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The problem is that you are looping over the list TheSubset, but your for loop is modifying TheSubset, making it larger, so the loop never ends. If you use instead for subset in copy(TheSubsets):, I think it will work.
Another option, in case you care about sets rather than lists:
sage: S = Set([1,2,3])
sage: S.subsets()
Subsets of {1, 2, 3}
sage: list(S.subsets())
[{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}]
