C1-cofiniteness and finite-length conjecture for vertex operator algebras

Let $V$ be a vertex operator algebra such that all irreducible ordinary $V$-modules are $C_1$-cofinite, and let $W$ be a generalized $V$-module. C1-cofiniteness and finite-length conjecture. The module $W$ is lower bounded and $C_1$-cofinite if and only if $W$ is a finite-length generalized module.

This conjecture proposes an equivalence between a finiteness condition defined using $C_1$-cofiniteness and finite composition length for generalized modules. The supplied text gives no resolution status.