Given 5 nodes: A,B,C,D and E and the following subset starts:

A^C
A^D
B^D
C^E

There are 32 (4*2^(5-2)) non-distinct subsets

By hand I know that there are 13 overlapping subsets so I try to eliminate a few options

A^C^D   (overlap between first and second)
A^B^D   (overlap between second and third)
A^C^E   (overlap between first and last)


These are 3*2^(5-3) = 12 subsets eliminated now. So I'm still missing 1?