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We have (almost certainly) found his military unit:
First I have to go back a bit; already since 1941 Germany had occupied Lviv (Lemberg, chessfans know this place well otherwise time to look it up) as part of the 'Generalplan Ost' (GPO). By now the large Jewish community of the city was already deported to the KZs (concentration camps) or had been murdered nearby.
Initiated by Polish resistant forces (see Operation Tempest) at the end of June 1944 the 'Lwów [polish notation] uprising' began. Parallel Soviet troops approaching from the east as part of the 'Lvov-Sandomierz Strategic Offensive Operation'.
Aus deutscher Sicht
https://de.wikipedia.org/wiki/Lwiw-...
From a Russian perspective
https://translate.google.com/transl...
So Lviv quickly gets liberated and roughed up German units retreat through a small corridor to the south heading towards Stryj (village, ~70km) and from there (at large evading the Red Army) westward to Drohobych (city, ~30km).
But hey Germans ... why not split at Stryj and heading north-east - continuing the GPO?! There we still could win the war, no. The Soviets totally caught by surprise had not thought of such 'tactics' when 600 enemy soldiers tried to isolate the outnumbered and better equipped Red Army fighters on a bridgehead near Zalisky (village, ~35km).
'.. Die Division meldete am 22. Juli noch eine Grabenstärke von 600 Mann. Nach Bildung und Verteidigung eines Brückenkopfs bei Zalesce sowie erfolgreicher Abwehrkämpfe bei Ruda und Mlyniska gelang ein nächtliches Übersetzen ohne Verluste über den Dnjestr. ..'
from
http://www.lexikon-der-wehrmacht.de...
So it seems Josef was (at least in the last days of his life) part of the '359. Infanterie-Division', fleeing the re-occupation of Lviv, lead by a madman commander.
The story sounds too good to be true and indeed there is a snag. Not many losses are reported in this 'suicide' mission after leaving Lviv.
A fist generation German of russian descendant is fighting for Nazi Germany on Ukrainian soil against his parents' imperialist compatriots - two years after achieving his biggest chess success in Berlin at 30-42 years old.
That's some pretty cynical dark tale for a movie script.
Treat the above with caution and without guarantee - all knitted with a hot needle.
Cheers