Three women are riding in a carriage together.
People are riding with each other.
With each other and together share the same meaning.
exists e1 s1 x1 x2.(a_together(s1) & Manner(e1,s1) & in(e1,x2) & n_carriage(x2) & Actor(e1,x1) & v_ride(e1) & n_woman(x1) & card_eq_3(x1))
exists e1 x1.(all x2.(n_other(x2) -> with(e1,x2)) & Actor(e1,x1) & v_ride(e1) & n_people(x1))