Players are playing a game of sport.
People are playing a game of sport with friends
You can not infer that they are playing with friends.
exists e1 x1 x2 x3.(Theme(e1,x2) & Actor(e1,x1) & v_play(e1) & of(x2,x3) & n_sport(x3) & n_game(x2) & n_player(x1))
exists e1 x1 x2 x3 x4.(with(e1,x4) & n_friend(x4) & Theme(e1,x2) & Actor(e1,x1) & v_play(e1) & of(x2,x3) & n_sport(x3) & n_game(x2) & n_people(x1))