SystemEDGE and VAIM are the same product as VAIM. VAIM is the later name given to the product when it was rebranded.
Here are examples of the way the versions correspond to each other:
VAIM 12.7 is the same as SystemEDGE 5.7
VAIM 12.8 is the same as SystemEDGE 5.8
VAIM 12.9 is the same as SystemEDGE 5.9.