[uoaei]

Philosophers of mind do have definitions of consciousness and sentience, but for some reason people keep ignoring or rejecting them.

For the purposes of this discussion, "consciousness" per se is mostly irrelevant. Sentience is still important but has less to do with intelligence than with experience (though sentience is still very much involved in acts of reasoning).

There are different kinds of reasoning, and those are probably more relevant to the discussion at hand re intelligence: associative, deductive, inductive, abductive, etc.