A man on a white horse looks into the distance, as does a man in a red hat standing nearby.
A tall man.
Just because there were two men mentioned in the original sentence, there is no way to infer that either of the men are tall, or if they are looking into the distance to see a tall man.
exists e1 e3 e2 s1 s2 s3 x1 x2 x3 x4 x5 x6.(n_distance(x3) & r_as(e3) & Actor(e3,x4) & v_do(e3) & in(x4,x5) & a_nearby(s3) & Manner(e2,s3) & Actor(e2,x6) & v_stand(e2) & (x5 = x6) & n_hat(x5) & a_red(s2) & Theme(s2,x5) & n_man(x4) & into(e1,x3) & Actor(e1,x1) & v_look(e1) & on(x1,x2) & n_horse(x2) & a_white(s1) & Theme(s1,x2) & n_man(x1))
exists s1 x1.(a_topic(x1) & n_man(x1) & a_tall(s1) & Theme(s1,x1))