TSTP Solution File: SWB016+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWB016+1 : TPTP v8.1.2. Released v5.2.0.
% 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:36:10 EDT 2023
% Result : Theorem 0.42s 0.67s
% Output : CNFRefutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 41 ( 11 unt; 0 def)
% Number of atoms : 145 ( 0 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 168 ( 64 ~; 73 |; 21 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 70 ( 4 sgn; 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_eqdis_equivalentclass,axiom,
! [X13,X15] :
( iext(uri_owl_equivalentClass,X13,X15)
<=> ( ic(X13)
& ic(X15)
& ! [X4] :
( icext(X13,X4)
<=> icext(X15,X4) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.0p4Q9MeMre/E---3.1_22368.p',owl_eqdis_equivalentclass) ).
fof(owl_rdfsext_subpropertyof,axiom,
! [X33,X34] :
( iext(uri_rdfs_subPropertyOf,X33,X34)
<=> ( ip(X33)
& ip(X34)
& ! [X4,X7] :
( iext(X33,X4,X7)
=> iext(X34,X4,X7) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.0p4Q9MeMre/E---3.1_22368.p',owl_rdfsext_subpropertyof) ).
fof(owl_prop_equivalentclass_ext,axiom,
! [X4,X7] :
( iext(uri_owl_equivalentClass,X4,X7)
=> ( ic(X4)
& ic(X7) ) ),
file('/export/starexec/sandbox2/tmp/tmp.0p4Q9MeMre/E---3.1_22368.p',owl_prop_equivalentclass_ext) ).
fof(owl_parts_idc_cond_set,axiom,
! [X4] :
( idc(X4)
=> ic(X4) ),
file('/export/starexec/sandbox2/tmp/tmp.0p4Q9MeMre/E---3.1_22368.p',owl_parts_idc_cond_set) ).
fof(owl_rdfsext_subclassof,axiom,
! [X13,X15] :
( iext(uri_rdfs_subClassOf,X13,X15)
<=> ( ic(X13)
& ic(X15)
& ! [X4] :
( icext(X13,X4)
=> icext(X15,X4) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.0p4Q9MeMre/E---3.1_22368.p',owl_rdfsext_subclassof) ).
fof(owl_prop_equivalentclass_type,axiom,
ip(uri_owl_equivalentClass),
file('/export/starexec/sandbox2/tmp/tmp.0p4Q9MeMre/E---3.1_22368.p',owl_prop_equivalentclass_type) ).
fof(rdfs_class_instsub_resource,axiom,
! [X5] :
( ic(X5)
=> iext(uri_rdfs_subClassOf,X5,uri_rdfs_Resource) ),
file('/export/starexec/sandbox2/tmp/tmp.0p4Q9MeMre/E---3.1_22368.p',rdfs_class_instsub_resource) ).
fof(owl_dat_dtype_nonnegativeinteger_type,axiom,
idc(uri_xsd_nonNegativeInteger),
file('/export/starexec/sandbox2/tmp/tmp.0p4Q9MeMre/E---3.1_22368.p',owl_dat_dtype_nonnegativeinteger_type) ).
fof(simple_iext_property,axiom,
! [X1,X2,X3] :
( iext(X2,X1,X3)
=> ip(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.0p4Q9MeMre/E---3.1_22368.p',simple_iext_property) ).
fof(testcase_conclusion_fullish_016_Reflective_Tautologies_II,conjecture,
iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
file('/export/starexec/sandbox2/tmp/tmp.0p4Q9MeMre/E---3.1_22368.p',testcase_conclusion_fullish_016_Reflective_Tautologies_II) ).
fof(c_0_10,plain,
! [X58,X59,X60,X61,X62,X63] :
( ( ic(X58)
| ~ iext(uri_owl_equivalentClass,X58,X59) )
& ( ic(X59)
| ~ iext(uri_owl_equivalentClass,X58,X59) )
& ( ~ icext(X58,X60)
| icext(X59,X60)
| ~ iext(uri_owl_equivalentClass,X58,X59) )
& ( ~ icext(X59,X61)
| icext(X58,X61)
| ~ iext(uri_owl_equivalentClass,X58,X59) )
& ( ~ icext(X62,esk2_2(X62,X63))
| ~ icext(X63,esk2_2(X62,X63))
| ~ ic(X62)
| ~ ic(X63)
| iext(uri_owl_equivalentClass,X62,X63) )
& ( icext(X62,esk2_2(X62,X63))
| icext(X63,esk2_2(X62,X63))
| ~ ic(X62)
| ~ ic(X63)
| iext(uri_owl_equivalentClass,X62,X63) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_equivalentclass])])])])])]) ).
fof(c_0_11,plain,
! [X73,X74,X75,X76,X77,X78] :
( ( ip(X73)
| ~ iext(uri_rdfs_subPropertyOf,X73,X74) )
& ( ip(X74)
| ~ iext(uri_rdfs_subPropertyOf,X73,X74) )
& ( ~ iext(X73,X75,X76)
| iext(X74,X75,X76)
| ~ iext(uri_rdfs_subPropertyOf,X73,X74) )
& ( iext(X77,esk3_2(X77,X78),esk4_2(X77,X78))
| ~ ip(X77)
| ~ ip(X78)
| iext(uri_rdfs_subPropertyOf,X77,X78) )
& ( ~ iext(X78,esk3_2(X77,X78),esk4_2(X77,X78))
| ~ ip(X77)
| ~ ip(X78)
| iext(uri_rdfs_subPropertyOf,X77,X78) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_rdfsext_subpropertyof])])])])])]) ).
fof(c_0_12,plain,
! [X56,X57] :
( ( ic(X56)
| ~ iext(uri_owl_equivalentClass,X56,X57) )
& ( ic(X57)
| ~ iext(uri_owl_equivalentClass,X56,X57) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_equivalentclass_ext])])]) ).
fof(c_0_13,plain,
! [X87] :
( ~ idc(X87)
| ic(X87) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_parts_idc_cond_set])]) ).
fof(c_0_14,plain,
! [X50,X51,X52,X53,X54] :
( ( ic(X50)
| ~ iext(uri_rdfs_subClassOf,X50,X51) )
& ( ic(X51)
| ~ iext(uri_rdfs_subClassOf,X50,X51) )
& ( ~ icext(X50,X52)
| icext(X51,X52)
| ~ iext(uri_rdfs_subClassOf,X50,X51) )
& ( icext(X53,esk1_2(X53,X54))
| ~ ic(X53)
| ~ ic(X54)
| iext(uri_rdfs_subClassOf,X53,X54) )
& ( ~ icext(X54,esk1_2(X53,X54))
| ~ ic(X53)
| ~ ic(X54)
| iext(uri_rdfs_subClassOf,X53,X54) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_rdfsext_subclassof])])])])])]) ).
cnf(c_0_15,plain,
( icext(X3,X2)
| ~ icext(X1,X2)
| ~ iext(uri_owl_equivalentClass,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
( iext(X1,esk3_2(X1,X2),esk4_2(X1,X2))
| iext(uri_rdfs_subPropertyOf,X1,X2)
| ~ ip(X1)
| ~ ip(X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
ip(uri_owl_equivalentClass),
inference(split_conjunct,[status(thm)],[owl_prop_equivalentclass_type]) ).
cnf(c_0_18,plain,
( ic(X1)
| ~ iext(uri_owl_equivalentClass,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_19,plain,
! [X42] :
( ~ ic(X42)
| iext(uri_rdfs_subClassOf,X42,uri_rdfs_Resource) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_class_instsub_resource])]) ).
cnf(c_0_20,plain,
( ic(X1)
| ~ idc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,plain,
idc(uri_xsd_nonNegativeInteger),
inference(split_conjunct,[status(thm)],[owl_dat_dtype_nonnegativeinteger_type]) ).
fof(c_0_22,plain,
! [X115,X116,X117] :
( ~ iext(X116,X115,X117)
| ip(X116) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[simple_iext_property])]) ).
cnf(c_0_23,plain,
( iext(uri_rdfs_subClassOf,X2,X1)
| ~ icext(X1,esk1_2(X2,X1))
| ~ ic(X2)
| ~ ic(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,plain,
( icext(esk4_2(uri_owl_equivalentClass,X1),X2)
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,X1)
| ~ icext(esk3_2(uri_owl_equivalentClass,X1),X2)
| ~ ip(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).
cnf(c_0_25,plain,
( ic(esk4_2(uri_owl_equivalentClass,X1))
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,X1)
| ~ ip(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_16]),c_0_17])]) ).
cnf(c_0_26,plain,
( ic(X1)
| ~ iext(uri_owl_equivalentClass,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_27,plain,
( iext(uri_rdfs_subClassOf,X1,uri_rdfs_Resource)
| ~ ic(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_28,plain,
ic(uri_xsd_nonNegativeInteger),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_29,plain,
( iext(uri_rdfs_subPropertyOf,X2,X1)
| ~ iext(X1,esk3_2(X2,X1),esk4_2(X2,X1))
| ~ ip(X2)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_30,plain,
( ip(X1)
| ~ iext(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,plain,
( iext(uri_rdfs_subClassOf,X1,esk4_2(uri_owl_equivalentClass,X2))
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,X2)
| ~ ic(X1)
| ~ icext(esk3_2(uri_owl_equivalentClass,X2),esk1_2(X1,esk4_2(uri_owl_equivalentClass,X2)))
| ~ ip(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_32,plain,
( icext(X1,esk1_2(X1,X2))
| iext(uri_rdfs_subClassOf,X1,X2)
| ~ ic(X1)
| ~ ic(X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_33,plain,
( ic(esk3_2(uri_owl_equivalentClass,X1))
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,X1)
| ~ ip(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_16]),c_0_17])]) ).
cnf(c_0_34,plain,
iext(uri_rdfs_subClassOf,uri_xsd_nonNegativeInteger,uri_rdfs_Resource),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
fof(c_0_35,negated_conjecture,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_016_Reflective_Tautologies_II])]) ).
cnf(c_0_36,plain,
( iext(uri_rdfs_subPropertyOf,X1,X2)
| ~ ip(X1)
| ~ iext(X2,esk3_2(X1,X2),esk4_2(X1,X2)) ),
inference(csr,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_37,plain,
( iext(uri_rdfs_subClassOf,esk3_2(uri_owl_equivalentClass,X1),esk4_2(uri_owl_equivalentClass,X1))
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,X1)
| ~ ip(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_25]),c_0_33]) ).
cnf(c_0_38,plain,
ip(uri_rdfs_subClassOf),
inference(spm,[status(thm)],[c_0_30,c_0_34]) ).
cnf(c_0_39,negated_conjecture,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_40,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_17]),c_0_38])]),c_0_39]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.15/0.15 % Problem : SWB016+1 : TPTP v8.1.2. Released v5.2.0.
% 0.15/0.16 % Command : run_E %s %d THM
% 0.16/0.37 % Computer : n019.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 2400
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon Oct 2 20:27:36 EDT 2023
% 0.16/0.38 % CPUTime :
% 0.42/0.56 Running first-order theorem proving
% 0.42/0.56 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/tmp/tmp.0p4Q9MeMre/E---3.1_22368.p
% 0.42/0.67 # Version: 3.1pre001
% 0.42/0.67 # Preprocessing class: FSLMSMSLSSSNFFN.
% 0.42/0.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.42/0.67 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.42/0.67 # Starting new_bool_3 with 600s (2) cores
% 0.42/0.67 # Starting new_bool_1 with 600s (2) cores
% 0.42/0.67 # Starting sh5l with 300s (1) cores
% 0.42/0.67 # new_bool_3 with pid 22447 completed with status 0
% 0.42/0.67 # Result found by new_bool_3
% 0.42/0.67 # Preprocessing class: FSLMSMSLSSSNFFN.
% 0.42/0.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.42/0.67 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.42/0.67 # Starting new_bool_3 with 600s (2) cores
% 0.42/0.67 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.42/0.67 # Search class: FGUNF-FFMM22-SFFFFFNN
% 0.42/0.67 # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.42/0.67 # Starting SAT001_MinMin_p005000_rr_RG with 361s (1) cores
% 0.42/0.67 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 61s (1) cores
% 0.42/0.67 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 22453 completed with status 0
% 0.42/0.67 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.42/0.67 # Preprocessing class: FSLMSMSLSSSNFFN.
% 0.42/0.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.42/0.67 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.42/0.67 # Starting new_bool_3 with 600s (2) cores
% 0.42/0.67 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.42/0.67 # Search class: FGUNF-FFMM22-SFFFFFNN
% 0.42/0.67 # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.42/0.67 # Starting SAT001_MinMin_p005000_rr_RG with 361s (1) cores
% 0.42/0.67 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 61s (1) cores
% 0.42/0.67 # Preprocessing time : 0.004 s
% 0.42/0.67 # Presaturation interreduction done
% 0.42/0.67
% 0.42/0.67 # Proof found!
% 0.42/0.67 # SZS status Theorem
% 0.42/0.67 # SZS output start CNFRefutation
% See solution above
% 0.42/0.67 # Parsed axioms : 559
% 0.42/0.67 # Removed by relevancy pruning/SinE : 501
% 0.42/0.67 # Initial clauses : 95
% 0.42/0.67 # Removed in clause preprocessing : 0
% 0.42/0.67 # Initial clauses in saturation : 95
% 0.42/0.67 # Processed clauses : 1390
% 0.42/0.67 # ...of these trivial : 35
% 0.42/0.67 # ...subsumed : 698
% 0.42/0.67 # ...remaining for further processing : 657
% 0.42/0.67 # Other redundant clauses eliminated : 0
% 0.42/0.67 # Clauses deleted for lack of memory : 0
% 0.42/0.67 # Backward-subsumed : 0
% 0.42/0.67 # Backward-rewritten : 4
% 0.42/0.67 # Generated clauses : 3020
% 0.42/0.67 # ...of the previous two non-redundant : 2059
% 0.42/0.67 # ...aggressively subsumed : 0
% 0.42/0.67 # Contextual simplify-reflections : 23
% 0.42/0.67 # Paramodulations : 3020
% 0.42/0.67 # Factorizations : 0
% 0.42/0.67 # NegExts : 0
% 0.42/0.67 # Equation resolutions : 0
% 0.42/0.67 # Total rewrite steps : 1096
% 0.42/0.67 # Propositional unsat checks : 0
% 0.42/0.67 # Propositional check models : 0
% 0.42/0.67 # Propositional check unsatisfiable : 0
% 0.42/0.67 # Propositional clauses : 0
% 0.42/0.67 # Propositional clauses after purity: 0
% 0.42/0.67 # Propositional unsat core size : 0
% 0.42/0.67 # Propositional preprocessing time : 0.000
% 0.42/0.67 # Propositional encoding time : 0.000
% 0.42/0.67 # Propositional solver time : 0.000
% 0.42/0.67 # Success case prop preproc time : 0.000
% 0.42/0.67 # Success case prop encoding time : 0.000
% 0.42/0.67 # Success case prop solver time : 0.000
% 0.42/0.67 # Current number of processed clauses : 585
% 0.42/0.67 # Positive orientable unit clauses : 100
% 0.42/0.67 # Positive unorientable unit clauses: 0
% 0.42/0.67 # Negative unit clauses : 1
% 0.42/0.67 # Non-unit-clauses : 484
% 0.42/0.67 # Current number of unprocessed clauses: 821
% 0.42/0.67 # ...number of literals in the above : 4889
% 0.42/0.67 # Current number of archived formulas : 0
% 0.42/0.67 # Current number of archived clauses : 72
% 0.42/0.67 # Clause-clause subsumption calls (NU) : 43602
% 0.42/0.67 # Rec. Clause-clause subsumption calls : 21716
% 0.42/0.67 # Non-unit clause-clause subsumptions : 721
% 0.42/0.67 # Unit Clause-clause subsumption calls : 614
% 0.42/0.67 # Rewrite failures with RHS unbound : 0
% 0.42/0.67 # BW rewrite match attempts : 43
% 0.42/0.67 # BW rewrite match successes : 4
% 0.42/0.67 # Condensation attempts : 0
% 0.42/0.67 # Condensation successes : 0
% 0.42/0.67 # Termbank termtop insertions : 63213
% 0.42/0.67
% 0.42/0.67 # -------------------------------------------------
% 0.42/0.67 # User time : 0.076 s
% 0.42/0.67 # System time : 0.008 s
% 0.42/0.67 # Total time : 0.084 s
% 0.42/0.67 # Maximum resident set size: 2668 pages
% 0.42/0.67
% 0.42/0.67 # -------------------------------------------------
% 0.42/0.67 # User time : 0.157 s
% 0.42/0.67 # System time : 0.021 s
% 0.42/0.67 # Total time : 0.178 s
% 0.42/0.67 # Maximum resident set size: 2232 pages
% 0.42/0.67 % E---3.1 exiting
% 0.42/0.68 % E---3.1 exiting
%------------------------------------------------------------------------------