TSTP Solution File: NUM513+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM513+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n021.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 08:36:50 EDT 2022
% Result : Theorem 10.15s 2.62s
% Output : CNFRefutation 10.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 27
% Syntax : Number of clauses : 76 ( 57 unt; 10 nHn; 76 RR)
% Number of literals : 145 ( 68 equ; 66 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_265,hypothesis,
sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr) = sdtasdt0(xn,xm),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g8ty0xyr/lgb.p',i_0_265) ).
cnf(i_0_221,hypothesis,
sdtasdt0(xp,xk) = sdtasdt0(xn,xm),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g8ty0xyr/lgb.p',i_0_221) ).
cnf(i_0_237,hypothesis,
sdtasdt0(xr,esk14_0) = sdtasdt0(xn,xm),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g8ty0xyr/lgb.p',i_0_237) ).
cnf(i_0_50,plain,
( doDivides0(X1,X2)
| X2 != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g8ty0xyr/lgb.p',i_0_50) ).
cnf(i_0_6,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g8ty0xyr/lgb.p',i_0_6) ).
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/sandbox2/tmp/enigma-theBenchmark.p-g8ty0xyr/lgb.p',i_0_53) ).
cnf(i_0_22,plain,
( X1 = X2
| X3 = sz00
| sdtasdt0(X3,X1) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g8ty0xyr/lgb.p',i_0_22) ).
cnf(i_0_255,hypothesis,
sdtasdt0(xr,esk18_0) = xn,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g8ty0xyr/lgb.p',i_0_255) ).
cnf(i_0_235,hypothesis,
aNaturalNumber0(xr),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g8ty0xyr/lgb.p',i_0_235) ).
cnf(i_0_256,hypothesis,
aNaturalNumber0(esk18_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g8ty0xyr/lgb.p',i_0_256) ).
cnf(i_0_231,hypothesis,
sz00 != xr,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g8ty0xyr/lgb.p',i_0_231) ).
cnf(i_0_233,hypothesis,
sdtasdt0(xr,esk12_0) = xk,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g8ty0xyr/lgb.p',i_0_233) ).
cnf(i_0_234,hypothesis,
aNaturalNumber0(esk12_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g8ty0xyr/lgb.p',i_0_234) ).
cnf(i_0_238,hypothesis,
aNaturalNumber0(esk14_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g8ty0xyr/lgb.p',i_0_238) ).
cnf(i_0_268,hypothesis,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) = sdtasdt0(xn,xm),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g8ty0xyr/lgb.p',i_0_268) ).
cnf(i_0_272,negated_conjecture,
sdtasdt0(xr,sdtsldt0(xn,xr)) = xn,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g8ty0xyr/lgb.p',i_0_272) ).
cnf(i_0_273,negated_conjecture,
aNaturalNumber0(sdtsldt0(xn,xr)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g8ty0xyr/lgb.p',i_0_273) ).
cnf(i_0_274,negated_conjecture,
sdtasdt0(xr,sdtsldt0(xk,xr)) = xk,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g8ty0xyr/lgb.p',i_0_274) ).
cnf(i_0_275,negated_conjecture,
aNaturalNumber0(sdtsldt0(xk,xr)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g8ty0xyr/lgb.p',i_0_275) ).
cnf(i_0_21,plain,
( X1 = X2
| X3 = sz00
| sdtasdt0(X1,X3) != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g8ty0xyr/lgb.p',i_0_21) ).
cnf(i_0_271,negated_conjecture,
sdtasdt0(sdtsldt0(xn,xr),xm) != sdtasdt0(xp,sdtsldt0(xk,xr)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g8ty0xyr/lgb.p',i_0_271) ).
cnf(i_0_267,hypothesis,
aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g8ty0xyr/lgb.p',i_0_267) ).
cnf(i_0_72,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g8ty0xyr/lgb.p',i_0_72) ).
cnf(i_0_60,plain,
( X1 = sz00
| sdtsldt0(sdtasdt0(X2,X3),X1) = sdtasdt0(X2,sdtsldt0(X3,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g8ty0xyr/lgb.p',i_0_60) ).
cnf(i_0_222,hypothesis,
aNaturalNumber0(xk),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g8ty0xyr/lgb.p',i_0_222) ).
cnf(i_0_71,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g8ty0xyr/lgb.p',i_0_71) ).
cnf(i_0_232,hypothesis,
doDivides0(xr,xk),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g8ty0xyr/lgb.p',i_0_232) ).
cnf(c_0_303,hypothesis,
sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr) = sdtasdt0(xn,xm),
i_0_265 ).
cnf(c_0_304,hypothesis,
sdtasdt0(xp,xk) = sdtasdt0(xn,xm),
i_0_221 ).
cnf(c_0_305,hypothesis,
sdtasdt0(xr,esk14_0) = sdtasdt0(xn,xm),
i_0_237 ).
cnf(c_0_306,plain,
( doDivides0(X1,X2)
| X2 != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
i_0_50 ).
cnf(c_0_307,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_6 ).
cnf(c_0_308,hypothesis,
sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr) = sdtasdt0(xp,xk),
inference(rw,[status(thm)],[c_0_303,c_0_304]) ).
cnf(c_0_309,hypothesis,
sdtasdt0(xp,xk) = sdtasdt0(xr,esk14_0),
inference(rw,[status(thm)],[c_0_305,c_0_304]) ).
cnf(c_0_310,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_311,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_306]),c_0_307]) ).
cnf(c_0_312,plain,
( X1 = X2
| X3 = sz00
| sdtasdt0(X3,X1) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_22 ).
cnf(c_0_313,hypothesis,
sdtasdt0(xr,esk18_0) = xn,
i_0_255 ).
cnf(c_0_314,hypothesis,
aNaturalNumber0(xr),
i_0_235 ).
cnf(c_0_315,hypothesis,
aNaturalNumber0(esk18_0),
i_0_256 ).
cnf(c_0_316,hypothesis,
sz00 != xr,
i_0_231 ).
cnf(c_0_317,hypothesis,
sdtasdt0(xr,esk12_0) = xk,
i_0_233 ).
cnf(c_0_318,hypothesis,
aNaturalNumber0(esk12_0),
i_0_234 ).
cnf(c_0_319,hypothesis,
sdtasdt0(sdtsldt0(sdtasdt0(xr,esk14_0),xr),xr) = sdtasdt0(xr,esk14_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_308,c_0_309]),c_0_309]) ).
cnf(c_0_320,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_310]),c_0_307]),c_0_311]) ).
cnf(c_0_321,hypothesis,
aNaturalNumber0(esk14_0),
i_0_238 ).
cnf(c_0_322,hypothesis,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) = sdtasdt0(xn,xm),
i_0_268 ).
cnf(c_0_323,hypothesis,
( X1 = esk18_0
| sdtasdt0(xr,X1) != xn
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_313]),c_0_314]),c_0_315])]),c_0_316]) ).
cnf(c_0_324,negated_conjecture,
sdtasdt0(xr,sdtsldt0(xn,xr)) = xn,
i_0_272 ).
cnf(c_0_325,negated_conjecture,
aNaturalNumber0(sdtsldt0(xn,xr)),
i_0_273 ).
cnf(c_0_326,hypothesis,
( X1 = esk12_0
| sdtasdt0(xr,X1) != xk
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_317]),c_0_314]),c_0_318])]),c_0_316]) ).
cnf(c_0_327,negated_conjecture,
sdtasdt0(xr,sdtsldt0(xk,xr)) = xk,
i_0_274 ).
cnf(c_0_328,negated_conjecture,
aNaturalNumber0(sdtsldt0(xk,xr)),
i_0_275 ).
cnf(c_0_329,plain,
( X1 = X2
| X3 = sz00
| sdtasdt0(X1,X3) != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
i_0_21 ).
cnf(c_0_330,hypothesis,
sdtasdt0(esk14_0,xr) = sdtasdt0(xr,esk14_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_320]),c_0_321]),c_0_314])]),c_0_316]) ).
cnf(c_0_331,hypothesis,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) = sdtasdt0(xr,esk14_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_322,c_0_304]),c_0_309]) ).
cnf(c_0_332,negated_conjecture,
sdtsldt0(xn,xr) = esk18_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_324]),c_0_325])]) ).
cnf(c_0_333,negated_conjecture,
sdtasdt0(sdtsldt0(xn,xr),xm) != sdtasdt0(xp,sdtsldt0(xk,xr)),
i_0_271 ).
cnf(c_0_334,negated_conjecture,
sdtsldt0(xk,xr) = esk12_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_327]),c_0_328])]) ).
cnf(c_0_335,plain,
( X1 = esk14_0
| sdtasdt0(X1,xr) != sdtasdt0(xr,esk14_0)
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_330]),c_0_314]),c_0_321])]),c_0_316]) ).
cnf(c_0_336,hypothesis,
sdtasdt0(sdtasdt0(esk18_0,xm),xr) = sdtasdt0(xr,esk14_0),
inference(rw,[status(thm)],[c_0_331,c_0_332]) ).
cnf(c_0_337,hypothesis,
aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr)),
i_0_267 ).
cnf(c_0_338,negated_conjecture,
sdtasdt0(sdtsldt0(xn,xr),xm) != sdtasdt0(xp,esk12_0),
inference(rw,[status(thm)],[c_0_333,c_0_334]) ).
cnf(c_0_339,hypothesis,
( sdtasdt0(esk18_0,xm) = esk14_0
| ~ aNaturalNumber0(sdtasdt0(esk18_0,xm)) ),
inference(spm,[status(thm)],[c_0_335,c_0_336]) ).
cnf(c_0_340,hypothesis,
aNaturalNumber0(xm),
i_0_72 ).
cnf(c_0_341,hypothesis,
aNaturalNumber0(sdtsldt0(sdtasdt0(xr,esk14_0),xr)),
inference(rw,[status(thm)],[c_0_337,c_0_309]) ).
cnf(c_0_342,plain,
( X1 = sz00
| sdtsldt0(sdtasdt0(X2,X3),X1) = sdtasdt0(X2,sdtsldt0(X3,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X3) ),
i_0_60 ).
cnf(c_0_343,hypothesis,
aNaturalNumber0(xk),
i_0_222 ).
cnf(c_0_344,hypothesis,
aNaturalNumber0(xp),
i_0_71 ).
cnf(c_0_345,negated_conjecture,
sdtasdt0(esk18_0,xm) != sdtasdt0(xp,esk12_0),
inference(rw,[status(thm)],[c_0_338,c_0_332]) ).
cnf(c_0_346,plain,
sdtasdt0(esk18_0,xm) = esk14_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_307]),c_0_340]),c_0_315])]) ).
cnf(c_0_347,hypothesis,
sdtsldt0(sdtasdt0(xr,esk14_0),xr) = esk14_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_319]),c_0_341])]) ).
cnf(c_0_348,hypothesis,
( sdtsldt0(sdtasdt0(xr,esk14_0),X1) = sdtasdt0(xp,sdtsldt0(xk,X1))
| X1 = sz00
| ~ doDivides0(X1,xk)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_309]),c_0_343]),c_0_344])]) ).
cnf(c_0_349,hypothesis,
doDivides0(xr,xk),
i_0_232 ).
cnf(c_0_350,negated_conjecture,
sdtasdt0(xp,esk12_0) != esk14_0,
inference(rw,[status(thm)],[c_0_345,c_0_346]) ).
cnf(c_0_351,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_347,c_0_348]),c_0_334]),c_0_349]),c_0_314])]),c_0_350]),c_0_316]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM513+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n021.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 : Wed Jul 6 20:48:36 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 10.15/2.62 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.15/2.62 # No SInE strategy applied
% 10.15/2.62 # Trying AutoSched0 for 150 seconds
% 10.15/2.62 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 10.15/2.62 # and selection function SelectMaxLComplexAvoidPosPred.
% 10.15/2.62 #
% 10.15/2.62 # Preprocessing time : 0.025 s
% 10.15/2.62
% 10.15/2.62 # Proof found!
% 10.15/2.62 # SZS status Theorem
% 10.15/2.62 # SZS output start CNFRefutation
% See solution above
% 10.15/2.62 # Training examples: 0 positive, 0 negative
% 10.15/2.62
% 10.15/2.62 # -------------------------------------------------
% 10.15/2.62 # User time : 0.316 s
% 10.15/2.62 # System time : 0.017 s
% 10.15/2.62 # Total time : 0.334 s
% 10.15/2.62 # Maximum resident set size: 7120 pages
% 10.15/2.62
%------------------------------------------------------------------------------