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on-restart-benchmarks/share/minizinc/linear/fzn_lex_chain_lesseq_orbitope.mzn
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MiniZinc

include "lex_lesseq.mzn";
predicate fzn_lex_chain_lesseq_orbitope(
array[int, int] of var int: a, int: kind) =
if MZN__Orbitope then
fzn_lex_chain_lesseq__orbitope( a,
card(index_set_1of2(a)), kind, true,
not mzn_in_symmetry_breaking_constraint()
)
else
fzn_lex_chain_lesseq_orbitope__CP(a, kind)
endif;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% SCIP 7.0.2, binary matrix, columns sorted
predicate fzn_lex_chain_lesseq__orbitope(array[int, int] of var int: matr,
int: m, int: orbType, bool: resolveprop, bool: isModelCons);
predicate fzn_lex_chain_lesseq_orbitope__CP(
array[int, int] of var int: a, int: kind) =
let {
int: lb2 = min(index_set_2of2(a)),
int: ub2 = max(index_set_2of2(a))
} in (
forall(j in lb2 + 1 .. ub2) (
lex_lesseq(col(a, j-1), col(a, j))
)
/\
if 1==kind then
forall(i in index_set_1of2(a))(
1 == sum(row(a, i))
)
elseif 2==kind then
forall(i in index_set_1of2(a))(
1 >= sum(row(a, i))
)
else true
endif
);