Two soldiers are playing baseball and touching the base.
Two men are playing baseball and representing their unit in the military in the game.
Two soldiers are playing baseball but they aren't necessarily representing their unit in the military. They may or may not be playing an actual game.
exists e2 e1 x1 x2 x3 x4.(n_base(x4) & Theme(e2,x4) & Actor(e2,x3) & v_touch(e2) & n_soldier(x3) & card_eq_2(x3) & Theme(e1,x2) & Actor(e1,x1) & v_play(e1) & n_baseball(x2) & n_soldier(x1) & card_eq_2(x1))
exists e2 e1 x1 x2 x3 x4 x5 x6.(n_game(x6) & n_military(x5) & Theme(e2,x4) & Actor(e2,x3) & v_represent(e2) & in(x4,x5) & in(x5,x6) & n_unit(x4) & of(x4,x1) & n_thing(x1) & n_man(x3) & card_eq_2(x3) & Theme(e1,x2) & Actor(e1,x1) & v_play(e1) & n_baseball(x2) & n_man(x1) & card_eq_2(x1))