Boomer: How to deal with huge cliques?

[matentzn]

This issue is just so I can link to some discussion while I make other tickets. The question is what boomer should do when faced with an enormous clique:

1. Ignore it and spit the clique out for people to break it
2. Try to break by applying some trivial heuristics (fast ones, like bulk dropping low probability axioms)
3. Anything else come to mind?

I would like boomer to at least try 2, but its hard to do this in a principled manner. Maybe you have a better idea @balhoff?