"In this debate, it will be assumed that my IQ is over 9000 and that everyone else has IQ 360 or lower."
Assumed means accepted as true even without proof.
Since above is accepted as true, over 9000 is still higher than 360 even if you remove 30% from it. Also, IQ doesnt sum up, so even an infinite number of 360 IQ people wouldnt be able to solve 4000 IQ puzzle.
But to make my case something more than mere truth by description:
P1. All the objects I perceive exist only as contents of my mind.
P2. Any content of my mind depends on my mind for its existence.
C. Therefore, everything I can perceive depends on my mind.
P1. the only things I can perceive are those which are already part of my mind
P2. Parts of my mind cannot be greater or stronger or stronger debater than the whole mind, as they are already parts of mind
C. My mind is strongest thing and strongest debater I can possibly perceive.
thus, I will always be the strongest debater and it is not even possible to prove existence of something which isnt part of my mind.
Because other debaters cannot be proved to exist as independent minds, and I am proved to myself, I will always be the strongest debater.
Strongest debater is also the one which can make a claim but cannot be proved wrong.
I cannot be proved wrong, because statement "I am wrong" is in itself logically flawed because I cannot contain myself and additional claim about myself.
However, 60% of my mind can make a claim about remaining 40% and conclude that 40% is indeed the strongest debater.
So because I cannot be proved wrong ever, it is impossible for me to be proved wrong, and I cannot prove existence of other debaters, their existence is impossible outside my mind because if they are outside my mind, to me they dont exist, and if they are inside my mind, they cannot be greater or stronger than it as they belong to it.
So even when we accept description as true, these 360 IQ debaters would merely be less capable parts of my mind.
think about what this means. We can only know something exists if we can prove it. But existence outside mind is impossible to prove. From the standpoint of mind, nothing exists other than what mind can perceive, and mind can only perceive its own parts.
I cannot even think about anything which isnt already part of mind.
Whatever can be meaningfully thought of must exist as content of mind. A “mind-independent object” would have to be something whose existence can be thought of without it being a content of mind. But no such thought is possible. Everything I can think of, I can only think of when it is part of my mind.