Code reduction possible with modulo operator?

I'm trying to model a puzzle in order to resolve it with the Choco solver.

One of the constraint I'm coding is cyclical (it's triplet which follow themselves) like the following example:

s.post(LogicalConstraintFactory.ifThen(
    IntConstraintFactory.member(mvt[i], new int[]{1, 2, 3}),
    IntConstraintFactory.not_member(mvt[i + 1], new int[]{1, 2, 3})
));
s.post(LogicalConstraintFactory.ifThen(
    IntConstraintFactory.member(mvt[i], new int[]{4, 5, 6}),
    IntConstraintFactory.not_member(mvt[i + 1], new int[]{4, 5, 6})
));
s.post(LogicalConstraintFactory.ifThen(
    IntConstraintFactory.member(mvt[i], new int[]{7, 8, 9}),
    IntConstraintFactory.not_member(mvt[i + 1], new int[]{7, 8, 9})
));
// and so one...

I think that my library isn't very known so the mathematics equivalent is :

if(foo[i] is in {1, 2, 3}) then
    foo[i+1] shouldn't be in {1, 2, 3}
if(foo[i] is in {4, 5, 6}) then
    foo[i+1] shouldn't be in {4, 5, 6}
...

Any idea of how I can model this problem with modulo (to avoid writing each triplet)?

If your triplets were zero-based (i.e., {0, 1, 2}, {3, 4, 5}, …) then the answer might have been more obvious. As it is, you have to apply an offset of -1, then divide by three to figure out which triplet an element belongs to.

if ((mvt[i] - 1) / 3 == (mvt[i + 1] - 1) / 3) {
    // This shouldn't happen: mvt[i] and mvt[i + 1] are in the same triplet
}

StackExchange Code Review Q#41737, answer score: 6