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Proof step 88 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), m = m1, m0 = m3, n0 = n, n1 = n2, aehdr.valid?, avhdr.valid?, n3 < n, 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), ubi-io-write-data-pre(m0, m, n1, n0, buf, apebs), n2 + n3 ≤ # buf, m2 ≤ m1, m1 + n ≤ LEB_SIZE, n2 + n ≤ # buf, (m1 + 2 * EB_PAGE_SIZE) + n3 ≤ PEB_SIZE, ⌊err0⌋ ⊦ ⟨fail_or_success#(; ; err); if err = ESUCCESS then apebs[m0] := mkpeb (apebs[m0].echdr, apebs[m0].vidhdr, subarray(apebs[m0].data, 0, m) + subarray(buf, n1, n0) + mkempbuf(LEB_SIZE - m - n0), m + n0, apebs[m0].bad) else choose n with (n < n0 ∨ n = 0 ∧ n0 = 0) ∧ is-aligned(n, EB_PAGE_SIZE) in if n ≠ 0 then apebs[m0] := mkpeb (apebs[m0].echdr, apebs[m0].vidhdr, subarray(apebs[m0].data, 0, m) + subarray(buf, n1, n) + mkempbuf(LEB_SIZE - m - n), m + n, apebs[m0].bad)⟩ ( abs(pebs[m3, (pebs[m3].data:= copy(buf, n2, pebs[m3].data, m1 + 2 * EB_PAGE_SIZE, n3)).fill:= ((m1 + 2 * EB_PAGE_SIZE) + n3)], apebs) ∧ err0 = err), n3 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 89:
apebs[m3] = mkpeb(aehdr, avhdr, buf0, m2, false), pebs[m3] = mkpeb(buf1, 2 * EB_PAGE_SIZE + m2, false), n3 ≠ 0, avhdr.valid?, aehdr.valid?, n3 < n, 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), n2 + n3 ≤ # buf, m1 + n ≤ LEB_SIZE, n2 + n ≤ # buf, (m1 + 2 * EB_PAGE_SIZE) + n3 ≤ PEB_SIZE, m2 ≤ m1, ⌊err0⌋ ⊦ ⟨fail_or_success#(; ; err); if err = ESUCCESS then apebs[m3] := mkpeb (apebs[m3].echdr, apebs[m3].vidhdr, subarray(apebs[m3].data, 0, m1) + subarray(buf, n2, n) + mkempbuf(LEB_SIZE - m1 - n), m1 + n, apebs[m3].bad) else {n1 := n2; m0 := m3; m := m1; choose n2 with (n2 < n ∨ n2 = 0 ∧ n = 0) ∧ is-aligned(n2, EB_PAGE_SIZE) in if n2 ≠ 0 then apebs[m0] := mkpeb (apebs[m0].echdr, apebs[m0].vidhdr, subarray(apebs[m0].data, 0, m) + subarray(buf, n1, n2) + mkempbuf(LEB_SIZE - m - n2), m + n2, apebs[m0].bad)}⟩ ( abs(pebs[m3, (pebs[m3].data:= copy(buf, n2, pebs[m3].data, m1 + 2 * EB_PAGE_SIZE, n3)).fill:= ((m1 + 2 * EB_PAGE_SIZE) + n3)], apebs) ∧ err0 = err)

Rule argument

Additional information

Used simplifier rules: ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).bad ↔ boolvar; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).echdr = aehdr; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).vidhdr = avhdr; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).fill = m; (s)%⊦ ubi-io-write-data-pre(n, n0, n1, n2, buf, apebs) ↔ n < # apebs ∧ ¬ apebs[n].bad ∧ apebs[n].echdr.valid? ∧ apebs[n].vidhdr.valid? ∧ is-aligned(n0, EB_PAGE_SIZE) ∧ is-aligned(n2, EB_PAGE_SIZE) ∧ apebs[n].fill ≤ n0 ∧ n0 + n2 ≤ LEB_SIZE ∧ n1 + n2 ≤ # buf; (s)