irresoluble

/ˌɪrɪˈzɑːljəbəl/
adjective
  1. Impossible to solve, fix, or resolve.
    • Scientists faced an irresoluble problem with the old equipment and had to design a new experiment.
    • The mystery of the missing painting remained irresoluble for decades.
    • The conflict between the two families seemed irresoluble after years of fighting.
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