I have some multi-parented data, that I run a recursive CTE against to find common ancestors:

    item_id |item_name |path_name    |id_path_array |
    --------|----------|-------------|--------------|
    1       |D         |B->Two->D    |{9,4,1}       |
    2       |E         |B->Two->E    |{9,4,2}       |
    13      |W         |B->Two->D->W |{9,4,1,13}    |
    14      |Y         |B->Two->D->Y |{9,4,1,14}    |
    15      |X         |B->Two->E->X |{9,4,2,15}    |
    16      |Z         |B->Two->E->Z |{9,4,2,16}    |

However, what I really want here is just the first two rows; I want to remove the rows that represent paths that have already been covered by a shorter path.  e.g. obviously if 'D' is a common ancestor then all of D's ancestors are too, so I don't want to include the paths for them.

I did think I had something with an array operator:

    select * from common_ancestors q1
    where exists (
        select 1 from common_ancestors q2
        where q1.id_path_array <@ q2.id_path_array and q1.item_id <> q2.item_id)

but even though it gives the right result here, I'm not convinced it's correct.  I would be happy to hear opinions or alternative solutions .

https://www.db-fiddle.com/f/kjBAERSmyTw6EnFw4fefih/0