"Outcounterexampled": there's a neologism worthy of German.

I must object. Because this is derivation, not composition. German is noteworthy for its long compositional word formations (though many other language are, too, e.g., Finnish). German can do derivation, too, but not significantly more than English (and the verb prefix 'out-' is hard to map into German in this case). For admiring derivation, you'd have to point to, e.g., Greenlandic instead (e.g. _iliorfigeqatigiissariaqaraluarput_ roughly 'they should work together' (from the Declaration of Human Rights)).

To be clear, I do like 'outcounterexampled' a lot!

Outcounter example: I was playing baseball, and when the outcounter advanced to three, it was the other team's turn to play.

Übergegenbeispielt.

Geübergegenbeispielt

vibe counterexamplemaxxing

Better as one word "vibecounterexamplemaxxing"

We were outvibecounterexamplemaxxing them when suddenly, they reoutvibecounterexamplemaxxed us.

vibe-counter example: 1, 2, miss a few, 99, 100.

or that viral AI short example of a vibe-counter: Okay, you start with 1, and then I'll say 2, and then you'll say 3, and we'll continue like that. Great idea. I'll start with 1, and then you'll say 2, and then I'll say 3. That's right, I start with 1, and then you say 2...