TSTP Solution File: LCL294-3 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL294-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Q3HsUjzdUz true
% Computer : n022.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 : Thu Aug 31 08:59:13 EDT 2023
% Result : Unsatisfiable 0.20s 0.80s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL294-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Q3HsUjzdUz true
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 18:57:11 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.80 % Solved by fo/fo3_bce.sh.
% 0.20/0.80 % BCE start: 11
% 0.20/0.80 % BCE eliminated: 0
% 0.20/0.80 % PE start: 11
% 0.20/0.80 logic: eq
% 0.20/0.80 % PE eliminated: 1
% 0.20/0.80 % done 101 iterations in 0.039s
% 0.20/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.80 % SZS output start Refutation
% 0.20/0.80 thf(axiom_type, type, axiom: $i > $o).
% 0.20/0.80 thf(implies_type, type, implies: $i > $i > $i).
% 0.20/0.80 thf(equivalent_type, type, equivalent: $i > $i > $i).
% 0.20/0.80 thf(p_type, type, p: $i).
% 0.20/0.80 thf(q_type, type, q: $i).
% 0.20/0.80 thf(or_type, type, or: $i > $i > $i).
% 0.20/0.80 thf(and_type, type, and: $i > $i > $i).
% 0.20/0.80 thf(theorem_type, type, theorem: $i > $o).
% 0.20/0.80 thf(not_type, type, not: $i > $i).
% 0.20/0.80 thf(implies_definition, axiom,
% 0.20/0.80 (( implies @ X @ Y ) = ( or @ ( not @ X ) @ Y ))).
% 0.20/0.80 thf(zip_derived_cl5, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 0.20/0.80 inference('cnf', [status(esa)], [implies_definition])).
% 0.20/0.80 thf(axiom_1_2, axiom, (axiom @ ( implies @ ( or @ A @ A ) @ A ))).
% 0.20/0.80 thf(zip_derived_cl0, plain,
% 0.20/0.80 (![X0 : $i]: (axiom @ (implies @ (or @ X0 @ X0) @ X0))),
% 0.20/0.80 inference('cnf', [status(esa)], [axiom_1_2])).
% 0.20/0.80 thf(rule_1, axiom, (( theorem @ X ) | ( ~( axiom @ X ) ))).
% 0.20/0.80 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 0.20/0.80 inference('cnf', [status(esa)], [rule_1])).
% 0.20/0.80 thf(zip_derived_cl33, plain,
% 0.20/0.80 (![X0 : $i]: (theorem @ (implies @ (or @ X0 @ X0) @ X0))),
% 0.20/0.80 inference('dp-resolution', [status(thm)],
% 0.20/0.80 [zip_derived_cl0, zip_derived_cl6])).
% 0.20/0.80 thf(zip_derived_cl41, plain,
% 0.20/0.80 (![X0 : $i]:
% 0.20/0.80 (theorem @ (implies @ (implies @ X0 @ (not @ X0)) @ (not @ X0)))),
% 0.20/0.80 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl33])).
% 0.20/0.80 thf(zip_derived_cl5, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 0.20/0.80 inference('cnf', [status(esa)], [implies_definition])).
% 0.20/0.80 thf(zip_derived_cl5, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 0.20/0.80 inference('cnf', [status(esa)], [implies_definition])).
% 0.20/0.80 thf(axiom_1_4, axiom,
% 0.20/0.80 (axiom @ ( implies @ ( or @ A @ B ) @ ( or @ B @ A ) ))).
% 0.20/0.80 thf(zip_derived_cl2, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i]:
% 0.20/0.80 (axiom @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 0.20/0.80 inference('cnf', [status(esa)], [axiom_1_4])).
% 0.20/0.80 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 0.20/0.80 inference('cnf', [status(esa)], [rule_1])).
% 0.20/0.80 thf(zip_derived_cl35, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i]:
% 0.20/0.80 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 0.20/0.80 inference('dp-resolution', [status(thm)],
% 0.20/0.80 [zip_derived_cl2, zip_derived_cl6])).
% 0.20/0.80 thf(rule_2, axiom,
% 0.20/0.80 (( theorem @ X ) | ( ~( theorem @ ( implies @ Y @ X ) ) ) |
% 0.20/0.80 ( ~( theorem @ Y ) ))).
% 0.20/0.80 thf(zip_derived_cl7, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i]:
% 0.20/0.80 ( (theorem @ X0)
% 0.20/0.80 | ~ (theorem @ (implies @ X1 @ X0))
% 0.20/0.80 | ~ (theorem @ X1))),
% 0.20/0.80 inference('cnf', [status(esa)], [rule_2])).
% 0.20/0.80 thf(zip_derived_cl49, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i]:
% 0.20/0.80 (~ (theorem @ (or @ X0 @ X1)) | (theorem @ (or @ X1 @ X0)))),
% 0.20/0.80 inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl7])).
% 0.20/0.80 thf(zip_derived_cl79, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i]:
% 0.20/0.80 (~ (theorem @ (implies @ X1 @ X0))
% 0.20/0.80 | (theorem @ (or @ X0 @ (not @ X1))))),
% 0.20/0.80 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl49])).
% 0.20/0.80 thf(zip_derived_cl95, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i]:
% 0.20/0.80 ( (theorem @ (implies @ X1 @ (not @ X0)))
% 0.20/0.80 | ~ (theorem @ (implies @ X0 @ (not @ X1))))),
% 0.20/0.80 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl79])).
% 0.20/0.80 thf(zip_derived_cl99, plain,
% 0.20/0.80 (![X0 : $i]:
% 0.20/0.80 (theorem @ (implies @ X0 @ (not @ (implies @ X0 @ (not @ X0)))))),
% 0.20/0.80 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl95])).
% 0.20/0.80 thf(zip_derived_cl7, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i]:
% 0.20/0.80 ( (theorem @ X0)
% 0.20/0.80 | ~ (theorem @ (implies @ X1 @ X0))
% 0.20/0.80 | ~ (theorem @ X1))),
% 0.20/0.80 inference('cnf', [status(esa)], [rule_2])).
% 0.20/0.80 thf(zip_derived_cl103, plain,
% 0.20/0.80 (![X0 : $i]:
% 0.20/0.80 (~ (theorem @ X0) | (theorem @ (not @ (implies @ X0 @ (not @ X0)))))),
% 0.20/0.80 inference('sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl7])).
% 0.20/0.80 thf(prove_this, conjecture,
% 0.20/0.80 (theorem @ ( equivalent @ ( implies @ p @ q ) @ ( or @ ( not @ p ) @ q ) ))).
% 0.20/0.80 thf(zf_stmt_0, negated_conjecture,
% 0.20/0.80 (~( theorem @
% 0.20/0.80 ( equivalent @ ( implies @ p @ q ) @ ( or @ ( not @ p ) @ q ) ) )),
% 0.20/0.80 inference('cnf.neg', [status(esa)], [prove_this])).
% 0.20/0.80 thf(zip_derived_cl10, plain,
% 0.20/0.80 (~ (theorem @ (equivalent @ (implies @ p @ q) @ (or @ (not @ p) @ q)))),
% 0.20/0.80 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.20/0.80 thf(zip_derived_cl5, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 0.20/0.80 inference('cnf', [status(esa)], [implies_definition])).
% 0.20/0.80 thf(zip_derived_cl38, plain,
% 0.20/0.80 (~ (theorem @ (equivalent @ (implies @ p @ q) @ (implies @ p @ q)))),
% 0.20/0.80 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl5])).
% 0.20/0.80 thf(equivalent_defn, axiom,
% 0.20/0.80 (( equivalent @ P @ Q ) =
% 0.20/0.80 ( and @ ( implies @ P @ Q ) @ ( implies @ Q @ P ) ))).
% 0.20/0.80 thf(zip_derived_cl9, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i]:
% 0.20/0.80 ((equivalent @ X0 @ X1)
% 0.20/0.80 = (and @ (implies @ X0 @ X1) @ (implies @ X1 @ X0)))),
% 0.20/0.80 inference('cnf', [status(esa)], [equivalent_defn])).
% 0.20/0.80 thf(and_defn, axiom,
% 0.20/0.80 (( and @ P @ Q ) = ( not @ ( or @ ( not @ P ) @ ( not @ Q ) ) ))).
% 0.20/0.80 thf(zip_derived_cl8, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i]:
% 0.20/0.80 ((and @ X0 @ X1) = (not @ (or @ (not @ X0) @ (not @ X1))))),
% 0.20/0.80 inference('cnf', [status(esa)], [and_defn])).
% 0.20/0.80 thf(zip_derived_cl5, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 0.20/0.80 inference('cnf', [status(esa)], [implies_definition])).
% 0.20/0.80 thf(zip_derived_cl43, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i]:
% 0.20/0.80 ((and @ X0 @ X1) = (not @ (implies @ X0 @ (not @ X1))))),
% 0.20/0.80 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 0.20/0.80 thf(zip_derived_cl47, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i]:
% 0.20/0.80 ((equivalent @ X0 @ X1)
% 0.20/0.80 = (not @
% 0.20/0.80 (implies @ (implies @ X0 @ X1) @ (not @ (implies @ X1 @ X0)))))),
% 0.20/0.80 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl43])).
% 0.20/0.80 thf(zip_derived_cl48, plain,
% 0.20/0.80 (~ (theorem @
% 0.20/0.80 (not @
% 0.20/0.80 (implies @ (implies @ (implies @ p @ q) @ (implies @ p @ q)) @
% 0.20/0.80 (not @ (implies @ (implies @ p @ q) @ (implies @ p @ q))))))),
% 0.20/0.80 inference('demod', [status(thm)], [zip_derived_cl38, zip_derived_cl47])).
% 0.20/0.80 thf(zip_derived_cl107, plain,
% 0.20/0.80 (~ (theorem @ (implies @ (implies @ p @ q) @ (implies @ p @ q)))),
% 0.20/0.80 inference('sup-', [status(thm)], [zip_derived_cl103, zip_derived_cl48])).
% 0.20/0.80 thf(zip_derived_cl5, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 0.20/0.80 inference('cnf', [status(esa)], [implies_definition])).
% 0.20/0.80 thf(axiom_1_3, axiom, (axiom @ ( implies @ A @ ( or @ B @ A ) ))).
% 0.20/0.80 thf(zip_derived_cl1, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i]: (axiom @ (implies @ X0 @ (or @ X1 @ X0)))),
% 0.20/0.80 inference('cnf', [status(esa)], [axiom_1_3])).
% 0.20/0.80 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 0.20/0.80 inference('cnf', [status(esa)], [rule_1])).
% 0.20/0.80 thf(zip_derived_cl34, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (or @ X1 @ X0)))),
% 0.20/0.80 inference('dp-resolution', [status(thm)],
% 0.20/0.80 [zip_derived_cl1, zip_derived_cl6])).
% 0.20/0.80 thf(zip_derived_cl46, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 0.20/0.80 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl34])).
% 0.20/0.80 thf(zip_derived_cl46, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 0.20/0.80 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl34])).
% 0.20/0.80 thf(zip_derived_cl5, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 0.20/0.80 inference('cnf', [status(esa)], [implies_definition])).
% 0.20/0.80 thf(zip_derived_cl5, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 0.20/0.80 inference('cnf', [status(esa)], [implies_definition])).
% 0.20/0.80 thf(axiom_1_5, axiom,
% 0.20/0.80 (axiom @
% 0.20/0.80 ( implies @ ( or @ A @ ( or @ B @ C ) ) @ ( or @ B @ ( or @ A @ C ) ) ))).
% 0.20/0.80 thf(zip_derived_cl3, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.20/0.80 (axiom @
% 0.20/0.80 (implies @ (or @ X0 @ (or @ X1 @ X2)) @ (or @ X1 @ (or @ X0 @ X2))))),
% 0.20/0.80 inference('cnf', [status(esa)], [axiom_1_5])).
% 0.20/0.80 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 0.20/0.80 inference('cnf', [status(esa)], [rule_1])).
% 0.20/0.80 thf(zip_derived_cl36, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.20/0.80 (theorem @
% 0.20/0.80 (implies @ (or @ X1 @ (or @ X2 @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))),
% 0.20/0.80 inference('dp-resolution', [status(thm)],
% 0.20/0.80 [zip_derived_cl3, zip_derived_cl6])).
% 0.20/0.80 thf(zip_derived_cl7, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i]:
% 0.20/0.80 ( (theorem @ X0)
% 0.20/0.80 | ~ (theorem @ (implies @ X1 @ X0))
% 0.20/0.80 | ~ (theorem @ X1))),
% 0.20/0.80 inference('cnf', [status(esa)], [rule_2])).
% 0.20/0.80 thf(zip_derived_cl53, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.20/0.80 (~ (theorem @ (or @ X1 @ (or @ X2 @ X0)))
% 0.20/0.80 | (theorem @ (or @ X2 @ (or @ X1 @ X0))))),
% 0.20/0.80 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl7])).
% 0.20/0.80 thf(zip_derived_cl136, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.20/0.80 (~ (theorem @ (or @ X2 @ (implies @ X1 @ X0)))
% 0.20/0.80 | (theorem @ (or @ (not @ X1) @ (or @ X2 @ X0))))),
% 0.20/0.80 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl53])).
% 0.20/0.80 thf(zip_derived_cl5, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 0.20/0.80 inference('cnf', [status(esa)], [implies_definition])).
% 0.20/0.80 thf(zip_derived_cl139, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.20/0.80 (~ (theorem @ (or @ X2 @ (implies @ X1 @ X0)))
% 0.20/0.80 | (theorem @ (implies @ X1 @ (or @ X2 @ X0))))),
% 0.20/0.80 inference('demod', [status(thm)], [zip_derived_cl136, zip_derived_cl5])).
% 0.20/0.80 thf(zip_derived_cl176, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.20/0.80 (~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 0.20/0.80 | (theorem @ (implies @ X1 @ (or @ (not @ X2) @ X0))))),
% 0.20/0.80 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl139])).
% 0.20/0.80 thf(zip_derived_cl5, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 0.20/0.80 inference('cnf', [status(esa)], [implies_definition])).
% 0.20/0.80 thf(zip_derived_cl177, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.20/0.80 (~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 0.20/0.80 | (theorem @ (implies @ X1 @ (implies @ X2 @ X0))))),
% 0.20/0.80 inference('demod', [status(thm)], [zip_derived_cl176, zip_derived_cl5])).
% 0.20/0.80 thf(zip_derived_cl200, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 0.20/0.80 inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl177])).
% 0.20/0.80 thf(zip_derived_cl7, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i]:
% 0.20/0.80 ( (theorem @ X0)
% 0.20/0.80 | ~ (theorem @ (implies @ X1 @ X0))
% 0.20/0.80 | ~ (theorem @ X1))),
% 0.20/0.80 inference('cnf', [status(esa)], [rule_2])).
% 0.20/0.80 thf(zip_derived_cl207, plain,
% 0.20/0.80 (![X0 : $i, X1 : $i]:
% 0.20/0.80 (~ (theorem @ X1) | (theorem @ (implies @ X0 @ X0)))),
% 0.20/0.80 inference('sup-', [status(thm)], [zip_derived_cl200, zip_derived_cl7])).
% 0.20/0.80 thf(zip_derived_cl212, plain, (![X2 : $i]: (theorem @ (implies @ X2 @ X2))),
% 0.20/0.80 inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl207])).
% 0.20/0.80 thf(zip_derived_cl236, plain, ($false),
% 0.20/0.80 inference('demod', [status(thm)], [zip_derived_cl107, zip_derived_cl212])).
% 0.20/0.80
% 0.20/0.80 % SZS output end Refutation
% 0.20/0.80
% 0.20/0.80
% 0.20/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.80 % Terminating...
% 1.42/0.88 % Runner terminated.
% 1.42/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------