Group performs a dance together.
There is a dance competition going on.
Just because a group performs a dance together, it doesn't mean there is competition going on.
exists e1 s1 x1 x2.(ne_org_group(x1) & a_together(s1) & Manner(e1,s1) & Theme(e1,x2) & Actor(e1,x1) & v_perform(e1) & n_dance(x2))
exists p1 x1 e1 s1 x2 x3 x4.((x1 = x2) & a_on(s1) & Manner(e1,s1) & Actor(e1,x4) & v_go(e1) & (x2 = x4) & n_competition(x2) & of(x2,x3) & n_dance(x3))