I tried underclocking as previously mentioned. With -30 MHz on the GPU Clock Offset everything works fine...??
The GPU can't handle the factory overclock, plain and simple. Green flashes in Heaven are a direct result of overclocks that are too high.
Either be happy with a slightly detuned 680 SOC, or try to RMA.
Now, blackened might be mad at you because you seem to have reinstalled Precision X to set a negative offset, but hey, at least you found the problem.
It's not the CPU, it's not the RAM, it's not the PSU, it's not the motherboard. It's the overclock. But honestly, -30 on that card is still really high, so if I were you, I'd just accept it and be happy. You still got a good deal.