No definition has been given?
I think he's going from the assumption that intelligence is the ability to solve problems. If infinite intelligence implies you can instantly solve all problems, then it becomes redundant within moments after it's existence due to the lack of problems left to solve.
Infinite intelligence (in the real sense of the word) would only imply that it
can solve all the problems. In the sense that we are arguing, it
does.
No it does not become redundant and here's why.
Assuming that the set of all problems is finite.
It has an enormous amount of problems to solve. Its intellect does not imply that it should could memorize solutions to all of them, and memory was not the part of the equation. Also, the amount of problems-solutions, we all could agree, would be too large to store.
Assuming that the set of all problems is infinite.
If it requires a finitely small amount of time to solve each problem, it will take infinite amount of time to solve them all, so it will never be redundant.
If it can solve all problems in an infinitely small amount of time, it again couldn't memorize them all or store them all, returning to the previous argument.