%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM529+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n015.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 08:37:01 EDT 2022
% Result : Theorem 12.20s 2.96s
% Output : CNFRefutation 12.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 50
% Syntax : Number of clauses : 198 ( 101 unt; 26 nHn; 198 RR)
% Number of literals : 480 ( 170 equ; 271 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 176 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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-u_qmdi4i/lgb.p',i_0_22) ).
cnf(i_0_94,hypothesis,
sdtasdt0(xp,esk7_0) = sdtasdt0(xn,xn),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_94) ).
cnf(i_0_75,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_75) ).
cnf(i_0_95,hypothesis,
aNaturalNumber0(esk7_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_95) ).
cnf(i_0_72,hypothesis,
sz00 != xp,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_72) ).
cnf(i_0_85,hypothesis,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_85) ).
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-u_qmdi4i/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-u_qmdi4i/lgb.p',i_0_6) ).
cnf(i_0_76,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_76) ).
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-u_qmdi4i/lgb.p',i_0_59) ).
cnf(i_0_90,hypothesis,
doDivides0(xp,xn),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_90) ).
cnf(i_0_77,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_77) ).
cnf(i_0_74,hypothesis,
sz00 != xn,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_74) ).
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-u_qmdi4i/lgb.p',i_0_34) ).
cnf(i_0_47,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_47) ).
cnf(i_0_73,hypothesis,
sz00 != xm,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_73) ).
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-u_qmdi4i/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-u_qmdi4i/lgb.p',i_0_5) ).
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-u_qmdi4i/lgb.p',i_0_56) ).
cnf(i_0_13,plain,
( sdtasdt0(sz10,X1) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_13) ).
cnf(i_0_4,plain,
aNaturalNumber0(sz10),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_4) ).
cnf(i_0_45,plain,
( X1 = sz00
| X1 = sz10
| sdtlseqdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_45) ).
cnf(i_0_89,hypothesis,
xp != sz10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_89) ).
cnf(i_0_9,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_9) ).
cnf(i_0_2,plain,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_2) ).
cnf(i_0_51,plain,
( sdtasdt0(X1,esk2_2(X1,X2)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_51) ).
cnf(i_0_52,plain,
( aNaturalNumber0(esk2_2(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_52) ).
cnf(i_0_99,hypothesis,
sdtasdt0(xp,sdtasdt0(xq,xq)) = sdtasdt0(xm,xm),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_99) ).
cnf(i_0_27,plain,
( sdtpldt0(X1,esk1_2(X1,X2)) = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_27) ).
cnf(i_0_28,plain,
( aNaturalNumber0(esk1_2(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_28) ).
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-u_qmdi4i/lgb.p',i_0_25) ).
cnf(i_0_98,hypothesis,
aNaturalNumber0(xq),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_98) ).
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-u_qmdi4i/lgb.p',i_0_21) ).
cnf(i_0_14,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_14) ).
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-u_qmdi4i/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/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_55) ).
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-u_qmdi4i/lgb.p',i_0_53) ).
cnf(i_0_19,plain,
( X1 = X2
| sdtpldt0(X1,X3) != sdtpldt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_19) ).
cnf(i_0_11,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_11) ).
cnf(i_0_3,plain,
sz00 != sz10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_3) ).
cnf(i_0_7,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_7) ).
cnf(i_0_32,plain,
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_32) ).
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-u_qmdi4i/lgb.p',i_0_12) ).
cnf(i_0_58,plain,
( doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X3)
| ~ doDivides0(X1,sdtpldt0(X3,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_58) ).
cnf(i_0_97,hypothesis,
sdtasdt0(xp,xq) = xn,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_97) ).
cnf(i_0_49,plain,
( X1 = X2
| iLess0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_49) ).
cnf(i_0_100,hypothesis,
sdtlseqdt0(xm,xn),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_100) ).
cnf(i_0_103,hypothesis,
xm != xn,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_103) ).
cnf(i_0_78,hypothesis,
( X1 = sz00
| X2 = sz00
| X3 = sz00
| sdtasdt0(X3,sdtasdt0(X1,X1)) != sdtasdt0(X2,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X3)
| ~ iLess0(X2,xn) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_78) ).
cnf(i_0_86,hypothesis,
isPrime0(xp),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u_qmdi4i/lgb.p',i_0_86) ).
cnf(c_0_154,plain,
( X1 = X2
| X3 = sz00
| sdtasdt0(X3,X1) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_22 ).
cnf(c_0_155,hypothesis,
sdtasdt0(xp,esk7_0) = sdtasdt0(xn,xn),
i_0_94 ).
cnf(c_0_156,hypothesis,
aNaturalNumber0(xp),
i_0_75 ).
cnf(c_0_157,hypothesis,
aNaturalNumber0(esk7_0),
i_0_95 ).
cnf(c_0_158,hypothesis,
sz00 != xp,
i_0_72 ).
cnf(c_0_159,hypothesis,
( X1 = esk7_0
| sdtasdt0(xp,X1) != sdtasdt0(xn,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_154,c_0_155]),c_0_156]),c_0_157])]),c_0_158]) ).
cnf(c_0_160,hypothesis,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
i_0_85 ).
cnf(c_0_161,plain,
( doDivides0(X1,X2)
| X2 != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
i_0_50 ).
cnf(c_0_162,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_6 ).
cnf(c_0_163,hypothesis,
( sdtasdt0(xm,xm) = esk7_0
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_164,hypothesis,
aNaturalNumber0(xm),
i_0_76 ).
cnf(c_0_165,plain,
( X1 = sz00
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
i_0_59 ).
cnf(c_0_166,hypothesis,
doDivides0(xp,xn),
i_0_90 ).
cnf(c_0_167,hypothesis,
aNaturalNumber0(xn),
i_0_77 ).
cnf(c_0_168,hypothesis,
sz00 != xn,
i_0_74 ).
cnf(c_0_169,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_161]),c_0_162]) ).
cnf(c_0_170,plain,
sdtasdt0(xm,xm) = esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_162]),c_0_164])]) ).
cnf(c_0_171,plain,
( sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3) ),
i_0_34 ).
cnf(c_0_172,hypothesis,
sdtlseqdt0(xp,xn),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_156]),c_0_167])]),c_0_168]) ).
cnf(c_0_173,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_47 ).
cnf(c_0_174,hypothesis,
sz00 != xm,
i_0_73 ).
cnf(c_0_175,plain,
( sdtlseqdt0(X1,X2)
| sdtpldt0(X1,X3) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_26 ).
cnf(c_0_176,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_5 ).
cnf(c_0_177,plain,
( doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3) ),
i_0_56 ).
cnf(c_0_178,plain,
doDivides0(xm,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_164])]) ).
cnf(c_0_179,plain,
( sdtasdt0(sz10,X1) = X1
| ~ aNaturalNumber0(X1) ),
i_0_13 ).
cnf(c_0_180,plain,
aNaturalNumber0(sz10),
i_0_4 ).
cnf(c_0_181,hypothesis,
( sdtlseqdt0(X1,xn)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_156]),c_0_167])]) ).
cnf(c_0_182,plain,
( X1 = sz00
| X1 = sz10
| sdtlseqdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
i_0_45 ).
cnf(c_0_183,hypothesis,
xp != sz10,
i_0_89 ).
cnf(c_0_184,plain,
sdtlseqdt0(xm,esk7_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_170]),c_0_164])]),c_0_174]) ).
cnf(c_0_185,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_175]),c_0_176]) ).
cnf(c_0_186,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aNaturalNumber0(X1) ),
i_0_9 ).
cnf(c_0_187,plain,
aNaturalNumber0(sz00),
i_0_2 ).
cnf(c_0_188,plain,
( doDivides0(X1,esk7_0)
| ~ doDivides0(X1,xm)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_164]),c_0_157])]) ).
cnf(c_0_189,plain,
( doDivides0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_179]),c_0_180])]) ).
cnf(c_0_190,plain,
sdtlseqdt0(sz10,xn),
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_181,c_0_182]),c_0_180]),c_0_156])]),c_0_158]),c_0_183]) ).
cnf(c_0_191,plain,
( sdtlseqdt0(X1,esk7_0)
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_184]),c_0_164]),c_0_157])]) ).
cnf(c_0_192,plain,
( sdtlseqdt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_187])]) ).
cnf(c_0_193,plain,
( sdtasdt0(X1,esk2_2(X1,X2)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
i_0_51 ).
cnf(c_0_194,plain,
doDivides0(sz10,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_180]),c_0_164])]) ).
cnf(c_0_195,plain,
( aNaturalNumber0(esk2_2(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2) ),
i_0_52 ).
cnf(c_0_196,plain,
( sdtlseqdt0(X1,xn)
| ~ sdtlseqdt0(X1,sz10)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_190]),c_0_180]),c_0_167])]) ).
cnf(c_0_197,hypothesis,
sdtasdt0(xp,sdtasdt0(xq,xq)) = sdtasdt0(xm,xm),
i_0_99 ).
cnf(c_0_198,plain,
( sdtpldt0(X1,esk1_2(X1,X2)) = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_27 ).
cnf(c_0_199,plain,
sdtlseqdt0(sz00,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_187]),c_0_164])]) ).
cnf(c_0_200,plain,
( aNaturalNumber0(esk1_2(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_28 ).
cnf(c_0_201,plain,
sdtasdt0(sz10,esk2_2(sz10,esk7_0)) = esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_157]),c_0_180])]) ).
cnf(c_0_202,plain,
aNaturalNumber0(esk2_2(sz10,esk7_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_194]),c_0_157]),c_0_180])]) ).
cnf(c_0_203,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_25 ).
cnf(c_0_204,plain,
sdtlseqdt0(sz00,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_192]),c_0_187]),c_0_180])]) ).
cnf(c_0_205,hypothesis,
sdtasdt0(xp,sdtasdt0(xq,xq)) = esk7_0,
inference(rw,[status(thm)],[c_0_197,c_0_170]) ).
cnf(c_0_206,plain,
sdtpldt0(sz00,esk1_2(sz00,esk7_0)) = esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_157]),c_0_187])]) ).
cnf(c_0_207,plain,
aNaturalNumber0(esk1_2(sz00,esk7_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_199]),c_0_157]),c_0_187])]) ).
cnf(c_0_208,plain,
esk2_2(sz10,esk7_0) = esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_201]),c_0_202])]) ).
cnf(c_0_209,plain,
( X1 = sz00
| sdtasdt0(X1,X1) != sz00
| ~ aNaturalNumber0(X1) ),
inference(ef,[status(thm)],[c_0_203]) ).
cnf(c_0_210,plain,
sdtpldt0(sz00,esk1_2(sz00,xn)) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_204]),c_0_167]),c_0_187])]) ).
cnf(c_0_211,plain,
aNaturalNumber0(esk1_2(sz00,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_204]),c_0_167]),c_0_187])]) ).
cnf(c_0_212,plain,
( doDivides0(xp,esk7_0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_205]),c_0_156])]) ).
cnf(c_0_213,hypothesis,
aNaturalNumber0(xq),
i_0_98 ).
cnf(c_0_214,plain,
esk1_2(sz00,esk7_0) = esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_206]),c_0_207])]) ).
cnf(c_0_215,plain,
( X1 = X2
| X3 = sz00
| sdtasdt0(X1,X3) != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
i_0_21 ).
cnf(c_0_216,plain,
sdtasdt0(sz10,esk7_0) = esk7_0,
inference(rw,[status(thm)],[c_0_201,c_0_208]) ).
cnf(c_0_217,plain,
esk7_0 != sz00,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_170]),c_0_164])]),c_0_174]) ).
cnf(c_0_218,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
i_0_14 ).
cnf(c_0_219,plain,
esk1_2(sz00,xn) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_210]),c_0_211])]) ).
cnf(c_0_220,plain,
( X1 = sz00
| X2 = sdtasdt0(X1,X3)
| X3 != sdtsldt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
i_0_54 ).
cnf(c_0_221,hypothesis,
( doDivides0(X1,xn)
| ~ doDivides0(X1,xp)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_166]),c_0_156]),c_0_167])]) ).
cnf(c_0_222,plain,
( X1 = sz00
| aNaturalNumber0(X2)
| X2 != sdtsldt0(X3,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X3) ),
i_0_55 ).
cnf(c_0_223,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_224,plain,
doDivides0(xp,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_162]),c_0_213])]) ).
cnf(c_0_225,plain,
( X1 = X2
| sdtpldt0(X1,X3) != sdtpldt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
i_0_19 ).
cnf(c_0_226,plain,
sdtpldt0(sz00,esk7_0) = esk7_0,
inference(rw,[status(thm)],[c_0_206,c_0_214]) ).
cnf(c_0_227,plain,
( sz10 = X1
| sdtasdt0(X1,esk7_0) != esk7_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_215,c_0_216]),c_0_157]),c_0_180])]),c_0_217]) ).
cnf(c_0_228,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_11 ).
cnf(c_0_229,plain,
( doDivides0(X1,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_218]),c_0_180])]) ).
cnf(c_0_230,plain,
sdtpldt0(sz00,xn) = xn,
inference(rw,[status(thm)],[c_0_210,c_0_219]) ).
cnf(c_0_231,plain,
( sdtasdt0(X1,sdtsldt0(X2,X1)) = X2
| X1 = sz00
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_220]) ).
cnf(c_0_232,plain,
doDivides0(sz10,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_189]),c_0_180]),c_0_156])]) ).
cnf(c_0_233,plain,
sz00 != sz10,
i_0_3 ).
cnf(c_0_234,plain,
( X1 = sz00
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_222]) ).
cnf(c_0_235,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_223]),c_0_162]),c_0_169]) ).
cnf(c_0_236,plain,
sdtasdt0(xp,esk2_2(xp,esk7_0)) = esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_224]),c_0_157]),c_0_156])]) ).
cnf(c_0_237,plain,
aNaturalNumber0(esk2_2(xp,esk7_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_224]),c_0_157]),c_0_156])]) ).
cnf(c_0_238,plain,
( sz00 = X1
| sdtpldt0(X1,esk7_0) != esk7_0
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_157]),c_0_187])]) ).
cnf(c_0_239,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_7 ).
cnf(c_0_240,plain,
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1) ),
i_0_32 ).
cnf(c_0_241,plain,
( sz10 = X1
| sdtasdt0(esk7_0,X1) != esk7_0
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_157])]) ).
cnf(c_0_242,plain,
( sdtasdt0(X1,esk2_2(X1,X1)) = X1
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_193,c_0_229]) ).
cnf(c_0_243,plain,
( sz00 = X1
| sdtpldt0(X1,xn) != xn
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_230]),c_0_167]),c_0_187])]) ).
cnf(c_0_244,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_231,c_0_232]),c_0_167]),c_0_180])]),c_0_233]) ).
cnf(c_0_245,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_234,c_0_232]),c_0_167]),c_0_180])]),c_0_233]) ).
cnf(c_0_246,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_12 ).
cnf(c_0_247,plain,
esk2_2(xp,esk7_0) = sdtsldt0(esk7_0,xp),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_237]),c_0_156])]),c_0_158]) ).
cnf(c_0_248,plain,
( sz00 = X1
| sdtpldt0(esk7_0,X1) != esk7_0
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_157])]) ).
cnf(c_0_249,plain,
( sdtpldt0(X1,esk1_2(X1,X1)) = X1
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_198,c_0_240]) ).
cnf(c_0_250,plain,
( esk2_2(esk7_0,esk7_0) = sz10
| ~ aNaturalNumber0(esk2_2(esk7_0,esk7_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_157])]) ).
cnf(c_0_251,plain,
( aNaturalNumber0(esk2_2(X1,X1))
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_195,c_0_229]) ).
cnf(c_0_252,plain,
( sz00 = X1
| sdtpldt0(xn,X1) != xn
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_239]),c_0_167])]) ).
cnf(c_0_253,plain,
sdtsldt0(xn,sz10) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_244]),c_0_245])]) ).
cnf(c_0_254,plain,
( sdtasdt0(X1,X2) = sz00
| sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(X1,X2))) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_246]),c_0_162]) ).
cnf(c_0_255,plain,
sdtasdt0(xp,sdtsldt0(esk7_0,xp)) = esk7_0,
inference(rw,[status(thm)],[c_0_236,c_0_247]) ).
cnf(c_0_256,plain,
aNaturalNumber0(sdtsldt0(esk7_0,xp)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_224]),c_0_157]),c_0_156])]),c_0_158]) ).
cnf(c_0_257,plain,
( esk1_2(esk7_0,esk7_0) = sz00
| ~ aNaturalNumber0(esk1_2(esk7_0,esk7_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_157])]) ).
cnf(c_0_258,plain,
( aNaturalNumber0(esk1_2(X1,X1))
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_200,c_0_240]) ).
cnf(c_0_259,plain,
esk2_2(esk7_0,esk7_0) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_157])]) ).
cnf(c_0_260,plain,
( esk1_2(xn,xn) = sz00
| ~ aNaturalNumber0(esk1_2(xn,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_249]),c_0_167])]) ).
cnf(c_0_261,plain,
sdtasdt0(sz10,xn) = xn,
inference(rw,[status(thm)],[c_0_244,c_0_253]) ).
cnf(c_0_262,plain,
sdtasdt0(xp,sdtasdt0(sdtsldt0(esk7_0,xp),esk7_0)) != sz00,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_256]),c_0_156])]),c_0_217]) ).
cnf(c_0_263,plain,
( sdtsldt0(esk7_0,xp) = sdtasdt0(xq,xq)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_205]),c_0_156])]),c_0_158]) ).
cnf(c_0_264,plain,
( doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X3)
| ~ doDivides0(X1,sdtpldt0(X3,X2)) ),
i_0_58 ).
cnf(c_0_265,plain,
esk1_2(esk7_0,esk7_0) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_157])]) ).
cnf(c_0_266,plain,
sdtasdt0(esk7_0,sz10) = esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_259]),c_0_157])]) ).
cnf(c_0_267,plain,
esk1_2(xn,xn) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_258]),c_0_167])]) ).
cnf(c_0_268,plain,
sdtasdt0(xn,sz10) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_261]),c_0_167]),c_0_180])]) ).
cnf(c_0_269,plain,
sdtasdt0(xp,sdtasdt0(esk7_0,sdtsldt0(esk7_0,xp))) != sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_228]),c_0_157]),c_0_256])]) ).
cnf(c_0_270,plain,
sdtsldt0(esk7_0,xp) = sdtasdt0(xq,xq),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_162]),c_0_213])]) ).
cnf(c_0_271,plain,
( doDivides0(sdtpldt0(X1,X2),X2)
| ~ doDivides0(sdtpldt0(X1,X2),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_229]),c_0_176]) ).
cnf(c_0_272,plain,
sdtpldt0(esk7_0,sz00) = esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_265]),c_0_157])]) ).
cnf(c_0_273,plain,
doDivides0(esk7_0,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_266]),c_0_180]),c_0_157])]) ).
cnf(c_0_274,plain,
sdtpldt0(xn,sz00) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_267]),c_0_167])]) ).
cnf(c_0_275,plain,
doDivides0(xn,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_268]),c_0_180]),c_0_167])]) ).
cnf(c_0_276,plain,
sdtasdt0(xp,sdtasdt0(esk7_0,sdtasdt0(xq,xq))) != sz00,
inference(rw,[status(thm)],[c_0_269,c_0_270]) ).
cnf(c_0_277,plain,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(X3,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_246]),c_0_162]) ).
cnf(c_0_278,hypothesis,
sdtasdt0(xp,xq) = xn,
i_0_97 ).
cnf(c_0_279,plain,
( X1 = X2
| iLess0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_49 ).
cnf(c_0_280,hypothesis,
sdtlseqdt0(xm,xn),
i_0_100 ).
cnf(c_0_281,hypothesis,
xm != xn,
i_0_103 ).
cnf(c_0_282,plain,
doDivides0(esk7_0,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_272]),c_0_273]),c_0_157]),c_0_187])]) ).
cnf(c_0_283,plain,
doDivides0(xn,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_274]),c_0_275]),c_0_167]),c_0_187])]) ).
cnf(c_0_284,plain,
sdtasdt0(xp,sdtasdt0(xq,sdtasdt0(esk7_0,xq))) != sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_277]),c_0_213]),c_0_157])]) ).
cnf(c_0_285,hypothesis,
( sdtasdt0(xp,sdtasdt0(xq,X1)) = sdtasdt0(xn,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_278]),c_0_213]),c_0_156])]) ).
cnf(c_0_286,hypothesis,
( X1 = sz00
| X2 = sz00
| X3 = sz00
| sdtasdt0(X3,sdtasdt0(X1,X1)) != sdtasdt0(X2,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X3)
| ~ iLess0(X2,xn) ),
i_0_78 ).
cnf(c_0_287,hypothesis,
iLess0(xm,xn),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280]),c_0_167]),c_0_164])]),c_0_281]) ).
cnf(c_0_288,plain,
sdtasdt0(esk7_0,esk2_2(esk7_0,sz00)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_282]),c_0_187]),c_0_157])]) ).
cnf(c_0_289,plain,
aNaturalNumber0(esk2_2(esk7_0,sz00)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_282]),c_0_187]),c_0_157])]) ).
cnf(c_0_290,plain,
sdtasdt0(xn,esk2_2(xn,sz00)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_283]),c_0_187]),c_0_167])]) ).
cnf(c_0_291,plain,
aNaturalNumber0(esk2_2(xn,sz00)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_283]),c_0_187]),c_0_167])]) ).
cnf(c_0_292,hypothesis,
( sdtasdt0(xn,sdtasdt0(esk7_0,xq)) != sz00
| ~ aNaturalNumber0(sdtasdt0(esk7_0,xq)) ),
inference(spm,[status(thm)],[c_0_284,c_0_285]) ).
cnf(c_0_293,hypothesis,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,sdtasdt0(X1,X1)) != esk7_0
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_287]),c_0_170]),c_0_164])]),c_0_174]) ).
cnf(c_0_294,hypothesis,
isPrime0(xp),
i_0_86 ).
cnf(c_0_295,plain,
esk2_2(esk7_0,sz00) = sz00,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_288]),c_0_157]),c_0_289])]),c_0_217]) ).
cnf(c_0_296,plain,
esk2_2(xn,sz00) = sz00,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_290]),c_0_167]),c_0_291])]),c_0_168]) ).
cnf(c_0_297,plain,
sdtasdt0(xn,sdtasdt0(esk7_0,xq)) != sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_162]),c_0_213]),c_0_157])]) ).
cnf(c_0_298,hypothesis,
xq = sz00,
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_293,c_0_205]),c_0_294]),c_0_156]),c_0_213])]),c_0_158]) ).
cnf(c_0_299,plain,
sdtasdt0(esk7_0,sz00) = sz00,
inference(rw,[status(thm)],[c_0_288,c_0_295]) ).
cnf(c_0_300,plain,
sdtasdt0(xn,sz00) = sz00,
inference(rw,[status(thm)],[c_0_290,c_0_296]) ).
cnf(c_0_301,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_297,c_0_298]),c_0_299]),c_0_300])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM529+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jul 6 14:19:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 12.20/2.96 # ENIGMATIC: Solved by autoschedule-lgb:
% 12.20/2.96 # No SInE strategy applied
% 12.20/2.96 # Trying AutoSched0 for 150 seconds
% 12.20/2.96 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S068N
% 12.20/2.96 # and selection function PSelectNewComplexAHP.
% 12.20/2.96 #
% 12.20/2.96 # Preprocessing time : 0.014 s
% 12.20/2.96 # Presaturation interreduction done
% 12.20/2.96
% 12.20/2.96 # Proof found!
% 12.20/2.96 # SZS status Theorem
% 12.20/2.96 # SZS output start CNFRefutation
% See solution above
% 12.20/2.96 # Training examples: 0 positive, 0 negative
% 12.20/2.96
% 12.20/2.96 # -------------------------------------------------
% 12.20/2.96 # User time : 0.466 s
% 12.20/2.96 # System time : 0.022 s
% 12.20/2.96 # Total time : 0.488 s
% 12.20/2.96 # Maximum resident set size: 7124 pages
% 12.20/2.96
%------------------------------------------------------------------------------