Two men barbecuing at a beach.
two men cooking
The fact that there are two men cooking does not imply that the two men are barbecuing.
exists e1 x1 x2 x3.(a_topic(x1) & at(e1,x3) & n_beach(x3) & Actor(e1,x2) & v_barbecue(e1) & (x1 = x2) & n_man(x1) & card_eq_2(x1))
exists x1 x2.(n_cooking(x1) & of(x1,x2) & n_man(x2) & card_eq_2(x1) & a_topic(x1))