WWII German wood-soled felt-lined black leather winter boots size 10 1/2

WWII German wooden-soled felt-lined black leather winter boots. I have never seen anything like these but I believe they are WWII German or immediate postwar East German? They are in good shape but while the sizes match the felt lining in each does not but they could have been issued this way regardless. The wooden sole is one piece and about 3/4 to 1 inch thick. They are about 13 inches tall and are a US size 10 1/2.

In pretty good shape for their age.