A man with a purple hat is climbing a rock.
A man holding a purple hat in his hand is climbing a rock.
A man with a purple hat doesn't implies that he is holding the hat
exists e1 s1 x1 x2 x3.(Theme(e1,x3) & Actor(e1,x1) & v_climb(e1) & n_rock(x3) & with(x1,x2) & n_hat(x2) & a_purple(s1) & Theme(s1,x2) & n_man(x1))
exists e1 e2 x1 x2 x3 x4 x5 x6.(Theme(e2,x6) & Actor(e2,x1) & v_climb(e2) & n_rock(x6) & in(e1,x5) & n_hand(x5) & of(x5,x1) & n_male(x1) & Theme(e1,x3) & Actor(e1,x2) & v_hold(e1) & n_hat(x3) & of(x3,x4) & n_purple(x4) & (x1 = x2) & n_man(x1))