TSTP Solution File: NUM498+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM498+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n007.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 08:36:39 EDT 2022
% Result : Theorem 9.16s 2.60s
% Output : CNFRefutation 9.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 23
% Syntax : Number of clauses : 67 ( 27 unt; 21 nHn; 67 RR)
% Number of literals : 162 ( 71 equ; 76 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 : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 47 ( 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-5at7vqk2/lgb.p',i_0_54) ).
cnf(i_0_75,hypothesis,
doDivides0(xp,sdtasdt0(xn,xm)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5at7vqk2/lgb.p',i_0_75) ).
cnf(i_0_83,hypothesis,
sdtsldt0(sdtasdt0(xn,xm),xp) = xk,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5at7vqk2/lgb.p',i_0_83) ).
cnf(i_0_71,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5at7vqk2/lgb.p',i_0_71) ).
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-5at7vqk2/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-5at7vqk2/lgb.p',i_0_6) ).
cnf(i_0_72,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5at7vqk2/lgb.p',i_0_72) ).
cnf(i_0_73,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5at7vqk2/lgb.p',i_0_73) ).
cnf(i_0_27,plain,
( sdtpldt0(X1,esk1_2(X1,X2)) = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5at7vqk2/lgb.p',i_0_27) ).
cnf(i_0_79,hypothesis,
sdtlseqdt0(xm,xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5at7vqk2/lgb.p',i_0_79) ).
cnf(i_0_28,plain,
( aNaturalNumber0(esk1_2(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5at7vqk2/lgb.p',i_0_28) ).
cnf(i_0_86,negated_conjecture,
( sz00 = xk
| xk = sz10 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5at7vqk2/lgb.p',i_0_86) ).
cnf(i_0_24,plain,
( X1 = sz00
| sdtpldt0(X1,X2) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5at7vqk2/lgb.p',i_0_24) ).
cnf(i_0_14,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5at7vqk2/lgb.p',i_0_14) ).
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-5at7vqk2/lgb.p',i_0_25) ).
cnf(i_0_65,plain,
( X1 = X2
| X1 = sz10
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X2)
| ~ doDivides0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5at7vqk2/lgb.p',i_0_65) ).
cnf(i_0_76,hypothesis,
isPrime0(xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5at7vqk2/lgb.p',i_0_76) ).
cnf(i_0_82,hypothesis,
xp != xn,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5at7vqk2/lgb.p',i_0_82) ).
cnf(i_0_16,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5at7vqk2/lgb.p',i_0_16) ).
cnf(i_0_84,negated_conjecture,
~ doDivides0(xp,xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5at7vqk2/lgb.p',i_0_84) ).
cnf(i_0_2,plain,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5at7vqk2/lgb.p',i_0_2) ).
cnf(i_0_13,plain,
( sdtasdt0(sz10,X1) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5at7vqk2/lgb.p',i_0_13) ).
cnf(i_0_85,negated_conjecture,
~ doDivides0(xp,xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5at7vqk2/lgb.p',i_0_85) ).
cnf(c_0_110,plain,
( X1 = sz00
| X2 = sdtasdt0(X1,X3)
| X3 != sdtsldt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
i_0_54 ).
cnf(c_0_111,plain,
( sdtasdt0(X1,sdtsldt0(X2,X1)) = X2
| X1 = sz00
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_110]) ).
cnf(c_0_112,hypothesis,
doDivides0(xp,sdtasdt0(xn,xm)),
i_0_75 ).
cnf(c_0_113,hypothesis,
sdtsldt0(sdtasdt0(xn,xm),xp) = xk,
i_0_83 ).
cnf(c_0_114,hypothesis,
aNaturalNumber0(xp),
i_0_71 ).
cnf(c_0_115,plain,
( doDivides0(X1,X2)
| X2 != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
i_0_50 ).
cnf(c_0_116,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_6 ).
cnf(c_0_117,hypothesis,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| xp = sz00
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]),c_0_114])]) ).
cnf(c_0_118,hypothesis,
aNaturalNumber0(xm),
i_0_72 ).
cnf(c_0_119,hypothesis,
aNaturalNumber0(xn),
i_0_73 ).
cnf(c_0_120,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_115]),c_0_116]) ).
cnf(c_0_121,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| xp = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_116]),c_0_118]),c_0_119])]) ).
cnf(c_0_122,plain,
( sdtpldt0(X1,esk1_2(X1,X2)) = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_27 ).
cnf(c_0_123,hypothesis,
sdtlseqdt0(xm,xp),
i_0_79 ).
cnf(c_0_124,plain,
( aNaturalNumber0(esk1_2(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_28 ).
cnf(c_0_125,plain,
( xp = sz00
| doDivides0(xn,sdtasdt0(xp,xk)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_118]),c_0_119])]) ).
cnf(c_0_126,negated_conjecture,
( sz00 = xk
| xk = sz10 ),
i_0_86 ).
cnf(c_0_127,plain,
( X1 = sz00
| sdtpldt0(X1,X2) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_24 ).
cnf(c_0_128,hypothesis,
sdtpldt0(xm,esk1_2(xm,xp)) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_114]),c_0_118])]) ).
cnf(c_0_129,hypothesis,
aNaturalNumber0(esk1_2(xm,xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_123]),c_0_114]),c_0_118])]) ).
cnf(c_0_130,negated_conjecture,
( xk = sz00
| xp = sz00
| doDivides0(xn,sdtasdt0(xp,sz10)) ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_131,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
i_0_14 ).
cnf(c_0_132,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_25 ).
cnf(c_0_133,plain,
( xm = sz00
| xp != sz00 ),
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_118])]) ).
cnf(c_0_134,plain,
( X1 = X2
| X1 = sz10
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X2)
| ~ doDivides0(X1,X2) ),
i_0_65 ).
cnf(c_0_135,plain,
( xp = sz00
| xk = sz00
| doDivides0(xn,xp) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_114])]) ).
cnf(c_0_136,hypothesis,
isPrime0(xp),
i_0_76 ).
cnf(c_0_137,hypothesis,
xp != xn,
i_0_82 ).
cnf(c_0_138,plain,
( xm = sz00
| xn = sz00
| sdtasdt0(xp,xk) != sz00 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_121]),c_0_119]),c_0_118])]),c_0_133]) ).
cnf(c_0_139,plain,
( xk = sz00
| xp = sz00
| 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_134,c_0_135]),c_0_136]),c_0_114]),c_0_119])]),c_0_137]) ).
cnf(c_0_140,plain,
( xn = sz10
| xn = sz00
| xm = sz00
| sdtasdt0(xp,sz00) != sz00 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_133]) ).
cnf(c_0_141,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
i_0_16 ).
cnf(c_0_142,negated_conjecture,
~ doDivides0(xp,xm),
i_0_84 ).
cnf(c_0_143,plain,
( xm = sz00
| xn = sz00
| xn = sz10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_114])]) ).
cnf(c_0_144,plain,
aNaturalNumber0(sz00),
i_0_2 ).
cnf(c_0_145,negated_conjecture,
( xn = sz10
| xn = sz00
| ~ doDivides0(xp,sz00) ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_146,plain,
( doDivides0(X1,sz00)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_141]),c_0_144])]) ).
cnf(c_0_147,plain,
( xn = sz00
| xn = sz10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_114])]) ).
cnf(c_0_148,hypothesis,
( xn = sz00
| doDivides0(xp,sdtasdt0(sz10,xm)) ),
inference(spm,[status(thm)],[c_0_112,c_0_147]) ).
cnf(c_0_149,plain,
( sdtasdt0(sz10,X1) = X1
| ~ aNaturalNumber0(X1) ),
i_0_13 ).
cnf(c_0_150,negated_conjecture,
~ doDivides0(xp,xn),
i_0_85 ).
cnf(c_0_151,plain,
xn = sz00,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_118])]),c_0_142]) ).
cnf(c_0_152,negated_conjecture,
~ doDivides0(xp,sz00),
inference(rw,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_153,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_146]),c_0_114])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUM498+1 : TPTP v8.1.0. Released v4.0.0.
% 0.14/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jul 7 19:04:16 EDT 2022
% 0.21/0.36 % CPUTime :
% 0.21/0.47 # ENIGMATIC: Selected complete mode:
% 9.16/2.60 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.16/2.60 # No SInE strategy applied
% 9.16/2.60 # Trying AutoSched0 for 150 seconds
% 9.16/2.60 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 9.16/2.60 # and selection function SelectNewComplexAHP.
% 9.16/2.60 #
% 9.16/2.60 # Preprocessing time : 0.014 s
% 9.16/2.60 # Presaturation interreduction done
% 9.16/2.60
% 9.16/2.60 # Proof found!
% 9.16/2.60 # SZS status Theorem
% 9.16/2.60 # SZS output start CNFRefutation
% See solution above
% 9.16/2.60 # Training examples: 0 positive, 0 negative
% 9.16/2.60
% 9.16/2.60 # -------------------------------------------------
% 9.16/2.60 # User time : 0.028 s
% 9.16/2.60 # System time : 0.006 s
% 9.16/2.60 # Total time : 0.034 s
% 9.16/2.60 # Maximum resident set size: 7128 pages
% 9.16/2.60
%------------------------------------------------------------------------------