premise: Dog running with a purple toy in the snowy field.
hypothesis: A dog is excited.
explanation_1: if a dog was running with a toy does't imply that he was excited.
explanation_2: You can not infer the dog is excited.
explanation_3: Running isn't synonymous with excited, a dog runs for many reasons.
premise_logic: exists e1 s1 s2 x1 x2 x3.(n_field(x3) & a_snowy(s2) & Theme(s2,x3) & ne_nam_dog(x1) & with(e1,x2) & in(x2,x3) & n_toy(x2) & a_purple(s1) & Theme(s1,x2) & Actor(e1,x1) & v_run(e1))
hypothesis_logic: exists e1 x1.(Theme(e1,x1) & v_excite(e1) & n_dog(x1))