TSTP Solution File: NUM511+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM511+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n010.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 26.27s 4.55s
% Output : CNFRefutation 26.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 49
% Syntax : Number of clauses : 193 ( 81 unt; 35 nHn; 193 RR)
% Number of literals : 501 ( 148 equ; 285 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 198 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_51,plain,
( sdtasdt0(X1,esk2_2(X1,X2)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_51) ).
cnf(i_0_91,hypothesis,
doDivides0(xr,sdtasdt0(xn,xm)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_91) ).
cnf(i_0_90,hypothesis,
aNaturalNumber0(xr),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_90) ).
cnf(i_0_52,plain,
( aNaturalNumber0(esk2_2(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_52) ).
cnf(i_0_6,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_6) ).
cnf(i_0_72,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_72) ).
cnf(i_0_73,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_73) ).
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-zthdscku/lgb.p',i_0_50) ).
cnf(i_0_56,plain,
( doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_56) ).
cnf(i_0_96,hypothesis,
doDivides0(xr,xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_96) ).
cnf(i_0_13,plain,
( sdtasdt0(sz10,X1) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_13) ).
cnf(i_0_4,plain,
aNaturalNumber0(sz10),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_4) ).
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-zthdscku/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-zthdscku/lgb.p',i_0_55) ).
cnf(i_0_3,plain,
sz00 != sz10,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_3) ).
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-zthdscku/lgb.p',i_0_25) ).
cnf(i_0_2,plain,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_2) ).
cnf(i_0_11,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_11) ).
cnf(i_0_12,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_12) ).
cnf(i_0_15,plain,
( sdtasdt0(sz00,X1) = sz00
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_15) ).
cnf(i_0_57,plain,
( doDivides0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X3)
| ~ doDivides0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_57) ).
cnf(i_0_14,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_14) ).
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/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_58) ).
cnf(i_0_7,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_7) ).
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-zthdscku/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-zthdscku/lgb.p',i_0_5) ).
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/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_29) ).
cnf(i_0_27,plain,
( sdtpldt0(X1,esk1_2(X1,X2)) = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_27) ).
cnf(i_0_79,hypothesis,
sdtlseqdt0(xm,xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_79) ).
cnf(i_0_71,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_71) ).
cnf(i_0_28,plain,
( aNaturalNumber0(esk1_2(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_28) ).
cnf(i_0_31,plain,
( aNaturalNumber0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_31) ).
cnf(i_0_47,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_47) ).
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-zthdscku/lgb.p',i_0_53) ).
cnf(i_0_20,plain,
( X1 = X2
| sdtpldt0(X3,X1) != sdtpldt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_20) ).
cnf(i_0_10,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_10) ).
cnf(i_0_30,plain,
( sdtpldt0(X1,X2) = X3
| X2 != sdtmndt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_30) ).
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-zthdscku/lgb.p',i_0_34) ).
cnf(i_0_35,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_35) ).
cnf(i_0_80,hypothesis,
xp != xm,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_80) ).
cnf(i_0_78,hypothesis,
~ sdtlseqdt0(xp,xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_78) ).
cnf(i_0_75,hypothesis,
doDivides0(xp,sdtasdt0(xn,xm)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_75) ).
cnf(i_0_83,hypothesis,
sdtsldt0(sdtasdt0(xn,xm),xp) = xk,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_83) ).
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-zthdscku/lgb.p',i_0_60) ).
cnf(i_0_24,plain,
( X1 = sz00
| sdtpldt0(X1,X2) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_24) ).
cnf(i_0_89,hypothesis,
doDivides0(xr,xk),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_89) ).
cnf(i_0_99,negated_conjecture,
~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_99) ).
cnf(i_0_67,plain,
( X1 != sz00
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_67) ).
cnf(i_0_88,hypothesis,
isPrime0(xr),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zthdscku/lgb.p',i_0_88) ).
cnf(c_0_149,plain,
( sdtasdt0(X1,esk2_2(X1,X2)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
i_0_51 ).
cnf(c_0_150,hypothesis,
doDivides0(xr,sdtasdt0(xn,xm)),
i_0_91 ).
cnf(c_0_151,hypothesis,
aNaturalNumber0(xr),
i_0_90 ).
cnf(c_0_152,plain,
( aNaturalNumber0(esk2_2(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2) ),
i_0_52 ).
cnf(c_0_153,hypothesis,
( sdtasdt0(xr,esk2_2(xr,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151])]) ).
cnf(c_0_154,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_6 ).
cnf(c_0_155,hypothesis,
aNaturalNumber0(xm),
i_0_72 ).
cnf(c_0_156,hypothesis,
aNaturalNumber0(xn),
i_0_73 ).
cnf(c_0_157,hypothesis,
( aNaturalNumber0(esk2_2(xr,sdtasdt0(xn,xm)))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_150]),c_0_151])]) ).
cnf(c_0_158,plain,
( doDivides0(X1,X2)
| X2 != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
i_0_50 ).
cnf(c_0_159,plain,
sdtasdt0(xr,esk2_2(xr,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_155]),c_0_156])]) ).
cnf(c_0_160,plain,
aNaturalNumber0(esk2_2(xr,sdtasdt0(xn,xm))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_154]),c_0_155]),c_0_156])]) ).
cnf(c_0_161,plain,
( doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3) ),
i_0_56 ).
cnf(c_0_162,hypothesis,
doDivides0(xr,xn),
i_0_96 ).
cnf(c_0_163,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_158]),c_0_154]) ).
cnf(c_0_164,plain,
( sdtasdt0(sz10,X1) = X1
| ~ aNaturalNumber0(X1) ),
i_0_13 ).
cnf(c_0_165,plain,
aNaturalNumber0(sz10),
i_0_4 ).
cnf(c_0_166,plain,
( X1 = sz00
| X2 = sdtasdt0(X1,X3)
| X3 != sdtsldt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
i_0_54 ).
cnf(c_0_167,plain,
aNaturalNumber0(sdtasdt0(xn,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_159]),c_0_151])]),c_0_160])]) ).
cnf(c_0_168,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_161,c_0_162]),c_0_151]),c_0_156])]) ).
cnf(c_0_169,plain,
( doDivides0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_165])]) ).
cnf(c_0_170,plain,
( X1 = sz00
| aNaturalNumber0(X2)
| X2 != sdtsldt0(X3,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X3) ),
i_0_55 ).
cnf(c_0_171,plain,
( sdtasdt0(X1,sdtsldt0(X2,X1)) = X2
| X1 = sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2) ),
inference(er,[status(thm)],[c_0_166]) ).
cnf(c_0_172,plain,
sz00 != sz10,
i_0_3 ).
cnf(c_0_173,hypothesis,
( doDivides0(X1,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xr) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_150]),c_0_151])]),c_0_167])]) ).
cnf(c_0_174,plain,
doDivides0(sz10,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_165]),c_0_151])]) ).
cnf(c_0_175,plain,
( X1 = sz00
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2) ),
inference(er,[status(thm)],[c_0_170]) ).
cnf(c_0_176,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_25 ).
cnf(c_0_177,plain,
( sdtasdt0(sz10,sdtsldt0(X1,sz10)) = X1
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_169]),c_0_165])]),c_0_172]) ).
cnf(c_0_178,plain,
aNaturalNumber0(sz00),
i_0_2 ).
cnf(c_0_179,plain,
doDivides0(sz10,sdtasdt0(xn,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_169]),c_0_165]),c_0_151])]) ).
cnf(c_0_180,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_171,c_0_174]),c_0_156]),c_0_165])]),c_0_172]) ).
cnf(c_0_181,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_175,c_0_174]),c_0_156]),c_0_165])]),c_0_172]) ).
cnf(c_0_182,plain,
( sdtsldt0(sz00,sz10) = sz00
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_165])]),c_0_172])]),c_0_178])]) ).
cnf(c_0_183,plain,
( aNaturalNumber0(sdtsldt0(X1,sz10))
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_169]),c_0_165])]),c_0_172]) ).
cnf(c_0_184,plain,
sdtasdt0(sz10,sdtsldt0(sdtasdt0(xn,xm),sz10)) = sdtasdt0(xn,xm),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_179]),c_0_167]),c_0_165])]),c_0_172]) ).
cnf(c_0_185,plain,
aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),sz10)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_179]),c_0_167]),c_0_165])]),c_0_172]) ).
cnf(c_0_186,plain,
sdtsldt0(xn,sz10) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_180]),c_0_181])]) ).
cnf(c_0_187,plain,
sdtsldt0(sz00,sz10) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_178])]) ).
cnf(c_0_188,plain,
sdtsldt0(sdtasdt0(xn,xm),sz10) = sdtasdt0(xn,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_184]),c_0_185])]) ).
cnf(c_0_189,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_11 ).
cnf(c_0_190,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_12 ).
cnf(c_0_191,plain,
( sdtasdt0(sz00,X1) = sz00
| ~ aNaturalNumber0(X1) ),
i_0_15 ).
cnf(c_0_192,plain,
sdtasdt0(sz10,xn) = xn,
inference(rw,[status(thm)],[c_0_180,c_0_186]) ).
cnf(c_0_193,plain,
sdtasdt0(sz10,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_187]),c_0_178])]) ).
cnf(c_0_194,plain,
sdtasdt0(sz10,sdtasdt0(xn,xm)) = sdtasdt0(xn,xm),
inference(rw,[status(thm)],[c_0_184,c_0_188]) ).
cnf(c_0_195,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_189,c_0_190]),c_0_154]) ).
cnf(c_0_196,plain,
( sdtasdt0(sz00,sdtasdt0(X1,X2)) = sdtasdt0(sz00,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_178])]) ).
cnf(c_0_197,plain,
sdtasdt0(xn,sz10) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_192]),c_0_156]),c_0_165])]) ).
cnf(c_0_198,plain,
sdtasdt0(sz00,sz10) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_193]),c_0_178]),c_0_165])]) ).
cnf(c_0_199,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_194,c_0_195]),c_0_192]),c_0_155]),c_0_156]),c_0_165])]) ).
cnf(c_0_200,plain,
sdtasdt0(sz00,xn) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_198]),c_0_165]),c_0_156])]) ).
cnf(c_0_201,plain,
sdtasdt0(sz00,sdtasdt0(xn,xm)) = sz00,
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_199]),c_0_156]),c_0_155])]),c_0_200]) ).
cnf(c_0_202,plain,
( doDivides0(X1,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_163,c_0_189]) ).
cnf(c_0_203,plain,
sdtasdt0(sz00,xm) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_201]),c_0_155]),c_0_156])]) ).
cnf(c_0_204,plain,
( doDivides0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X3)
| ~ doDivides0(X1,X2) ),
i_0_57 ).
cnf(c_0_205,plain,
doDivides0(xm,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_178]),c_0_155])]) ).
cnf(c_0_206,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
i_0_14 ).
cnf(c_0_207,plain,
( doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X3)
| ~ doDivides0(X1,sdtpldt0(X3,X2)) ),
i_0_58 ).
cnf(c_0_208,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_7 ).
cnf(c_0_209,plain,
( doDivides0(xm,sdtpldt0(X1,sz00))
| ~ aNaturalNumber0(X1)
| ~ doDivides0(xm,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_178]),c_0_155])]) ).
cnf(c_0_210,plain,
( doDivides0(X1,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_206]),c_0_165])]) ).
cnf(c_0_211,plain,
( sdtlseqdt0(X1,X2)
| sdtpldt0(X1,X3) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_26 ).
cnf(c_0_212,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_5 ).
cnf(c_0_213,plain,
( doDivides0(X1,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,sdtpldt0(X2,X3))
| ~ doDivides0(X1,X3) ),
inference(spm,[status(thm)],[c_0_207,c_0_208]) ).
cnf(c_0_214,plain,
doDivides0(xm,sdtpldt0(xm,sz00)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_155])]) ).
cnf(c_0_215,plain,
( X1 = sdtmndt0(X2,X3)
| sdtpldt0(X3,X1) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X3,X2) ),
i_0_29 ).
cnf(c_0_216,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_211]),c_0_212]) ).
cnf(c_0_217,plain,
( sdtpldt0(X1,esk1_2(X1,X2)) = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_27 ).
cnf(c_0_218,hypothesis,
sdtlseqdt0(xm,xp),
i_0_79 ).
cnf(c_0_219,hypothesis,
aNaturalNumber0(xp),
i_0_71 ).
cnf(c_0_220,plain,
( aNaturalNumber0(esk1_2(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_28 ).
cnf(c_0_221,plain,
doDivides0(xm,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_178]),c_0_155]),c_0_205])]) ).
cnf(c_0_222,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_215]),c_0_212]),c_0_216]) ).
cnf(c_0_223,hypothesis,
sdtpldt0(xm,esk1_2(xm,xp)) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_219]),c_0_155])]) ).
cnf(c_0_224,hypothesis,
aNaturalNumber0(esk1_2(xm,xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_218]),c_0_219]),c_0_155])]) ).
cnf(c_0_225,plain,
( aNaturalNumber0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X3,X2) ),
i_0_31 ).
cnf(c_0_226,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_47 ).
cnf(c_0_227,plain,
( sdtasdt0(sz10,sdtasdt0(X1,X2)) = sdtasdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_164]),c_0_165])]) ).
cnf(c_0_228,plain,
sdtasdt0(xm,esk2_2(xm,xm)) = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_221]),c_0_155])]) ).
cnf(c_0_229,plain,
aNaturalNumber0(esk2_2(xm,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_221]),c_0_155])]) ).
cnf(c_0_230,plain,
esk1_2(xm,xp) = sdtmndt0(xp,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_155]),c_0_224])]) ).
cnf(c_0_231,plain,
( aNaturalNumber0(sdtmndt0(X1,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_225]) ).
cnf(c_0_232,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_233,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_226,c_0_189]) ).
cnf(c_0_234,plain,
sdtasdt0(sz10,xm) = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_155])]),c_0_229])]) ).
cnf(c_0_235,plain,
( sdtlseqdt0(X1,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_216,c_0_208]) ).
cnf(c_0_236,hypothesis,
sdtpldt0(xm,sdtmndt0(xp,xm)) = xp,
inference(rw,[status(thm)],[c_0_223,c_0_230]) ).
cnf(c_0_237,hypothesis,
aNaturalNumber0(sdtmndt0(xp,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_218]),c_0_155]),c_0_219])]) ).
cnf(c_0_238,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_232]),c_0_163]),c_0_154]) ).
cnf(c_0_239,plain,
( X1 = X2
| sdtpldt0(X3,X1) != sdtpldt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_20 ).
cnf(c_0_240,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
i_0_10 ).
cnf(c_0_241,plain,
sdtlseqdt0(xm,xm),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_155]),c_0_165])]),c_0_172]) ).
cnf(c_0_242,plain,
( sdtpldt0(X1,X2) = X3
| X2 != sdtmndt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X3) ),
i_0_30 ).
cnf(c_0_243,plain,
( sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3) ),
i_0_34 ).
cnf(c_0_244,hypothesis,
sdtlseqdt0(sdtmndt0(xp,xm),xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_155]),c_0_237])]) ).
cnf(c_0_245,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_238,c_0_164]),c_0_165])]),c_0_172]) ).
cnf(c_0_246,plain,
( sdtsldt0(X1,sz10) = sz00
| sdtlseqdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_177]),c_0_165])]),c_0_183]) ).
cnf(c_0_247,plain,
( X1 = sz00
| sdtpldt0(X2,X1) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_178])]) ).
cnf(c_0_248,plain,
sdtpldt0(xm,esk1_2(xm,xm)) = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_241]),c_0_155])]) ).
cnf(c_0_249,plain,
aNaturalNumber0(esk1_2(xm,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_241]),c_0_155])]) ).
cnf(c_0_250,plain,
( sdtpldt0(X1,sdtmndt0(X2,X1)) = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_242]) ).
cnf(c_0_251,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_35 ).
cnf(c_0_252,plain,
( sdtlseqdt0(X1,xp)
| ~ sdtlseqdt0(X1,sdtmndt0(xp,xm))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_237]),c_0_219])]) ).
cnf(c_0_253,plain,
( sz00 = X1
| sdtlseqdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_245,c_0_246]) ).
cnf(c_0_254,plain,
esk1_2(xm,xm) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_155]),c_0_249])]) ).
cnf(c_0_255,plain,
( sdtpldt0(X1,sdtmndt0(X2,X1)) = X2
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_250,c_0_251]) ).
cnf(c_0_256,plain,
( sdtmndt0(xp,xm) = sz00
| sdtlseqdt0(sz10,xp) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_165]),c_0_237])]) ).
cnf(c_0_257,plain,
sdtpldt0(xm,sz00) = xm,
inference(rw,[status(thm)],[c_0_248,c_0_254]) ).
cnf(c_0_258,hypothesis,
xp != xm,
i_0_80 ).
cnf(c_0_259,hypothesis,
~ sdtlseqdt0(xp,xm),
i_0_78 ).
cnf(c_0_260,hypothesis,
doDivides0(xp,sdtasdt0(xn,xm)),
i_0_75 ).
cnf(c_0_261,hypothesis,
sdtsldt0(sdtasdt0(xn,xm),xp) = xk,
i_0_83 ).
cnf(c_0_262,plain,
sdtlseqdt0(sz10,xp),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_257]),c_0_219]),c_0_155])]),c_0_258]),c_0_259]) ).
cnf(c_0_263,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_264,hypothesis,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| xp = sz00
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_260]),c_0_261]),c_0_219])]) ).
cnf(c_0_265,plain,
( X1 = sz00
| sdtpldt0(X1,X2) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_24 ).
cnf(c_0_266,plain,
sdtpldt0(sz10,esk1_2(sz10,xp)) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_262]),c_0_219]),c_0_165])]) ).
cnf(c_0_267,plain,
aNaturalNumber0(esk1_2(sz10,xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_262]),c_0_219]),c_0_165])]) ).
cnf(c_0_268,hypothesis,
( sdtsldt0(sdtasdt0(X1,xn),xr) = sdtasdt0(X1,sdtsldt0(xn,xr))
| xr = sz00
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_162]),c_0_156]),c_0_151])]) ).
cnf(c_0_269,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| xp = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_154]),c_0_155]),c_0_156])]) ).
cnf(c_0_270,plain,
xp != sz00,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_266]),c_0_267]),c_0_165])]),c_0_172]) ).
cnf(c_0_271,hypothesis,
doDivides0(xr,xk),
i_0_89 ).
cnf(c_0_272,hypothesis,
( xp = sz00
| aNaturalNumber0(xk) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_260]),c_0_261]),c_0_219])]),c_0_167])]) ).
cnf(c_0_273,negated_conjecture,
~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
i_0_99 ).
cnf(c_0_274,plain,
( sdtsldt0(sdtasdt0(xn,xm),xr) = sdtasdt0(xm,sdtsldt0(xn,xr))
| xr = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_199]),c_0_155])]) ).
cnf(c_0_275,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(sr,[status(thm)],[c_0_269,c_0_270]) ).
cnf(c_0_276,hypothesis,
( sdtsldt0(sdtasdt0(X1,xk),xr) = sdtasdt0(X1,sdtsldt0(xk,xr))
| xr = sz00
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_271]),c_0_151])]) ).
cnf(c_0_277,hypothesis,
aNaturalNumber0(xk),
inference(sr,[status(thm)],[c_0_272,c_0_270]) ).
cnf(c_0_278,negated_conjecture,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ doDivides0(xp,sdtasdt0(xm,sdtsldt0(xn,xr))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_189]),c_0_155])]) ).
cnf(c_0_279,hypothesis,
( xr = sz00
| aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_162]),c_0_156]),c_0_151])]) ).
cnf(c_0_280,plain,
( sdtsldt0(sdtasdt0(xp,xk),xr) = sdtasdt0(xm,sdtsldt0(xn,xr))
| xr = sz00 ),
inference(rw,[status(thm)],[c_0_274,c_0_275]) ).
cnf(c_0_281,hypothesis,
( sdtsldt0(sdtasdt0(X1,xk),xr) = sdtasdt0(X1,sdtsldt0(xk,xr))
| xr = sz00
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_276,c_0_277])]) ).
cnf(c_0_282,hypothesis,
( xr = sz00
| aNaturalNumber0(sdtsldt0(xk,xr))
| ~ aNaturalNumber0(xk) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_271]),c_0_151])]) ).
cnf(c_0_283,negated_conjecture,
( xr = sz00
| ~ doDivides0(xp,sdtasdt0(xm,sdtsldt0(xn,xr))) ),
inference(spm,[status(thm)],[c_0_278,c_0_279]) ).
cnf(c_0_284,plain,
( sdtasdt0(xm,sdtsldt0(xn,xr)) = sdtasdt0(xp,sdtsldt0(xk,xr))
| xr = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_281]),c_0_219])]) ).
cnf(c_0_285,hypothesis,
( xp = sz00
| xr = sz00
| aNaturalNumber0(sdtsldt0(xk,xr)) ),
inference(spm,[status(thm)],[c_0_282,c_0_272]) ).
cnf(c_0_286,negated_conjecture,
( xr = sz00
| ~ doDivides0(xp,sdtasdt0(xp,sdtsldt0(xk,xr))) ),
inference(spm,[status(thm)],[c_0_283,c_0_284]) ).
cnf(c_0_287,hypothesis,
( xr = sz00
| aNaturalNumber0(sdtsldt0(xk,xr)) ),
inference(sr,[status(thm)],[c_0_285,c_0_270]) ).
cnf(c_0_288,plain,
( X1 != sz00
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X1) ),
i_0_67 ).
cnf(c_0_289,hypothesis,
isPrime0(xr),
i_0_88 ).
cnf(c_0_290,plain,
xr = sz00,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_163]),c_0_219])]),c_0_287]) ).
cnf(c_0_291,plain,
~ isPrime0(sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_288]),c_0_178])]) ).
cnf(c_0_292,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_289,c_0_290]),c_0_291]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM511+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.32 % Computer : n010.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Wed Jul 6 11:28:48 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 26.27/4.55 # ENIGMATIC: Solved by autoschedule-lgb:
% 26.27/4.55 # No SInE strategy applied
% 26.27/4.55 # Trying AutoSched0 for 150 seconds
% 26.27/4.55 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 26.27/4.55 # and selection function SelectNewComplexAHP.
% 26.27/4.55 #
% 26.27/4.55 # Preprocessing time : 0.025 s
% 26.27/4.55 # Presaturation interreduction done
% 26.27/4.55
% 26.27/4.55 # Proof found!
% 26.27/4.55 # SZS status Theorem
% 26.27/4.55 # SZS output start CNFRefutation
% See solution above
% 26.27/4.55 # Training examples: 0 positive, 0 negative
% 26.27/4.55
% 26.27/4.55 # -------------------------------------------------
% 26.27/4.55 # User time : 2.313 s
% 26.27/4.55 # System time : 0.072 s
% 26.27/4.55 # Total time : 2.385 s
% 26.27/4.55 # Maximum resident set size: 7128 pages
% 26.27/4.55
%------------------------------------------------------------------------------