Archaeologists are on the ground digging for something.
someone is listening to music
Someone does not have to be an archaeologist.  Someone is either digging or listening for music.
exists p1 x1 x2.(n_ground(x2) & exists e1 x3 x4.(on(x1,x2) & for(e1,x4) & n_thing(x4) & Actor(e1,x3) & v_dig(e1) & (x2 = x3)) & n_archaeologist(x1))
exists e1 x1 x2.(to(e1,x2) & n_music(x2) & Actor(e1,x1) & v_listen(e1) & n_person(x1))