here's your possibilities on what controls what

each stat controls the AC.....if the floor isn't calling it shuts down as the 1st did when the 2nd started to cool.....you have to have ZONE damper motors within view some place down from the supply duct in the attic that is the only way air is being shutoff.if you feel ambitious pull the 1st floor and 2nd floor stats off thier subbases ,and count the wires on each, and the lettering and color the are wired too.a modulating motor might have 3-4 wires max and the main stat would have no less then 5 (R,G,Y,C,W)