Vojta's general abc conjecture for holomorphic curves

Let $X$ be a smooth complex projective variety, let $D$ be a normal crossing divisor on $X$, let $K_X$ be a canonical divisor on $X$, and let $A$ be an ample divisor on $X$. For an analytic map $f:\mathbb C\to X$, write $N_f^{(1)}(D,r)$ for the counting function of intersections with $D$, truncated at level $1$, and $T_{L,f}(r)$ for the Nevanlinna characteristic associated with a divisor $L$.

Vojta's general abc conjecture. (a) If $f:\mathbb C\to X$ is an algebraically nondegenerate analytic map, then

$$N_f^{(1)}(D,r)\ge_{\operatorname{exc}} T_{K_X+D,f}(r)-{\rm o}(T_{A,f}(r)).$$

(b) For any $\epsilon>0$, there exists a proper Zariski-closed subset $Z$ of $X$, depending only on $X$, $D$, $A$, and $\epsilon$, such that for any analytic map $f:\mathbb C\to X$ whose image is not contained in $Z$,

$$N_f^{(1)}(D,r)\ge_{\operatorname{exc}} T_{K_X+D,f}(r)-\epsilon T_{A,f}(r).$$

This is presented as Vojta's general abc conjecture and is related to the paper's complex analogue of the conjecture. The source cites Vojta's Conjectures 15.2 and 23.4, but supplies no evidence of a resolution; the conjecture is open.