TSTP Solution File: NUM448+5 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM448+5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n020.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 08:36:06 EDT 2022
% Result : Theorem 8.16s 2.43s
% Output : CNFRefutation 8.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of clauses : 50 ( 7 unt; 16 nHn; 50 RR)
% Number of literals : 128 ( 36 equ; 66 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-1 aty)
% Number of variables : 34 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_144,negated_conjecture,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-owkgxki7/input.p',i_0_144) ).
cnf(i_0_139,negated_conjecture,
( esk23_0 = sz10
| smndt0(sz10) = esk23_0
| aElementOf0(esk23_0,stldt0(sbsmnsldt0(xS))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-owkgxki7/input.p',i_0_139) ).
cnf(i_0_4,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-owkgxki7/input.p',i_0_4) ).
cnf(i_0_3,plain,
aInteger0(sz10),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-owkgxki7/input.p',i_0_3) ).
cnf(i_0_39,plain,
( X1 != smndt0(sz10)
| ~ aInteger0(X1)
| ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-owkgxki7/input.p',i_0_39) ).
cnf(i_0_158,negated_conjecture,
( aDivisorOf0(esk19_1(X1),X1)
| ~ aInteger0(X1)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-owkgxki7/input.p',i_0_158) ).
cnf(i_0_149,negated_conjecture,
( aInteger0(X1)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-owkgxki7/input.p',i_0_149) ).
cnf(i_0_157,negated_conjecture,
( isPrime0(esk19_1(X1))
| ~ aInteger0(X1)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-owkgxki7/input.p',i_0_157) ).
cnf(i_0_38,plain,
( X1 = sz10
| X1 = smndt0(sz10)
| aDivisorOf0(esk2_1(X1),X1)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-owkgxki7/input.p',i_0_38) ).
cnf(i_0_37,plain,
( X1 = sz10
| X1 = smndt0(sz10)
| isPrime0(esk2_1(X1))
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-owkgxki7/input.p',i_0_37) ).
cnf(i_0_143,negated_conjecture,
( ~ aElementOf0(X1,sbsmnsldt0(xS))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-owkgxki7/input.p',i_0_143) ).
cnf(i_0_142,negated_conjecture,
( aElementOf0(X1,sbsmnsldt0(xS))
| aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-owkgxki7/input.p',i_0_142) ).
cnf(i_0_151,negated_conjecture,
( aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1)
| ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-owkgxki7/input.p',i_0_151) ).
cnf(i_0_40,plain,
( X1 != sz10
| ~ aInteger0(X1)
| ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-owkgxki7/input.p',i_0_40) ).
cnf(i_0_140,negated_conjecture,
( smndt0(sz10) != esk23_0
| ~ aElementOf0(esk23_0,stldt0(sbsmnsldt0(xS))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-owkgxki7/input.p',i_0_140) ).
cnf(i_0_141,negated_conjecture,
( esk23_0 != sz10
| ~ aElementOf0(esk23_0,stldt0(sbsmnsldt0(xS))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-owkgxki7/input.p',i_0_141) ).
cnf(c_0_175,negated_conjecture,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
i_0_144 ).
cnf(c_0_176,negated_conjecture,
( esk23_0 = sz10
| smndt0(sz10) = esk23_0
| aElementOf0(esk23_0,stldt0(sbsmnsldt0(xS))) ),
i_0_139 ).
cnf(c_0_177,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
i_0_4 ).
cnf(c_0_178,negated_conjecture,
( smndt0(sz10) = esk23_0
| esk23_0 = sz10
| aInteger0(esk23_0) ),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_179,plain,
aInteger0(sz10),
i_0_3 ).
cnf(c_0_180,plain,
( X1 != smndt0(sz10)
| ~ aInteger0(X1)
| ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X1) ),
i_0_39 ).
cnf(c_0_181,negated_conjecture,
( aDivisorOf0(esk19_1(X1),X1)
| ~ aInteger0(X1)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
i_0_158 ).
cnf(c_0_182,negated_conjecture,
( aInteger0(X1)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
i_0_149 ).
cnf(c_0_183,negated_conjecture,
( isPrime0(esk19_1(X1))
| ~ aInteger0(X1)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
i_0_157 ).
cnf(c_0_184,plain,
( X1 = sz10
| X1 = smndt0(sz10)
| aDivisorOf0(esk2_1(X1),X1)
| ~ aInteger0(X1) ),
i_0_38 ).
cnf(c_0_185,plain,
( esk23_0 = sz10
| aInteger0(esk23_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_179])]) ).
cnf(c_0_186,plain,
( X1 = sz10
| X1 = smndt0(sz10)
| isPrime0(esk2_1(X1))
| ~ aInteger0(X1) ),
i_0_37 ).
cnf(c_0_187,negated_conjecture,
( ~ aElementOf0(X1,sbsmnsldt0(xS))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
i_0_143 ).
cnf(c_0_188,negated_conjecture,
( aElementOf0(X1,sbsmnsldt0(xS))
| aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X1) ),
i_0_142 ).
cnf(c_0_189,plain,
( ~ aDivisorOf0(X1,smndt0(sz10))
| ~ isPrime0(X1)
| ~ aInteger0(smndt0(sz10)) ),
inference(er,[status(thm)],[c_0_180]) ).
cnf(c_0_190,negated_conjecture,
( aDivisorOf0(esk19_1(X1),X1)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(csr,[status(thm)],[c_0_181,c_0_182]) ).
cnf(c_0_191,negated_conjecture,
( isPrime0(esk19_1(X1))
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(csr,[status(thm)],[c_0_183,c_0_182]) ).
cnf(c_0_192,negated_conjecture,
( aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1)
| ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X1) ),
i_0_151 ).
cnf(c_0_193,plain,
( smndt0(sz10) = esk23_0
| esk23_0 = sz10
| aDivisorOf0(esk2_1(esk23_0),esk23_0) ),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_194,plain,
( smndt0(sz10) = esk23_0
| esk23_0 = sz10
| isPrime0(esk2_1(esk23_0)) ),
inference(spm,[status(thm)],[c_0_186,c_0_185]) ).
cnf(c_0_195,negated_conjecture,
( smndt0(sz10) = esk23_0
| esk23_0 = sz10
| ~ aElementOf0(esk23_0,sbsmnsldt0(xS)) ),
inference(spm,[status(thm)],[c_0_187,c_0_176]) ).
cnf(c_0_196,plain,
( X1 != sz10
| ~ aInteger0(X1)
| ~ isPrime0(X2)
| ~ aDivisorOf0(X2,X1) ),
i_0_40 ).
cnf(c_0_197,negated_conjecture,
( smndt0(sz10) != esk23_0
| ~ aElementOf0(esk23_0,stldt0(sbsmnsldt0(xS))) ),
i_0_140 ).
cnf(c_0_198,plain,
( esk23_0 = sz10
| aElementOf0(esk23_0,stldt0(sbsmnsldt0(xS)))
| aElementOf0(esk23_0,sbsmnsldt0(xS)) ),
inference(spm,[status(thm)],[c_0_188,c_0_185]) ).
cnf(c_0_199,plain,
~ aElementOf0(smndt0(sz10),sbsmnsldt0(xS)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_182]),c_0_191]) ).
cnf(c_0_200,negated_conjecture,
( smndt0(sz10) = esk23_0
| esk23_0 = sz10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_185]),c_0_194]),c_0_195]) ).
cnf(c_0_201,plain,
( ~ aDivisorOf0(X1,sz10)
| ~ isPrime0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_196]),c_0_179])]) ).
cnf(c_0_202,negated_conjecture,
( esk23_0 = sz10
| aElementOf0(esk23_0,sbsmnsldt0(xS))
| smndt0(sz10) != esk23_0 ),
inference(spm,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_203,plain,
( esk23_0 = sz10
| ~ aElementOf0(esk23_0,sbsmnsldt0(xS)) ),
inference(spm,[status(thm)],[c_0_199,c_0_200]) ).
cnf(c_0_204,plain,
~ aElementOf0(sz10,sbsmnsldt0(xS)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_190]),c_0_191]) ).
cnf(c_0_205,negated_conjecture,
( esk23_0 != sz10
| ~ aElementOf0(esk23_0,stldt0(sbsmnsldt0(xS))) ),
i_0_141 ).
cnf(c_0_206,negated_conjecture,
esk23_0 = sz10,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_200]),c_0_203]) ).
cnf(c_0_207,plain,
aElementOf0(sz10,stldt0(sbsmnsldt0(xS))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_179]),c_0_204]) ).
cnf(c_0_208,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_205,c_0_206]),c_0_206]),c_0_207])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM448+5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 5 18:22:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 8.16/2.43 # ENIGMATIC: Solved by autoschedule:
% 8.16/2.43 # No SInE strategy applied
% 8.16/2.43 # Trying AutoSched0 for 150 seconds
% 8.16/2.43 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
% 8.16/2.43 # and selection function PSelectComplexExceptUniqMaxHorn.
% 8.16/2.43 #
% 8.16/2.43 # Preprocessing time : 0.017 s
% 8.16/2.43 # Presaturation interreduction done
% 8.16/2.43
% 8.16/2.43 # Proof found!
% 8.16/2.43 # SZS status Theorem
% 8.16/2.43 # SZS output start CNFRefutation
% See solution above
% 8.16/2.43 # Training examples: 0 positive, 0 negative
% 8.16/2.43
% 8.16/2.43 # -------------------------------------------------
% 8.16/2.43 # User time : 0.030 s
% 8.16/2.43 # System time : 0.007 s
% 8.16/2.43 # Total time : 0.037 s
% 8.16/2.43 # Maximum resident set size: 7120 pages
% 8.16/2.43
%------------------------------------------------------------------------------