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#11
This sort of a problem is very difficult to resolve by an individual and best left to a professional with a service setup.
The problem appears to be heat-related. Some component somewhere is getting heated up and changes character resulting in a large current being drawn. The over-current protection then shuts off your system. Once that component cools down you will be able to run your system again till the heat shuts it down again.
The problem arises because each and every removable module that makes up your system has to be replaced one at a time till the problem module is found. 1.The Power Supply 2. the Memory modules 3.the Processor (This you have already done and cleared) 4.the optical drive 5.the hard drive and if all these are cleared the mother-board finally.
Once I faced a similar problem. I had only a spare power supply, tried it and cleared it. I couldn't do anything more since I didn't have spares for the other components. So I took it to the ASUS service center, sat with them and watched as they carried out the process. A professional set up like this will have all proven test modules. Finally it turned out to be the motherboard. The diagnosis: the graphics chip in the motherboard was heating up and shutting down the system. The motherboard under warranty was replaced.
Now you know why a professional setup is required for troubleshooting this type of problems.