Thanks.
There are different definitions of intelligence. One I like (though I don't quite find it comprehensive) is David Krakauer (of Santa Fe Institute), "Intelligence is Search". That is: it's a search across an n-dimensional space for a least-cost function.
There's the question of "function for what?", and I'm thinking here something which allows for useful prediction or outmaneuvering an adversary (as with chess).
This gives a set of related or subroutine functions which are required, including many on your list: information acquisitionprocessing, and output. An interesting concept I ran across in the past year or so is that of the medieval curriculum, comprised of the trivium and the quadrivium. The first is further broken down into grammar, logic, and rhetoric, or if you prefer, input (and framing), processing, and output. This tickles my brain.
Another element I'm familiar with is that there comes a point in any skill at which it's somewhat less the things you get right as what you avoid getting wrong that matters. A champion athlete has strength or stamina, but also optimised physiology (Michael Phelps's long arms and torso, short legs, and huge feet, for example, are swimming gold, QED), and not screwing anything up in the event. Nailing starts, turns, finishes, and technique, not getting in your own way.
Further pondering intelligence also brings into the fold what knowledge, wisdom, correctness, and quality are. Interesting questions.