When opposing forces fail to resolve their differences but successfully turn away their supporters in the process.
The Two Party System has resulted in a failmate for the Citizens of the United States of America.
When two events coincide in the course of attempt to correct one fail leading to a second fail in which both parties are unable to continue due to shame.
An example of a failmate would be if a group of thieves stole a car with no wheels, then the cops who came to get them hit the parked car. The double fail means that no beneficial conclusion can be reached by either party without suffering epic shaming.