TSTP Solution File: NUM560+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM560+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n027.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 09:33:49 EDT 2022
% Result : Theorem 0.22s 1.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 3 unt; 0 def)
% Number of atoms : 30 ( 4 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 32 ( 9 ~; 7 |; 10 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 1 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( aSet0(sdtlbdtrb0(xF,xy))
& ! [X1] :
( aElementOf0(X1,sdtlbdtrb0(xF,xy))
<=> ( aElementOf0(X1,szDzozmdt0(xF))
& sdtlpdtrp0(xF,X1) = xy ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtlbdtrb0(xF,xy))
=> aElementOf0(X1,szDzozmdt0(xF)) )
| aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(c_0_1,negated_conjecture,
~ ( ( aSet0(sdtlbdtrb0(xF,xy))
& ! [X1] :
( aElementOf0(X1,sdtlbdtrb0(xF,xy))
<=> ( aElementOf0(X1,szDzozmdt0(xF))
& sdtlpdtrp0(xF,X1) = xy ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtlbdtrb0(xF,xy))
=> aElementOf0(X1,szDzozmdt0(xF)) )
| aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_2,negated_conjecture,
! [X2,X2] :
( aSet0(sdtlbdtrb0(xF,xy))
& ( aElementOf0(X2,szDzozmdt0(xF))
| ~ aElementOf0(X2,sdtlbdtrb0(xF,xy)) )
& ( sdtlpdtrp0(xF,X2) = xy
| ~ aElementOf0(X2,sdtlbdtrb0(xF,xy)) )
& ( ~ aElementOf0(X2,szDzozmdt0(xF))
| sdtlpdtrp0(xF,X2) != xy
| aElementOf0(X2,sdtlbdtrb0(xF,xy)) )
& aElementOf0(esk1_0,sdtlbdtrb0(xF,xy))
& ~ aElementOf0(esk1_0,szDzozmdt0(xF))
& ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ),
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_1])])])])])])]) ).
cnf(c_0_3,negated_conjecture,
~ aElementOf0(esk1_0,szDzozmdt0(xF)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( aElementOf0(X1,szDzozmdt0(xF))
| ~ aElementOf0(X1,sdtlbdtrb0(xF,xy)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
aElementOf0(esk1_0,sdtlbdtrb0(xF,xy)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM560+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 5 12:18:12 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.22/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.41 # Preprocessing time : 0.019 s
% 0.22/1.41
% 0.22/1.41 # Proof found!
% 0.22/1.41 # SZS status Theorem
% 0.22/1.41 # SZS output start CNFRefutation
% See solution above
% 0.22/1.41 # Proof object total steps : 7
% 0.22/1.41 # Proof object clause steps : 4
% 0.22/1.41 # Proof object formula steps : 3
% 0.22/1.41 # Proof object conjectures : 7
% 0.22/1.41 # Proof object clause conjectures : 4
% 0.22/1.41 # Proof object formula conjectures : 3
% 0.22/1.41 # Proof object initial clauses used : 3
% 0.22/1.41 # Proof object initial formulas used : 1
% 0.22/1.41 # Proof object generating inferences : 1
% 0.22/1.41 # Proof object simplifying inferences : 2
% 0.22/1.41 # Training examples: 0 positive, 0 negative
% 0.22/1.41 # Parsed axioms : 68
% 0.22/1.41 # Removed by relevancy pruning/SinE : 53
% 0.22/1.41 # Initial clauses : 31
% 0.22/1.41 # Removed in clause preprocessing : 4
% 0.22/1.41 # Initial clauses in saturation : 27
% 0.22/1.41 # Processed clauses : 8
% 0.22/1.41 # ...of these trivial : 0
% 0.22/1.41 # ...subsumed : 0
% 0.22/1.41 # ...remaining for further processing : 8
% 0.22/1.41 # Other redundant clauses eliminated : 0
% 0.22/1.41 # Clauses deleted for lack of memory : 0
% 0.22/1.41 # Backward-subsumed : 0
% 0.22/1.41 # Backward-rewritten : 0
% 0.22/1.41 # Generated clauses : 1
% 0.22/1.41 # ...of the previous two non-trivial : 0
% 0.22/1.41 # Contextual simplify-reflections : 0
% 0.22/1.41 # Paramodulations : 1
% 0.22/1.41 # Factorizations : 0
% 0.22/1.41 # Equation resolutions : 0
% 0.22/1.41 # Current number of processed clauses : 8
% 0.22/1.41 # Positive orientable unit clauses : 4
% 0.22/1.41 # Positive unorientable unit clauses: 0
% 0.22/1.41 # Negative unit clauses : 2
% 0.22/1.41 # Non-unit-clauses : 2
% 0.22/1.41 # Current number of unprocessed clauses: 19
% 0.22/1.41 # ...number of literals in the above : 82
% 0.22/1.41 # Current number of archived formulas : 0
% 0.22/1.41 # Current number of archived clauses : 0
% 0.22/1.41 # Clause-clause subsumption calls (NU) : 0
% 0.22/1.41 # Rec. Clause-clause subsumption calls : 0
% 0.22/1.41 # Non-unit clause-clause subsumptions : 0
% 0.22/1.41 # Unit Clause-clause subsumption calls : 0
% 0.22/1.41 # Rewrite failures with RHS unbound : 0
% 0.22/1.41 # BW rewrite match attempts : 0
% 0.22/1.41 # BW rewrite match successes : 0
% 0.22/1.41 # Condensation attempts : 0
% 0.22/1.41 # Condensation successes : 0
% 0.22/1.41 # Termbank termtop insertions : 2680
% 0.22/1.41
% 0.22/1.41 # -------------------------------------------------
% 0.22/1.41 # User time : 0.017 s
% 0.22/1.41 # System time : 0.002 s
% 0.22/1.41 # Total time : 0.019 s
% 0.22/1.41 # Maximum resident set size: 2824 pages
%------------------------------------------------------------------------------