A half dozen construction workers stand beside a large piece of equipment.
6 men are working on a project
Half dozen construction workers do not have to be 6 men.  Just because construction workers stand beside equipment it does not mean they are working on a project.
exists e1 s1 x1 x2 x3 x4 x5 x6.(beside(e1,x5) & of(x5,x6) & n_equipment(x6) & n_piece(x5) & a_large(s1) & Theme(s1,x5) & Actor(e1,x1) & v_stand(e1) & n_worker(x1) & of(x1,x4) & n_construction(x4) & of(x1,x3) & n_dozen(x3) & of(x1,x2) & n_half(x2))
exists e1 x1 x2.(on(e1,x2) & n_project(x2) & Actor(e1,x1) & v_work(e1) & n_man(x1) & n_date(x1) & a_date_day_06(x1) & a_date_day_06(x1))