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Proof step 83 from proof refine-write-data (previous step)

apebs[m3] = mkpeb(aehdr, avhdr, buf0, m2, false), pebs[m3] = mkpeb(buf1, 2 * EB_PAGE_SIZE + m2, false), err = err0, m = m1 + 2 * EB_PAGE_SIZE, m0 = m3, n0 = n, n1 = n2, aehdr.valid?, avhdr.valid?, m3 < # apebs, m3 < # pebs, abs(pebs, apebs), abs-peb(mkpeb(buf1, 2 * EB_PAGE_SIZE + m2, false), mkpeb(aehdr, avhdr, buf0, m2, false)), is-aligned(m1, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), is-aligned(n3, EB_PAGE_SIZE), mtd-cons(pebs), ubi-io-inv(apebs), m2 ≤ m1, m1 + n ≤ LEB_SIZE, n2 + n ≤ # buf, ⌊err0⌋ ∨ err0 = ESUCCESS, n3 < n0 ∨ n3 = 0 ∧ n0 = 0 ⊦ ⟪pebs[m0].data := copy(buf, n1, pebs[m0].data, m, n3); pebs[m0].fill := m + n3⟫ ⟨aubi_io_write_data#(m3, m1, n2, n, buf; apebs; err1)⟩ (abs(pebs, apebs) ∧ err = err1), err = ESUCCESS, n3 = 0

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 84:
pebs[m3] = mkpeb(buf1, 2 * EB_PAGE_SIZE + m2, false), apebs[m3] = mkpeb(aehdr, avhdr, buf0, m2, false), err = err0, m = m1 + 2 * EB_PAGE_SIZE, m0 = m3, n0 = n, n1 = n2, avhdr.valid?, aehdr.valid?, m0 < # pebs, m3 < # pebs, m3 < # apebs, abs(pebs, apebs), abs-peb(mkpeb(buf1, 2 * EB_PAGE_SIZE + m2, false), mkpeb(aehdr, avhdr, buf0, m2, false)), is-aligned(n3, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), is-aligned(m1, EB_PAGE_SIZE), mtd-cons(pebs), ubi-io-inv(apebs), n1 + n3 ≤ # buf, m + n3 ≤ # pebs[m0].data, n2 + n ≤ # buf, m1 + n ≤ LEB_SIZE, m2 ≤ m1, n3 < n0 ∨ n3 = 0 ∧ n0 = 0, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟪pebs := pebs[m0, pebs[m0].data:= copy(buf, n1, pebs[m0].data, m, n3)] [m0, pebs[m0, pebs[m0].data:= copy(buf, n1, pebs[m0].data, m, n3)][m0].fill:= (m + n3) ]⟫ ⟨aubi_io_write_data#(m3, m1, n2, n, buf; apebs; err1)⟩ (abs(pebs, apebs) ∧ err = err1), err = ESUCCESS, n3 = 0

Rule argument

Additional information

Used simplifier rules: ⊦ ⌊err⌋ → err ≠ ESUCCESS; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m < n → n ≠ 0; (s)% ⊦ mkpeb(buf, m, boolvar).data = buf; (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ m < n → (n ≤ m ↔ false); (s)%n < # pebs ⊦ pebs[n] = mkpeb(buf, m, boolvar) ∧ mtd-cons(pebs) → # buf = PEB_SIZE; (s)% ⊦ m ≤ n ↔ ¬ n < m; (ss)%fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat% ⊦ m + n < m + n0 ↔ n < n0; (s)% ⊦ m < n → ¬ n < m; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ PEB_SIZE < 2 * EB_PAGE_SIZE + n ↔ LEB_SIZE < n; (s)%mult-a: ⊦ m0 * m * n = (m0 * m) * n; from specification nat-mult%mult-c: ⊦ m * n = n * m; from specification nat-mult