Every conference committee which shall not have previously reported shall report during the last five days before the day fixed for final adjournment. After the expiration of one day of actual session after the day when a bill has been referred to a conference committee, it shall be in order for either house to demand, by a vote of a majority of all members elected, that a report be made by the conference committee not later than the second legislative day after such demand is made; but in the last five days of the session, such report must be made before the close of the legislative day during which the demand is made. If any conference committee shall fail to make such report within the time specified, such committee shall be deemed to be automatically discharged and a new conference committee may be appointed or either house may adhere to its position on the bill.