These people are demonstrating for their leader.
People are demonstrating to help their leader
Demonstrating does not mean help.
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 p1 x1 x2.(Topic(e1,p1) & Actor(e1,x1) & v_demonstrate(e1) & exists e2.(Theme(e2,x2) & Actor(e2,x1) & v_help(e2)) & n_leader(x2) & of(x2,x1) & n_thing(x1) & n_people(x1))