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on-restart-benchmarks/share/minizinc/std/fzn_diffn_k_reif.mzn
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MiniZinc

predicate fzn_diffn_k_reif(array[int,int] of var int: box_posn,
array[int,int] of var int: box_size, var bool: b) =
let { set of int: DIMS= index_set_2of2(box_posn) } in
b <-> forall(b1, b2 in index_set_1of2(box_posn) where b1 < b2)
(fzn_diffn_nonoverlap_k_for_reif([ box_posn[b1,j] | j in DIMS ],
[ box_size[b1,j] | j in DIMS ],
[ box_posn[b2,j] | j in DIMS ],
[ box_size[b2,j] | j in DIMS ] )
);
predicate fzn_diffn_nonoverlap_k_for_reif(array[int] of var int: x1,
array[int] of var int: w1,
array[int] of var int: x2,
array[int] of var int: w2) =
exists(j in index_set(x1))
(x1[j] + w1[j] <= x2[j] \/ x2[j] + w2[j] <= x1[j]);