RSBot (using the Rimmington mining script that comes with it) doesn't seem to do the school random event thing... where you're in a classroom and you have to solve puzzles then leave through the right door. I left my bot on overnight and I came back having gained only 1 level and when I logged in I was at that random event... :S
There are a few randoms that rsbot can't solve. If you run it while you're asleep, and it gets stuck on one of those randoms (and doesn't log out), you have a good chance of being banned. It's not a good idea to run a bot/script unless you're at least in earshot of your computer to know when someething's gone wrong.