This was one of the significant plot holes. Dubauer isn't capable of feeding himself, so presumably would have needed a lot more attention during their trek than was depicted.
From Wikipedia: ❝Thomas Fowler (1869) states the paradox as follows: "Epimenides the Cretan says, 'all the Cretans are liars,' but Epimenides is himself a Cretan; therefore he is himself a liar.❞
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