A man in a blue sweater and baseball cap is working with wood.
There is a woman in a red dress.
The first sentence mentions a man while the second sentence mentions a woman.  Therefore, these persons are not the same.
exists e1 s1 x1 x2 x3 x4 x5 x6.(with(e1,x6) & n_wood(x6) & Actor(e1,x1) & v_work(e1) & in(x1,x2) & n_cap(x4) & of(x4,x5) & n_baseball(x5) & n_sweater(x3) & subset_of(x4,x2) & subset_of(x3,x2) & a_blue(s1) & Theme(s1,x2) & n_man(x1))
exists p1 x1 s1 x2 x3.((x1 = x2) & in(x2,x3) & n_dress(x3) & a_red(s1) & Theme(s1,x3) & n_woman(x2))