The man in a blue sweatshirt is in a kitchen.
The man is cooking.
Not all men cook. Not all men standing in a kitchen or near food are cooking.
exists p1 s1 x1 x2.(n_man(x1) & exists x3.(in(x1,x3) & n_kitchen(x3)) & in(x1,x2) & n_sweatshirt(x2) & a_blue(s1) & Theme(s1,x2))
exists s1 x1.(n_man(x1) & Theme(s1,x1) & a_cooking(s1))