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fd-neq adds a closure to the constraint store and runs it once on post. After every label binding, fd-fire-store re-runs all stored constraints — when one side of a fd-neq later becomes ground, the domain of the other side has the value removed. Propagator semantics: (number, number) -> equal? fail : ok (number, var) -> remove number from var's domain (var, number) -> symmetric (var, var) -> defer (re-fires after each label step) Pigeonhole-fails test confirms the constraint flow ends correctly: 3 vars all-pairwise-distinct over a 2-element domain has no solutions. 7 new tests, 593/593 cumulative.