These people are demonstrating for their leader.
These people have a common leader.
People have the same leader in common.
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 s1 x1 x2.(n_people(x1) & Theme(e1,x2) & Actor(e1,x1) & v_have(e1) & n_leader(x2) & a_common(s1) & Theme(s1,x2))