What would you call this Rig?

One of the sailboats docked right at the marina complex is an interesting rig. I know a boat with the mast way up at the bow is a cat rig...not to be confused with a catamaran sailboat. But this boat has a main mast and missen mast (if that's how you spell it?). I asked my captain if that boat was a cat rig but he said no it's a schooner as the main mast is aft of the missen mast.  I knew that concerning the masts but that doesn't take into consideration the way forward placement of the smaller forward mast....missen. Note also these are mast with no stays or shrouds.  First time I've seen a sailboat with the carbon fiber free standing masts.  Does any body know just what sort of rig this boat would be considered?