The big dog is carrying an object is its mouth.
The dog carries an object in it's mouth.
the dog carries an object in its mouth also means the big dog carrying an object in its mouth
exists e1 p1 s1 x1 x2 x3 x4.(n_mouth(x4) & of(x4,x1) & n_thing(x1) & n_dog(x1) & a_big(s1) & Theme(s1,x1) & Theme(e1,x2) & Actor(e1,x1) & v_carry(e1) & (x3 = x4) & (x2 = x3) & n_object(x2))
exists e1 p1 x1 x2 x3.(n_thing(x1) & n_dog(x1) & Theme(e1,x2) & Actor(e1,x1) & v_carry(e1) & exists x4.((x3 = x4) & n_mouth(x4)) & (x2 = x3) & in(x2,x1) & n_object(x2))