I have seen similar problems to mine, but mine is slightly different.
I have Windows seven, with an intel HD graphics 4000 and an NVIDIA G force 670.
I have an HDMI splitter attached so I can used both graphics cards - one for 3d movies, and one for gaming.
The Nvidia is working fine, but with the Intel in use I get wallpaper but no icons and no taskbar. I have tried:
Ctrl+Alt+Delete (I get Black screen)
Safe Mode (Fine when the Nvidia is use, "No signal to monitor" using the Intel)
All I can access on the Intel is right mouse click. I can access the Intel display set up, but it doesn't change anything.
I don't think this has anything to do with the splitter, because If I go straight to the monitor bypassing the splitter the problem remains.
I have recently reinstalled windows 7 after a major glitch with windows 10. Today is the first time I have tried to use the Intel Graphics card since the reinstall, so a roll back won't fix this.
Thanks in advance,