[stronglikedan]

In a lot (most?) companies, the issue would be escalated all the way to the top with the same results. There's no incentive for them to take action once you've signed their contract. As other's have mentioned in this thread, you should have demanded an exclusion cause before signing.

[convivialdingo]

This 100%. I've crossed out sections like this without issue before. A contract is a negotiation, not a rubber stamp.

Some companies these days will allow you to list things which you work on (open source, second job, etc) which you can have excluded. This works fine for me as well.