Gokei Genmyou is Gokyo Seimyo
If you have the World Weiqi Masterpieces of Life and Death edition of Gokyo Shumyo, please look at problem 1 at page 279 and you will find it is a transposed version of Problem 1: Atari in Vol 1 of Fujisawa Tesuji Dictionary where it is referenced as being from Gokei Genmyou.
I have also double checked by looking up the problem in a simplified chinese translation of the book and the reference points to 棋经众妙 which is the chinese characters for Gokyo Shumyo.
John F. Just to confirm this, Gokei Genmyou is a straightforward mistake, not an alternative.
At first I thought it was just the transposed problem from Gokyo Shumyo, but now I found this to be the same as Gokyo Seimyo Volume 3 Problem 133. So this must mean that Gokei Genmyou is referring to Gokyo Seimyo.