Is this a proof of the Collatz Conjecture?

Question

I recently stumbled upon the following paper from April 2016: https://www.researchgate.net/publication/299749569_A_proof_of_the_Collatz_conjecture

Its researchers, who are university professors, claim it proves the Collatz conjetcture.

Since I have not been up to date with the status of this conjecture for a while, and because I found no disproofs of this document on the web, I was wondering if someone here can shed some light on this paper.

Thanks.

Answer 1

The authors claim that EVERY trajectory is asymptotic to a decreasing one, hence all trajectories tend to the $1,2,4$ cycle.

However any cycle that isn't, wouldn't affect the general asymptotic, and would effectively 'escape the radar'.