A group of people are on the beach in cold weather and are jumping simultaneously.
A group of people jump at the same time at the beach.
Same time and simultaneously are the same thing. Jump and jumping have the same meaning.
exists e1 p1 s1 x1 x2 x3 x4 x5.(n_beach(x5) & a_simultaneously(s1) & Manner(e1,s1) & Actor(e1,x3) & v_jump(e1) & of(x3,x4) & n_people(x4) & n_group(x3) & exists s2 x6.(on(x1,x5) & in(x5,x6) & n_weather(x6) & a_cold(s2) & Theme(s2,x6)) & of(x1,x2) & n_people(x2) & n_group(x1))
exists e1 s1 x1 x2 x3 x4.(n_beach(x4) & n_time(x3) & a_same(s1) & Theme(s1,x3) & at(e1,x3) & at(x3,x4) & Actor(e1,x1) & v_jump(e1) & of(x1,x2) & n_people(x2) & n_group(x1))