@Test
public void firstIsIdentityTest() {

    int n = 3;
    Graph g = new Graph(n);
    g.connectionTable = new int[][]{{0, 1, 1}, {1, 0, 0}, {1, 0, 0}};
    PermutationGroup group = new PermutationGroup(n);
    MockRefiner refiner = new MockRefiner(g);
    setup(refiner, group, g);
    refiner.refine(Partition.unit(n));
    Assert.assertTrue(refiner.firstIsIdentity());
}