Not mud, but the problem is similar: No grip.
I carry a 20 meter high-tensile rope. By attaching to a tree, and inserting a stick to twist, I can get enough
pull to help me drag the bike out of "tight spots". Ropes used by climbers is what I use; light weight, "soft" and
easy to work with when the fingers are cold, and very strong.
Yeah, yeah, I'm not proud of the judgement that landed me here, but that's the issue of another thread.