TSTP Solution File: NUM474+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM474+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n005.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 08:36:23 EDT 2022
% Result : Theorem 9.59s 2.44s
% Output : CNFRefutation 9.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 20
% Syntax : Number of clauses : 60 ( 33 unt; 6 nHn; 60 RR)
% Number of literals : 142 ( 40 equ; 82 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 54 ( 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/sandbox/tmp/enigma-theBenchmark.p-8sdlbzq7/input.p',i_0_55) ).
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-8sdlbzq7/input.p',i_0_31) ).
cnf(i_0_61,hypothesis,
doDivides0(xl,sdtpldt0(xm,xn)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8sdlbzq7/input.p',i_0_61) ).
cnf(i_0_65,hypothesis,
sdtsldt0(sdtpldt0(xm,xn),xl) = xq,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8sdlbzq7/input.p',i_0_65) ).
cnf(i_0_60,hypothesis,
aNaturalNumber0(xl),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8sdlbzq7/input.p',i_0_60) ).
cnf(i_0_63,hypothesis,
sz00 != xl,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8sdlbzq7/input.p',i_0_63) ).
cnf(i_0_66,hypothesis,
sdtlseqdt0(xp,xq),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8sdlbzq7/input.p',i_0_66) ).
cnf(i_0_67,hypothesis,
sdtmndt0(xq,xp) = xr,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8sdlbzq7/input.p',i_0_67) ).
cnf(i_0_62,hypothesis,
doDivides0(xl,xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8sdlbzq7/input.p',i_0_62) ).
cnf(i_0_64,hypothesis,
sdtsldt0(xm,xl) = xp,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8sdlbzq7/input.p',i_0_64) ).
cnf(i_0_59,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8sdlbzq7/input.p',i_0_59) ).
cnf(i_0_30,plain,
( sdtpldt0(X1,X2) = X3
| X2 != sdtmndt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8sdlbzq7/input.p',i_0_30) ).
cnf(i_0_5,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8sdlbzq7/input.p',i_0_5) ).
cnf(i_0_58,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8sdlbzq7/input.p',i_0_58) ).
cnf(i_0_51,plain,
( sdtasdt0(X1,esk2_2(X1,X2)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8sdlbzq7/input.p',i_0_51) ).
cnf(i_0_52,plain,
( aNaturalNumber0(esk2_2(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8sdlbzq7/input.p',i_0_52) ).
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-8sdlbzq7/input.p',i_0_54) ).
cnf(i_0_68,negated_conjecture,
sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) != sdtpldt0(sdtasdt0(xl,xp),xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8sdlbzq7/input.p',i_0_68) ).
cnf(i_0_18,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8sdlbzq7/input.p',i_0_18) ).
cnf(i_0_6,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8sdlbzq7/input.p',i_0_6) ).
cnf(c_0_89,plain,
( X1 = sz00
| aNaturalNumber0(X2)
| X2 != sdtsldt0(X3,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X3) ),
i_0_55 ).
cnf(c_0_90,plain,
( aNaturalNumber0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X3,X2) ),
i_0_31 ).
cnf(c_0_91,plain,
( X1 = sz00
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_89]) ).
cnf(c_0_92,hypothesis,
doDivides0(xl,sdtpldt0(xm,xn)),
i_0_61 ).
cnf(c_0_93,hypothesis,
sdtsldt0(sdtpldt0(xm,xn),xl) = xq,
i_0_65 ).
cnf(c_0_94,hypothesis,
aNaturalNumber0(xl),
i_0_60 ).
cnf(c_0_95,hypothesis,
sz00 != xl,
i_0_63 ).
cnf(c_0_96,plain,
( aNaturalNumber0(sdtmndt0(X1,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_90]) ).
cnf(c_0_97,hypothesis,
sdtlseqdt0(xp,xq),
i_0_66 ).
cnf(c_0_98,hypothesis,
sdtmndt0(xq,xp) = xr,
i_0_67 ).
cnf(c_0_99,hypothesis,
doDivides0(xl,xm),
i_0_62 ).
cnf(c_0_100,hypothesis,
sdtsldt0(xm,xl) = xp,
i_0_64 ).
cnf(c_0_101,hypothesis,
aNaturalNumber0(xm),
i_0_59 ).
cnf(c_0_102,plain,
( sdtpldt0(X1,X2) = X3
| X2 != sdtmndt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X3) ),
i_0_30 ).
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_91,c_0_92]),c_0_93]),c_0_94])]),c_0_95]) ).
cnf(c_0_104,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_5 ).
cnf(c_0_105,hypothesis,
aNaturalNumber0(xn),
i_0_58 ).
cnf(c_0_106,hypothesis,
( aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98]) ).
cnf(c_0_107,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_91,c_0_99]),c_0_100]),c_0_101]),c_0_94])]),c_0_95]) ).
cnf(c_0_108,plain,
( sdtasdt0(X1,esk2_2(X1,X2)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
i_0_51 ).
cnf(c_0_109,plain,
( aNaturalNumber0(esk2_2(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2) ),
i_0_52 ).
cnf(c_0_110,plain,
( sdtpldt0(X1,sdtmndt0(X2,X1)) = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_102]) ).
cnf(c_0_111,plain,
aNaturalNumber0(xq),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]),c_0_101])]) ).
cnf(c_0_112,hypothesis,
( aNaturalNumber0(xr)
| ~ aNaturalNumber0(xq) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_107])]) ).
cnf(c_0_113,plain,
( X1 = sz00
| X2 = sdtasdt0(X1,X3)
| X3 != sdtsldt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
i_0_54 ).
cnf(c_0_114,hypothesis,
( sdtasdt0(xl,esk2_2(xl,sdtpldt0(xm,xn))) = sdtpldt0(xm,xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_92]),c_0_94])]) ).
cnf(c_0_115,hypothesis,
( aNaturalNumber0(esk2_2(xl,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_92]),c_0_94])]) ).
cnf(c_0_116,negated_conjecture,
sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) != sdtpldt0(sdtasdt0(xl,xp),xn),
i_0_68 ).
cnf(c_0_117,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_18 ).
cnf(c_0_118,hypothesis,
sdtpldt0(xp,xr) = xq,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_97]),c_0_98]),c_0_111]),c_0_107])]) ).
cnf(c_0_119,hypothesis,
aNaturalNumber0(xr),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_111])]) ).
cnf(c_0_120,plain,
( sdtasdt0(X1,sdtsldt0(X2,X1)) = X2
| X1 = sz00
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_113]) ).
cnf(c_0_121,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_6 ).
cnf(c_0_122,plain,
sdtasdt0(xl,esk2_2(xl,sdtpldt0(xm,xn))) = sdtpldt0(xm,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_104]),c_0_105]),c_0_101])]) ).
cnf(c_0_123,plain,
aNaturalNumber0(esk2_2(xl,sdtpldt0(xm,xn))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_104]),c_0_105]),c_0_101])]) ).
cnf(c_0_124,negated_conjecture,
sdtpldt0(sdtasdt0(xl,xp),xn) != sdtasdt0(xl,xq),
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_116,c_0_117]),c_0_118]),c_0_119]),c_0_107]),c_0_94])]) ).
cnf(c_0_125,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_120,c_0_99]),c_0_100]),c_0_101]),c_0_94])]),c_0_95]) ).
cnf(c_0_126,plain,
aNaturalNumber0(sdtpldt0(xm,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]),c_0_94])]) ).
cnf(c_0_127,negated_conjecture,
sdtpldt0(xm,xn) != sdtasdt0(xl,xq),
inference(rw,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_128,hypothesis,
$false,
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_120,c_0_92]),c_0_93]),c_0_126]),c_0_94])]),c_0_95]),c_0_127]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM474+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n005.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 07:47:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 9.59/2.44 # ENIGMATIC: Solved by autoschedule:
% 9.59/2.44 # No SInE strategy applied
% 9.59/2.44 # Trying AutoSched0 for 150 seconds
% 9.59/2.44 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2m
% 9.59/2.44 # and selection function SelectCQArNTNpEqFirst.
% 9.59/2.44 #
% 9.59/2.44 # Preprocessing time : 0.013 s
% 9.59/2.44 # Presaturation interreduction done
% 9.59/2.44
% 9.59/2.44 # Proof found!
% 9.59/2.44 # SZS status Theorem
% 9.59/2.44 # SZS output start CNFRefutation
% See solution above
% 9.59/2.44 # Training examples: 0 positive, 0 negative
% 9.59/2.44
% 9.59/2.44 # -------------------------------------------------
% 9.59/2.44 # User time : 0.020 s
% 9.59/2.44 # System time : 0.006 s
% 9.59/2.44 # Total time : 0.026 s
% 9.59/2.44 # Maximum resident set size: 7124 pages
% 9.59/2.44
%------------------------------------------------------------------------------