TSTP Solution File: NUM500+3 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM500+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n017.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 09:33:07 EDT 2022
% Result : Theorem 0.23s 1.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 4 unt; 0 def)
% Number of atoms : 147 ( 73 equ)
% Maximal formula atoms : 73 ( 8 avg)
% Number of connectives : 194 ( 64 ~; 89 |; 38 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 3 ( 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 : 18 ( 0 sgn 6 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
? [X1] :
( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& xk = sdtasdt0(X1,X2) )
| doDivides0(X1,xk) )
& ( ( X1 != sz00
& X1 != sz10
& ! [X2] :
( ( aNaturalNumber0(X2)
& ? [X3] :
( aNaturalNumber0(X3)
& X1 = sdtasdt0(X2,X3) )
& doDivides0(X2,X1) )
=> ( X2 = sz10
| X2 = X1 ) ) )
| isPrime0(X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(mPrimDiv,axiom,
! [X1] :
( ( aNaturalNumber0(X1)
& X1 != sz00
& X1 != sz10 )
=> ? [X2] :
( aNaturalNumber0(X2)
& doDivides0(X2,X1)
& isPrime0(X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mPrimDiv) ).
fof(m__2315,hypothesis,
~ ( xk = sz00
| xk = sz10 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2315) ).
fof(m__2306,hypothesis,
( aNaturalNumber0(xk)
& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
& xk = sdtsldt0(sdtasdt0(xn,xm),xp) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2306) ).
fof(c_0_4,negated_conjecture,
~ ? [X1] :
( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& xk = sdtasdt0(X1,X2) )
| doDivides0(X1,xk) )
& ( ( X1 != sz00
& X1 != sz10
& ! [X2] :
( ( aNaturalNumber0(X2)
& ? [X3] :
( aNaturalNumber0(X3)
& X1 = sdtasdt0(X2,X3) )
& doDivides0(X2,X1) )
=> ( X2 = sz10
| X2 = X1 ) ) )
| isPrime0(X1) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_5,negated_conjecture,
! [X4,X5] :
( ( aNaturalNumber0(esk8_1(X4))
| X4 = sz00
| X4 = sz10
| ~ aNaturalNumber0(X5)
| xk != sdtasdt0(X4,X5)
| ~ aNaturalNumber0(X4) )
& ( aNaturalNumber0(esk9_1(X4))
| X4 = sz00
| X4 = sz10
| ~ aNaturalNumber0(X5)
| xk != sdtasdt0(X4,X5)
| ~ aNaturalNumber0(X4) )
& ( X4 = sdtasdt0(esk8_1(X4),esk9_1(X4))
| X4 = sz00
| X4 = sz10
| ~ aNaturalNumber0(X5)
| xk != sdtasdt0(X4,X5)
| ~ aNaturalNumber0(X4) )
& ( doDivides0(esk8_1(X4),X4)
| X4 = sz00
| X4 = sz10
| ~ aNaturalNumber0(X5)
| xk != sdtasdt0(X4,X5)
| ~ aNaturalNumber0(X4) )
& ( esk8_1(X4) != sz10
| X4 = sz00
| X4 = sz10
| ~ aNaturalNumber0(X5)
| xk != sdtasdt0(X4,X5)
| ~ aNaturalNumber0(X4) )
& ( esk8_1(X4) != X4
| X4 = sz00
| X4 = sz10
| ~ aNaturalNumber0(X5)
| xk != sdtasdt0(X4,X5)
| ~ aNaturalNumber0(X4) )
& ( ~ isPrime0(X4)
| ~ aNaturalNumber0(X5)
| xk != sdtasdt0(X4,X5)
| ~ aNaturalNumber0(X4) )
& ( aNaturalNumber0(esk8_1(X4))
| X4 = sz00
| X4 = sz10
| ~ doDivides0(X4,xk)
| ~ aNaturalNumber0(X4) )
& ( aNaturalNumber0(esk9_1(X4))
| X4 = sz00
| X4 = sz10
| ~ doDivides0(X4,xk)
| ~ aNaturalNumber0(X4) )
& ( X4 = sdtasdt0(esk8_1(X4),esk9_1(X4))
| X4 = sz00
| X4 = sz10
| ~ doDivides0(X4,xk)
| ~ aNaturalNumber0(X4) )
& ( doDivides0(esk8_1(X4),X4)
| X4 = sz00
| X4 = sz10
| ~ doDivides0(X4,xk)
| ~ aNaturalNumber0(X4) )
& ( esk8_1(X4) != sz10
| X4 = sz00
| X4 = sz10
| ~ doDivides0(X4,xk)
| ~ aNaturalNumber0(X4) )
& ( esk8_1(X4) != X4
| X4 = sz00
| X4 = sz10
| ~ doDivides0(X4,xk)
| ~ aNaturalNumber0(X4) )
& ( ~ isPrime0(X4)
| ~ doDivides0(X4,xk)
| ~ aNaturalNumber0(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])])])]) ).
fof(c_0_6,plain,
! [X3] :
( ( aNaturalNumber0(esk13_1(X3))
| ~ aNaturalNumber0(X3)
| X3 = sz00
| X3 = sz10 )
& ( doDivides0(esk13_1(X3),X3)
| ~ aNaturalNumber0(X3)
| X3 = sz00
| X3 = sz10 )
& ( isPrime0(esk13_1(X3))
| ~ aNaturalNumber0(X3)
| X3 = sz00
| X3 = sz10 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPrimDiv])])])])])]) ).
cnf(c_0_7,negated_conjecture,
( ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xk)
| ~ isPrime0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( X1 = sz10
| X1 = sz00
| isPrime0(esk13_1(X1))
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( X1 = sz10
| X1 = sz00
| aNaturalNumber0(esk13_1(X1))
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,hypothesis,
( xk != sz00
& xk != sz10 ),
inference(fof_nnf,[status(thm)],[m__2315]) ).
cnf(c_0_11,negated_conjecture,
( X1 = sz00
| X1 = sz10
| ~ doDivides0(esk13_1(X1),xk)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).
cnf(c_0_12,plain,
( X1 = sz10
| X1 = sz00
| doDivides0(esk13_1(X1),X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,hypothesis,
aNaturalNumber0(xk),
inference(split_conjunct,[status(thm)],[m__2306]) ).
cnf(c_0_14,hypothesis,
xk != sz00,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,hypothesis,
xk != sz10,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),c_0_14]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM500+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n017.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 : Thu Jul 7 01:18:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.23/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.42 # Preprocessing time : 0.049 s
% 0.23/1.42
% 0.23/1.42 # Proof found!
% 0.23/1.42 # SZS status Theorem
% 0.23/1.42 # SZS output start CNFRefutation
% See solution above
% 0.23/1.42 # Proof object total steps : 17
% 0.23/1.42 # Proof object clause steps : 9
% 0.23/1.42 # Proof object formula steps : 8
% 0.23/1.42 # Proof object conjectures : 6
% 0.23/1.42 # Proof object clause conjectures : 3
% 0.23/1.42 # Proof object formula conjectures : 3
% 0.23/1.42 # Proof object initial clauses used : 7
% 0.23/1.42 # Proof object initial formulas used : 4
% 0.23/1.42 # Proof object generating inferences : 2
% 0.23/1.42 # Proof object simplifying inferences : 5
% 0.23/1.42 # Training examples: 0 positive, 0 negative
% 0.23/1.42 # Parsed axioms : 48
% 0.23/1.42 # Removed by relevancy pruning/SinE : 1
% 0.23/1.42 # Initial clauses : 237
% 0.23/1.42 # Removed in clause preprocessing : 3
% 0.23/1.42 # Initial clauses in saturation : 234
% 0.23/1.42 # Processed clauses : 375
% 0.23/1.42 # ...of these trivial : 7
% 0.23/1.42 # ...subsumed : 91
% 0.23/1.42 # ...remaining for further processing : 277
% 0.23/1.42 # Other redundant clauses eliminated : 62
% 0.23/1.42 # Clauses deleted for lack of memory : 0
% 0.23/1.42 # Backward-subsumed : 0
% 0.23/1.42 # Backward-rewritten : 13
% 0.23/1.42 # Generated clauses : 6388
% 0.23/1.42 # ...of the previous two non-trivial : 6268
% 0.23/1.42 # Contextual simplify-reflections : 15
% 0.23/1.42 # Paramodulations : 6265
% 0.23/1.42 # Factorizations : 0
% 0.23/1.42 # Equation resolutions : 123
% 0.23/1.42 # Current number of processed clauses : 263
% 0.23/1.42 # Positive orientable unit clauses : 25
% 0.23/1.42 # Positive unorientable unit clauses: 0
% 0.23/1.42 # Negative unit clauses : 17
% 0.23/1.42 # Non-unit-clauses : 221
% 0.23/1.42 # Current number of unprocessed clauses: 5492
% 0.23/1.42 # ...number of literals in the above : 78723
% 0.23/1.42 # Current number of archived formulas : 0
% 0.23/1.42 # Current number of archived clauses : 13
% 0.23/1.42 # Clause-clause subsumption calls (NU) : 30242
% 0.23/1.42 # Rec. Clause-clause subsumption calls : 692
% 0.23/1.42 # Non-unit clause-clause subsumptions : 34
% 0.23/1.42 # Unit Clause-clause subsumption calls : 1901
% 0.23/1.42 # Rewrite failures with RHS unbound : 0
% 0.23/1.42 # BW rewrite match attempts : 2
% 0.23/1.42 # BW rewrite match successes : 2
% 0.23/1.42 # Condensation attempts : 0
% 0.23/1.42 # Condensation successes : 0
% 0.23/1.42 # Termbank termtop insertions : 251243
% 0.23/1.42
% 0.23/1.42 # -------------------------------------------------
% 0.23/1.42 # User time : 0.814 s
% 0.23/1.42 # System time : 0.004 s
% 0.23/1.42 # Total time : 0.818 s
% 0.23/1.42 # Maximum resident set size: 10564 pages
% 0.23/23.42 eprover: CPU time limit exceeded, terminating
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------