Nitpick: we have equations for (special) relativistic quantum physics. Dirac was one of the pioneers, and the Standard Model for instance is a relativistic quantum field theory. I presume you mean general relativity (gravity) and quantum mechanics that is the problem.

(Douglas_Knight) Moreover, the predictions that QFT makes about chemistry are too hard. I don't think it is possible with current computers to compute the spectrum of helium, let alone lithium. A quantum computer could do this, though.

In the spirit of what Viliam suggested, maybe you could do computational searches for tractable approximations to QFT for chemistry i.e. automatically find things like density functional theory. A problem there might be that you do not get any insight from the result, and you might end up overfitting.