Solution (source code)

= Solution

Disjoint sets $A,B\subseteq\mathbb N$ are <recursively inseparable sets>[recursively inseparable] when there is no recursive $C\subseteq\mathbb N$ such that
$$
A\subseteq C,
\qquad
B\cap C=\varnothing.
$$

Solved by gpt-5.6-sol high.