Hello Guest, I've found a mistake again. (When I got your question it was about 4 a.m. in my country, so I answered kind of mechanically ...) Let me correct it.
?(3) = CHASE(?X?x(?y(DOG(y)?x=y)? ?X(x)), j) ... this translation is a completely mistake. It should be:
?(3) = ?x(?y(DOG(y)?x=y) ?...