TSTP Solution File: NUM548+3 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : NUM548+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n012.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 18:56:18 EDT 2023
% Result : Theorem 0.16s 0.44s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 32 ( 3 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 28 ( 9 ~; 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/tmp/tmp.mtO97n4dvv/E---3.1_22333.p',m__) ).
fof(mCardNum,axiom,
! [X1] :
( aSet0(X1)
=> ( aElementOf0(sbrdtbr0(X1),szNzAzT0)
<=> isFinite0(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.mtO97n4dvv/E---3.1_22333.p',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/tmp/tmp.mtO97n4dvv/E---3.1_22333.p',m__2270) ).
fof(m__2202,hypothesis,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox2/tmp/tmp.mtO97n4dvv/E---3.1_22333.p',m__2202) ).
fof(c_0_4,negated_conjecture,
~ isFinite0(xQ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
fof(c_0_5,plain,
! [X73] :
( ( ~ aElementOf0(sbrdtbr0(X73),szNzAzT0)
| isFinite0(X73)
| ~ aSet0(X73) )
& ( ~ isFinite0(X73)
| aElementOf0(sbrdtbr0(X73),szNzAzT0)
| ~ aSet0(X73) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardNum])])]) ).
fof(c_0_6,hypothesis,
! [X137] :
( aSet0(xQ)
& ( ~ aElementOf0(X137,xQ)
| aElementOf0(X137,xS) )
& aSubsetOf0(xQ,xS)
& sbrdtbr0(xQ) = xk
& aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2270])])]) ).
cnf(c_0_7,negated_conjecture,
~ isFinite0(xQ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( isFinite0(X1)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,hypothesis,
sbrdtbr0(xQ) = xk,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,hypothesis,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__2202]) ).
cnf(c_0_11,hypothesis,
aSet0(xQ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,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_7,c_0_8]),c_0_9]),c_0_10]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : NUM548+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n012.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 2400
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Oct 2 14:19:50 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.mtO97n4dvv/E---3.1_22333.p
% 0.16/0.44 # Version: 3.1pre001
% 0.16/0.44 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.44 # Starting sh5l with 300s (1) cores
% 0.16/0.44 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 22411 completed with status 0
% 0.16/0.44 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.16/0.44 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.44 # No SInE strategy applied
% 0.16/0.44 # Search class: FGHSF-FSLM31-MFFFFFNN
% 0.16/0.44 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.44 # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 811s (1) cores
% 0.16/0.44 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.16/0.44 # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.16/0.44 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 136s (1) cores
% 0.16/0.44 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S2S with 136s (1) cores
% 0.16/0.44 # G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with pid 22421 completed with status 0
% 0.16/0.44 # Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I
% 0.16/0.44 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.44 # No SInE strategy applied
% 0.16/0.44 # Search class: FGHSF-FSLM31-MFFFFFNN
% 0.16/0.44 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.44 # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 811s (1) cores
% 0.16/0.44 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.16/0.44 # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.16/0.44 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 136s (1) cores
% 0.16/0.44 # Preprocessing time : 0.003 s
% 0.16/0.44
% 0.16/0.44 # Proof found!
% 0.16/0.44 # SZS status Theorem
% 0.16/0.44 # SZS output start CNFRefutation
% See solution above
% 0.16/0.44 # Parsed axioms : 66
% 0.16/0.44 # Removed by relevancy pruning/SinE : 0
% 0.16/0.44 # Initial clauses : 148
% 0.16/0.44 # Removed in clause preprocessing : 6
% 0.16/0.44 # Initial clauses in saturation : 142
% 0.16/0.44 # Processed clauses : 49
% 0.16/0.44 # ...of these trivial : 0
% 0.16/0.44 # ...subsumed : 1
% 0.16/0.44 # ...remaining for further processing : 48
% 0.16/0.44 # Other redundant clauses eliminated : 0
% 0.16/0.44 # Clauses deleted for lack of memory : 0
% 0.16/0.44 # Backward-subsumed : 0
% 0.16/0.44 # Backward-rewritten : 0
% 0.16/0.44 # Generated clauses : 44
% 0.16/0.44 # ...of the previous two non-redundant : 35
% 0.16/0.44 # ...aggressively subsumed : 0
% 0.16/0.44 # Contextual simplify-reflections : 4
% 0.16/0.44 # Paramodulations : 42
% 0.16/0.44 # Factorizations : 0
% 0.16/0.44 # NegExts : 0
% 0.16/0.44 # Equation resolutions : 2
% 0.16/0.44 # Total rewrite steps : 25
% 0.16/0.44 # Propositional unsat checks : 0
% 0.16/0.44 # Propositional check models : 0
% 0.16/0.44 # Propositional check unsatisfiable : 0
% 0.16/0.44 # Propositional clauses : 0
% 0.16/0.44 # Propositional clauses after purity: 0
% 0.16/0.44 # Propositional unsat core size : 0
% 0.16/0.44 # Propositional preprocessing time : 0.000
% 0.16/0.44 # Propositional encoding time : 0.000
% 0.16/0.44 # Propositional solver time : 0.000
% 0.16/0.44 # Success case prop preproc time : 0.000
% 0.16/0.44 # Success case prop encoding time : 0.000
% 0.16/0.44 # Success case prop solver time : 0.000
% 0.16/0.44 # Current number of processed clauses : 48
% 0.16/0.44 # Positive orientable unit clauses : 17
% 0.16/0.44 # Positive unorientable unit clauses: 0
% 0.16/0.44 # Negative unit clauses : 3
% 0.16/0.44 # Non-unit-clauses : 28
% 0.16/0.44 # Current number of unprocessed clauses: 128
% 0.16/0.44 # ...number of literals in the above : 476
% 0.16/0.44 # Current number of archived formulas : 0
% 0.16/0.44 # Current number of archived clauses : 0
% 0.16/0.44 # Clause-clause subsumption calls (NU) : 223
% 0.16/0.44 # Rec. Clause-clause subsumption calls : 152
% 0.16/0.44 # Non-unit clause-clause subsumptions : 5
% 0.16/0.44 # Unit Clause-clause subsumption calls : 0
% 0.16/0.45 # Rewrite failures with RHS unbound : 0
% 0.16/0.45 # BW rewrite match attempts : 0
% 0.16/0.45 # BW rewrite match successes : 0
% 0.16/0.45 # Condensation attempts : 0
% 0.16/0.45 # Condensation successes : 0
% 0.16/0.45 # Termbank termtop insertions : 9816
% 0.16/0.45
% 0.16/0.45 # -------------------------------------------------
% 0.16/0.45 # User time : 0.012 s
% 0.16/0.45 # System time : 0.003 s
% 0.16/0.45 # Total time : 0.015 s
% 0.16/0.45 # Maximum resident set size: 2256 pages
% 0.16/0.45
% 0.16/0.45 # -------------------------------------------------
% 0.16/0.45 # User time : 0.039 s
% 0.16/0.45 # System time : 0.007 s
% 0.16/0.45 # Total time : 0.045 s
% 0.16/0.45 # Maximum resident set size: 1764 pages
% 0.16/0.45 % E---3.1 exiting
% 0.16/0.45 % E---3.1 exiting
%------------------------------------------------------------------------------