premise: A man with a dog.
hypothesis: The dog is on a leash.
explanation_1: Just because there is A man with a dog does not mean the dog is on a leash.
premise_logic: exists x1 x2.(a_topic(x1) & with(x1,x2) & n_dog(x2) & n_man(x1))
hypothesis_logic: exists p1 x1.(n_dog(x1) & exists x2.(on(x1,x2) & n_leash(x2)))
premise_sim: exists x1 x2.(with(x1,x2) & n_man(x1) & n_dog(x2) & a_topic(x1))
hypothesis_sim: exists x1.(n_dog(x1) & exists x2.(on(x1,x2) & n_leash(x2)))