A man cooking is cooking on his barbecue.
A woman bakes a cake.
There can either be a man or a woman.
exists e1 x1 x2 x3.(on(e1,x3) & n_barbecue(x3) & of(x3,x1) & n_male(x1) & Actor(e1,x1) & v_cook(e1) & n_cooking(x1) & of(x1,x2) & n_man(x2))
exists e1 x1 x2.(Theme(e1,x2) & Actor(e1,x1) & v_bake(e1) & n_cake(x2) & n_woman(x1))