The woman in the purple dress is looking towards the people at the door with her hand running through her hair.
The woman is wearing purple
The "woman is wearing purple" must be wearing a dress since she is the "woman in the purple dress "
exists e1 e2 s1 x1 x2 x3 x4 x5 x6 x7.(n_hair(x7) & of(x7,x1) & n_female(x1) & n_female(x1) & n_hand(x5) & of(x5,x1) & n_door(x4) & n_people(x3) & n_dress(x2) & a_purple(s1) & Theme(s1,x2) & n_woman(x1) & towards(e1,x3) & through(e2,x7) & Actor(e2,x6) & v_run(e2) & (x3 = x6) & at(x3,x4) & with(x4,x5) & Actor(e1,x1) & v_look(e1) & in(x1,x2))
exists e1 x1 x2.(n_woman(x1) & Theme(e1,x2) & Actor(e1,x1) & v_wear(e1) & n_purple(x2))