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MiniZinc

/***
--- !Test
solvers: [gecode, chuffed]
expected: !Result
solution: !Solution
x: 5
y: 1
***/
var 1..8: x;
var 1..10: y;
var 1..10: z;
var 1..10: w;
constraint x = 1 -> x < 1;
constraint x > 1 -> y < 5;
constraint x > 1 -> z < 5;
constraint x > 1 -> w < 5;
constraint y = 1 -> x > 4;
solve :: int_search([x,y,z,w],first_fail,indomain_min,complete)
satisfy;