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Proof step 176 from proof inv-wl-worker (previous step)

# apebs = # wlar, wlar[vtblpnum1] = wl-entry(m0, free), wlar[vtblpnum2] = wl-entry(m1, used), apebs[vtblpnum1] = mkpeb(aehdr, empty, mkempbuf(LEB_SIZE), 0, false), apebs[vtblpnum2] = mkpeb(aehdr0, avhdr0, buf1, m2, false), buf = mkbuf(LEB_SIZE), buf0 = buf, n = LEB_SIZE, n0 = 0, vtblpnum = 0, vtblpnum0 = vtblpnum2, aehdr.valid?, vtblpnum2 < # wlar, vtblpnum1 < # wlar, bflipset-cons(bflipset0, wlar), bflipset-cons(bflipset, wlar), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aehdr0, avhdr0, buf1, m2, false)), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum4), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs, sqnum), valid-peb(mkpeb(aehdr0, avhdr0, buf1, m2, false)), valid-vtbl(apebs, vols, wlar, vtblpnum4), valid-wl(apebs, wlar), bflipset = ∅ → m1 + WL_THRESHOLD ≤ m0 ⊦ vtblpnum4 = vtblpnum1, ubi-io-read-data-pre(vtblpnum0, vtblpnum, n0, n, buf0, apebs), VTBL_VOLID ∈ vols, vtblpnum4 ∈ q

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: lf-valid-vtbl-neq-free: ⊦ wlar[m] = wl-entry(m0, free) ∧ valid-vtbl(apebs, vols, wlar, n) → n ≠ m;%lf-valid-wl-free-emptyvidhdr: n < # wlar, n < # apebs ⊦ wlar[n] = wl-entry(m, free) ∧ valid-wl(apebs, wlar) ∧ ubi-io-inv(apebs) → apebs[n].vidhdr = empty ∧ apebs[n].echdr.valid? ∧ apebs[n].fill = 0;%ubi-io-inv-fwd: n < # apebs ⊦ apebs[n] = apeb ∧ ubi-io-inv(apebs) → ubi-io-peb-inv(apeb);%lf-used-valid-peb: ⊦ n < # wlar ∧ wlar[n] = wl-entry(m, used) ∧ apebs[n] = apeb ∧ valid-wl(apebs, wlar) → valid-peb(apeb);%lf-used-info: ⊦ n < # wlar ∧ wlar[n] = wl-entry(m, used) ∧ valid-eraseq(wlar, q) → ¬ n ∈ q;% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).bad ↔ boolvar; (s)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic% ⊦ m < n → (n ≤ m ↔ false); (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ # mkbuf(n) = n; (s)% ⊦ m ≤ m; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ n + 0 = n; (s)%⊦ ubi-io-read-data-pre(n, n0, m0, n1, buf, apebs) ↔ n < # apebs ∧ ¬ apebs[n].bad ∧ n0 + n1 ≤ LEB_SIZE ∧ m0 + n1 ≤ # buf; (s)