premise: A dog with a ball in his mouth running down a road covered in leaves.
hypothesis: A dog running down a leaf covered road carrying a ball in it's mouth
explanation_1: A dog who is running could be running with a ball in his mouth.  When a dog is running down the road the road could be covered in leaves.  Both are saying the same thing but in a different order.
explanation_2: If the road the dog is on is covered in leaves, it is a leaf covered road.
explanation_3: The second sentence is a rephrasing of the first sentence, even using the same words: dog, ball, road and leaves.
premise_logic: exists e2 e1 s1 x1 x2 x3 x4 x5 x6.(in(e2,x6) & n_leaf(x6) & Theme(e2,x1) & v_cover(e2) & with(x1,x2) & in(x2,x3) & a_down(s1) & Manner(e1,s1) & Theme(e1,x5) & Actor(e1,x4) & v_run(e1) & n_road(x5) & (x3 = x4) & n_mouth(x3) & of(x3,x1) & n_male(x1) & n_ball(x2) & n_dog(x1))
hypothesis_logic: exists e2 e1 e3 p1 s1 x1 x2 x3 x4 x5 x6.(exists x7.((x1 = x7) & n_mouth(x7)) & a_down(s1) & Manner(e3,s1) & Theme(e3,x3) & Actor(e3,x2) & v_run(e3) & Theme(e2,x6) & Actor(e2,x5) & v_carry(e2) & in(x6,x1) & n_thing(x1) & n_ball(x6) & (x3 = x5) & n_road(x3) & Theme(e1,x3) & v_cover(e1) & of(x3,x4) & n_leaf(x4) & (x1 = x2) & n_dog(x1))
premise_sim: exists e2 e1 s1 x1 x2 x3 x4 x5 x6.(with(x1,x2) & v_run(e1) & v_cover(e2) & of(x3,x1) & n_road(x5) & n_mouth(x3) & n_male(x1) & n_leaf(x6) & n_dog(x1) & n_ball(x2) & in(x2,x3) & in(e2,x6) & a_down(s1) & Theme(e2,x1) & Theme(e1,x5) & Manner(e1,s1) & Actor(e1,x4) & (x3 = x4))
hypothesis_sim: exists e2 e1 e3 s1 x1 x2 x3 x4 x5 x6.(v_run(e3) & v_cover(e1) & v_carry(e2) & of(x3,x4) & n_thing(x1) & n_road(x3) & n_leaf(x4) & n_dog(x1) & n_ball(x6) & in(x6,x1) & exists x7.(n_mouth(x7) & (x1 = x7)) & a_down(s1) & Theme(e3,x3) & Theme(e2,x6) & Theme(e1,x3) & Manner(e3,s1) & Actor(e3,x2) & Actor(e2,x5) & (x3 = x5) & (x1 = x2))