Have you tried to updating the graphics version? In case you haven't try that here is the link Downloads for Intel® HD Graphics 4000 for 3rd Generation Intel® Core™ Processors filter according to your OS.
For all you know it is the update that screwed up the system. On my motherboard - 3rd Gen I3 with T suffix, every attempt by Windows OS or the Intel driver utility has failed. From my personal experience, of almost 25 years, only chipset and on board graphics for either Intel or AMD platform that are worth their name were VIA. They were certainly a bit slower but were rock solid.