1. Ensure you have an Active Directory Connector.
  2. Configure HTML Form Adapter (works stand-alone)
  3. Configure Kerberos Adapter(works stand-alone)
  4. Configure PingID Adapter (doesn’t work stand-alone)
  5. Configure Composite Adapter of HTML Form Adapter+PingID Adapter
  6. Configure Composite Adapter of Kerberos Adapter+PingID Adapter
  7. Set Policy to use Composite Kerberos+PingID Adapter, Success = Done. Fail = HTML Form Adapter+PingID Adapter.     Success = Done, Fail = Done.
  8. Configure your SP, include both composite adapters. See attached screenshots for sample configuration.

For your reference, we have taken screenshots of our test environment's adapters and policies as well here.