When all bonds issued by the authority and all obligations made or assumed by it under the provisions of this chapter shall have been paid in full, the then officers and directors of the authority shall at such time file with the Secretary of State a written statement, subscribed and sworn to by each of them, reciting the payment in full of all such bonds and obligations. Such statement shall be filed with the Secretary of State and recorded with the certificate of incorporation of the authority, and thereupon, the authority shall stand dissolved. Any property owned by the authority but leased to a local public body shall become the property of such local public body and any property owned by the authority and not leased to any local public body shall become the property of the state.