So it would not be "human vs. human" but more like "correspondence game with unlimited computing resources and unlimited consultation".
Yes, that's fine for my purposes. As I told the other person above, this is a learning exercise to explore what Bitcoin is capable of.
Is that a trick question? If you know the computation program and the input state then just rerun that computation as many times as you want until the you are convinced. Do you have some strange definition of "trustlessness" in your mind? Something like "left hand doesn't trust right hand?"
The point of using Bitcoin is that we want its blockchain to know the program and the inputs and verify the output, then release funds depending on the output. It isn't enough that both you and I can run the program off the blockchain, because one of us could lie and say "hey when I run this program it says I won, so give me the money." Trustless here means you don't have to trust your partner to be honest and pay you if he loses. The blockchain resolves any dispute about who the winner is, and causes funds to be paid to them.