TSTP Solution File: SEU451+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU451+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n005.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 : 600s
% DateTime : Tue Jul 19 09:20:27 EDT 2022
% Result : Theorem 0.59s 24.77s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 13 unt; 0 def)
% Number of atoms : 65 ( 21 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 59 ( 29 ~; 20 |; 3 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-5 aty)
% Number of variables : 62 ( 4 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t65_relset_2,conjecture,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> k9_relset_2(X1,X1,X2,k6_partfun1(X1),X3) = k9_relset_2(X1,X2,X2,X3,k6_partfun1(X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t65_relset_2) ).
fof(redefinition_k6_partfun1,axiom,
! [X1] : k6_partfun1(X1) = k6_relat_1(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+17.ax',redefinition_k6_partfun1) ).
fof(redefinition_k9_relset_2,axiom,
! [X1,X2,X3,X4,X5] :
( ( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) )
=> k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',redefinition_k9_relset_2) ).
fof(t37_partfun1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> k5_relat_1(X3,k6_relat_1(X2)) = X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+17.ax',t37_partfun1) ).
fof(t36_partfun1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> k5_relat_1(k6_relat_1(X1),X3) = X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+17.ax',t36_partfun1) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+9.ax',t3_subset) ).
fof(t28_relset_1,axiom,
! [X1] : r1_tarski(k6_relat_1(X1),k2_zfmisc_1(X1,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+16.ax',t28_relset_1) ).
fof(dt_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+16.ax',dt_m2_relset_1) ).
fof(c_0_8,negated_conjecture,
~ ! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> k9_relset_2(X1,X1,X2,k6_partfun1(X1),X3) = k9_relset_2(X1,X2,X2,X3,k6_partfun1(X2)) ),
inference(assume_negation,[status(cth)],[t65_relset_2]) ).
fof(c_0_9,negated_conjecture,
( m2_relset_1(esk3_0,esk1_0,esk2_0)
& k9_relset_2(esk1_0,esk1_0,esk2_0,k6_partfun1(esk1_0),esk3_0) != k9_relset_2(esk1_0,esk2_0,esk2_0,esk3_0,k6_partfun1(esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_10,plain,
! [X2] : k6_partfun1(X2) = k6_relat_1(X2),
inference(variable_rename,[status(thm)],[redefinition_k6_partfun1]) ).
cnf(c_0_11,negated_conjecture,
k9_relset_2(esk1_0,esk1_0,esk2_0,k6_partfun1(esk1_0),esk3_0) != k9_relset_2(esk1_0,esk2_0,esk2_0,esk3_0,k6_partfun1(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,plain,
k6_partfun1(X1) = k6_relat_1(X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_13,plain,
! [X6,X7,X8,X9,X10] :
( ~ m1_subset_1(X9,k1_zfmisc_1(k2_zfmisc_1(X6,X7)))
| ~ m1_subset_1(X10,k1_zfmisc_1(k2_zfmisc_1(X7,X8)))
| k9_relset_2(X6,X7,X8,X9,X10) = k5_relat_1(X9,X10) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k9_relset_2])]) ).
fof(c_0_14,plain,
! [X4,X5,X6] :
( ~ m2_relset_1(X6,X4,X5)
| k5_relat_1(X6,k6_relat_1(X5)) = X6 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t37_partfun1])]) ).
cnf(c_0_15,negated_conjecture,
k9_relset_2(esk1_0,esk1_0,esk2_0,k6_relat_1(esk1_0),esk3_0) != k9_relset_2(esk1_0,esk2_0,esk2_0,esk3_0,k6_relat_1(esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_12]) ).
cnf(c_0_16,plain,
( k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,plain,
( k5_relat_1(X1,k6_relat_1(X2)) = X1
| ~ m2_relset_1(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
m2_relset_1(esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_19,plain,
! [X4,X5,X6] :
( ~ m2_relset_1(X6,X4,X5)
| k5_relat_1(k6_relat_1(X4),X6) = X6 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t36_partfun1])]) ).
cnf(c_0_20,negated_conjecture,
( k9_relset_2(esk1_0,esk1_0,esk2_0,k6_relat_1(esk1_0),esk3_0) != k5_relat_1(esk3_0,k6_relat_1(esk2_0))
| ~ m1_subset_1(k6_relat_1(esk2_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk2_0)))
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
k5_relat_1(esk3_0,k6_relat_1(esk2_0)) = esk3_0,
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
( k5_relat_1(k6_relat_1(X1),X2) = X2
| ~ m2_relset_1(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( k9_relset_2(esk1_0,esk1_0,esk2_0,k6_relat_1(esk1_0),esk3_0) != esk3_0
| ~ m1_subset_1(k6_relat_1(esk2_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk2_0)))
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))) ),
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
k5_relat_1(k6_relat_1(esk1_0),esk3_0) = esk3_0,
inference(spm,[status(thm)],[c_0_22,c_0_18]) ).
fof(c_0_25,plain,
! [X3,X4,X3,X4] :
( ( ~ m1_subset_1(X3,k1_zfmisc_1(X4))
| r1_tarski(X3,X4) )
& ( ~ r1_tarski(X3,X4)
| m1_subset_1(X3,k1_zfmisc_1(X4)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])])]) ).
fof(c_0_26,plain,
! [X2] : r1_tarski(k6_relat_1(X2),k2_zfmisc_1(X2,X2)),
inference(variable_rename,[status(thm)],[t28_relset_1]) ).
cnf(c_0_27,negated_conjecture,
( ~ m1_subset_1(k6_relat_1(esk2_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk2_0)))
| ~ m1_subset_1(k6_relat_1(esk1_0),k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk1_0)))
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_16]),c_0_24])]) ).
cnf(c_0_28,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_29,plain,
r1_tarski(k6_relat_1(X1),k2_zfmisc_1(X1,X1)),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_30,negated_conjecture,
( ~ m1_subset_1(k6_relat_1(esk1_0),k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk1_0)))
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).
fof(c_0_31,plain,
! [X4,X5,X6] :
( ~ m2_relset_1(X6,X4,X5)
| m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,X5))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
cnf(c_0_32,negated_conjecture,
~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_28]),c_0_29])]) ).
cnf(c_0_33,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_34,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU451+2 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 20 05:10:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.58/23.64 eprover: CPU time limit exceeded, terminating
% 0.58/23.65 eprover: CPU time limit exceeded, terminating
% 0.58/23.66 eprover: CPU time limit exceeded, terminating
% 0.58/23.67 eprover: CPU time limit exceeded, terminating
% 0.59/24.77 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.59/24.77
% 0.59/24.77 # Failure: Resource limit exceeded (time)
% 0.59/24.77 # OLD status Res
% 0.59/24.77 # Preprocessing time : 0.880 s
% 0.59/24.77 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.59/24.77 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.59/24.77 # Preprocessing time : 0.186 s
% 0.59/24.77
% 0.59/24.77 # Proof found!
% 0.59/24.77 # SZS status Theorem
% 0.59/24.77 # SZS output start CNFRefutation
% See solution above
% 0.59/24.77 # Proof object total steps : 35
% 0.59/24.77 # Proof object clause steps : 18
% 0.59/24.77 # Proof object formula steps : 17
% 0.59/24.77 # Proof object conjectures : 14
% 0.59/24.77 # Proof object clause conjectures : 11
% 0.59/24.77 # Proof object formula conjectures : 3
% 0.59/24.77 # Proof object initial clauses used : 9
% 0.59/24.77 # Proof object initial formulas used : 8
% 0.59/24.77 # Proof object generating inferences : 7
% 0.59/24.77 # Proof object simplifying inferences : 11
% 0.59/24.77 # Training examples: 0 positive, 0 negative
% 0.59/24.77 # Parsed axioms : 4537
% 0.59/24.77 # Removed by relevancy pruning/SinE : 4118
% 0.59/24.77 # Initial clauses : 826
% 0.59/24.77 # Removed in clause preprocessing : 35
% 0.59/24.77 # Initial clauses in saturation : 791
% 0.59/24.77 # Processed clauses : 1222
% 0.59/24.77 # ...of these trivial : 43
% 0.59/24.77 # ...subsumed : 196
% 0.59/24.77 # ...remaining for further processing : 983
% 0.59/24.77 # Other redundant clauses eliminated : 82
% 0.59/24.77 # Clauses deleted for lack of memory : 0
% 0.59/24.77 # Backward-subsumed : 17
% 0.59/24.77 # Backward-rewritten : 35
% 0.59/24.77 # Generated clauses : 9603
% 0.59/24.77 # ...of the previous two non-trivial : 8429
% 0.59/24.77 # Contextual simplify-reflections : 88
% 0.59/24.77 # Paramodulations : 9483
% 0.59/24.77 # Factorizations : 0
% 0.59/24.77 # Equation resolutions : 120
% 0.59/24.77 # Current number of processed clauses : 928
% 0.59/24.77 # Positive orientable unit clauses : 143
% 0.59/24.77 # Positive unorientable unit clauses: 0
% 0.59/24.77 # Negative unit clauses : 11
% 0.59/24.77 # Non-unit-clauses : 774
% 0.59/24.77 # Current number of unprocessed clauses: 7767
% 0.59/24.77 # ...number of literals in the above : 45977
% 0.59/24.77 # Current number of archived formulas : 0
% 0.59/24.77 # Current number of archived clauses : 53
% 0.59/24.77 # Clause-clause subsumption calls (NU) : 152292
% 0.59/24.77 # Rec. Clause-clause subsumption calls : 26856
% 0.59/24.77 # Non-unit clause-clause subsumptions : 297
% 0.59/24.77 # Unit Clause-clause subsumption calls : 7435
% 0.59/24.77 # Rewrite failures with RHS unbound : 0
% 0.59/24.77 # BW rewrite match attempts : 87
% 0.59/24.77 # BW rewrite match successes : 9
% 0.59/24.77 # Condensation attempts : 0
% 0.59/24.77 # Condensation successes : 0
% 0.59/24.77 # Termbank termtop insertions : 317231
% 0.59/24.77
% 0.59/24.77 # -------------------------------------------------
% 0.59/24.77 # User time : 0.422 s
% 0.59/24.77 # System time : 0.011 s
% 0.59/24.77 # Total time : 0.433 s
% 0.59/24.77 # Maximum resident set size: 23372 pages
% 0.59/46.67 eprover: CPU time limit exceeded, terminating
% 0.59/46.68 eprover: CPU time limit exceeded, terminating
% 0.59/46.68 eprover: CPU time limit exceeded, terminating
% 0.59/46.69 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.59/46.69 eprover: No such file or directory
% 0.59/46.70 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.59/46.70 eprover: No such file or directory
% 0.59/46.70 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.59/46.70 eprover: No such file or directory
% 0.59/46.70 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.59/46.70 eprover: No such file or directory
% 0.59/46.70 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.59/46.70 eprover: No such file or directory
% 0.59/46.70 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.59/46.70 eprover: No such file or directory
% 0.59/46.71 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.59/46.71 eprover: No such file or directory
% 0.59/46.71 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.59/46.71 eprover: No such file or directory
% 0.59/46.71 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.59/46.71 eprover: No such file or directory
% 0.59/46.71 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.59/46.71 eprover: No such file or directory
% 0.59/46.71 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.59/46.71 eprover: No such file or directory
% 0.59/46.71 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.59/46.71 eprover: No such file or directory
% 0.59/46.71 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.59/46.71 eprover: No such file or directory
% 0.59/46.72 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.59/46.72 eprover: No such file or directory
% 0.59/46.72 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.59/46.72 eprover: No such file or directory
% 0.59/46.72 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.59/46.72 eprover: No such file or directory
% 0.59/46.72 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.59/46.72 eprover: No such file or directory
% 0.59/46.72 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.59/46.72 eprover: No such file or directory
% 0.59/46.72 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.59/46.72 eprover: No such file or directory
% 0.59/46.73 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.59/46.73 eprover: No such file or directory
% 0.59/46.73 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.59/46.73 eprover: No such file or directory
% 0.59/46.73 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.59/46.73 eprover: No such file or directory
% 0.59/46.73 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.59/46.73 eprover: No such file or directory
% 0.59/46.73 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.59/46.73 eprover: No such file or directory
% 0.59/46.73 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.59/46.73 eprover: No such file or directory
% 0.59/46.74 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.59/46.74 eprover: No such file or directory
% 0.59/46.74 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.59/46.74 eprover: No such file or directory
% 0.59/46.74 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.59/46.74 eprover: No such file or directory
% 0.59/46.75 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.59/46.75 eprover: No such file or directory
% 0.59/46.75 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.59/46.75 eprover: No such file or directory
%------------------------------------------------------------------------------