Two women who just had lunch hugging and saying goodbye.
The friends have just met for the first time in 20 years, and have had a great time catching up.
Two women are not assumed to be friends.  Having lunch does not imply that they met for the first time in 20 years and had a great time catching up.
exists e2 e1 s1 x1 x2 x3 x4 x5 x6 x7.(a_topic(x1) & a_just(s1) & Manner(e2,s1) & Theme(e2,x3) & Actor(e2,x2) & v_have(e2) & subset_of(e1,x3) & Theme(e1,x7) & Actor(e1,x6) & v_say(e1) & n_goodbye(x7) & n_thing(x6) & subset_of(x4,x3) & n_hugging(x4) & of(x4,x5) & n_lunch(x5) & (x1 = x2) & n_woman(x1) & card_eq_2(x1))
exists e3 e2 e1 s1 s2 s3 s4 x1 x2 x3 x4.(n_friend(x1) & Theme(e3,x2) & Actor(e3,x1) & v_have(e3) & a_up(s4) & Manner(e2,s4) & Actor(e2,x4) & v_catch(e2) & (x2 = x4) & n_time(x2) & n_time(x2) & a_great(s3) & Theme(s3,x2) & a_just(s2) & Manner(e1,s2) & for(e1,x2) & in(x2,x3) & n_year(x3) & n_date(x3) & a_date_day_20(x3) & a_date_day_20(x3) & a_first(s1) & Theme(s1,x2) & Actor(e1,x1) & v_meet(e1))