[lacker]

The incentive to compete in the IMO is that it's fun to do math contests, it's fun to win math contests, and (if you think that far ahead as a high schooler) it looks good on your resume. None of that incentive will go away if the computers get better at math contests.

[jhbadger]

People still compete in foot races even though cars can go faster. People still play chess and Go even though computers can beat them.

[treprinum]

I'd be super demoralized if anything I could do a future pocket machine could do much better and faster. Like my very best is not enough to even tread water.

[gowld]

That applies to most things humans so for fun.

No one needs these contest math problems solved -- by requirement, they are solved before any student attempts them.