A group of men playing against each other in a football match.
a group of people are doing something
group of people doing something doesn't necessarily imply playing a football match
exists e1 x1 x2 x3.(a_topic(x1) & of(x1,x2) & all x4.(n_other(x4) -> exists x5 x6.(in(e1,x5) & n_match(x5) & of(x5,x6) & n_football(x6) & against(e1,x4))) & Actor(e1,x3) & v_play(e1) & (x2 = x3) & n_man(x2) & n_group(x1))
exists e1 x1 x2 x3.(Theme(e1,x3) & Actor(e1,x1) & v_do(e1) & n_thing(x3) & of(x1,x2) & n_people(x2) & n_group(x1))