Photoshop CS6 crashes constantly when selecting tools or saving

Question

Like the title says, my CS6 keeps crashing constantly. Sometimes it's after I click a tooltip, sometimes it's when I save, sometimes it's when I use a keyboard shortcut. I get the same crash report every time:
Problem signature:
  Problem Event Name:    APPCRASH
  Application Name:    Photoshop.exe
  Application Version:    13.0.0.0
  Application Timestamp:    4f61c045
  Fault Module Name:    atio6axx.dll
  Fault Module Version:    6.14.10.10834
  Fault Module Timestamp:    4e0a9ece
  Exception Code:    c0000005
  Exception Offset:    0000000000a9aa18
  OS Version:    6.1.7601.2.1.0.256.48
  Locale ID:    1033
  Additional Information 1:    0806
  Additional Information 2:    080660b487fa79c54bfdc44925b85c70
  Additional Information 3:    4830
  Additional Information 4:    4830143a5fc0cbd9a9b9c210dd5425a3
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Answer 1

I installed 12.3 and restarted my computer. This did not solve the problem.
I've reinstalled Photoshop twice as well with no developments.
Then, I found this thread: http://forums.adobe.com/message/4289204
My card (Radeon X 1300 / X 1550) is not listed in the "Tested video cards for Photoshop CS6" section.
If I go to Edit->Preferences->Performance, and mouse-over the "Graphics Processor Settings" section, it says "Photoshop detected an error in your display driver. Update or reinstall the driver and check Use Graphics Processor to retry".
Is there any way around this?