TSTP Solution File: NUM510+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM510+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n008.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 08:36:47 EDT 2022
% Result : Theorem 8.37s 2.13s
% Output : CNFRefutation 8.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 27
% Syntax : Number of clauses : 87 ( 45 unt; 21 nHn; 87 RR)
% Number of literals : 193 ( 70 equ; 100 neg)
% Maximal clause size : 6 ( 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; 7 con; 0-2 aty)
% Number of variables : 61 ( 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-rvt9pllj/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-rvt9pllj/input.p',i_0_6) ).
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-rvt9pllj/input.p',i_0_56) ).
cnf(i_0_96,hypothesis,
doDivides0(xr,xn),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rvt9pllj/input.p',i_0_96) ).
cnf(i_0_90,hypothesis,
aNaturalNumber0(xr),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rvt9pllj/input.p',i_0_90) ).
cnf(i_0_73,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rvt9pllj/input.p',i_0_73) ).
cnf(i_0_13,plain,
( sdtasdt0(sz10,X1) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rvt9pllj/input.p',i_0_13) ).
cnf(i_0_4,plain,
aNaturalNumber0(sz10),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rvt9pllj/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-rvt9pllj/input.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/sandbox2/tmp/enigma-theBenchmark.p-rvt9pllj/input.p',i_0_55) ).
cnf(i_0_3,plain,
sz00 != sz10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rvt9pllj/input.p',i_0_3) ).
cnf(i_0_47,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rvt9pllj/input.p',i_0_47) ).
cnf(i_0_11,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rvt9pllj/input.p',i_0_11) ).
cnf(i_0_97,negated_conjecture,
( sdtsldt0(xn,xr) = xn
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rvt9pllj/input.p',i_0_97) ).
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-rvt9pllj/input.p',i_0_21) ).
cnf(i_0_66,plain,
( X1 != sz10
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rvt9pllj/input.p',i_0_66) ).
cnf(i_0_88,hypothesis,
isPrime0(xr),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rvt9pllj/input.p',i_0_88) ).
cnf(i_0_67,plain,
( X1 != sz00
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rvt9pllj/input.p',i_0_67) ).
cnf(i_0_2,plain,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rvt9pllj/input.p',i_0_2) ).
cnf(i_0_75,hypothesis,
doDivides0(xp,sdtasdt0(xn,xm)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rvt9pllj/input.p',i_0_75) ).
cnf(i_0_83,hypothesis,
sdtsldt0(sdtasdt0(xn,xm),xp) = xk,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rvt9pllj/input.p',i_0_83) ).
cnf(i_0_71,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rvt9pllj/input.p',i_0_71) ).
cnf(i_0_15,plain,
( sdtasdt0(sz00,X1) = sz00
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rvt9pllj/input.p',i_0_15) ).
cnf(i_0_72,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rvt9pllj/input.p',i_0_72) ).
cnf(i_0_82,hypothesis,
xp != xn,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rvt9pllj/input.p',i_0_82) ).
cnf(i_0_77,hypothesis,
~ sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rvt9pllj/input.p',i_0_77) ).
cnf(i_0_85,hypothesis,
sz00 != xk,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rvt9pllj/input.p',i_0_85) ).
cnf(c_0_125,plain,
( doDivides0(X1,X2)
| X2 != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
i_0_50 ).
cnf(c_0_126,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_6 ).
cnf(c_0_127,plain,
( doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3) ),
i_0_56 ).
cnf(c_0_128,hypothesis,
doDivides0(xr,xn),
i_0_96 ).
cnf(c_0_129,hypothesis,
aNaturalNumber0(xr),
i_0_90 ).
cnf(c_0_130,hypothesis,
aNaturalNumber0(xn),
i_0_73 ).
cnf(c_0_131,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_125]),c_0_126]) ).
cnf(c_0_132,plain,
( sdtasdt0(sz10,X1) = X1
| ~ aNaturalNumber0(X1) ),
i_0_13 ).
cnf(c_0_133,plain,
aNaturalNumber0(sz10),
i_0_4 ).
cnf(c_0_134,plain,
( X1 = sz00
| X2 = sdtasdt0(X1,X3)
| X3 != sdtsldt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
i_0_54 ).
cnf(c_0_135,hypothesis,
( doDivides0(X1,xn)
| ~ doDivides0(X1,xr)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129]),c_0_130])]) ).
cnf(c_0_136,plain,
( doDivides0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_133])]) ).
cnf(c_0_137,plain,
( X1 = sz00
| aNaturalNumber0(X2)
| X2 != sdtsldt0(X3,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X3) ),
i_0_55 ).
cnf(c_0_138,plain,
( sdtasdt0(X1,sdtsldt0(X2,X1)) = X2
| X1 = sz00
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_134]) ).
cnf(c_0_139,plain,
doDivides0(sz10,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_133]),c_0_129])]) ).
cnf(c_0_140,plain,
sz00 != sz10,
i_0_3 ).
cnf(c_0_141,plain,
( X1 = sz00
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_137]) ).
cnf(c_0_142,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_47 ).
cnf(c_0_143,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_11 ).
cnf(c_0_144,plain,
sdtasdt0(sz10,sdtsldt0(xn,sz10)) = xn,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_130]),c_0_133])]),c_0_140]) ).
cnf(c_0_145,plain,
aNaturalNumber0(sdtsldt0(xn,sz10)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_139]),c_0_130]),c_0_133])]),c_0_140]) ).
cnf(c_0_146,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_147,hypothesis,
( sdtasdt0(xr,sdtsldt0(xn,xr)) = xn
| xr = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_128]),c_0_130]),c_0_129])]) ).
cnf(c_0_148,hypothesis,
( xr = sz00
| aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_128]),c_0_130]),c_0_129])]) ).
cnf(c_0_149,plain,
sdtsldt0(xn,sz10) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_144]),c_0_145])]) ).
cnf(c_0_150,negated_conjecture,
( sdtsldt0(xn,xr) = xn
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
i_0_97 ).
cnf(c_0_151,hypothesis,
( xr = sz00
| sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_129])]),c_0_148]) ).
cnf(c_0_152,plain,
( X1 = X2
| X3 = sz00
| sdtasdt0(X1,X3) != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
i_0_21 ).
cnf(c_0_153,plain,
sdtasdt0(sz10,xn) = xn,
inference(rw,[status(thm)],[c_0_144,c_0_149]) ).
cnf(c_0_154,negated_conjecture,
( sdtsldt0(xn,xr) = xn
| xr = sz00 ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_155,plain,
( xn = sz00
| sz10 = X1
| sdtasdt0(X1,xn) != xn
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_130]),c_0_133])]) ).
cnf(c_0_156,hypothesis,
( sdtasdt0(xr,xn) = xn
| xr = sz00 ),
inference(spm,[status(thm)],[c_0_147,c_0_154]) ).
cnf(c_0_157,plain,
( X1 != sz10
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X1) ),
i_0_66 ).
cnf(c_0_158,hypothesis,
isPrime0(xr),
i_0_88 ).
cnf(c_0_159,plain,
( xr = sz00
| xr = sz10
| xn = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_129])]) ).
cnf(c_0_160,plain,
~ isPrime0(sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_157]),c_0_133])]) ).
cnf(c_0_161,plain,
( X1 != sz00
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X1) ),
i_0_67 ).
cnf(c_0_162,plain,
aNaturalNumber0(sz00),
i_0_2 ).
cnf(c_0_163,hypothesis,
( xn = sz00
| xr = sz00 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_160]) ).
cnf(c_0_164,plain,
~ isPrime0(sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_161]),c_0_162])]) ).
cnf(c_0_165,hypothesis,
doDivides0(xp,sdtasdt0(xn,xm)),
i_0_75 ).
cnf(c_0_166,hypothesis,
xn = sz00,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_163]),c_0_164]) ).
cnf(c_0_167,hypothesis,
sdtsldt0(sdtasdt0(xn,xm),xp) = xk,
i_0_83 ).
cnf(c_0_168,hypothesis,
aNaturalNumber0(xp),
i_0_71 ).
cnf(c_0_169,hypothesis,
doDivides0(xp,sdtasdt0(sz00,xm)),
inference(rw,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_170,plain,
( sdtasdt0(sz00,X1) = sz00
| ~ aNaturalNumber0(X1) ),
i_0_15 ).
cnf(c_0_171,hypothesis,
aNaturalNumber0(xm),
i_0_72 ).
cnf(c_0_172,hypothesis,
xp != xn,
i_0_82 ).
cnf(c_0_173,hypothesis,
sdtsldt0(sdtasdt0(sz00,xm),xp) = xk,
inference(rw,[status(thm)],[c_0_167,c_0_166]) ).
cnf(c_0_174,hypothesis,
( xp = sz00
| aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_165]),c_0_167]),c_0_168])]) ).
cnf(c_0_175,plain,
doDivides0(xp,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_171])]) ).
cnf(c_0_176,hypothesis,
xp != sz00,
inference(rw,[status(thm)],[c_0_172,c_0_166]) ).
cnf(c_0_177,plain,
sdtsldt0(sz00,xp) = xk,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_170]),c_0_171])]) ).
cnf(c_0_178,plain,
( xp = sz00
| aNaturalNumber0(xk) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_126]),c_0_171]),c_0_130])]) ).
cnf(c_0_179,hypothesis,
~ sdtlseqdt0(xp,xn),
i_0_77 ).
cnf(c_0_180,plain,
sdtasdt0(xp,xk) = sz00,
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_175]),c_0_162]),c_0_168])]),c_0_176]),c_0_177]) ).
cnf(c_0_181,plain,
aNaturalNumber0(xk),
inference(sr,[status(thm)],[c_0_178,c_0_176]) ).
cnf(c_0_182,hypothesis,
sz00 != xk,
i_0_85 ).
cnf(c_0_183,hypothesis,
~ sdtlseqdt0(xp,sz00),
inference(rw,[status(thm)],[c_0_179,c_0_166]) ).
cnf(c_0_184,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_180]),c_0_168]),c_0_181])]),c_0_182]),c_0_183]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : NUM510+1 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.08 % Command : enigmatic-eprover.py %s %d 1
% 0.06/0.27 % Computer : n008.cluster.edu
% 0.06/0.27 % Model : x86_64 x86_64
% 0.06/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.27 % Memory : 8042.1875MB
% 0.06/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.27 % CPULimit : 300
% 0.06/0.27 % WCLimit : 600
% 0.06/0.27 % DateTime : Tue Jul 5 21:38:11 EDT 2022
% 0.06/0.27 % CPUTime :
% 0.10/0.32 # ENIGMATIC: Selected complete mode:
% 8.37/2.13 # ENIGMATIC: Solved by autoschedule:
% 8.37/2.13 # No SInE strategy applied
% 8.37/2.13 # Trying AutoSched0 for 150 seconds
% 8.37/2.13 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 8.37/2.13 # and selection function SelectNewComplexAHP.
% 8.37/2.13 #
% 8.37/2.13 # Preprocessing time : 0.013 s
% 8.37/2.13 # Presaturation interreduction done
% 8.37/2.13
% 8.37/2.13 # Proof found!
% 8.37/2.13 # SZS status Theorem
% 8.37/2.13 # SZS output start CNFRefutation
% See solution above
% 8.37/2.13 # Training examples: 0 positive, 0 negative
% 8.37/2.13
% 8.37/2.13 # -------------------------------------------------
% 8.37/2.13 # User time : 0.094 s
% 8.37/2.13 # System time : 0.003 s
% 8.37/2.13 # Total time : 0.096 s
% 8.37/2.13 # Maximum resident set size: 7116 pages
% 8.37/2.13
%------------------------------------------------------------------------------