The brown dog is out in the snow.
The dog was going to the bathroom in the snow.
The dog is in the snow and the option of going to the bathroom may be available, but we aren't told what he is doing.
exists p1 s1 s2 x1 x2.(n_snow(x2) & n_dog(x1) & a_brown(s1) & Theme(s1,x1) & a_out(s2) & Manner(p1,s2) & in(x1,x2))
exists e1 x1 x2 x3.(n_snow(x3) & n_bathroom(x2) & n_dog(x1) & in(e1,x3) & to(e1,x2) & Actor(e1,x1) & v_go(e1))