Someone was able to get the beta running on a Macbook Pro (Nvidia 9400M) with reduced graphics and resolution (see
here). The HD 4000 is better than the 9400M, according to google, so it may be playable. At the end of that topic someone mentioned getting 18 fps with an HD 4000 in low quality (didn't mention resolution, though).
There have been some optimization made to the game since that topic, but I don't know how much of an effect that would have.