When all securities issued by the corporation and all obligations incurred by it under the provisions of, and within the limitations contained in this article, shall have been fully paid, then the members of the board of directors of the corporation may at such time file with the Secretary of State a written statement subscribed and sworn to by them, reciting payment in full of all securities of the corporation, and all obligations incurred by it under the provisions of this article, which statement shall then be recorded by the Secretary of State with the certificate of incorporation of the corporation, whereupon the corporation shall stand dissolved.