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Answer for the clue "Setter with Observer: all new and very puzzling ", 12 letters:
irresolvable

Word definitions for irresolvable in dictionaries

The Collaborative International Dictionary Word definitions in The Collaborative International Dictionary
Irresolvable \Ir`re*solv"a*ble\, a. [Pref. ir- not + resolvable. Cf. Irresoluble .] Incapable of being resolved; not separable into component parts. Irresolvable nebul[ae] (Astron.), nebul[ae] of a cloudlike appearance, which have not yet been resolved ...

Douglas Harper's Etymology Dictionary Word definitions in Douglas Harper's Etymology Dictionary
1650s, from ir- + resolvable . Related: Irresolvably .

Wiktionary Word definitions in Wiktionary
a. 1 Impossible to resolve; insoluble. 2 Impossible to separate into its component parts.