TSTP Solution File: SET602+3 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SET602+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n027.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 19:23:04 EDT 2023
% Result : Theorem 0.16s 0.45s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 16 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 11 ( 6 ~; 3 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn; 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_self_difference_is_empty_set,conjecture,
! [X1] : difference(X1,X1) = empty_set,
file('/export/starexec/sandbox2/tmp/tmp.FuURx6eLpb/E---3.1_10341.p',prove_self_difference_is_empty_set) ).
fof(difference_empty_set,axiom,
! [X1,X2] :
( difference(X1,X2) = empty_set
<=> subset(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.FuURx6eLpb/E---3.1_10341.p',difference_empty_set) ).
fof(reflexivity_of_subset,axiom,
! [X1] : subset(X1,X1),
file('/export/starexec/sandbox2/tmp/tmp.FuURx6eLpb/E---3.1_10341.p',reflexivity_of_subset) ).
fof(c_0_3,negated_conjecture,
~ ! [X1] : difference(X1,X1) = empty_set,
inference(assume_negation,[status(cth)],[prove_self_difference_is_empty_set]) ).
fof(c_0_4,negated_conjecture,
difference(esk1_0,esk1_0) != empty_set,
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
fof(c_0_5,plain,
! [X5,X6] :
( ( difference(X5,X6) != empty_set
| subset(X5,X6) )
& ( ~ subset(X5,X6)
| difference(X5,X6) = empty_set ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[difference_empty_set])]) ).
fof(c_0_6,plain,
! [X19] : subset(X19,X19),
inference(variable_rename,[status(thm)],[reflexivity_of_subset]) ).
cnf(c_0_7,negated_conjecture,
difference(esk1_0,esk1_0) != empty_set,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( difference(X1,X2) = empty_set
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET602+3 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n027.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 2400
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Oct 2 17:01:00 EDT 2023
% 0.11/0.32 % 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.FuURx6eLpb/E---3.1_10341.p
% 0.16/0.45 # Version: 3.1pre001
% 0.16/0.45 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45 # Starting sh5l with 300s (1) cores
% 0.16/0.45 # new_bool_3 with pid 10419 completed with status 0
% 0.16/0.45 # Result found by new_bool_3
% 0.16/0.45 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.45 # Search class: FGHSF-FFSF22-SFFFFFNN
% 0.16/0.45 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.45 # SAT001_MinMin_p005000_rr_RG with pid 10422 completed with status 0
% 0.16/0.45 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.16/0.45 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.45 # Search class: FGHSF-FFSF22-SFFFFFNN
% 0.16/0.45 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.45 # Preprocessing time : 0.001 s
% 0.16/0.45 # Presaturation interreduction done
% 0.16/0.45
% 0.16/0.45 # Proof found!
% 0.16/0.45 # SZS status Theorem
% 0.16/0.45 # SZS output start CNFRefutation
% See solution above
% 0.16/0.45 # Parsed axioms : 8
% 0.16/0.45 # Removed by relevancy pruning/SinE : 1
% 0.16/0.45 # Initial clauses : 14
% 0.16/0.45 # Removed in clause preprocessing : 0
% 0.16/0.45 # Initial clauses in saturation : 14
% 0.16/0.45 # Processed clauses : 18
% 0.16/0.45 # ...of these trivial : 0
% 0.16/0.45 # ...subsumed : 0
% 0.16/0.45 # ...remaining for further processing : 18
% 0.16/0.45 # Other redundant clauses eliminated : 2
% 0.16/0.45 # Clauses deleted for lack of memory : 0
% 0.16/0.45 # Backward-subsumed : 0
% 0.16/0.45 # Backward-rewritten : 0
% 0.16/0.45 # Generated clauses : 3
% 0.16/0.45 # ...of the previous two non-redundant : 0
% 0.16/0.45 # ...aggressively subsumed : 0
% 0.16/0.45 # Contextual simplify-reflections : 0
% 0.16/0.45 # Paramodulations : 1
% 0.16/0.45 # Factorizations : 0
% 0.16/0.45 # NegExts : 0
% 0.16/0.45 # Equation resolutions : 2
% 0.16/0.45 # Total rewrite steps : 3
% 0.16/0.45 # Propositional unsat checks : 0
% 0.16/0.45 # Propositional check models : 0
% 0.16/0.45 # Propositional check unsatisfiable : 0
% 0.16/0.45 # Propositional clauses : 0
% 0.16/0.45 # Propositional clauses after purity: 0
% 0.16/0.45 # Propositional unsat core size : 0
% 0.16/0.45 # Propositional preprocessing time : 0.000
% 0.16/0.45 # Propositional encoding time : 0.000
% 0.16/0.45 # Propositional solver time : 0.000
% 0.16/0.45 # Success case prop preproc time : 0.000
% 0.16/0.45 # Success case prop encoding time : 0.000
% 0.16/0.45 # Success case prop solver time : 0.000
% 0.16/0.45 # Current number of processed clauses : 4
% 0.16/0.45 # Positive orientable unit clauses : 1
% 0.16/0.45 # Positive unorientable unit clauses: 0
% 0.16/0.45 # Negative unit clauses : 2
% 0.16/0.45 # Non-unit-clauses : 1
% 0.16/0.45 # Current number of unprocessed clauses: 8
% 0.16/0.45 # ...number of literals in the above : 19
% 0.16/0.45 # Current number of archived formulas : 0
% 0.16/0.45 # Current number of archived clauses : 12
% 0.16/0.45 # Clause-clause subsumption calls (NU) : 4
% 0.16/0.45 # Rec. Clause-clause subsumption calls : 4
% 0.16/0.45 # Non-unit clause-clause subsumptions : 0
% 0.16/0.45 # 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 : 647
% 0.16/0.45
% 0.16/0.45 # -------------------------------------------------
% 0.16/0.45 # User time : 0.004 s
% 0.16/0.45 # System time : 0.001 s
% 0.16/0.45 # Total time : 0.005 s
% 0.16/0.45 # Maximum resident set size: 1744 pages
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% 0.16/0.45 # -------------------------------------------------
% 0.16/0.45 # User time : 0.005 s
% 0.16/0.45 # System time : 0.003 s
% 0.16/0.45 # Total time : 0.007 s
% 0.16/0.45 # Maximum resident set size: 1684 pages
% 0.16/0.45 % E---3.1 exiting
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