Black and tan dog with object in mouth in the snow.
A dog holds a branch in its jaws.
Just because the dogs have something in their mouth does not mean it is a branch.
exists s1 s2 x1 x2 x3 x4 x5.(n_snow(x5) & ne_nam_black(x1) & a_topic(s1) & subset_of(x2,s1) & with(x2,x3) & in(x3,x4) & in(x4,x5) & n_mouth(x4) & n_object(x3) & n_dog(x2) & a_tan(s2) & Theme(s2,x2) & subset_of(x1,s1))
exists e1 x1 x2 x3.(in(e1,x3) & n_jaw(x3) & of(x3,x1) & n_thing(x1) & Theme(e1,x2) & Actor(e1,x1) & v_hold(e1) & n_branch(x2) & n_dog(x1))