premise: A woman is holding a cake frosted with chocolate-colored frosting and decorated with orange and yellow stars in front of a boy with blond-hair.
hypothesis: A woman has baked a chocolate frosted cake for the boys birthday.
explanation_1: The woman could or couldn't have baked the cake. Nothing says is the boy's birthday or that the cake is for him.
explanation_2: Just because a woman is holding a cake doesn't necessarily mean that the woman has baked the cake. A woman is holding a cake in front of a boy doesn't imply that the cake is for the boys birthday.
explanation_3: Having a cake doesn't imply having baked it. It could or couldn't be the boys birthday.
premise_logic: exists e3 e1 e2 s1 s2 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10.(in(e3,x8) & of(x8,x9) & with(x9,x10) & n_blond-hair(x10) & n_boy(x9) & n_front(x8) & Theme(e3,x2) & Actor(e3,x1) & v_hold(e3) & with(e2,x6) & n_star(x6) & a_yellow(s2) & Theme(s2,x6) & of(x6,x7) & n_orange(x7) & Theme(e2,x5) & v_decorate(e2) & (x2 = x5) & with(e1,x4) & n_frosting(x4) & a_chocolate-colored(s1) & Theme(s1,x4) & Theme(e1,x3) & v_frost(e1) & (x2 = x3) & n_cake(x2) & n_woman(x1))
hypothesis_logic: exists e1 e2 x1 x2 x3 x4 x5.(n_birthday(x4) & of(x4,x5) & n_boy(x5) & Theme(e2,x2) & Actor(e2,x1) & v_bake(e2) & for(x2,x4) & n_cake(x2) & Theme(e1,x2) & v_frost(e1) & of(x2,x3) & n_chocolate(x3) & n_woman(x1))