A fluffy white dog is outside.
The  animal was  saw  outdoors.
In sentence one we know the white dog is outside, which is why the "animal" seen outdoors must be referring to it.
exists s1 s2 s3 x1.(Theme(s3,x1) & a_outside(s3) & n_dog(x1) & a_white(s2) & Theme(s2,x1) & a_fluffy(s1) & Theme(s1,x1))
exists p1 x1.(n_animal(x1) & exists x2 x3.((x1 = x2) & n_outdoors(x2) & of(x2,x3) & n_saw(x3)))