TSTP Solution File: NUM550+3 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : NUM550+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n025.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 19:07:40 EDT 2023
% Result : Theorem 0.22s 0.53s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 40 ( 18 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 39 ( 15 ~; 7 |; 14 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn; 5 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
~ ( ~ ? [X1] : aElementOf0(X1,xQ)
& xQ = slcrc0 ),
file('/export/starexec/sandbox/tmp/tmp.qTvXNe3fZV/E---3.1_10904.p',m__) ).
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/tmp/tmp.qTvXNe3fZV/E---3.1_10904.p',m__2270) ).
fof(mCardEmpty,axiom,
! [X1] :
( aSet0(X1)
=> ( sbrdtbr0(X1) = sz00
<=> X1 = slcrc0 ) ),
file('/export/starexec/sandbox/tmp/tmp.qTvXNe3fZV/E---3.1_10904.p',mCardEmpty) ).
fof(m__2202_02,hypothesis,
( aSet0(xS)
& aSet0(xT)
& xk != sz00 ),
file('/export/starexec/sandbox/tmp/tmp.qTvXNe3fZV/E---3.1_10904.p',m__2202_02) ).
fof(c_0_4,negated_conjecture,
~ ~ ( ~ ? [X1] : aElementOf0(X1,xQ)
& xQ = slcrc0 ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_5,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])])]) ).
fof(c_0_6,negated_conjecture,
! [X138] :
( ~ aElementOf0(X138,xQ)
& xQ = slcrc0 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_7,plain,
! [X74] :
( ( sbrdtbr0(X74) != sz00
| X74 = slcrc0
| ~ aSet0(X74) )
& ( X74 != slcrc0
| sbrdtbr0(X74) = sz00
| ~ aSet0(X74) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardEmpty])])]) ).
cnf(c_0_8,hypothesis,
sbrdtbr0(xQ) = xk,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
xQ = slcrc0,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,hypothesis,
aSet0(xQ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
( sbrdtbr0(X1) = sz00
| X1 != slcrc0
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,hypothesis,
sbrdtbr0(slcrc0) = xk,
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,hypothesis,
aSet0(slcrc0),
inference(rw,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_14,hypothesis,
xk != sz00,
inference(split_conjunct,[status(thm)],[m__2202_02]) ).
cnf(c_0_15,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_11]),c_0_12]),c_0_13])]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM550+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n025.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 2400
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Oct 2 14:25:21 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.22/0.51 Running first-order model finding
% 0.22/0.51 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.qTvXNe3fZV/E---3.1_10904.p
% 0.22/0.53 # Version: 3.1pre001
% 0.22/0.53 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.22/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.53 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.22/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.22/0.53 # Starting new_bool_1 with 300s (1) cores
% 0.22/0.53 # Starting sh5l with 300s (1) cores
% 0.22/0.53 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 10982 completed with status 0
% 0.22/0.53 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.22/0.53 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.22/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.53 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.22/0.53 # No SInE strategy applied
% 0.22/0.53 # Search class: FGHSF-FSLM31-MFFFFFNN
% 0.22/0.53 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.53 # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 811s (1) cores
% 0.22/0.53 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.22/0.53 # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.22/0.53 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 136s (1) cores
% 0.22/0.53 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S2S with 136s (1) cores
% 0.22/0.53 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S2S with pid 10993 completed with status 0
% 0.22/0.53 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S2S
% 0.22/0.53 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.22/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.53 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.22/0.53 # No SInE strategy applied
% 0.22/0.53 # Search class: FGHSF-FSLM31-MFFFFFNN
% 0.22/0.53 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.53 # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 811s (1) cores
% 0.22/0.53 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.22/0.53 # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.22/0.53 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 136s (1) cores
% 0.22/0.53 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S2S with 136s (1) cores
% 0.22/0.53 # Preprocessing time : 0.002 s
% 0.22/0.53 # Presaturation interreduction done
% 0.22/0.53
% 0.22/0.53 # Proof found!
% 0.22/0.53 # SZS status Theorem
% 0.22/0.53 # SZS output start CNFRefutation
% See solution above
% 0.22/0.53 # Parsed axioms : 67
% 0.22/0.53 # Removed by relevancy pruning/SinE : 0
% 0.22/0.53 # Initial clauses : 152
% 0.22/0.53 # Removed in clause preprocessing : 6
% 0.22/0.53 # Initial clauses in saturation : 146
% 0.22/0.53 # Processed clauses : 28
% 0.22/0.53 # ...of these trivial : 3
% 0.22/0.53 # ...subsumed : 1
% 0.22/0.53 # ...remaining for further processing : 24
% 0.22/0.53 # Other redundant clauses eliminated : 4
% 0.22/0.53 # Clauses deleted for lack of memory : 0
% 0.22/0.53 # Backward-subsumed : 0
% 0.22/0.53 # Backward-rewritten : 0
% 0.22/0.53 # Generated clauses : 4
% 0.22/0.53 # ...of the previous two non-redundant : 2
% 0.22/0.53 # ...aggressively subsumed : 0
% 0.22/0.53 # Contextual simplify-reflections : 0
% 0.22/0.53 # Paramodulations : 0
% 0.22/0.53 # Factorizations : 0
% 0.22/0.53 # NegExts : 0
% 0.22/0.53 # Equation resolutions : 4
% 0.22/0.53 # Total rewrite steps : 16
% 0.22/0.53 # Propositional unsat checks : 0
% 0.22/0.53 # Propositional check models : 0
% 0.22/0.53 # Propositional check unsatisfiable : 0
% 0.22/0.53 # Propositional clauses : 0
% 0.22/0.53 # Propositional clauses after purity: 0
% 0.22/0.53 # Propositional unsat core size : 0
% 0.22/0.53 # Propositional preprocessing time : 0.000
% 0.22/0.53 # Propositional encoding time : 0.000
% 0.22/0.53 # Propositional solver time : 0.000
% 0.22/0.53 # Success case prop preproc time : 0.000
% 0.22/0.53 # Success case prop encoding time : 0.000
% 0.22/0.53 # Success case prop solver time : 0.000
% 0.22/0.53 # Current number of processed clauses : 20
% 0.22/0.53 # Positive orientable unit clauses : 14
% 0.22/0.53 # Positive unorientable unit clauses: 0
% 0.22/0.53 # Negative unit clauses : 3
% 0.22/0.53 # Non-unit-clauses : 3
% 0.22/0.53 # Current number of unprocessed clauses: 120
% 0.22/0.53 # ...number of literals in the above : 478
% 0.22/0.53 # Current number of archived formulas : 0
% 0.22/0.53 # Current number of archived clauses : 0
% 0.22/0.53 # Clause-clause subsumption calls (NU) : 1
% 0.22/0.53 # Rec. Clause-clause subsumption calls : 1
% 0.22/0.53 # Non-unit clause-clause subsumptions : 0
% 0.22/0.53 # Unit Clause-clause subsumption calls : 0
% 0.22/0.53 # Rewrite failures with RHS unbound : 0
% 0.22/0.53 # BW rewrite match attempts : 0
% 0.22/0.53 # BW rewrite match successes : 0
% 0.22/0.53 # Condensation attempts : 0
% 0.22/0.53 # Condensation successes : 0
% 0.22/0.53 # Termbank termtop insertions : 9220
% 0.22/0.53
% 0.22/0.53 # -------------------------------------------------
% 0.22/0.53 # User time : 0.010 s
% 0.22/0.53 # System time : 0.006 s
% 0.22/0.53 # Total time : 0.016 s
% 0.22/0.53 # Maximum resident set size: 2260 pages
% 0.22/0.53
% 0.22/0.53 # -------------------------------------------------
% 0.22/0.53 # User time : 0.027 s
% 0.22/0.53 # System time : 0.011 s
% 0.22/0.53 # Total time : 0.039 s
% 0.22/0.53 # Maximum resident set size: 1756 pages
% 0.22/0.53 % E---3.1 exiting
%------------------------------------------------------------------------------