premise: A man smoking a cigarette is working outside.
hypothesis: A woman eats a slice of pizza.
explanation_1: It cannot be a man and a woman simultaneously.
explanation_2: One can be either a man or a woman.  Smoking does not usually occur while one eats.
explanation_3: A man can not be a woman
premise_logic: exists e1 e2 s1 x1 x2 x3.(a_outside(s1) & Manner(e2,s1) & Actor(e2,x1) & v_work(e2) & Theme(e1,x3) & Actor(e1,x2) & v_smoke(e1) & n_cigarette(x3) & (x1 = x2) & n_man(x1))
hypothesis_logic: exists e1 x1 x2 x3.(Theme(e1,x2) & Actor(e1,x1) & v_eat(e1) & of(x2,x3) & n_pizza(x3) & n_slice(x2) & n_woman(x1))