A man wearing a cowboy hat rides on a bucking brown horse.
The man with the comboy hat on is riding a brown animal.
The man wearing a cowboy hat is riding a bucking brown horse so he must be riding a brown animal.
exists e3 e1 e2 s1 x1 x2 x3 x4 x5.(on(e2,x5) & n_horse(x5) & a_brown(s1) & Theme(s1,x5) & Actor(e3,x5) & v_buck(e3) & Actor(e2,x1) & v_ride(e2) & Theme(e1,x3) & Actor(e1,x2) & v_wear(e1) & n_hat(x3) & of(x3,x4) & n_cowboy(x4) & (x1 = x2) & n_man(x1))
exists e1 s1 s2 x1 x2 x3 x4 x5.(n_hat(x2) & of(x2,x3) & n_comboy(x3) & n_man(x1) & Theme(e1,x5) & Actor(e1,x1) & v_ride(e1) & n_animal(x5) & a_brown(s2) & Theme(s2,x5) & with(x1,x2) & Theme(s1,x4) & a_on(s1) & (x2 = x4))