They'd pay themselves for computation on the network? You can't see a game theoretical problem with this? If simply encrencrypting the output is less work than

They'd pay themselves for computation on the network? You can't see a game theoretical problem with this? If simply encrencrypting the output is less work than running the computation on the ciphertext input, they'll do that and publish the encrypted output as proof. This would mean alliners would up bid for the computation because they know that if their computation becomes the limiting factor in block creation they can beat everyone else to it. There's also the problem of benefitting from mining. Mining has to only be useful in that it is used to construct blocks, if it is useful for any other purpose whatsoever, whoever benefits from that purpose has an opportunity to mine at lower marginal cost than other miners.