Ah, to be youthful and to let you imagination run roughshod over your better judgement.
What a thrill. So engaging. Anything you can imagine MUST be possible, eventually.
Neat trick to your thinking.
Once you look at it, a bit more closely. All those infinite monkeys typing away on those infinite number of typewriters will eventually recreate all of Shakespeare's works.
What have you been smoking, kind sir?

I wonder if a device is set up to solve chess, regardless of time limits ... would anyone even care when it finally is solved?
That's an interesting question. I sure hope it would solve it before the universe ends (either due to natural causes or because your god thinks it's time).
Let me put it this way: if I build a tower, first story is 10/1 meters high, the second is 10/2 the next 10/3 etc. etc. In some time I'll build an infinitely high tower, but it'll be of very little use and I don't think anybody would be impressed by a tower of 90 meters high.