insoluble

Adjective
  1. (of a substance) incapable of being dissolved (synset 302273647)
    similar to: non-water-soluble, water-insoluble - not soluble in water
    same as: indissoluble
  2. Admitting of no solution or explanation (synset 302274356)
    "an insoluble doubt"
    also: incomprehensible, inexplicable - incapable of being explained or accounted for
    similar to: insolvable, unresolvable, unsoluble, unsolvable - not easily solved
  3. Without hope of solution (synset 301233601)
    "an insoluble problem"
    similar to: hopeless - without hope because there seems to be no possibility of comfort or success

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