It is unlikely that Anand would win, or even draw such a match.
The last matches of world-championship caliber players against top computer engines have seen a 4-2 loss by Kramnik in 2006, 3-3 and 2-2 draws by Kasparov in 2003, a 4-4 draw by Kramnik in 2002, and a 3.5-2.5 loss by Kasparov in 1997. These were all played on standard (or outdated in the 1997 case) hardware at the time, so with the strongest current program and strongest available computer today, it can be assumed that the human's task will be considerably greater than it was even in 2006. It's worth noting, also, that Anand lost a 10.5-7.5 match to Kasparov in 1995, won a 6.5-4.5 match with Kramnik in 2008, and is currently about even with Kramnik in rating -- so there's nothing to suggest that Anand might be significantly superior to these other players who were taking up the computer challenge near their prime.
In my opinion, a key thing making these human versus computer challenges unfair is the computer's opening book, which is a database of prepared opening moves. It is true that a human world champion has memorized many opening lines, but he is not allowed to come into the match with a huge opening reference library. Given the brute-force strength of today's computers, they should play without any opening book at all. In that case, I would expect a human of world-champion caliber to win such matches with scores around 4-2 for the next five-ten years, then draw 3-3 for five-ten years, then finally succumb to the brute force of the machine.
Also, when you say "smartest chess software chess genius" I assume you mean the best current chess software, and not the specific engine Chess Genius, which would not fare nearly as well.