Conflicts
How Does DayBack Show Conflicts
The calendar "shows" conflicts, instead of preventing them. So you'll be able to see that two events overlap for a given resource or a given date / time.
Show Events Side-By-Side Instead of Overlapping
In Admin Settings / Views you'll find a setting called "Show Events Overlapping" that can remove the overlap on events at the same time and render them side-by-side instead.