Lady taking children on a hike through the woods.
A family is on a camping trip.
A lady with children does not imply that they are a family.
exists e1 x1 x2 x3 x4.(n_wood(x4) & ne_nam_lady(x1) & through(e1,x4) & on(e1,x3) & n_hike(x3) & Theme(e1,x2) & Actor(e1,x1) & v_take(e1) & n_child(x2))
exists p1 x1.(exists x2 x3.(on(x1,x2) & n_trip(x2) & of(x2,x3) & n_camping(x3)) & n_family(x1))