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#11
My first thought is a bad power supply. Check the voltages in the BIOS if you can.
If they're under the nominal by more than 10-15% I would change out the PS.
Even without bad voltages you could have a sudden power drop which would cause the system to reboot or become unstable.
Also, could try Stress Linux. Linux distro for testing systems under heavy load.
Worth a shot and might be revealing. Google for latest version.