It's silly to build a distributed system violating CAP theorem, in no circumstances anyone of us would even attempt that, it's the same as trying to fly faster than speed of light.
Okay what did you give up: C, A, or P? Remember you said I am wrong, so surely you can answer this very quickly right
CfB and mthcl, the onus is on you to prove and demonstrate what you have given up from the CAP theorem. You have not. Period.
The block chain creates one partition which is the longest chain. Thus it can maintain C and A [but gives up on P]. You will have to give up one of C, A, or P.