TSTP Solution File: NUM552+3 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM552+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n018.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 09:33:43 EDT 2022
% Result : Theorem 0.24s 1.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 140 ( 22 equ)
% Maximal formula atoms : 67 ( 9 avg)
% Number of connectives : 173 ( 48 ~; 49 |; 59 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 27 ( 3 sgn 22 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__2227,hypothesis,
( aSet0(slbdtsldtrb0(xS,xk))
& ! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(xS,xk))
=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& sbrdtbr0(X1) = xk ) )
& ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) ) )
| aSubsetOf0(X1,xS) )
& sbrdtbr0(X1) = xk )
=> aElementOf0(X1,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(xT,xk))
=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xT) )
& aSubsetOf0(X1,xT)
& sbrdtbr0(X1) = xk ) )
& ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xT) ) )
| aSubsetOf0(X1,xT) )
& sbrdtbr0(X1) = xk )
=> aElementOf0(X1,slbdtsldtrb0(xT,xk)) ) )
& ! [X1] :
( aElementOf0(X1,slbdtsldtrb0(xS,xk))
=> aElementOf0(X1,slbdtsldtrb0(xT,xk)) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ~ ( ! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(xS,xk))
=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& sbrdtbr0(X1) = xk ) )
& ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) ) )
| aSubsetOf0(X1,xS) )
& sbrdtbr0(X1) = xk )
=> aElementOf0(X1,slbdtsldtrb0(xS,xk)) ) )
=> ( ~ ? [X1] : aElementOf0(X1,slbdtsldtrb0(xS,xk))
| slbdtsldtrb0(xS,xk) = slcrc0 ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2227) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2270) ).
fof(m__,conjecture,
( aElementOf0(xx,xQ)
=> aElementOf0(xx,xT) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(c_0_3,hypothesis,
! [X3,X4,X3,X6,X7,X6,X9,X10,X11,X10] :
( aSet0(slbdtsldtrb0(xS,xk))
& ( aSet0(X3)
| ~ aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& ( ~ aElementOf0(X4,X3)
| aElementOf0(X4,xS)
| ~ aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& ( aSubsetOf0(X3,xS)
| ~ aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& ( sbrdtbr0(X3) = xk
| ~ aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(esk1_1(X3),X3)
| ~ aSet0(X3)
| sbrdtbr0(X3) != xk
| aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& ( ~ aElementOf0(esk1_1(X3),xS)
| ~ aSet0(X3)
| sbrdtbr0(X3) != xk
| aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& ( ~ aSubsetOf0(X3,xS)
| sbrdtbr0(X3) != xk
| aElementOf0(X3,slbdtsldtrb0(xS,xk)) )
& aSet0(slbdtsldtrb0(xT,xk))
& ( aSet0(X6)
| ~ aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( ~ aElementOf0(X7,X6)
| aElementOf0(X7,xT)
| ~ aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( aSubsetOf0(X6,xT)
| ~ aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( sbrdtbr0(X6) = xk
| ~ aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( aElementOf0(esk2_1(X6),X6)
| ~ aSet0(X6)
| sbrdtbr0(X6) != xk
| aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( ~ aElementOf0(esk2_1(X6),xT)
| ~ aSet0(X6)
| sbrdtbr0(X6) != xk
| aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( ~ aSubsetOf0(X6,xT)
| sbrdtbr0(X6) != xk
| aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& ( ~ aElementOf0(X9,slbdtsldtrb0(xS,xk))
| aElementOf0(X9,slbdtsldtrb0(xT,xk)) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ( aSet0(X10)
| ~ aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& ( ~ aElementOf0(X11,X10)
| aElementOf0(X11,xS)
| ~ aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& ( aSubsetOf0(X10,xS)
| ~ aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& ( sbrdtbr0(X10) = xk
| ~ aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(esk3_1(X10),X10)
| ~ aSet0(X10)
| sbrdtbr0(X10) != xk
| aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& ( ~ aElementOf0(esk3_1(X10),xS)
| ~ aSet0(X10)
| sbrdtbr0(X10) != xk
| aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& ( ~ aSubsetOf0(X10,xS)
| sbrdtbr0(X10) != xk
| aElementOf0(X10,slbdtsldtrb0(xS,xk)) )
& aElementOf0(esk4_0,slbdtsldtrb0(xS,xk))
& slbdtsldtrb0(xS,xk) != slcrc0 ),
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)],[m__2227])])])])])])]) ).
fof(c_0_4,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])])])])]) ).
fof(c_0_5,negated_conjecture,
~ ( aElementOf0(xx,xQ)
=> aElementOf0(xx,xT) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_6,hypothesis,
( aElementOf0(X1,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,hypothesis,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_8,negated_conjecture,
( aElementOf0(xx,xQ)
& ~ aElementOf0(xx,xT) ),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
cnf(c_0_9,hypothesis,
( aElementOf0(X2,xT)
| ~ aElementOf0(X1,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_10,hypothesis,
aElementOf0(xQ,slbdtsldtrb0(xT,xk)),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,negated_conjecture,
~ aElementOf0(xx,xT),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,hypothesis,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,xQ) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
aElementOf0(xx,xQ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM552+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n018.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 11:17:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.24/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.42 # Preprocessing time : 0.023 s
% 0.24/1.42
% 0.24/1.42 # Proof found!
% 0.24/1.42 # SZS status Theorem
% 0.24/1.42 # SZS output start CNFRefutation
% See solution above
% 0.24/1.42 # Proof object total steps : 15
% 0.24/1.42 # Proof object clause steps : 8
% 0.24/1.42 # Proof object formula steps : 7
% 0.24/1.42 # Proof object conjectures : 6
% 0.24/1.42 # Proof object clause conjectures : 3
% 0.24/1.42 # Proof object formula conjectures : 3
% 0.24/1.42 # Proof object initial clauses used : 5
% 0.24/1.42 # Proof object initial formulas used : 3
% 0.24/1.42 # Proof object generating inferences : 3
% 0.24/1.42 # Proof object simplifying inferences : 2
% 0.24/1.42 # Training examples: 0 positive, 0 negative
% 0.24/1.42 # Parsed axioms : 68
% 0.24/1.42 # Removed by relevancy pruning/SinE : 5
% 0.24/1.42 # Initial clauses : 143
% 0.24/1.42 # Removed in clause preprocessing : 5
% 0.24/1.42 # Initial clauses in saturation : 138
% 0.24/1.42 # Processed clauses : 173
% 0.24/1.42 # ...of these trivial : 4
% 0.24/1.42 # ...subsumed : 18
% 0.24/1.42 # ...remaining for further processing : 151
% 0.24/1.42 # Other redundant clauses eliminated : 11
% 0.24/1.42 # Clauses deleted for lack of memory : 0
% 0.24/1.42 # Backward-subsumed : 0
% 0.24/1.42 # Backward-rewritten : 0
% 0.24/1.42 # Generated clauses : 408
% 0.24/1.42 # ...of the previous two non-trivial : 357
% 0.24/1.42 # Contextual simplify-reflections : 12
% 0.24/1.42 # Paramodulations : 383
% 0.24/1.42 # Factorizations : 0
% 0.24/1.42 # Equation resolutions : 25
% 0.24/1.42 # Current number of processed clauses : 148
% 0.24/1.42 # Positive orientable unit clauses : 30
% 0.24/1.42 # Positive unorientable unit clauses: 0
% 0.24/1.42 # Negative unit clauses : 11
% 0.24/1.42 # Non-unit-clauses : 107
% 0.24/1.42 # Current number of unprocessed clauses: 322
% 0.24/1.42 # ...number of literals in the above : 1521
% 0.24/1.42 # Current number of archived formulas : 0
% 0.24/1.42 # Current number of archived clauses : 0
% 0.24/1.42 # Clause-clause subsumption calls (NU) : 2820
% 0.24/1.42 # Rec. Clause-clause subsumption calls : 645
% 0.24/1.42 # Non-unit clause-clause subsumptions : 20
% 0.24/1.42 # Unit Clause-clause subsumption calls : 310
% 0.24/1.42 # Rewrite failures with RHS unbound : 0
% 0.24/1.42 # BW rewrite match attempts : 0
% 0.24/1.42 # BW rewrite match successes : 0
% 0.24/1.42 # Condensation attempts : 0
% 0.24/1.42 # Condensation successes : 0
% 0.24/1.42 # Termbank termtop insertions : 15503
% 0.24/1.42
% 0.24/1.42 # -------------------------------------------------
% 0.24/1.42 # User time : 0.035 s
% 0.24/1.42 # System time : 0.004 s
% 0.24/1.42 # Total time : 0.039 s
% 0.24/1.42 # Maximum resident set size: 3832 pages
%------------------------------------------------------------------------------