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You mean the game should have more than 4 players on the table?

Yes! Because, like, from 3 examples alone, there are more than one reasonable/possible rule that could fit the that cards were played. If there were one or two more players at the table, you would get a few more examples before your turn, which in turn could help you eliminate some more possible rules, and find the correct one. 

You could argue that it would make the game too easy, but I think the time pressure would still make it quite a challenge.