Two children hug one another.
One child is giving another child a hug.
One child and another child is two children. If they are hugging one another, that is a different way to phrase that one child is giving another child a hug.
exists e1 s1 x1 x2.(Theme(e1,x2) & Actor(e1,x1) & v_hug(e1) & n_thing(x2) & card_eq_1(x2) & a_another(s1) & Theme(s1,x2) & n_child(x1) & card_eq_2(x1))
exists e1 x1 x2 x3.(Recipient(e1,x3) & Theme(e1,x2) & Actor(e1,x1) & v_give(e1) & n_child(x3) & -(x3 = x1) & n_child(x1) & n_child(x1) & n_hug(x2) & card_eq_1(x1))