TSTP Solution File: NUM516+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM516+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n008.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 08:36:51 EDT 2022
% Result : Theorem 13.00s 3.06s
% Output : CNFRefutation 13.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of clauses : 42 ( 22 unt; 5 nHn; 42 RR)
% Number of literals : 100 ( 25 equ; 60 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_100,negated_conjecture,
( sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uhee41yp/lgb.p',i_0_100) ).
cnf(i_0_8,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uhee41yp/lgb.p',i_0_8) ).
cnf(i_0_71,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uhee41yp/lgb.p',i_0_71) ).
cnf(i_0_72,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uhee41yp/lgb.p',i_0_72) ).
cnf(i_0_73,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uhee41yp/lgb.p',i_0_73) ).
cnf(i_0_37,plain,
( X1 = X2
| sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uhee41yp/lgb.p',i_0_37) ).
cnf(i_0_97,hypothesis,
sdtlseqdt0(sdtsldt0(xn,xr),xn),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uhee41yp/lgb.p',i_0_97) ).
cnf(i_0_98,hypothesis,
sdtsldt0(xn,xr) != xn,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uhee41yp/lgb.p',i_0_98) ).
cnf(i_0_19,plain,
( X1 = X2
| sdtpldt0(X1,X3) != sdtpldt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uhee41yp/lgb.p',i_0_19) ).
cnf(i_0_5,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uhee41yp/lgb.p',i_0_5) ).
cnf(i_0_55,plain,
( X1 = sz00
| aNaturalNumber0(X2)
| X2 != sdtsldt0(X3,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uhee41yp/lgb.p',i_0_55) ).
cnf(i_0_67,plain,
( X1 != sz00
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uhee41yp/lgb.p',i_0_67) ).
cnf(i_0_2,plain,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uhee41yp/lgb.p',i_0_2) ).
cnf(i_0_96,hypothesis,
doDivides0(xr,xn),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uhee41yp/lgb.p',i_0_96) ).
cnf(i_0_90,hypothesis,
aNaturalNumber0(xr),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uhee41yp/lgb.p',i_0_90) ).
cnf(i_0_88,hypothesis,
isPrime0(xr),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uhee41yp/lgb.p',i_0_88) ).
cnf(c_0_117,negated_conjecture,
( sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
i_0_100 ).
cnf(c_0_118,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_8 ).
cnf(c_0_119,hypothesis,
aNaturalNumber0(xp),
i_0_71 ).
cnf(c_0_120,hypothesis,
aNaturalNumber0(xm),
i_0_72 ).
cnf(c_0_121,hypothesis,
aNaturalNumber0(xn),
i_0_73 ).
cnf(c_0_122,negated_conjecture,
( sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) = sdtpldt0(xn,sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(xn,sdtpldt0(xm,xp))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119]),c_0_120]),c_0_121])]) ).
cnf(c_0_123,plain,
( sdtpldt0(sdtsldt0(xn,xr),sdtpldt0(xm,xp)) = sdtpldt0(xn,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),sdtpldt0(xm,xp)),sdtpldt0(xn,sdtpldt0(xm,xp))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_118]),c_0_119]),c_0_120])]) ).
cnf(c_0_124,plain,
( X1 = X2
| sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_37 ).
cnf(c_0_125,hypothesis,
sdtlseqdt0(sdtsldt0(xn,xr),xn),
i_0_97 ).
cnf(c_0_126,hypothesis,
sdtsldt0(xn,xr) != xn,
i_0_98 ).
cnf(c_0_127,plain,
( X1 = X2
| sdtpldt0(X1,X3) != sdtpldt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
i_0_19 ).
cnf(c_0_128,plain,
( sdtpldt0(sdtsldt0(xn,xr),sdtpldt0(xm,xp)) = sdtpldt0(xn,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_121]),c_0_125])]),c_0_126]) ).
cnf(c_0_129,plain,
( sdtsldt0(xn,xr) = X1
| sdtpldt0(xn,sdtpldt0(xm,xp)) != sdtpldt0(X1,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_130,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_129]),c_0_121])]),c_0_126]) ).
cnf(c_0_131,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_5 ).
cnf(c_0_132,plain,
( X1 = sz00
| aNaturalNumber0(X2)
| X2 != sdtsldt0(X3,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X3) ),
i_0_55 ).
cnf(c_0_133,plain,
( X1 != sz00
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X1) ),
i_0_67 ).
cnf(c_0_134,plain,
aNaturalNumber0(sz00),
i_0_2 ).
cnf(c_0_135,plain,
~ aNaturalNumber0(sdtsldt0(xn,xr)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_119]),c_0_120])]) ).
cnf(c_0_136,plain,
( X1 = sz00
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_132]) ).
cnf(c_0_137,hypothesis,
doDivides0(xr,xn),
i_0_96 ).
cnf(c_0_138,hypothesis,
aNaturalNumber0(xr),
i_0_90 ).
cnf(c_0_139,plain,
~ isPrime0(sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_133]),c_0_134])]) ).
cnf(c_0_140,plain,
sz00 = xr,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_137]),c_0_121]),c_0_138])]) ).
cnf(c_0_141,hypothesis,
isPrime0(xr),
i_0_88 ).
cnf(c_0_142,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_140]),c_0_141])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM516+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 : n008.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 : Thu Jul 7 13:48:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected complete mode:
% 13.00/3.06 # ENIGMATIC: Solved by autoschedule-lgb:
% 13.00/3.06 # No SInE strategy applied
% 13.00/3.06 # Trying AutoSched0 for 150 seconds
% 13.00/3.06 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 13.00/3.06 # and selection function SelectMaxLComplexAvoidPosPred.
% 13.00/3.06 #
% 13.00/3.06 # Preprocessing time : 0.026 s
% 13.00/3.06
% 13.00/3.06 # Proof found!
% 13.00/3.06 # SZS status Theorem
% 13.00/3.06 # SZS output start CNFRefutation
% See solution above
% 13.00/3.06 # Training examples: 0 positive, 0 negative
% 13.00/3.06
% 13.00/3.06 # -------------------------------------------------
% 13.00/3.06 # User time : 0.724 s
% 13.00/3.06 # System time : 0.023 s
% 13.00/3.06 # Total time : 0.747 s
% 13.00/3.06 # Maximum resident set size: 7124 pages
% 13.00/3.06
%------------------------------------------------------------------------------