The statement Felix and Oscar are roommates. Oscar is messy and Felix plans to move out unless they can come to an agreement. The roommates can only reach a private solution if Oscar compensates Felix for being messy' is false.
A possible solution for Oscar being messy is not only the possibility that Oscar compensates or pays money to Felix for being messy. Hence, the statement above is false.
Oscar can offer other compensation methods such as offering to clean the room and assign turns for cleaning or he can hire a maid for the mess that he makes. Paying Felix for the mess that Oscar makes can be a solution but it is not the best possible solution in the above case. The best possible solution will be to find a way to make the room clean.
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