TSTP Solution File: NUM518+3 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM518+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n007.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 08:36:53 EDT 2022
% Result : Theorem 7.90s 2.31s
% Output : CNFRefutation 7.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 19
% Syntax : Number of clauses : 53 ( 31 unt; 10 nHn; 53 RR)
% Number of literals : 109 ( 30 equ; 55 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_50,plain,
( doDivides0(X1,X2)
| X2 != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8mv4w4ti/lgb.p',i_0_50) ).
cnf(i_0_6,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8mv4w4ti/lgb.p',i_0_6) ).
cnf(i_0_273,hypothesis,
( sdtsldt0(xn,xr) = sdtasdt0(xp,esk21_0)
| doDivides0(xp,xm) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8mv4w4ti/lgb.p',i_0_273) ).
cnf(i_0_285,negated_conjecture,
~ doDivides0(xp,xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8mv4w4ti/lgb.p',i_0_285) ).
cnf(i_0_53,plain,
( X1 = sz00
| X2 = sdtsldt0(X3,X1)
| X3 != sdtasdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8mv4w4ti/lgb.p',i_0_53) ).
cnf(i_0_257,hypothesis,
sdtlseqdt0(sdtsldt0(xn,xr),xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8mv4w4ti/lgb.p',i_0_257) ).
cnf(i_0_255,hypothesis,
sdtasdt0(xr,esk18_0) = xn,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8mv4w4ti/lgb.p',i_0_255) ).
cnf(i_0_256,hypothesis,
aNaturalNumber0(esk18_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8mv4w4ti/lgb.p',i_0_256) ).
cnf(i_0_235,hypothesis,
aNaturalNumber0(xr),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8mv4w4ti/lgb.p',i_0_235) ).
cnf(i_0_231,hypothesis,
sz00 != xr,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8mv4w4ti/lgb.p',i_0_231) ).
cnf(i_0_276,hypothesis,
( aNaturalNumber0(esk21_0)
| doDivides0(xp,xm) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8mv4w4ti/lgb.p',i_0_276) ).
cnf(i_0_34,plain,
( sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8mv4w4ti/lgb.p',i_0_34) ).
cnf(i_0_73,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8mv4w4ti/lgb.p',i_0_73) ).
cnf(i_0_47,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8mv4w4ti/lgb.p',i_0_47) ).
cnf(i_0_71,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8mv4w4ti/lgb.p',i_0_71) ).
cnf(i_0_208,hypothesis,
~ sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8mv4w4ti/lgb.p',i_0_208) ).
cnf(i_0_16,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8mv4w4ti/lgb.p',i_0_16) ).
cnf(i_0_288,negated_conjecture,
( sdtasdt0(xp,X1) != xn
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8mv4w4ti/lgb.p',i_0_288) ).
cnf(i_0_2,plain,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8mv4w4ti/lgb.p',i_0_2) ).
cnf(c_0_308,plain,
( doDivides0(X1,X2)
| X2 != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
i_0_50 ).
cnf(c_0_309,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_6 ).
cnf(c_0_310,hypothesis,
( sdtsldt0(xn,xr) = sdtasdt0(xp,esk21_0)
| doDivides0(xp,xm) ),
i_0_273 ).
cnf(c_0_311,negated_conjecture,
~ doDivides0(xp,xm),
i_0_285 ).
cnf(c_0_312,plain,
( X1 = sz00
| X2 = sdtsldt0(X3,X1)
| X3 != sdtasdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X3) ),
i_0_53 ).
cnf(c_0_313,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_308]),c_0_309]) ).
cnf(c_0_314,hypothesis,
sdtlseqdt0(sdtsldt0(xn,xr),xn),
i_0_257 ).
cnf(c_0_315,hypothesis,
sdtsldt0(xn,xr) = sdtasdt0(xp,esk21_0),
inference(sr,[status(thm)],[c_0_310,c_0_311]) ).
cnf(c_0_316,plain,
( sdtsldt0(sdtasdt0(X1,X2),X1) = X2
| X1 = sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_312]),c_0_313]),c_0_309]) ).
cnf(c_0_317,hypothesis,
sdtasdt0(xr,esk18_0) = xn,
i_0_255 ).
cnf(c_0_318,hypothesis,
aNaturalNumber0(esk18_0),
i_0_256 ).
cnf(c_0_319,hypothesis,
aNaturalNumber0(xr),
i_0_235 ).
cnf(c_0_320,hypothesis,
sz00 != xr,
i_0_231 ).
cnf(c_0_321,hypothesis,
sdtlseqdt0(sdtasdt0(xp,esk21_0),xn),
inference(rw,[status(thm)],[c_0_314,c_0_315]) ).
cnf(c_0_322,hypothesis,
sdtasdt0(xp,esk21_0) = esk18_0,
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_316,c_0_317]),c_0_315]),c_0_318]),c_0_319])]),c_0_320]) ).
cnf(c_0_323,hypothesis,
( aNaturalNumber0(esk21_0)
| doDivides0(xp,xm) ),
i_0_276 ).
cnf(c_0_324,plain,
( sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3) ),
i_0_34 ).
cnf(c_0_325,hypothesis,
sdtlseqdt0(esk18_0,xn),
inference(rw,[status(thm)],[c_0_321,c_0_322]) ).
cnf(c_0_326,hypothesis,
aNaturalNumber0(xn),
i_0_73 ).
cnf(c_0_327,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_47 ).
cnf(c_0_328,hypothesis,
aNaturalNumber0(xp),
i_0_71 ).
cnf(c_0_329,hypothesis,
aNaturalNumber0(esk21_0),
inference(sr,[status(thm)],[c_0_323,c_0_311]) ).
cnf(c_0_330,plain,
( sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,esk18_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_325]),c_0_318]),c_0_326])]) ).
cnf(c_0_331,plain,
( esk21_0 = sz00
| sdtlseqdt0(xp,esk18_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_322]),c_0_328]),c_0_329])]) ).
cnf(c_0_332,hypothesis,
~ sdtlseqdt0(xp,xn),
i_0_208 ).
cnf(c_0_333,plain,
esk21_0 = sz00,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_331]),c_0_328])]),c_0_332]) ).
cnf(c_0_334,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
i_0_16 ).
cnf(c_0_335,hypothesis,
sdtasdt0(xp,sz00) = esk18_0,
inference(rw,[status(thm)],[c_0_322,c_0_333]) ).
cnf(c_0_336,plain,
esk18_0 = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_335]),c_0_328])]) ).
cnf(c_0_337,negated_conjecture,
( sdtasdt0(xp,X1) != xn
| ~ aNaturalNumber0(X1) ),
i_0_288 ).
cnf(c_0_338,plain,
aNaturalNumber0(sz00),
i_0_2 ).
cnf(c_0_339,hypothesis,
sdtasdt0(xr,sz00) = xn,
inference(rw,[status(thm)],[c_0_317,c_0_336]) ).
cnf(c_0_340,negated_conjecture,
sz00 != xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_334]),c_0_338]),c_0_328])]) ).
cnf(c_0_341,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_339]),c_0_319])]),c_0_340]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM518+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jul 7 01:58:16 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.44 # ENIGMATIC: Selected complete mode:
% 7.90/2.31 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.90/2.31 # No SInE strategy applied
% 7.90/2.31 # Trying AutoSched0 for 150 seconds
% 7.90/2.31 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 7.90/2.31 # and selection function SelectNewComplexAHP.
% 7.90/2.31 #
% 7.90/2.31 # Preprocessing time : 0.026 s
% 7.90/2.31 # Presaturation interreduction done
% 7.90/2.31
% 7.90/2.31 # Proof found!
% 7.90/2.31 # SZS status Theorem
% 7.90/2.31 # SZS output start CNFRefutation
% See solution above
% 7.90/2.31 # Training examples: 0 positive, 0 negative
% 7.90/2.31
% 7.90/2.31 # -------------------------------------------------
% 7.90/2.31 # User time : 0.055 s
% 7.90/2.31 # System time : 0.004 s
% 7.90/2.31 # Total time : 0.059 s
% 7.90/2.31 # Maximum resident set size: 7124 pages
% 7.90/2.31
%------------------------------------------------------------------------------