ChatGPT refutes the key rebuttal of my work

Although it is possible for LLM systems to lie:
https://en.wikipedia.org/wiki/Hallucination_(artificial_intelligence)
ChatGPT does correctly apply truth preserving operations to
the premises that it was provided regarding the behavior of
DDD and HHH. *Try to find a mistake in its reasoning*
*The key premises are simply*
(a) the source code for DDD
void DDD()
{
   HHH(DDD);
   return;
}
(b) The design of HHH as a simulating termination analyzer.
https://chatgpt.com/share/6709e046-4794-8011-98b7-27066fb49f3e
Click on the above link to directly talk to ChatGPT about HHH
and DDD without logging in.
When you click on the link and try to explain how HHH must
be wrong when it reports that DDD does not terminate because
DDD does terminate it will explain your mistake to you.
--
Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer