A man is a kitchen cooking.
A person is cooking in a kitchen.
A man is a person and "kitchen cooking" is a rephrasing of cooking in a kitchen.
exists p1 x1.(exists x2 x3.((x1 = x2) & n_cooking(x2) & of(x2,x3) & n_kitchen(x3)) & n_man(x1))
exists e1 x1 x2.(in(e1,x2) & n_kitchen(x2) & Actor(e1,x1) & v_cook(e1) & n_person(x1))