An older man with a white beard is looking at a city map.
Someone wearing a hat is looking at a map.
No information to lead me to believe the old man was wearing a hat, also he could be looking at any map not just a map of the city.
exists e1 s1 s2 x1 x2 x3 x4.(at(e1,x3) & n_map(x3) & of(x3,x4) & n_city(x4) & Actor(e1,x1) & v_look(e1) & with(x1,x2) & n_beard(x2) & a_white(s2) & Theme(s2,x2) & n_man(x1) & r_more(s1) & a_older(s1) & Theme(s1,x1))
exists e1 e2 x1 x2 x3 x4.(at(e2,x4) & n_map(x4) & Actor(e2,x1) & v_look(e2) & Theme(e1,x3) & Actor(e1,x2) & v_wear(e1) & n_hat(x3) & (x1 = x2) & n_person(x1))