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Proof step 21 from proof refine-write-vidhdr (previous step)

# buf2 = EB_PAGE_SIZE, apebs[m2] = mkpeb(aehdr, empty, buf0, m1, false), pebs[m2] = mkpeb(buf1, EB_PAGE_SIZE, false), buf = buf2, m = EB_PAGE_SIZE, m0 = m2, n0 = EB_PAGE_SIZE, n1 = 0, aehdr.valid?, m2 < # pebs, m2 < # apebs, abs(pebs, apebs), abs-peb(mkpeb(buf1, EB_PAGE_SIZE, false), mkpeb(aehdr, empty, buf0, m1, false)), is-encoded(vidhdr(v, m6, m5, m3, m4), buf2), mtd-cons(pebs), ubi-io-inv(apebs) ⊦ ⟪if m0 < # pebs ∧ ¬ pebs[m0].bad ∧ pebs[m0].fill ≤ m ∧ m + n0 ≤ PEB_SIZE ∧ n1 + n0 ≤ # buf ∧ is-aligned(m, EB_PAGE_SIZE) ∧ is-aligned(n0, EB_PAGE_SIZE) then {fail_or_success#(; ; err); if err = ESUCCESS then {pebs[m0].data := copy(buf, n1, pebs[m0].data, m, n0); pebs[m0].fill := m + n0} else choose n with (n < n0 ∨ n = 0 ∧ n0 = 0) ∧ is-aligned(n, EB_PAGE_SIZE) in if n ≠ 0 then {pebs[m0].data := copy(buf, n1, pebs[m0].data, m, n); pebs[m0].fill := m + n}} else abort⟫ ⟨aubi_io_write_vidhdr#(m2, avidhdr(v, m6, m5, m3, m4); apebs; err0)⟩ (abs(pebs, apebs) ∧ err = err0)

Heuristic symbolic execution applied rule if positive right

And obtained the following new goals

Proof step 22:
# buf2 = EB_PAGE_SIZE, pebs[m2] = mkpeb(buf1, EB_PAGE_SIZE, false), apebs[m2] = mkpeb(aehdr, empty, buf0, m1, false), buf = buf2, m = EB_PAGE_SIZE, m0 = m2, n0 = EB_PAGE_SIZE, n1 = 0, aehdr.valid?, m2 < # apebs, m2 < # pebs, abs(pebs, apebs), abs-peb(mkpeb(buf1, EB_PAGE_SIZE, false), mkpeb(aehdr, empty, buf0, m1, false)), is-encoded(vidhdr(v, m6, m5, m3, m4), buf2), mtd-cons(pebs), ubi-io-inv(apebs) ⊦ ⟪fail_or_success#(; ; err); if err = ESUCCESS then {pebs[m0].data := copy(buf, n1, pebs[m0].data, m, n0); pebs[m0].fill := m + n0} else choose n with (n < n0 ∨ n = 0 ∧ n0 = 0) ∧ is-aligned(n, EB_PAGE_SIZE) in if n ≠ 0 then {pebs[m0].data := copy(buf, n1, pebs[m0].data, m, n); pebs[m0].fill := m + n}⟫ ⟨aubi_io_write_vidhdr#(m2, avidhdr(v, m6, m5, m3, m4); apebs; err0)⟩ (abs(pebs, apebs) ∧ err = err0)

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ mkpeb(buf, m, boolvar).bad ↔ boolvar; (s)% ⊦ mkpeb(buf, m, boolvar).fill = m; (s)% ⊦ EB_PAGE_SIZE ≠ 0; (s)%m ≠ 0 ⊦ is-aligned(n, m) → (m ≤ n ↔ n ≠ 0); (s)% ⊦ m + m = 2 * m; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ n + 0 = n; (s)%n ≠ 0 ⊦ is-aligned(n, n); (s)% ⊦ m ≤ n ↔ ¬ n < m; (ss)% ⊦ ¬ PEB_SIZE < 2 * EB_PAGE_SIZE; (s)%mult-a: ⊦ m0 * m * n = (m0 * m) * n; from specification nat-mult%mult-c: ⊦ m * n = n * m; from specification nat-mult