TSTP Solution File: SEU535^2 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEU535^2 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n023.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 : 300s
% WCLimit : 300s
% DateTime : Tue May 21 03:28:01 EDT 2024
% Result : Theorem 0.20s 0.48s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 12 ( 3 unt; 5 typ; 0 def)
% Number of atoms : 12 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 4 ~; 1 |; 2 &; 19 @)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 11 ( 0 ^ 11 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
in: $i > $i > $o ).
thf(decl_23,type,
emptyset: $i ).
thf(decl_24,type,
emptysetE: $o ).
thf(decl_25,type,
epred1_0: $i > $o ).
thf(decl_26,type,
esk1_0: $i ).
thf(vacuousDall,conjecture,
( emptysetE
=> ! [X3: $i > $o,X1: $i] :
( ( in @ X1 @ emptyset )
=> ( X3 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',vacuousDall) ).
thf(emptysetE,axiom,
( emptysetE
<=> ! [X1: $i] :
( ( in @ X1 @ emptyset )
=> ! [X2: $o] : X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptysetE) ).
thf(c_0_2,negated_conjecture,
~ ( ! [X8: $i] :
( ( in @ X8 @ emptyset )
=> ! [X9: $o] : X9 )
=> ! [X3: $i > $o,X1: $i] :
( ( in @ X1 @ emptyset )
=> ( X3 @ X1 ) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[vacuousDall]),emptysetE]) ).
thf(c_0_3,negated_conjecture,
! [X10: $i,X11: $o] :
( ( ~ ( in @ X10 @ emptyset )
| X11 )
& ( in @ esk1_0 @ emptyset )
& ~ ( epred1_0 @ esk1_0 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).
thf(c_0_4,negated_conjecture,
in @ esk1_0 @ emptyset,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
! [X1: $i] :
~ ( in @ X1 @ emptyset ),
inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3])])]) ).
thf(c_0_6,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_4,c_0_5]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU535^2 : TPTP v8.2.0. Released v3.7.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 17:20:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running higher-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 # Version: 3.1.0-ho
% 0.20/0.48 # Preprocessing class: HSSSSMSSSLSNSSA.
% 0.20/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48 # Starting new_ho_10 with 1500s (5) cores
% 0.20/0.48 # Starting sh5l with 300s (1) cores
% 0.20/0.48 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.48 # Starting new_bool_2 with 300s (1) cores
% 0.20/0.48 # new_bool_1 with pid 25419 completed with status 0
% 0.20/0.48 # Result found by new_bool_1
% 0.20/0.48 # Preprocessing class: HSSSSMSSSLSNSSA.
% 0.20/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48 # Starting new_ho_10 with 1500s (5) cores
% 0.20/0.48 # Starting sh5l with 300s (1) cores
% 0.20/0.48 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.48 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.48 # Search class: HUUNF-FFSF00-SSSFMFNN
% 0.20/0.48 # partial match(1): HUUNF-FFSF00-SSSFFFNN
% 0.20/0.48 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.48 # Starting new_ho_10 with 181s (1) cores
% 0.20/0.48 # new_ho_10 with pid 25421 completed with status 0
% 0.20/0.48 # Result found by new_ho_10
% 0.20/0.48 # Preprocessing class: HSSSSMSSSLSNSSA.
% 0.20/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48 # Starting new_ho_10 with 1500s (5) cores
% 0.20/0.48 # Starting sh5l with 300s (1) cores
% 0.20/0.48 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.48 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.48 # Search class: HUUNF-FFSF00-SSSFMFNN
% 0.20/0.48 # partial match(1): HUUNF-FFSF00-SSSFFFNN
% 0.20/0.48 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.48 # Starting new_ho_10 with 181s (1) cores
% 0.20/0.48 # Preprocessing time : 0.002 s
% 0.20/0.48 # Presaturation interreduction done
% 0.20/0.48
% 0.20/0.48 # Proof found!
% 0.20/0.48 # SZS status Theorem
% 0.20/0.48 # SZS output start CNFRefutation
% See solution above
% 0.20/0.48 # Parsed axioms : 5
% 0.20/0.48 # Removed by relevancy pruning/SinE : 3
% 0.20/0.48 # Initial clauses : 3
% 0.20/0.48 # Removed in clause preprocessing : 0
% 0.20/0.48 # Initial clauses in saturation : 3
% 0.20/0.48 # Processed clauses : 3
% 0.20/0.48 # ...of these trivial : 0
% 0.20/0.48 # ...subsumed : 0
% 0.20/0.48 # ...remaining for further processing : 3
% 0.20/0.48 # Other redundant clauses eliminated : 0
% 0.20/0.48 # Clauses deleted for lack of memory : 0
% 0.20/0.48 # Backward-subsumed : 0
% 0.20/0.48 # Backward-rewritten : 0
% 0.20/0.48 # Generated clauses : 1
% 0.20/0.48 # ...of the previous two non-redundant : 0
% 0.20/0.48 # ...aggressively subsumed : 0
% 0.20/0.48 # Contextual simplify-reflections : 0
% 0.20/0.48 # Paramodulations : 0
% 0.20/0.48 # Factorizations : 0
% 0.20/0.48 # NegExts : 0
% 0.20/0.48 # Equation resolutions : 0
% 0.20/0.48 # Disequality decompositions : 0
% 0.20/0.48 # Total rewrite steps : 0
% 0.20/0.48 # ...of those cached : 0
% 0.20/0.48 # Propositional unsat checks : 0
% 0.20/0.48 # Propositional check models : 0
% 0.20/0.48 # Propositional check unsatisfiable : 0
% 0.20/0.48 # Propositional clauses : 0
% 0.20/0.48 # Propositional clauses after purity: 0
% 0.20/0.48 # Propositional unsat core size : 0
% 0.20/0.48 # Propositional preprocessing time : 0.000
% 0.20/0.48 # Propositional encoding time : 0.000
% 0.20/0.48 # Propositional solver time : 0.000
% 0.20/0.48 # Success case prop preproc time : 0.000
% 0.20/0.48 # Success case prop encoding time : 0.000
% 0.20/0.48 # Success case prop solver time : 0.000
% 0.20/0.48 # Current number of processed clauses : 2
% 0.20/0.48 # Positive orientable unit clauses : 0
% 0.20/0.48 # Positive unorientable unit clauses: 0
% 0.20/0.48 # Negative unit clauses : 2
% 0.20/0.48 # Non-unit-clauses : 0
% 0.20/0.48 # Current number of unprocessed clauses: 0
% 0.20/0.48 # ...number of literals in the above : 0
% 0.20/0.48 # Current number of archived formulas : 0
% 0.20/0.48 # Current number of archived clauses : 1
% 0.20/0.48 # Clause-clause subsumption calls (NU) : 0
% 0.20/0.48 # Rec. Clause-clause subsumption calls : 0
% 0.20/0.48 # Non-unit clause-clause subsumptions : 0
% 0.20/0.48 # Unit Clause-clause subsumption calls : 0
% 0.20/0.48 # Rewrite failures with RHS unbound : 0
% 0.20/0.48 # BW rewrite match attempts : 0
% 0.20/0.48 # BW rewrite match successes : 0
% 0.20/0.48 # Condensation attempts : 3
% 0.20/0.48 # Condensation successes : 0
% 0.20/0.48 # Termbank termtop insertions : 233
% 0.20/0.48 # Search garbage collected termcells : 96
% 0.20/0.48
% 0.20/0.48 # -------------------------------------------------
% 0.20/0.48 # User time : 0.003 s
% 0.20/0.48 # System time : 0.002 s
% 0.20/0.48 # Total time : 0.005 s
% 0.20/0.48 # Maximum resident set size: 1792 pages
% 0.20/0.48
% 0.20/0.48 # -------------------------------------------------
% 0.20/0.48 # User time : 0.004 s
% 0.20/0.48 # System time : 0.004 s
% 0.20/0.48 # Total time : 0.008 s
% 0.20/0.48 # Maximum resident set size: 1704 pages
% 0.20/0.48 % E---3.1 exiting
% 0.20/0.48 % E exiting
%------------------------------------------------------------------------------