You're asking your question in the wrong place, OP. I'd call Intel/HR back, and ask THEM if they will be processing your VSP as you have the email proving you pushed the button. Well, if you do have that proof.... if no proof then you'd better get your butt in to work.
I'm being serious. Either you have proof you took the offer and can prove it (get them to commit to a date to fix your situation), or you don't have proof and there's not a damn thing you can do about it. That round of VSPs are over meaning you're STILL EMPLOYEED unless you have proof you accepted it and it's their error.
Good luck.