for gods sake guys, just run prime 95 for a few hours, if any problems exist then it should reveal.
on second thought,it could restart because you don't have enough power not because you have bad board\ram
so just take a good look at the capacitors on your motherboard(which should be really fine but avo doesn't think so) if anything looks like these
http://en.wikipedia.org/wiki/Capacitor_plague then its bad, check to see if its even swollen
other than that, just replace the power supply,even if thats not the problem to the auto restart, you MUST replace that its just too little for a 560 and will cause problems in the future