/// An antichain is a data structure that stores pairs of (s, T) \subset S x 2^S, where `S` is a set of elements that have a total order <.
/// The antichain maintains the invariant that for any two pairs (s1, T1) and (s2, T2) in the antichain, neither s1 < s2 nor s2 < s1 holds, i.e.,
"The pair (1, {{5, 6}}) should be inserted since it is incomparable to existing pairs in {:?}.",