A man and a woman can prepare meals at camp together.
The man and woman are counselors for a summer camp.
Just because a man and a woman can prepare meals at camp together does not imply that they are counselors for a summer camp.
exists e1 p1 x1 x2 x3.(exists e2 s1 x4 x5.(a_together(s1) & Manner(e2,s1) & at(e2,x5) & n_camp(x5) & Theme(e2,x4) & Actor(e2,x1) & v_prepare(e2) & n_meal(x4)) & Topic(e1,p1) & Actor(e1,x1) & v_can(e1) & subset_of(x3,x1) & n_woman(x3) & subset_of(x2,x1) & n_man(x2))
exists p1 x1 x2 x3.(n_woman(x3) & n_man(x2) & subset_of(x3,x1) & subset_of(x2,x1) & exists x4 x5 x6.((x1 = x4) & for(x4,x5) & n_camp(x5) & of(x5,x6) & n_summer(x6) & n_counselor(x4)))