I agree with you in that it is very subjective to define intelligence.

I personally define it as more of an emergent property where you increase the complexity of the problem solving machine to the point where it begins to be more than just interconnected automatisms.

Maybe it could be said that processing information is not intelligence by itself. Intelligence, for me, requires the ability to adapt the way one processes information to the task at hand, either by changing it entirely of adapting and tuning to get more out of it.

A fixed mechanism that controls a variable can't be intelligent.