One child is wearing a pink striped hat, while the other is wearing a white hat. 
The children are both wearing hats.
A pink striped hat and a white hat are both types of hats worn by the children.
exists e1 p1 s1 s2 x1 x2 x3.(n_other(x3) & exists e2 s3 x4.(Theme(e2,x4) & Actor(e2,x3) & v_wear(e2) & n_hat(x4) & a_white(s3) & Theme(s3,x4)) & while(e1,p1) & Theme(e1,x2) & Actor(e1,x1) & v_wear(e1) & n_hat(x2) & a_striped(s2) & Theme(s2,x2) & a_pink(s1) & Theme(s1,x2) & n_child(x1) & card_eq_1(x1))
exists e1 s1 x1 x2.(n_child(x1) & a_both(s1) & Manner(e1,s1) & Theme(e1,x2) & Actor(e1,x1) & v_wear(e1) & n_hat(x2))