Just read through your thread, you've been getting some very good help.
Heat can cause crashes and will aggravate any hardware problems that you might be having.
Checking a few settings will give us more to go on.
There are a couple of questions that should help clarify some of the hardware issues.
Did you find an update for your BIOS?
Have you been checking your temperatures?
Use
Speed Fan or
Core Temp , run one of these and check the CPU temps when at idle, testing, and/or gaming.
Let us know the minimum and maximum temps you get.
If you don't already have
CPUZ then D/L it and post a snip of the CPU, Mainboard, Memory, and SPD (for all the types of RAM your running) tabs.
For posting the information , enter 'Snipping tool' in the Start button > Search box, hit enter. Select the area you want to post and save to a convenient place.
How to Post a Screenshot in Seven Forums
Go to your BIOS and tell us the RAM, CPU and North Bridge (NB) voltages.
What RAM are you running in your computer now?
Your system specs states: 2x2 Team Elite DDR3 / 1x2 GEIL DDR3, are you running four RAM cards?
Four RAM cards will usually need a little adjusting to run stable.
cluberti found a reference to a core failure, this needs to be looked at. The cause can be from RAM or the CPU as he mentioned.
Lets check the settings and temperatures, to see where we can start from.