TSTP Solution File: NUM503+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM503+1 : 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 08:36:43 EDT 2022
% Result : Theorem 10.03s 2.65s
% Output : CNFRefutation 10.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 47
% Syntax : Number of clauses : 188 ( 74 unt; 43 nHn; 188 RR)
% Number of literals : 488 ( 167 equ; 262 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 182 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
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-2k1wicmr/input.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-2k1wicmr/input.p',i_0_6) ).
cnf(i_0_54,plain,
( X1 = sz00
| X2 = sdtasdt0(X1,X3)
| X3 != sdtsldt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2k1wicmr/input.p',i_0_54) ).
cnf(i_0_13,plain,
( sdtasdt0(sz10,X1) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2k1wicmr/input.p',i_0_13) ).
cnf(i_0_4,plain,
aNaturalNumber0(sz10),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2k1wicmr/input.p',i_0_4) ).
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-2k1wicmr/input.p',i_0_39) ).
cnf(i_0_79,hypothesis,
sdtlseqdt0(xm,xp),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2k1wicmr/input.p',i_0_79) ).
cnf(i_0_71,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2k1wicmr/input.p',i_0_71) ).
cnf(i_0_72,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2k1wicmr/input.p',i_0_72) ).
cnf(i_0_80,hypothesis,
xp != xm,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2k1wicmr/input.p',i_0_80) ).
cnf(i_0_3,plain,
sz00 != sz10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2k1wicmr/input.p',i_0_3) ).
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-2k1wicmr/input.p',i_0_55) ).
cnf(i_0_9,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2k1wicmr/input.p',i_0_9) ).
cnf(i_0_2,plain,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2k1wicmr/input.p',i_0_2) ).
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-2k1wicmr/input.p',i_0_25) ).
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-2k1wicmr/input.p',i_0_34) ).
cnf(i_0_5,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2k1wicmr/input.p',i_0_5) ).
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-2k1wicmr/input.p',i_0_26) ).
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-2k1wicmr/input.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-2k1wicmr/input.p',i_0_28) ).
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/sandbox2/tmp/enigma-theBenchmark.p-2k1wicmr/input.p',i_0_57) ).
cnf(i_0_7,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2k1wicmr/input.p',i_0_7) ).
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-2k1wicmr/input.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-2k1wicmr/input.p',i_0_52) ).
cnf(i_0_75,hypothesis,
doDivides0(xp,sdtasdt0(xn,xm)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2k1wicmr/input.p',i_0_75) ).
cnf(i_0_83,hypothesis,
sdtsldt0(sdtasdt0(xn,xm),xp) = xk,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2k1wicmr/input.p',i_0_83) ).
cnf(i_0_73,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2k1wicmr/input.p',i_0_73) ).
cnf(i_0_47,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2k1wicmr/input.p',i_0_47) ).
cnf(i_0_11,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2k1wicmr/input.p',i_0_11) ).
cnf(i_0_43,plain,
( X1 = X2
| X3 = sz00
| sdtlseqdt0(sdtasdt0(X3,X1),sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2k1wicmr/input.p',i_0_43) ).
cnf(i_0_81,hypothesis,
sdtlseqdt0(xn,xp),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2k1wicmr/input.p',i_0_81) ).
cnf(i_0_82,hypothesis,
xp != xn,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2k1wicmr/input.p',i_0_82) ).
cnf(i_0_24,plain,
( X1 = sz00
| sdtpldt0(X1,X2) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2k1wicmr/input.p',i_0_24) ).
cnf(i_0_93,hypothesis,
sdtlseqdt0(xp,xk),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2k1wicmr/input.p',i_0_93) ).
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-2k1wicmr/input.p',i_0_19) ).
cnf(i_0_15,plain,
( sdtasdt0(sz00,X1) = sz00
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2k1wicmr/input.p',i_0_15) ).
cnf(i_0_94,negated_conjecture,
( sdtasdt0(xp,xm) = sdtasdt0(xn,xm)
| sdtasdt0(xp,xk) = sdtasdt0(xp,xm)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2k1wicmr/input.p',i_0_94) ).
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-2k1wicmr/input.p',i_0_53) ).
cnf(i_0_35,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2k1wicmr/input.p',i_0_35) ).
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-2k1wicmr/input.p',i_0_33) ).
cnf(i_0_17,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2)) = sdtasdt0(sdtpldt0(X1,X3),X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2k1wicmr/input.p',i_0_17) ).
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-2k1wicmr/input.p',i_0_12) ).
cnf(i_0_23,plain,
( X1 = sz00
| sdtpldt0(X2,X1) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2k1wicmr/input.p',i_0_23) ).
cnf(i_0_18,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2k1wicmr/input.p',i_0_18) ).
cnf(i_0_78,hypothesis,
~ sdtlseqdt0(xp,xm),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2k1wicmr/input.p',i_0_78) ).
cnf(i_0_16,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2k1wicmr/input.p',i_0_16) ).
cnf(i_0_85,hypothesis,
sz00 != xk,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2k1wicmr/input.p',i_0_85) ).
cnf(c_0_142,plain,
( doDivides0(X1,X2)
| X2 != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
i_0_50 ).
cnf(c_0_143,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_6 ).
cnf(c_0_144,plain,
( X1 = sz00
| X2 = sdtasdt0(X1,X3)
| X3 != sdtsldt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
i_0_54 ).
cnf(c_0_145,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_142]),c_0_143]) ).
cnf(c_0_146,plain,
( sdtasdt0(sz10,X1) = X1
| ~ aNaturalNumber0(X1) ),
i_0_13 ).
cnf(c_0_147,plain,
aNaturalNumber0(sz10),
i_0_4 ).
cnf(c_0_148,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_149,hypothesis,
sdtlseqdt0(xm,xp),
i_0_79 ).
cnf(c_0_150,hypothesis,
aNaturalNumber0(xp),
i_0_71 ).
cnf(c_0_151,hypothesis,
aNaturalNumber0(xm),
i_0_72 ).
cnf(c_0_152,hypothesis,
xp != xm,
i_0_80 ).
cnf(c_0_153,plain,
( sdtasdt0(X1,sdtsldt0(X2,X1)) = X2
| X1 = sz00
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_144]) ).
cnf(c_0_154,plain,
( doDivides0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_147])]) ).
cnf(c_0_155,plain,
sz00 != sz10,
i_0_3 ).
cnf(c_0_156,plain,
( X1 = sz00
| aNaturalNumber0(X2)
| X2 != sdtsldt0(X3,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X3) ),
i_0_55 ).
cnf(c_0_157,hypothesis,
( sdtlseqdt0(sdtpldt0(X1,xm),sdtpldt0(X1,xp))
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_150]),c_0_151])]),c_0_152]) ).
cnf(c_0_158,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aNaturalNumber0(X1) ),
i_0_9 ).
cnf(c_0_159,plain,
aNaturalNumber0(sz00),
i_0_2 ).
cnf(c_0_160,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_25 ).
cnf(c_0_161,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_153,c_0_154]),c_0_147])]),c_0_155]) ).
cnf(c_0_162,plain,
( X1 = sz00
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_156]) ).
cnf(c_0_163,plain,
( sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3) ),
i_0_34 ).
cnf(c_0_164,plain,
sdtlseqdt0(sdtpldt0(sz00,xm),xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_159]),c_0_150])]) ).
cnf(c_0_165,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_160,c_0_161]),c_0_147])]),c_0_155])]),c_0_159])]) ).
cnf(c_0_166,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_162,c_0_154]),c_0_147])]),c_0_155]) ).
cnf(c_0_167,plain,
( sdtlseqdt0(X1,xp)
| ~ sdtlseqdt0(X1,sdtpldt0(sz00,xm))
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_150])]) ).
cnf(c_0_168,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_5 ).
cnf(c_0_169,plain,
( sdtlseqdt0(X1,X2)
| sdtpldt0(X1,X3) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_26 ).
cnf(c_0_170,plain,
sdtsldt0(sz00,sz10) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_159])]) ).
cnf(c_0_171,plain,
( sdtlseqdt0(X1,xp)
| ~ sdtlseqdt0(X1,sdtpldt0(sz00,xm))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_151]),c_0_159])]) ).
cnf(c_0_172,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_169]),c_0_168]) ).
cnf(c_0_173,plain,
sdtasdt0(sz10,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_170]),c_0_159])]) ).
cnf(c_0_174,plain,
( sdtpldt0(X1,esk1_2(X1,X2)) = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_27 ).
cnf(c_0_175,plain,
sdtlseqdt0(sz00,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_159]),c_0_151])]) ).
cnf(c_0_176,plain,
( aNaturalNumber0(esk1_2(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_28 ).
cnf(c_0_177,plain,
( doDivides0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X3)
| ~ doDivides0(X1,X2) ),
i_0_57 ).
cnf(c_0_178,plain,
doDivides0(sz10,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_173]),c_0_159]),c_0_147])]) ).
cnf(c_0_179,plain,
sdtpldt0(sz00,esk1_2(sz00,xp)) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_150]),c_0_159])]) ).
cnf(c_0_180,plain,
aNaturalNumber0(esk1_2(sz00,xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_175]),c_0_150]),c_0_159])]) ).
cnf(c_0_181,plain,
( doDivides0(sz10,sdtpldt0(X1,sz00))
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_159]),c_0_147])]),c_0_154]) ).
cnf(c_0_182,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_7 ).
cnf(c_0_183,plain,
esk1_2(sz00,xp) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_179]),c_0_180])]) ).
cnf(c_0_184,plain,
( doDivides0(sz10,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_159])]) ).
cnf(c_0_185,plain,
sdtpldt0(sz00,xp) = xp,
inference(rw,[status(thm)],[c_0_179,c_0_183]) ).
cnf(c_0_186,plain,
( sdtasdt0(X1,esk2_2(X1,X2)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
i_0_51 ).
cnf(c_0_187,plain,
doDivides0(sz10,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_150])]) ).
cnf(c_0_188,plain,
( aNaturalNumber0(esk2_2(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2) ),
i_0_52 ).
cnf(c_0_189,hypothesis,
doDivides0(xp,sdtasdt0(xn,xm)),
i_0_75 ).
cnf(c_0_190,hypothesis,
sdtsldt0(sdtasdt0(xn,xm),xp) = xk,
i_0_83 ).
cnf(c_0_191,plain,
sdtasdt0(sz10,esk2_2(sz10,xp)) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_150]),c_0_147])]) ).
cnf(c_0_192,plain,
aNaturalNumber0(esk2_2(sz10,xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_187]),c_0_150]),c_0_147])]) ).
cnf(c_0_193,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_153,c_0_189]),c_0_190]),c_0_150])]) ).
cnf(c_0_194,hypothesis,
aNaturalNumber0(xn),
i_0_73 ).
cnf(c_0_195,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_47 ).
cnf(c_0_196,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_11 ).
cnf(c_0_197,plain,
esk2_2(sz10,xp) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_191]),c_0_192])]) ).
cnf(c_0_198,plain,
( X1 = X2
| X3 = sz00
| sdtlseqdt0(sdtasdt0(X3,X1),sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2) ),
i_0_43 ).
cnf(c_0_199,hypothesis,
sdtlseqdt0(xn,xp),
i_0_81 ).
cnf(c_0_200,hypothesis,
xp != xn,
i_0_82 ).
cnf(c_0_201,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_193,c_0_143]),c_0_151]),c_0_194])]) ).
cnf(c_0_202,plain,
( X1 = sz00
| sdtpldt0(X1,X2) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_24 ).
cnf(c_0_203,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_174,c_0_149]),c_0_150]),c_0_151])]) ).
cnf(c_0_204,hypothesis,
aNaturalNumber0(esk1_2(xm,xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_149]),c_0_150]),c_0_151])]) ).
cnf(c_0_205,hypothesis,
sdtlseqdt0(xp,xk),
i_0_93 ).
cnf(c_0_206,hypothesis,
( xp = sz00
| aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_189]),c_0_190]),c_0_150])]) ).
cnf(c_0_207,plain,
( X1 = X2
| sdtpldt0(X1,X3) != sdtpldt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
i_0_19 ).
cnf(c_0_208,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_209,plain,
sdtasdt0(sz10,xp) = xp,
inference(rw,[status(thm)],[c_0_191,c_0_197]) ).
cnf(c_0_210,hypothesis,
( X1 = sz00
| sdtlseqdt0(sdtasdt0(X1,xn),sdtasdt0(X1,xp))
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_150]),c_0_194])]),c_0_200]) ).
cnf(c_0_211,plain,
( sdtasdt0(xm,xn) = sdtasdt0(xp,xk)
| xp = 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_194]),c_0_151])]) ).
cnf(c_0_212,plain,
( xm = sz00
| xp != 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_204]),c_0_151])]) ).
cnf(c_0_213,plain,
( sdtlseqdt0(X1,sdtpldt0(X2,X3))
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_172]),c_0_168]) ).
cnf(c_0_214,hypothesis,
( sdtpldt0(xp,esk1_2(xp,xk)) = xk
| ~ aNaturalNumber0(xk) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_205]),c_0_150])]) ).
cnf(c_0_215,plain,
( xp = sz00
| aNaturalNumber0(xk) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_143]),c_0_151]),c_0_194])]) ).
cnf(c_0_216,hypothesis,
( aNaturalNumber0(esk1_2(xp,xk))
| ~ aNaturalNumber0(xk) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_205]),c_0_150])]) ).
cnf(c_0_217,plain,
( sz00 = X1
| sdtpldt0(X1,xp) != xp
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_185]),c_0_150]),c_0_159])]) ).
cnf(c_0_218,plain,
sdtlseqdt0(xp,xp),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_150]),c_0_147])]),c_0_155]) ).
cnf(c_0_219,plain,
( sdtasdt0(sz00,X1) = sz00
| ~ aNaturalNumber0(X1) ),
i_0_15 ).
cnf(c_0_220,plain,
( aNaturalNumber0(esk1_2(sdtpldt0(sz00,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_164]),c_0_150])]) ).
cnf(c_0_221,plain,
sdtasdt0(sz00,sz10) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_173]),c_0_147]),c_0_159])]) ).
cnf(c_0_222,negated_conjecture,
( sdtasdt0(xp,xm) = sdtasdt0(xn,xm)
| sdtasdt0(xp,xk) = sdtasdt0(xp,xm)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ),
i_0_94 ).
cnf(c_0_223,plain,
( xm = sz00
| sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xm,xp)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_151])]),c_0_212]) ).
cnf(c_0_224,hypothesis,
( sdtlseqdt0(xm,sdtpldt0(xp,X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_149]),c_0_150]),c_0_151])]) ).
cnf(c_0_225,plain,
( sdtpldt0(xp,esk1_2(xp,xk)) = xk
| xp = sz00 ),
inference(spm,[status(thm)],[c_0_214,c_0_215]) ).
cnf(c_0_226,hypothesis,
( xp = sz00
| aNaturalNumber0(esk1_2(xp,xk)) ),
inference(spm,[status(thm)],[c_0_216,c_0_215]) ).
cnf(c_0_227,plain,
( sz00 = X1
| sdtpldt0(xp,X1) != xp
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_182]),c_0_150])]) ).
cnf(c_0_228,plain,
sdtpldt0(xp,esk1_2(xp,xp)) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_218]),c_0_150])]) ).
cnf(c_0_229,plain,
aNaturalNumber0(esk1_2(xp,xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_218]),c_0_150])]) ).
cnf(c_0_230,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_219]),c_0_159])]) ).
cnf(c_0_231,plain,
aNaturalNumber0(esk1_2(sdtpldt0(sz00,xm),xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_168]),c_0_151]),c_0_159])]) ).
cnf(c_0_232,plain,
sdtlseqdt0(sz00,sz00),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_221]),c_0_159]),c_0_147])]),c_0_155]) ).
cnf(c_0_233,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_234,negated_conjecture,
( sdtasdt0(xp,xk) = sdtasdt0(xp,xm)
| xp = sz00
| ~ sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ),
inference(spm,[status(thm)],[c_0_222,c_0_201]) ).
cnf(c_0_235,plain,
( xm = sz00
| sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_196]),c_0_151]),c_0_150])]) ).
cnf(c_0_236,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_35 ).
cnf(c_0_237,plain,
( X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_33 ).
cnf(c_0_238,plain,
( xp = sz00
| sdtlseqdt0(xm,xk) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_226]) ).
cnf(c_0_239,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2)) = sdtasdt0(sdtpldt0(X1,X3),X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
i_0_17 ).
cnf(c_0_240,hypothesis,
( sdtasdt0(xp,esk2_2(xp,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_189]),c_0_150])]) ).
cnf(c_0_241,plain,
esk1_2(xp,xp) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_229])]) ).
cnf(c_0_242,hypothesis,
( aNaturalNumber0(esk2_2(xp,sdtasdt0(xn,xm)))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_150])]) ).
cnf(c_0_243,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_12 ).
cnf(c_0_244,plain,
doDivides0(sz00,sz00),
inference(spm,[status(thm)],[c_0_230,c_0_231]) ).
cnf(c_0_245,plain,
( X1 = sz00
| sdtpldt0(X2,X1) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_23 ).
cnf(c_0_246,plain,
sdtpldt0(sz00,esk1_2(sz00,sz00)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_232]),c_0_159])]) ).
cnf(c_0_247,plain,
aNaturalNumber0(esk1_2(sz00,sz00)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_232]),c_0_159])]) ).
cnf(c_0_248,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_233]),c_0_143]),c_0_145]) ).
cnf(c_0_249,negated_conjecture,
( sdtasdt0(xp,xk) = sdtasdt0(xp,xm)
| xm = sz00
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_212]) ).
cnf(c_0_250,plain,
( X1 = sz00
| X2 = X3
| sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
| sdtlseqdt0(X3,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[c_0_198,c_0_236]) ).
cnf(c_0_251,plain,
( xp = sz00
| xk = xm
| ~ sdtlseqdt0(xk,xm) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_151])]),c_0_215]) ).
cnf(c_0_252,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_18 ).
cnf(c_0_253,plain,
( sdtpldt0(sdtasdt0(X1,X2),sz00) = sdtasdt0(sdtpldt0(X1,sz00),X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_219]),c_0_159])]) ).
cnf(c_0_254,plain,
sdtasdt0(xp,esk2_2(xp,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_143]),c_0_151]),c_0_194])]) ).
cnf(c_0_255,plain,
sdtpldt0(xp,sz00) = xp,
inference(rw,[status(thm)],[c_0_228,c_0_241]) ).
cnf(c_0_256,plain,
aNaturalNumber0(esk2_2(xp,sdtasdt0(xn,xm))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_143]),c_0_151]),c_0_194])]) ).
cnf(c_0_257,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_243,c_0_219]),c_0_159])]) ).
cnf(c_0_258,plain,
sdtasdt0(sz00,esk2_2(sz00,sz00)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_244]),c_0_159])]) ).
cnf(c_0_259,plain,
aNaturalNumber0(esk2_2(sz00,sz00)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_244]),c_0_159])]) ).
cnf(c_0_260,plain,
esk1_2(sz00,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_159]),c_0_247])]) ).
cnf(c_0_261,plain,
( sdtsldt0(sdtasdt0(xp,xk),xm) = xn
| xm = sz00 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_211]),c_0_194]),c_0_151])]),c_0_212]) ).
cnf(c_0_262,negated_conjecture,
( sdtasdt0(xp,xk) = sdtasdt0(xp,xm)
| xk = xm
| xm = sz00 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_150]),c_0_151])]),c_0_215]),c_0_251]),c_0_212]) ).
cnf(c_0_263,plain,
( sdtpldt0(sz00,sdtasdt0(sz00,X1)) = sdtasdt0(sz00,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_219]),c_0_159])]) ).
cnf(c_0_264,plain,
sdtpldt0(sdtasdt0(xn,xm),sz00) = 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_253,c_0_254]),c_0_255]),c_0_254]),c_0_256]),c_0_150])]) ).
cnf(c_0_265,plain,
sdtasdt0(sz00,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_258]),c_0_259]),c_0_159])]) ).
cnf(c_0_266,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(rw,[status(thm)],[c_0_246,c_0_260]) ).
cnf(c_0_267,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_143,c_0_254]),c_0_150])]),c_0_256])]) ).
cnf(c_0_268,plain,
( sdtsldt0(sdtasdt0(X1,X2),X2) = X1
| X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[c_0_248,c_0_196]) ).
cnf(c_0_269,plain,
( sdtsldt0(sdtasdt0(xp,xm),xm) = xn
| xk = xm
| xm = sz00 ),
inference(spm,[status(thm)],[c_0_261,c_0_262]) ).
cnf(c_0_270,plain,
sdtasdt0(sz00,sdtasdt0(xn,xm)) = sz00,
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_263,c_0_264]),c_0_265]),c_0_266]),c_0_159]),c_0_267])]) ).
cnf(c_0_271,plain,
( xk = xm
| xm = sz00 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_269]),c_0_150]),c_0_151])]),c_0_200]) ).
cnf(c_0_272,hypothesis,
~ sdtlseqdt0(xp,xm),
i_0_78 ).
cnf(c_0_273,plain,
sdtasdt0(sz00,sdtasdt0(xm,xn)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_196]),c_0_194]),c_0_151])]) ).
cnf(c_0_274,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
i_0_16 ).
cnf(c_0_275,hypothesis,
sdtsldt0(sdtasdt0(xm,xn),xp) = xk,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_196]),c_0_194]),c_0_151])]) ).
cnf(c_0_276,hypothesis,
xm = sz00,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_271]),c_0_272]) ).
cnf(c_0_277,plain,
sdtasdt0(sz00,xn) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_273]),c_0_194]),c_0_151])]) ).
cnf(c_0_278,plain,
( sdtsldt0(sz00,X1) = sz00
| X1 = sz00
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_274]),c_0_159])]) ).
cnf(c_0_279,hypothesis,
sdtsldt0(sz00,xp) = xk,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_275,c_0_276]),c_0_277]) ).
cnf(c_0_280,hypothesis,
sz00 != xk,
i_0_85 ).
cnf(c_0_281,hypothesis,
xp != sz00,
inference(rw,[status(thm)],[c_0_152,c_0_276]) ).
cnf(c_0_282,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_150])]),c_0_280]),c_0_281]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM503+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 5 17:34:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.43 # ENIGMATIC: Selected complete mode:
% 10.03/2.65 # ENIGMATIC: Solved by autoschedule:
% 10.03/2.65 # No SInE strategy applied
% 10.03/2.65 # Trying AutoSched0 for 150 seconds
% 10.03/2.65 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 10.03/2.65 # and selection function SelectNewComplexAHP.
% 10.03/2.65 #
% 10.03/2.65 # Preprocessing time : 0.025 s
% 10.03/2.65 # Presaturation interreduction done
% 10.03/2.65
% 10.03/2.65 # Proof found!
% 10.03/2.65 # SZS status Theorem
% 10.03/2.65 # SZS output start CNFRefutation
% See solution above
% 10.03/2.65 # Training examples: 0 positive, 0 negative
% 10.03/2.65
% 10.03/2.65 # -------------------------------------------------
% 10.03/2.65 # User time : 0.406 s
% 10.03/2.65 # System time : 0.021 s
% 10.03/2.65 # Total time : 0.427 s
% 10.03/2.65 # Maximum resident set size: 7116 pages
% 10.03/2.65
%------------------------------------------------------------------------------