Yep - beat a phase, and entity 366 gets added if that wasn't the last phase (as the player can select how many phases, default 1).
Phases 4 and 5 are unlocked later on - if you actually get 5 phases in the first try (should be impossible), Kim Ethnarch will rant at the player for a full day.
And no progress - Kim's doing something secretive in that other OpenOffice.org Calc program thing apparently. (Says it'll change LS for the crazier?)