The i-minimal open-core conjecture

Let $\mathbb K$ be a DC structure, and let its open core be the structure whose definable sets are generated by the open definable subsets of $\mathbb K^n$. The i-minimal open-core conjecture. The open core of $\mathbb K$ is i-minimal. The source gives no resolution of this conjecture and only refers to further work on i-minimal structures outside the real field.