TSTP Solution File: SEU323+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SEU323+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n017.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 19:31:38 EDT 2023
% Result : Theorem 0.15s 0.43s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 5 unt; 0 def)
% Number of atoms : 83 ( 3 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 96 ( 39 ~; 36 |; 11 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn; 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fc3_tops_1,axiom,
! [X1,X2] :
( ( topological_space(X1)
& top_str(X1)
& closed_subset(X2,X1)
& element(X2,powerset(the_carrier(X1))) )
=> open_subset(subset_complement(the_carrier(X1),X2),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.TYZP3SHZwr/E---3.1_8385.p',fc3_tops_1) ).
fof(d1_tops_1,axiom,
! [X1] :
( top_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> interior(X1,X2) = subset_complement(the_carrier(X1),topstr_closure(X1,subset_complement(the_carrier(X1),X2))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.TYZP3SHZwr/E---3.1_8385.p',d1_tops_1) ).
fof(fc2_tops_1,axiom,
! [X1,X2] :
( ( topological_space(X1)
& top_str(X1)
& element(X2,powerset(the_carrier(X1))) )
=> closed_subset(topstr_closure(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.TYZP3SHZwr/E---3.1_8385.p',fc2_tops_1) ).
fof(dt_k3_subset_1,axiom,
! [X1,X2] :
( element(X2,powerset(X1))
=> element(subset_complement(X1,X2),powerset(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.TYZP3SHZwr/E---3.1_8385.p',dt_k3_subset_1) ).
fof(t51_tops_1,conjecture,
! [X1] :
( ( topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> open_subset(interior(X1,X2),X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.TYZP3SHZwr/E---3.1_8385.p',t51_tops_1) ).
fof(dt_k6_pre_topc,axiom,
! [X1,X2] :
( ( top_str(X1)
& element(X2,powerset(the_carrier(X1))) )
=> element(topstr_closure(X1,X2),powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox2/tmp/tmp.TYZP3SHZwr/E---3.1_8385.p',dt_k6_pre_topc) ).
fof(c_0_6,plain,
! [X3,X4] :
( ~ topological_space(X3)
| ~ top_str(X3)
| ~ closed_subset(X4,X3)
| ~ element(X4,powerset(the_carrier(X3)))
| open_subset(subset_complement(the_carrier(X3),X4),X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc3_tops_1])]) ).
fof(c_0_7,plain,
! [X29,X30] :
( ~ top_str(X29)
| ~ element(X30,powerset(the_carrier(X29)))
| interior(X29,X30) = subset_complement(the_carrier(X29),topstr_closure(X29,subset_complement(the_carrier(X29),X30))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_tops_1])])]) ).
cnf(c_0_8,plain,
( open_subset(subset_complement(the_carrier(X1),X2),X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ closed_subset(X2,X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( interior(X1,X2) = subset_complement(the_carrier(X1),topstr_closure(X1,subset_complement(the_carrier(X1),X2)))
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X15,X16] :
( ~ topological_space(X15)
| ~ top_str(X15)
| ~ element(X16,powerset(the_carrier(X15)))
| closed_subset(topstr_closure(X15,X16),X15) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_tops_1])]) ).
fof(c_0_11,plain,
! [X11,X12] :
( ~ element(X12,powerset(X11))
| element(subset_complement(X11,X12),powerset(X11)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_subset_1])]) ).
fof(c_0_12,negated_conjecture,
~ ! [X1] :
( ( topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> open_subset(interior(X1,X2),X1) ) ),
inference(assume_negation,[status(cth)],[t51_tops_1]) ).
cnf(c_0_13,plain,
( open_subset(interior(X1,X2),X1)
| ~ element(topstr_closure(X1,subset_complement(the_carrier(X1),X2)),powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ closed_subset(topstr_closure(X1,subset_complement(the_carrier(X1),X2)),X1)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,plain,
( closed_subset(topstr_closure(X1,X2),X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( element(subset_complement(X2,X1),powerset(X2))
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_16,plain,
! [X13,X14] :
( ~ top_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| element(topstr_closure(X13,X14),powerset(the_carrier(X13))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_pre_topc])]) ).
fof(c_0_17,negated_conjecture,
( topological_space(esk6_0)
& top_str(esk6_0)
& element(esk7_0,powerset(the_carrier(esk6_0)))
& ~ open_subset(interior(esk6_0,esk7_0),esk6_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
cnf(c_0_18,plain,
( open_subset(interior(X1,X2),X1)
| ~ element(topstr_closure(X1,subset_complement(the_carrier(X1),X2)),powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_19,plain,
( element(topstr_closure(X1,X2),powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,negated_conjecture,
~ open_subset(interior(esk6_0,esk7_0),esk6_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,plain,
( open_subset(interior(X1,X2),X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_15]) ).
cnf(c_0_22,negated_conjecture,
element(esk7_0,powerset(the_carrier(esk6_0))),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,negated_conjecture,
top_str(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,negated_conjecture,
topological_space(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,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_20,c_0_21]),c_0_22]),c_0_23]),c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SEU323+1 : TPTP v8.1.2. Released v3.3.0.
% 0.05/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n017.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Oct 2 08:57:41 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.42 Running first-order model finding
% 0.15/0.42 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.TYZP3SHZwr/E---3.1_8385.p
% 0.15/0.43 # Version: 3.1pre001
% 0.15/0.43 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.43 # Starting sh5l with 300s (1) cores
% 0.15/0.43 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 8462 completed with status 0
% 0.15/0.43 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.43 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.43 # No SInE strategy applied
% 0.15/0.43 # Search class: FHUSS-FFSS21-MFFFFFNN
% 0.15/0.43 # partial match(1): FHUSS-FFSS21-SFFFFFNN
% 0.15/0.43 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.43 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.15/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.43 # Starting new_bool_3 with 136s (1) cores
% 0.15/0.43 # Starting new_bool_1 with 136s (1) cores
% 0.15/0.43 # Starting sh5l with 136s (1) cores
% 0.15/0.43 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 8467 completed with status 0
% 0.15/0.43 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.43 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.43 # No SInE strategy applied
% 0.15/0.43 # Search class: FHUSS-FFSS21-MFFFFFNN
% 0.15/0.43 # partial match(1): FHUSS-FFSS21-SFFFFFNN
% 0.15/0.43 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.43 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.15/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.43 # Preprocessing time : 0.001 s
% 0.15/0.43 # Presaturation interreduction done
% 0.15/0.43
% 0.15/0.43 # Proof found!
% 0.15/0.43 # SZS status Theorem
% 0.15/0.43 # SZS output start CNFRefutation
% See solution above
% 0.15/0.43 # Parsed axioms : 21
% 0.15/0.43 # Removed by relevancy pruning/SinE : 0
% 0.15/0.43 # Initial clauses : 27
% 0.15/0.43 # Removed in clause preprocessing : 4
% 0.15/0.43 # Initial clauses in saturation : 23
% 0.15/0.43 # Processed clauses : 60
% 0.15/0.43 # ...of these trivial : 0
% 0.15/0.43 # ...subsumed : 4
% 0.15/0.43 # ...remaining for further processing : 56
% 0.15/0.43 # Other redundant clauses eliminated : 0
% 0.15/0.43 # Clauses deleted for lack of memory : 0
% 0.15/0.43 # Backward-subsumed : 2
% 0.15/0.43 # Backward-rewritten : 0
% 0.15/0.43 # Generated clauses : 34
% 0.15/0.43 # ...of the previous two non-redundant : 28
% 0.15/0.43 # ...aggressively subsumed : 0
% 0.15/0.43 # Contextual simplify-reflections : 6
% 0.15/0.43 # Paramodulations : 34
% 0.15/0.43 # Factorizations : 0
% 0.15/0.43 # NegExts : 0
% 0.15/0.43 # Equation resolutions : 0
% 0.15/0.43 # Total rewrite steps : 3
% 0.15/0.43 # Propositional unsat checks : 0
% 0.15/0.43 # Propositional check models : 0
% 0.15/0.43 # Propositional check unsatisfiable : 0
% 0.15/0.43 # Propositional clauses : 0
% 0.15/0.43 # Propositional clauses after purity: 0
% 0.15/0.43 # Propositional unsat core size : 0
% 0.15/0.43 # Propositional preprocessing time : 0.000
% 0.15/0.43 # Propositional encoding time : 0.000
% 0.15/0.43 # Propositional solver time : 0.000
% 0.15/0.43 # Success case prop preproc time : 0.000
% 0.15/0.43 # Success case prop encoding time : 0.000
% 0.15/0.43 # Success case prop solver time : 0.000
% 0.15/0.43 # Current number of processed clauses : 31
% 0.15/0.43 # Positive orientable unit clauses : 8
% 0.15/0.43 # Positive unorientable unit clauses: 0
% 0.15/0.43 # Negative unit clauses : 1
% 0.15/0.43 # Non-unit-clauses : 22
% 0.15/0.43 # Current number of unprocessed clauses: 14
% 0.15/0.43 # ...number of literals in the above : 78
% 0.15/0.43 # Current number of archived formulas : 0
% 0.15/0.43 # Current number of archived clauses : 25
% 0.15/0.43 # Clause-clause subsumption calls (NU) : 450
% 0.15/0.43 # Rec. Clause-clause subsumption calls : 163
% 0.15/0.43 # Non-unit clause-clause subsumptions : 12
% 0.15/0.43 # Unit Clause-clause subsumption calls : 2
% 0.15/0.43 # Rewrite failures with RHS unbound : 0
% 0.15/0.43 # BW rewrite match attempts : 2
% 0.15/0.43 # BW rewrite match successes : 0
% 0.15/0.43 # Condensation attempts : 0
% 0.15/0.43 # Condensation successes : 0
% 0.15/0.43 # Termbank termtop insertions : 2722
% 0.15/0.43
% 0.15/0.43 # -------------------------------------------------
% 0.15/0.43 # User time : 0.004 s
% 0.15/0.43 # System time : 0.005 s
% 0.15/0.43 # Total time : 0.008 s
% 0.15/0.43 # Maximum resident set size: 1792 pages
% 0.15/0.43
% 0.15/0.43 # -------------------------------------------------
% 0.15/0.43 # User time : 0.024 s
% 0.15/0.43 # System time : 0.007 s
% 0.15/0.43 # Total time : 0.031 s
% 0.15/0.43 # Maximum resident set size: 1684 pages
% 0.15/0.43 % E---3.1 exiting
%------------------------------------------------------------------------------