%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM483+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n025.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 08:36:30 EDT 2022
% Result : Theorem 7.99s 2.31s
% Output : CNFRefutation 7.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 20
% Syntax : Number of clauses : 58 ( 19 unt; 27 nHn; 58 RR)
% Number of literals : 185 ( 71 equ; 94 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 : 49 ( 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-5hbhil70/input.p',i_0_50) ).
cnf(i_0_14,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5hbhil70/input.p',i_0_14) ).
cnf(i_0_4,plain,
aNaturalNumber0(sz10),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5hbhil70/input.p',i_0_4) ).
cnf(i_0_90,negated_conjecture,
( X1 = sz00
| X1 = sz10
| doDivides0(esk8_1(X1),X1)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xk) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5hbhil70/input.p',i_0_90) ).
cnf(i_0_68,hypothesis,
aNaturalNumber0(xk),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5hbhil70/input.p',i_0_68) ).
cnf(i_0_78,hypothesis,
xk != sz10,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5hbhil70/input.p',i_0_78) ).
cnf(i_0_79,hypothesis,
sz00 != xk,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5hbhil70/input.p',i_0_79) ).
cnf(i_0_93,negated_conjecture,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk8_1(X1))
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xk) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5hbhil70/input.p',i_0_93) ).
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-5hbhil70/input.p',i_0_59) ).
cnf(i_0_88,negated_conjecture,
( X1 = sz00
| X1 = sz10
| esk8_1(X1) != X1
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xk) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5hbhil70/input.p',i_0_88) ).
cnf(i_0_96,negated_conjecture,
( X1 = sz00
| X1 = sz10
| esk8_1(X1) != sz10
| sdtasdt0(X1,X2) != xk
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5hbhil70/input.p',i_0_96) ).
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-5hbhil70/input.p',i_0_49) ).
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-5hbhil70/input.p',i_0_56) ).
cnf(i_0_74,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk4_1(X1),X1)
| ~ aNaturalNumber0(X1)
| ~ iLess0(X1,xk) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5hbhil70/input.p',i_0_74) ).
cnf(i_0_77,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk4_1(X1))
| ~ aNaturalNumber0(X1)
| ~ iLess0(X1,xk) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5hbhil70/input.p',i_0_77) ).
cnf(i_0_69,hypothesis,
( X1 = sz00
| X1 = sz10
| isPrime0(esk4_1(X1))
| ~ aNaturalNumber0(X1)
| ~ iLess0(X1,xk) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5hbhil70/input.p',i_0_69) ).
cnf(i_0_91,negated_conjecture,
( X1 = sz00
| X1 = sz10
| sdtasdt0(esk8_1(X1),esk9_1(X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xk) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5hbhil70/input.p',i_0_91) ).
cnf(i_0_87,negated_conjecture,
( ~ aNaturalNumber0(X1)
| ~ isPrime0(X1)
| ~ doDivides0(X1,xk) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5hbhil70/input.p',i_0_87) ).
cnf(i_0_92,negated_conjecture,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk9_1(X1))
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xk) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5hbhil70/input.p',i_0_92) ).
cnf(i_0_15,plain,
( sdtasdt0(sz00,X1) = sz00
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5hbhil70/input.p',i_0_15) ).
cnf(c_0_117,plain,
( doDivides0(X1,X2)
| X2 != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
i_0_50 ).
cnf(c_0_118,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
i_0_14 ).
cnf(c_0_119,plain,
aNaturalNumber0(sz10),
i_0_4 ).
cnf(c_0_120,negated_conjecture,
( X1 = sz00
| X1 = sz10
| doDivides0(esk8_1(X1),X1)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xk) ),
i_0_90 ).
cnf(c_0_121,plain,
( doDivides0(X1,X1)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119])])]) ).
cnf(c_0_122,hypothesis,
aNaturalNumber0(xk),
i_0_68 ).
cnf(c_0_123,hypothesis,
xk != sz10,
i_0_78 ).
cnf(c_0_124,hypothesis,
sz00 != xk,
i_0_79 ).
cnf(c_0_125,negated_conjecture,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk8_1(X1))
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xk) ),
i_0_93 ).
cnf(c_0_126,plain,
( X1 = sz00
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
i_0_59 ).
cnf(c_0_127,negated_conjecture,
doDivides0(esk8_1(xk),xk),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122])]),c_0_123]),c_0_124]) ).
cnf(c_0_128,negated_conjecture,
aNaturalNumber0(esk8_1(xk)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_121]),c_0_122])]),c_0_123]),c_0_124]) ).
cnf(c_0_129,negated_conjecture,
( X1 = sz00
| X1 = sz10
| esk8_1(X1) != X1
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xk) ),
i_0_88 ).
cnf(c_0_130,negated_conjecture,
( X1 = sz00
| X1 = sz10
| esk8_1(X1) != sz10
| sdtasdt0(X1,X2) != xk
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_96 ).
cnf(c_0_131,plain,
( X1 = X2
| iLess0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_49 ).
cnf(c_0_132,plain,
sdtlseqdt0(esk8_1(xk),xk),
inference(sr,[status(thm)],[inference(cn,[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_122])]),c_0_124]) ).
cnf(c_0_133,negated_conjecture,
esk8_1(xk) != xk,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_121]),c_0_122])]),c_0_123]),c_0_124]) ).
cnf(c_0_134,plain,
( X1 = sz00
| X1 = sz10
| esk8_1(X1) != sz10
| X1 != xk
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_118]),c_0_119])]) ).
cnf(c_0_135,plain,
( doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3) ),
i_0_56 ).
cnf(c_0_136,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk4_1(X1),X1)
| ~ aNaturalNumber0(X1)
| ~ iLess0(X1,xk) ),
i_0_74 ).
cnf(c_0_137,plain,
iLess0(esk8_1(xk),xk),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_122]),c_0_128])]),c_0_133]) ).
cnf(c_0_138,plain,
esk8_1(xk) != sz10,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_134]),c_0_122])]),c_0_124]),c_0_123]) ).
cnf(c_0_139,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk4_1(X1))
| ~ aNaturalNumber0(X1)
| ~ iLess0(X1,xk) ),
i_0_77 ).
cnf(c_0_140,plain,
( doDivides0(X1,xk)
| ~ doDivides0(X1,esk8_1(xk))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_127]),c_0_128]),c_0_122])]) ).
cnf(c_0_141,hypothesis,
( esk8_1(xk) = sz00
| doDivides0(esk4_1(esk8_1(xk)),esk8_1(xk)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_128])]),c_0_138]) ).
cnf(c_0_142,hypothesis,
( esk8_1(xk) = sz00
| aNaturalNumber0(esk4_1(esk8_1(xk))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_137]),c_0_128])]),c_0_138]) ).
cnf(c_0_143,hypothesis,
( X1 = sz00
| X1 = sz10
| isPrime0(esk4_1(X1))
| ~ aNaturalNumber0(X1)
| ~ iLess0(X1,xk) ),
i_0_69 ).
cnf(c_0_144,negated_conjecture,
( X1 = sz00
| X1 = sz10
| sdtasdt0(esk8_1(X1),esk9_1(X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xk) ),
i_0_91 ).
cnf(c_0_145,negated_conjecture,
( ~ aNaturalNumber0(X1)
| ~ isPrime0(X1)
| ~ doDivides0(X1,xk) ),
i_0_87 ).
cnf(c_0_146,hypothesis,
( esk8_1(xk) = sz00
| doDivides0(esk4_1(esk8_1(xk)),xk) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_142]) ).
cnf(c_0_147,hypothesis,
( esk8_1(xk) = sz00
| isPrime0(esk4_1(esk8_1(xk))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_137]),c_0_128])]),c_0_138]) ).
cnf(c_0_148,negated_conjecture,
sdtasdt0(esk8_1(xk),esk9_1(xk)) = xk,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_121]),c_0_122])]),c_0_123]),c_0_124]) ).
cnf(c_0_149,negated_conjecture,
esk8_1(xk) = sz00,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_142]),c_0_147]) ).
cnf(c_0_150,negated_conjecture,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk9_1(X1))
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xk) ),
i_0_92 ).
cnf(c_0_151,plain,
( sdtasdt0(sz00,X1) = sz00
| ~ aNaturalNumber0(X1) ),
i_0_15 ).
cnf(c_0_152,negated_conjecture,
sdtasdt0(sz00,esk9_1(xk)) = xk,
inference(rw,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_153,negated_conjecture,
aNaturalNumber0(esk9_1(xk)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_121]),c_0_122])]),c_0_123]),c_0_124]) ).
cnf(c_0_154,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_153])]),c_0_124]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUM483+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jul 6 06:58:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 7.99/2.31 # ENIGMATIC: Solved by autoschedule:
% 7.99/2.31 # No SInE strategy applied
% 7.99/2.31 # Trying AutoSched0 for 150 seconds
% 7.99/2.31 # AutoSched0-Mode selected heuristic G_E___008_C45_F1_PI_AE_Q4_CS_SP_S4c
% 7.99/2.31 # and selection function SelectCQPrecWNTNp.
% 7.99/2.31 #
% 7.99/2.31 # Preprocessing time : 0.025 s
% 7.99/2.31
% 7.99/2.31 # Proof found!
% 7.99/2.31 # SZS status Theorem
% 7.99/2.31 # SZS output start CNFRefutation
% See solution above
% 7.99/2.31 # Training examples: 0 positive, 0 negative
% 7.99/2.31
% 7.99/2.31 # -------------------------------------------------
% 7.99/2.31 # User time : 0.049 s
% 7.99/2.31 # System time : 0.008 s
% 7.99/2.31 # Total time : 0.057 s
% 7.99/2.31 # Maximum resident set size: 7124 pages
% 7.99/2.31
%------------------------------------------------------------------------------