The impact of cyclic references on garbage collector performance

Let's explore whether the garbage collector can free objects of type X and Y when they reference each other in a cycle.

public class Main {
    public static void main(String[] args) {
        X objX = new X();
        Y objY = new Y();

        objX.y = objY;
        objY.x = objX;

        // Will the objects X and Y be freed?
        System.gc();
    }
}