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on-restart-benchmarks/software/mza/share/minizinc/std/fzn_diffn_nonstrict_k.mzn

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MiniZinc

predicate fzn_diffn_nonstrict_k(array[int,int] of var int: box_posn,
array[int,int] of var int: box_size) =
let { set of int: DIMS= index_set_2of2(box_posn) } in
forall(b1, b2 in index_set_1of2(box_posn) where b1 < b2)
(fzn_diffn_nonstrict_nonoverlap_k([ 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_nonstrict_nonoverlap_k(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))
(w1[j] = 0 \/ w2[j] = 0 \/ x1[j] + w1[j] <= x2[j] \/ x2[j] + w2[j] <= x1[j]);