Hello fellow logicians!

I'm trying to translate the following prolog problem to core.logic:

>From http://tjeyamy.blogspot.com/2011/02/path-finding-in-prolog.html


edge(1,2).
edge(1,4).
edge(2,4).
edge(3,6).
edge(3,7).
edge(4,3).
edge(4,5).
edge(5,6).
edge(5,7).
edge(6,5).
edge(7,5).
edge(8,6).
edge(8,7).

path(X,Y,[X,Y]):- edge(X,Y).
path(X,Y,[X|Xs]):- edge(X,W), path(W,Y,Xs).

path(1, 7, P).

%Results
Z = [1, 2, 4, 3, 6, 5, 7];
Z = [1, 2, 4, 3, 6, 5, 6, 5, 7];


Here are a couple of my own attempts using core.logic:

(defrel edge x y)

(fact edge 1 2)
(fact edge 1 4)
(fact edge 2 4)
(fact edge 3 6)
(fact edge 3 7)
(fact edge 4 3)
(fact edge 4 5)
(fact edge 5 6)
(fact edge 5 7)
(fact edge 6 5)
(fact edge 7 5)
(fact edge 8 6)
(fact edge 8 7)

(defn path2 [x y p]
  (conde
   [(fresh []
           (conso x [y] p)
           (edge x y))]
   [(fresh [w r]
           (conso x r p)
           (edge x w)
           (path2 w y r))]))

(defne path3 [x y p]
  ([ x y [x . [y] ] ]
     (edge x y))
  ([ x y [x . r] ]
     (fresh [w]
            (edge x w)
            (path3 w y r))))

Hopefully I've understood enough that path3 is just the pattern matching 
version of path2 ;-)  What happens, though, is that both of these end up in 
an infinite loop.  Any hints about what I'm doing wrong?  I'm sure I'm 
missing something fundamental here.  Is there some sort of debugging I can 
do to figure this out?  Or some way to trace execution?

Thanks for any help!

Cheers,
Craig

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