There are plenty of people in the city shopping.
There are people doing Christmas shopping.
There are plenty of people in the city shopping does not mean that they are doing Christmas shopping.
exists p1 x1 x4 x5.(n_shopping(x4) & of(x4,x5) & n_city(x5) & exists x2 x3.((x1 = x2) & of(x2,x3) & in(x3,x4) & n_people(x3) & n_plenty(x2)))
exists p1 x1 e1 x2 x3 x4 x5.((x1 = x2) & Theme(e1,x4) & Actor(e1,x3) & v_do(e1) & n_shopping(x4) & (x4 = x5) & ne_tim_christmas(x5) & (x2 = x3) & n_people(x2))