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In the diagram AB --> -B-C-, the arrow pointing towards -B- indicates that B cannot sit in those seats. Therefore, statement A, "A sits next to B, then B sits next to C," contradicts the diagram because it suggests that A and B are sitting next to each other, which is not possible based on the restriction in the initial diagram. Therefore, statement A is the correct answer.

Statement B is consistent with the diagram since it says "A does not sit next to B," which aligns with the restriction in the diagram.

Statement C is also consistent with the diagram as it says "B sits next to A, then C is not next to B," which follows the given constraints.

Statement D contradicts the diagram because it states "B sits next to C," but the diagram shows that B cannot sit in the -B- seats.