TSTP Solution File: SYO888_10 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SYO888_10 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 08:50:29 EDT 2024
% Result : Theorem 0.18s 0.49s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of formulae : 23 ( 9 unt; 9 typ; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 55 ( 16 ~; 12 |; 7 &)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 10 ( 5 >; 5 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 23 ( 0 sgn 23 !; 0 ?; 13 :)
% 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' ) > $o ).
tff(decl_24,type,
f: ( '$ki_world' * $i ) > $o ).
tff(decl_25,type,
g: ( '$ki_world' * $i ) > $o ).
tff(decl_26,type,
h: ( '$ki_world' * $i ) > $o ).
tff(decl_27,type,
'$ki_exists_in_world_$i': ( '$ki_world' * $i ) > $o ).
tff(decl_28,type,
esk1_0: $i ).
tff(decl_29,type,
esk2_0: '$ki_world' ).
tff(verify,conjecture,
( ( ! [X4] :
( '$ki_exists_in_world_$i'('$ki_local_world',X4)
=> ( f('$ki_local_world',X4)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> g(X1,X4) ) ) )
& ! [X4] :
( '$ki_exists_in_world_$i'('$ki_local_world',X4)
=> ( g('$ki_local_world',X4)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> h(X1,X4) ) ) ) )
=> ! [X4] :
( '$ki_exists_in_world_$i'('$ki_local_world',X4)
=> ( f('$ki_local_world',X4)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> h(X1,X4) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).
tff(mrel_reflexive,axiom,
! [X1: '$ki_world'] : '$ki_accessible'(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_reflexive) ).
tff(c_0_2,negated_conjecture,
~ ( ( ! [X4] :
( '$ki_exists_in_world_$i'('$ki_local_world',X4)
=> ( f('$ki_local_world',X4)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> g(X1,X4) ) ) )
& ! [X4] :
( '$ki_exists_in_world_$i'('$ki_local_world',X4)
=> ( g('$ki_local_world',X4)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> h(X1,X4) ) ) ) )
=> ! [X4] :
( '$ki_exists_in_world_$i'('$ki_local_world',X4)
=> ( f('$ki_local_world',X4)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> h(X1,X4) ) ) ) ),
inference(assume_negation,[status(cth)],[verify]) ).
tff(c_0_3,negated_conjecture,
! [X5,X6: '$ki_world',X7,X8: '$ki_world'] :
( ( ~ '$ki_exists_in_world_$i'('$ki_local_world',X5)
| ~ f('$ki_local_world',X5)
| ~ '$ki_accessible'('$ki_local_world',X6)
| g(X6,X5) )
& ( ~ '$ki_exists_in_world_$i'('$ki_local_world',X7)
| ~ g('$ki_local_world',X7)
| ~ '$ki_accessible'('$ki_local_world',X8)
| h(X8,X7) )
& '$ki_exists_in_world_$i'('$ki_local_world',esk1_0)
& f('$ki_local_world',esk1_0)
& '$ki_accessible'('$ki_local_world',esk2_0)
& ~ h(esk2_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])])])])]) ).
tcf(c_0_4,negated_conjecture,
~ h(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
tcf(c_0_5,negated_conjecture,
! [X4,X1: '$ki_world'] :
( h(X1,X4)
| ~ '$ki_exists_in_world_$i'('$ki_local_world',X4)
| ~ g('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
tcf(c_0_6,negated_conjecture,
'$ki_exists_in_world_$i'('$ki_local_world',esk1_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
tcf(c_0_7,negated_conjecture,
'$ki_accessible'('$ki_local_world',esk2_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
tff(c_0_8,plain,
! [X11: '$ki_world'] : '$ki_accessible'(X11,X11),
inference(variable_rename,[status(thm)],[mrel_reflexive]) ).
tcf(c_0_9,negated_conjecture,
~ g('$ki_local_world',esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_6]),c_0_7])]) ).
tcf(c_0_10,negated_conjecture,
! [X4,X1: '$ki_world'] :
( g(X1,X4)
| ~ '$ki_exists_in_world_$i'('$ki_local_world',X4)
| ~ f('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
tcf(c_0_11,negated_conjecture,
f('$ki_local_world',esk1_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
tcf(c_0_12,plain,
! [X1: '$ki_world'] : '$ki_accessible'(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,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_9,c_0_10]),c_0_6]),c_0_11]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO888_10 : TPTP v8.2.0. Released v8.2.0.
% 0.12/0.14 % Command : run_E %s %d THM
% 0.12/0.35 % Computer : n019.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Mon May 20 10:46:52 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.18/0.48 Running first-order theorem proving
% 0.18/0.48 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49 # Version: 3.1.0
% 0.18/0.49 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.49 # Starting sh5l with 300s (1) cores
% 0.18/0.49 # new_bool_1 with pid 24415 completed with status 0
% 0.18/0.49 # Result found by new_bool_1
% 0.18/0.49 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.49 # Search class: FHUNS-FFSS11-SFFFFFNN
% 0.18/0.49 # partial match(1): FHUNS-FFSF11-SFFFFFNN
% 0.18/0.49 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.49 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.18/0.49 # SAT001_MinMin_p005000_rr_RG with pid 24417 completed with status 0
% 0.18/0.49 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.18/0.49 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.49 # Search class: FHUNS-FFSS11-SFFFFFNN
% 0.18/0.49 # partial match(1): FHUNS-FFSF11-SFFFFFNN
% 0.18/0.49 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.49 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.18/0.49 # Preprocessing time : 0.001 s
% 0.18/0.49 # Presaturation interreduction done
% 0.18/0.49
% 0.18/0.49 # Proof found!
% 0.18/0.49 # SZS status Theorem
% 0.18/0.49 # SZS output start CNFRefutation
% See solution above
% 0.18/0.49 # Parsed axioms : 11
% 0.18/0.49 # Removed by relevancy pruning/SinE : 7
% 0.18/0.49 # Initial clauses : 9
% 0.18/0.49 # Removed in clause preprocessing : 0
% 0.18/0.49 # Initial clauses in saturation : 9
% 0.18/0.49 # Processed clauses : 20
% 0.18/0.49 # ...of these trivial : 0
% 0.18/0.49 # ...subsumed : 0
% 0.18/0.49 # ...remaining for further processing : 20
% 0.18/0.49 # Other redundant clauses eliminated : 0
% 0.18/0.49 # Clauses deleted for lack of memory : 0
% 0.18/0.49 # Backward-subsumed : 0
% 0.18/0.49 # Backward-rewritten : 0
% 0.18/0.49 # Generated clauses : 5
% 0.18/0.49 # ...of the previous two non-redundant : 3
% 0.18/0.49 # ...aggressively subsumed : 0
% 0.18/0.49 # Contextual simplify-reflections : 0
% 0.18/0.49 # Paramodulations : 5
% 0.18/0.49 # Factorizations : 0
% 0.18/0.49 # NegExts : 0
% 0.18/0.49 # Equation resolutions : 0
% 0.18/0.49 # Disequality decompositions : 0
% 0.18/0.49 # Total rewrite steps : 5
% 0.18/0.49 # ...of those cached : 1
% 0.18/0.49 # Propositional unsat checks : 0
% 0.18/0.49 # Propositional check models : 0
% 0.18/0.49 # Propositional check unsatisfiable : 0
% 0.18/0.49 # Propositional clauses : 0
% 0.18/0.49 # Propositional clauses after purity: 0
% 0.18/0.49 # Propositional unsat core size : 0
% 0.18/0.49 # Propositional preprocessing time : 0.000
% 0.18/0.49 # Propositional encoding time : 0.000
% 0.18/0.49 # Propositional solver time : 0.000
% 0.18/0.49 # Success case prop preproc time : 0.000
% 0.18/0.49 # Success case prop encoding time : 0.000
% 0.18/0.49 # Success case prop solver time : 0.000
% 0.18/0.49 # Current number of processed clauses : 11
% 0.18/0.49 # Positive orientable unit clauses : 5
% 0.18/0.49 # Positive unorientable unit clauses: 0
% 0.18/0.49 # Negative unit clauses : 2
% 0.18/0.49 # Non-unit-clauses : 4
% 0.18/0.49 # Current number of unprocessed clauses: 1
% 0.18/0.49 # ...number of literals in the above : 3
% 0.18/0.49 # Current number of archived formulas : 0
% 0.18/0.49 # Current number of archived clauses : 9
% 0.18/0.49 # Clause-clause subsumption calls (NU) : 0
% 0.18/0.49 # Rec. Clause-clause subsumption calls : 0
% 0.18/0.49 # Non-unit clause-clause subsumptions : 0
% 0.18/0.49 # Unit Clause-clause subsumption calls : 3
% 0.18/0.49 # Rewrite failures with RHS unbound : 0
% 0.18/0.49 # BW rewrite match attempts : 1
% 0.18/0.49 # BW rewrite match successes : 0
% 0.18/0.49 # Condensation attempts : 0
% 0.18/0.49 # Condensation successes : 0
% 0.18/0.49 # Termbank termtop insertions : 790
% 0.18/0.49 # Search garbage collected termcells : 190
% 0.18/0.49
% 0.18/0.49 # -------------------------------------------------
% 0.18/0.49 # User time : 0.003 s
% 0.18/0.49 # System time : 0.001 s
% 0.18/0.49 # Total time : 0.004 s
% 0.18/0.49 # Maximum resident set size: 1772 pages
% 0.18/0.49
% 0.18/0.49 # -------------------------------------------------
% 0.18/0.49 # User time : 0.004 s
% 0.18/0.49 # System time : 0.003 s
% 0.18/0.49 # Total time : 0.007 s
% 0.18/0.49 # Maximum resident set size: 1708 pages
% 0.18/0.49 % E---3.1 exiting
% 0.18/0.49 % E exiting
%------------------------------------------------------------------------------