%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM469+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 08:36:20 EDT 2022
% Result : Theorem 8.97s 2.50s
% Output : CNFRefutation 8.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 20
% Syntax : Number of clauses : 63 ( 23 unt; 5 nHn; 63 RR)
% Number of literals : 151 ( 29 equ; 91 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 57 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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-7m6p2kqd/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-7m6p2kqd/lgb.p',i_0_6) ).
cnf(i_0_62,hypothesis,
( sz00 = xl
| sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sdtpldt0(xm,xn) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7m6p2kqd/lgb.p',i_0_62) ).
cnf(i_0_59,hypothesis,
aNaturalNumber0(xl),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7m6p2kqd/lgb.p',i_0_59) ).
cnf(i_0_63,negated_conjecture,
~ doDivides0(xl,sdtpldt0(xm,xn)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7m6p2kqd/lgb.p',i_0_63) ).
cnf(i_0_5,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7m6p2kqd/lgb.p',i_0_5) ).
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-7m6p2kqd/lgb.p',i_0_55) ).
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-7m6p2kqd/lgb.p',i_0_56) ).
cnf(i_0_57,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7m6p2kqd/lgb.p',i_0_57) ).
cnf(i_0_60,hypothesis,
doDivides0(xl,xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7m6p2kqd/lgb.p',i_0_60) ).
cnf(i_0_58,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7m6p2kqd/lgb.p',i_0_58) ).
cnf(i_0_15,plain,
( sdtasdt0(sz00,X1) = sz00
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7m6p2kqd/lgb.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-7m6p2kqd/lgb.p',i_0_51) ).
cnf(i_0_2,plain,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7m6p2kqd/lgb.p',i_0_2) ).
cnf(i_0_61,hypothesis,
doDivides0(xl,xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7m6p2kqd/lgb.p',i_0_61) ).
cnf(i_0_16,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7m6p2kqd/lgb.p',i_0_16) ).
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-7m6p2kqd/lgb.p',i_0_52) ).
cnf(i_0_10,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7m6p2kqd/lgb.p',i_0_10) ).
cnf(i_0_14,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7m6p2kqd/lgb.p',i_0_14) ).
cnf(i_0_4,plain,
aNaturalNumber0(sz10),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7m6p2kqd/lgb.p',i_0_4) ).
cnf(c_0_84,plain,
( doDivides0(X1,X2)
| X2 != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
i_0_50 ).
cnf(c_0_85,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_6 ).
cnf(c_0_86,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_84]),c_0_85]) ).
cnf(c_0_87,hypothesis,
( sz00 = xl
| sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sdtpldt0(xm,xn) ),
i_0_62 ).
cnf(c_0_88,hypothesis,
aNaturalNumber0(xl),
i_0_59 ).
cnf(c_0_89,negated_conjecture,
~ doDivides0(xl,sdtpldt0(xm,xn)),
i_0_63 ).
cnf(c_0_90,hypothesis,
( xl = sz00
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88])]),c_0_89]) ).
cnf(c_0_91,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_5 ).
cnf(c_0_92,plain,
( X1 = sz00
| aNaturalNumber0(X2)
| X2 != sdtsldt0(X3,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X3) ),
i_0_55 ).
cnf(c_0_93,plain,
( doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3) ),
i_0_56 ).
cnf(c_0_94,plain,
( xl = sz00
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtsldt0(xm,xl)) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_95,plain,
( X1 = sz00
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2) ),
inference(er,[status(thm)],[c_0_92]) ).
cnf(c_0_96,hypothesis,
aNaturalNumber0(xn),
i_0_57 ).
cnf(c_0_97,hypothesis,
doDivides0(xl,xn),
i_0_60 ).
cnf(c_0_98,negated_conjecture,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,sdtpldt0(xm,xn))
| ~ doDivides0(xl,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_93]),c_0_88])]) ).
cnf(c_0_99,hypothesis,
aNaturalNumber0(xm),
i_0_58 ).
cnf(c_0_100,plain,
( sdtasdt0(sz00,X1) = sz00
| ~ aNaturalNumber0(X1) ),
i_0_15 ).
cnf(c_0_101,plain,
( sdtasdt0(X1,esk2_2(X1,X2)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
i_0_51 ).
cnf(c_0_102,plain,
aNaturalNumber0(sz00),
i_0_2 ).
cnf(c_0_103,plain,
( xl = sz00
| ~ aNaturalNumber0(sdtsldt0(xm,xl)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]),c_0_88]),c_0_97])]) ).
cnf(c_0_104,hypothesis,
doDivides0(xl,xm),
i_0_61 ).
cnf(c_0_105,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
i_0_16 ).
cnf(c_0_106,plain,
( ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,sdtpldt0(xm,xn))
| ~ doDivides0(xl,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_91]),c_0_96]),c_0_99])]) ).
cnf(c_0_107,plain,
( X1 = sz00
| ~ aNaturalNumber0(esk2_2(sz00,X1))
| ~ aNaturalNumber0(X1)
| ~ doDivides0(sz00,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102])]) ).
cnf(c_0_108,plain,
( aNaturalNumber0(esk2_2(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2) ),
i_0_52 ).
cnf(c_0_109,hypothesis,
( doDivides0(X1,xn)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xl) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_97]),c_0_88]),c_0_96])]) ).
cnf(c_0_110,plain,
xl = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_95]),c_0_99]),c_0_88]),c_0_104])]) ).
cnf(c_0_111,plain,
( doDivides0(X1,sz00)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_105]),c_0_102])]) ).
cnf(c_0_112,hypothesis,
( doDivides0(X1,xm)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xl) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_104]),c_0_88]),c_0_99])]) ).
cnf(c_0_113,plain,
( ~ aNaturalNumber0(sdtasdt0(xl,X1))
| ~ aNaturalNumber0(X1)
| ~ doDivides0(sdtasdt0(xl,X1),sdtpldt0(xm,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_86]),c_0_88])]) ).
cnf(c_0_114,plain,
( X1 = sz00
| ~ aNaturalNumber0(X1)
| ~ doDivides0(sz00,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_102])]) ).
cnf(c_0_115,hypothesis,
( doDivides0(X1,xn)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_110]),c_0_111]) ).
cnf(c_0_116,hypothesis,
( doDivides0(X1,xm)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_110]),c_0_111]) ).
cnf(c_0_117,plain,
~ doDivides0(sz00,sdtpldt0(xm,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_105]),c_0_102]),c_0_88])]) ).
cnf(c_0_118,hypothesis,
xn = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_96]),c_0_102])]) ).
cnf(c_0_119,hypothesis,
xm = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_116]),c_0_99]),c_0_102])]) ).
cnf(c_0_120,plain,
~ doDivides0(sz00,sdtpldt0(sz00,sz00)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_118]),c_0_119]) ).
cnf(c_0_121,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
i_0_10 ).
cnf(c_0_122,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
i_0_14 ).
cnf(c_0_123,plain,
aNaturalNumber0(sz10),
i_0_4 ).
cnf(c_0_124,plain,
~ doDivides0(sz00,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_102])]) ).
cnf(c_0_125,plain,
( doDivides0(X1,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_122]),c_0_123])]) ).
cnf(c_0_126,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_102])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : NUM469+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jul 5 08:32:59 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.47 # ENIGMATIC: Selected complete mode:
% 8.97/2.50 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.97/2.50 # No SInE strategy applied
% 8.97/2.50 # Trying AutoSched0 for 150 seconds
% 8.97/2.50 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S080N
% 8.97/2.50 # and selection function SelectCQIArNXTEqFirst.
% 8.97/2.50 #
% 8.97/2.50 # Preprocessing time : 0.022 s
% 8.97/2.50 # Presaturation interreduction done
% 8.97/2.50
% 8.97/2.50 # Proof found!
% 8.97/2.50 # SZS status Theorem
% 8.97/2.50 # SZS output start CNFRefutation
% See solution above
% 8.97/2.50 # Training examples: 0 positive, 0 negative
% 8.97/2.50
% 8.97/2.50 # -------------------------------------------------
% 8.97/2.50 # User time : 0.041 s
% 8.97/2.50 # System time : 0.009 s
% 8.97/2.50 # Total time : 0.050 s
% 8.97/2.50 # Maximum resident set size: 7124 pages
% 8.97/2.50
%------------------------------------------------------------------------------