People are at a party at night.
a group is partying at night for the 4th of july
Not all parties are for the 4th of july.
exists p1 x1 x2.(at(p1,x2) & n_night(x2) & exists x3.(at(x1,x3) & n_party(x3)) & n_people(x1))
exists e1 x1 x2 x3 x4.(n_date(x3) & a_date_day_04(x3) & a_date_day_04(x3) & at(e1,x2) & for(x2,x3) & of(x3,x4) & n_july(x4) & n_night(x2) & Actor(e1,x1) & v_party(e1) & n_group(x1))