Definition clause_length (cl : clause) : Z :=
  match cl with
  | PureClause gamma delta _ _ => Zlength gamma + Zlength delta
  | PosSpaceClause gamma delta sigma =>
      Zlength gamma + Zlength delta + Zlength sigma
  | NegSpaceClause gamma sigma delta =>
      Zlength gamma + Zlength sigma + Zlength delta
  end%Z.Definition compare_clause_length (cl1 cl2 : clause) :=
   Zcompare (clause_length cl1) (clause_length cl2).Definition compare_clause'1 (cl1 cl2 : clause) : comparison :=
  match compare_clause_length cl1 cl2 with
  | Eq => compare_clause cl1 cl2
  | c => c
  end.

Lemma clause_cspec'1: CompSpec' compare_clause'1.