TSTP Solution File: NUM511+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM511+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 08:36:48 EDT 2022
% Result : Theorem 11.32s 2.74s
% Output : CNFRefutation 11.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 41
% Syntax : Number of clauses : 141 ( 80 unt; 35 nHn; 141 RR)
% Number of literals : 311 ( 129 equ; 145 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 96 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_204,hypothesis,
( X1 = sz10
| X1 = xp
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xp) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_204) ).
cnf(i_0_69,plain,
( X1 = sz00
| X1 = sz10
| doDivides0(esk4_1(X1),X1)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_69) ).
cnf(i_0_71,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_71) ).
cnf(i_0_207,hypothesis,
sz00 != xp,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_207) ).
cnf(i_0_206,hypothesis,
xp != sz10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_206) ).
cnf(i_0_70,plain,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk4_1(X1))
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_70) ).
cnf(i_0_66,plain,
( X1 != sz10
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_66) ).
cnf(i_0_4,plain,
aNaturalNumber0(sz10),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_4) ).
cnf(i_0_68,plain,
( X1 = sz00
| X1 = sz10
| isPrime0(esk4_1(X1))
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_68) ).
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-eq7rpacp/lgb.p',i_0_55) ).
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-eq7rpacp/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-eq7rpacp/lgb.p',i_0_6) ).
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/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_54) ).
cnf(i_0_11,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_11) ).
cnf(i_0_237,hypothesis,
sdtasdt0(xr,esk14_0) = sdtasdt0(xn,xm),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_237) ).
cnf(i_0_238,hypothesis,
aNaturalNumber0(esk14_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_238) ).
cnf(i_0_235,hypothesis,
aNaturalNumber0(xr),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_235) ).
cnf(i_0_56,plain,
( doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_56) ).
cnf(i_0_200,hypothesis,
doDivides0(xp,sdtasdt0(xn,xm)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_200) ).
cnf(i_0_13,plain,
( sdtasdt0(sz10,X1) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_13) ).
cnf(i_0_205,hypothesis,
( X1 = sz10
| X1 = xp
| sdtasdt0(X1,X2) != xp
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_205) ).
cnf(i_0_3,plain,
sz00 != sz10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_3) ).
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-eq7rpacp/lgb.p',i_0_53) ).
cnf(i_0_254,hypothesis,
doDivides0(xr,xn),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_254) ).
cnf(i_0_73,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_73) ).
cnf(i_0_25,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_25) ).
cnf(i_0_221,hypothesis,
sdtasdt0(xp,xk) = sdtasdt0(xn,xm),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_221) ).
cnf(i_0_222,hypothesis,
aNaturalNumber0(xk),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_222) ).
cnf(i_0_226,hypothesis,
sz00 != xk,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_226) ).
cnf(i_0_14,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_14) ).
cnf(i_0_233,hypothesis,
sdtasdt0(xr,esk12_0) = xk,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_233) ).
cnf(i_0_234,hypothesis,
aNaturalNumber0(esk12_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_234) ).
cnf(i_0_231,hypothesis,
sz00 != xr,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_231) ).
cnf(i_0_255,hypothesis,
sdtasdt0(xr,esk18_0) = xn,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_255) ).
cnf(i_0_256,hypothesis,
aNaturalNumber0(esk18_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_256) ).
cnf(i_0_12,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_12) ).
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-eq7rpacp/lgb.p',i_0_60) ).
cnf(i_0_232,hypothesis,
doDivides0(xr,xk),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_232) ).
cnf(i_0_265,negated_conjecture,
~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_265) ).
cnf(i_0_268,negated_conjecture,
aNaturalNumber0(sdtsldt0(xn,xr)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_268) ).
cnf(i_0_72,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eq7rpacp/lgb.p',i_0_72) ).
cnf(c_0_310,hypothesis,
( X1 = sz10
| X1 = xp
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xp) ),
i_0_204 ).
cnf(c_0_311,plain,
( X1 = sz00
| X1 = sz10
| doDivides0(esk4_1(X1),X1)
| ~ aNaturalNumber0(X1) ),
i_0_69 ).
cnf(c_0_312,hypothesis,
aNaturalNumber0(xp),
i_0_71 ).
cnf(c_0_313,hypothesis,
sz00 != xp,
i_0_207 ).
cnf(c_0_314,hypothesis,
xp != sz10,
i_0_206 ).
cnf(c_0_315,hypothesis,
( esk4_1(xp) = sz10
| esk4_1(xp) = xp
| ~ aNaturalNumber0(esk4_1(xp)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_311]),c_0_312])]),c_0_313]),c_0_314]) ).
cnf(c_0_316,plain,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk4_1(X1))
| ~ aNaturalNumber0(X1) ),
i_0_70 ).
cnf(c_0_317,plain,
( X1 != sz10
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X1) ),
i_0_66 ).
cnf(c_0_318,plain,
aNaturalNumber0(sz10),
i_0_4 ).
cnf(c_0_319,plain,
( X1 = sz00
| X1 = sz10
| isPrime0(esk4_1(X1))
| ~ aNaturalNumber0(X1) ),
i_0_68 ).
cnf(c_0_320,plain,
( esk4_1(xp) = xp
| esk4_1(xp) = sz10 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_316]),c_0_312])]),c_0_313]),c_0_314]) ).
cnf(c_0_321,plain,
~ isPrime0(sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_317]),c_0_318])]) ).
cnf(c_0_322,plain,
( X1 = sz00
| aNaturalNumber0(X2)
| X2 != sdtsldt0(X3,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X3) ),
i_0_55 ).
cnf(c_0_323,plain,
( doDivides0(X1,X2)
| X2 != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
i_0_50 ).
cnf(c_0_324,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_6 ).
cnf(c_0_325,plain,
( X1 = sz00
| X2 = sdtasdt0(X1,X3)
| X3 != sdtsldt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
i_0_54 ).
cnf(c_0_326,plain,
esk4_1(xp) = xp,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_320]),c_0_312])]),c_0_313]),c_0_314]),c_0_321]) ).
cnf(c_0_327,plain,
( X1 = sz00
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2) ),
inference(er,[status(thm)],[c_0_322]) ).
cnf(c_0_328,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_323]),c_0_324]) ).
cnf(c_0_329,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_11 ).
cnf(c_0_330,plain,
( sdtasdt0(X1,sdtsldt0(X2,X1)) = X2
| X1 = sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2) ),
inference(er,[status(thm)],[c_0_325]) ).
cnf(c_0_331,plain,
doDivides0(xp,xp),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_326]),c_0_312])]),c_0_313]),c_0_314]) ).
cnf(c_0_332,plain,
( esk4_1(X1) = sz00
| X1 = sz10
| X1 = sz00
| aNaturalNumber0(sdtsldt0(X1,esk4_1(X1)))
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_311]),c_0_316]) ).
cnf(c_0_333,hypothesis,
sdtasdt0(xr,esk14_0) = sdtasdt0(xn,xm),
i_0_237 ).
cnf(c_0_334,hypothesis,
aNaturalNumber0(esk14_0),
i_0_238 ).
cnf(c_0_335,hypothesis,
aNaturalNumber0(xr),
i_0_235 ).
cnf(c_0_336,plain,
( doDivides0(X1,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_328,c_0_329]) ).
cnf(c_0_337,plain,
sdtasdt0(xp,sdtsldt0(xp,xp)) = xp,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_331]),c_0_312])]),c_0_313]) ).
cnf(c_0_338,plain,
aNaturalNumber0(sdtsldt0(xp,xp)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_326]),c_0_312])]),c_0_313]),c_0_314]) ).
cnf(c_0_339,plain,
( doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3) ),
i_0_56 ).
cnf(c_0_340,hypothesis,
doDivides0(xp,sdtasdt0(xn,xm)),
i_0_200 ).
cnf(c_0_341,hypothesis,
aNaturalNumber0(sdtasdt0(xn,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_333]),c_0_334]),c_0_335])]) ).
cnf(c_0_342,plain,
doDivides0(sdtsldt0(xp,xp),xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_337]),c_0_312]),c_0_338])]) ).
cnf(c_0_343,plain,
( sdtasdt0(sz10,X1) = X1
| ~ aNaturalNumber0(X1) ),
i_0_13 ).
cnf(c_0_344,hypothesis,
( doDivides0(X1,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xp) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_340]),c_0_312])]),c_0_341])]) ).
cnf(c_0_345,plain,
( doDivides0(X1,xp)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,sdtsldt0(xp,xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_342]),c_0_338]),c_0_312])]) ).
cnf(c_0_346,plain,
( doDivides0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_343]),c_0_318])]) ).
cnf(c_0_347,hypothesis,
doDivides0(sdtsldt0(xp,xp),sdtasdt0(xn,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_342]),c_0_338])]) ).
cnf(c_0_348,hypothesis,
( X1 = sz10
| X1 = xp
| sdtasdt0(X1,X2) != xp
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_205 ).
cnf(c_0_349,plain,
doDivides0(sz10,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_346]),c_0_318]),c_0_338])]) ).
cnf(c_0_350,plain,
sz00 != sz10,
i_0_3 ).
cnf(c_0_351,plain,
( sdtasdt0(sdtsldt0(xp,xp),sdtsldt0(sdtasdt0(xn,xm),sdtsldt0(xp,xp))) = sdtasdt0(xn,xm)
| sdtsldt0(xp,xp) = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_347]),c_0_341]),c_0_338])]) ).
cnf(c_0_352,plain,
( sdtsldt0(xp,xp) = sz00
| aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sdtsldt0(xp,xp))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_347]),c_0_341]),c_0_338])]) ).
cnf(c_0_353,hypothesis,
( X1 = sz10
| X1 = xp
| sdtasdt0(X2,X1) != xp
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_348,c_0_329]) ).
cnf(c_0_354,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_355,plain,
sdtasdt0(sz10,sdtsldt0(xp,sz10)) = xp,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_349]),c_0_312]),c_0_318])]),c_0_350]) ).
cnf(c_0_356,plain,
aNaturalNumber0(sdtsldt0(xp,sz10)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_349]),c_0_312]),c_0_318])]),c_0_350]) ).
cnf(c_0_357,hypothesis,
doDivides0(xr,xn),
i_0_254 ).
cnf(c_0_358,hypothesis,
aNaturalNumber0(xn),
i_0_73 ).
cnf(c_0_359,plain,
( sdtsldt0(xp,xp) = sz00
| doDivides0(sdtsldt0(sdtasdt0(xn,xm),sdtsldt0(xp,xp)),sdtasdt0(xn,xm)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_351]),c_0_338])]),c_0_352]) ).
cnf(c_0_360,hypothesis,
( sdtsldt0(xp,xp) = xp
| sdtsldt0(xp,xp) = sz10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_337]),c_0_312]),c_0_338])]) ).
cnf(c_0_361,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_354]),c_0_328]),c_0_324]) ).
cnf(c_0_362,plain,
sdtsldt0(xp,sz10) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_355]),c_0_356])]) ).
cnf(c_0_363,hypothesis,
( doDivides0(X1,xn)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xr) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_357]),c_0_335]),c_0_358])]) ).
cnf(c_0_364,hypothesis,
( sdtsldt0(xp,xp) = xp
| doDivides0(sdtsldt0(sdtasdt0(xn,xm),sz10),sdtasdt0(xn,xm)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_360]),c_0_350]) ).
cnf(c_0_365,plain,
( sdtsldt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_343]),c_0_318])]),c_0_350]) ).
cnf(c_0_366,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_25 ).
cnf(c_0_367,hypothesis,
sdtasdt0(xp,xk) = sdtasdt0(xn,xm),
i_0_221 ).
cnf(c_0_368,hypothesis,
aNaturalNumber0(xk),
i_0_222 ).
cnf(c_0_369,hypothesis,
sz00 != xk,
i_0_226 ).
cnf(c_0_370,plain,
sdtasdt0(sz10,xp) = xp,
inference(rw,[status(thm)],[c_0_355,c_0_362]) ).
cnf(c_0_371,plain,
doDivides0(sz10,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_346]),c_0_318]),c_0_335])]) ).
cnf(c_0_372,plain,
( sdtsldt0(xp,xp) = xp
| doDivides0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_365]),c_0_341])]) ).
cnf(c_0_373,hypothesis,
sdtasdt0(xn,xm) != sz00,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_367]),c_0_312]),c_0_368])]),c_0_313]),c_0_369]) ).
cnf(c_0_374,plain,
sdtasdt0(xp,sz10) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_370]),c_0_312]),c_0_318])]) ).
cnf(c_0_375,plain,
sdtasdt0(sz10,sdtsldt0(xn,sz10)) = xn,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_371]),c_0_358]),c_0_318])]),c_0_350]) ).
cnf(c_0_376,plain,
aNaturalNumber0(sdtsldt0(xn,sz10)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_371]),c_0_358]),c_0_318])]),c_0_350]) ).
cnf(c_0_377,plain,
( sdtasdt0(sdtasdt0(xn,xm),sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) = sdtasdt0(xn,xm)
| sdtsldt0(xp,xp) = xp ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_372]),c_0_341])]),c_0_373]) ).
cnf(c_0_378,plain,
sdtsldt0(xp,xp) = sz10,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_374]),c_0_318]),c_0_312])]),c_0_313]) ).
cnf(c_0_379,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
i_0_14 ).
cnf(c_0_380,plain,
sdtsldt0(xn,sz10) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_375]),c_0_376])]) ).
cnf(c_0_381,hypothesis,
sdtasdt0(xr,esk12_0) = xk,
i_0_233 ).
cnf(c_0_382,hypothesis,
aNaturalNumber0(esk12_0),
i_0_234 ).
cnf(c_0_383,hypothesis,
sz00 != xr,
i_0_231 ).
cnf(c_0_384,hypothesis,
sdtasdt0(xr,esk18_0) = xn,
i_0_255 ).
cnf(c_0_385,hypothesis,
aNaturalNumber0(esk18_0),
i_0_256 ).
cnf(c_0_386,plain,
sdtasdt0(sdtasdt0(xn,xm),sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) = sdtasdt0(xn,xm),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_377,c_0_378]),c_0_314]) ).
cnf(c_0_387,plain,
( sdtsldt0(X1,X1) = sz10
| X1 = sz00
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_379]),c_0_318])]) ).
cnf(c_0_388,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_12 ).
cnf(c_0_389,plain,
sdtasdt0(sz10,xn) = xn,
inference(rw,[status(thm)],[c_0_375,c_0_380]) ).
cnf(c_0_390,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_391,hypothesis,
doDivides0(xr,xk),
i_0_232 ).
cnf(c_0_392,hypothesis,
sdtsldt0(xk,xr) = esk12_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_381]),c_0_382]),c_0_335])]),c_0_383]) ).
cnf(c_0_393,negated_conjecture,
~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
i_0_265 ).
cnf(c_0_394,negated_conjecture,
aNaturalNumber0(sdtsldt0(xn,xr)),
i_0_268 ).
cnf(c_0_395,hypothesis,
aNaturalNumber0(xm),
i_0_72 ).
cnf(c_0_396,hypothesis,
sdtsldt0(xn,xr) = esk18_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_384]),c_0_385]),c_0_335])]),c_0_383]) ).
cnf(c_0_397,plain,
sdtasdt0(sdtasdt0(xn,xm),sz10) = sdtasdt0(xn,xm),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_387]),c_0_341])]),c_0_373]) ).
cnf(c_0_398,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X2,sdtasdt0(X1,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[c_0_388,c_0_329]) ).
cnf(c_0_399,plain,
sdtasdt0(xn,sz10) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_389]),c_0_358]),c_0_318])]) ).
cnf(c_0_400,hypothesis,
( sdtsldt0(sdtasdt0(X1,xk),xr) = sdtasdt0(X1,esk12_0)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_391]),c_0_368]),c_0_335])]),c_0_383]),c_0_392]) ).
cnf(c_0_401,hypothesis,
sdtsldt0(sdtasdt0(xn,xm),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_361,c_0_333]),c_0_334]),c_0_335])]),c_0_383]) ).
cnf(c_0_402,negated_conjecture,
~ doDivides0(xp,sdtasdt0(xm,sdtsldt0(xn,xr))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_329]),c_0_394]),c_0_395])]) ).
cnf(c_0_403,hypothesis,
( sdtsldt0(sdtasdt0(X1,xn),xr) = sdtasdt0(X1,esk18_0)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_357]),c_0_358]),c_0_335])]),c_0_383]),c_0_396]) ).
cnf(c_0_404,plain,
sdtasdt0(xm,xn) = sdtasdt0(xn,xm),
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_397,c_0_398]),c_0_399]),c_0_318]),c_0_358]),c_0_395])]) ).
cnf(c_0_405,hypothesis,
sdtasdt0(xp,esk12_0) = esk14_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_367]),c_0_401]),c_0_312])]) ).
cnf(c_0_406,negated_conjecture,
~ doDivides0(xp,sdtasdt0(xm,esk18_0)),
inference(rw,[status(thm)],[c_0_402,c_0_396]) ).
cnf(c_0_407,plain,
sdtasdt0(xm,esk18_0) = esk14_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_404]),c_0_401]),c_0_395])]) ).
cnf(c_0_408,plain,
doDivides0(xp,esk14_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_405]),c_0_382]),c_0_312])]) ).
cnf(c_0_409,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_406,c_0_407]),c_0_408])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : NUM511+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.10 % Command : enigmatic-eprover.py %s %d 1
% 0.10/0.31 % Computer : n021.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 600
% 0.10/0.31 % DateTime : Tue Jul 5 15:30:19 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.17/0.43 # ENIGMATIC: Selected complete mode:
% 11.32/2.74 # ENIGMATIC: Solved by autoschedule-lgb:
% 11.32/2.74 # No SInE strategy applied
% 11.32/2.74 # Trying AutoSched0 for 150 seconds
% 11.32/2.74 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 11.32/2.74 # and selection function SelectNewComplexAHP.
% 11.32/2.74 #
% 11.32/2.74 # Preprocessing time : 0.025 s
% 11.32/2.74 # Presaturation interreduction done
% 11.32/2.74
% 11.32/2.74 # Proof found!
% 11.32/2.74 # SZS status Theorem
% 11.32/2.74 # SZS output start CNFRefutation
% See solution above
% 11.32/2.74 # Training examples: 0 positive, 0 negative
% 11.32/2.74
% 11.32/2.74 # -------------------------------------------------
% 11.32/2.74 # User time : 0.438 s
% 11.32/2.74 # System time : 0.020 s
% 11.32/2.74 # Total time : 0.459 s
% 11.32/2.74 # Maximum resident set size: 7124 pages
% 11.32/2.74
%------------------------------------------------------------------------------