shall avail itself of or become subject to any proceeding

[france3]

помогите плиз перевести = shall avail itself of or become subject to any proceeding

(ii) Ceases to conduct business in the normal course, become insolvent, make a general assignment for the benefit of creditors, suffer or permit the appointment of a receiver for its business or assets, or shall avail itself of or become subject to any proceeding under the Federal Bankruptcy Act or any other federal or state statute relating to insolvency or the protection of rights of creditors

[Karabas]

Небольшой совет: Если Вы реально рассчитываете получить на Форуме квалифицированную помощь, контекст (особенно когда речь идёт о юридических документах) следует приводить максимально развёрнутый, т.е. как минимум один предшествующий абзац, а также краткие сведения о том, что за документ, о чём он, ну и т.д.

['More]

Предположительно, это один из пунктов статьи Events of Default. - что считается таким "Событием Неисполнения"
(огласите весь список, пжалст (С)), влекущим прекращение договора.
Опять же, предположительно, это кредитник (где Events of Default очень важны).
буквально сабж можно перевести "воспользуется [своим правом ходататйствовать о возбуждении производства] или в ее отношении будет возбуждено производство"
смысл в том, что компания сама подаст ходататайство о возбуждении какого-либо производства (возможно, Chapter 11) или в ее отношении будет возбуждено производство (возможно, Chapter 7) в соответствии с Федеральным Законом о Банкротстве и т.п.
Для размышления
Adjudication of bankruptcy.
The judgment or decree of the bankruptcy court that a person against whom a petition in bankruptcy has been filed, or who has filed his voluntary petition, be ordered and adjudged to be a bankrupt. bankruptcy discharge
Business reorganizations (Chapter 11)
When a debtor business entity realizes that it will become insolvent or will be unable to pay its debts as they mature, it can petition for reorganization under Chapter 11 of the Bankruptcy Code. The debtor business normally is permitted to continue its operations under court supervision until some plan of reorganization is approved by two-thirds of the creditors. If the business is insolvent at the time a petition for reorganization is filed, a majority of the shareholders must also approve the plan. If agreement cannot be reached, then the court will supervise liquidation proceedings for the business as in any other situation of bankruptcy. family farmer bankruptcy .
Involuntary proceedings.
Creditors of an insolvent debtor may initiate proceedings under the Bankruptcy Code, thereby in effect forcing the debtor into bankruptcy. straight bankruptcy , below.
Straight bankruptcy (Chapter 7).
A proceeding designed to liquidate the debtor's property, pay off his or her creditors, and discharge the debtor from his or her other debts. It can be either voluntary (started by the debtor himself or herself) or involuntary (started by the debtor's creditors) business reorganizations (Chapter 11); wage earner's plan (Chapter 13), which are rehabilitative proceedings (rehabilitation (Corporations).
Voluntary proceedings.
A proceeding under the Bankruptcy Code by which a debtor initiates action either to rehabilitate his business (e.g., Chapter 11 reorganization) or to liquidate (e.g., Chapter 7 liquidation).
from Black's Law Dictionary