Cheerleaders are on the field cheering.
Cheerleaders cheer on a field for an activity.
Cheerleaders are on the field cheering it is the same as cheer on a field for an activity.
exists p1 x1 x2 x3.(n_cheering(x2) & of(x2,x3) & n_field(x3) & on(x1,x2) & n_cheerleader(x1))
exists e1 x1 x2 x3.(for(e1,x3) & n_activity(x3) & on(e1,x2) & n_field(x2) & Actor(e1,x1) & v_cheer(e1) & n_cheerleader(x1))