If machines become better at basic research than humans, then we have achieved one of the key features of Banks' Culture. That's a feature, not a bug.
"The more important fundamental laws and facts of physical science have all been discovered, and these are so firmly established that the possibility of their ever being supplanted in consequence of new discoveries is exceedingly remote."
After that, he lived just enough to see the physics giving birth to modern chemistry and electronics.
This is an example of a highly important and interesting problem that is limited by computational ability, among other things. Knowing some physical constants is important but the macro problem is still hard.
For those of you who haven't read Ian M. Banks "The Culture" series, The Culture is a space-habitating multi-species confederation that has long ago made true general AI, concurred all ageing and illness and now mostly spend their time exploring the universe and trying to improve other civilisations, without too much meddling. Anything at all we can do to become them is a Good Thing.
At that point we just found The Culture and start to build space-ships.