Shokurov's conjecture on accumulation of minimal discrepancies

Let $n$ be a natural number, and consider the minimal discrepancies of $n$-dimensional log-terminal singularities, where minimal discrepancy is taken over exceptional divisors in resolutions of singularities.

Shokurov's conjecture. For every natural $n$ minimal discrepancies of $n$-dimensional log-terminal singularities can accumulate only from above.

The conjecture concerns the possible limiting behavior of minimal discrepancies in fixed dimension. The source paper proves the analogous accumulation statement for toric singularities, but the general log-terminal case is not resolved here.