Recently I assembled a "hackintosh" utilizing the Gigabyte Intel Z77 LGA 1155 Dual UEFI BIOS ATX Motherboard GA-Z77-DS3H and the Intel Core i5-3570K Quad-Core Processor with Intel HD 4000 graphics. Installation via tonymacx86's UniBeast with OS X Mountain Lion 10.8.3, later updated with Combo Update 10.8.4, was a walk in the park however, enabling HD 4000 graphics was not so much.
The Build:
NZXT Source 210 Midtower Case
Corsair Builder Series CX 600 Watt ATX/EPS 80 PLUS (CX600)
Gigabyte Intel Z77 LGA 1155 Dual UEFI BIOS ATX Motherboard GA-Z77-DS3H
Intel Core i5-3570K Quad-Core Processor 3.4 GHz 4 Core LGA 1155
Kingston Technology HyperX 8 GB (2x4 GB Modules) 1600 MHz DDR3
EVGA GeForce GT 620 1024MB GDDR3, DVI, VGA and HDMI Graphics Card
OCZ Technology 128GB Vertex 4 Series SATA 6.0 GB/s 2.5-Inch Solid State Drive
Kingston Technology HyperX 8 GB (2x4 GB Modules) 1600 MHz DDR3
EVGA GeForce GT 620 1024MB GDDR3, DVI, VGA and HDMI Graphics Card
OCZ Technology 128GB Vertex 4 Series SATA 6.0 GB/s 2.5-Inch Solid State Drive
Below are the MultiBeast installation options used:
Using boot flag PCIRootUID=1, the system would boot completely, but the HD4000 graphics were not functioning as they should, and appeared to be using only basic generic drivers/kexts rendering the graphics flickering and laggy. I thought, at least now I will be able to test the audio, NOPE! No audio output or input options were available in System Preferences>>Audio.
After installing, uninstalling, and reinstalling various drivers for Intel HDA with only partial successes, cracking and popping, but now with available inputs and outputs displayed in Audio preferences, I reinstalled OS X Combo Update 10.8.4 to reset all audio kexts I had messed with. This time booting with PCIRootUID=0 and using a GeForce 8400 GS graphics card I was able to boot flawlessly into OS X Mountain Lion 10.8.4 with adequate graphics performance and crystal clear audio!
It would seem to me that the Intel HD 4000 graphics may not be fully or properly supported on the Gigabyte Z77-DS3H motherboard or within OS X. For those considering a similar build I recommend ditching the integrated graphics and spending a few bucks on a well supported Nvidia graphics card. This will surely save you much head banging while installing your build.