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Proof step 54 from proof inv-write (previous step)

# buf = # buf0, # apebs0 = # wlar, # apebs1 = # wlar, wlar[m0] = wl-entry(m1, used), apebs1[m0] = mkpeb(aehdr, avhdr, buf2, m, false), vols[v][vtblpnum4] = ⌜m0⌝ , apebs0[m0] = mkpeb(aehdr0, avhdr0, buf3, m2, false), buf0 = mkbuf(vtblpnum3 + n2), err = err0, n = vtblpnum3, n0 = 0, m0 < # wlar, vtblpnum4 < # vols[v], bflipset-cons(bflipset, wlar), is-aligned(vtblpnum3, EB_PAGE_SIZE), is-aligned(n2, EB_PAGE_SIZE), range=(buf, 0, buf0, 0, n0), range=(buf, n0 + n, buf0, n0 + n, # buf0 - n0 + n), ubi-io-inv(apebs0), ubi-io-inv(apebs1), ubi-io-peb-inv(mkpeb(aehdr0, avhdr0, buf3, m2, false)), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf2, m, false)), unique-sqns(apebs0), unique-sqns(apebs1), valid-ebatbl(apebs0, wlar, vols, vtblpnum1), valid-ebatbl(apebs1, wlar, vols, vtblpnum1), valid-eraseq(apebs0, q), valid-eraseq(apebs1, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs0, sqnum), valid-global-sqn(apebs1, sqnum), valid-peb(mkpeb(aehdr0, avhdr0, buf3, m2, false)), valid-peb(mkpeb(aehdr, avhdr, buf2, m, false)), valid-peb(v, vtblpnum4, mkpeb(aehdr, avhdr, buf2, m, false)), valid-peb(v, vtblpnum4, mkpeb(aehdr0, avhdr0, buf3, m2, false)), valid-vtbl(apebs0, vols, wlar, vtblpnum1), valid-vtbl(apebs1, vols, wlar, vtblpnum1), valid-wl(apebs0, wlar), valid-wl(apebs1, wlar), v ∈ vols, m ≤ LEB_SIZE, vtblpnum3 ≤ LEB_SIZE, vtblpnum3 + n2 ≤ LEB_SIZE, n1 + n2 ≤ # buf4, m ≤ vtblpnum3, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟪debug#("ubi: failed to read data from PEB " + m0.toString)⟫ ( # apebs0 = # wlar ∧ unique-sqns(apebs0) ∧ valid-global-sqn(apebs0, sqnum) ∧ valid-wl(apebs0, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs0, q) ∧ ¬ VTBL_VOLID ∈ vols ∧ bflipset-cons(bflipset, wlar) ∧ valid-ebatbl(apebs0, wlar, vols, vtblpnum1) ∧ valid-vtbl(apebs0, vols, wlar, vtblpnum1) ∧ ubi-io-inv(apebs0)), err = ESUCCESS, err1 = ESUCCESS, m0 = vtblpnum1, n2 = 0, vtblpnum1 ∈ q, m0 ∈ q, VTBL_VOLID ∈ vols

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 55:
# apebs1 = # wlar, # apebs0 = # wlar, # buf = vtblpnum3 + n2, apebs0[m0] = mkpeb(aehdr0, avhdr0, buf3, m2, false), vols[v][vtblpnum4] = ⌜m0⌝ , apebs1[m0] = mkpeb(aehdr, avhdr, buf2, m, false), wlar[m0] = wl-entry(m1, used), err1 ≠ ESUCCESS, m0 ≠ vtblpnum1, n2 ≠ 0, vtblpnum4 < # vols[v], m0 < # wlar, bflipset-cons(bflipset, wlar), is-aligned(n2, EB_PAGE_SIZE), is-aligned(vtblpnum3, EB_PAGE_SIZE), range=(buf, vtblpnum3, mkbuf(vtblpnum3 + n2), vtblpnum3, n2), ubi-io-inv(apebs1), ubi-io-inv(apebs0), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf2, m, false)), ubi-io-peb-inv(mkpeb(aehdr0, avhdr0, buf3, m2, false)), unique-sqns(apebs1), unique-sqns(apebs0), valid-ebatbl(apebs1, wlar, vols, vtblpnum1), valid-ebatbl(apebs0, wlar, vols, vtblpnum1), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs1, q), valid-eraseq(apebs0, q), valid-global-sqn(apebs1, sqnum), valid-global-sqn(apebs0, sqnum), valid-peb(v, vtblpnum4, mkpeb(aehdr0, avhdr0, buf3, m2, false)), valid-peb(v, vtblpnum4, mkpeb(aehdr, avhdr, buf2, m, false)), valid-peb(mkpeb(aehdr, avhdr, buf2, m, false)), valid-peb(mkpeb(aehdr0, avhdr0, buf3, m2, false)), valid-vtbl(apebs1, vols, wlar, vtblpnum1), valid-vtbl(apebs0, vols, wlar, vtblpnum1), valid-wl(apebs1, wlar), valid-wl(apebs0, wlar), v ∈ vols, m ≤ vtblpnum3, n1 + n2 ≤ # buf4, vtblpnum3 + n2 ≤ LEB_SIZE, vtblpnum3 ≤ LEB_SIZE, m ≤ LEB_SIZE, ⌊err0⌋ , ¬ VTBL_VOLID ∈ vols, ¬ m0 ∈ q, ¬ vtblpnum1 ∈ q ⊦ ⟪debug#("ubi: failed to read data from PEB " + m0.toString)⟫ true

Rule argument

Additional information

Used simplifier rules: ⊦ ⌊err⌋ → err ≠ ESUCCESS; (s)% ⊦ 0 ≤ m; (s)% ⊦ range=(buf, n0, buf0, n1, 0) ↔ n0 ≤ # buf ∧ n1 ≤ # buf0; (s)% ⊦ m + n - m = n; (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)% ⊦ # mkbuf(n) = n; (s)