School kids have a dance competition.
School kids trying to win a dance competition.
Sentence one does not indicate whether the dance competition is taking place so it cannot be inferred they are actively trying to win a dance competition.
exists e1 x1 x2 x3 x4.(Theme(e1,x3) & Actor(e1,x1) & v_have(e1) & n_competition(x3) & of(x3,x4) & n_dance(x4) & n_kid(x1) & (x1 = x2) & ne_nam_school(x2))
exists e1 p1 x1 x2 x3.(a_topic(x1) & Topic(e1,p1) & Actor(e1,x3) & v_try(e1) & exists e2 x4 x5.(Theme(e2,x4) & Actor(e2,x3) & v_win(e2) & n_competition(x4) & of(x4,x5) & n_dance(x5)) & (x1 = x3) & n_kid(x1) & (x1 = x2) & ne_nam_school(x2))