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MiniZinc

/***
!Test
solvers: [gecode, chuffed]
expected: !Result
solution: !Solution
x: 3
y: 8
***/
var 1..8: x;
var 1..10: y;
constraint x > 1 -> y > 7;
constraint x = 1 -> y < 3;
constraint x + y <= 11;
solve :: int_search([y,x],first_fail,indomain_min,complete)
maximize x + y;