| # apebs1 = # wlar, # apebs = # wlar, # wlar0 = # wlar, q1.lebrefs = q.lebrefs, apebs[vtblpnum2] = mkpeb(aehdr1, avhdr, buf, m3, false), apebs[vtblpnum1] = mkpeb(aehdr, empty, mkempbuf(LEB_SIZE), 0, false), wlar[vtblpnum2] = wl-entry(m1, used), wlar[vtblpnum1] = wl-entry(m0, free), str0 = "ubi: wear-leveling of PEB " + vtblpnum2.toString + " to PEB " + vtblpnum1.toString + " failed", aehdr.valid?, vtblpnum2 < # wlar, vtblpnum1 < # wlar, bflipset-cons(bflipset1, wlar0), bflipset-cons(bflipset, wlar), bflipset-cons(bflipset0, wlar), id(apebs1, apebs, mapped-pebs(vols)), id○(apebs1, apebs, vtblpnum1), is-aligned(LEB_SIZE, EB_PAGE_SIZE), ubi-io-inv(apebs1), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aehdr1, avhdr, buf, m3, false)), unique-sqns(apebs1), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum4), valid-ebatbl(apebs1, wlar0, vols, vtblpnum), valid-eraseq(q1), valid-eraseq(wlar0, q1), valid-eraseq(apebs1, q1), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs1, sqnum0), valid-global-sqn(apebs, sqnum), valid-peb(mkpeb(aehdr1, avhdr, buf, m3, false)), valid-vtbl(apebs, vols, wlar, vtblpnum4), valid-vtbl(apebs1, vols, wlar0, vtblpnum), valid-wl(apebs1, wlar0), valid-wl(apebs, wlar), ⌊err⌋ , bflipset = ∅ → m1 + WL_THRESHOLD ≤ m0, avhdr.vol ∈ vols ∧ avhdr.leb < # vols[avhdr.vol] ∨ avhdr.vol = VTBL_VOLID ∧ avhdr.leb = VTBL_LNUM ⊦ ∀ . true → ⟪if err = ESUCCESS then {ubi_erase_worker_helper#(vtblpnum2; wlar0, apebs1; err); if err = ESUCCESS then q1 := q1.butlast}⟫ ( # apebs1 = # wlar0 ∧ unique-sqns(apebs1) ∧ valid-global-sqn(apebs1, sqnum0) ∧ valid-wl(apebs1, wlar0) ∧ valid-eraseq(q1) ∧ valid-eraseq(wlar0, q1) ∧ valid-eraseq(apebs1, q1) ∧ bflipset-cons(bflipset1, wlar0) ∧ valid-ebatbl(apebs1, wlar0, vols, vtblpnum) ∧ valid-vtbl(apebs1, vols, wlar0, vtblpnum) ∧ ubi-io-inv(apebs1) ∧ ( id(apebs1, apebs, mapped-pebs(vols)) ∧ q1.lebrefs ⊆ q.lebrefs ++ (VTBL_VOLID × VTBL_LNUM) ∨ (∃ v, m, n. v ∈ vols ∧ m < # vols[v] ∧ vols[v][m] ≠ unmapped ∧ vols = vols[v, vols[v][m, ⌜n⌝ ]] ∧ id(apebs1, apebs, mapped-pebs(vols) -- vols[v][m].pnum) ∧ apebs1[n].data = apebs[vols[v][m].pnum].data ∧ apebs1[n].fill ≤ apebs[vols[v][m].pnum].fill ∧ q1.lebrefs ⊆ q.lebrefs ++ (v × m)))), vtblpnum4 = vtblpnum1, vtblpnum ∈ q1, vtblpnum2 ∈ q, vtblpnum4 ∈ q, VTBL_VOLID ∈ vols |
# apebs1 = # wlar, # apebs = # wlar, # wlar0 = # wlar, q1.lebrefs = q.lebrefs, apebs[vtblpnum2] = mkpeb(aehdr1, avhdr, buf, m3, false), apebs[vtblpnum1] = mkpeb(aehdr, empty, mkempbuf(LEB_SIZE), 0, false), wlar[vtblpnum2] = wl-entry(m1, used), wlar[vtblpnum1] = wl-entry(m0, free), vtblpnum4 ≠ vtblpnum1, aehdr.valid?, vtblpnum2 < # wlar, vtblpnum1 < # wlar, bflipset-cons(bflipset1, wlar0), bflipset-cons(bflipset, wlar), bflipset-cons(bflipset0, wlar), id(apebs1, apebs, mapped-pebs(vols)), id○(apebs1, apebs, vtblpnum1), is-aligned(LEB_SIZE, EB_PAGE_SIZE), ubi-io-inv(apebs1), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aehdr1, avhdr, buf, m3, false)), unique-sqns(apebs1), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum4), valid-ebatbl(apebs1, wlar0, vols, vtblpnum), valid-eraseq(q1), valid-eraseq(wlar0, q1), valid-eraseq(apebs1, q1), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs1, sqnum0), valid-global-sqn(apebs, sqnum), valid-peb(mkpeb(aehdr1, avhdr, buf, m3, false)), valid-vtbl(apebs, vols, wlar, vtblpnum4), valid-vtbl(apebs1, vols, wlar0, vtblpnum), valid-wl(apebs1, wlar0), valid-wl(apebs, wlar), ⌊err⌋ , ¬ vtblpnum ∈ q1, ¬ vtblpnum2 ∈ q, ¬ vtblpnum4 ∈ q, ¬ VTBL_VOLID ∈ vols, bflipset = ∅ → m1 + WL_THRESHOLD ≤ m0, avhdr.vol ∈ vols ∧ avhdr.leb < # vols[avhdr.vol] ∨ avhdr.vol = VTBL_VOLID ∧ avhdr.leb = VTBL_LNUM ⊦ ⟪skip⟫ true
Used simplifier rules: ⊦ s0 ⊆ s0 ++ lref; (s)% ⊦ id(apebs1, apebs0, ns) → id(apebs1, apebs0, ns -- n); (s)% ⊦ ⌊err⌋ → err ≠ ESUCCESS; (s)