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MiniZinc

/***
--- !Test
solvers: [gecode, chuffed]
expected: !Result
solution: !Solution
x: 9
y: 2
***/
var 1..10: x;
var 2..10: y;
constraint x = 1 -> y > 10;
constraint x > 1 -> x > 4;
constraint x + y <= 11;
solve :: int_search([x,y],smallest,indomain_min,complete)
maximize x + y;