Men, women and children dance at a party.
Adults and children are dancing at a birthday celebration.
You cannot assume the adults and children are at a birthday celebration because people have parties for many reasons.
exists x1 x2 x3 x4 x5 x6.(a_topic(x1) & rel(x1,x2) & subset_of(x4,x2) & at(x4,x6) & n_party(x6) & n_dance(x4) & of(x4,x5) & n_child(x5) & subset_of(x3,x2) & n_woman(x3) & n_man(x1))
exists e1 x1 x2 x3 x4 x5.(at(e1,x4) & n_celebration(x4) & of(x4,x5) & n_birthday(x5) & Actor(e1,x1) & v_dance(e1) & n_child(x3) & n_adult(x2) & subset_of(x3,x1) & subset_of(x2,x1))