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Proof step 110 from proof delta-wear-leveling (previous step)

# apebs = # wlar, apebs[vtblpnum2] = mkpeb(aehdr, avhdr0, buf1, m2, false), wlar[vtblpnum1] = wl-entry(m0, free), wlar[vtblpnum2] = wl-entry(m1, used), vtblpnum2 < # wlar, vtblpnum1 < # wlar, bflipset-cons(bflipset0, wlar), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aehdr, avhdr0, buf1, m2, false)), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, n2), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs, n1), valid-vtbl(apebs, vols, wlar, n2), m1 + WL_THRESHOLD ≤ m0, vtblpnum2 < # wlar → (wlar[vtblpnum2].status = erroneous ↔ apebs[vtblpnum2].bad) ∧ (wlar[vtblpnum2].status = free → apebs[vtblpnum2].vidhdr = empty) ∧ (wlar[vtblpnum2].status ≠ erroneous ∧ wlar[vtblpnum2].status ≠ erasing → apebs[vtblpnum2].echdr = aechdr(wlar[vtblpnum2].ec)) ∧ (wlar[vtblpnum2].status = used → (∃ v, m. valid-peb(v, m, apebs[vtblpnum2]) ∧ apebs[vtblpnum2].vidhdr.sqn = valid-sqns(v, m, apebs).max)) ⊦ VTBL_VOLID ∈ vols, avhdr0.vol ∈ vols ∧ avhdr0.leb < # vols[avhdr0.vol], avhdr0.vol = VTBL_VOLID ∧ avhdr0.leb = VTBL_LNUM

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 111:
# apebs = # wlar, avhdr0.sqn = valid-sqns(v, m, apebs).max, wlar[vtblpnum2] = wl-entry(m1, used), wlar[vtblpnum1] = wl-entry(m0, free), apebs[vtblpnum2] = mkpeb(aechdr(m1), avhdr0, buf1, m2, false), vtblpnum1 < # wlar, vtblpnum2 < # wlar, bflipset-cons(bflipset0, wlar), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aechdr(m1), avhdr0, buf1, m2, false)), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, n2), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs, n1), valid-peb(v, m, mkpeb(aechdr(m1), avhdr0, buf1, m2, false)), valid-vtbl(apebs, vols, wlar, n2), m1 + WL_THRESHOLD ≤ m0 ⊦ VTBL_VOLID ∈ vols, v = VTBL_VOLID ∧ m = VTBL_LNUM, v ∈ vols ∧ m < # vols[v]

Rule argument

Additional information

Used simplifier rules: ubi-io-inv-fwd: n < # apebs ⊦ apebs[n] = apeb ∧ ubi-io-inv(apebs) → ubi-io-peb-inv(apeb); (forward) from specification ubi-asm% ⊦ m < n → (n ≤ m ↔ false); (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)%⊦ valid-peb(v, m, mkpeb(aehdr, avhdr, buf, m0, boolvar)) → avhdr.leb = m; (s)%⊦ valid-peb(v, m, mkpeb(aehdr, avhdr, buf, m0, boolvar)) → avhdr.vol = v; (s)% ⊦ used ≠ free; (s)% ⊦ wl-entry(m, stat).ec = m; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).echdr = aehdr; (s)% ⊦ used ≠ erasing; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).vidhdr = avhdr; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).bad ↔ boolvar; (s)% ⊦ used ≠ erroneous; (s)% ⊦ wl-entry(m, stat).status = stat; (s)