TSTP Solution File: NUM508+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM508+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 08:36:46 EDT 2022
% Result : Theorem 7.44s 2.37s
% Output : CNFRefutation 7.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of clauses : 37 ( 27 unt; 4 nHn; 37 RR)
% Number of literals : 69 ( 7 equ; 41 neg)
% Maximal clause size : 8 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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-12t6hxhz/lgb.p',i_0_74) ).
cnf(i_0_91,hypothesis,
doDivides0(xr,sdtasdt0(xn,xm)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12t6hxhz/lgb.p',i_0_91) ).
cnf(i_0_88,hypothesis,
isPrime0(xr),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12t6hxhz/lgb.p',i_0_88) ).
cnf(i_0_73,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12t6hxhz/lgb.p',i_0_73) ).
cnf(i_0_72,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12t6hxhz/lgb.p',i_0_72) ).
cnf(i_0_90,hypothesis,
aNaturalNumber0(xr),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12t6hxhz/lgb.p',i_0_90) ).
cnf(i_0_98,negated_conjecture,
~ doDivides0(xr,xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12t6hxhz/lgb.p',i_0_98) ).
cnf(i_0_97,negated_conjecture,
~ doDivides0(xr,xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12t6hxhz/lgb.p',i_0_97) ).
cnf(i_0_95,hypothesis,
sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12t6hxhz/lgb.p',i_0_95) ).
cnf(i_0_7,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12t6hxhz/lgb.p',i_0_7) ).
cnf(i_0_96,hypothesis,
sdtpldt0(sdtpldt0(xn,xm),xr) != sdtpldt0(sdtpldt0(xn,xm),xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12t6hxhz/lgb.p',i_0_96) ).
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-12t6hxhz/lgb.p',i_0_49) ).
cnf(i_0_5,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12t6hxhz/lgb.p',i_0_5) ).
cnf(i_0_71,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12t6hxhz/lgb.p',i_0_71) ).
cnf(c_0_113,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_114,hypothesis,
doDivides0(xr,sdtasdt0(xn,xm)),
i_0_91 ).
cnf(c_0_115,hypothesis,
isPrime0(xr),
i_0_88 ).
cnf(c_0_116,hypothesis,
aNaturalNumber0(xn),
i_0_73 ).
cnf(c_0_117,hypothesis,
aNaturalNumber0(xm),
i_0_72 ).
cnf(c_0_118,hypothesis,
aNaturalNumber0(xr),
i_0_90 ).
cnf(c_0_119,negated_conjecture,
~ doDivides0(xr,xn),
i_0_98 ).
cnf(c_0_120,negated_conjecture,
~ doDivides0(xr,xm),
i_0_97 ).
cnf(c_0_121,hypothesis,
sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)),
i_0_95 ).
cnf(c_0_122,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_7 ).
cnf(c_0_123,hypothesis,
sdtpldt0(sdtpldt0(xn,xm),xr) != sdtpldt0(sdtpldt0(xn,xm),xp),
i_0_96 ).
cnf(c_0_124,hypothesis,
~ iLess0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)),
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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]),c_0_116]),c_0_117]),c_0_118])]),c_0_119]),c_0_120]) ).
cnf(c_0_125,plain,
( X1 = X2
| iLess0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_49 ).
cnf(c_0_126,hypothesis,
sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xn),xr),sdtpldt0(sdtpldt0(xm,xn),xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_116]),c_0_117])]) ).
cnf(c_0_127,hypothesis,
sdtpldt0(sdtpldt0(xm,xn),xr) != sdtpldt0(sdtpldt0(xm,xn),xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_122]),c_0_116]),c_0_117])]) ).
cnf(c_0_128,plain,
~ iLess0(sdtpldt0(sdtpldt0(xm,xn),xr),sdtpldt0(sdtpldt0(xm,xn),xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_122]),c_0_117]),c_0_116])]) ).
cnf(c_0_129,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xm,xn),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xm,xn),xr)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_127]),c_0_128]) ).
cnf(c_0_130,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_5 ).
cnf(c_0_131,hypothesis,
aNaturalNumber0(xp),
i_0_71 ).
cnf(c_0_132,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xm,xn),xr))
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131])]) ).
cnf(c_0_133,plain,
~ aNaturalNumber0(sdtpldt0(sdtpldt0(xm,xn),xr)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_130]),c_0_116]),c_0_117])]) ).
cnf(c_0_134,plain,
~ aNaturalNumber0(sdtpldt0(xm,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_130]),c_0_118])]) ).
cnf(c_0_135,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_130]),c_0_116]),c_0_117])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : NUM508+1 : TPTP v8.1.0. Released v4.0.0.
% 0.09/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 5 11:25:14 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 7.44/2.37 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.44/2.37 # No SInE strategy applied
% 7.44/2.37 # Trying AutoSched0 for 150 seconds
% 7.44/2.37 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 7.44/2.37 # and selection function SelectNewComplexAHP.
% 7.44/2.37 #
% 7.44/2.37 # Preprocessing time : 0.024 s
% 7.44/2.37 # Presaturation interreduction done
% 7.44/2.37
% 7.44/2.37 # Proof found!
% 7.44/2.37 # SZS status Theorem
% 7.44/2.37 # SZS output start CNFRefutation
% See solution above
% 7.44/2.37 # Training examples: 0 positive, 0 negative
% 7.44/2.37
% 7.44/2.37 # -------------------------------------------------
% 7.44/2.37 # User time : 0.044 s
% 7.44/2.37 # System time : 0.006 s
% 7.44/2.37 # Total time : 0.050 s
% 7.44/2.37 # Maximum resident set size: 7124 pages
% 7.44/2.37
%------------------------------------------------------------------------------