A troupe of dancers performs in a parade.
A group of people are performing for others.
A troupe of dancers is one example of a group of people.  Since parades are always put on for others, it is safe to infer that since they are performing in a parade they are performing for others.
exists e1 x1 x2 x3.(in(e1,x3) & n_parade(x3) & Actor(e1,x1) & v_perform(e1) & of(x1,x2) & n_dancer(x2) & n_troupe(x1))
exists e1 x1 x2 x3.(for(e1,x3) & -(x3 = x1) & n_person(x1) & n_person(x3) & Actor(e1,x1) & v_perform(e1) & of(x1,x2) & n_people(x2) & n_group(x1))