I have distilled another problem which definitely has nothing to do with
atomization:

lemma "\<And>(x\<Colon>'a::type) m n.
       P x \<Longrightarrow> Suc (2 * m) = 2 * n \<Longrightarrow> False"
  apply (atomize (full))
  apply presburger
  done

lemma "\<And>(x\<Colon>'a::type) m n.
       Q x \<Longrightarrow> P x \<Longrightarrow> Suc (2 * m) = 2 * n
\<Longrightarrow> False"
  apply (atomize (full))
  apply presburger?
  oops

Additional premises considered harmful?

        Florian

-- 

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