a little brown dog running through a field of grass
A dog chases a frisbee.
Sentence one says nothing about a frisbee.
exists e1 s1 s2 x1 x2 x3 x4.(a_topic(x1) & through(e1,x3) & of(x3,x4) & n_grass(x4) & n_field(x3) & Actor(e1,x2) & v_run(e1) & (x1 = x2) & n_dog(x1) & a_brown(s2) & Theme(s2,x1) & a_little(s1) & Theme(s1,x1))
exists e1 x1 x2.(Theme(e1,x2) & Actor(e1,x1) & v_chase(e1) & n_frisbee(x2) & n_dog(x1))