TSTP Solution File: NUM477+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM477+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n017.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 08:36:25 EDT 2022
% Result : Theorem 7.82s 2.32s
% Output : CNFRefutation 7.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of clauses : 48 ( 17 unt; 18 nHn; 48 RR)
% Number of literals : 128 ( 37 equ; 66 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 48 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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-dg_4w0mq/lgb.p',i_0_55) ).
cnf(i_0_47,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dg_4w0mq/lgb.p',i_0_47) ).
cnf(i_0_60,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dg_4w0mq/lgb.p',i_0_60) ).
cnf(i_0_62,hypothesis,
doDivides0(xm,xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dg_4w0mq/lgb.p',i_0_62) ).
cnf(i_0_59,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dg_4w0mq/lgb.p',i_0_59) ).
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-dg_4w0mq/lgb.p',i_0_54) ).
cnf(i_0_26,plain,
( sdtlseqdt0(X1,X2)
| sdtpldt0(X1,X3) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dg_4w0mq/lgb.p',i_0_26) ).
cnf(i_0_5,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dg_4w0mq/lgb.p',i_0_5) ).
cnf(i_0_9,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dg_4w0mq/lgb.p',i_0_9) ).
cnf(i_0_2,plain,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dg_4w0mq/lgb.p',i_0_2) ).
cnf(i_0_35,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dg_4w0mq/lgb.p',i_0_35) ).
cnf(i_0_63,negated_conjecture,
~ sdtlseqdt0(xm,xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dg_4w0mq/lgb.p',i_0_63) ).
cnf(i_0_33,plain,
( X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dg_4w0mq/lgb.p',i_0_33) ).
cnf(i_0_61,hypothesis,
sz00 != xn,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dg_4w0mq/lgb.p',i_0_61) ).
cnf(i_0_16,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dg_4w0mq/lgb.p',i_0_16) ).
cnf(c_0_79,plain,
( X1 = sz00
| aNaturalNumber0(X2)
| X2 != sdtsldt0(X3,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X3) ),
i_0_55 ).
cnf(c_0_80,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_47 ).
cnf(c_0_81,hypothesis,
aNaturalNumber0(xm),
i_0_60 ).
cnf(c_0_82,plain,
( X1 = sz00
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_79]) ).
cnf(c_0_83,hypothesis,
doDivides0(xm,xn),
i_0_62 ).
cnf(c_0_84,hypothesis,
aNaturalNumber0(xn),
i_0_59 ).
cnf(c_0_85,plain,
( X1 = sz00
| X2 = sdtasdt0(X1,X3)
| X3 != sdtsldt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
i_0_54 ).
cnf(c_0_86,plain,
( sdtlseqdt0(X1,X2)
| sdtpldt0(X1,X3) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_26 ).
cnf(c_0_87,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_5 ).
cnf(c_0_88,hypothesis,
( X1 = sz00
| sdtlseqdt0(xm,sdtasdt0(xm,X1))
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_89,hypothesis,
( xm = sz00
| aNaturalNumber0(sdtsldt0(xn,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]),c_0_81])]) ).
cnf(c_0_90,plain,
( sdtasdt0(X1,sdtsldt0(X2,X1)) = X2
| X1 = sz00
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_85]) ).
cnf(c_0_91,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_86]),c_0_87]) ).
cnf(c_0_92,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aNaturalNumber0(X1) ),
i_0_9 ).
cnf(c_0_93,plain,
aNaturalNumber0(sz00),
i_0_2 ).
cnf(c_0_94,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_35 ).
cnf(c_0_95,hypothesis,
( sdtsldt0(xn,xm) = sz00
| xm = sz00
| sdtlseqdt0(xm,sdtasdt0(xm,sdtsldt0(xn,xm))) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_96,hypothesis,
( sdtasdt0(xm,sdtsldt0(xn,xm)) = xn
| xm = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_83]),c_0_84]),c_0_81])]) ).
cnf(c_0_97,negated_conjecture,
~ sdtlseqdt0(xm,xn),
i_0_63 ).
cnf(c_0_98,plain,
( X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_33 ).
cnf(c_0_99,plain,
( sdtlseqdt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93])]) ).
cnf(c_0_100,hypothesis,
( sdtlseqdt0(X1,xn)
| sdtlseqdt0(xn,X1)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_94,c_0_84]) ).
cnf(c_0_101,hypothesis,
( sdtsldt0(xn,xm) = sz00
| xm = sz00 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]) ).
cnf(c_0_102,plain,
( X1 = sz00
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,sz00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_93])]) ).
cnf(c_0_103,plain,
( sdtlseqdt0(xn,sz00)
| sdtlseqdt0(sz00,xn) ),
inference(spm,[status(thm)],[c_0_100,c_0_93]) ).
cnf(c_0_104,hypothesis,
sz00 != xn,
i_0_61 ).
cnf(c_0_105,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
i_0_16 ).
cnf(c_0_106,hypothesis,
( sdtasdt0(xm,sz00) = xn
| xm = sz00 ),
inference(spm,[status(thm)],[c_0_96,c_0_101]) ).
cnf(c_0_107,plain,
sdtlseqdt0(sz00,xn),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_84])]),c_0_104]) ).
cnf(c_0_108,hypothesis,
sdtlseqdt0(xn,xm),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_81]),c_0_97]) ).
cnf(c_0_109,plain,
xm = sz00,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_81])]),c_0_104]) ).
cnf(c_0_110,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_98,c_0_107]),c_0_93]),c_0_84])]),c_0_104]) ).
cnf(c_0_111,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_109]),c_0_110]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM477+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 5 14:24:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 7.82/2.32 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.82/2.32 # No SInE strategy applied
% 7.82/2.32 # Trying AutoSched0 for 150 seconds
% 7.82/2.32 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S04AN
% 7.82/2.32 # and selection function SelectComplexExceptUniqMaxHorn.
% 7.82/2.32 #
% 7.82/2.32 # Preprocessing time : 0.024 s
% 7.82/2.32 # Presaturation interreduction done
% 7.82/2.32
% 7.82/2.32 # Proof found!
% 7.82/2.32 # SZS status Theorem
% 7.82/2.32 # SZS output start CNFRefutation
% See solution above
% 7.82/2.32 # Training examples: 0 positive, 0 negative
% 7.82/2.32
% 7.82/2.32 # -------------------------------------------------
% 7.82/2.32 # User time : 0.071 s
% 7.82/2.32 # System time : 0.006 s
% 7.82/2.32 # Total time : 0.077 s
% 7.82/2.32 # Maximum resident set size: 7128 pages
% 7.82/2.32
%------------------------------------------------------------------------------