That is completely unreasonable. It's also of very dubious legality. If they are giving this sort of crap, you might want to take a pause to think about wheth

That is completely unreasonable. It's also of very dubious legality. If they are giving this sort of crap, you might want to take a pause to think about whether or not you really want to work with them. If you still want to try working with them, feel free to rewrite the agreement with wording that you think is reasonable. If they don't like it, that will tell you something important, IMHO. Note that some people will sign these sorts of outrageous contracts on the belief that, since it's not likely to be pursued even for the clauses that are enforceable, they'll just ignore it. Personally, I think that's dishonest and disingenuous. Also, think about what this sort of clause hanging over your head is going to look like to your next (potential) job/funding-source/etc.? Whether it's enforceable or not, this kind of thing can throw a monkey wrench into your future endeavors and how you are perceived by them. IANAL. Get competent legal counsel.