premise: A small white dog running on a pebble covered beach.
hypothesis: A dog runs after his boy and the frisbee.
explanation_1: A dog could be running on a beach for many reasons. Running after a boy and frisbee add a lot more context and can't be inferred just from knowing that the dog is running. "Running after" is more specific than "running".
premise_logic: exists e1 s1 s2 s3 s4 x1 x2 x3.(a_topic(x1) & on(e1,x3) & n_beach(x3) & a_covered(s4) & Theme(s4,x3) & a_pebble(s3) & Theme(s3,x3) & Actor(e1,x2) & v_run(e1) & (x1 = x2) & n_dog(x1) & a_white(s2) & Theme(s2,x1) & a_small(s1) & Theme(s1,x1))
hypothesis_logic: exists e1 x1 x2 x3 x4.(n_frisbee(x4) & after(e1,x2) & subset_of(x4,x2) & subset_of(x3,x2) & n_boy(x3) & of(x3,x1) & n_male(x1) & Actor(e1,x1) & v_run(e1) & n_dog(x1))
premise_sim: exists e1 s1 s2 s3 s4 x1 x2 x3.(v_run(e1) & on(e1,x3) & n_dog(x1) & n_beach(x3) & a_white(s2) & a_topic(x1) & a_small(s1) & a_pebble(s3) & a_covered(s4) & Theme(s4,x3) & Theme(s3,x3) & Theme(s2,x1) & Theme(s1,x1) & Actor(e1,x2) & (x1 = x2))
hypothesis_sim: exists e1 x1 x2 x3 x4.(v_run(e1) & subset_of(x4,x2) & subset_of(x3,x2) & of(x3,x1) & n_male(x1) & n_frisbee(x4) & n_dog(x1) & n_boy(x3) & after(e1,x2) & Actor(e1,x1))