Which really solidifies the idea that the CPU shit the bed. If adding cool air to the system allows it to run longer, and this happens every time you run air over the CPU you basically have your answer.
My vote in order of most likely:
- CPU (95% sure this is it based on previous experiences without being able to look at it)
- North/South Bridge BUS failure on mobo (although I doubt this would make the machine completely turn off)
- RAM issue