TSTP Solution File: NUM471+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM471+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n003.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 08:36:21 EDT 2022
% Result : Theorem 15.21s 3.24s
% Output : CNFRefutation 15.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of clauses : 55 ( 30 unt; 12 nHn; 55 RR)
% Number of literals : 134 ( 37 equ; 70 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 : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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-vbuew0sz/input.p',i_0_54) ).
cnf(i_0_65,hypothesis,
sdtsldt0(sdtpldt0(xm,xn),xl) = xq,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vbuew0sz/input.p',i_0_65) ).
cnf(i_0_61,hypothesis,
doDivides0(xl,sdtpldt0(xm,xn)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vbuew0sz/input.p',i_0_61) ).
cnf(i_0_60,hypothesis,
aNaturalNumber0(xl),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vbuew0sz/input.p',i_0_60) ).
cnf(i_0_63,hypothesis,
sz00 != xl,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vbuew0sz/input.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-vbuew0sz/input.p',i_0_55) ).
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-vbuew0sz/input.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-vbuew0sz/input.p',i_0_5) ).
cnf(i_0_58,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vbuew0sz/input.p',i_0_58) ).
cnf(i_0_59,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vbuew0sz/input.p',i_0_59) ).
cnf(i_0_64,hypothesis,
sdtsldt0(xm,xl) = xp,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vbuew0sz/input.p',i_0_64) ).
cnf(i_0_62,hypothesis,
doDivides0(xl,xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vbuew0sz/input.p',i_0_62) ).
cnf(i_0_35,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vbuew0sz/input.p',i_0_35) ).
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-vbuew0sz/input.p',i_0_33) ).
cnf(i_0_43,plain,
( X1 = X2
| X3 = sz00
| sdtlseqdt0(sdtasdt0(X3,X1),sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vbuew0sz/input.p',i_0_43) ).
cnf(i_0_66,negated_conjecture,
~ sdtlseqdt0(xp,xq),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vbuew0sz/input.p',i_0_66) ).
cnf(i_0_32,plain,
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vbuew0sz/input.p',i_0_32) ).
cnf(c_0_84,plain,
( X1 = sz00
| X2 = sdtasdt0(X1,X3)
| X3 != sdtsldt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
i_0_54 ).
cnf(c_0_85,plain,
( sdtasdt0(X1,sdtsldt0(X2,X1)) = X2
| X1 = sz00
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_84]) ).
cnf(c_0_86,hypothesis,
sdtsldt0(sdtpldt0(xm,xn),xl) = xq,
i_0_65 ).
cnf(c_0_87,hypothesis,
doDivides0(xl,sdtpldt0(xm,xn)),
i_0_61 ).
cnf(c_0_88,hypothesis,
aNaturalNumber0(xl),
i_0_60 ).
cnf(c_0_89,hypothesis,
sz00 != xl,
i_0_63 ).
cnf(c_0_90,plain,
( X1 = sz00
| aNaturalNumber0(X2)
| X2 != sdtsldt0(X3,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X3) ),
i_0_55 ).
cnf(c_0_91,plain,
( sdtlseqdt0(X1,X2)
| sdtpldt0(X1,X3) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_26 ).
cnf(c_0_92,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_5 ).
cnf(c_0_93,hypothesis,
( sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]),c_0_88])]),c_0_89]) ).
cnf(c_0_94,hypothesis,
aNaturalNumber0(xn),
i_0_58 ).
cnf(c_0_95,hypothesis,
aNaturalNumber0(xm),
i_0_59 ).
cnf(c_0_96,plain,
( X1 = sz00
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_90]) ).
cnf(c_0_97,hypothesis,
sdtsldt0(xm,xl) = xp,
i_0_64 ).
cnf(c_0_98,hypothesis,
doDivides0(xl,xm),
i_0_62 ).
cnf(c_0_99,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_91]),c_0_92]) ).
cnf(c_0_100,plain,
sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_92]),c_0_94]),c_0_95])]) ).
cnf(c_0_101,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_35 ).
cnf(c_0_102,hypothesis,
aNaturalNumber0(xp),
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_96,c_0_97]),c_0_98]),c_0_95]),c_0_88])]),c_0_89]) ).
cnf(c_0_103,hypothesis,
( aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_86]),c_0_87]),c_0_88])]),c_0_89]) ).
cnf(c_0_104,plain,
( X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_33 ).
cnf(c_0_105,plain,
sdtlseqdt0(xm,sdtasdt0(xl,xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_94]),c_0_95])]) ).
cnf(c_0_106,plain,
aNaturalNumber0(sdtasdt0(xl,xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_100]),c_0_94]),c_0_95])]) ).
cnf(c_0_107,plain,
( X1 = X2
| X3 = sz00
| sdtlseqdt0(sdtasdt0(X3,X1),sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2) ),
i_0_43 ).
cnf(c_0_108,hypothesis,
sdtasdt0(xl,xp) = 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_85,c_0_97]),c_0_98]),c_0_95]),c_0_88])]),c_0_89]) ).
cnf(c_0_109,plain,
( sdtlseqdt0(xp,X1)
| sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_110,plain,
aNaturalNumber0(xq),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_92]),c_0_94]),c_0_95])]) ).
cnf(c_0_111,negated_conjecture,
~ sdtlseqdt0(xp,xq),
i_0_66 ).
cnf(c_0_112,plain,
( sdtasdt0(xl,xq) = xm
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xm) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_95])]),c_0_106])]) ).
cnf(c_0_113,hypothesis,
( X1 = xp
| sdtlseqdt0(sdtasdt0(xl,X1),xm)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_88]),c_0_102])]),c_0_89]) ).
cnf(c_0_114,plain,
sdtlseqdt0(xq,xp),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111]) ).
cnf(c_0_115,hypothesis,
( sdtasdt0(xl,X1) = xm
| X1 != xp ),
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_84,c_0_97]),c_0_98]),c_0_95]),c_0_88])]),c_0_89]) ).
cnf(c_0_116,hypothesis,
sdtsldt0(sdtasdt0(xl,xq),xl) = xq,
inference(rw,[status(thm)],[c_0_86,c_0_100]) ).
cnf(c_0_117,hypothesis,
sdtasdt0(xl,xq) = xm,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114]),c_0_110])]),c_0_115]) ).
cnf(c_0_118,hypothesis,
xq = xp,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_117]),c_0_97]) ).
cnf(c_0_119,negated_conjecture,
~ sdtlseqdt0(xp,xp),
inference(rw,[status(thm)],[c_0_111,c_0_118]) ).
cnf(c_0_120,plain,
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1) ),
i_0_32 ).
cnf(c_0_121,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_102])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUM471+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.32 % Computer : n003.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Tue Jul 5 20:21:12 EDT 2022
% 0.19/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 15.21/3.24 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 15.21/3.24 # 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: 17; version: 991; iters: 150)
% 15.21/3.24 # Preprocessing time : 0.861 s
% 15.21/3.24
% 15.21/3.24 # Proof found!
% 15.21/3.24 # SZS status Theorem
% 15.21/3.24 # SZS output start CNFRefutation
% See solution above
% 15.21/3.24 # Training examples: 0 positive, 0 negative
% 15.21/3.24
% 15.21/3.24 # -------------------------------------------------
% 15.21/3.24 # User time : 0.905 s
% 15.21/3.24 # System time : 0.129 s
% 15.21/3.24 # Total time : 1.034 s
% 15.21/3.24 # ...preprocessing : 0.861 s
% 15.21/3.24 # ...main loop : 0.173 s
% 15.21/3.24 # Maximum resident set size: 168316 pages
% 15.21/3.24
%------------------------------------------------------------------------------