<font color="blue"> will a 3 point mount post hole digger go through slate rock </font>
Some augers do better than others with rock, but a phd is not designed to drill through a layer rock. Most augers will simply sit and spin when they hit rock because they do not have downforce. Rocks that can fit between the flutes can be brought up, but going through a layer of rock? Not usually.
I suggest giving Danuser a call and tell them what you're running into and see what they recommend. There are hydraulic models that fit on a FEL, allowing you to use the FEL to apply downforce. There are also models that fit on a Bobcat.