> That's the irrefutability of the law of the excluded middle, and yes it's 
> probably the most difficult of the regular exercises.  Here you go
>

BTW, if someone is still trying to solve it himself there is a hint in 
previous tasks. Look at De Morgan's law which convert disjunction into 
conjunction - it contains all the necessary steps. That's exactly how I was 
able to solve it.

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