I need more data. After the vehicle sits for more than twenty minutes, and will not start, does it still have spark? Fuel pressure? Is the motor turning over and not starting, or is the starter not turning the motor over? Which engine is this? Has anything been replaced or suggested to remedy the issue? Have you personally taken it to mechanic and had them try to diagnose it, or is it just what the PO did? Honestly, for ten different mechanics, or even two different mechanics to have looked at a consistently reproducible issue and not be able to make heads or tails of it is a bit odd, to say the least. The problem I always had (and still have) is reproducing the issue that the customer is complaining about. If you can do that, and have the tools and talent to track down the cause, then you're golden.