Mike, sounds like you need a water saw. Something to keep the temperatures down below the melting point of the resin. I don't know if you can safely flood the counter and use a traditional saw without getting electocuted or the GFCI from constantly tripping.
Fabricators use water jets to cut this. Basically an industrial water pistol. It's amazing to watch this thing cut through 3 cm granite like butter.
"They that can give up essential liberty to obtain a little temporary safety deserve neither liberty nor safety."
B. Franklin 1759