I have a 2009 Pontiac Vibe that will not start.

I have a 2009 Pontiac Vibe that will not start about 6 or 7 times a year.
• If you let it set for 20 minutes it will start and run perfectly.
• It does not put on the check engine light or any other light. Also no flashing Security light either
• The engine cranks over just fine.
• Does not put any codes in the computer.
• It does not matter if it’s the first start of the day or the last, or if it was in the garage or outside.
• It does not matter if its winter or summer.
• When you try to start it will only start for a second then quit.
• It has the 1.8 L engine.
• It happened for the first time about 3 years ago and then it was about 6 months before it happened, but it’s been getting more frequent.
Local GM dealer was no help, but in there defence every time I took the car in it was working fine and there were no codes in the computer.
Please help