TSTP Solution File: NUM488+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM488+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n005.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 08:36:33 EDT 2022
% Result : Theorem 68.67s 9.98s
% Output : CNFRefutation 68.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 21
% Syntax : Number of clauses : 54 ( 24 unt; 12 nHn; 54 RR)
% Number of literals : 152 ( 40 equ; 91 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 55 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_65,plain,
( X1 = X2
| X1 = sz10
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X2)
| ~ doDivides0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tlt11gsz/input.p',i_0_65) ).
cnf(i_0_69,plain,
( X1 = sz00
| X1 = sz10
| doDivides0(esk4_1(X1),X1)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tlt11gsz/input.p',i_0_69) ).
cnf(i_0_70,plain,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk4_1(X1))
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tlt11gsz/input.p',i_0_70) ).
cnf(i_0_67,plain,
( X1 != sz00
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tlt11gsz/input.p',i_0_67) ).
cnf(i_0_66,plain,
( X1 != sz10
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tlt11gsz/input.p',i_0_66) ).
cnf(i_0_58,plain,
( doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X3)
| ~ doDivides0(X1,sdtpldt0(X3,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tlt11gsz/input.p',i_0_58) ).
cnf(i_0_17,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2)) = sdtasdt0(sdtpldt0(X1,X3),X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tlt11gsz/input.p',i_0_17) ).
cnf(i_0_6,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tlt11gsz/input.p',i_0_6) ).
cnf(i_0_203,hypothesis,
isPrime0(xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tlt11gsz/input.p',i_0_203) ).
cnf(i_0_71,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tlt11gsz/input.p',i_0_71) ).
cnf(i_0_212,hypothesis,
sdtpldt0(xp,xr) = xn,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tlt11gsz/input.p',i_0_212) ).
cnf(i_0_213,hypothesis,
aNaturalNumber0(xr),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tlt11gsz/input.p',i_0_213) ).
cnf(i_0_200,hypothesis,
doDivides0(xp,sdtasdt0(xn,xm)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tlt11gsz/input.p',i_0_200) ).
cnf(i_0_201,hypothesis,
sdtasdt0(xp,esk9_0) = sdtasdt0(xn,xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tlt11gsz/input.p',i_0_201) ).
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-tlt11gsz/input.p',i_0_50) ).
cnf(i_0_68,plain,
( X1 = sz00
| X1 = sz10
| isPrime0(esk4_1(X1))
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tlt11gsz/input.p',i_0_68) ).
cnf(i_0_206,hypothesis,
xp != sz10,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tlt11gsz/input.p',i_0_206) ).
cnf(i_0_207,hypothesis,
sz00 != xp,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tlt11gsz/input.p',i_0_207) ).
cnf(i_0_218,negated_conjecture,
~ doDivides0(xp,sdtasdt0(xr,xm)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tlt11gsz/input.p',i_0_218) ).
cnf(i_0_72,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tlt11gsz/input.p',i_0_72) ).
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-tlt11gsz/input.p',i_0_56) ).
cnf(c_0_240,plain,
( X1 = X2
| X1 = sz10
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X2)
| ~ doDivides0(X1,X2) ),
i_0_65 ).
cnf(c_0_241,plain,
( X1 = sz00
| X1 = sz10
| doDivides0(esk4_1(X1),X1)
| ~ aNaturalNumber0(X1) ),
i_0_69 ).
cnf(c_0_242,plain,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk4_1(X1))
| ~ aNaturalNumber0(X1) ),
i_0_70 ).
cnf(c_0_243,plain,
( X1 != sz00
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X1) ),
i_0_67 ).
cnf(c_0_244,plain,
( X1 != sz10
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X1) ),
i_0_66 ).
cnf(c_0_245,plain,
( doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X3)
| ~ doDivides0(X1,sdtpldt0(X3,X2)) ),
i_0_58 ).
cnf(c_0_246,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2)) = sdtasdt0(sdtpldt0(X1,X3),X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
i_0_17 ).
cnf(c_0_247,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_6 ).
cnf(c_0_248,plain,
( esk4_1(X1) = sz10
| esk4_1(X1) = X1
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_242]),c_0_243]),c_0_244]) ).
cnf(c_0_249,hypothesis,
isPrime0(xp),
i_0_203 ).
cnf(c_0_250,hypothesis,
aNaturalNumber0(xp),
i_0_71 ).
cnf(c_0_251,plain,
( doDivides0(X1,sdtasdt0(X2,X3))
| ~ doDivides0(X1,sdtasdt0(sdtpldt0(X4,X2),X3))
| ~ doDivides0(X1,sdtasdt0(X4,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_247]),c_0_247]) ).
cnf(c_0_252,hypothesis,
sdtpldt0(xp,xr) = xn,
i_0_212 ).
cnf(c_0_253,hypothesis,
aNaturalNumber0(xr),
i_0_213 ).
cnf(c_0_254,hypothesis,
doDivides0(xp,sdtasdt0(xn,xm)),
i_0_200 ).
cnf(c_0_255,hypothesis,
sdtasdt0(xp,esk9_0) = sdtasdt0(xn,xm),
i_0_201 ).
cnf(c_0_256,plain,
( doDivides0(X1,X2)
| X2 != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
i_0_50 ).
cnf(c_0_257,plain,
( X1 = sz00
| X1 = sz10
| isPrime0(esk4_1(X1))
| ~ aNaturalNumber0(X1) ),
i_0_68 ).
cnf(c_0_258,hypothesis,
( esk4_1(xp) = xp
| esk4_1(xp) = sz10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_250])]) ).
cnf(c_0_259,hypothesis,
xp != sz10,
i_0_206 ).
cnf(c_0_260,hypothesis,
sz00 != xp,
i_0_207 ).
cnf(c_0_261,negated_conjecture,
~ doDivides0(xp,sdtasdt0(xr,xm)),
i_0_218 ).
cnf(c_0_262,hypothesis,
( doDivides0(X1,sdtasdt0(xr,X2))
| ~ doDivides0(X1,sdtasdt0(xn,X2))
| ~ doDivides0(X1,sdtasdt0(xp,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_253]),c_0_250])]) ).
cnf(c_0_263,hypothesis,
doDivides0(xp,sdtasdt0(xp,esk9_0)),
inference(rw,[status(thm)],[c_0_254,c_0_255]) ).
cnf(c_0_264,hypothesis,
aNaturalNumber0(xm),
i_0_72 ).
cnf(c_0_265,plain,
( doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3) ),
i_0_56 ).
cnf(c_0_266,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_256]),c_0_247]) ).
cnf(c_0_267,plain,
( X1 = sz00
| X1 = sz10
| esk4_1(X1) != sz10
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_257]),c_0_242]) ).
cnf(c_0_268,plain,
( esk4_1(xp) = sz10
| doDivides0(xp,xp) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_258]),c_0_250])]),c_0_259]),c_0_260]) ).
cnf(c_0_269,negated_conjecture,
~ doDivides0(xp,sdtasdt0(xp,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_255]),c_0_263]),c_0_250]),c_0_264])]) ).
cnf(c_0_270,plain,
( doDivides0(X1,sdtasdt0(X2,X3))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_266]),c_0_247]) ).
cnf(c_0_271,plain,
doDivides0(xp,xp),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_268]),c_0_250])]),c_0_260]),c_0_259]) ).
cnf(c_0_272,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_270]),c_0_271]),c_0_250]),c_0_264])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM488+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.11 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.32 % Computer : n005.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Wed Jul 6 22:28:09 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 68.67/9.98 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 68.67/9.98 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 37; version: 991; iters: 150)
% 68.67/9.98 # Preprocessing time : 0.889 s
% 68.67/9.98
% 68.67/9.98 # Proof found!
% 68.67/9.98 # SZS status Theorem
% 68.67/9.98 # SZS output start CNFRefutation
% See solution above
% 68.67/9.98 # Training examples: 0 positive, 0 negative
% 68.67/9.98
% 68.67/9.98 # -------------------------------------------------
% 68.67/9.98 # User time : 7.468 s
% 68.67/9.98 # System time : 0.215 s
% 68.67/9.98 # Total time : 7.683 s
% 68.67/9.98 # ...preprocessing : 0.889 s
% 68.67/9.98 # ...main loop : 6.795 s
% 68.67/9.98 # Maximum resident set size: 168544 pages
% 68.67/9.98
%------------------------------------------------------------------------------