TSTP Solution File: NUM479+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM479+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 08:36:27 EDT 2022
% Result : Theorem 7.98s 2.31s
% Output : CNFRefutation 7.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of clauses : 40 ( 15 unt; 6 nHn; 40 RR)
% Number of literals : 117 ( 26 equ; 83 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 : 51 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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-jdokznbp/lgb.p',i_0_12) ).
cnf(i_0_11,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jdokznbp/lgb.p',i_0_11) ).
cnf(i_0_65,negated_conjecture,
sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) != sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jdokznbp/lgb.p',i_0_65) ).
cnf(i_0_61,hypothesis,
aNaturalNumber0(xl),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jdokznbp/lgb.p',i_0_61) ).
cnf(i_0_64,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jdokznbp/lgb.p',i_0_64) ).
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-jdokznbp/lgb.p',i_0_54) ).
cnf(i_0_62,hypothesis,
doDivides0(xl,xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jdokznbp/lgb.p',i_0_62) ).
cnf(i_0_60,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jdokznbp/lgb.p',i_0_60) ).
cnf(i_0_63,hypothesis,
sz00 != xl,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jdokznbp/lgb.p',i_0_63) ).
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-jdokznbp/lgb.p',i_0_55) ).
cnf(i_0_6,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jdokznbp/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-jdokznbp/lgb.p',i_0_56) ).
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-jdokznbp/lgb.p',i_0_50) ).
cnf(c_0_79,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_12 ).
cnf(c_0_80,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_11 ).
cnf(c_0_81,negated_conjecture,
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(X2,sdtasdt0(X1,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_83,hypothesis,
aNaturalNumber0(xl),
i_0_61 ).
cnf(c_0_84,hypothesis,
aNaturalNumber0(xn),
i_0_64 ).
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,negated_conjecture,
( sdtasdt0(xn,sdtasdt0(xl,sdtsldt0(xm,xl))) != sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,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,
( 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_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,
( sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)) != sdtasdt0(xn,xm)
| ~ aNaturalNumber0(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_83])]),c_0_90]) ).
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(xl,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(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_91,c_0_87]),c_0_83])]),c_0_90]) ).
cnf(c_0_94,plain,
( X1 = sz00
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_92]) ).
cnf(c_0_95,plain,
( ~ doDivides0(xl,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(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_93,c_0_94]),c_0_88]),c_0_89]),c_0_83])]),c_0_90]) ).
cnf(c_0_96,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_6 ).
cnf(c_0_97,plain,
~ doDivides0(xl,sdtasdt0(xn,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_89]),c_0_84])]) ).
cnf(c_0_98,plain,
( doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3) ),
i_0_56 ).
cnf(c_0_99,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_97,c_0_98]),c_0_83])]) ).
cnf(c_0_100,plain,
( doDivides0(X1,X2)
| X2 != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
i_0_50 ).
cnf(c_0_101,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_99,c_0_96]),c_0_89]),c_0_84])]) ).
cnf(c_0_102,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_100]),c_0_96]) ).
cnf(c_0_103,hypothesis,
~ doDivides0(xm,sdtasdt0(xn,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_88]),c_0_89])]) ).
cnf(c_0_104,plain,
( doDivides0(X1,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_102,c_0_80]) ).
cnf(c_0_105,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_84]),c_0_89])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM479+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n007.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 : Wed Jul 6 10:57:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 7.98/2.31 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.98/2.31 # No SInE strategy applied
% 7.98/2.31 # Trying AutoSched0 for 150 seconds
% 7.98/2.31 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S080N
% 7.98/2.31 # and selection function SelectCQIArNXTEqFirst.
% 7.98/2.31 #
% 7.98/2.31 # Preprocessing time : 0.020 s
% 7.98/2.31 # Presaturation interreduction done
% 7.98/2.31
% 7.98/2.31 # Proof found!
% 7.98/2.31 # SZS status Theorem
% 7.98/2.31 # SZS output start CNFRefutation
% See solution above
% 7.98/2.31 # Training examples: 0 positive, 0 negative
% 7.98/2.31
% 7.98/2.31 # -------------------------------------------------
% 7.98/2.31 # User time : 0.058 s
% 7.98/2.31 # System time : 0.009 s
% 7.98/2.31 # Total time : 0.067 s
% 7.98/2.31 # Maximum resident set size: 7124 pages
% 7.98/2.31
%------------------------------------------------------------------------------