premise: Child is laughing and playing around.
hypothesis: The child is having a good time and cracking up.
explanation_1: Laughing and playing around implies having a good time.
explanation_2: Cracking up means laughing, and playing around is a way of having a good time.
explanation_3: Cracking up is another way of saying laughing; playing implies one is having a good time; so, child having a good time and cracking up is a rephrasing of child is laughing and playing around.
premise_logic: exists e2 e1 s1 x1 x2.(a_around(s1) & Manner(e2,s1) & Actor(e2,x2) & v_play(e2) & n_child(x2) & Actor(e1,x1) & v_laugh(e1) & n_child(x1))
hypothesis_logic: exists e2 e1 s1 s2 x1 x2.(n_child(x1) & a_up(s2) & Manner(e2,s2) & Actor(e2,x1) & v_crack(e2) & Theme(e1,x2) & Actor(e1,x1) & v_have(e1) & n_time(x2) & a_good(s1) & Theme(s1,x2))
premise_sim: exists e2 e1 s1 x1 x2.(v_play(e2) & v_laugh(e1) & n_child(x2) & n_child(x1) & a_around(s1) & Manner(e2,s1) & Actor(e2,x2) & Actor(e1,x1))
hypothesis_sim: exists e2 e1 s1 s2 x1 x2.(v_have(e1) & v_crack(e2) & n_time(x2) & n_child(x1) & a_up(s2) & a_good(s1) & Theme(s1,x2) & Theme(e1,x2) & Manner(e2,s2) & Actor(e2,x1) & Actor(e1,x1))