TSTP Solution File: NUM480+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM480+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n012.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 08:36:27 EDT 2022
% Result : Theorem 4.90s 2.34s
% Output : CNFRefutation 4.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of clauses : 43 ( 19 unt; 5 nHn; 43 RR)
% Number of literals : 115 ( 27 equ; 80 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 45 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_65,hypothesis,
sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) = sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-boxjggqr/lgb.p',i_0_65) ).
cnf(i_0_12,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-boxjggqr/lgb.p',i_0_12) ).
cnf(i_0_64,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-boxjggqr/lgb.p',i_0_64) ).
cnf(i_0_61,hypothesis,
aNaturalNumber0(xl),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-boxjggqr/lgb.p',i_0_61) ).
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-boxjggqr/lgb.p',i_0_55) ).
cnf(i_0_62,hypothesis,
doDivides0(xl,xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-boxjggqr/lgb.p',i_0_62) ).
cnf(i_0_60,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-boxjggqr/lgb.p',i_0_60) ).
cnf(i_0_63,hypothesis,
sz00 != xl,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-boxjggqr/lgb.p',i_0_63) ).
cnf(i_0_22,plain,
( X1 = X2
| X3 = sz00
| sdtasdt0(X3,X1) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-boxjggqr/lgb.p',i_0_22) ).
cnf(i_0_66,negated_conjecture,
sdtsldt0(sdtasdt0(xn,xm),xl) != sdtasdt0(xn,sdtsldt0(xm,xl)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-boxjggqr/lgb.p',i_0_66) ).
cnf(i_0_6,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-boxjggqr/lgb.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/sandbox/tmp/enigma-theBenchmark.p-boxjggqr/lgb.p',i_0_56) ).
cnf(i_0_11,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-boxjggqr/lgb.p',i_0_11) ).
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-boxjggqr/lgb.p',i_0_50) ).
cnf(c_0_81,hypothesis,
sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) = sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)),
i_0_65 ).
cnf(c_0_82,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_12 ).
cnf(c_0_83,hypothesis,
aNaturalNumber0(xn),
i_0_64 ).
cnf(c_0_84,hypothesis,
aNaturalNumber0(xl),
i_0_61 ).
cnf(c_0_85,plain,
( X1 = sz00
| aNaturalNumber0(X2)
| X2 != sdtsldt0(X3,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X3) ),
i_0_55 ).
cnf(c_0_86,hypothesis,
( sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)) = sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtsldt0(xm,xl)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]),c_0_84])]) ).
cnf(c_0_87,plain,
( X1 = sz00
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_85]) ).
cnf(c_0_88,hypothesis,
doDivides0(xl,xm),
i_0_62 ).
cnf(c_0_89,hypothesis,
aNaturalNumber0(xm),
i_0_60 ).
cnf(c_0_90,hypothesis,
sz00 != xl,
i_0_63 ).
cnf(c_0_91,plain,
( X1 = X2
| X3 = sz00
| sdtasdt0(X3,X1) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_22 ).
cnf(c_0_92,plain,
sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)) = sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))),
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_86,c_0_87]),c_0_88]),c_0_89]),c_0_84])]),c_0_90]) ).
cnf(c_0_93,plain,
( sdtsldt0(sdtasdt0(xn,xm),xl) = X1
| sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))) != sdtasdt0(xl,X1)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xl))
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_84])]),c_0_90]) ).
cnf(c_0_94,negated_conjecture,
sdtsldt0(sdtasdt0(xn,xm),xl) != sdtasdt0(xn,sdtsldt0(xm,xl)),
i_0_66 ).
cnf(c_0_95,plain,
( ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xl))
| ~ aNaturalNumber0(sdtasdt0(xn,sdtsldt0(xm,xl))) ),
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_93]),c_0_94]) ).
cnf(c_0_96,plain,
( ~ doDivides0(xl,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_87]),c_0_84])]),c_0_90]) ).
cnf(c_0_97,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_6 ).
cnf(c_0_98,plain,
( ~ doDivides0(xl,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,sdtsldt0(xm,xl))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_89]),c_0_83])]) ).
cnf(c_0_99,plain,
( ~ doDivides0(xl,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtsldt0(xm,xl)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_97]),c_0_83])]) ).
cnf(c_0_100,plain,
~ doDivides0(xl,sdtasdt0(xn,xm)),
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_99,c_0_87]),c_0_88]),c_0_89]),c_0_84])]),c_0_90]) ).
cnf(c_0_101,plain,
( doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3) ),
i_0_56 ).
cnf(c_0_102,plain,
( ~ doDivides0(X1,sdtasdt0(xn,xm))
| ~ doDivides0(xl,X1)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_84])]) ).
cnf(c_0_103,plain,
( ~ doDivides0(X1,sdtasdt0(xn,xm))
| ~ doDivides0(xl,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_97]),c_0_89]),c_0_83])]) ).
cnf(c_0_104,hypothesis,
~ doDivides0(xm,sdtasdt0(xn,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_88]),c_0_89])]) ).
cnf(c_0_105,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_11 ).
cnf(c_0_106,plain,
( doDivides0(X1,X2)
| X2 != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
i_0_50 ).
cnf(c_0_107,plain,
~ doDivides0(xm,sdtasdt0(xm,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_89]),c_0_83])]) ).
cnf(c_0_108,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_106]),c_0_97]) ).
cnf(c_0_109,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_83]),c_0_89])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM480+1 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n012.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 : Thu Jul 7 09:02:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 4.90/2.34 # ENIGMATIC: Solved by autoschedule-lgb:
% 4.90/2.34 # No SInE strategy applied
% 4.90/2.34 # Trying AutoSched0 for 150 seconds
% 4.90/2.34 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S080N
% 4.90/2.34 # and selection function SelectCQIArNXTEqFirst.
% 4.90/2.34 #
% 4.90/2.34 # Preprocessing time : 0.012 s
% 4.90/2.34 # Presaturation interreduction done
% 4.90/2.34
% 4.90/2.34 # Proof found!
% 4.90/2.34 # SZS status Theorem
% 4.90/2.34 # SZS output start CNFRefutation
% See solution above
% 4.90/2.34 # Training examples: 0 positive, 0 negative
% 4.90/2.34
% 4.90/2.34 # -------------------------------------------------
% 4.90/2.34 # User time : 0.022 s
% 4.90/2.34 # System time : 0.006 s
% 4.90/2.34 # Total time : 0.028 s
% 4.90/2.34 # Maximum resident set size: 7128 pages
% 4.90/2.34
%------------------------------------------------------------------------------