TSTP Solution File: NUM519+3 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM519+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n024.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 09:33:20 EDT 2022
% Result : Theorem 0.25s 1.42s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 41 ( 12 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 41 ( 10 ~; 15 |; 16 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 2 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__2449,hypothesis,
( ( ? [X1] :
( aNaturalNumber0(X1)
& xn = sdtasdt0(xr,X1) )
& doDivides0(xr,xn) )
| ( ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xr,X1) )
& doDivides0(xr,xm) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2449) ).
fof(m__2487,hypothesis,
~ ( ? [X1] :
( aNaturalNumber0(X1)
& xn = sdtasdt0(xr,X1) )
| doDivides0(xr,xn) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2487) ).
fof(m__2698,hypothesis,
~ ( ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xr,X1) )
| doDivides0(xr,xm) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2698) ).
fof(c_0_3,hypothesis,
( ( aNaturalNumber0(esk13_0)
| aNaturalNumber0(esk12_0) )
& ( xm = sdtasdt0(xr,esk13_0)
| aNaturalNumber0(esk12_0) )
& ( doDivides0(xr,xm)
| aNaturalNumber0(esk12_0) )
& ( aNaturalNumber0(esk13_0)
| xn = sdtasdt0(xr,esk12_0) )
& ( xm = sdtasdt0(xr,esk13_0)
| xn = sdtasdt0(xr,esk12_0) )
& ( doDivides0(xr,xm)
| xn = sdtasdt0(xr,esk12_0) )
& ( aNaturalNumber0(esk13_0)
| doDivides0(xr,xn) )
& ( xm = sdtasdt0(xr,esk13_0)
| doDivides0(xr,xn) )
& ( doDivides0(xr,xm)
| doDivides0(xr,xn) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[m__2449])])])])]) ).
fof(c_0_4,hypothesis,
! [X2] :
( ( ~ aNaturalNumber0(X2)
| xn != sdtasdt0(xr,X2) )
& ~ doDivides0(xr,xn) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2487])])])])]) ).
fof(c_0_5,hypothesis,
! [X2] :
( ( ~ aNaturalNumber0(X2)
| xm != sdtasdt0(xr,X2) )
& ~ doDivides0(xr,xm) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2698])])])])]) ).
cnf(c_0_6,hypothesis,
( doDivides0(xr,xn)
| doDivides0(xr,xm) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,hypothesis,
~ doDivides0(xr,xn),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,hypothesis,
~ doDivides0(xr,xm),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_6,c_0_7]),c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM519+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n024.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 : Wed Jul 6 08:19:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.25/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.42 # Preprocessing time : 0.029 s
% 0.25/1.42
% 0.25/1.42 # Proof found!
% 0.25/1.42 # SZS status Theorem
% 0.25/1.42 # SZS output start CNFRefutation
% See solution above
% 0.25/1.42 # Proof object total steps : 10
% 0.25/1.42 # Proof object clause steps : 4
% 0.25/1.42 # Proof object formula steps : 6
% 0.25/1.42 # Proof object conjectures : 0
% 0.25/1.42 # Proof object clause conjectures : 0
% 0.25/1.42 # Proof object formula conjectures : 0
% 0.25/1.42 # Proof object initial clauses used : 3
% 0.25/1.42 # Proof object initial formulas used : 3
% 0.25/1.42 # Proof object generating inferences : 0
% 0.25/1.42 # Proof object simplifying inferences : 2
% 0.25/1.42 # Training examples: 0 positive, 0 negative
% 0.25/1.42 # Parsed axioms : 54
% 0.25/1.42 # Removed by relevancy pruning/SinE : 1
% 0.25/1.42 # Initial clauses : 258
% 0.25/1.42 # Removed in clause preprocessing : 3
% 0.25/1.42 # Initial clauses in saturation : 255
% 0.25/1.42 # Processed clauses : 57
% 0.25/1.42 # ...of these trivial : 0
% 0.25/1.42 # ...subsumed : 2
% 0.25/1.42 # ...remaining for further processing : 54
% 0.25/1.42 # Other redundant clauses eliminated : 0
% 0.25/1.42 # Clauses deleted for lack of memory : 0
% 0.25/1.42 # Backward-subsumed : 0
% 0.25/1.42 # Backward-rewritten : 1
% 0.25/1.42 # Generated clauses : 6
% 0.25/1.42 # ...of the previous two non-trivial : 6
% 0.25/1.42 # Contextual simplify-reflections : 0
% 0.25/1.42 # Paramodulations : 6
% 0.25/1.42 # Factorizations : 0
% 0.25/1.42 # Equation resolutions : 0
% 0.25/1.42 # Current number of processed clauses : 53
% 0.25/1.42 # Positive orientable unit clauses : 31
% 0.25/1.42 # Positive unorientable unit clauses: 0
% 0.25/1.42 # Negative unit clauses : 16
% 0.25/1.42 # Non-unit-clauses : 6
% 0.25/1.42 # Current number of unprocessed clauses: 204
% 0.25/1.42 # ...number of literals in the above : 1602
% 0.25/1.42 # Current number of archived formulas : 0
% 0.25/1.42 # Current number of archived clauses : 1
% 0.25/1.42 # Clause-clause subsumption calls (NU) : 14
% 0.25/1.42 # Rec. Clause-clause subsumption calls : 14
% 0.25/1.42 # Non-unit clause-clause subsumptions : 0
% 0.25/1.42 # Unit Clause-clause subsumption calls : 86
% 0.25/1.42 # Rewrite failures with RHS unbound : 0
% 0.25/1.42 # BW rewrite match attempts : 1
% 0.25/1.42 # BW rewrite match successes : 1
% 0.25/1.42 # Condensation attempts : 0
% 0.25/1.42 # Condensation successes : 0
% 0.25/1.42 # Termbank termtop insertions : 15020
% 0.25/1.42
% 0.25/1.42 # -------------------------------------------------
% 0.25/1.42 # User time : 0.025 s
% 0.25/1.42 # System time : 0.005 s
% 0.25/1.42 # Total time : 0.030 s
% 0.25/1.42 # Maximum resident set size: 3716 pages
% 0.26/23.43 eprover: CPU time limit exceeded, terminating
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------