TSTP Solution File: NUM507+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM507+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n004.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 08:36:46 EDT 2022
% Result : Theorem 20.53s 4.09s
% Output : CNFRefutation 20.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 32
% Syntax : Number of clauses : 101 ( 43 unt; 29 nHn; 101 RR)
% Number of literals : 271 ( 92 equ; 148 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 86 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_26,plain,
( sdtlseqdt0(X1,X2)
| sdtpldt0(X1,X3) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gr2ev72b/lgb.p',i_0_26) ).
cnf(i_0_5,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gr2ev72b/lgb.p',i_0_5) ).
cnf(i_0_245,negated_conjecture,
( sdtpldt0(sdtpldt0(xn,xm),xr) = sdtpldt0(sdtpldt0(xn,xm),xp)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gr2ev72b/lgb.p',i_0_245) ).
cnf(i_0_39,plain,
( X1 = X2
| sdtlseqdt0(sdtpldt0(X3,X1),sdtpldt0(X3,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gr2ev72b/lgb.p',i_0_39) ).
cnf(i_0_71,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gr2ev72b/lgb.p',i_0_71) ).
cnf(i_0_235,hypothesis,
aNaturalNumber0(xr),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gr2ev72b/lgb.p',i_0_235) ).
cnf(i_0_59,plain,
( X1 = sz00
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gr2ev72b/lgb.p',i_0_59) ).
cnf(i_0_232,hypothesis,
doDivides0(xr,xk),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gr2ev72b/lgb.p',i_0_232) ).
cnf(i_0_222,hypothesis,
aNaturalNumber0(xk),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gr2ev72b/lgb.p',i_0_222) ).
cnf(i_0_226,hypothesis,
sz00 != xk,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gr2ev72b/lgb.p',i_0_226) ).
cnf(i_0_29,plain,
( X1 = sdtmndt0(X2,X3)
| sdtpldt0(X3,X1) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gr2ev72b/lgb.p',i_0_29) ).
cnf(i_0_8,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gr2ev72b/lgb.p',i_0_8) ).
cnf(i_0_72,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gr2ev72b/lgb.p',i_0_72) ).
cnf(i_0_73,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gr2ev72b/lgb.p',i_0_73) ).
cnf(i_0_33,plain,
( X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gr2ev72b/lgb.p',i_0_33) ).
cnf(i_0_241,hypothesis,
sdtlseqdt0(xk,xp),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gr2ev72b/lgb.p',i_0_241) ).
cnf(i_0_244,hypothesis,
xk != xp,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gr2ev72b/lgb.p',i_0_244) ).
cnf(i_0_34,plain,
( sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gr2ev72b/lgb.p',i_0_34) ).
cnf(i_0_7,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gr2ev72b/lgb.p',i_0_7) ).
cnf(i_0_35,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gr2ev72b/lgb.p',i_0_35) ).
cnf(i_0_30,plain,
( sdtpldt0(X1,X2) = X3
| X2 != sdtmndt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gr2ev72b/lgb.p',i_0_30) ).
cnf(i_0_213,hypothesis,
sdtpldt0(xm,esk11_0) = xp,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gr2ev72b/lgb.p',i_0_213) ).
cnf(i_0_214,hypothesis,
aNaturalNumber0(esk11_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gr2ev72b/lgb.p',i_0_214) ).
cnf(i_0_20,plain,
( X1 = X2
| sdtpldt0(X3,X1) != sdtpldt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gr2ev72b/lgb.p',i_0_20) ).
cnf(i_0_228,hypothesis,
( X1 = sz10
| X1 = xr
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xr) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gr2ev72b/lgb.p',i_0_228) ).
cnf(i_0_69,plain,
( X1 = sz00
| X1 = sz10
| doDivides0(esk4_1(X1),X1)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gr2ev72b/lgb.p',i_0_69) ).
cnf(i_0_230,hypothesis,
xr != sz10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gr2ev72b/lgb.p',i_0_230) ).
cnf(i_0_231,hypothesis,
sz00 != xr,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gr2ev72b/lgb.p',i_0_231) ).
cnf(i_0_70,plain,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk4_1(X1))
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gr2ev72b/lgb.p',i_0_70) ).
cnf(i_0_66,plain,
( X1 != sz10
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gr2ev72b/lgb.p',i_0_66) ).
cnf(i_0_4,plain,
aNaturalNumber0(sz10),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gr2ev72b/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-gr2ev72b/lgb.p',i_0_68) ).
cnf(c_0_278,plain,
( sdtlseqdt0(X1,X2)
| sdtpldt0(X1,X3) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_26 ).
cnf(c_0_279,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_5 ).
cnf(c_0_280,negated_conjecture,
( sdtpldt0(sdtpldt0(xn,xm),xr) = sdtpldt0(sdtpldt0(xn,xm),xp)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
i_0_245 ).
cnf(c_0_281,plain,
( X1 = X2
| sdtlseqdt0(sdtpldt0(X3,X1),sdtpldt0(X3,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2) ),
i_0_39 ).
cnf(c_0_282,hypothesis,
aNaturalNumber0(xp),
i_0_71 ).
cnf(c_0_283,hypothesis,
aNaturalNumber0(xr),
i_0_235 ).
cnf(c_0_284,plain,
( X1 = sz00
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
i_0_59 ).
cnf(c_0_285,hypothesis,
doDivides0(xr,xk),
i_0_232 ).
cnf(c_0_286,hypothesis,
aNaturalNumber0(xk),
i_0_222 ).
cnf(c_0_287,hypothesis,
sz00 != xk,
i_0_226 ).
cnf(c_0_288,plain,
( X1 = sdtmndt0(X2,X3)
| sdtpldt0(X3,X1) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X3,X2) ),
i_0_29 ).
cnf(c_0_289,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_278]),c_0_279]) ).
cnf(c_0_290,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_8 ).
cnf(c_0_291,negated_conjecture,
( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xr)
| xp = xr
| ~ sdtlseqdt0(xr,xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_281]),c_0_282]),c_0_283])]) ).
cnf(c_0_292,hypothesis,
aNaturalNumber0(xm),
i_0_72 ).
cnf(c_0_293,hypothesis,
aNaturalNumber0(xn),
i_0_73 ).
cnf(c_0_294,plain,
( X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_33 ).
cnf(c_0_295,hypothesis,
sdtlseqdt0(xk,xp),
i_0_241 ).
cnf(c_0_296,hypothesis,
xk != xp,
i_0_244 ).
cnf(c_0_297,plain,
( sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3) ),
i_0_34 ).
cnf(c_0_298,hypothesis,
sdtlseqdt0(xr,xk),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_285]),c_0_283]),c_0_286])]),c_0_287]) ).
cnf(c_0_299,plain,
( sdtmndt0(sdtpldt0(X1,X2),X1) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_288]),c_0_279]),c_0_289]) ).
cnf(c_0_300,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_7 ).
cnf(c_0_301,plain,
( sdtpldt0(sdtpldt0(xn,xm),xr) = sdtpldt0(xn,sdtpldt0(xm,xp))
| xp = xr
| ~ sdtlseqdt0(xr,xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_291]),c_0_282]),c_0_292]),c_0_293])]) ).
cnf(c_0_302,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_35 ).
cnf(c_0_303,hypothesis,
~ sdtlseqdt0(xp,xk),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_295]),c_0_286]),c_0_282])]),c_0_296]) ).
cnf(c_0_304,plain,
( sdtlseqdt0(X1,xk)
| ~ sdtlseqdt0(X1,xr)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_298]),c_0_283]),c_0_286])]) ).
cnf(c_0_305,plain,
( sdtpldt0(X1,X2) = X3
| X2 != sdtmndt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X3) ),
i_0_30 ).
cnf(c_0_306,plain,
( sdtmndt0(sdtpldt0(X1,X2),X2) = X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_299,c_0_300]) ).
cnf(c_0_307,hypothesis,
sdtpldt0(xm,esk11_0) = xp,
i_0_213 ).
cnf(c_0_308,hypothesis,
aNaturalNumber0(esk11_0),
i_0_214 ).
cnf(c_0_309,plain,
( sdtlseqdt0(X1,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_289,c_0_300]) ).
cnf(c_0_310,plain,
( sdtpldt0(xn,sdtpldt0(xm,xp)) = sdtpldt0(xr,sdtpldt0(xn,xm))
| xp = xr
| ~ sdtlseqdt0(xr,xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_301]),c_0_283])]) ).
cnf(c_0_311,plain,
( sdtpldt0(xn,sdtpldt0(xm,xp)) = sdtpldt0(xn,sdtpldt0(xm,xr))
| xp = xr
| ~ sdtlseqdt0(xr,xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_301]),c_0_283]),c_0_292]),c_0_293])]) ).
cnf(c_0_312,hypothesis,
( sdtlseqdt0(xp,X1)
| sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_302,c_0_282]) ).
cnf(c_0_313,hypothesis,
~ sdtlseqdt0(xp,xr),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_304]),c_0_282])]) ).
cnf(c_0_314,plain,
( sdtpldt0(X1,sdtmndt0(X2,X1)) = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_305]) ).
cnf(c_0_315,hypothesis,
sdtmndt0(xp,esk11_0) = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_307]),c_0_308]),c_0_292])]) ).
cnf(c_0_316,hypothesis,
sdtlseqdt0(esk11_0,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_307]),c_0_292]),c_0_308])]) ).
cnf(c_0_317,plain,
( sdtpldt0(xn,sdtpldt0(xm,xr)) = sdtpldt0(xr,sdtpldt0(xn,xm))
| xp = xr
| ~ sdtlseqdt0(xr,xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(spm,[status(thm)],[c_0_310,c_0_311]) ).
cnf(c_0_318,hypothesis,
sdtlseqdt0(xr,xp),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_283]),c_0_313]) ).
cnf(c_0_319,hypothesis,
( sdtpldt0(xm,sdtpldt0(esk11_0,X1)) = sdtpldt0(xp,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_307]),c_0_308]),c_0_292])]) ).
cnf(c_0_320,plain,
sdtpldt0(esk11_0,xm) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_315]),c_0_316]),c_0_282]),c_0_308])]) ).
cnf(c_0_321,plain,
( X1 = X2
| sdtpldt0(X3,X1) != sdtpldt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_20 ).
cnf(c_0_322,plain,
( sdtpldt0(xn,sdtpldt0(xm,xr)) = sdtpldt0(xr,sdtpldt0(xn,xm))
| xp = xr
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_317,c_0_318])]) ).
cnf(c_0_323,hypothesis,
sdtpldt0(xp,xm) = sdtpldt0(xm,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_320]),c_0_292])]) ).
cnf(c_0_324,plain,
( sdtpldt0(xm,xr) = X1
| xp = xr
| sdtpldt0(xr,sdtpldt0(xn,xm)) != sdtpldt0(xn,X1)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_322]),c_0_293])]) ).
cnf(c_0_325,plain,
( sdtpldt0(xn,sdtpldt0(xm,xp)) = sdtpldt0(xr,sdtpldt0(xn,xm))
| xp = xr
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_310,c_0_318])]) ).
cnf(c_0_326,plain,
aNaturalNumber0(sdtpldt0(xm,xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_323]),c_0_292]),c_0_282])]) ).
cnf(c_0_327,hypothesis,
( X1 = sz10
| X1 = xr
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xr) ),
i_0_228 ).
cnf(c_0_328,plain,
( X1 = sz00
| X1 = sz10
| doDivides0(esk4_1(X1),X1)
| ~ aNaturalNumber0(X1) ),
i_0_69 ).
cnf(c_0_329,hypothesis,
xr != sz10,
i_0_230 ).
cnf(c_0_330,hypothesis,
sz00 != xr,
i_0_231 ).
cnf(c_0_331,plain,
( sdtpldt0(xm,xp) = sdtpldt0(xm,xr)
| xp = xr
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_325]),c_0_326])]) ).
cnf(c_0_332,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_327,c_0_328]),c_0_283])]),c_0_329]),c_0_330]) ).
cnf(c_0_333,plain,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk4_1(X1))
| ~ aNaturalNumber0(X1) ),
i_0_70 ).
cnf(c_0_334,plain,
( X1 != sz10
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X1) ),
i_0_66 ).
cnf(c_0_335,plain,
aNaturalNumber0(sz10),
i_0_4 ).
cnf(c_0_336,plain,
( sdtpldt0(xm,xp) = sdtpldt0(xm,xr)
| xp = xr
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_279]),c_0_292]),c_0_293])]) ).
cnf(c_0_337,plain,
( X1 = sz00
| X1 = sz10
| isPrime0(esk4_1(X1))
| ~ aNaturalNumber0(X1) ),
i_0_68 ).
cnf(c_0_338,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_332,c_0_333]),c_0_283])]),c_0_329]),c_0_330]) ).
cnf(c_0_339,plain,
~ isPrime0(sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_334]),c_0_335])]) ).
cnf(c_0_340,plain,
( sdtpldt0(xm,xp) = sdtpldt0(xm,xr)
| xp = xr ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_279]),c_0_283]),c_0_292])]) ).
cnf(c_0_341,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_337,c_0_338]),c_0_283])]),c_0_329]),c_0_330]),c_0_339]) ).
cnf(c_0_342,plain,
( sdtmndt0(sdtpldt0(xm,xr),xm) = xp
| xp = xr ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_340]),c_0_292]),c_0_282])]) ).
cnf(c_0_343,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_328,c_0_341]),c_0_283])]),c_0_329]),c_0_330]) ).
cnf(c_0_344,plain,
xp = xr,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_342]),c_0_292]),c_0_283])]) ).
cnf(c_0_345,plain,
sdtlseqdt0(xr,xr),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_343]),c_0_283])]),c_0_330]) ).
cnf(c_0_346,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_313,c_0_344]),c_0_345])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM507+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.33 % Computer : n004.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.20/0.33 % WCLimit : 600
% 0.20/0.33 % DateTime : Wed Jul 6 19:49:54 EDT 2022
% 0.20/0.33 % CPUTime :
% 0.20/0.44 # ENIGMATIC: Selected complete mode:
% 20.53/4.09 # ENIGMATIC: Solved by autoschedule-lgb:
% 20.53/4.09 # No SInE strategy applied
% 20.53/4.09 # Trying AutoSched0 for 150 seconds
% 20.53/4.09 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 20.53/4.09 # and selection function SelectMaxLComplexAvoidPosPred.
% 20.53/4.09 #
% 20.53/4.09 # Preprocessing time : 0.024 s
% 20.53/4.09
% 20.53/4.09 # Proof found!
% 20.53/4.09 # SZS status Theorem
% 20.53/4.09 # SZS output start CNFRefutation
% See solution above
% 20.53/4.09 # Training examples: 0 positive, 0 negative
% 20.53/4.09
% 20.53/4.09 # -------------------------------------------------
% 20.53/4.09 # User time : 1.532 s
% 20.53/4.09 # System time : 0.048 s
% 20.53/4.09 # Total time : 1.580 s
% 20.53/4.09 # Maximum resident set size: 7124 pages
% 20.53/4.09
%------------------------------------------------------------------------------