A large dog licking its nose.
A dog is licking peanut butter off its nose.
The other dog is not necessarily large. It was not specified what the other dog are licking in its nose aside from peanut butter.
exists e1 s1 x1 x2 x3.(a_topic(x1) & Theme(e1,x3) & Actor(e1,x2) & v_lick(e1) & n_nose(x3) & of(x3,x1) & n_thing(x1) & (x1 = x2) & n_dog(x1) & a_large(s1) & Theme(s1,x1))
exists e1 x1 x2 x3 x4.(off(e1,x4) & n_nose(x4) & of(x4,x1) & n_thing(x1) & Theme(e1,x2) & Actor(e1,x1) & v_lick(e1) & n_butter(x2) & of(x2,x3) & n_peanut(x3) & n_dog(x1))