The man, who is wearing the handkerchief, is performing a task with the tub while the woman watches.
The lady is watching a man with a handkerchief do something with a tub.
Do something and performing a task may mean the same thing.
exists e1 e2 x1 x2 x3 x4 x5 x6 x7.(n_watch(x6) & of(x6,x7) & n_woman(x7) & n_tub(x5) & n_handkerchief(x3) & n_man(x1) & while(e2,x6) & with(e2,x5) & Theme(e2,x4) & Actor(e2,x1) & v_perform(e2) & n_task(x4) & Theme(e1,x3) & Actor(e1,x2) & v_wear(e1) & (x1 = x2))
exists e1 e2 x1 x2 x3 x4 x5 x6.(n_lady(x1) & with(e1,x3) & Theme(e2,x5) & Actor(e2,x4) & v_do(e2) & with(x5,x6) & n_tub(x6) & n_thing(x5) & (x3 = x4) & n_handkerchief(x3) & Theme(e1,x2) & Actor(e1,x1) & v_watch(e1) & n_man(x2))