Atheists are under no obligation to provide a definition of gods we don't believe in. Theists assert that a god - at least - exists; atheists reject that assertion as unsupported until it's not. If the god(s) in which atheists don't believe is ill-defined, or undefined, that's the theists' problem.
At the age of five, Skagra decided emphatically that God did not exist. This revelation tends to make most people in the universe who have it react in one of two ways - with relief or with despair. Only Skagra responded to it by thinking, 'Wait a second. That means there's a situation vacant.'