72,hypothesis,
sz00 != xp,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_72) ).
cnf(i_0_71,plain,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| ~ doDivides0(X1,sdtasdt0(X3,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_71) ).
cnf(i_0_80,hypothesis,
isPrime0(xp),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_80) ).
cnf(i_0_76,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_76) ).
cnf(i_0_56,plain,
( doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_56) ).
cnf(i_0_13,plain,
( sdtasdt0(sz10,X1) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_13) ).
cnf(i_0_4,plain,
aNaturalNumber0(sz10),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_4) ).
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/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_54) ).
cnf(i_0_51,plain,
( sdtasdt0(X1,esk2_2(X1,X2)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_51) ).
cnf(i_0_52,plain,
( aNaturalNumber0(esk2_2(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_52) ).
cnf(i_0_11,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_11) ).
cnf(i_0_59,plain,
( X1 = sz00
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_59) ).
cnf(i_0_73,hypothesis,
sz00 != xm,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_73) ).
cnf(i_0_26,plain,
( sdtlseqdt0(X1,X2)
| sdtpldt0(X1,X3) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_26) ).
cnf(i_0_5,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/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/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_34) ).
cnf(i_0_9,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_9) ).
cnf(i_0_2,plain,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_2) ).
cnf(i_0_16,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_16) ).
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/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_53) ).
cnf(i_0_33,plain,
( X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_33) ).
cnf(i_0_12,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_12) ).
cnf(i_0_47,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_47) ).
cnf(i_0_74,hypothesis,
sz00 != xn,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_74) ).
cnf(i_0_15,plain,
( sdtasdt0(sz00,X1) = sz00
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_15) ).
cnf(i_0_25,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_25) ).
cnf(i_0_21,plain,
( X1 = X2
| X3 = sz00
| sdtasdt0(X1,X3) != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_21) ).
cnf(i_0_49,plain,
( X1 = X2
| iLess0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_49) ).
cnf(i_0_85,hypothesis,
sdtlseqdt0(xm,xn),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_85) ).
cnf(i_0_86,hypothesis,
xm != xn,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_86) ).
cnf(i_0_78,hypothesis,
( X1 = sz00
| X2 = sz00
| X3 = sz00
| sdtasdt0(X1,sdtasdt0(X2,X2)) != sdtasdt0(X3,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| ~ iLess0(X3,xn) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_78) ).
cnf(i_0_3,plain,
sz00 != sz10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nqsd8_ud/input.p',i_0_3) ).
cnf(c_0_127,plain,
( doDivides0(X1,X2)
| X2 != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
i_0_50 ).
cnf(c_0_128,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_6 ).
cnf(c_0_129,plain,
( X1 = sz00
| aNaturalNumber0(X2)
| X2 != sdtsldt0(X3,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X3) ),
i_0_55 ).
cnf(c_0_130,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_127]),c_0_128]) ).
cnf(c_0_131,hypothesis,
sdtasdt0(xp,sdtasdt0(xq,xq)) = sdtasdt0(xm,xm),
i_0_84 ).
cnf(c_0_132,hypothesis,
aNaturalNumber0(xp),
i_0_75 ).
cnf(c_0_133,plain,
( X1 = sz00
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_129]) ).
cnf(c_0_134,hypothesis,
doDivides0(xp,xn),
i_0_81 ).
cnf(c_0_135,hypothesis,
sdtsldt0(xn,xp) = xq,
i_0_83 ).
cnf(c_0_136,hypothesis,
aNaturalNumber0(xn),
i_0_77 ).
cnf(c_0_137,hypothesis,
sz00 != xp,
i_0_72 ).
cnf(c_0_138,hypothesis,
( doDivides0(xp,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132])]) ).
cnf(c_0_139,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_133,c_0_134]),c_0_135]),c_0_136]),c_0_132])]),c_0_137]) ).
cnf(c_0_140,plain,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| ~ doDivides0(X1,sdtasdt0(X3,X2)) ),
i_0_71 ).
cnf(c_0_141,plain,
doDivides0(xp,sdtasdt0(xm,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_128]),c_0_139])]) ).
cnf(c_0_142,hypothesis,
isPrime0(xp),
i_0_80 ).
cnf(c_0_143,hypothesis,
aNaturalNumber0(xm),
i_0_76 ).
cnf(c_0_144,plain,
( doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3) ),
i_0_56 ).
cnf(c_0_145,plain,
doDivides0(xp,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_142]),c_0_143]),c_0_132])]) ).
cnf(c_0_146,plain,
( sdtasdt0(sz10,X1) = X1
| ~ aNaturalNumber0(X1) ),
i_0_13 ).
cnf(c_0_147,plain,
aNaturalNumber0(sz10),
i_0_4 ).
cnf(c_0_148,plain,
( doDivides0(X1,xm)
| ~ doDivides0(X1,xp)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_132]),c_0_143])]) ).
cnf(c_0_149,plain,
( doDivides0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_146]),c_0_147])]) ).
cnf(c_0_150,plain,
( X1 = sz00
| X2 = sdtasdt0(X1,X3)
| X3 != sdtsldt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
i_0_54 ).
cnf(c_0_151,plain,
( sdtasdt0(X1,esk2_2(X1,X2)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
i_0_51 ).
cnf(c_0_152,plain,
doDivides0(sz10,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_147]),c_0_132])]) ).
cnf(c_0_153,plain,
( aNaturalNumber0(esk2_2(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2) ),
i_0_52 ).
cnf(c_0_154,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_11 ).
cnf(c_0_155,plain,
( sdtasdt0(X1,sdtsldt0(X2,X1)) = X2
| X1 = sz00
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_150]) ).
cnf(c_0_156,plain,
sdtasdt0(sz10,esk2_2(sz10,xm)) = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_143]),c_0_147])]) ).
cnf(c_0_157,plain,
aNaturalNumber0(esk2_2(sz10,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_152]),c_0_143]),c_0_147])]) ).
cnf(c_0_158,plain,
( doDivides0(X1,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_130,c_0_154]) ).
cnf(c_0_159,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_155,c_0_134]),c_0_135]),c_0_136]),c_0_132])]),c_0_137]) ).
cnf(c_0_160,plain,
esk2_2(sz10,xm) = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_156]),c_0_157])]) ).
cnf(c_0_161,hypothesis,
doDivides0(xq,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_132]),c_0_139])]) ).
cnf(c_0_162,plain,
sdtasdt0(sz10,xm) = xm,
inference(rw,[status(thm)],[c_0_156,c_0_160]) ).
cnf(c_0_163,plain,
( X1 = sz00
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
i_0_59 ).
cnf(c_0_164,hypothesis,
sz00 != xm,
i_0_73 ).
cnf(c_0_165,plain,
( sdtlseqdt0(X1,X2)
| sdtpldt0(X1,X3) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_26 ).
cnf(c_0_166,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_5 ).
cnf(c_0_167,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_144,c_0_161]),c_0_139]),c_0_136])]) ).
cnf(c_0_168,plain,
( doDivides0(X1,sdtasdt0(X2,X3))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_130]),c_0_128]) ).
cnf(c_0_169,plain,
doDivides0(xm,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_162]),c_0_147]),c_0_143])]) ).
cnf(c_0_170,plain,
( sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3) ),
i_0_34 ).
cnf(c_0_171,plain,
sdtlseqdt0(xp,xm),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_145]),c_0_132]),c_0_143])]),c_0_164]) ).
cnf(c_0_172,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_165]),c_0_166]) ).
cnf(c_0_173,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aNaturalNumber0(X1) ),
i_0_9 ).
cnf(c_0_174,plain,
aNaturalNumber0(sz00),
i_0_2 ).
cnf(c_0_175,plain,
doDivides0(sz10,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_149]),c_0_147]),c_0_139])]) ).
cnf(c_0_176,plain,
( doDivides0(xm,sdtasdt0(xm,X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_143])]) ).
cnf(c_0_177,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
i_0_16 ).
cnf(c_0_178,plain,
( sdtlseqdt0(X1,xm)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_132]),c_0_143])]) ).
cnf(c_0_179,plain,
( sdtlseqdt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
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,
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_151,c_0_175]),c_0_136]),c_0_147])]) ).
cnf(c_0_181,plain,
aNaturalNumber0(esk2_2(sz10,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_175]),c_0_136]),c_0_147])]) ).
cnf(c_0_182,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_183,plain,
doDivides0(xm,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_174]),c_0_143])]) ).
cnf(c_0_184,plain,
( X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_33 ).
cnf(c_0_185,plain,
sdtlseqdt0(sz00,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_174]),c_0_132])]) ).
cnf(c_0_186,plain,
esk2_2(sz10,xn) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_180]),c_0_181])]) ).
cnf(c_0_187,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_12 ).
cnf(c_0_188,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_182]),c_0_128]),c_0_130]) ).
cnf(c_0_189,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_47 ).
cnf(c_0_190,plain,
sdtasdt0(xm,esk2_2(xm,sz00)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_183]),c_0_174]),c_0_143])]) ).
cnf(c_0_191,plain,
aNaturalNumber0(esk2_2(xm,sz00)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_183]),c_0_174]),c_0_143])]) ).
cnf(c_0_192,plain,
~ sdtlseqdt0(xm,sz00),
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_174]),c_0_143])]),c_0_164]) ).
cnf(c_0_193,plain,
sdtasdt0(sz10,xn) = xn,
inference(rw,[status(thm)],[c_0_180,c_0_186]) ).
cnf(c_0_194,hypothesis,
sz00 != xn,
i_0_74 ).
cnf(c_0_195,plain,
( doDivides0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_187]),c_0_128]) ).
cnf(c_0_196,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_188,c_0_187]),c_0_128]) ).
cnf(c_0_197,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_131]),c_0_132])]) ).
cnf(c_0_198,plain,
esk2_2(xm,sz00) = sz00,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_143]),c_0_191])]),c_0_192]) ).
cnf(c_0_199,plain,
doDivides0(xn,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_193]),c_0_147]),c_0_136])]) ).
cnf(c_0_200,hypothesis,
sdtlseqdt0(xp,xn),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_134]),c_0_132]),c_0_136])]),c_0_194]) ).
cnf(c_0_201,plain,
( sdtasdt0(sz00,X1) = sz00
| ~ aNaturalNumber0(X1) ),
i_0_15 ).
cnf(c_0_202,hypothesis,
doDivides0(xn,sdtasdt0(xm,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_131]),c_0_159]),c_0_139]),c_0_132])]) ).
cnf(c_0_203,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_196,c_0_131]),c_0_159]),c_0_159]),c_0_139]),c_0_132])]),c_0_194]) ).
cnf(c_0_204,plain,
aNaturalNumber0(sdtasdt0(xm,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_128]),c_0_139])]) ).
cnf(c_0_205,plain,
sdtasdt0(xm,sz00) = sz00,
inference(rw,[status(thm)],[c_0_190,c_0_198]) ).
cnf(c_0_206,plain,
( doDivides0(xn,sdtasdt0(xn,X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_199]),c_0_136])]) ).
cnf(c_0_207,plain,
( sdtlseqdt0(X1,xn)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_200]),c_0_132]),c_0_136])]) ).
cnf(c_0_208,plain,
( sdtasdt0(sz00,sdtasdt0(X1,X2)) = sdtasdt0(sz00,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_201]),c_0_174])]) ).
cnf(c_0_209,plain,
sdtasdt0(xm,xm) = sdtasdt0(xn,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_155,c_0_202]),c_0_203]),c_0_204]),c_0_136])]),c_0_194]) ).
cnf(c_0_210,plain,
sdtasdt0(sz00,xm) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_205]),c_0_143]),c_0_174])]) ).
cnf(c_0_211,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_25 ).
cnf(c_0_212,plain,
doDivides0(xn,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_177]),c_0_174]),c_0_136])]) ).
cnf(c_0_213,plain,
sdtlseqdt0(sz00,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_179]),c_0_174]),c_0_132])]) ).
cnf(c_0_214,plain,
( X1 = X2
| X3 = sz00
| sdtasdt0(X1,X3) != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
i_0_21 ).
cnf(c_0_215,plain,
sdtasdt0(sz00,sdtasdt0(xn,xq)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_210]),c_0_143])]) ).
cnf(c_0_216,plain,
aNaturalNumber0(sdtasdt0(xn,xq)),
inference(rw,[status(thm)],[c_0_204,c_0_209]) ).
cnf(c_0_217,plain,
sdtasdt0(xn,xq) != sz00,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_209]),c_0_143])]),c_0_164]) ).
cnf(c_0_218,plain,
( X1 = X2
| iLess0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_49 ).
cnf(c_0_219,hypothesis,
sdtlseqdt0(xm,xn),
i_0_85 ).
cnf(c_0_220,hypothesis,
xm != xn,
i_0_86 ).
cnf(c_0_221,plain,
sdtasdt0(xn,esk2_2(xn,sz00)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_212]),c_0_174]),c_0_136])]) ).
cnf(c_0_222,plain,
aNaturalNumber0(esk2_2(xn,sz00)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_212]),c_0_174]),c_0_136])]) ).
cnf(c_0_223,plain,
~ sdtlseqdt0(xn,sz00),
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_213]),c_0_174]),c_0_136])]),c_0_194]) ).
cnf(c_0_224,plain,
( sz00 = X1
| sdtasdt0(X1,sdtasdt0(xn,xq)) != sz00
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_216]),c_0_174])]),c_0_217]) ).
cnf(c_0_225,plain,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(X2,sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_187]),c_0_128]) ).
cnf(c_0_226,hypothesis,
( X1 = sz00
| X2 = sz00
| X3 = sz00
| sdtasdt0(X1,sdtasdt0(X2,X2)) != sdtasdt0(X3,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| ~ iLess0(X3,xn) ),
i_0_78 ).
cnf(c_0_227,hypothesis,
iLess0(xm,xn),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_136]),c_0_143])]),c_0_220]) ).
cnf(c_0_228,plain,
esk2_2(xn,sz00) = sz00,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_221]),c_0_136]),c_0_222])]),c_0_223]) ).
cnf(c_0_229,plain,
( sz00 = X1
| sdtasdt0(xq,sdtasdt0(X1,xn)) != sz00
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_139]),c_0_136])]) ).
cnf(c_0_230,plain,
sz00 != sz10,
i_0_3 ).
cnf(c_0_231,hypothesis,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X1,sdtasdt0(X2,X2)) != sdtasdt0(xn,xq)
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_143])]),c_0_164]),c_0_209]) ).
cnf(c_0_232,hypothesis,
sdtasdt0(xp,sdtasdt0(xq,xq)) = sdtasdt0(xn,xq),
inference(rw,[status(thm)],[c_0_131,c_0_209]) ).
cnf(c_0_233,plain,
sdtasdt0(xn,sz00) = sz00,
inference(rw,[status(thm)],[c_0_221,c_0_228]) ).
cnf(c_0_234,plain,
sdtasdt0(xq,xn) != sz00,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_146]),c_0_147]),c_0_136])]),c_0_230]) ).
cnf(c_0_235,hypothesis,
xq = sz00,
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_231,c_0_232]),c_0_142]),c_0_139]),c_0_132])]),c_0_137]) ).
cnf(c_0_236,plain,
sdtasdt0(sz00,xn) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_233]),c_0_136]),c_0_174])]) ).
cnf(c_0_237,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_234,c_0_235]),c_0_236])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM529+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % 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 : Thu Jul 7 05:22:55 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 10.52/2.82 # ENIGMATIC: Solved by autoschedule:
% 10.52/2.82 # No SInE strategy applied
% 10.52/2.82 # Trying AutoSched0 for 150 seconds
% 10.52/2.82 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 10.52/2.82 # and selection function SelectNewComplexAHP.
% 10.52/2.82 #
% 10.52/2.82 # Preprocessing time : 0.025 s
% 10.52/2.82 # Presaturation interreduction done
% 10.52/2.82
% 10.52/2.82 # Proof found!
% 10.52/2.82 # SZS status Theorem
% 10.52/2.82 # SZS output start CNFRefutation
% See solution above
% 10.52/2.82 # Training examples: 0 positive, 0 negative
% 10.52/2.82
% 10.52/2.82 # -------------------------------------------------
% 10.52/2.82 # User time : 0.337 s
% 10.52/2.82 # System time : 0.016 s
% 10.52/2.82 # Total time : 0.353 s
% 10.52/2.82 # Maximum resident set size: 7116 pages
% 10.52/2.82
%------------------------------------------------------------------------------