premise: A closet contains exactly six hangers—1, 2, 3, 4, 5, and 6—hanging, in that order, from left to right. It also contains exactly six dresses—one gauze, one linen, one polyester, one rayon, one silk, and one wool—a different dress on each of the hangers, in an order satisfying the following conditions: The gauze dress is on a lower-numbered hanger than the polyester dress. The rayon dress is on hanger 1 or hanger 6. Either the wool dress or the silk dress is on hanger 3. The linen dress hangs immediately to the right of the silk dress. Which one of the following CANNOT be true?
hypothesis: The polyester dress hangs immediately to the right of the rayon dress.