| # apebs0 = # wlar, EB_PAGE_SIZE = EB_PAGE_SIZE, LEB_SIZE = LEB_SIZE, apebs0 = apebs0, apebs1 = apebs0, apebs2 = apebs0, bflipset1 = bflipset, q1 = q, vols1 = vols, vtblpnum6 = vtblpnum, vtblpnum7 = vtblpnum0, vtblpnum8 = LEB_SIZE, vtblpnum9 = EB_PAGE_SIZE, wlar1 = wlar, abs(avols0, apebs0, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols0), ubi-cons(apebs0, vols, wlar, q, bflipset, vtblpnum, vtblpnum0), ubi-io-inv(apebs0), unique-sqns(apebs0), valid-ebatbl(apebs0, wlar, vols, vtblpnum), valid-eraseq(apebs0, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs0, vtblpnum0), valid-vtbl(apebs0, vols, wlar, vtblpnum), valid-wl(apebs0, wlar) ⊦ [ubi_recover#(apebs0; vols0, wlar0, q0, bflipset0, vtblpnum3, sqnum, vtblpnum4; vtblpnum5, err)] ( ( err = ESUCCESS → ubi-cons(apebs1, vols0, wlar0, q0, bflipset0, vtblpnum3, sqnum) ∧ vtblpnum4 = LEB_SIZE ∧ vtblpnum5 = EB_PAGE_SIZE ∧ ubi-io-inv(apebs1)) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → is-max(apebs1, vols0, wlar0, q0, bflipset0, vtblpnum3, sqnum) ∧ q0.lebrefs ⊆ q1.lebrefs ∧ vols1 ⊆ vols0 ∧ vols0⌈vols1, q1⌉) → ( err = ESUCCESS → (∃ avols. avols0 ⊆ avols ∧ ebm-cons(avols) ∧ ⟨ebm_recover#(; avols; err0)⟩ (abs(avols, apebs0, vols0, q0) ∧ ESUCCESS = err0))) ∧ (err ≠ ESUCCESS → (∀ avols. ⟨ebm_recover#(; avols1; err0)⟩ (avols = avols1 ∧ err = err0)))), VTBL_VOLID ∈ vols |
# apebs0 = # wlar, abs(avols0, apebs0, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols0), ubi-io-inv(apebs0), unique-sqns(apebs0), valid-ebatbl(apebs0, wlar, vols, vtblpnum), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs0, q), valid-global-sqn(apebs0, vtblpnum0), valid-vtbl(apebs0, vols, wlar, vtblpnum), valid-wl(apebs0, wlar), ¬ VTBL_VOLID ∈ vols ⊦ [ubi_recover#(apebs0; vols0, wlar0, q0, bflipset0, vtblpnum3, sqnum, vtblpnum4; vtblpnum5, err)] ( ( err = ESUCCESS → # wlar = # wlar0 ∧ valid-global-sqn(apebs0, sqnum) ∧ valid-wl(apebs0, wlar0) ∧ valid-eraseq(q0) ∧ valid-eraseq(wlar0, q0) ∧ valid-eraseq(apebs0, q0) ∧ ¬ VTBL_VOLID ∈ vols0 ∧ bflipset-cons(bflipset0, wlar0) ∧ valid-ebatbl(apebs0, wlar0, vols0, vtblpnum3) ∧ valid-vtbl(apebs0, vols0, wlar0, vtblpnum3) ∧ vtblpnum4 = LEB_SIZE ∧ vtblpnum5 = EB_PAGE_SIZE) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → is-max(apebs0, vols0, wlar0, q0, bflipset0, vtblpnum3, sqnum) ∧ q0.lebrefs ⊆ q.lebrefs ∧ vols ⊆ vols0 ∧ vols0⌈vols, q⌉) → ( err = ESUCCESS → (∃ avols. avols0 ⊆ avols ∧ ebm-cons(avols) ∧ ⟨ebm_recover#(; avols; err0)⟩ (abs(avols, apebs0, vols0, q0) ∧ ESUCCESS = err0))) ∧ (err ≠ ESUCCESS → (∀ avols. ⟨ebm_recover#(; avols1; err0)⟩ (avols = avols1 ∧ err = err0))))
Used simplifier rules: ⊦ ubi-cons(apebs, vols, wlar, q, bflipset, n0, n1) ↔ # apebs = # wlar ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, n1) ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs, q) ∧ ¬ VTBL_VOLID ∈ vols ∧ bflipset-cons(bflipset, wlar) ∧ valid-ebatbl(apebs, wlar, vols, n0) ∧ valid-vtbl(apebs, vols, wlar, n0); (s)