TSTP Solution File: SET086+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET086+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n032.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 19:18:25 EDT 2023
% Result : Theorem 0.15s 0.40s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 3 unt; 0 def)
% Number of atoms : 25 ( 15 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 27 ( 11 ~; 8 |; 8 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 10 ( 0 sgn; 3 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(member_of_substitution,conjecture,
! [X1] :
? [X3] :
( ( member(X3,universal_class)
& X1 = singleton(X3) )
| ( ~ ? [X2] :
( member(X2,universal_class)
& X1 = singleton(X2) )
& X3 = X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.ulhkU63XNa/E---3.1_5046.p',member_of_substitution) ).
fof(c_0_1,negated_conjecture,
~ ! [X1] :
? [X3] :
( ( member(X3,universal_class)
& X1 = singleton(X3) )
| ( ~ ? [X2] :
( member(X2,universal_class)
& X1 = singleton(X2) )
& X3 = X1 ) ),
inference(assume_negation,[status(cth)],[member_of_substitution]) ).
fof(c_0_2,negated_conjecture,
! [X11] :
( ( ~ member(X11,universal_class)
| esk1_0 != singleton(X11) )
& ( member(esk2_1(X11),universal_class)
| X11 != esk1_0 )
& ( esk1_0 = singleton(esk2_1(X11))
| X11 != esk1_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).
cnf(c_0_3,negated_conjecture,
( member(esk2_1(X1),universal_class)
| X1 != esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( esk1_0 = singleton(esk2_1(X1))
| X1 != esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( ~ member(X1,universal_class)
| esk1_0 != singleton(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
member(esk2_1(esk1_0),universal_class),
inference(er,[status(thm)],[c_0_3]) ).
cnf(c_0_7,negated_conjecture,
singleton(esk2_1(esk1_0)) = esk1_0,
inference(er,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : SET086+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.05/0.11 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 2400
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Oct 2 17:06:04 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.39 Running first-order theorem proving
% 0.15/0.39 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.ulhkU63XNa/E---3.1_5046.p
% 0.15/0.40 # Version: 3.1pre001
% 0.15/0.40 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.40 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.40 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.40 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.40 # Starting sh5l with 300s (1) cores
% 0.15/0.40 # new_bool_3 with pid 5129 completed with status 0
% 0.15/0.40 # Result found by new_bool_3
% 0.15/0.40 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.40 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.40 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.40 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.40 # Search class: FHHSF-FFSF11-SFFFFFNN
% 0.15/0.40 # partial match(1): FGHSF-FFSF11-SFFFFFNN
% 0.15/0.40 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.40 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 181s (1) cores
% 0.15/0.40 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 5133 completed with status 0
% 0.15/0.40 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 0.15/0.40 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.40 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.40 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.40 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.40 # Search class: FHHSF-FFSF11-SFFFFFNN
% 0.15/0.40 # partial match(1): FGHSF-FFSF11-SFFFFFNN
% 0.15/0.40 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.40 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 181s (1) cores
% 0.15/0.40 # Preprocessing time : 0.001 s
% 0.15/0.40 # Presaturation interreduction done
% 0.15/0.40
% 0.15/0.40 # Proof found!
% 0.15/0.40 # SZS status Theorem
% 0.15/0.40 # SZS output start CNFRefutation
% See solution above
% 0.15/0.40 # Parsed axioms : 44
% 0.15/0.40 # Removed by relevancy pruning/SinE : 43
% 0.15/0.40 # Initial clauses : 3
% 0.15/0.40 # Removed in clause preprocessing : 0
% 0.15/0.40 # Initial clauses in saturation : 3
% 0.15/0.40 # Processed clauses : 8
% 0.15/0.40 # ...of these trivial : 0
% 0.15/0.40 # ...subsumed : 0
% 0.15/0.40 # ...remaining for further processing : 8
% 0.15/0.40 # Other redundant clauses eliminated : 2
% 0.15/0.40 # Clauses deleted for lack of memory : 0
% 0.15/0.40 # Backward-subsumed : 0
% 0.15/0.40 # Backward-rewritten : 0
% 0.15/0.40 # Generated clauses : 3
% 0.15/0.40 # ...of the previous two non-redundant : 2
% 0.15/0.40 # ...aggressively subsumed : 0
% 0.15/0.40 # Contextual simplify-reflections : 0
% 0.15/0.40 # Paramodulations : 1
% 0.15/0.40 # Factorizations : 0
% 0.15/0.40 # NegExts : 0
% 0.15/0.40 # Equation resolutions : 2
% 0.15/0.40 # Total rewrite steps : 1
% 0.15/0.40 # Propositional unsat checks : 0
% 0.15/0.40 # Propositional check models : 0
% 0.15/0.40 # Propositional check unsatisfiable : 0
% 0.15/0.40 # Propositional clauses : 0
% 0.15/0.40 # Propositional clauses after purity: 0
% 0.15/0.40 # Propositional unsat core size : 0
% 0.15/0.40 # Propositional preprocessing time : 0.000
% 0.15/0.40 # Propositional encoding time : 0.000
% 0.15/0.40 # Propositional solver time : 0.000
% 0.15/0.40 # Success case prop preproc time : 0.000
% 0.15/0.40 # Success case prop encoding time : 0.000
% 0.15/0.40 # Success case prop solver time : 0.000
% 0.15/0.40 # Current number of processed clauses : 3
% 0.15/0.40 # Positive orientable unit clauses : 2
% 0.15/0.40 # Positive unorientable unit clauses: 0
% 0.15/0.40 # Negative unit clauses : 0
% 0.15/0.40 # Non-unit-clauses : 1
% 0.15/0.40 # Current number of unprocessed clauses: 0
% 0.15/0.40 # ...number of literals in the above : 0
% 0.15/0.40 # Current number of archived formulas : 0
% 0.15/0.40 # Current number of archived clauses : 3
% 0.15/0.40 # Clause-clause subsumption calls (NU) : 0
% 0.15/0.40 # Rec. Clause-clause subsumption calls : 0
% 0.15/0.40 # Non-unit clause-clause subsumptions : 0
% 0.15/0.40 # Unit Clause-clause subsumption calls : 0
% 0.15/0.40 # Rewrite failures with RHS unbound : 0
% 0.15/0.40 # BW rewrite match attempts : 0
% 0.15/0.40 # BW rewrite match successes : 0
% 0.15/0.40 # Condensation attempts : 0
% 0.15/0.40 # Condensation successes : 0
% 0.15/0.40 # Termbank termtop insertions : 639
% 0.15/0.40
% 0.15/0.40 # -------------------------------------------------
% 0.15/0.40 # User time : 0.003 s
% 0.15/0.40 # System time : 0.001 s
% 0.15/0.40 # Total time : 0.003 s
% 0.15/0.40 # Maximum resident set size: 1752 pages
% 0.15/0.40
% 0.15/0.40 # -------------------------------------------------
% 0.15/0.40 # User time : 0.005 s
% 0.15/0.40 # System time : 0.001 s
% 0.15/0.40 # Total time : 0.006 s
% 0.15/0.40 # Maximum resident set size: 1728 pages
% 0.15/0.40 % E---3.1 exiting
% 0.15/0.40 % E---3.1 exiting
%------------------------------------------------------------------------------