TSTP Solution File: NUM557+3 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM557+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n029.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 09:33:46 EDT 2022
% Result : Theorem 0.24s 1.41s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 3 unt; 0 def)
% Number of atoms : 30 ( 9 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 31 ( 10 ~; 9 |; 9 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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; 4 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( ( ! [X1] :
( aElementOf0(X1,xP)
=> aElementOf0(X1,xS) )
| aSubsetOf0(xP,xS) )
& sbrdtbr0(xP) = xk )
| aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(m__2431,hypothesis,
( ! [X1] :
( aElementOf0(X1,xP)
=> aElementOf0(X1,xS) )
& aSubsetOf0(xP,xS)
& sbrdtbr0(xP) = xk ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2431) ).
fof(c_0_2,negated_conjecture,
~ ( ( ( ! [X1] :
( aElementOf0(X1,xP)
=> aElementOf0(X1,xS) )
| aSubsetOf0(xP,xS) )
& sbrdtbr0(xP) = xk )
| aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_3,negated_conjecture,
( ( aElementOf0(esk5_0,xP)
| sbrdtbr0(xP) != xk )
& ( ~ aElementOf0(esk5_0,xS)
| sbrdtbr0(xP) != xk )
& ( ~ aSubsetOf0(xP,xS)
| sbrdtbr0(xP) != xk )
& ~ aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
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)],[c_0_2])])])])])]) ).
fof(c_0_4,hypothesis,
! [X2] :
( ( ~ aElementOf0(X2,xP)
| aElementOf0(X2,xS) )
& aSubsetOf0(xP,xS)
& sbrdtbr0(xP) = xk ),
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__2431])])])])]) ).
cnf(c_0_5,negated_conjecture,
( sbrdtbr0(xP) != xk
| ~ aSubsetOf0(xP,xS) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,hypothesis,
sbrdtbr0(xP) = xk,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,hypothesis,
aSubsetOf0(xP,xS),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6]),c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM557+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jul 7 07:03:29 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.24/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.41 # Preprocessing time : 0.024 s
% 0.24/1.41
% 0.24/1.41 # Proof found!
% 0.24/1.41 # SZS status Theorem
% 0.24/1.41 # SZS output start CNFRefutation
% See solution above
% 0.24/1.41 # Proof object total steps : 9
% 0.24/1.41 # Proof object clause steps : 4
% 0.24/1.41 # Proof object formula steps : 5
% 0.24/1.41 # Proof object conjectures : 5
% 0.24/1.41 # Proof object clause conjectures : 2
% 0.24/1.41 # Proof object formula conjectures : 3
% 0.24/1.41 # Proof object initial clauses used : 3
% 0.24/1.41 # Proof object initial formulas used : 2
% 0.24/1.41 # Proof object generating inferences : 0
% 0.24/1.41 # Proof object simplifying inferences : 3
% 0.24/1.41 # Training examples: 0 positive, 0 negative
% 0.24/1.41 # Parsed axioms : 73
% 0.24/1.41 # Removed by relevancy pruning/SinE : 5
% 0.24/1.41 # Initial clauses : 167
% 0.24/1.41 # Removed in clause preprocessing : 5
% 0.24/1.41 # Initial clauses in saturation : 162
% 0.24/1.41 # Processed clauses : 14
% 0.24/1.41 # ...of these trivial : 1
% 0.24/1.41 # ...subsumed : 2
% 0.24/1.41 # ...remaining for further processing : 10
% 0.24/1.41 # Other redundant clauses eliminated : 0
% 0.24/1.41 # Clauses deleted for lack of memory : 0
% 0.24/1.41 # Backward-subsumed : 0
% 0.24/1.41 # Backward-rewritten : 0
% 0.24/1.41 # Generated clauses : 0
% 0.24/1.41 # ...of the previous two non-trivial : 0
% 0.24/1.41 # Contextual simplify-reflections : 0
% 0.24/1.41 # Paramodulations : 0
% 0.24/1.41 # Factorizations : 0
% 0.24/1.41 # Equation resolutions : 0
% 0.24/1.41 # Current number of processed clauses : 10
% 0.24/1.41 # Positive orientable unit clauses : 5
% 0.24/1.41 # Positive unorientable unit clauses: 0
% 0.24/1.41 # Negative unit clauses : 4
% 0.24/1.41 # Non-unit-clauses : 1
% 0.24/1.41 # Current number of unprocessed clauses: 148
% 0.24/1.41 # ...number of literals in the above : 494
% 0.24/1.41 # Current number of archived formulas : 0
% 0.24/1.41 # Current number of archived clauses : 0
% 0.24/1.41 # Clause-clause subsumption calls (NU) : 1
% 0.24/1.41 # Rec. Clause-clause subsumption calls : 1
% 0.24/1.41 # Non-unit clause-clause subsumptions : 1
% 0.24/1.41 # Unit Clause-clause subsumption calls : 2
% 0.24/1.41 # Rewrite failures with RHS unbound : 0
% 0.24/1.41 # BW rewrite match attempts : 0
% 0.24/1.41 # BW rewrite match successes : 0
% 0.24/1.41 # Condensation attempts : 0
% 0.24/1.41 # Condensation successes : 0
% 0.24/1.41 # Termbank termtop insertions : 9936
% 0.24/1.41
% 0.24/1.41 # -------------------------------------------------
% 0.24/1.41 # User time : 0.023 s
% 0.24/1.41 # System time : 0.001 s
% 0.24/1.41 # Total time : 0.024 s
% 0.24/1.41 # Maximum resident set size: 3308 pages
%------------------------------------------------------------------------------