Little kids are on an amusement park ride.
There are parents with the little kids.
Parents with the kids is not implied by kids on an amusement ride.
exists p1 s1 x1.(exists x2 x3 x4.(on(x1,x2) & n_ride(x2) & of(x2,x4) & n_park(x4) & of(x2,x3) & n_amusement(x3)) & n_kid(x1) & a_little(s1) & Theme(s1,x1))
exists p1 s1 x1 x3.(n_kid(x3) & a_little(s1) & Theme(s1,x3) & exists x2.((x1 = x2) & with(x2,x3) & n_parent(x2)))