TSTP Solution File: NUM587+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : NUM587+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n007.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 18:56:30 EDT 2023
% Result : Theorem 0.18s 0.47s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 9 unt; 0 def)
% Number of atoms : 42 ( 3 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 42 ( 16 ~; 15 |; 8 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn; 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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.RyeZ4uHPji/E---3.1_19698.p',mDefSub) ).
fof(m__3453,hypothesis,
( aFunction0(xc)
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
file('/export/starexec/sandbox2/tmp/tmp.RyeZ4uHPji/E---3.1_19698.p',m__3453) ).
fof(m__3291,hypothesis,
( aSet0(xT)
& isFinite0(xT) ),
file('/export/starexec/sandbox2/tmp/tmp.RyeZ4uHPji/E---3.1_19698.p',m__3291) ).
fof(m__4263,hypothesis,
( xx = sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& aElementOf0(sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
file('/export/starexec/sandbox2/tmp/tmp.RyeZ4uHPji/E---3.1_19698.p',m__4263) ).
fof(m__,conjecture,
aElementOf0(xx,xT),
file('/export/starexec/sandbox2/tmp/tmp.RyeZ4uHPji/E---3.1_19698.p',m__) ).
fof(c_0_5,plain,
! [X15,X16,X17,X18] :
( ( aSet0(X16)
| ~ aSubsetOf0(X16,X15)
| ~ aSet0(X15) )
& ( ~ aElementOf0(X17,X16)
| aElementOf0(X17,X15)
| ~ aSubsetOf0(X16,X15)
| ~ aSet0(X15) )
& ( aElementOf0(esk2_2(X15,X18),X18)
| ~ aSet0(X18)
| aSubsetOf0(X18,X15)
| ~ aSet0(X15) )
& ( ~ aElementOf0(esk2_2(X15,X18),X15)
| ~ aSet0(X18)
| aSubsetOf0(X18,X15)
| ~ aSet0(X15) ) ),
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])])])])])]) ).
cnf(c_0_6,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_7,hypothesis,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(split_conjunct,[status(thm)],[m__3453]) ).
cnf(c_0_8,hypothesis,
aSet0(xT),
inference(split_conjunct,[status(thm)],[m__3291]) ).
cnf(c_0_9,hypothesis,
aElementOf0(sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(split_conjunct,[status(thm)],[m__4263]) ).
cnf(c_0_10,hypothesis,
xx = sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(split_conjunct,[status(thm)],[m__4263]) ).
fof(c_0_11,negated_conjecture,
~ aElementOf0(xx,xT),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_12,hypothesis,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]) ).
cnf(c_0_13,hypothesis,
aElementOf0(xx,sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
~ aElementOf0(xx,xT),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : NUM587+1 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.12 % Command : run_E %s %d THM
% 0.12/0.32 % Computer : n007.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 2400
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon Oct 2 14:17:54 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.18/0.44 Running first-order theorem proving
% 0.18/0.44 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.RyeZ4uHPji/E---3.1_19698.p
% 0.18/0.47 # Version: 3.1pre001
% 0.18/0.47 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.47 # Starting sh5l with 300s (1) cores
% 0.18/0.47 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 19776 completed with status 0
% 0.18/0.47 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.18/0.47 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.47 # No SInE strategy applied
% 0.18/0.47 # Search class: FGHSF-FSLM32-MFFFFFNN
% 0.18/0.47 # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.47 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 901s (1) cores
% 0.18/0.47 # Starting G-E--_300_C18_F1_SE_CS_SP_S0Y with 151s (1) cores
% 0.18/0.47 # Starting G-E--_302_C18_F1_URBAN_S0Y with 151s (1) cores
% 0.18/0.47 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0U with 151s (1) cores
% 0.18/0.47 # Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 146s (1) cores
% 0.18/0.47 # G-E--_300_C18_F1_SE_CS_SP_S0Y with pid 19783 completed with status 0
% 0.18/0.47 # Result found by G-E--_300_C18_F1_SE_CS_SP_S0Y
% 0.18/0.47 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.47 # No SInE strategy applied
% 0.18/0.47 # Search class: FGHSF-FSLM32-MFFFFFNN
% 0.18/0.47 # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.47 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 901s (1) cores
% 0.18/0.47 # Starting G-E--_300_C18_F1_SE_CS_SP_S0Y with 151s (1) cores
% 0.18/0.47 # Preprocessing time : 0.003 s
% 0.18/0.47
% 0.18/0.47 # Proof found!
% 0.18/0.47 # SZS status Theorem
% 0.18/0.47 # SZS output start CNFRefutation
% See solution above
% 0.18/0.47 # Parsed axioms : 91
% 0.18/0.47 # Removed by relevancy pruning/SinE : 0
% 0.18/0.47 # Initial clauses : 182
% 0.18/0.47 # Removed in clause preprocessing : 7
% 0.18/0.47 # Initial clauses in saturation : 175
% 0.18/0.47 # Processed clauses : 177
% 0.18/0.47 # ...of these trivial : 1
% 0.18/0.47 # ...subsumed : 22
% 0.18/0.47 # ...remaining for further processing : 154
% 0.18/0.47 # Other redundant clauses eliminated : 17
% 0.18/0.47 # Clauses deleted for lack of memory : 0
% 0.18/0.47 # Backward-subsumed : 3
% 0.18/0.47 # Backward-rewritten : 2
% 0.18/0.47 # Generated clauses : 172
% 0.18/0.47 # ...of the previous two non-redundant : 128
% 0.18/0.47 # ...aggressively subsumed : 0
% 0.18/0.47 # Contextual simplify-reflections : 6
% 0.18/0.47 # Paramodulations : 155
% 0.18/0.47 # Factorizations : 0
% 0.18/0.47 # NegExts : 0
% 0.18/0.47 # Equation resolutions : 18
% 0.18/0.47 # Total rewrite steps : 124
% 0.18/0.47 # Propositional unsat checks : 0
% 0.18/0.47 # Propositional check models : 0
% 0.18/0.47 # Propositional check unsatisfiable : 0
% 0.18/0.47 # Propositional clauses : 0
% 0.18/0.47 # Propositional clauses after purity: 0
% 0.18/0.47 # Propositional unsat core size : 0
% 0.18/0.47 # Propositional preprocessing time : 0.000
% 0.18/0.47 # Propositional encoding time : 0.000
% 0.18/0.47 # Propositional solver time : 0.000
% 0.18/0.47 # Success case prop preproc time : 0.000
% 0.18/0.47 # Success case prop encoding time : 0.000
% 0.18/0.47 # Success case prop solver time : 0.000
% 0.18/0.47 # Current number of processed clauses : 137
% 0.18/0.47 # Positive orientable unit clauses : 42
% 0.18/0.47 # Positive unorientable unit clauses: 0
% 0.18/0.47 # Negative unit clauses : 9
% 0.18/0.47 # Non-unit-clauses : 86
% 0.18/0.47 # Current number of unprocessed clauses: 124
% 0.18/0.47 # ...number of literals in the above : 638
% 0.18/0.47 # Current number of archived formulas : 0
% 0.18/0.47 # Current number of archived clauses : 5
% 0.18/0.47 # Clause-clause subsumption calls (NU) : 1701
% 0.18/0.47 # Rec. Clause-clause subsumption calls : 1085
% 0.18/0.47 # Non-unit clause-clause subsumptions : 21
% 0.18/0.47 # Unit Clause-clause subsumption calls : 192
% 0.18/0.47 # Rewrite failures with RHS unbound : 0
% 0.18/0.47 # BW rewrite match attempts : 2
% 0.18/0.47 # BW rewrite match successes : 2
% 0.18/0.47 # Condensation attempts : 0
% 0.18/0.47 # Condensation successes : 0
% 0.18/0.47 # Termbank termtop insertions : 14448
% 0.18/0.47
% 0.18/0.47 # -------------------------------------------------
% 0.18/0.47 # User time : 0.018 s
% 0.18/0.47 # System time : 0.005 s
% 0.18/0.47 # Total time : 0.023 s
% 0.18/0.47 # Maximum resident set size: 2364 pages
% 0.18/0.47
% 0.18/0.47 # -------------------------------------------------
% 0.18/0.47 # User time : 0.062 s
% 0.18/0.47 # System time : 0.014 s
% 0.18/0.47 # Total time : 0.076 s
% 0.18/0.47 # Maximum resident set size: 1792 pages
% 0.18/0.47 % E---3.1 exiting
% 0.18/0.48 % E---3.1 exiting
%------------------------------------------------------------------------------