//
// implication
// part 2.
//
// x=2 -> y in {1,3}
// x=2
//

import static choco.Choco.*;
import choco.cp.model.CPModel;
import choco.cp.solver.CPSolver;
import choco.kernel.model.Model;
import choco.kernel.solver.Solver;
import choco.kernel.model.variables.integer.IntegerVariable;
import choco.kernel.solver.ContradictionException;
import choco.kernel.model.constraints.Constraint;


public class Prop5 {

  public static void main(String[] args) throws ContradictionException {

    Model m = new CPModel();
    
    // EDIT
    // m.setDefaultExpressionDecomposition(true);

    IntegerVariable x = makeIntVar("x",0,4,"cp:enum");
    IntegerVariable y = makeIntVar("y",0,4,"cp:enum");

    m.addConstraint(implies(eq(x,2),or(eq(y,1),eq(y,3))));
    m.addConstraint(eq(x,2));

    Solver s = new CPSolver();
    s.read(m);
    s.propagate();
    System.out.println(s.getVar(x).pretty());
    System.out.println(s.getVar(y).pretty());
    //
    // NOTE: what value does y now have?
    //
  }
}