| # apebs0 = # wlar, # apebs2 = # wlar0, q0.head = eq-entry(m4, lref), LEB_SIZE = (n0 + m1) + m0, vols0[v][m] = unmapped, wlar0[vtblpnum1] = wl-entry(m5, free), apebs2[vtblpnum1] = mkpeb(aehdr, empty, mkempbuf(LEB_SIZE), 0, false), aehdr.valid?, m < # vols0[v], vtblpnum1 < # wlar0, bflipset-cons(bflipset, wlar), bflipset-cons(bflipset, wlar0), id(apebs2, apebs0, mapped-pebs(vols0)), is-aligned(m1, EB_PAGE_SIZE), is-aligned(m0, EB_PAGE_SIZE), ubi-io-inv(apebs2[vtblpnum1, mkpeb(aehdr, avidhdr(v, m, sqnum, 0, 0), mkempbuf(m0) + subarray(buf, m2, m1) + mkempbuf(n0), m0 + m1, false)]), ubi-io-inv(apebs2[vtblpnum1, mkpeb(aehdr, avidhdr(v, m, sqnum, 0, 0), mkempbuf(LEB_SIZE), 0, false)]), ubi-io-inv(apebs0), ubi-io-inv(apebs2), unique-sqns(apebs0), unique-sqns(apebs2), valid-ebatbl(apebs0, wlar, vols0, vtblpnum2), valid-ebatbl(apebs2, wlar0, vols0, vtblpnum2), valid-eraseq(apebs0, q0), valid-eraseq(wlar, q0), valid-eraseq(q0), valid-eraseq(q1), valid-eraseq(wlar0, q1), valid-eraseq(apebs2, q1), valid-global-sqn(apebs0, sqnum), valid-global-sqn(apebs2, sqnum), valid-peb(mkpeb(aehdr, avidhdr(v, m, sqnum, 0, 0), mkempbuf(m0) + subarray(buf, m2, m1) + mkempbuf(n0), m0 + m1, false)), valid-vtbl(apebs0, vols0, wlar, vtblpnum2), valid-vtbl(apebs2, vols0, wlar0, vtblpnum2), valid-wl(apebs0, wlar), valid-wl(apebs2, wlar0), v ∈ vols0, m1 + m0 ≤ LEB_SIZE, m0 ≤ LEB_SIZE, m2 + m1 ≤ # buf, m1 ≤ LEB_SIZE, m1 + m2 ≤ # buf, m0 + m1 ≤ LEB_SIZE, q1.lebrefs ⊆ q0.lebrefs, apebs0 = apebs2 ∧ wlar = wlar0 ∧ q0 = q1 ∨ id○(apebs0, apebs2, vtblpnum1) ∧ id○(wlar, wlar0, vtblpnum1) ∧ q0 = eq-entry(vtblpnum1, lref) ' + q1 ⊦ m1 = 0, vtblpnum2 = vtblpnum1, valid-wl (apebs2[vtblpnum1, mkpeb(aehdr, avidhdr(v, m, sqnum, 0, 0), mkempbuf(m0) + subarray(buf, m2, m1) + mkempbuf(n0), m0 + m1, false)], wlar0[vtblpnum1, wl-entry(m5, used)]), vtblpnum2 ∈ q0, VTBL_VOLID ∈ vols0, vtblpnum2 ∈ q1, (valid-sqns(v, m, apebs2) ≠ ∅ → valid-sqns(v, m, apebs2).max < sqnum) ∧ aehdr.ec = m5 |
Used simplifier rules: ls-array-append-length0: # buf0 = 0 ⊦ buf + buf0 = buf;% ⊦ aechdr(m).valid?; (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ m < n → (n ≤ m ↔ false); (s)%n < # wlar ⊦ valid-wl(apebs, wlar) ∧ wlar[n] = wl-entry(m0, free) ∧ apebs[n] = mkpeb(aechdr(m1), avhdr, buf, m2, boolvar) → (m0 = m1 ↔ true); (ss)% ⊦ # mkempbuf(n) = n; (s)%⊦ valid-sqns(v, m, apebs) ≠ ∅ ∧ valid-global-sqn(apebs, n) → ¬ n ≤ valid-sqns(v, m, apebs).max; (s)%append-a: ⊦ (buf + buf0) + buf1 = buf + buf0 + buf1; from specification array-splice[buffer]% ⊦ aehdr.valid? → (m = aehdr.ec ↔ aehdr = aechdr(m)); (elim) Used terms: aehdr, m3