Three people are sitting around a table playing a game.
There are some people playing a table game
Three people can be considered "some people" and they are participating in the same activity in both sentences.
exists e1 e2 x1 x2 x3.(for(e1,e2) & Theme(e2,x3) & Actor(e2,x1) & v_play(e2) & n_game(x3) & around(e1,x2) & n_table(x2) & Actor(e1,x1) & v_sit(e1) & n_people(x1) & card_eq_3(x1))
exists p1 x1 e1 x2 x3 x4 x5.((x1 = x2) & Theme(e1,x4) & Actor(e1,x3) & v_play(e1) & n_game(x4) & of(x4,x5) & n_table(x5) & (x2 = x3) & n_people(x2))