Prolog Tree Nodes Path

Question

Hello, I have basic knowledge about prolog and I am facing problems in writing the prolog code for the following problem: Write the fact about the above figure and writ

Answer 1

edge(ne,n1).
edge(n1,n2).
edge(n1,n3).
edge(n3,n7).
edge(n7,nx).
edge(n3,n4).
edge(n4,n5).
edge(n5,nx).
edge(n4,n6).
edge(n6,nx).

pos_path(A, B, Path) :-
   path(edge, Path, A, B).

using path/4 defined in another question.