Definition of irresoluble in English:
 irresoluble
adjective ˌɪrɪˈzɒljʊb(ə)l
Unable to be resolved.
 there is no irresoluble conflict between science and religion
 Example sentencesExamples
-  Thus his doubts are unreal, not simply because they are logically irresoluble doubts, but because they amount to the rejection of the whole conceptual scheme.
 -  All folk poetry has an irresoluble ambiguity based in its use of signed objects, plants, and animals.
 
Origin
  
Mid 17th century: from Latin irresolubilis 'indissoluble'.