F-polynomial constant-term conjecture

Fix a positive integer $n$, an $n$-regular tree $\mathbb{T}_n$, a vertex $t_0\mathbin{\in}\mathbb{T}_n$, and a skew-symmetrizable integer matrix $B=(b_{i,j})$. For each $t\in\mathbb{T}_n$ and $\ell=1,\dots,n$, let $F_{\ell;t}^{B;t_0}\in\mathbb{Z}[u_1,\dots,u_n]$ be the associated $F$-polynomial. F-polynomial constant-term conjecture. Each polynomial $F_{\ell;t}^{B;t_0}$ has constant term $1$. This conjecture is one of the conjectures on $F$-polynomials for cluster algebras; the supplied text does not state whether it has been resolved.