TSTP Solution File: NUM495+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM495+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n025.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 08:36:37 EDT 2022
% Result : Theorem 7.03s 2.22s
% Output : CNFRefutation 7.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of clauses : 38 ( 27 unt; 4 nHn; 38 RR)
% Number of literals : 77 ( 8 equ; 46 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_31,plain,
( aNaturalNumber0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m7hb98uj/input.p',i_0_31) ).
cnf(i_0_77,hypothesis,
sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m7hb98uj/input.p',i_0_77) ).
cnf(i_0_78,hypothesis,
sdtmndt0(xn,xp) = xr,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m7hb98uj/input.p',i_0_78) ).
cnf(i_0_71,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m7hb98uj/input.p',i_0_71) ).
cnf(i_0_73,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m7hb98uj/input.p',i_0_73) ).
cnf(i_0_74,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m7hb98uj/input.p',i_0_74) ).
cnf(i_0_81,hypothesis,
doDivides0(xp,sdtasdt0(xr,xm)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m7hb98uj/input.p',i_0_81) ).
cnf(i_0_76,hypothesis,
isPrime0(xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m7hb98uj/input.p',i_0_76) ).
cnf(i_0_72,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m7hb98uj/input.p',i_0_72) ).
cnf(i_0_85,negated_conjecture,
~ doDivides0(xp,xr),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m7hb98uj/input.p',i_0_85) ).
cnf(i_0_84,negated_conjecture,
~ doDivides0(xp,xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m7hb98uj/input.p',i_0_84) ).
cnf(i_0_49,plain,
( X1 = X2
| iLess0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m7hb98uj/input.p',i_0_49) ).
cnf(i_0_82,hypothesis,
sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m7hb98uj/input.p',i_0_82) ).
cnf(i_0_83,hypothesis,
sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m7hb98uj/input.p',i_0_83) ).
cnf(i_0_5,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m7hb98uj/input.p',i_0_5) ).
cnf(c_0_101,plain,
( aNaturalNumber0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X3,X2) ),
i_0_31 ).
cnf(c_0_102,plain,
( aNaturalNumber0(sdtmndt0(X1,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_101]) ).
cnf(c_0_103,hypothesis,
sdtlseqdt0(xp,xn),
i_0_77 ).
cnf(c_0_104,hypothesis,
sdtmndt0(xn,xp) = xr,
i_0_78 ).
cnf(c_0_105,hypothesis,
aNaturalNumber0(xp),
i_0_71 ).
cnf(c_0_106,hypothesis,
aNaturalNumber0(xn),
i_0_73 ).
cnf(c_0_107,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
i_0_74 ).
cnf(c_0_108,hypothesis,
doDivides0(xp,sdtasdt0(xr,xm)),
i_0_81 ).
cnf(c_0_109,hypothesis,
isPrime0(xp),
i_0_76 ).
cnf(c_0_110,hypothesis,
aNaturalNumber0(xm),
i_0_72 ).
cnf(c_0_111,negated_conjecture,
~ doDivides0(xp,xr),
i_0_85 ).
cnf(c_0_112,negated_conjecture,
~ doDivides0(xp,xm),
i_0_84 ).
cnf(c_0_113,hypothesis,
aNaturalNumber0(xr),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]),c_0_105]),c_0_106])]) ).
cnf(c_0_114,plain,
( X1 = X2
| iLess0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_49 ).
cnf(c_0_115,hypothesis,
sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)),
i_0_82 ).
cnf(c_0_116,hypothesis,
sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp),
i_0_83 ).
cnf(c_0_117,hypothesis,
~ iLess0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[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_107,c_0_108]),c_0_109]),c_0_110]),c_0_105])]),c_0_111]),c_0_112]),c_0_113])]) ).
cnf(c_0_118,hypothesis,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]),c_0_117]) ).
cnf(c_0_119,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_5 ).
cnf(c_0_120,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_105])]) ).
cnf(c_0_121,plain,
~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_119]),c_0_110]),c_0_106])]) ).
cnf(c_0_122,plain,
~ aNaturalNumber0(sdtpldt0(xr,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_119]),c_0_105])]) ).
cnf(c_0_123,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_119]),c_0_110]),c_0_113])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM495+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n025.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 : Tue Jul 5 07:22:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 7.03/2.22 # ENIGMATIC: Solved by autoschedule:
% 7.03/2.22 # No SInE strategy applied
% 7.03/2.22 # Trying AutoSched0 for 150 seconds
% 7.03/2.22 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 7.03/2.22 # and selection function SelectNewComplexAHP.
% 7.03/2.22 #
% 7.03/2.22 # Preprocessing time : 0.025 s
% 7.03/2.22 # Presaturation interreduction done
% 7.03/2.22
% 7.03/2.22 # Proof found!
% 7.03/2.22 # SZS status Theorem
% 7.03/2.22 # SZS output start CNFRefutation
% See solution above
% 7.03/2.22 # Training examples: 0 positive, 0 negative
% 7.03/2.22
% 7.03/2.22 # -------------------------------------------------
% 7.03/2.22 # User time : 0.059 s
% 7.03/2.22 # System time : 0.008 s
% 7.03/2.22 # Total time : 0.067 s
% 7.03/2.22 # Maximum resident set size: 7124 pages
% 7.03/2.22
%------------------------------------------------------------------------------