premise: An old man wearing a hat is working on a project.
hypothesis: An old man is wearing a hat.
explanation_1: An old man is wearing a hat on a project.
explanation_2: Wearing is a paraphrase of is wearing.
explanation_3: The man is wearing a hat.
premise_logic: exists e1 e2 s1 x1 x2 x3 x4.(on(e2,x4) & n_project(x4) & Actor(e2,x1) & v_work(e2) & Theme(e1,x3) & Actor(e1,x2) & v_wear(e1) & n_hat(x3) & (x1 = x2) & n_man(x1) & a_old(s1) & Theme(s1,x1))
hypothesis_logic: exists e1 s1 x1 x2.(Theme(e1,x2) & Actor(e1,x1) & v_wear(e1) & n_hat(x2) & n_man(x1) & a_old(s1) & Theme(s1,x1))