Mysql判断两个时间段是否有交集

场景：
要求每个时间段内只能有一个生效的，时间段不能重复选择，不能有交集

select id,title from site_screen where ( status = 1 ) AND ((start_time >= '.$data['start_time'] . ' AND start_time <= '.$data['end_time'].') OR (start_time <= '.$data['start_time'] . ' AND end_time >= '.$data['end_time'].') OR (end_time >= '.$data['start_time'] . ' AND end_time <= '.$data['end_time'].'))