The bat connects with the ball.
The bat swung by a child hits a ball
A bat can connect with a ball without being swung by a child.
exists e1 x1 x2.(n_ball(x2) & n_bat(x1) & with(e1,x2) & Actor(e1,x1) & v_connect(e1))
exists e1 e2 x1 x2 x3 x4.(n_bat(x1) & Theme(e2,x4) & Actor(e2,x1) & v_hit(e2) & n_ball(x4) & Actor(e1,x3) & n_child(x3) & Theme(e1,x2) & v_swing(e1) & (x1 = x2))