TSTP Solution File: LCL961_11 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : LCL961_11 : TPTP v8.2.0. Released v8.2.0.
% 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 : Mon May 20 23:55:01 EDT 2024
% Result : Theorem 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of formulae : 19 ( 6 unt; 9 typ; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 35 ( 7 ~; 5 |; 7 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 4 ( 3 >; 1 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
'$ki_world': $tType ).
tff(decl_22,type,
'$ki_local_world': '$ki_world' ).
tff(decl_23,type,
'$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).
tff(decl_24,type,
p: '$ki_world' > $o ).
tff(decl_25,type,
q: '$ki_world' > $o ).
tff(decl_26,type,
esk1_0: '$ki_world' ).
tff(decl_27,type,
esk2_0: '$ki_world' ).
tff(decl_28,type,
esk3_0: '$ki_world' ).
tff(decl_29,type,
esk4_0: '$ki_world' ).
tff(verify,conjecture,
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ( ! [X3: '$ki_world'] :
( '$ki_accessible'(X1,X3)
=> p(X3) )
=> ! [X3: '$ki_world'] :
( '$ki_accessible'(X1,X3)
=> q(X3) ) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ( ! [X3: '$ki_world'] :
( '$ki_accessible'(X1,X3)
=> q(X3) )
=> ! [X3: '$ki_world'] :
( '$ki_accessible'(X1,X3)
=> p(X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
tff(mrel_universal,axiom,
! [X1: '$ki_world',X2: '$ki_world'] : '$ki_accessible'(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_universal) ).
tff(c_0_2,negated_conjecture,
~ ( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ( ! [X3: '$ki_world'] :
( '$ki_accessible'(X1,X3)
=> p(X3) )
=> ! [X3: '$ki_world'] :
( '$ki_accessible'(X1,X3)
=> q(X3) ) ) )
| ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ( ! [X3: '$ki_world'] :
( '$ki_accessible'(X1,X3)
=> q(X3) )
=> ! [X3: '$ki_world'] :
( '$ki_accessible'(X1,X3)
=> p(X3) ) ) ) ),
inference(assume_negation,[status(cth)],[verify]) ).
tff(c_0_3,negated_conjecture,
! [X5: '$ki_world',X8: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',esk1_0)
& ( ~ '$ki_accessible'(esk1_0,X5)
| p(X5) )
& '$ki_accessible'(esk1_0,esk2_0)
& ~ q(esk2_0)
& '$ki_accessible'('$ki_local_world',esk3_0)
& ( ~ '$ki_accessible'(esk3_0,X8)
| q(X8) )
& '$ki_accessible'(esk3_0,esk4_0)
& ~ p(esk4_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])])])])]) ).
tff(c_0_4,plain,
! [X10: '$ki_world',X11: '$ki_world'] : '$ki_accessible'(X10,X11),
inference(variable_rename,[status(thm)],[mrel_universal]) ).
tcf(c_0_5,negated_conjecture,
! [X1: '$ki_world'] :
( p(X1)
| ~ '$ki_accessible'(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
tcf(c_0_6,plain,
! [X1: '$ki_world',X2: '$ki_world'] : '$ki_accessible'(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
tcf(c_0_7,negated_conjecture,
~ p(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
tcf(c_0_8,negated_conjecture,
! [X1: '$ki_world'] : p(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6])]) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LCL961_11 : TPTP v8.2.0. Released v8.2.0.
% 0.00/0.09 % Command : run_E %s %d THM
% 0.08/0.29 % Computer : n023.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Mon May 20 01:22:38 EDT 2024
% 0.08/0.29 % CPUTime :
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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/benchmark/theBenchmark.p
% 0.13/0.40 # Version: 3.1.0
% 0.13/0.40 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.13/0.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.40 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.13/0.40 # Starting new_bool_3 with 300s (1) cores
% 0.13/0.40 # Starting new_bool_1 with 300s (1) cores
% 0.13/0.40 # Starting sh5l with 300s (1) cores
% 0.13/0.40 # new_bool_3 with pid 8949 completed with status 0
% 0.13/0.40 # Result found by new_bool_3
% 0.13/0.40 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.13/0.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.40 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.13/0.40 # Starting new_bool_3 with 300s (1) cores
% 0.13/0.40 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.40 # Search class: FHUNF-FFSS00-SFFFFFNN
% 0.13/0.40 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.40 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.13/0.40 # SAT001_MinMin_p005000_rr_RG with pid 8956 completed with status 0
% 0.13/0.40 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.13/0.40 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.13/0.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.40 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.13/0.40 # Starting new_bool_3 with 300s (1) cores
% 0.13/0.40 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.40 # Search class: FHUNF-FFSS00-SFFFFFNN
% 0.13/0.40 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.40 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.13/0.40 # Preprocessing time : 0.001 s
% 0.13/0.40 # Presaturation interreduction done
% 0.13/0.40
% 0.13/0.40 # Proof found!
% 0.13/0.40 # SZS status Theorem
% 0.13/0.40 # SZS output start CNFRefutation
% See solution above
% 0.13/0.40 # Parsed axioms : 7
% 0.13/0.40 # Removed by relevancy pruning/SinE : 5
% 0.13/0.40 # Initial clauses : 9
% 0.13/0.40 # Removed in clause preprocessing : 0
% 0.13/0.40 # Initial clauses in saturation : 9
% 0.13/0.40 # Processed clauses : 8
% 0.13/0.40 # ...of these trivial : 0
% 0.13/0.40 # ...subsumed : 0
% 0.13/0.40 # ...remaining for further processing : 8
% 0.13/0.40 # Other redundant clauses eliminated : 0
% 0.13/0.40 # Clauses deleted for lack of memory : 0
% 0.13/0.40 # Backward-subsumed : 0
% 0.13/0.40 # Backward-rewritten : 5
% 0.13/0.40 # Generated clauses : 0
% 0.13/0.40 # ...of the previous two non-redundant : 0
% 0.13/0.40 # ...aggressively subsumed : 0
% 0.13/0.40 # Contextual simplify-reflections : 0
% 0.13/0.40 # Paramodulations : 0
% 0.13/0.40 # Factorizations : 0
% 0.13/0.40 # NegExts : 0
% 0.13/0.40 # Equation resolutions : 0
% 0.13/0.40 # Disequality decompositions : 0
% 0.13/0.40 # Total rewrite steps : 6
% 0.13/0.40 # ...of those cached : 0
% 0.13/0.40 # Propositional unsat checks : 0
% 0.13/0.40 # Propositional check models : 0
% 0.13/0.40 # Propositional check unsatisfiable : 0
% 0.13/0.40 # Propositional clauses : 0
% 0.13/0.40 # Propositional clauses after purity: 0
% 0.13/0.40 # Propositional unsat core size : 0
% 0.13/0.40 # Propositional preprocessing time : 0.000
% 0.13/0.40 # Propositional encoding time : 0.000
% 0.13/0.40 # Propositional solver time : 0.000
% 0.13/0.40 # Success case prop preproc time : 0.000
% 0.13/0.40 # Success case prop encoding time : 0.000
% 0.13/0.40 # Success case prop solver time : 0.000
% 0.13/0.40 # Current number of processed clauses : 3
% 0.13/0.40 # Positive orientable unit clauses : 2
% 0.13/0.40 # Positive unorientable unit clauses: 0
% 0.13/0.40 # Negative unit clauses : 1
% 0.13/0.40 # Non-unit-clauses : 0
% 0.13/0.40 # Current number of unprocessed clauses: 1
% 0.13/0.40 # ...number of literals in the above : 2
% 0.13/0.40 # Current number of archived formulas : 0
% 0.13/0.40 # Current number of archived clauses : 5
% 0.13/0.40 # Clause-clause subsumption calls (NU) : 0
% 0.13/0.40 # Rec. Clause-clause subsumption calls : 0
% 0.13/0.40 # Non-unit clause-clause subsumptions : 0
% 0.13/0.40 # Unit Clause-clause subsumption calls : 0
% 0.13/0.40 # Rewrite failures with RHS unbound : 0
% 0.13/0.40 # BW rewrite match attempts : 5
% 0.13/0.40 # BW rewrite match successes : 5
% 0.13/0.40 # Condensation attempts : 0
% 0.13/0.40 # Condensation successes : 0
% 0.13/0.40 # Termbank termtop insertions : 426
% 0.13/0.40 # Search garbage collected termcells : 132
% 0.13/0.40
% 0.13/0.40 # -------------------------------------------------
% 0.13/0.40 # User time : 0.002 s
% 0.13/0.40 # System time : 0.002 s
% 0.13/0.40 # Total time : 0.003 s
% 0.13/0.40 # Maximum resident set size: 1732 pages
% 0.13/0.40
% 0.13/0.40 # -------------------------------------------------
% 0.13/0.40 # User time : 0.002 s
% 0.13/0.40 # System time : 0.004 s
% 0.13/0.40 # Total time : 0.006 s
% 0.13/0.40 # Maximum resident set size: 1700 pages
% 0.13/0.40 % E---3.1 exiting
% 0.13/0.40 % E exiting
%------------------------------------------------------------------------------