The term of the franchise granted by this ordinance and the rights granted thereunder shall continue for the period of twenty-five (25) years from and after its acceptance by the said Company, except that the City may cancel this franchise on the tenth (10th) or twentieth (20th) anniversary of the Anniversary Date of this franchise by notifying Company in writing of its desire to do so, said notification to be given within thirty (30) days of the tenth (10th) or twentieth (20th) anniversary respectively of this franchise. If Company is not notified of the cancellation by the tenth (10th) or twentieth (20th) anniversary then this franchise shall continue without cancellation until the twenty-fifth (25th) year.