KMC Forums - How can Batman win against Superman even with green K since Superman has beaten Lex L

I posted this thread on the wrong forum, I finally saw there is a versus thread here.

How can Batman win against Superman even with green K since Superman has beaten Lex Luthor in battle armor with green K so many times?
(I like both characters equally,but honestly Superman would kill Batman)
It doesn't make any sense, does it?
Captain America surviving in a nuclear reactor, knocking the nosecone off a nuke and wrestling Thor for a minute, Batman dominating Karate Kid, Darkseid, Captain Nazi, Amazo, Despero, Solomon Grundy, the General, the Hyperclan, the Sensei, the Devil, NKV Demon, Artemis, Supergirl, Doomsday clones, the Maximums, and Superwoman-does it mean Batman beats Superman who is trying to kill him?

And what metahumans Batman has defeated with and without help and did they want to kill Batman in the fight (only inside the mainstream continuity fights, please)?
Thanks.

In all eight one-shots of Bruce Wayne: The Road Home, which sets after the events of Batman: The Return of Bruce Wayne, show that Batman has developed an exosuit mimicking Amazo's capability of copying metahuman powers, includes Superman's heat vision, superspeed possibly from the Man of Steel or The Flash, Martian Manhunter's invisibility, emitting a Green Lantern's ring's energy, and a lasso mirroring Wonder Woman's Lasso of Truth. However, There is a design flaw on this suit: it uses too much power to keep it functioning, which Batman must only use it for limited amount of time.

Let's suppose Superman becomes evil and wants to destroy entire Earth he defeats and actually kills all superheroes who tried to stop him. None is mind-controlling him, this is Superman's own choice he lost his in humanity, he lost his own humanity, and he uses his powers at the most extreme levels just to kill everyone. Let's suppose Batman is the last survivor on Earth, and he has built an high-tech super-powered battle exosuit to mimic all of metahuman powers like the above. But let's suppose also that that this exosuit is powered by nuclear energy inside itself with nuclear battery (which means it can function for immense amount of time and/or backed up by solar radiation and cosmic radiation, however nuclear battery should be just enough)-the question is could this Batman with power-mimicking exosuit (as described above) stand a chance against bloodlusted, evil Superman?

Or simply show a gold kryptonite which totally nullifies Superman's powers, so basically Superman becomes a normal human with no powers? Than he uses the sword and cuts Superman in half or simply transport him at the heart of red supergiant star like he (Batman) did to Super-Amazo?

The fact is, Batman only needs to improve this exosuit (and maybe combine with the most indestructible metal in DC universe) that its powers can last for immense amount of time and gold kryptonite.
What do you think about these possible fights, what would be the outcome?

How about completely powerless Superman vs. Batman (without his utility belts-in a fair fight to the the death, who wins...

Thanks to all for your opinions, time and patience.
Cheers.