Again, play as the Arbiter, with your opponent being Cutter and the AI set to Easy. Choose the map Chasms, build a temple and two supply pads ASAP, and then have your Ghost attack the enemy base ASAP as well. Destroy the Warthog, so it cannot gather supplies. Follow it if needs be.
When the warthog is gone, have the Ghost attack the (probably only) building the enemy has, (make sure it's a reactor). By this time your Arbiter should be ready and on his way to help destroy Cutter's base. If Cutter starts to build supply pads, focus all your attention on that, do not give him a chance to get supplies. Make sure his supply pads do not complete their building cycle. If he starts building something, have Arbiter trash it up before it completes! If the enemy Warthog is destroyed, and the enemy base as well, you are victorious and are granted this achievement.