Golf the Subset-Sum Problem
Brachylog (2), 9 characters

{⊇.+0∧}ᵘb


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{⊇.+0∧}ᵘb
 ⊇           subset
   +0        that sums to 0
  .  ∧       output the subset
{     }ᵘ     take all unique solutions
        b    except the first (which is the empty solution)