An old man is walking with his head down.
The man walked with his head held high.
Down implies low as high implies up, a man cannot hold his head down and up simultaneously.
exists e1 s1 s2 x1 x2.(a_down(s2) & Manner(e1,s2) & with(e1,x2) & n_head(x2) & of(x2,x1) & n_male(x1) & Actor(e1,x1) & v_walk(e1) & n_man(x1) & a_old(s1) & Theme(s1,x1))
exists e2 e1 p1 x1 x2 x3.(n_head(x2) & of(x2,x1) & n_male(x1) & n_man(x1) & with(e1,x2) & exists s1.(Theme(s1,x3) & a_high(s1)) & Recipient(e2,p1) & Topic(e2,x3) & v_hold(e2) & (x2 = x3) & Actor(e1,x1) & v_walk(e1))