Downtime Puzzle, again

[GM-Ayu]

Though my solution is much shorter:

"Every meeting must produce 2 acquaintanceships. If they are telling the truth, then there is an odd number of acquaintanceships. This is a contradiction."

I didn't get this. lol.

If you and I meet up, we have one meeting.

I'll say "I'm now acquainted with Cute." (met 1 person)
You'll say "I'm now acquainted with Ayu." (met 1 person)
Total acquaintanceship: 2

Say the you also met up with Galt as well. now there's 2 meetings.

I'll say "I'm now acquainted with Cute." (met 1 person)
You'll say "I'm now acquainted with Ayu and Galt." (met 2 people)
Galt will say "I'm now acquainted with Cute." (met 1 person)
Total acquaintanceship: 4


So you see that as you increase the number of meetings by 1, total of the acquaintanceship always go up by unit of 2 though. So, it's impossible to have an acquaintanceship of an odd amount. Someone must be lying.