I've never had this problem. I downloaded your save to see if I would have the problem and to see what the problem looks like if it did happen to me.
It did happen to me with your save. It was horrible.
I was checking some things and noticed that the turns left for the ships were decreasing, so I let things continue. After about 6 minutes 15 seconds, most of the Torian ships had reached zero turns left and had stopped moving. There was a probe in the entrance to the subspace stream with turns left, but it wasn't moving. I tried using some console commands to delete it but failed. Also, the turn was still stuck without the Torian ships moving.
I loaded your save again and used console commands to delete all the Torian ships that were using the stream. When I went to the next turn, the game continued without a problem for 6 or 8 turns before I stopped playing. I restarted, loaded your save, deleted the Torian ships and saved the game as Test Updated. I restarted, loaded the updated save and continued without a problem for several turns.
If you want to try to continue, that save is available here. I have no idea how the game will change with the Torian ships deleted. I also have now idea if the problem will happen again.
I hope the Devs can use your save to find the problem so it can be fixed.