TSTP Solution File: MGT064+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : MGT064+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 : Sun Jul 17 22:25:43 EDT 2022
% Result : Theorem 2.44s 2.63s
% Output : Refutation 2.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 30
% Syntax : Number of clauses : 65 ( 37 unt; 12 nHn; 62 RR)
% Number of literals : 118 ( 22 equ; 56 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 42 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ smaller_or_equal(X,Y)
| smaller(X,Y)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).
cnf(2,axiom,
( smaller_or_equal(X,Y)
| ~ smaller(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).
cnf(7,axiom,
( ~ smaller(X,Y)
| greater(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).
cnf(8,axiom,
( smaller(X,Y)
| ~ greater(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).
cnf(9,axiom,
( ~ greater(X,Y)
| ~ greater(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_strict) ).
cnf(10,axiom,
( ~ greater(X,Y)
| ~ greater(Y,Z)
| greater(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_transitive) ).
cnf(18,axiom,
( ~ organization(X)
| has_endowment(X)
| ~ has_immunity(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_1) ).
cnf(20,axiom,
( ~ dissimilar(X,Y,Z)
| ~ is_aligned(X,Y)
| ~ is_aligned(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2) ).
cnf(22,axiom,
( dissimilar(X,Y,Z)
| ~ organization(X)
| ~ is_aligned(X,Y)
| is_aligned(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2) ).
cnf(24,axiom,
( ~ organization(X)
| age(X,Y) != zero
| is_aligned(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_13) ).
cnf(25,axiom,
( ~ organization(X)
| age(X,Y) != zero
| ~ greater(age(X,Z),sigma)
| dissimilar(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15) ).
cnf(26,axiom,
( ~ organization(X)
| age(X,Y) != zero
| greater(age(X,Z),sigma)
| ~ dissimilar(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15) ).
cnf(27,axiom,
( ~ robust_position(X)
| ~ smaller_or_equal(age(X,Y),tau)
| ~ positional_advantage(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_4) ).
cnf(28,axiom,
( ~ robust_position(X)
| ~ greater(age(X,Y),tau)
| positional_advantage(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_4) ).
cnf(33,axiom,
( ~ organization(X)
| has_immunity(X,Y)
| ~ is_aligned(X,Y)
| ~ positional_advantage(X,Y)
| hazard_of_mortality(X,Y) = low ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17) ).
cnf(34,axiom,
( ~ organization(X)
| has_immunity(X,Y)
| is_aligned(X,Y)
| ~ positional_advantage(X,Y)
| hazard_of_mortality(X,Y) = mod1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17) ).
cnf(35,axiom,
( ~ organization(X)
| has_immunity(X,Y)
| ~ is_aligned(X,Y)
| positional_advantage(X,Y)
| hazard_of_mortality(X,Y) = mod2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17) ).
cnf(38,axiom,
greater(mod1,low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18b) ).
cnf(42,axiom,
greater(mod2,mod1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_19) ).
cnf(43,negated_conjecture,
organization('SKOLEMAAAV3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_10) ).
cnf(44,negated_conjecture,
robust_position('SKOLEMAAAV3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_10) ).
cnf(45,negated_conjecture,
~ has_endowment('SKOLEMAAAV3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_10) ).
cnf(46,negated_conjecture,
age('SKOLEMAAAV3','SKOLEMAAAV4') = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_10) ).
cnf(48,negated_conjecture,
greater(tau,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_10) ).
cnf(49,negated_conjecture,
greater(sigma,tau),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_10) ).
cnf(50,negated_conjecture,
smaller_or_equal(age('SKOLEMAAAV3','SKOLEMAAAV5'),tau),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_10) ).
cnf(51,negated_conjecture,
greater(age('SKOLEMAAAV3','SKOLEMAAAV6'),tau),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_10) ).
cnf(52,negated_conjecture,
smaller_or_equal(age('SKOLEMAAAV3','SKOLEMAAAV6'),sigma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_10) ).
cnf(53,negated_conjecture,
greater(age('SKOLEMAAAV3','SKOLEMAAAV7'),sigma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_10) ).
cnf(54,negated_conjecture,
( ~ smaller(hazard_of_mortality('SKOLEMAAAV3','SKOLEMAAAV6'),hazard_of_mortality('SKOLEMAAAV3','SKOLEMAAAV7'))
| ~ smaller(hazard_of_mortality('SKOLEMAAAV3','SKOLEMAAAV7'),hazard_of_mortality('SKOLEMAAAV3','SKOLEMAAAV5'))
| hazard_of_mortality('SKOLEMAAAV3','SKOLEMAAAV5') != hazard_of_mortality('SKOLEMAAAV3','SKOLEMAAAV4') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_10) ).
cnf(70,plain,
smaller(mod1,mod2),
inference('HYPERRESOLVE',[status(thm)],[8,42]) ).
cnf(71,plain,
smaller(low,mod1),
inference('HYPERRESOLVE',[status(thm)],[8,38]) ).
cnf(76,plain,
smaller(zero,tau),
inference('HYPERRESOLVE',[status(thm)],[8,48]) ).
cnf(90,plain,
~ has_immunity('SKOLEMAAAV3',X),
inference('UR-RESOLVE',[status(thm)],[18,43,45]) ).
cnf(92,plain,
( smaller(age('SKOLEMAAAV3','SKOLEMAAAV6'),sigma)
| age('SKOLEMAAAV3','SKOLEMAAAV6') = sigma ),
inference('HYPERRESOLVE',[status(thm)],[1,52]) ).
cnf(98,plain,
greater(age('SKOLEMAAAV3','SKOLEMAAAV7'),tau),
inference('HYPERRESOLVE',[status(thm)],[10,53,49]) ).
cnf(101,plain,
is_aligned('SKOLEMAAAV3','SKOLEMAAAV4'),
inference('HYPERRESOLVE',[status(thm)],[24,43,46]) ).
cnf(102,plain,
~ positional_advantage('SKOLEMAAAV3','SKOLEMAAAV5'),
inference('UR-RESOLVE',[status(thm)],[27,44,50]) ).
cnf(103,plain,
( ~ smaller_or_equal(zero,tau)
| ~ positional_advantage('SKOLEMAAAV3','SKOLEMAAAV4') ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[27,46,theory(equality)]),44]) ).
cnf(104,plain,
positional_advantage('SKOLEMAAAV3','SKOLEMAAAV6'),
inference('HYPERRESOLVE',[status(thm)],[28,44,51]) ).
cnf(106,plain,
dissimilar('SKOLEMAAAV3','SKOLEMAAAV4','SKOLEMAAAV7'),
inference('HYPERRESOLVE',[status(thm)],[25,43,46,53]) ).
cnf(118,plain,
smaller_or_equal(zero,tau),
inference('HYPERRESOLVE',[status(thm)],[2,76]) ).
cnf(119,plain,
~ positional_advantage('SKOLEMAAAV3','SKOLEMAAAV4'),
inference('REWRITE',[status(thm)],[103,118]) ).
cnf(144,plain,
( dissimilar('SKOLEMAAAV3','SKOLEMAAAV4',X)
| is_aligned('SKOLEMAAAV3',X) ),
inference('HYPERRESOLVE',[status(thm)],[22,101,43]) ).
cnf(146,plain,
hazard_of_mortality('SKOLEMAAAV3','SKOLEMAAAV4') = mod2,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[35,101,43]),119,90]) ).
cnf(147,plain,
( ~ smaller(hazard_of_mortality('SKOLEMAAAV3','SKOLEMAAAV6'),hazard_of_mortality('SKOLEMAAAV3','SKOLEMAAAV7'))
| ~ smaller(hazard_of_mortality('SKOLEMAAAV3','SKOLEMAAAV7'),hazard_of_mortality('SKOLEMAAAV3','SKOLEMAAAV5'))
| hazard_of_mortality('SKOLEMAAAV3','SKOLEMAAAV5') != mod2 ),
inference('REWRITE',[status(thm)],[54,146,theory(equality)]) ).
cnf(148,plain,
~ greater(age('SKOLEMAAAV3','SKOLEMAAAV5'),tau),
inference('UR-RESOLVE',[status(thm)],[28,102,44]) ).
cnf(151,plain,
~ is_aligned('SKOLEMAAAV3','SKOLEMAAAV7'),
inference('UR-RESOLVE',[status(thm)],[20,106,101]) ).
cnf(173,plain,
positional_advantage('SKOLEMAAAV3','SKOLEMAAAV7'),
inference('HYPERRESOLVE',[status(thm)],[28,98,44]) ).
cnf(176,plain,
hazard_of_mortality('SKOLEMAAAV3','SKOLEMAAAV7') = mod1,
inference('UR-RESOLVE',[status(thm)],[34,173,43,90,151]) ).
cnf(177,plain,
( ~ smaller(hazard_of_mortality('SKOLEMAAAV3','SKOLEMAAAV6'),mod1)
| ~ smaller(mod1,hazard_of_mortality('SKOLEMAAAV3','SKOLEMAAAV5'))
| hazard_of_mortality('SKOLEMAAAV3','SKOLEMAAAV5') != mod2 ),
inference('REWRITE',[status(thm)],[147,176,theory(equality)]) ).
cnf(183,plain,
~ greater(age('SKOLEMAAAV3','SKOLEMAAAV5'),sigma),
inference('UR-RESOLVE',[status(thm)],[10,148,49]) ).
cnf(195,plain,
~ dissimilar('SKOLEMAAAV3','SKOLEMAAAV4','SKOLEMAAAV5'),
inference('UR-RESOLVE',[status(thm)],[26,183,43,46]) ).
cnf(197,plain,
is_aligned('SKOLEMAAAV3','SKOLEMAAAV5'),
inference('UR-RESOLVE',[status(thm)],[22,195,43,101]) ).
cnf(202,plain,
hazard_of_mortality('SKOLEMAAAV3','SKOLEMAAAV5') = mod2,
inference('UR-RESOLVE',[status(thm)],[35,197,43,90,102]) ).
cnf(203,plain,
~ smaller(hazard_of_mortality('SKOLEMAAAV3','SKOLEMAAAV6'),mod1),
inference('REWRITE',[status(thm)],[177,70,202,theory(equality)]) ).
cnf(206,plain,
~ greater(mod1,hazard_of_mortality('SKOLEMAAAV3','SKOLEMAAAV6')),
inference('UR-RESOLVE',[status(thm)],[8,203]) ).
cnf(215,plain,
( is_aligned('SKOLEMAAAV3',X)
| greater(age('SKOLEMAAAV3',X),sigma) ),
inference('HYPERRESOLVE',[status(thm)],[26,144,43,46]) ).
cnf(267,plain,
( greater(age('SKOLEMAAAV3','SKOLEMAAAV6'),sigma)
| hazard_of_mortality('SKOLEMAAAV3','SKOLEMAAAV6') = low ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[33,215,43,104]),90]) ).
cnf(743,plain,
( age('SKOLEMAAAV3','SKOLEMAAAV6') = sigma
| greater(sigma,age('SKOLEMAAAV3','SKOLEMAAAV6')) ),
inference('HYPERRESOLVE',[status(thm)],[7,92]) ).
cnf(2174,plain,
( hazard_of_mortality('SKOLEMAAAV3','SKOLEMAAAV6') = low
| age('SKOLEMAAAV3','SKOLEMAAAV6') = sigma ),
inference('HYPERRESOLVE',[status(thm)],[9,267,743]) ).
cnf(2801,plain,
age('SKOLEMAAAV3','SKOLEMAAAV6') = sigma,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[206,2174,theory(equality)]),38]) ).
cnf(2805,plain,
( greater(sigma,sigma)
| hazard_of_mortality('SKOLEMAAAV3','SKOLEMAAAV6') = low ),
inference('REWRITE',[status(thm)],[267,2801,theory(equality)]) ).
cnf(3011,plain,
hazard_of_mortality('SKOLEMAAAV3','SKOLEMAAAV6') = low,
inference('HYPERRESOLVE',[status(thm)],[9,2805,2805]) ).
cnf(3013,plain,
$false,
inference('REWRITE',[status(thm)],[203,71,3011,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT064+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 9 08:36:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T08:36:38
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-09T08:36:38
% 2.44/2.63
% 2.44/2.63
% 2.44/2.63 #||
% 2.44/2.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.44/2.63 % SZS output start Refutation
% See solution above
% 2.44/2.63 ||#
% 2.44/2.63
% 2.44/2.63 ; Summary of computation:
% 2.44/2.63 ; 21484 formulas have been input or derived (from 1092 formulas).
% 2.44/2.63 ; 3013 (14%) were retained. Of these,
% 2.44/2.63 ; 617 (20%) were simplified or subsumed later,
% 2.44/2.63 ; 2396 (80%) are still being kept.
% 2.44/2.63 ;
% 2.44/2.63 ; Run time in seconds excluding printing time:
% 2.44/2.63 ; 0.006 0% Read assertion file (1 call)
% 2.44/2.63 ; 0.002 0% Assert (20 calls)
% 2.44/2.63 ; 0.203 9% Process new row (20,437 calls)
% 2.44/2.63 ; 0.285 13% Resolution (2,182 calls)
% 2.44/2.63 ; 0.180 8% Paramodulation (1,091 calls)
% 2.44/2.63 ; 0.002 0% Factoring (888 calls)
% 2.44/2.63 ; 0.033 2% Condensing (7,077 calls)
% 2.44/2.63 ; 0.496 23% Forward subsumption (7,077 calls)
% 2.44/2.63 ; 0.061 3% Backward subsumption (2,847 calls)
% 2.44/2.63 ; 0.232 11% Clause clause subsumption (23,372 calls)
% 2.44/2.63 ; 0.333 15% Forward simplification (20,409 calls)
% 2.44/2.63 ; 0.031 1% Backward simplification (3,013 calls)
% 2.44/2.63 ; 0.178 8% Ordering (190,629 calls)
% 2.44/2.63 ; 0.001 0% Sortal reasoning (32 calls)
% 2.44/2.63 ; 0.000 0% Purity testing (1 call)
% 2.44/2.63 ; 0.117 5% Other
% 2.44/2.63 ; 2.160 Total
% 2.44/2.63 ; 2.164 Real time
% 2.44/2.63 ;
% 2.44/2.63 ; Term-hash-array has 494 terms in all.
% 2.44/2.63 ; Feature-vector-row-index has 2,254 entries (2,635 at peak, 2,847 added, 593 deleted).
% 2.44/2.63 ; Feature-vector-row-index has 7,482 nodes (11,246 at peak, 11,634 added, 4,152 deleted).
% 2.44/2.63 ; Retrieved 124,158 possibly forward subsuming rows in 7,077 calls.
% 2.44/2.63 ; Retrieved 4,480 possibly backward subsumed rows in 2,847 calls.
% 2.44/2.63 ; Path-index has 411 entries (486 at peak, 517 added, 106 deleted).
% 2.44/2.63 ; Path-index has 302 nodes (326 at peak, 349 added, 47 deleted).
% 2.44/2.63 ; Trie-index has 411 entries (486 at peak, 517 added, 106 deleted).
% 2.44/2.63 ; Trie-index has 579 nodes (699 at peak, 754 added, 175 deleted).
% 2.44/2.63 ; Retrieved 15,037 generalization terms in 98,220 calls.
% 2.44/2.63 ; Retrieved 184 instance terms in 165 calls.
% 2.44/2.63 ; Retrieved 33,355 unifiable terms in 8,702 calls.
% 2.44/2.63 ;
% 2.44/2.64 ; The agenda of backward simplifiable rows to process has 134 entries:
% 2.44/2.64 ; 134 with value 0
% 2.44/2.64 ; The agenda of rows to process has 67 entries:
% 2.44/2.64 ; 8 with value 16 53 with value 24 4 with value 27
% 2.44/2.64 ; 1 with value 19 1 with value 26
% 2.44/2.64 ; The agenda of rows to give has 1419 entries:
% 2.44/2.64 ; 1 with value (4 10) 67 with value (4 20) 71 with value (4 26)
% 2.44/2.64 ; 1 with value (4 12) 21 with value (4 21) 121 with value (4 27)
% 2.44/2.64 ; 11 with value (4 15) 7 with value (4 22) 27 with value (4 28)
% 2.44/2.64 ; 51 with value (4 16) 278 with value (4 23) 42 with value (4 29)
% 2.44/2.64 ; 22 with value (4 17) 401 with value (4 24) 69 with value (4 30)
% 2.44/2.64 ; 97 with value (4 19) 83 with value (4 25) 49 with value (4 31)
% 2.44/2.64 Evaluation took:
% 2.44/2.64 2.165 seconds of real time
% 2.44/2.64 1.833999 seconds of user run time
% 2.44/2.64 0.330768 seconds of system run time
% 2.44/2.64 [Run times include 0.091 seconds GC run time.]
% 2.44/2.64 0 calls to %EVAL
% 2.44/2.64 0 page faults and
% 2.44/2.64 200,476,448 bytes consed.
% 2.44/2.64 :PROOF-FOUND
% 2.44/2.64 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T08:36:40
% 2.44/2.64 :PROOF-FOUND
% 2.44/2.64 *
%------------------------------------------------------------------------------