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MiniZinc

include "all_different.mzn";
predicate fzn_inverse(array [int] of var int: x, array [int] of var int: y) =
alldifferent(x) /\ alldifferent(y) /\
forall (i in index_set(x), j in index_set(y)) (x[i] = j <-> y[j] = i);