| # apebs0 = # wlar, LEB_SIZE = (n0 + n2) + vtblpnum5, apebs0[n4] = mkpeb(aehdr, avhdr, buf2, m0, false), wlar[n4] = wl-entry(m1, used), avols2[v][vtblpnum3] = mapped(buf2, m), vols[v][vtblpnum3] = ⌜n4⌝ , avols2[v][vtblpnum3].mapped?, avhdr.valid?, aehdr.valid?, vtblpnum3 < # avols2[v], n4 < # wlar, vtblpnum3 < # vols[v], n2 < n5, abs(avols2, apebs0, vols, q), abs (avols2[v, avols2[v][vtblpnum3, mapped(subarray(buf2, 0, vtblpnum5) + subarray(buf0, n3, n2) + mkempbuf(n0), vtblpnum5 + n2)]], apebs0[n4, mkpeb(aehdr, avhdr, subarray(buf2, 0, vtblpnum5) + subarray(buf0, n3, n2) + mkempbuf(n0), vtblpnum5 + n2, false)], vols, q), abs(avols2[v, avols2[v][vtblpnum3, mapped(subarray(buf2, 0, vtblpnum5) + subarray(buf0, n3, n2) + mkempbuf(n0), vtblpnum5 + n2)]], apebs1, vols0, q0), bflipset-cons(bflipset, wlar), ebm-cons(avols2), ebm-cons(avols2[v, avols2[v][vtblpnum3, mapped(subarray(buf2, 0, vtblpnum5) + subarray(buf0, n3, n2) + mkempbuf(n0), vtblpnum5 + n2)]]), is-aligned(vtblpnum5, EB_PAGE_SIZE), is-aligned(n2, EB_PAGE_SIZE), is-aligned(n5, EB_PAGE_SIZE), ubi-io-inv(apebs0), ubi-io-inv(apebs0[n4, mkpeb(aehdr, avhdr, subarray(buf2, 0, vtblpnum5) + subarray(buf0, n3, n2) + mkempbuf(n0), vtblpnum5 + n2, false)]), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf2, m0, false)), unique-sqns(apebs0[n4, mkpeb(aehdr, avhdr, subarray(buf2, 0, vtblpnum5) + subarray(buf0, n3, n2) + mkempbuf(n0), vtblpnum5 + n2, false)]), unique-sqns(apebs0), valid-ebatbl (apebs0[n4, mkpeb(aehdr, avhdr, subarray(buf2, 0, vtblpnum5) + subarray(buf0, n3, n2) + mkempbuf(n0), vtblpnum5 + n2, false)], wlar, vols, vtblpnum4), valid-ebatbl(apebs0, wlar, vols, vtblpnum4), valid-eraseq(apebs0[n4, mkpeb(aehdr, avhdr, subarray(buf2, 0, vtblpnum5) + subarray(buf0, n3, n2) + mkempbuf(n0), vtblpnum5 + n2, false)], q), valid-eraseq(apebs0, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs0[n4, mkpeb(aehdr, avhdr, subarray(buf2, 0, vtblpnum5) + subarray(buf0, n3, n2) + mkempbuf(n0), vtblpnum5 + n2, false)], sqnum), valid-global-sqn(apebs0, sqnum), valid-vtbl(apebs0, vols, wlar, vtblpnum4), valid-wl(apebs0[n4, mkpeb(aehdr, avhdr, subarray(buf2, 0, vtblpnum5) + subarray(buf0, n3, n2) + mkempbuf(n0), vtblpnum5 + n2, false)], wlar), valid-wl(apebs0, wlar), v ∈ avols2, v ∈ vols, 0 + vtblpnum5 ≤ # avols2[v][vtblpnum3].data, vtblpnum5 + n5 ≤ LEB_SIZE, vtblpnum5 ≤ LEB_SIZE, m0 ≤ LEB_SIZE, m ≤ LEB_SIZE, n2 + vtblpnum5 ≤ LEB_SIZE, m0 ≤ vtblpnum5, m ≤ vtblpnum5, n5 + n3 ≤ # buf0, n3 + n2 ≤ # buf0, n3 + n5 ≤ # buf0, LEB_SIZE - vtblpnum5 ≥ n2, LEB_SIZE ≥ vtblpnum5, ⌊err2⌋ , ⌊err3⌋ ⊦ n2 = 0, vtblpnum4 = n4, abs (avols2 [v, avols2[v] [vtblpnum3, mapped(subarray(avols2[v][vtblpnum3].data, 0, vtblpnum5) + subarray(buf0, n3, n2) + mkempbuf(LEB_SIZE - vtblpnum5 - n2), vtblpnum5 + n2) ] ], apebs1, vols0, q0), abs(avols2, apebs1, vols0, q0), VTBL_VOLID ∈ vols |
# apebs0 = # wlar, LEB_SIZE = (n0 + n2) + vtblpnum5, apebs0[n4] = mkpeb(aehdr, avhdr, buf2, m0, false), wlar[n4] = wl-entry(m1, used), avols2[v][vtblpnum3] = mapped(buf2, m), vols[v][vtblpnum3] = ⌜n4⌝ , avhdr.valid?, aehdr.valid?, vtblpnum3 < # avols2[v], n4 < # wlar, vtblpnum3 < # vols[v], n2 < n5, abs(avols2, apebs0, vols, q), abs (avols2[v, avols2[v][vtblpnum3, mapped(subarray(buf2, 0, vtblpnum5) + subarray(buf0, n3, n2) + mkempbuf(n0), vtblpnum5 + n2)]], apebs0[n4, mkpeb(aehdr, avhdr, subarray(buf2, 0, vtblpnum5) + subarray(buf0, n3, n2) + mkempbuf(n0), vtblpnum5 + n2, false)], vols, q), abs(avols2[v, avols2[v][vtblpnum3, mapped(subarray(buf2, 0, vtblpnum5) + subarray(buf0, n3, n2) + mkempbuf(n0), vtblpnum5 + n2)]], apebs1, vols0, q0), bflipset-cons(bflipset, wlar), ebm-cons(avols2), ebm-cons(avols2[v, avols2[v][vtblpnum3, mapped(subarray(buf2, 0, vtblpnum5) + subarray(buf0, n3, n2) + mkempbuf(n0), vtblpnum5 + n2)]]), is-aligned(vtblpnum5, EB_PAGE_SIZE), is-aligned(n2, EB_PAGE_SIZE), is-aligned(n5, EB_PAGE_SIZE), ubi-io-inv(apebs0), ubi-io-inv(apebs0[n4, mkpeb(aehdr, avhdr, subarray(buf2, 0, vtblpnum5) + subarray(buf0, n3, n2) + mkempbuf(n0), vtblpnum5 + n2, false)]), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf2, m0, false)), unique-sqns(apebs0[n4, mkpeb(aehdr, avhdr, subarray(buf2, 0, vtblpnum5) + subarray(buf0, n3, n2) + mkempbuf(n0), vtblpnum5 + n2, false)]), unique-sqns(apebs0), valid-ebatbl (apebs0[n4, mkpeb(aehdr, avhdr, subarray(buf2, 0, vtblpnum5) + subarray(buf0, n3, n2) + mkempbuf(n0), vtblpnum5 + n2, false)], wlar, vols, vtblpnum4), valid-ebatbl(apebs0, wlar, vols, vtblpnum4), valid-eraseq(apebs0[n4, mkpeb(aehdr, avhdr, subarray(buf2, 0, vtblpnum5) + subarray(buf0, n3, n2) + mkempbuf(n0), vtblpnum5 + n2, false)], q), valid-eraseq(apebs0, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs0[n4, mkpeb(aehdr, avhdr, subarray(buf2, 0, vtblpnum5) + subarray(buf0, n3, n2) + mkempbuf(n0), vtblpnum5 + n2, false)], sqnum), valid-global-sqn(apebs0, sqnum), valid-vtbl(apebs0, vols, wlar, vtblpnum4), valid-wl(apebs0[n4, mkpeb(aehdr, avhdr, subarray(buf2, 0, vtblpnum5) + subarray(buf0, n3, n2) + mkempbuf(n0), vtblpnum5 + n2, false)], wlar), valid-wl(apebs0, wlar), v ∈ avols2, v ∈ vols, vtblpnum5 + n5 ≤ LEB_SIZE, m0 ≤ vtblpnum5, m ≤ vtblpnum5, n5 + n3 ≤ # buf0, n3 + n2 ≤ # buf0, n3 + n5 ≤ # buf0, n2 + vtblpnum5 ≤ LEB_SIZE, m0 ≤ LEB_SIZE, m ≤ LEB_SIZE, vtblpnum5 ≤ LEB_SIZE, ⌊err2⌋ , ⌊err3⌋ ⊦ n2 = 0, vtblpnum4 = n4, abs(avols2, apebs1, vols0, q0), abs (avols2 [v, avols2[v][vtblpnum3, mapped(subarray(buf2, 0, vtblpnum5) + subarray(buf0, n3, n2) + mkempbuf(LEB_SIZE - vtblpnum5 - n2), vtblpnum5 + n2)] ], apebs1, vols0, q0), VTBL_VOLID ∈ vols
Used simplifier rules: append-a: ⊦ (buf + buf0) + buf1 = buf + buf0 + buf1; from specification array-splice[buffer]% ⊦ mapped(buf, m).mapped?; (s)%⊦ v ∈ avols ∧ m < # avols[v] ∧ avols[v][m] = mapped(buf, n) ∧ ebm-cons(avols) → # buf = LEB_SIZE; (s)% ⊦ mapped(buf, m).data = buf; (s)%let: ⊦ n ≤ n0 ∧ n0 ≤ n1 → n ≤ n1; (forward) from specification nat%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ n + 0 = n; (s)%n0 ≤ n ⊦ m ≤ n - n0 ↔ m + n0 ≤ n; (s)% ⊦ m ≤ n → (n < m ↔ false); (s)% ⊦ m ≤ n ↔ ¬ n < m; (ss)% ⊦ n ≥ m ↔ m ≤ n; (s)