The Barts have 4 hires, black, green, red, and white.
Connect the red and white together and tape them off. Green is ground and black is hot. The bare wire goes to ground.
Then they just wire up to the pots as normal.
Here's their instruction sheet showing a lot of wiring options. At the bottom you can see the wiring without any switches.
Dual coil pickups with 4 conductor cable - (50KB PDF)