I think you all are underestimating the progress computers will make in the future. even if processor speed has reached some kind of limit and/or isn't increasing as moores law dictates, some computer nerd will come up with something that will make everything jump light years ahead and by doing so will enable them to solve chess. it's inevitable and probably will be within a century.
Is Chess on the verge of being solved?

So...in long games...can humans still beat the best computers?
Or don't humans stand a chance?
no, at present no grandmaster really stands a chance against the strongest engine running on 16 cores or something.

Yeah, that's my understanding too, regardless of time controls.
It takes a good centaur to consistently beat today's top engines, and I subscribe to sapientdusts' assessment that it won't be long before even this ceases to be the case.
No. Chess will never be solved. Because the tablebases of 6 pieces will always be flawed when underpromotion is taken into account.

I don't see this game being solved (by humans or modern computers) for a long, long time. People still argue over which is the best first move for each color...that's just the first move...

Playing chess well requires you to keep your body in good shape. For example, if you play a long game, say 1-2 hours thinking time, your brain will need a heavy supply of blood so you need a good circulatory system; you'll also need to breathe effectively, and so on. The best chess players practice sports and exercise physically on a regular basis, and the physical aspect of their chess play is not to be underestimated as the games are very exhausting. In this sense, chess is a sport even at the literal meaning of a physical activity

Quantum computers aren't far away. http://www.wired.com/wiredenterprise/2012/02/ibm-quantum-milestone/

Chess was solved nearly a hundred years ago. A Russian peasant visited Alekhine's hotel room in St Petersburg (1914) and told him White has a forced mate in 12 from the initial position. Eventually Alekhine gave in to his pestering and played him - and the peasant mated him in 12. They played again. Same result. Every time Alekhine was mated in 12 no matter what he tried. So the two of them went to Lasker's room to see if the world champion could do any better. Lasker too kept getting mated in 12. He looked at Alekhine without saying a word...
Then the two of them killed the peasant and threw his body out in the snow.

As for a practical solution, there will never be one. Computers play 150 move endgames when a human would have accepted a draw or made a blunder long long ago. If computers "solve" chess, it will only be for other computers.

didn't ben johnson already solve that one?
Nope. He did write some nifty plays though:
So...in long games...can humans still beat the best computers?
Or don't humans stand a chance?