The solitary man wearing the hat is walking in the field.
A man is wearing a hat.
A solitary man is a man, and wearing the hat is a paraphrase of is wearing a hat.
exists e1 e2 s1 x1 x2 x3 x4.(n_field(x4) & n_hat(x3) & n_man(x1) & a_solitary(s1) & Theme(s1,x1) & in(e2,x4) & Actor(e2,x1) & v_walk(e2) & Theme(e1,x3) & Actor(e1,x2) & v_wear(e1) & (x1 = x2))
exists e1 x1 x2.(Theme(e1,x2) & Actor(e1,x1) & v_wear(e1) & n_hat(x2) & n_man(x1))