[guesswest]

Piers - You don't have to accept that such a god exists to address the issue of whether these two things are compatible. It's not going to prove god either way. I just thought it was an interesting question on it's own terms.

As far as definitions go, I'd say the only point on which people ever disagree as to the meaning of the omnis is with regard to whether these attributes should be constrained by logic. I'm going to suggest the answer to that should be 'yes' here - not because I'm convinced it's so, but because it's impossible to discuss without that assumption. Beyond that, I think they're self explanatory.