If you can't get in to the bios setup menu to check the temps, open the side of the case and set a house fan so it blows right on the CPU/Heatsink and see if it stays on longer. Report back with results.
With the fan blowing it's not restarting.Is it still restarting with the fan blowing in there?
The only error codes that are on the screen are the stop error messege which read *** STOP: 0x000000F4 (0x0000000000000003,0xFFFFFA8009731380,0xFFFFFFA80097315B8, 0xFFFFF80001D3ce10)What are the Error Codes on the BSOD?
I tried this originally and was getting an error before it would load the kernal, I will try another distribution. The distro that i was trying to use is called Damn Small Linux and it probably wasn't robust enough for this machine because it is rather new and has 6gigs of ram installed, that may have been throwing it off :4-dontknoYou can't use a Hdd from another PC that has the OS installed.
Install the original Hdd and attempt to boot from a Linux CD to bypass the Hdd.
BusyBox v1.15.3 (Ubuntu 1:1.15.3-1ubuntu5) built-in shell (ash)
Enter 'help' for a list of built-in commands.
(initramfs) mount: mounting /dev/loop0 on //filesystem.squashfs failed: Input/output error
Can not mount /dev/loop0 (/cdrom/casper/filesystem.squashfs) on //filesystem.squashfs