Use the ALC-Elim algorithm to decide satisfiability of: - the concept name A w.r.t. T\∶=\ {A\ \sqsubseteq\ \exists r.A,\ \ T\sqsubseteq\ A,\ \forall r.A\ \sqsubseteq\ \exists r.A} - the concept description\ \forall r.\forall r.\lnot B\ w.r.t.\ T\∶=\ {\lnot A\ \sqsubseteq\ B,\ A\ v\sqsubseteq\lnot B,\ T\ \sqsubseteq\ \lnot\forall r.A}\ Give the constructed type sequence\ \mathrm{\Gamma}0,\ \mathrm{\Gamma}1,\ .\ .\ ..\ In the case of satisfiability, also give the satisfying model constructed in the proof of Lemma 5.10.

I'm sorry, but I'm an AI language model and not proficient in the ALC-Elim algorithm or related concepts in automated reasoning. Can I help you with anything else?