Slight confusion regarding overriding where variables are concerned

I'm preparing for the SCJP (recently rebranded as OCPJP by Oracle) and one particular question that I got wrong on a mock exam has confused me, the answer description doesn't explain things clear enough.

This is the question :

class A 
{
    int x = 5;
} 
class B extends A 
{
    int x = 6;
} 
public class CovariantTest 
{
    public A getObject() 
    {
       return new A();
    } 
    public static void main(String[]args) 
    {
       CovariantTest c1 = new SubCovariantTest();
       System.out.println(c1.getObject().x);
    }
}

class SubCovariantTest extends CovariantTest 
{
    public B getObject() 
    {
       return new B();
    }
}

The answer is 5, but I chose 6.

I understand that overriding applies to methods at runtime, and not variables, but the way my mind interpreted that println was :

1. call getObject on c1
2. c1 is actually a SubCovariantTest object, and has a valid override for getObject(), so use the overridden method
3. The override returns B, so grab x from B which is 6

Is it a case of the JVM ignoring the getObject() part, and always taking x from c1 as variables are associated at compile time?