The closest I have seen is a line in Nancy Sinatra's one-hit-wonder "These Boots Are Made For Walking":
You keep lying, when you oughta be truthin'
and you keep losin' when you oughta not bet.
You keep samin' when you oughta be changin'.
Now what's right is right, but you ain't been right yet.
I'll have to think about whether there is a single verb in English for staying the same.