The reason for this challenge is to prove that it would be an assumption that the universe or anything in it is more than 6000 years old.
There are multiple lines of evidence that show that many things are much older, including from all the evidence for evolution, cosmology, physics, astrophysics, astronomy, geology, palaeontology, archaeology, genetics, and statistics.
When these are pointed out, you just run away.
As for me, I only have one assumption - that God the Creator of all things exists.
Which is utterly baseless.
And so I proved that one assumption with several infallible proofs,
In your dreams. Even the phrase "infallible proofs" shows profound ignorance of logic and science. Every single one of your supposed 'proofs' is comically absurd and shows ignorance of the subjects you claim to use.
One proof uses the law of non contradiction where you assume no God. That leads to many contradictions.
Utterly absurd and baseless claim.
Another proof used mathematiCal induction
All that proved is that you know nothing about mathematical induction or how to use it to prove anything. It was utterly and laughable inept. It didn't even look like it might be a valid mathematical induction proof. Even its supposed conclusion was not the existence of a god, just that there are intelligent designers. Nobody disputes that. Quite clearly humans are intelligent designers.