A man is cooking outdoors with a female watching.
A wife is watching her husband cook.
A man cooking outdoors with a female watching is not necessarily a wife watching her husband cook.
exists p1 x1.(exists s1 s2 x2 x3.((x1 = x2) & with(x2,x3) & n_watching(x3) & a_female(s2) & Theme(s2,x3) & n_outdoors(x2) & a_cooking(s1) & Theme(s1,x2)) & n_man(x1))
exists e1 x1 x2 x3.(Theme(e1,x2) & Actor(e1,x1) & v_watch(e1) & n_cook(x2) & of(x2,x3) & n_husband(x3) & of(x2,x1) & n_female(x1) & n_wife(x1))