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Proof step 139 from proof refine-write-data (previous step)

2 * EB_PAGE_SIZE + m2 = (avhdr = empty ⊃ EB_PAGE_SIZE;m2 + 2 * EB_PAGE_SIZE), LEB_SIZE = (n2 + n3) + m1, apebs[m3] = mkpeb(aehdr, avhdr, subarray(buf1, 2 * EB_PAGE_SIZE, LEB_SIZE), m2, false), pebs[m3] = mkpeb(buf1, 2 * EB_PAGE_SIZE + m2, false), avhdr.valid?, aehdr.valid?, n3 < n, m3 < # apebs, m3 < # pebs, n1 < n2, abs(pebs, apebs), abs-echdr(subarray(buf1, 0, EB_PAGE_SIZE), aehdr), abs-vidhdr(subarray(buf1, EB_PAGE_SIZE, EB_PAGE_SIZE), avhdr), is-aligned(m1, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), is-aligned(n3, EB_PAGE_SIZE), ubi-io-inv(apebs), n3 + m1 ≤ LEB_SIZE, m1 + n3 ≤ LEB_SIZE, m1 ≤ LEB_SIZE, m2 ≤ LEB_SIZE, m1 + n ≤ LEB_SIZE, n0 + n ≤ # buf, (m1 + 2 * EB_PAGE_SIZE) + n3 ≤ PEB_SIZE, m2 ≤ m1, n0 + n3 ≤ # buf, ⌊err1⌋ , m3 < # pebs → # pebs[m3].data = PEB_SIZE ∧ ( ¬ pebs[m3].bad → pebs[m3].fill ≤ PEB_SIZE ∧ is-aligned(pebs[m3].fill, EB_PAGE_SIZE) ∧ range=(pebs[m3].data, pebs[m3].fill, emptypeb, pebs[m3].fill, PEB_SIZE - pebs[m3].fill)) ⊦ buf1[2 * EB_PAGE_SIZE + (m1 + n3) + n1] = empty, aehdr = empty, n3 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 140:
# buf1 = PEB_SIZE, 2 * EB_PAGE_SIZE + m2 = (avhdr = empty ⊃ EB_PAGE_SIZE;m2 + 2 * EB_PAGE_SIZE), LEB_SIZE = (n2 + n3) + m1, apebs[m3] = mkpeb(aehdr, avhdr, subarray(buf1, 2 * EB_PAGE_SIZE, LEB_SIZE), m2, false), pebs[m3] = mkpeb(buf1, 2 * EB_PAGE_SIZE + m2, false), avhdr.valid?, aehdr.valid?, n3 < n, m3 < # apebs, m3 < # pebs, n1 < n2, abs(pebs, apebs), abs-echdr(subarray(buf1, 0, EB_PAGE_SIZE), aehdr), abs-vidhdr(subarray(buf1, EB_PAGE_SIZE, EB_PAGE_SIZE), avhdr), is-aligned(m1, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), is-aligned(n3, EB_PAGE_SIZE), is-aligned(m2, EB_PAGE_SIZE), range=(buf1, 2 * EB_PAGE_SIZE + m2, emptypeb, 2 * EB_PAGE_SIZE + m2, PEB_SIZE - 2 * EB_PAGE_SIZE + m2), ubi-io-inv(apebs), n3 + m1 ≤ LEB_SIZE, m1 + n3 ≤ LEB_SIZE, m1 ≤ LEB_SIZE, m2 ≤ LEB_SIZE, m1 + n ≤ LEB_SIZE, n0 + n ≤ # buf, (m1 + 2 * EB_PAGE_SIZE) + n3 ≤ PEB_SIZE, m2 ≤ m1, n0 + n3 ≤ # buf, 2 * EB_PAGE_SIZE + m2 ≤ PEB_SIZE, ⌊err1⌋ ⊦ buf1[2 * EB_PAGE_SIZE + (m1 + n3) + n1] = empty, aehdr = empty, n3 = 0

Rule argument

Additional information

Used simplifier rules: c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%m ≠ 0, is-aligned(n1, m) ⊦ is-aligned(n0 + n1, m) ↔ is-aligned(n0, m); (s)%mult-c: ⊦ m * n = n * m; from specification nat-mult%mult-a: ⊦ m0 * m * n = (m0 * m) * n; from specification nat-mult%n ≠ 0 ⊦ is-aligned(n0 * n, n); (s)% ⊦ EB_PAGE_SIZE ≠ 0; (s)% ⊦ mkpeb(buf, m, boolvar).fill = m; (s)% ⊦ mkpeb(buf, m, boolvar).bad ↔ boolvar; (s)% ⊦ mkpeb(buf, m, boolvar).data = buf; (s)