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XPS m1530 gaming problems

So recently over the past couple of weeks, whenever I start up games like Torchlight or Fallout 3, my computer will hard power down in around 10 seconds after starting the game. Furthermore, If I ever try to measure my windows experience index, when it tests it, the computer will turn off whenever it reaches the 3d batch 10 assessment phase. Also, my computer has had overheating problems for about a year which have been manageable with a cooling pad, but I'm pretty sure that overheating isn't causing the problem since it happens so quickly. So I'm thinking that my GPU must have failed for one reason  or another, but when I run the dell diagnostics i get nothing. Has anyone else had similar problems with games? If so does anyone have a solution? Also, my warranty ran out a little while ago, but supposedly a limited warranty enhancement can be gained if your computer's GPU failed since Nvidia acknowledged a huge design flaw in numerous different graphics cards (As stated here, but after explaining my problem to Dell, I got rejected...though I don't actually know why since when I asked they basically responded with the reason because we said so?  Anyone got any Ideas, or opinions on what I should do or why I was rejected?

My computer specs are:

   Operating System: Windows 7 Professional 64-bit (6.1, Build 7600) (7600.win7_gdr.100226-1909)
           Language: English (Regional Setting: English)
System Manufacturer: Dell Inc.
       System Model: XPS M1530                      
               BIOS: Phoenix ROM BIOS PLUS Version 1.10 A12
          Processor: Intel(R) Core(TM)2 Duo CPU     T9300  @ 2.50GHz (2 CPUs), ~2.5GHz
             Memory: 4096MB RAM
Available OS Memory: 4094MB RAM
          Page File: 1317MB used, 6868MB available
        Windows Dir: C:\Windows
    DirectX Version: DirectX 11

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