TSTP Solution File: NUM527+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM527+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n011.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 08:36:59 EDT 2022
% Result : Theorem 10.96s 2.78s
% Output : CNFRefutation 10.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 33
% Syntax : Number of clauses : 146 ( 74 unt; 26 nHn; 146 RR)
% Number of literals : 374 ( 111 equ; 207 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 144 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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-mp8685td/lgb.p',i_0_50) ).
cnf(i_0_6,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mp8685td/lgb.p',i_0_6) ).
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-mp8685td/lgb.p',i_0_55) ).
cnf(i_0_84,hypothesis,
sdtasdt0(xp,sdtasdt0(xq,xq)) = sdtasdt0(xm,xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mp8685td/lgb.p',i_0_84) ).
cnf(i_0_75,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mp8685td/lgb.p',i_0_75) ).
cnf(i_0_81,hypothesis,
doDivides0(xp,xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mp8685td/lgb.p',i_0_81) ).
cnf(i_0_83,hypothesis,
sdtsldt0(xn,xp) = xq,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mp8685td/lgb.p',i_0_83) ).
cnf(i_0_77,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mp8685td/lgb.p',i_0_77) ).
cnf(i_0_72,hypothesis,
sz00 != xp,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mp8685td/lgb.p',i_0_72) ).
cnf(i_0_71,plain,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| ~ doDivides0(X1,sdtasdt0(X3,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mp8685td/lgb.p',i_0_71) ).
cnf(i_0_80,hypothesis,
isPrime0(xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mp8685td/lgb.p',i_0_80) ).
cnf(i_0_76,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mp8685td/lgb.p',i_0_76) ).
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-mp8685td/lgb.p',i_0_56) ).
cnf(i_0_13,plain,
( sdtasdt0(sz10,X1) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mp8685td/lgb.p',i_0_13) ).
cnf(i_0_4,plain,
aNaturalNumber0(sz10),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mp8685td/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-mp8685td/lgb.p',i_0_54) ).
cnf(i_0_11,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mp8685td/lgb.p',i_0_11) ).
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-mp8685td/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/sandbox/tmp/enigma-theBenchmark.p-mp8685td/lgb.p',i_0_52) ).
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-mp8685td/lgb.p',i_0_53) ).
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-mp8685td/lgb.p',i_0_12) ).
cnf(i_0_74,hypothesis,
sz00 != xn,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mp8685td/lgb.p',i_0_74) ).
cnf(i_0_79,hypothesis,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mp8685td/lgb.p',i_0_79) ).
cnf(i_0_47,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mp8685td/lgb.p',i_0_47) ).
cnf(i_0_21,plain,
( X1 = X2
| X3 = sz00
| sdtasdt0(X1,X3) != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mp8685td/lgb.p',i_0_21) ).
cnf(i_0_41,plain,
( X1 = X2
| X3 = sz00
| sdtlseqdt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mp8685td/lgb.p',i_0_41) ).
cnf(i_0_86,negated_conjecture,
sdtlseqdt0(xn,xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mp8685td/lgb.p',i_0_86) ).
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-mp8685td/lgb.p',i_0_34) ).
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/sandbox/tmp/enigma-theBenchmark.p-mp8685td/lgb.p',i_0_43) ).
cnf(i_0_73,hypothesis,
sz00 != xm,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mp8685td/lgb.p',i_0_73) ).
cnf(i_0_33,plain,
( X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mp8685td/lgb.p',i_0_33) ).
cnf(i_0_85,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mp8685td/lgb.p',i_0_85) ).
cnf(i_0_3,plain,
sz00 != sz10,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mp8685td/lgb.p',i_0_3) ).
cnf(c_0_120,plain,
( doDivides0(X1,X2)
| X2 != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
i_0_50 ).
cnf(c_0_121,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_6 ).
cnf(c_0_122,plain,
( X1 = sz00
| aNaturalNumber0(X2)
| X2 != sdtsldt0(X3,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X3) ),
i_0_55 ).
cnf(c_0_123,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_120]),c_0_121]) ).
cnf(c_0_124,hypothesis,
sdtasdt0(xp,sdtasdt0(xq,xq)) = sdtasdt0(xm,xm),
i_0_84 ).
cnf(c_0_125,hypothesis,
aNaturalNumber0(xp),
i_0_75 ).
cnf(c_0_126,plain,
( X1 = sz00
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_122]) ).
cnf(c_0_127,hypothesis,
doDivides0(xp,xn),
i_0_81 ).
cnf(c_0_128,hypothesis,
sdtsldt0(xn,xp) = xq,
i_0_83 ).
cnf(c_0_129,hypothesis,
aNaturalNumber0(xn),
i_0_77 ).
cnf(c_0_130,hypothesis,
sz00 != xp,
i_0_72 ).
cnf(c_0_131,hypothesis,
( doDivides0(xp,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_125])]) ).
cnf(c_0_132,hypothesis,
aNaturalNumber0(xq),
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_126,c_0_127]),c_0_128]),c_0_129]),c_0_125])]),c_0_130]) ).
cnf(c_0_133,plain,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| ~ doDivides0(X1,sdtasdt0(X3,X2)) ),
i_0_71 ).
cnf(c_0_134,plain,
doDivides0(xp,sdtasdt0(xm,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_121]),c_0_132])]) ).
cnf(c_0_135,hypothesis,
isPrime0(xp),
i_0_80 ).
cnf(c_0_136,hypothesis,
aNaturalNumber0(xm),
i_0_76 ).
cnf(c_0_137,plain,
( doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3) ),
i_0_56 ).
cnf(c_0_138,plain,
doDivides0(xp,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135]),c_0_136]),c_0_125])]) ).
cnf(c_0_139,plain,
( sdtasdt0(sz10,X1) = X1
| ~ aNaturalNumber0(X1) ),
i_0_13 ).
cnf(c_0_140,plain,
aNaturalNumber0(sz10),
i_0_4 ).
cnf(c_0_141,plain,
( X1 = sz00
| X2 = sdtasdt0(X1,X3)
| X3 != sdtsldt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
i_0_54 ).
cnf(c_0_142,plain,
( doDivides0(X1,xm)
| ~ doDivides0(X1,xp)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_125]),c_0_136])]) ).
cnf(c_0_143,plain,
( doDivides0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_139]),c_0_140])]) ).
cnf(c_0_144,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_11 ).
cnf(c_0_145,plain,
( sdtasdt0(X1,sdtsldt0(X2,X1)) = X2
| X1 = sz00
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_141]) ).
cnf(c_0_146,plain,
( sdtasdt0(X1,esk2_2(X1,X2)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
i_0_51 ).
cnf(c_0_147,plain,
doDivides0(sz10,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_140]),c_0_125])]) ).
cnf(c_0_148,plain,
( aNaturalNumber0(esk2_2(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2) ),
i_0_52 ).
cnf(c_0_149,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_150,plain,
( doDivides0(X1,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_123,c_0_144]) ).
cnf(c_0_151,hypothesis,
sdtasdt0(xp,xq) = xn,
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_145,c_0_127]),c_0_128]),c_0_129]),c_0_125])]),c_0_130]) ).
cnf(c_0_152,plain,
sdtasdt0(sz10,esk2_2(sz10,xm)) = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_136]),c_0_140])]) ).
cnf(c_0_153,plain,
aNaturalNumber0(esk2_2(sz10,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_147]),c_0_136]),c_0_140])]) ).
cnf(c_0_154,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_12 ).
cnf(c_0_155,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_149]),c_0_121]),c_0_123]) ).
cnf(c_0_156,hypothesis,
doDivides0(xq,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_125]),c_0_132])]) ).
cnf(c_0_157,plain,
esk2_2(sz10,xm) = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_152]),c_0_153])]) ).
cnf(c_0_158,plain,
( doDivides0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_154]),c_0_121]) ).
cnf(c_0_159,hypothesis,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_124]),c_0_125])]) ).
cnf(c_0_160,plain,
( sdtsldt0(sdtasdt0(X1,sdtasdt0(X2,X3)),sdtasdt0(X1,X2)) = X3
| sdtasdt0(X1,X2) = sz00
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_154]),c_0_121]) ).
cnf(c_0_161,hypothesis,
sz00 != xn,
i_0_74 ).
cnf(c_0_162,plain,
( doDivides0(X1,xn)
| ~ doDivides0(X1,xq)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_156]),c_0_132]),c_0_129])]) ).
cnf(c_0_163,plain,
sdtasdt0(sz10,xm) = xm,
inference(rw,[status(thm)],[c_0_152,c_0_157]) ).
cnf(c_0_164,hypothesis,
doDivides0(xn,sdtasdt0(xm,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_124]),c_0_151]),c_0_132]),c_0_125])]) ).
cnf(c_0_165,plain,
aNaturalNumber0(sdtasdt0(xm,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_121]),c_0_132])]) ).
cnf(c_0_166,hypothesis,
sdtsldt0(sdtasdt0(xm,xm),xn) = xq,
inference(sr,[status(thm)],[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_160,c_0_124]),c_0_151]),c_0_151]),c_0_132]),c_0_125])]),c_0_161]) ).
cnf(c_0_167,plain,
doDivides0(sz10,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_143]),c_0_140]),c_0_132])]) ).
cnf(c_0_168,plain,
sdtasdt0(xm,sz10) = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_163]),c_0_136]),c_0_140])]) ).
cnf(c_0_169,hypothesis,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
i_0_79 ).
cnf(c_0_170,plain,
sdtasdt0(xm,xm) = sdtasdt0(xn,xq),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_164]),c_0_165]),c_0_129])]),c_0_161]),c_0_166]) ).
cnf(c_0_171,plain,
sdtasdt0(sz10,esk2_2(sz10,xn)) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_167]),c_0_129]),c_0_140])]) ).
cnf(c_0_172,plain,
aNaturalNumber0(esk2_2(sz10,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_167]),c_0_129]),c_0_140])]) ).
cnf(c_0_173,plain,
( doDivides0(X1,sdtasdt0(X2,X3))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_123]),c_0_121]) ).
cnf(c_0_174,plain,
doDivides0(xm,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_168]),c_0_140]),c_0_136])]) ).
cnf(c_0_175,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_154,c_0_139]),c_0_140])]) ).
cnf(c_0_176,hypothesis,
sdtasdt0(xp,sdtasdt0(xn,xq)) = sdtasdt0(xn,xn),
inference(rw,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_177,plain,
aNaturalNumber0(sdtasdt0(xn,xq)),
inference(rw,[status(thm)],[c_0_165,c_0_170]) ).
cnf(c_0_178,plain,
esk2_2(sz10,xn) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_171]),c_0_172])]) ).
cnf(c_0_179,plain,
( doDivides0(xm,sdtasdt0(xm,X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_136])]) ).
cnf(c_0_180,plain,
( sdtasdt0(sdtasdt0(X1,sdtasdt0(X2,X3)),X4) = sdtasdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X4))
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_154]),c_0_121]) ).
cnf(c_0_181,hypothesis,
sdtasdt0(sz10,sdtasdt0(xn,xn)) = sdtasdt0(xn,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_177]),c_0_125])]) ).
cnf(c_0_182,plain,
sdtasdt0(sz10,xn) = xn,
inference(rw,[status(thm)],[c_0_171,c_0_178]) ).
cnf(c_0_183,plain,
( aNaturalNumber0(sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_154]),c_0_121]) ).
cnf(c_0_184,plain,
( doDivides0(xm,sdtasdt0(X1,xm))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_144]),c_0_136])]) ).
cnf(c_0_185,plain,
( sdtasdt0(sdtasdt0(xn,xn),X1) = sdtasdt0(xn,sdtasdt0(xn,X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_182]),c_0_129]),c_0_140])]) ).
cnf(c_0_186,hypothesis,
aNaturalNumber0(sdtasdt0(xn,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_169]),c_0_125])]),c_0_165])]) ).
cnf(c_0_187,plain,
( aNaturalNumber0(sdtasdt0(X1,xm))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_163]),c_0_136]),c_0_140])]) ).
cnf(c_0_188,plain,
doDivides0(xm,sdtasdt0(xn,sdtasdt0(xn,xm))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_186]),c_0_136])]) ).
cnf(c_0_189,plain,
aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xn,xm))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_185]),c_0_186]),c_0_136])]) ).
cnf(c_0_190,plain,
sdtasdt0(xm,esk2_2(xm,sdtasdt0(xn,sdtasdt0(xn,xm)))) = sdtasdt0(xn,sdtasdt0(xn,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_188]),c_0_189]),c_0_136])]) ).
cnf(c_0_191,plain,
aNaturalNumber0(esk2_2(xm,sdtasdt0(xn,sdtasdt0(xn,xm)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_188]),c_0_189]),c_0_136])]) ).
cnf(c_0_192,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_144,c_0_154]),c_0_121]) ).
cnf(c_0_193,plain,
sdtasdt0(sz10,sdtasdt0(xn,sdtasdt0(xn,xm))) = sdtasdt0(xn,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_175,c_0_190]),c_0_136])]),c_0_191])]) ).
cnf(c_0_194,plain,
( sdtasdt0(xn,sdtasdt0(sdtasdt0(xn,xm),sz10)) = sdtasdt0(xn,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_140]),c_0_129])]) ).
cnf(c_0_195,plain,
sdtasdt0(xn,sdtasdt0(sdtasdt0(xn,xm),sz10)) = sdtasdt0(xn,sdtasdt0(xn,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_121]),c_0_136]),c_0_129])]) ).
cnf(c_0_196,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X2,sdtasdt0(X1,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[c_0_154,c_0_144]) ).
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_144,c_0_182]),c_0_129]),c_0_140])]) ).
cnf(c_0_198,plain,
( sdtsldt0(sdtasdt0(xn,sdtasdt0(xn,xm)),xn) = sdtasdt0(xn,xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(sr,[status(thm)],[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_160,c_0_193]),c_0_182]),c_0_182]),c_0_129]),c_0_140])]),c_0_161]) ).
cnf(c_0_199,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_47 ).
cnf(c_0_200,plain,
sdtasdt0(xn,sdtasdt0(xm,xn)) = sdtasdt0(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_195,c_0_196]),c_0_197]),c_0_140]),c_0_129]),c_0_136])]) ).
cnf(c_0_201,plain,
sdtsldt0(sdtasdt0(xn,sdtasdt0(xn,xm)),xn) = sdtasdt0(xn,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_121]),c_0_136]),c_0_129])]) ).
cnf(c_0_202,plain,
( X1 = X2
| X3 = sz00
| sdtasdt0(X1,X3) != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
i_0_21 ).
cnf(c_0_203,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_199,c_0_144]) ).
cnf(c_0_204,plain,
( X1 = X2
| X3 = sz00
| sdtlseqdt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_41 ).
cnf(c_0_205,negated_conjecture,
sdtlseqdt0(xn,xm),
i_0_86 ).
cnf(c_0_206,plain,
( sdtasdt0(xm,xn) = sdtasdt0(xn,xm)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_200]),c_0_201]),c_0_129])]),c_0_161]) ).
cnf(c_0_207,plain,
( X1 = sdtasdt0(X2,X3)
| X4 = sz00
| sdtasdt0(X1,X4) != sdtasdt0(X2,sdtasdt0(X3,X4))
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_154]),c_0_121]) ).
cnf(c_0_208,plain,
( sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3) ),
i_0_34 ).
cnf(c_0_209,hypothesis,
sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn)),
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_169]),c_0_165]),c_0_125])]),c_0_130]) ).
cnf(c_0_210,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_211,negated_conjecture,
( xm = xn
| X1 = sz00
| sdtlseqdt0(sdtasdt0(xn,X1),sdtasdt0(xm,X1))
| ~ aNaturalNumber0(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_136]),c_0_129])]) ).
cnf(c_0_212,plain,
sdtasdt0(xm,xn) = sdtasdt0(xn,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_121]),c_0_129]),c_0_136])]) ).
cnf(c_0_213,hypothesis,
( X1 = xn
| sdtasdt0(X1,xn) != sdtasdt0(xn,xn)
| ~ aNaturalNumber0(X1) ),
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_207,c_0_181]),c_0_182]),c_0_129]),c_0_140])]),c_0_161]) ).
cnf(c_0_214,plain,
( sdtlseqdt0(X1,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,sdtasdt0(xm,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_165]),c_0_186])]) ).
cnf(c_0_215,negated_conjecture,
( xm = xn
| X1 = sz00
| sdtlseqdt0(sdtasdt0(X1,xn),sdtasdt0(X1,xm))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_205]),c_0_136]),c_0_129])]) ).
cnf(c_0_216,hypothesis,
sz00 != xm,
i_0_73 ).
cnf(c_0_217,plain,
( X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_33 ).
cnf(c_0_218,plain,
( xm = xn
| sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xn,xm)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_129])]),c_0_161]) ).
cnf(c_0_219,plain,
aNaturalNumber0(sdtasdt0(xn,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_212]),c_0_129]),c_0_136])]) ).
cnf(c_0_220,hypothesis,
( xm = xn
| sdtasdt0(xn,xm) != sdtasdt0(xn,xn) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_212]),c_0_136])]) ).
cnf(c_0_221,plain,
( sdtlseqdt0(X1,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,sdtasdt0(xn,xq)) ),
inference(rw,[status(thm)],[c_0_214,c_0_170]) ).
cnf(c_0_222,plain,
( xm = xn
| sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xq)) ),
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_170]),c_0_212]),c_0_136])]),c_0_216]) ).
cnf(c_0_223,plain,
( xm = xn
| ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xn)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_186]),c_0_219])]),c_0_220]) ).
cnf(c_0_224,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)),
i_0_85 ).
cnf(c_0_225,plain,
sdtsldt0(sdtasdt0(xn,xq),xm) = xm,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_170]),c_0_136])]),c_0_216]) ).
cnf(c_0_226,plain,
xm = xn,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_219])]),c_0_223]) ).
cnf(c_0_227,hypothesis,
sdtsldt0(sdtasdt0(xn,xq),xn) = xq,
inference(rw,[status(thm)],[c_0_166,c_0_170]) ).
cnf(c_0_228,plain,
sz00 != sz10,
i_0_3 ).
cnf(c_0_229,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xn,xq)),
inference(rw,[status(thm)],[c_0_224,c_0_170]) ).
cnf(c_0_230,plain,
xq = xn,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_225,c_0_226]),c_0_227]),c_0_226]) ).
cnf(c_0_231,plain,
sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn)),
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_181]),c_0_186]),c_0_140])]),c_0_228]) ).
cnf(c_0_232,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_229,c_0_230]),c_0_231])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM527+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jul 5 08:23:53 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.46 # ENIGMATIC: Selected complete mode:
% 10.96/2.78 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.96/2.78 # No SInE strategy applied
% 10.96/2.78 # Trying AutoSched0 for 150 seconds
% 10.96/2.78 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 10.96/2.78 # and selection function SelectNewComplexAHP.
% 10.96/2.78 #
% 10.96/2.78 # Preprocessing time : 0.025 s
% 10.96/2.78 # Presaturation interreduction done
% 10.96/2.78
% 10.96/2.78 # Proof found!
% 10.96/2.78 # SZS status Theorem
% 10.96/2.78 # SZS output start CNFRefutation
% See solution above
% 10.96/2.78 # Training examples: 0 positive, 0 negative
% 10.96/2.78
% 10.96/2.78 # -------------------------------------------------
% 10.96/2.78 # User time : 0.346 s
% 10.96/2.78 # System time : 0.014 s
% 10.96/2.78 # Total time : 0.360 s
% 10.96/2.78 # Maximum resident set size: 7128 pages
% 10.96/2.78
%------------------------------------------------------------------------------