Two man are outdoors cooking over an open fire.
The men cooked over the fire for their guests.
Just because men are cooking doesn't mean they are having guests over and are making the food for them.
exists p1 x1.(exists e1 s1 x2 x3 x4.((x1 = x2) & over(e1,x4) & n_fire(x4) & a_open(s1) & Theme(s1,x4) & Actor(e1,x3) & v_cook(e1) & (x2 = x3) & n_outdoors(x2)) & n_man(x1) & card_eq_2(x1))
exists e1 x1 x2 x3.(n_guest(x3) & of(x3,x2) & n_thing(x2) & n_fire(x2) & n_man(x1) & over(e1,x2) & for(x2,x3) & Actor(e1,x1) & v_cook(e1))