TSTP Solution File: NUM528+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM528+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 08:37:00 EDT 2022
% Result : Theorem 8.32s 2.48s
% Output : CNFRefutation 8.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 27
% Syntax : Number of clauses : 76 ( 36 unt; 15 nHn; 76 RR)
% Number of literals : 175 ( 64 equ; 91 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 58 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_6,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-90q9_2q1/lgb.p',i_0_6) ).
cnf(i_0_99,hypothesis,
sdtasdt0(xp,sdtasdt0(xq,xq)) = sdtasdt0(xm,xm),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-90q9_2q1/lgb.p',i_0_99) ).
cnf(i_0_75,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-90q9_2q1/lgb.p',i_0_75) ).
cnf(i_0_22,plain,
( X1 = X2
| X3 = sz00
| sdtasdt0(X3,X1) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-90q9_2q1/lgb.p',i_0_22) ).
cnf(i_0_94,hypothesis,
sdtasdt0(xp,esk7_0) = sdtasdt0(xn,xn),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-90q9_2q1/lgb.p',i_0_94) ).
cnf(i_0_95,hypothesis,
aNaturalNumber0(esk7_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-90q9_2q1/lgb.p',i_0_95) ).
cnf(i_0_72,hypothesis,
sz00 != xp,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-90q9_2q1/lgb.p',i_0_72) ).
cnf(i_0_98,hypothesis,
aNaturalNumber0(xq),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-90q9_2q1/lgb.p',i_0_98) ).
cnf(i_0_85,hypothesis,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-90q9_2q1/lgb.p',i_0_85) ).
cnf(i_0_103,hypothesis,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| sdtpldt0(xn,X1) != xm
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-90q9_2q1/lgb.p',i_0_103) ).
cnf(i_0_10,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-90q9_2q1/lgb.p',i_0_10) ).
cnf(i_0_2,plain,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-90q9_2q1/lgb.p',i_0_2) ).
cnf(i_0_77,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-90q9_2q1/lgb.p',i_0_77) ).
cnf(i_0_100,hypothesis,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ~ sdtlseqdt0(xn,xm) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-90q9_2q1/lgb.p',i_0_100) ).
cnf(i_0_106,negated_conjecture,
( xm = xn
| ~ sdtlseqdt0(xm,xn) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-90q9_2q1/lgb.p',i_0_106) ).
cnf(i_0_35,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-90q9_2q1/lgb.p',i_0_35) ).
cnf(i_0_76,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-90q9_2q1/lgb.p',i_0_76) ).
cnf(i_0_47,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-90q9_2q1/lgb.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-90q9_2q1/lgb.p',i_0_11) ).
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-90q9_2q1/lgb.p',i_0_50) ).
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-90q9_2q1/lgb.p',i_0_33) ).
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-90q9_2q1/lgb.p',i_0_53) ).
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-90q9_2q1/lgb.p',i_0_25) ).
cnf(i_0_73,hypothesis,
sz00 != xm,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-90q9_2q1/lgb.p',i_0_73) ).
cnf(i_0_14,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-90q9_2q1/lgb.p',i_0_14) ).
cnf(i_0_4,plain,
aNaturalNumber0(sz10),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-90q9_2q1/lgb.p',i_0_4) ).
cnf(i_0_89,hypothesis,
xp != sz10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-90q9_2q1/lgb.p',i_0_89) ).
cnf(c_0_134,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_6 ).
cnf(c_0_135,hypothesis,
sdtasdt0(xp,sdtasdt0(xq,xq)) = sdtasdt0(xm,xm),
i_0_99 ).
cnf(c_0_136,hypothesis,
aNaturalNumber0(xp),
i_0_75 ).
cnf(c_0_137,plain,
( X1 = X2
| X3 = sz00
| sdtasdt0(X3,X1) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_22 ).
cnf(c_0_138,hypothesis,
sdtasdt0(xp,esk7_0) = sdtasdt0(xn,xn),
i_0_94 ).
cnf(c_0_139,hypothesis,
aNaturalNumber0(esk7_0),
i_0_95 ).
cnf(c_0_140,hypothesis,
sz00 != xp,
i_0_72 ).
cnf(c_0_141,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136])]) ).
cnf(c_0_142,hypothesis,
aNaturalNumber0(xq),
i_0_98 ).
cnf(c_0_143,hypothesis,
( X1 = esk7_0
| sdtasdt0(xp,X1) != sdtasdt0(xn,xn)
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_136]),c_0_139])]),c_0_140]) ).
cnf(c_0_144,hypothesis,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
i_0_85 ).
cnf(c_0_145,plain,
aNaturalNumber0(sdtasdt0(xm,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_134]),c_0_142])]) ).
cnf(c_0_146,hypothesis,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| sdtpldt0(xn,X1) != xm
| ~ aNaturalNumber0(X1) ),
i_0_103 ).
cnf(c_0_147,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
i_0_10 ).
cnf(c_0_148,plain,
aNaturalNumber0(sz00),
i_0_2 ).
cnf(c_0_149,hypothesis,
aNaturalNumber0(xn),
i_0_77 ).
cnf(c_0_150,hypothesis,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ~ sdtlseqdt0(xn,xm) ),
i_0_100 ).
cnf(c_0_151,hypothesis,
sdtasdt0(xm,xm) = esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145])]) ).
cnf(c_0_152,negated_conjecture,
( xm = xn
| ~ sdtlseqdt0(xm,xn) ),
i_0_106 ).
cnf(c_0_153,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_35 ).
cnf(c_0_154,hypothesis,
aNaturalNumber0(xm),
i_0_76 ).
cnf(c_0_155,plain,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| xm != xn ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_148]),c_0_149])]) ).
cnf(c_0_156,hypothesis,
( sdtlseqdt0(sdtasdt0(xn,xn),esk7_0)
| ~ sdtlseqdt0(xn,xm) ),
inference(rw,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_157,negated_conjecture,
( xm = xn
| sdtlseqdt0(xn,xm) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_149]),c_0_154])]) ).
cnf(c_0_158,plain,
( sdtlseqdt0(sdtasdt0(xn,xn),esk7_0)
| xm != xn ),
inference(rw,[status(thm)],[c_0_155,c_0_151]) ).
cnf(c_0_159,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_47 ).
cnf(c_0_160,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_11 ).
cnf(c_0_161,plain,
( doDivides0(X1,X2)
| X2 != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
i_0_50 ).
cnf(c_0_162,plain,
( X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_33 ).
cnf(c_0_163,negated_conjecture,
sdtlseqdt0(sdtasdt0(xn,xn),esk7_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_158]) ).
cnf(c_0_164,hypothesis,
aNaturalNumber0(sdtasdt0(xn,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_138]),c_0_139]),c_0_136])]) ).
cnf(c_0_165,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_166,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_167,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_161]),c_0_134]) ).
cnf(c_0_168,plain,
( sdtasdt0(xn,xn) = esk7_0
| ~ sdtlseqdt0(esk7_0,sdtasdt0(xn,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_164]),c_0_139])]) ).
cnf(c_0_169,hypothesis,
sdtlseqdt0(esk7_0,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_165,c_0_138]),c_0_139]),c_0_136])]),c_0_140]) ).
cnf(c_0_170,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_166]),c_0_134]),c_0_167]) ).
cnf(c_0_171,plain,
sdtasdt0(xn,xn) = esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_169])]) ).
cnf(c_0_172,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_25 ).
cnf(c_0_173,hypothesis,
sz00 != xm,
i_0_73 ).
cnf(c_0_174,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
i_0_14 ).
cnf(c_0_175,plain,
aNaturalNumber0(sz10),
i_0_4 ).
cnf(c_0_176,plain,
( sdtsldt0(sdtasdt0(X1,X2),X2) = X1
| X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[c_0_170,c_0_160]) ).
cnf(c_0_177,hypothesis,
sdtasdt0(xp,esk7_0) = esk7_0,
inference(rw,[status(thm)],[c_0_138,c_0_171]) ).
cnf(c_0_178,plain,
esk7_0 != sz00,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_151]),c_0_154])]),c_0_173]) ).
cnf(c_0_179,plain,
( sdtsldt0(X1,X1) = sz10
| X1 = sz00
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_174]),c_0_175])]) ).
cnf(c_0_180,hypothesis,
sdtsldt0(esk7_0,esk7_0) = xp,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_136]),c_0_139])]),c_0_178]) ).
cnf(c_0_181,hypothesis,
xp != sz10,
i_0_89 ).
cnf(c_0_182,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_139])]),c_0_181]),c_0_178]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM528+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n029.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Thu Jul 7 12:42:15 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 8.32/2.48 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.32/2.48 # No SInE strategy applied
% 8.32/2.48 # Trying AutoSched0 for 150 seconds
% 8.32/2.48 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 8.32/2.48 # and selection function SelectNewComplexAHP.
% 8.32/2.48 #
% 8.32/2.48 # Preprocessing time : 0.025 s
% 8.32/2.48 # Presaturation interreduction done
% 8.32/2.48
% 8.32/2.48 # Proof found!
% 8.32/2.48 # SZS status Theorem
% 8.32/2.48 # SZS output start CNFRefutation
% See solution above
% 8.32/2.48 # Training examples: 0 positive, 0 negative
% 8.32/2.48
% 8.32/2.48 # -------------------------------------------------
% 8.32/2.48 # User time : 0.124 s
% 8.32/2.48 # System time : 0.007 s
% 8.32/2.48 # Total time : 0.131 s
% 8.32/2.48 # Maximum resident set size: 7124 pages
% 8.32/2.48
%------------------------------------------------------------------------------