Two teams are competing against each other on a field.
Two teams are playing against each other on the field.
Two teams competing against each other and playing against each other are synonymous as part of the original description on a field.
exists e1 x1 x2.(on(e1,x2) & n_field(x2) & all x3.(n_other(x3) -> against(e1,x3)) & Actor(e1,x1) & v_compete(e1) & n_team(x1) & card_eq_2(x1))
exists e1 x1 x3.(n_field(x3) & all x2.(n_other(x2) -> (on(e1,x3) & against(e1,x2))) & Actor(e1,x1) & v_play(e1) & n_team(x1) & card_eq_2(x1))