Then that isn't the problem. I measured the corresponding pins on the monitor when it was unplugged, I got about 80 ohms.
Now I have tried running only a 4870 and also only the 4850 that worked before. Now they don't. Driver: 13-1 legacy. I'm beginning to think something in Windows is corrupted. For speed reasons, we deactivated windows update when we installed this machine, and then forgot about it. Now I have re-activated it to see if that does the trick. It will take some time, so I'll try it tomorrow. It's 10:50PM here in Sweden.
Have you tried using one of the older full Catalyst Suite drivers that support the HD4xxx cards as opposed to the legacy drivers? (not available for Windows 8 ). The legacy driver set doesn't support hardware accelerated OpenGL support, (no Minecraft

) so perhaps OpenCL is compromised or removed too.