Instead of telling TIM where you don't want things, you just need to tell TIM where you *do* want things and it will put them there. That's kind of how it has to work, because in order to take things out of a container TIM needs to know where to put them. So just tag your desired destination container(s) with the item(s) and possibly a priority level, and they'll be moved.

I strongly disagree... I have an automated mining ship docking regularly and waiting to be emptied - my [TIM Ore] container on base has loooooots of space... but TIM doesn't empty my mining ship. so I DO tell tim where to put ores - and he does when it comes through a collector, but it doesn'T empty the cargo containers on my mining ship - which is bad. so I'd like to FORCE tim to empty the cargo ship, even though iron isn't neded at the moment, so long as there is space where he can put the iron

@Lesani The asnwer is priorities. Just make sure your base storage has a lower priority number than your mining ship. I suggest putting the mining rig on P100 or something, and your base on P10.