The Set Game

Neither of those.

Member: Lion
Non-member: Mouse, fish, your grandmother, desert wolf, elephant
 
Nah :(

Member: Lion
Non-member: Mouse, fish, your grandmother, desert wolf, elephant, Toto, Dogbert
 
Member: Lion
Non-member: Mouse, fish, your grandmother, desert wolf, elephant, Toto, Dogbert, tiger, rat

(Trust me, this isn't really obscure... you've just been unlucky so far.)
 
Member: Lion
Non-member: Mouse, fish, your grandmother, desert wolf, elephant, Toto, Dogbert, tiger, rat, llama, elephant

At what point should I add a couple more words to the member list?
 
Good one. It's not that, though.

Member: Lion
Non-member: Mouse, fish, your grandmother, desert wolf, elephant, Toto, Dogbert, tiger, rat, llama, elephant, cafe, bistro
 
Nope. This might well be too obscure... I'll add in another one to the members list.

Member: Lion, cowboy
Non-member: Mouse, fish, your grandmother, desert wolf, elephant, Toto, Dogbert, tiger, rat, llama, elephant, cafe, bistro, Mars, iPod, pa, christmas
 
Member: Lion, cowboy
Non-member: Mouse, fish, your grandmother, desert wolf, elephant, Toto, Dogbert, tiger, rat, llama, elephant, cafe, bistro, Mars, iPod, pa, christmas, Mexican, Chinese, poo, pee
 
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