A group of people walking down a trail in the woods with two dogs leading the way.
The dogs are on a manhunt through the woods with police officers in tow.
The first sentence does not imply that the group are police officers, and further it is unclear from the first sentence what the mission of the walk is, so you cannot infer that it is a manhunt.
exists e2 e1 s1 x1 x2 x3 x4 x5 x6 x7 x8.(n_way(x8) & n_wood(x5) & a_topic(x1) & of(x1,x2) & with(e1,x6) & Theme(e2,x8) & Actor(e2,x7) & v_lead(e2) & (x6 = x7) & n_dog(x6) & card_eq_2(x6) & in(e1,x5) & a_down(s1) & Manner(e1,s1) & Theme(e1,x4) & Actor(e1,x3) & v_walk(e1) & n_trail(x4) & (x2 = x3) & n_people(x2) & n_group(x1))
exists p1 x1 x2 x3 x4 x5.(n_wood(x2) & n_dog(x1) & in(p1,x5) & n_tow(x5) & through(p1,x2) & with(x2,x3) & n_officer(x3) & of(x3,x4) & n_police(x4) & exists x6.(on(x1,x6) & n_manhunt(x6)))