If we have no idea what intelligence is, how can you make the claim that it cannot appear in a purely deterministic machine?

Clearly there's no theoretical difficulty; with a large enough lookup table you could simulate every action an individual could take. Whether this lookup table can be considered conscious is academic if we have no way of defining consciousness.

So the question becomes: is there a more efficient algorithm that can be executed by a machine that it is feasible to build?

Because you're apparently certain that there isn't, you must have a mathematical proof that this algorithm cannot exist, right?

And even if your "certainty" was merely hyperbole, perhaps in lieu of proof you could provide some compelling evidence of your case?