A child, carrying a closed blue umbrella, is walking with another child who is under a yellow umbrella, on a muddy path.
two kids on their way home from school in the rain
You cannot infer that the kids are on their way home from school in Sentence 1 because it just says they are walking without mentioning any starting point or destination.
exists e2 e1 p1 s1 s2 s3 x1 x2 x3 x4 x5.(for(e1,e2) & Theme(e2,x5) & Actor(e2,x1) & v_carry(e2) & n_umbrella(x5) & a_blue(s3) & Theme(s3,x5) & a_closed(s2) & Theme(s2,x5) & with(e1,x2) & on(p1,x4) & n_path(x4) & a_muddy(s1) & Theme(s1,x4) & exists s4 x6.(under(x3,x6) & n_umbrella(x6) & a_yellow(s4) & Theme(s4,x6)) & (x2 = x3) & n_child(x2) & -(x2 = x1) & n_child(x1) & n_child(x1) & Actor(e1,x1) & v_walk(e1))
exists x1 x2 x3 x4 x5.(n_rain(x5) & a_topic(x1) & in(x1,x5) & on(x1,x2) & from(x2,x4) & n_school(x4) & n_home(x2) & of(x2,x3) & n_way(x3) & of(x2,x1) & n_thing(x1) & n_kid(x1) & card_eq_2(x1))