The javascript tool at UEDA helps immensely. Of note: you want to go to edit mode, and clear the board to red. Then go around and toggle the on-state power poles to blue. After many tries (it's impossible to zoom out far enough to see it comfortably, and standing on the pipes above the cliff on the north failes to give on-state visibility) I found it easiest to just standin the middle and look north and then left/right, and then south.
Then click solve, and you should be able to toggle the solution buttons. The only user feedback that the game gives that you *Have* successfully "shot down a ship" is a little bleepy noise. It's not the most sensible thing, but once that goes off, go find the ship and search it.
Meh. This was easy enough when there were not people spastically running around toggling switches randomly and refusing to work together. My best advice if you find yourself in that situation is to move on for the time being and come back in an off hour. Whoever pointed out that this was a dumb quest not to instance was right indeed.
This is a 3x3 Lights out puzzle.
http://www.ueda.info.waseda.ac.jp/~n-kato/lightsout/index.html is a solver for it. Just click edit and change the lights to follow what you see in game.
Hope that helps.