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MiniZinc

%-----------------------------------------------------------------------------%
% Requires at least 'n' variables in 'x' to take the value 'v'.
%-----------------------------------------------------------------------------%
predicate fzn_at_least_set(int: n, array[int] of var set of int: x, set of int: v) =
sum(i in index_set(x)) ( bool2int(x[i] == v) ) >= n;