TSTP Solution File: NUM548+3 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM548+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.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 09:33:40 EDT 2022
% Result : Theorem 0.29s 1.47s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 9 unt; 0 def)
% Number of atoms : 33 ( 3 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 29 ( 10 ~; 7 |; 9 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
isFinite0(xQ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(mCardNum,axiom,
! [X1] :
( aSet0(X1)
=> ( aElementOf0(sbrdtbr0(X1),szNzAzT0)
<=> isFinite0(X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mCardNum) ).
fof(m__2270,hypothesis,
( aSet0(xQ)
& ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,xS) )
& aSubsetOf0(xQ,xS)
& sbrdtbr0(xQ) = xk
& aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2270) ).
fof(m__2202,hypothesis,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2202) ).
fof(c_0_4,negated_conjecture,
~ isFinite0(xQ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_5,negated_conjecture,
~ isFinite0(xQ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_6,plain,
! [X2] :
( ( ~ aElementOf0(sbrdtbr0(X2),szNzAzT0)
| isFinite0(X2)
| ~ aSet0(X2) )
& ( ~ isFinite0(X2)
| aElementOf0(sbrdtbr0(X2),szNzAzT0)
| ~ aSet0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardNum])])]) ).
fof(c_0_7,hypothesis,
! [X2] :
( aSet0(xQ)
& ( ~ aElementOf0(X2,xQ)
| aElementOf0(X2,xS) )
& aSubsetOf0(xQ,xS)
& sbrdtbr0(xQ) = xk
& aElementOf0(xQ,slbdtsldtrb0(xS,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__2270])])])])]) ).
cnf(c_0_8,negated_conjecture,
~ isFinite0(xQ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( isFinite0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,hypothesis,
sbrdtbr0(xQ) = xk,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,hypothesis,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__2202]) ).
cnf(c_0_12,hypothesis,
aSet0(xQ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_11]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14 % Problem : NUM548+3 : TPTP v8.1.0. Released v4.0.0.
% 0.05/0.15 % Command : run_ET %s %d
% 0.15/0.37 % Computer : n020.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Thu Jul 7 02:20:29 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.29/1.47 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.29/1.47 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.29/1.47 # Preprocessing time : 0.025 s
% 0.29/1.47
% 0.29/1.47 # Proof found!
% 0.29/1.47 # SZS status Theorem
% 0.29/1.47 # SZS output start CNFRefutation
% See solution above
% 0.29/1.47 # Proof object total steps : 14
% 0.29/1.47 # Proof object clause steps : 6
% 0.29/1.47 # Proof object formula steps : 8
% 0.29/1.47 # Proof object conjectures : 5
% 0.29/1.47 # Proof object clause conjectures : 2
% 0.29/1.47 # Proof object formula conjectures : 3
% 0.29/1.47 # Proof object initial clauses used : 5
% 0.29/1.47 # Proof object initial formulas used : 4
% 0.29/1.47 # Proof object generating inferences : 1
% 0.29/1.47 # Proof object simplifying inferences : 4
% 0.29/1.47 # Training examples: 0 positive, 0 negative
% 0.29/1.47 # Parsed axioms : 66
% 0.29/1.47 # Removed by relevancy pruning/SinE : 5
% 0.29/1.47 # Initial clauses : 137
% 0.29/1.47 # Removed in clause preprocessing : 5
% 0.29/1.47 # Initial clauses in saturation : 132
% 0.29/1.47 # Processed clauses : 34
% 0.29/1.47 # ...of these trivial : 0
% 0.29/1.47 # ...subsumed : 1
% 0.29/1.47 # ...remaining for further processing : 33
% 0.29/1.47 # Other redundant clauses eliminated : 0
% 0.29/1.47 # Clauses deleted for lack of memory : 0
% 0.29/1.47 # Backward-subsumed : 0
% 0.29/1.47 # Backward-rewritten : 0
% 0.29/1.47 # Generated clauses : 20
% 0.29/1.47 # ...of the previous two non-trivial : 17
% 0.29/1.47 # Contextual simplify-reflections : 2
% 0.29/1.47 # Paramodulations : 20
% 0.29/1.47 # Factorizations : 0
% 0.29/1.47 # Equation resolutions : 0
% 0.29/1.47 # Current number of processed clauses : 33
% 0.29/1.47 # Positive orientable unit clauses : 17
% 0.29/1.47 # Positive unorientable unit clauses: 0
% 0.29/1.47 # Negative unit clauses : 3
% 0.29/1.47 # Non-unit-clauses : 13
% 0.29/1.47 # Current number of unprocessed clauses: 115
% 0.29/1.47 # ...number of literals in the above : 426
% 0.29/1.47 # Current number of archived formulas : 0
% 0.29/1.47 # Current number of archived clauses : 0
% 0.29/1.47 # Clause-clause subsumption calls (NU) : 40
% 0.29/1.47 # Rec. Clause-clause subsumption calls : 29
% 0.29/1.47 # Non-unit clause-clause subsumptions : 3
% 0.29/1.47 # Unit Clause-clause subsumption calls : 8
% 0.29/1.47 # Rewrite failures with RHS unbound : 0
% 0.29/1.47 # BW rewrite match attempts : 0
% 0.29/1.47 # BW rewrite match successes : 0
% 0.29/1.47 # Condensation attempts : 0
% 0.29/1.47 # Condensation successes : 0
% 0.29/1.47 # Termbank termtop insertions : 9036
% 0.29/1.47
% 0.29/1.47 # -------------------------------------------------
% 0.29/1.47 # User time : 0.023 s
% 0.29/1.47 # System time : 0.004 s
% 0.29/1.47 # Total time : 0.027 s
% 0.29/1.47 # Maximum resident set size: 3296 pages
%------------------------------------------------------------------------------