premise: An old man with a hat is painting.
hypothesis: A man is singing a song.
explanation_1: The man cannot be painting and singing a song simultaneously.
premise_logic: exists p1 s1 x1 x2.(exists x3.((x1 = x3) & n_painting(x3)) & with(x1,x2) & n_hat(x2) & n_man(x1) & a_old(s1) & Theme(s1,x1))
hypothesis_logic: exists e1 x1 x2.(Theme(e1,x2) & Actor(e1,x1) & v_sing(e1) & n_song(x2) & n_man(x1))
premise_sim: exists s1 x1 x2.(with(x1,x2) & n_man(x1) & n_hat(x2) & exists x3.(n_painting(x3) & (x1 = x3)) & a_old(s1) & Theme(s1,x1))
hypothesis_sim: exists e1 x1 x2.(v_sing(e1) & n_song(x2) & n_man(x1) & Theme(e1,x2) & Actor(e1,x1))