The only rule you can’t guess are the rules you learned from me. (And the rules I confirmed as correct.) Although you still need to verbalize the rule for the guess, since “the rule I learned from XY” is quite a broad category, and we might not think the same thing.
Unfortunately, due to my blunders of “going first” and “expecting my opponent to search for new rules with me instead of using my rule”, I cannot remove the possibility where your rule is as incomplete as mine is.
(Good thing I was skeptic enough to not reveal the entire truth. Now we both got nothing out of the [rule guessing] section of Round 1. I wouldn’t be able to forgive my own incompetence if only you got something out of it.)
These are your statements. I admit [me going first with the rule guessing because I’m impatient] is my fault, but ultimately the reality is that I currently have no way of confirming your statements.
I accepted a world where you chose not to give your rule (which may or may not be true; I have no way of knowing whether you did it because you forgot or not), and then I proposed we cooperate together. If you truly believe that I did something wrong, then I apologize for my actions.
But to be real here: I’m currently on the fence on the matter of cooperation, because of the reasons I stated in the paragraph above.
Still, I believe we can amend our relationship.
As an apology, let me state the rule given to me by correctly guessing how many times I won in the first round.
The wording is different, but effectively: “There are no rule-effects applied on either white or black borders/outlines that a number may have. These borders/outlines are purely cosmetic and used for legibility purposes.”