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MiniZinc

predicate fzn_knapsack_reif(array[int] of int: w, array[int] of int:p,
array[int] of var int:x, var int: W, var int: P, var bool: b) =
b <-> (
forall (i in index_set(x)) (x[i] >= 0) /\
W >= 0 /\ P >= 0 /\
P = sum(i in index_set(p)) (x[i]*p[i]) /\
W = sum(i in index_set(w)) (x[i]*w[i])
);