These people are demonstrating for their leader.
The people are showing the leader what they have been doing.
doesn't necessarily mean what they have been doing
exists e1 x1 x2.(n_leader(x2) & of(x2,x1) & n_thing(x1) & n_people(x1) & for(e1,x2) & Actor(e1,x1) & v_demonstrate(e1))
exists e1 e2 x1 x2 x3.(n_thing(x2) & n_leader(x2) & n_people(x1) & Theme(e2,x2) & Actor(e2,x1) & v_show(e2) & Theme(e1,x3) & Actor(e1,x2) & v_do(e1) & (x2 = x3))