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MiniZinc

predicate fzn_writes(array[int] of var int: I, array[int] of var int: P,
array[int] of var int: V, array[int] of var int: O) =
forall(j in index_set(P))(O[P[j]] = V[j]) /\
forall(i in index_set(I))
(if forall(j in index_set(P))(P[j] != i) then
O[i] = I[i]
else true endif);
%-----------------------------------------------------------------------------%