TSTP Solution File: NUM510+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM510+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 08:36:48 EDT 2022
% Result : Theorem 9.07s 2.57s
% Output : CNFRefutation 9.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 42
% Syntax : Number of clauses : 126 ( 56 unt; 35 nHn; 126 RR)
% Number of literals : 314 ( 121 equ; 161 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 107 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_228,hypothesis,
( X1 = sz10
| X1 = xr
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xr) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_228) ).
cnf(i_0_69,plain,
( X1 = sz00
| X1 = sz10
| doDivides0(esk4_1(X1),X1)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_69) ).
cnf(i_0_235,hypothesis,
aNaturalNumber0(xr),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_235) ).
cnf(i_0_231,hypothesis,
sz00 != xr,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_231) ).
cnf(i_0_230,hypothesis,
xr != sz10,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_230) ).
cnf(i_0_70,plain,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk4_1(X1))
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_70) ).
cnf(i_0_66,plain,
( X1 != sz10
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_66) ).
cnf(i_0_4,plain,
aNaturalNumber0(sz10),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_4) ).
cnf(i_0_68,plain,
( X1 = sz00
| X1 = sz10
| isPrime0(esk4_1(X1))
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_68) ).
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-w30f1jqv/lgb.p',i_0_54) ).
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-w30f1jqv/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/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/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-w30f1jqv/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/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_53) ).
cnf(i_0_11,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_11) ).
cnf(i_0_22,plain,
( X1 = X2
| X3 = sz00
| sdtasdt0(X3,X1) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_22) ).
cnf(i_0_255,hypothesis,
sdtasdt0(xr,esk18_0) = xn,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_255) ).
cnf(i_0_256,hypothesis,
aNaturalNumber0(esk18_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_256) ).
cnf(i_0_14,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_14) ).
cnf(i_0_257,negated_conjecture,
( sdtsldt0(xn,xr) = xn
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_257) ).
cnf(i_0_59,plain,
( X1 = sz00
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_59) ).
cnf(i_0_73,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_73) ).
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/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_60) ).
cnf(i_0_254,hypothesis,
doDivides0(xr,xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_254) ).
cnf(i_0_13,plain,
( sdtasdt0(sz10,X1) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_13) ).
cnf(i_0_26,plain,
( sdtlseqdt0(X1,X2)
| sdtpldt0(X1,X3) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_26) ).
cnf(i_0_5,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_5) ).
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-w30f1jqv/lgb.p',i_0_34) ).
cnf(i_0_9,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_9) ).
cnf(i_0_2,plain,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_2) ).
cnf(i_0_237,hypothesis,
sdtasdt0(xr,esk14_0) = sdtasdt0(xn,xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_237) ).
cnf(i_0_238,hypothesis,
aNaturalNumber0(esk14_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_238) ).
cnf(i_0_25,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_25) ).
cnf(i_0_221,hypothesis,
sdtasdt0(xp,xk) = sdtasdt0(xn,xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_221) ).
cnf(i_0_71,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_71) ).
cnf(i_0_222,hypothesis,
aNaturalNumber0(xk),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_222) ).
cnf(i_0_207,hypothesis,
sz00 != xp,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_207) ).
cnf(i_0_226,hypothesis,
sz00 != xk,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_226) ).
cnf(i_0_33,plain,
( X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_33) ).
cnf(i_0_236,hypothesis,
doDivides0(xr,sdtasdt0(xn,xm)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_236) ).
cnf(i_0_15,plain,
( sdtasdt0(sz00,X1) = sz00
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_15) ).
cnf(i_0_72,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w30f1jqv/lgb.p',i_0_72) ).
cnf(c_0_300,hypothesis,
( X1 = sz10
| X1 = xr
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xr) ),
i_0_228 ).
cnf(c_0_301,plain,
( X1 = sz00
| X1 = sz10
| doDivides0(esk4_1(X1),X1)
| ~ aNaturalNumber0(X1) ),
i_0_69 ).
cnf(c_0_302,hypothesis,
aNaturalNumber0(xr),
i_0_235 ).
cnf(c_0_303,hypothesis,
sz00 != xr,
i_0_231 ).
cnf(c_0_304,hypothesis,
xr != sz10,
i_0_230 ).
cnf(c_0_305,hypothesis,
( esk4_1(xr) = xr
| esk4_1(xr) = sz10
| ~ aNaturalNumber0(esk4_1(xr)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_301]),c_0_302])]),c_0_303]),c_0_304]) ).
cnf(c_0_306,plain,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk4_1(X1))
| ~ aNaturalNumber0(X1) ),
i_0_70 ).
cnf(c_0_307,plain,
( X1 != sz10
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X1) ),
i_0_66 ).
cnf(c_0_308,plain,
aNaturalNumber0(sz10),
i_0_4 ).
cnf(c_0_309,plain,
( X1 = sz00
| X1 = sz10
| isPrime0(esk4_1(X1))
| ~ aNaturalNumber0(X1) ),
i_0_68 ).
cnf(c_0_310,plain,
( esk4_1(xr) = sz10
| esk4_1(xr) = xr ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_306]),c_0_302])]),c_0_303]),c_0_304]) ).
cnf(c_0_311,plain,
~ isPrime0(sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_307]),c_0_308])]) ).
cnf(c_0_312,plain,
( X1 = sz00
| X2 = sdtasdt0(X1,X3)
| X3 != sdtsldt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
i_0_54 ).
cnf(c_0_313,plain,
esk4_1(xr) = xr,
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_309,c_0_310]),c_0_302])]),c_0_303]),c_0_304]),c_0_311]) ).
cnf(c_0_314,plain,
( X1 = sz00
| aNaturalNumber0(X2)
| X2 != sdtsldt0(X3,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X3) ),
i_0_55 ).
cnf(c_0_315,plain,
( doDivides0(X1,X2)
| X2 != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
i_0_50 ).
cnf(c_0_316,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_6 ).
cnf(c_0_317,plain,
( sdtasdt0(X1,sdtsldt0(X2,X1)) = X2
| X1 = sz00
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_312]) ).
cnf(c_0_318,plain,
doDivides0(xr,xr),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_313]),c_0_302])]),c_0_303]),c_0_304]) ).
cnf(c_0_319,plain,
( X1 = sz00
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_314]) ).
cnf(c_0_320,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_321,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_315]),c_0_316]) ).
cnf(c_0_322,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_11 ).
cnf(c_0_323,plain,
( X1 = X2
| X3 = sz00
| sdtasdt0(X3,X1) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_22 ).
cnf(c_0_324,plain,
sdtasdt0(xr,sdtsldt0(xr,xr)) = xr,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_318]),c_0_302])]),c_0_303]) ).
cnf(c_0_325,plain,
aNaturalNumber0(sdtsldt0(xr,xr)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_318]),c_0_302])]),c_0_303]) ).
cnf(c_0_326,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_320]),c_0_316]),c_0_321]) ).
cnf(c_0_327,hypothesis,
sdtasdt0(xr,esk18_0) = xn,
i_0_255 ).
cnf(c_0_328,hypothesis,
aNaturalNumber0(esk18_0),
i_0_256 ).
cnf(c_0_329,plain,
( doDivides0(X1,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_322]) ).
cnf(c_0_330,plain,
( sdtsldt0(xr,xr) = X1
| sdtasdt0(xr,X1) != xr
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_324]),c_0_302]),c_0_325])]),c_0_303]) ).
cnf(c_0_331,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
i_0_14 ).
cnf(c_0_332,negated_conjecture,
( sdtsldt0(xn,xr) = xn
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
i_0_257 ).
cnf(c_0_333,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_326,c_0_327]),c_0_328]),c_0_302])]),c_0_303]) ).
cnf(c_0_334,plain,
( X1 = sz00
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
i_0_59 ).
cnf(c_0_335,hypothesis,
doDivides0(esk18_0,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_327]),c_0_302]),c_0_328])]) ).
cnf(c_0_336,hypothesis,
aNaturalNumber0(xn),
i_0_73 ).
cnf(c_0_337,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_338,hypothesis,
doDivides0(xr,xn),
i_0_254 ).
cnf(c_0_339,plain,
sdtsldt0(xr,xr) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_331]),c_0_308]),c_0_302])]) ).
cnf(c_0_340,negated_conjecture,
( esk18_0 = xn
| ~ sdtlseqdt0(esk18_0,xn) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_332,c_0_333]),c_0_333]) ).
cnf(c_0_341,plain,
( sz00 = xn
| sdtlseqdt0(esk18_0,xn) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_335]),c_0_328]),c_0_336])]) ).
cnf(c_0_342,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_337,c_0_338]),c_0_336]),c_0_302])]),c_0_303]),c_0_333]) ).
cnf(c_0_343,plain,
( sdtasdt0(sz10,X1) = X1
| ~ aNaturalNumber0(X1) ),
i_0_13 ).
cnf(c_0_344,plain,
sdtasdt0(xr,sz10) = xr,
inference(rw,[status(thm)],[c_0_324,c_0_339]) ).
cnf(c_0_345,negated_conjecture,
( sz00 = xn
| esk18_0 = xn ),
inference(spm,[status(thm)],[c_0_340,c_0_341]) ).
cnf(c_0_346,plain,
sdtasdt0(sz10,esk18_0) = esk18_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_343]),c_0_333]),c_0_308]),c_0_336])]) ).
cnf(c_0_347,plain,
doDivides0(sz10,xr),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_344]),c_0_302]),c_0_308])]) ).
cnf(c_0_348,plain,
( sdtlseqdt0(X1,X2)
| sdtpldt0(X1,X3) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_26 ).
cnf(c_0_349,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_5 ).
cnf(c_0_350,hypothesis,
( sdtasdt0(xr,xn) = xn
| sz00 = xn ),
inference(spm,[status(thm)],[c_0_327,c_0_345]) ).
cnf(c_0_351,plain,
( sdtasdt0(sz10,xn) = xn
| sz00 = xn ),
inference(spm,[status(thm)],[c_0_346,c_0_345]) ).
cnf(c_0_352,plain,
( sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3) ),
i_0_34 ).
cnf(c_0_353,plain,
sdtlseqdt0(sz10,xr),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_347]),c_0_308]),c_0_302])]),c_0_303]) ).
cnf(c_0_354,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_348]),c_0_349]) ).
cnf(c_0_355,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aNaturalNumber0(X1) ),
i_0_9 ).
cnf(c_0_356,plain,
aNaturalNumber0(sz00),
i_0_2 ).
cnf(c_0_357,plain,
( sdtasdt0(xn,xr) = xn
| sz00 = xn ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_350]),c_0_336]),c_0_302])]) ).
cnf(c_0_358,plain,
( sdtasdt0(xn,sz10) = xn
| sz00 = xn ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_351]),c_0_336]),c_0_308])]) ).
cnf(c_0_359,plain,
( sdtlseqdt0(X1,xr)
| ~ sdtlseqdt0(X1,sz10)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_353]),c_0_308]),c_0_302])]) ).
cnf(c_0_360,plain,
( sdtlseqdt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_355]),c_0_356])]) ).
cnf(c_0_361,hypothesis,
sdtasdt0(xr,esk14_0) = sdtasdt0(xn,xm),
i_0_237 ).
cnf(c_0_362,hypothesis,
aNaturalNumber0(esk14_0),
i_0_238 ).
cnf(c_0_363,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_25 ).
cnf(c_0_364,hypothesis,
sdtasdt0(xp,xk) = sdtasdt0(xn,xm),
i_0_221 ).
cnf(c_0_365,hypothesis,
aNaturalNumber0(xp),
i_0_71 ).
cnf(c_0_366,hypothesis,
aNaturalNumber0(xk),
i_0_222 ).
cnf(c_0_367,hypothesis,
sz00 != xp,
i_0_207 ).
cnf(c_0_368,hypothesis,
sz00 != xk,
i_0_226 ).
cnf(c_0_369,plain,
( sdtsldt0(xn,xn) = xr
| sz00 = xn ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_357]),c_0_302]),c_0_336])]) ).
cnf(c_0_370,plain,
( sdtsldt0(xn,xn) = sz10
| sz00 = xn ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_358]),c_0_308]),c_0_336])]) ).
cnf(c_0_371,plain,
( X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_33 ).
cnf(c_0_372,plain,
sdtlseqdt0(sz00,xr),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_360]),c_0_356]),c_0_308])]) ).
cnf(c_0_373,hypothesis,
doDivides0(xr,sdtasdt0(xn,xm)),
i_0_236 ).
cnf(c_0_374,hypothesis,
aNaturalNumber0(sdtasdt0(xn,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_361]),c_0_362]),c_0_302])]) ).
cnf(c_0_375,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_363,c_0_364]),c_0_365]),c_0_366])]),c_0_367]),c_0_368]) ).
cnf(c_0_376,plain,
( sdtasdt0(sz00,X1) = sz00
| ~ aNaturalNumber0(X1) ),
i_0_15 ).
cnf(c_0_377,plain,
sz00 = xn,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_370]),c_0_304]) ).
cnf(c_0_378,plain,
~ sdtlseqdt0(xr,sz00),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_372]),c_0_356]),c_0_302])]),c_0_303]) ).
cnf(c_0_379,hypothesis,
sdtlseqdt0(xr,sdtasdt0(xn,xm)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_373]),c_0_302])]),c_0_374])]),c_0_375]) ).
cnf(c_0_380,plain,
( sdtasdt0(xn,X1) = xn
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_376,c_0_377]),c_0_377]) ).
cnf(c_0_381,hypothesis,
aNaturalNumber0(xm),
i_0_72 ).
cnf(c_0_382,plain,
~ sdtlseqdt0(xr,xn),
inference(rw,[status(thm)],[c_0_378,c_0_377]) ).
cnf(c_0_383,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_380]),c_0_381])]),c_0_382]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM510+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jul 6 23:45:45 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.22/0.46 # ENIGMATIC: Selected complete mode:
% 9.07/2.57 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.07/2.57 # No SInE strategy applied
% 9.07/2.57 # Trying AutoSched0 for 150 seconds
% 9.07/2.57 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 9.07/2.57 # and selection function SelectNewComplexAHP.
% 9.07/2.57 #
% 9.07/2.57 # Preprocessing time : 0.027 s
% 9.07/2.57 # Presaturation interreduction done
% 9.07/2.57
% 9.07/2.57 # Proof found!
% 9.07/2.57 # SZS status Theorem
% 9.07/2.57 # SZS output start CNFRefutation
% See solution above
% 9.07/2.57 # Training examples: 0 positive, 0 negative
% 9.07/2.57
% 9.07/2.57 # -------------------------------------------------
% 9.07/2.57 # User time : 0.080 s
% 9.07/2.57 # System time : 0.012 s
% 9.07/2.57 # Total time : 0.092 s
% 9.07/2.57 # Maximum resident set size: 7124 pages
% 9.07/2.57
%------------------------------------------------------------------------------