TSTP Solution File: NUM481+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM481+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n013.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 08:36:29 EDT 2022
% Result : Theorem 8.84s 2.51s
% Output : CNFRefutation 8.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 19
% Syntax : Number of clauses : 54 ( 19 unt; 26 nHn; 54 RR)
% Number of literals : 178 ( 75 equ; 92 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 51 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_78,negated_conjecture,
( X1 = sz00
| X1 = sz10
| doDivides0(esk7_1(X1),X1)
| sdtasdt0(X1,X2) != esk4_0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h3modys9/lgb.p',i_0_78) ).
cnf(i_0_14,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h3modys9/lgb.p',i_0_14) ).
cnf(i_0_4,plain,
aNaturalNumber0(sz10),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h3modys9/lgb.p',i_0_4) ).
cnf(i_0_93,negated_conjecture,
aNaturalNumber0(esk4_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h3modys9/lgb.p',i_0_93) ).
cnf(i_0_91,negated_conjecture,
esk4_0 != sz10,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h3modys9/lgb.p',i_0_91) ).
cnf(i_0_92,negated_conjecture,
sz00 != esk4_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h3modys9/lgb.p',i_0_92) ).
cnf(i_0_81,negated_conjecture,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk7_1(X1))
| sdtasdt0(X1,X2) != esk4_0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h3modys9/lgb.p',i_0_81) ).
cnf(i_0_59,plain,
( X1 = sz00
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h3modys9/lgb.p',i_0_59) ).
cnf(i_0_76,negated_conjecture,
( X1 = sz00
| X1 = sz10
| esk7_1(X1) != X1
| sdtasdt0(X1,X2) != esk4_0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h3modys9/lgb.p',i_0_76) ).
cnf(i_0_49,plain,
( X1 = X2
| iLess0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h3modys9/lgb.p',i_0_49) ).
cnf(i_0_77,negated_conjecture,
( X1 = sz00
| X1 = sz10
| esk7_1(X1) != sz10
| sdtasdt0(X1,X2) != esk4_0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h3modys9/lgb.p',i_0_77) ).
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-h3modys9/lgb.p',i_0_56) ).
cnf(i_0_87,negated_conjecture,
( X1 = sz00
| X1 = sz10
| doDivides0(esk5_1(X1),X1)
| ~ aNaturalNumber0(X1)
| ~ iLess0(X1,esk4_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h3modys9/lgb.p',i_0_87) ).
cnf(i_0_90,negated_conjecture,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk5_1(X1))
| ~ aNaturalNumber0(X1)
| ~ iLess0(X1,esk4_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h3modys9/lgb.p',i_0_90) ).
cnf(i_0_82,negated_conjecture,
( X1 = sz00
| X1 = sz10
| isPrime0(esk5_1(X1))
| ~ aNaturalNumber0(X1)
| ~ iLess0(X1,esk4_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h3modys9/lgb.p',i_0_82) ).
cnf(i_0_79,negated_conjecture,
( X1 = sz00
| X1 = sz10
| sdtasdt0(esk7_1(X1),esk8_1(X1)) = X1
| sdtasdt0(X1,X2) != esk4_0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h3modys9/lgb.p',i_0_79) ).
cnf(i_0_68,negated_conjecture,
( ~ aNaturalNumber0(X1)
| ~ isPrime0(X1)
| ~ doDivides0(X1,esk4_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h3modys9/lgb.p',i_0_68) ).
cnf(i_0_80,negated_conjecture,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk8_1(X1))
| sdtasdt0(X1,X2) != esk4_0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h3modys9/lgb.p',i_0_80) ).
cnf(i_0_15,plain,
( sdtasdt0(sz00,X1) = sz00
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h3modys9/lgb.p',i_0_15) ).
cnf(c_0_113,negated_conjecture,
( X1 = sz00
| X1 = sz10
| doDivides0(esk7_1(X1),X1)
| sdtasdt0(X1,X2) != esk4_0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_78 ).
cnf(c_0_114,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
i_0_14 ).
cnf(c_0_115,plain,
aNaturalNumber0(sz10),
i_0_4 ).
cnf(c_0_116,negated_conjecture,
aNaturalNumber0(esk4_0),
i_0_93 ).
cnf(c_0_117,negated_conjecture,
esk4_0 != sz10,
i_0_91 ).
cnf(c_0_118,negated_conjecture,
sz00 != esk4_0,
i_0_92 ).
cnf(c_0_119,negated_conjecture,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk7_1(X1))
| sdtasdt0(X1,X2) != esk4_0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_81 ).
cnf(c_0_120,plain,
( X1 = sz00
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
i_0_59 ).
cnf(c_0_121,plain,
doDivides0(esk7_1(esk4_0),esk4_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115])])]),c_0_116])]),c_0_117]),c_0_118]) ).
cnf(c_0_122,plain,
aNaturalNumber0(esk7_1(esk4_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_114]),c_0_115])])]),c_0_116])]),c_0_117]),c_0_118]) ).
cnf(c_0_123,negated_conjecture,
( X1 = sz00
| X1 = sz10
| esk7_1(X1) != X1
| sdtasdt0(X1,X2) != esk4_0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_76 ).
cnf(c_0_124,plain,
( X1 = X2
| iLess0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_49 ).
cnf(c_0_125,plain,
sdtlseqdt0(esk7_1(esk4_0),esk4_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122]),c_0_116])]),c_0_118]) ).
cnf(c_0_126,plain,
esk7_1(esk4_0) != esk4_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_114]),c_0_115])])]),c_0_116])]),c_0_117]),c_0_118]) ).
cnf(c_0_127,negated_conjecture,
( X1 = sz00
| X1 = sz10
| esk7_1(X1) != sz10
| sdtasdt0(X1,X2) != esk4_0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_77 ).
cnf(c_0_128,plain,
( doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3) ),
i_0_56 ).
cnf(c_0_129,negated_conjecture,
( X1 = sz00
| X1 = sz10
| doDivides0(esk5_1(X1),X1)
| ~ aNaturalNumber0(X1)
| ~ iLess0(X1,esk4_0) ),
i_0_87 ).
cnf(c_0_130,plain,
iLess0(esk7_1(esk4_0),esk4_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_116]),c_0_122])]),c_0_126]) ).
cnf(c_0_131,plain,
esk7_1(esk4_0) != sz10,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_114]),c_0_115])])]),c_0_116])]),c_0_117]),c_0_118]) ).
cnf(c_0_132,negated_conjecture,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk5_1(X1))
| ~ aNaturalNumber0(X1)
| ~ iLess0(X1,esk4_0) ),
i_0_90 ).
cnf(c_0_133,plain,
( doDivides0(X1,esk4_0)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,esk7_1(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_121]),c_0_122]),c_0_116])]) ).
cnf(c_0_134,negated_conjecture,
( esk7_1(esk4_0) = sz00
| doDivides0(esk5_1(esk7_1(esk4_0)),esk7_1(esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_122])]),c_0_131]) ).
cnf(c_0_135,negated_conjecture,
( esk7_1(esk4_0) = sz00
| aNaturalNumber0(esk5_1(esk7_1(esk4_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_130]),c_0_122])]),c_0_131]) ).
cnf(c_0_136,negated_conjecture,
( X1 = sz00
| X1 = sz10
| isPrime0(esk5_1(X1))
| ~ aNaturalNumber0(X1)
| ~ iLess0(X1,esk4_0) ),
i_0_82 ).
cnf(c_0_137,negated_conjecture,
( X1 = sz00
| X1 = sz10
| sdtasdt0(esk7_1(X1),esk8_1(X1)) = X1
| sdtasdt0(X1,X2) != esk4_0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_79 ).
cnf(c_0_138,negated_conjecture,
( ~ aNaturalNumber0(X1)
| ~ isPrime0(X1)
| ~ doDivides0(X1,esk4_0) ),
i_0_68 ).
cnf(c_0_139,plain,
( esk7_1(esk4_0) = sz00
| doDivides0(esk5_1(esk7_1(esk4_0)),esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135]) ).
cnf(c_0_140,negated_conjecture,
( esk7_1(esk4_0) = sz00
| isPrime0(esk5_1(esk7_1(esk4_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_130]),c_0_122])]),c_0_131]) ).
cnf(c_0_141,plain,
sdtasdt0(esk7_1(esk4_0),esk8_1(esk4_0)) = esk4_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_114]),c_0_115])])]),c_0_116])]),c_0_117]),c_0_118]) ).
cnf(c_0_142,negated_conjecture,
esk7_1(esk4_0) = sz00,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_135]),c_0_140]) ).
cnf(c_0_143,negated_conjecture,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk8_1(X1))
| sdtasdt0(X1,X2) != esk4_0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_80 ).
cnf(c_0_144,plain,
( sdtasdt0(sz00,X1) = sz00
| ~ aNaturalNumber0(X1) ),
i_0_15 ).
cnf(c_0_145,plain,
sdtasdt0(sz00,esk8_1(esk4_0)) = esk4_0,
inference(rw,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_146,plain,
aNaturalNumber0(esk8_1(esk4_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_114]),c_0_115])])]),c_0_116])]),c_0_117]),c_0_118]) ).
cnf(c_0_147,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146])]),c_0_118]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM481+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n013.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 03:52:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 8.84/2.51 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.84/2.51 # No SInE strategy applied
% 8.84/2.51 # Trying AutoSched0 for 150 seconds
% 8.84/2.51 # AutoSched0-Mode selected heuristic G_E___200_C45_F1_SE_CS_SP_PI_CO_S0V
% 8.84/2.51 # and selection function PSelectComplexExceptRRHorn.
% 8.84/2.51 #
% 8.84/2.51 # Preprocessing time : 0.026 s
% 8.84/2.51
% 8.84/2.51 # Proof found!
% 8.84/2.51 # SZS status Theorem
% 8.84/2.51 # SZS output start CNFRefutation
% See solution above
% 8.84/2.51 # Training examples: 0 positive, 0 negative
% 8.84/2.51
% 8.84/2.51 # -------------------------------------------------
% 8.84/2.51 # User time : 0.046 s
% 8.84/2.51 # System time : 0.004 s
% 8.84/2.51 # Total time : 0.050 s
% 8.84/2.51 # Maximum resident set size: 7128 pages
% 8.84/2.51
%------------------------------------------------------------------------------