$S = \{(x,y): x \text{ is a sibling of } y\}$. Why is this relation not transitive?

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It seems to me that when we define "sibling" to mean a brother or a sister, if person a is a sibling of person b and person b is a sibling of person c, then person a is a sibling of person c.

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A sibling of B and B sibling of A, if transitive would give A sibling of A which is not the usual use of "sibling".