TSTP Solution File: NUM584+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : NUM584+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:07:49 EDT 2023
% Result : Theorem 0.16s 0.50s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 15 unt; 0 def)
% Number of atoms : 104 ( 19 equ)
% Maximal formula atoms : 39 ( 4 avg)
% Number of connectives : 131 ( 53 ~; 55 |; 17 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-3 aty)
% Number of variables : 26 ( 0 sgn; 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefSel,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElementOf0(X2,szNzAzT0) )
=> ! [X3] :
( X3 = slbdtsldtrb0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aSubsetOf0(X4,X1)
& sbrdtbr0(X4) = X2 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i7qRzNRo7x/E---3.1_6004.p',mDefSel) ).
fof(mDefSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.i7qRzNRo7x/E---3.1_6004.p',mDefSub) ).
fof(m__,conjecture,
aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK)),
file('/export/starexec/sandbox2/tmp/tmp.i7qRzNRo7x/E---3.1_6004.p',m__) ).
fof(m__4007,hypothesis,
sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) = xK,
file('/export/starexec/sandbox2/tmp/tmp.i7qRzNRo7x/E---3.1_6004.p',m__4007) ).
fof(m__3418,hypothesis,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox2/tmp/tmp.i7qRzNRo7x/E---3.1_6004.p',m__3418) ).
fof(m__3435,hypothesis,
( aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox2/tmp/tmp.i7qRzNRo7x/E---3.1_6004.p',m__3435) ).
fof(mNATSet,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/tmp.i7qRzNRo7x/E---3.1_6004.p',mNATSet) ).
fof(m__3453,hypothesis,
( aFunction0(xc)
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
file('/export/starexec/sandbox2/tmp/tmp.i7qRzNRo7x/E---3.1_6004.p',m__3453) ).
fof(m__4024,hypothesis,
aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS),
file('/export/starexec/sandbox2/tmp/tmp.i7qRzNRo7x/E---3.1_6004.p',m__4024) ).
fof(c_0_9,plain,
! [X58,X59,X60,X61,X62,X63] :
( ( aSet0(X60)
| X60 != slbdtsldtrb0(X58,X59)
| ~ aSet0(X58)
| ~ aElementOf0(X59,szNzAzT0) )
& ( aSubsetOf0(X61,X58)
| ~ aElementOf0(X61,X60)
| X60 != slbdtsldtrb0(X58,X59)
| ~ aSet0(X58)
| ~ aElementOf0(X59,szNzAzT0) )
& ( sbrdtbr0(X61) = X59
| ~ aElementOf0(X61,X60)
| X60 != slbdtsldtrb0(X58,X59)
| ~ aSet0(X58)
| ~ aElementOf0(X59,szNzAzT0) )
& ( ~ aSubsetOf0(X62,X58)
| sbrdtbr0(X62) != X59
| aElementOf0(X62,X60)
| X60 != slbdtsldtrb0(X58,X59)
| ~ aSet0(X58)
| ~ aElementOf0(X59,szNzAzT0) )
& ( ~ aElementOf0(esk9_3(X58,X59,X63),X63)
| ~ aSubsetOf0(esk9_3(X58,X59,X63),X58)
| sbrdtbr0(esk9_3(X58,X59,X63)) != X59
| ~ aSet0(X63)
| X63 = slbdtsldtrb0(X58,X59)
| ~ aSet0(X58)
| ~ aElementOf0(X59,szNzAzT0) )
& ( aSubsetOf0(esk9_3(X58,X59,X63),X58)
| aElementOf0(esk9_3(X58,X59,X63),X63)
| ~ aSet0(X63)
| X63 = slbdtsldtrb0(X58,X59)
| ~ aSet0(X58)
| ~ aElementOf0(X59,szNzAzT0) )
& ( sbrdtbr0(esk9_3(X58,X59,X63)) = X59
| aElementOf0(esk9_3(X58,X59,X63),X63)
| ~ aSet0(X63)
| X63 = slbdtsldtrb0(X58,X59)
| ~ aSet0(X58)
| ~ aElementOf0(X59,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSel])])])])])]) ).
cnf(c_0_10,plain,
( aElementOf0(X1,X4)
| ~ aSubsetOf0(X1,X2)
| sbrdtbr0(X1) != X3
| X4 != slbdtsldtrb0(X2,X3)
| ~ aSet0(X2)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_11,plain,
! [X22,X23,X24,X25] :
( ( aSet0(X23)
| ~ aSubsetOf0(X23,X22)
| ~ aSet0(X22) )
& ( ~ aElementOf0(X24,X23)
| aElementOf0(X24,X22)
| ~ aSubsetOf0(X23,X22)
| ~ aSet0(X22) )
& ( aElementOf0(esk3_2(X22,X25),X25)
| ~ aSet0(X25)
| aSubsetOf0(X25,X22)
| ~ aSet0(X22) )
& ( ~ aElementOf0(esk3_2(X22,X25),X22)
| ~ aSet0(X25)
| aSubsetOf0(X25,X22)
| ~ aSet0(X22) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSub])])])])])]) ).
fof(c_0_12,negated_conjecture,
~ aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_13,plain,
( aElementOf0(X1,slbdtsldtrb0(X2,sbrdtbr0(X1)))
| ~ aSubsetOf0(X1,X2)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_10])]) ).
cnf(c_0_14,hypothesis,
sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) = xK,
inference(split_conjunct,[status(thm)],[m__4007]) ).
cnf(c_0_15,hypothesis,
aElementOf0(xK,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3418]) ).
cnf(c_0_16,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,hypothesis,
aSubsetOf0(xS,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3435]) ).
cnf(c_0_18,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]) ).
cnf(c_0_19,negated_conjecture,
~ aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,hypothesis,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(split_conjunct,[status(thm)],[m__3453]) ).
cnf(c_0_21,hypothesis,
( aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(X1,xK))
| ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X1)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_22,hypothesis,
aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS),
inference(split_conjunct,[status(thm)],[m__4024]) ).
cnf(c_0_23,hypothesis,
aSet0(xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_24,negated_conjecture,
~ aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),szDzozmdt0(xc)),
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_20]),c_0_22]),c_0_23])]),c_0_24]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM584+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.11 % Command : run_E %s %d THM
% 0.10/0.32 % Computer : n011.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 2400
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Oct 2 14:48:53 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.16/0.44 Running first-order model finding
% 0.16/0.44 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.i7qRzNRo7x/E---3.1_6004.p
% 0.16/0.50 # Version: 3.1pre001
% 0.16/0.50 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.50 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.50 # Starting sh5l with 300s (1) cores
% 0.16/0.50 # new_bool_3 with pid 6082 completed with status 0
% 0.16/0.50 # Result found by new_bool_3
% 0.16/0.50 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.50 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.50 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.50 # Search class: FGHSF-FSLM32-MFFFFFNN
% 0.16/0.50 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.50 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 163s (1) cores
% 0.16/0.50 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 6086 completed with status 0
% 0.16/0.50 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.16/0.50 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.50 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.50 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.50 # Search class: FGHSF-FSLM32-MFFFFFNN
% 0.16/0.50 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.50 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 163s (1) cores
% 0.16/0.50 # Preprocessing time : 0.003 s
% 0.16/0.50 # Presaturation interreduction done
% 0.16/0.50
% 0.16/0.50 # Proof found!
% 0.16/0.50 # SZS status Theorem
% 0.16/0.50 # SZS output start CNFRefutation
% See solution above
% 0.16/0.50 # Parsed axioms : 89
% 0.16/0.50 # Removed by relevancy pruning/SinE : 5
% 0.16/0.50 # Initial clauses : 155
% 0.16/0.50 # Removed in clause preprocessing : 7
% 0.16/0.50 # Initial clauses in saturation : 148
% 0.16/0.50 # Processed clauses : 508
% 0.16/0.50 # ...of these trivial : 1
% 0.16/0.50 # ...subsumed : 52
% 0.16/0.50 # ...remaining for further processing : 455
% 0.16/0.50 # Other redundant clauses eliminated : 38
% 0.16/0.50 # Clauses deleted for lack of memory : 0
% 0.16/0.50 # Backward-subsumed : 5
% 0.16/0.50 # Backward-rewritten : 6
% 0.16/0.50 # Generated clauses : 868
% 0.16/0.50 # ...of the previous two non-redundant : 777
% 0.16/0.50 # ...aggressively subsumed : 0
% 0.16/0.50 # Contextual simplify-reflections : 20
% 0.16/0.50 # Paramodulations : 832
% 0.16/0.50 # Factorizations : 0
% 0.16/0.50 # NegExts : 0
% 0.16/0.50 # Equation resolutions : 40
% 0.16/0.50 # Total rewrite steps : 462
% 0.16/0.50 # Propositional unsat checks : 0
% 0.16/0.50 # Propositional check models : 0
% 0.16/0.50 # Propositional check unsatisfiable : 0
% 0.16/0.50 # Propositional clauses : 0
% 0.16/0.50 # Propositional clauses after purity: 0
% 0.16/0.50 # Propositional unsat core size : 0
% 0.16/0.50 # Propositional preprocessing time : 0.000
% 0.16/0.50 # Propositional encoding time : 0.000
% 0.16/0.50 # Propositional solver time : 0.000
% 0.16/0.50 # Success case prop preproc time : 0.000
% 0.16/0.50 # Success case prop encoding time : 0.000
% 0.16/0.50 # Success case prop solver time : 0.000
% 0.16/0.50 # Current number of processed clauses : 268
% 0.16/0.50 # Positive orientable unit clauses : 51
% 0.16/0.50 # Positive unorientable unit clauses: 0
% 0.16/0.50 # Negative unit clauses : 15
% 0.16/0.50 # Non-unit-clauses : 202
% 0.16/0.50 # Current number of unprocessed clauses: 559
% 0.16/0.50 # ...number of literals in the above : 3049
% 0.16/0.50 # Current number of archived formulas : 0
% 0.16/0.50 # Current number of archived clauses : 158
% 0.16/0.50 # Clause-clause subsumption calls (NU) : 13091
% 0.16/0.50 # Rec. Clause-clause subsumption calls : 3341
% 0.16/0.50 # Non-unit clause-clause subsumptions : 55
% 0.16/0.50 # Unit Clause-clause subsumption calls : 893
% 0.16/0.50 # Rewrite failures with RHS unbound : 0
% 0.16/0.50 # BW rewrite match attempts : 6
% 0.16/0.50 # BW rewrite match successes : 6
% 0.16/0.50 # Condensation attempts : 0
% 0.16/0.50 # Condensation successes : 0
% 0.16/0.50 # Termbank termtop insertions : 27532
% 0.16/0.50
% 0.16/0.50 # -------------------------------------------------
% 0.16/0.50 # User time : 0.045 s
% 0.16/0.50 # System time : 0.010 s
% 0.16/0.50 # Total time : 0.055 s
% 0.16/0.50 # Maximum resident set size: 2308 pages
% 0.16/0.50
% 0.16/0.50 # -------------------------------------------------
% 0.16/0.50 # User time : 0.048 s
% 0.16/0.50 # System time : 0.011 s
% 0.16/0.50 # Total time : 0.060 s
% 0.16/0.50 # Maximum resident set size: 1784 pages
% 0.16/0.50 % E---3.1 exiting
%------------------------------------------------------------------------------