TSTP Solution File: NUM565+3 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM565+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n011.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 09:33:52 EDT 2022
% Result : Theorem 0.23s 3.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 50 ( 22 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 50 ( 15 ~; 9 |; 18 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
! [X1] :
( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& sbrdtbr0(X1) = sz00
& aElementOf0(X1,slbdtsldtrb0(xS,sz00)) )
=> ( ( aSet0(slcrc0)
& ~ ? [X2] : aElementOf0(X2,slcrc0) )
=> sdtlpdtrp0(xc,X1) = sdtlpdtrp0(xc,slcrc0) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__) ).
fof(mCardEmpty,axiom,
! [X1] :
( aSet0(X1)
=> ( sbrdtbr0(X1) = sz00
<=> X1 = slcrc0 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mCardEmpty) ).
fof(m__3462,hypothesis,
xK = sz00,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__3462) ).
fof(c_0_3,negated_conjecture,
~ ! [X1] :
( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& sbrdtbr0(X1) = sz00
& aElementOf0(X1,slbdtsldtrb0(xS,sz00)) )
=> ( ( aSet0(slcrc0)
& ~ ? [X2] : aElementOf0(X2,slcrc0) )
=> sdtlpdtrp0(xc,X1) = sdtlpdtrp0(xc,slcrc0) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_4,plain,
! [X2] :
( ( sbrdtbr0(X2) != sz00
| X2 = slcrc0
| ~ aSet0(X2) )
& ( X2 != slcrc0
| sbrdtbr0(X2) = sz00
| ~ aSet0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardEmpty])])]) ).
fof(c_0_5,negated_conjecture,
! [X4,X5] :
( aSet0(esk1_0)
& ( ~ aElementOf0(X4,esk1_0)
| aElementOf0(X4,xS) )
& aSubsetOf0(esk1_0,xS)
& sbrdtbr0(esk1_0) = sz00
& aElementOf0(esk1_0,slbdtsldtrb0(xS,sz00))
& aSet0(slcrc0)
& ~ aElementOf0(X5,slcrc0)
& sdtlpdtrp0(xc,esk1_0) != sdtlpdtrp0(xc,slcrc0) ),
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_3])])])])])]) ).
cnf(c_0_6,plain,
( X1 = slcrc0
| ~ aSet0(X1)
| sbrdtbr0(X1) != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,hypothesis,
xK = sz00,
inference(split_conjunct,[status(thm)],[m__3462]) ).
cnf(c_0_8,negated_conjecture,
sbrdtbr0(esk1_0) = sz00,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( X1 = slcrc0
| sbrdtbr0(X1) != xK
| ~ aSet0(X1) ),
inference(rw,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
sbrdtbr0(esk1_0) = xK,
inference(rw,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_11,negated_conjecture,
aSet0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
sdtlpdtrp0(xc,esk1_0) != sdtlpdtrp0(xc,slcrc0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
esk1_0 = slcrc0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
cnf(c_0_14,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM565+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n011.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 : Fri Jul 8 02:12:24 EDT 2022
% 0.18/0.33 % CPUTime :
% 0.23/3.41 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.23/3.41 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.23/3.41 # Preprocessing time : 0.245 s
% 0.23/3.41
% 0.23/3.41 # Proof found!
% 0.23/3.41 # SZS status Theorem
% 0.23/3.41 # SZS output start CNFRefutation
% See solution above
% 0.23/3.41 # Proof object total steps : 15
% 0.23/3.41 # Proof object clause steps : 9
% 0.23/3.41 # Proof object formula steps : 6
% 0.23/3.41 # Proof object conjectures : 9
% 0.23/3.41 # Proof object clause conjectures : 6
% 0.23/3.41 # Proof object formula conjectures : 3
% 0.23/3.41 # Proof object initial clauses used : 5
% 0.23/3.41 # Proof object initial formulas used : 3
% 0.23/3.41 # Proof object generating inferences : 1
% 0.23/3.41 # Proof object simplifying inferences : 6
% 0.23/3.41 # Training examples: 0 positive, 0 negative
% 0.23/3.41 # Parsed axioms : 80
% 0.23/3.41 # Removed by relevancy pruning/SinE : 26
% 0.23/3.41 # Initial clauses : 4080
% 0.23/3.41 # Removed in clause preprocessing : 6
% 0.23/3.41 # Initial clauses in saturation : 4074
% 0.23/3.41 # Processed clauses : 4083
% 0.23/3.41 # ...of these trivial : 2
% 0.23/3.41 # ...subsumed : 4
% 0.23/3.41 # ...remaining for further processing : 4077
% 0.23/3.41 # Other redundant clauses eliminated : 0
% 0.23/3.41 # Clauses deleted for lack of memory : 0
% 0.23/3.41 # Backward-subsumed : 0
% 0.23/3.41 # Backward-rewritten : 8
% 0.23/3.41 # Generated clauses : 626
% 0.23/3.41 # ...of the previous two non-trivial : 617
% 0.23/3.41 # Contextual simplify-reflections : 5
% 0.23/3.41 # Paramodulations : 624
% 0.23/3.41 # Factorizations : 0
% 0.23/3.41 # Equation resolutions : 2
% 0.23/3.41 # Current number of processed clauses : 4069
% 0.23/3.41 # Positive orientable unit clauses : 18
% 0.23/3.41 # Positive unorientable unit clauses: 0
% 0.23/3.41 # Negative unit clauses : 5
% 0.23/3.41 # Non-unit-clauses : 4046
% 0.23/3.41 # Current number of unprocessed clauses: 548
% 0.23/3.41 # ...number of literals in the above : 4880
% 0.23/3.41 # Current number of archived formulas : 0
% 0.23/3.41 # Current number of archived clauses : 8
% 0.23/3.41 # Clause-clause subsumption calls (NU) : 3209636
% 0.23/3.41 # Rec. Clause-clause subsumption calls : 52815
% 0.23/3.41 # Non-unit clause-clause subsumptions : 5
% 0.23/3.41 # Unit Clause-clause subsumption calls : 15581
% 0.23/3.41 # Rewrite failures with RHS unbound : 0
% 0.23/3.41 # BW rewrite match attempts : 2
% 0.23/3.41 # BW rewrite match successes : 2
% 0.23/3.41 # Condensation attempts : 0
% 0.23/3.41 # Condensation successes : 0
% 0.23/3.41 # Termbank termtop insertions : 569073
% 0.23/3.41
% 0.23/3.41 # -------------------------------------------------
% 0.23/3.41 # User time : 2.145 s
% 0.23/3.41 # System time : 0.016 s
% 0.23/3.41 # Total time : 2.161 s
% 0.23/3.41 # Maximum resident set size: 26204 pages
% 0.23/23.40 eprover: CPU time limit exceeded, terminating
% 0.23/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.41 eprover: No such file or directory
% 0.23/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.41 eprover: No such file or directory
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 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.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 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.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
%------------------------------------------------------------------------------