The people have some animals with them.
they have cats
The animals that the people have with them, do not have to be cats.
exists e1 x1 x2.(n_thing(x1) & n_people(x1) & Theme(e1,x2) & Actor(e1,x1) & v_have(e1) & with(x2,x1) & n_animal(x2))
exists e1 x1 x2.(n_thing(x1) & Theme(e1,x2) & Actor(e1,x1) & v_have(e1) & n_cat(x2))