A man wearing a white hat is being stomped by a brown horse.
There is a guy wearing a white hat.
"Guy" is a common slang term for "man," so "guy wearing a white hat" means the same thing as "man wearing a white hat."
exists e2 e1 s1 s2 x1 x2 x3 x4.(Actor(e2,x4) & n_horse(x4) & a_brown(s2) & Theme(s2,x4) & Theme(e2,x1) & v_stomp(e2) & Theme(e1,x3) & Actor(e1,x2) & v_wear(e1) & n_hat(x3) & a_white(s1) & Theme(s1,x3) & (x1 = x2) & n_man(x1))
exists p1 x1 e1 s1 x2 x3 x4.((x1 = x2) & Theme(e1,x4) & Actor(e1,x3) & v_wear(e1) & n_hat(x4) & a_white(s1) & Theme(s1,x4) & (x2 = x3) & n_guy(x2))