Take something like

  (1+x*y)^3*z+y^2*(1+x*y)*(4+3*x*y);y+3*x*(1+x*y)^2*z+3*x*y^2*(4+3*x*y);2*x-3*x^2*y-x^3*z|0,0,-1/4|1,-3/2,13/2

If a thousand monkeys typed at a character per second, on a keyboard with the 23 relevant characters, it would take roughly 10^136 years for them to come up with this counterexample. Though, to be fair to monkey scenario, there's a large family of them known now, so it's not quite this bad: suppose there are a trillion permutations and similar examples that fit in this string. Then we are down to 10^124 years.

If LLMs are monkeys, somehow trained LLM weights allow them to model and prune massive numbers of universes in parallel.

Just FTR - 1 character per second is glacially slow - it's 12 wpm - fine for (slow) transcription, but the monkey typing exercise doesn't require them to know what they are typing out

How fast do your monkeys type?

Considering it's random characters being typed, and a skilled typist who is aiming to accurately type words out can hit between 70 and 100 words per minute - I would say that my monkeys could "type" an order of magnitude faster than 1 char per second