TSTP Solution File: NUM505+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM505+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n013.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 08:36:44 EDT 2022
% Result : Theorem 8.17s 2.50s
% Output : CNFRefutation 8.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of clauses : 37 ( 19 unt; 8 nHn; 37 RR)
% Number of literals : 75 ( 18 equ; 35 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 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 : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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-epp0fyyf/lgb.p',i_0_55) ).
cnf(i_0_75,hypothesis,
doDivides0(xp,sdtasdt0(xn,xm)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-epp0fyyf/lgb.p',i_0_75) ).
cnf(i_0_83,hypothesis,
sdtsldt0(sdtasdt0(xn,xm),xp) = xk,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-epp0fyyf/lgb.p',i_0_83) ).
cnf(i_0_71,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-epp0fyyf/lgb.p',i_0_71) ).
cnf(i_0_93,negated_conjecture,
( xk = xp
| ~ sdtlseqdt0(xk,xp) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-epp0fyyf/lgb.p',i_0_93) ).
cnf(i_0_35,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-epp0fyyf/lgb.p',i_0_35) ).
cnf(i_0_94,negated_conjecture,
~ sdtlseqdt0(xp,xk),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-epp0fyyf/lgb.p',i_0_94) ).
cnf(i_0_6,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-epp0fyyf/lgb.p',i_0_6) ).
cnf(i_0_72,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-epp0fyyf/lgb.p',i_0_72) ).
cnf(i_0_73,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-epp0fyyf/lgb.p',i_0_73) ).
cnf(i_0_32,plain,
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-epp0fyyf/lgb.p',i_0_32) ).
cnf(i_0_67,plain,
( X1 != sz00
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-epp0fyyf/lgb.p',i_0_67) ).
cnf(i_0_2,plain,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-epp0fyyf/lgb.p',i_0_2) ).
cnf(i_0_76,hypothesis,
isPrime0(xp),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-epp0fyyf/lgb.p',i_0_76) ).
cnf(c_0_109,plain,
( X1 = sz00
| aNaturalNumber0(X2)
| X2 != sdtsldt0(X3,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X3) ),
i_0_55 ).
cnf(c_0_110,plain,
( X1 = sz00
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_109]) ).
cnf(c_0_111,hypothesis,
doDivides0(xp,sdtasdt0(xn,xm)),
i_0_75 ).
cnf(c_0_112,hypothesis,
sdtsldt0(sdtasdt0(xn,xm),xp) = xk,
i_0_83 ).
cnf(c_0_113,hypothesis,
aNaturalNumber0(xp),
i_0_71 ).
cnf(c_0_114,negated_conjecture,
( xk = xp
| ~ sdtlseqdt0(xk,xp) ),
i_0_93 ).
cnf(c_0_115,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_35 ).
cnf(c_0_116,negated_conjecture,
~ sdtlseqdt0(xp,xk),
i_0_94 ).
cnf(c_0_117,hypothesis,
( xp = sz00
| aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]),c_0_113])]) ).
cnf(c_0_118,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_6 ).
cnf(c_0_119,hypothesis,
aNaturalNumber0(xm),
i_0_72 ).
cnf(c_0_120,hypothesis,
aNaturalNumber0(xn),
i_0_73 ).
cnf(c_0_121,negated_conjecture,
( xk = xp
| ~ aNaturalNumber0(xk) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_113])]),c_0_116]) ).
cnf(c_0_122,plain,
( xp = sz00
| aNaturalNumber0(xk) ),
inference(cn,[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])]) ).
cnf(c_0_123,negated_conjecture,
( xp = sz00
| xk = xp ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_124,negated_conjecture,
( xp = sz00
| ~ sdtlseqdt0(xp,xp) ),
inference(spm,[status(thm)],[c_0_116,c_0_123]) ).
cnf(c_0_125,plain,
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1) ),
i_0_32 ).
cnf(c_0_126,plain,
( X1 != sz00
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X1) ),
i_0_67 ).
cnf(c_0_127,plain,
aNaturalNumber0(sz00),
i_0_2 ).
cnf(c_0_128,hypothesis,
isPrime0(xp),
i_0_76 ).
cnf(c_0_129,plain,
xp = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_113])]) ).
cnf(c_0_130,plain,
~ isPrime0(sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_126]),c_0_127])]) ).
cnf(c_0_131,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_129]),c_0_130]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUM505+1 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jul 5 12:20:46 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.20/0.47 # ENIGMATIC: Selected complete mode:
% 8.17/2.50 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.17/2.50 # No SInE strategy applied
% 8.17/2.50 # Trying AutoSched0 for 150 seconds
% 8.17/2.50 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 8.17/2.50 # and selection function SelectNewComplexAHP.
% 8.17/2.50 #
% 8.17/2.50 # Preprocessing time : 0.014 s
% 8.17/2.50 # Presaturation interreduction done
% 8.17/2.50
% 8.17/2.50 # Proof found!
% 8.17/2.50 # SZS status Theorem
% 8.17/2.50 # SZS output start CNFRefutation
% See solution above
% 8.17/2.50 # Training examples: 0 positive, 0 negative
% 8.17/2.50
% 8.17/2.50 # -------------------------------------------------
% 8.17/2.50 # User time : 0.025 s
% 8.17/2.50 # System time : 0.004 s
% 8.17/2.50 # Total time : 0.029 s
% 8.17/2.50 # Maximum resident set size: 7124 pages
% 8.17/2.50
%------------------------------------------------------------------------------