Read "Automata" and "Computability" theories these are basic Computer Science courses which tell us "what a computer can do and what it can't". The problems known and unknown to human can be classified under three categories based on time and effort it takes to compute them:
A. Polynomial time
B. Intractable
C. Not computable
Only problems of types (A) and (B) can be computed by the man made computers.
Not going into theoretical treatment, all the programs and software we deal with in daily life are built to solve problems of type (A).
Intractable problems are those which can be computed theoretically but require massive (may grow to infinite) computing power, e.g. breaking an AES 256 encrypted message is equivalent to solving an intractable problem.
But, could you imagine that there are practical problems known to us human beings are actually not computable? It doesn't even matter how fast or slow or accurate a computer is.
We have built rockets which can fly and reach outer-space while we can't. But we can't deny the fact that Human body is considerably more complex compared to a rocket, that is why we can create rockets but we cannot create a human from basic chemicals.
Just because computers can bean humans in certain tasks doesn't mean that computers are more powerful. Human brain can do what a computer can and much more.
No one is denying that human body is complex. But we are talking about an AI here. That's just means the brain.
As you said, there are some problems which are not computable. You can teach the AI for that as well and hence make it more intelligent than a single human brain.
Example. An AI can have advanced computing for all computable problems in life. For all non computing problems, the answer is collective consciousness. You can feed in the experiences, decisions, way of thinking and decision making, perspective etc. Aspects of a number of intelligent and good human beings.
Like I can agree that a human cannot build something that is more intelligent than him if he uses only his brain to do it. But what if he uses more? Isn't that why people collaborate to make things?
You can feed collective conciousness of people like Einstein, Stephen hawking, Abdul kalam etc. In the AI and that will make it more intelligent than yourself.
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