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Proof step 96 from proof refine-write-data-wl (previous step)

LEB_SIZE = n0 + n2, apebs[m1] = mkpeb(aehdr, avhdr, buf2, 0, false), pebs[m1] = mkpeb(buf3, 2 * EB_PAGE_SIZE, false), pebs[m1] = mkpeb(buf0, m, boolvar), n = align↑(datasize(buf, n), EB_PAGE_SIZE), avhdr.valid?, aehdr.valid?, m1 < # apebs, m1 < # pebs, n2 < n, n2 < LEB_SIZE, n2 < # buf, n2 < datasize(buf, n), abs(pebs, apebs), abs-peb(mkpeb(buf3, 2 * EB_PAGE_SIZE, false), mkpeb(aehdr, avhdr, buf2, 0, false)), is-aligned(n2, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), mtd-cons(pebs), ubi-io-inv(apebs), 2 * EB_PAGE_SIZE + n2 ≤ PEB_SIZE, n ≤ LEB_SIZE, n ≤ # buf, ⌊err1⌋ ⊦ ( datasize(subarray(buf, 0, n2), n2) < datasize(buf, n) ∨ checksum(buf + mkempbuf(n - # buf), datasize(buf, n)) ≠ checksum(buf, datasize(buf, n))) ∧ ⟨apebs[m1] := mkpeb(apebs[m1].echdr, apebs[m1].vidhdr, subarray(buf, 0, n2) + mkempbuf(n0), # subarray(buf, 0, n2), apebs[m1].bad)⟩ abs(pebs[m1, (pebs[m1].data:= copy(buf, 0, buf0, 2 * EB_PAGE_SIZE, n2)).fill:= (2 * EB_PAGE_SIZE + n2)], apebs), n0 = 0, n2 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 97:
LEB_SIZE = n0 + n2, pebs[m1] = mkpeb(buf0, 2 * EB_PAGE_SIZE, false), apebs[m1] = mkpeb(aehdr, avhdr, buf2, 0, false), n = align↑(datasize(buf, n), EB_PAGE_SIZE), n0 ≠ 0, n2 ≠ 0, avhdr.valid?, aehdr.valid?, m1 < # apebs, m1 < # pebs, n2 < n, n2 < LEB_SIZE, n2 < # buf, n2 < datasize(buf, n), abs(pebs, apebs), abs-peb(mkpeb(buf0, 2 * EB_PAGE_SIZE, false), mkpeb(aehdr, avhdr, buf2, 0, false)), is-aligned(n2, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), mtd-cons(pebs), ubi-io-inv(apebs), 2 * EB_PAGE_SIZE + n2 ≤ PEB_SIZE, n ≤ LEB_SIZE, n ≤ # buf, ⌊err1⌋ ⊦ ( datasize(subarray(buf, 0, n2), n2) < datasize(buf, n) ∨ checksum(buf + mkempbuf(n - # buf), datasize(buf, n)) ≠ checksum(buf, datasize(buf, n))) ∧ ⟨apebs[m1] := mkpeb(apebs[m1].echdr, apebs[m1].vidhdr, subarray(buf, 0, n2) + mkempbuf(n0), # subarray(buf, 0, n2), apebs[m1].bad)⟩ abs(pebs[m1, (pebs[m1].data:= copy(buf, 0, buf0, 2 * EB_PAGE_SIZE, n2)).fill:= (2 * EB_PAGE_SIZE + n2)], apebs)

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% ⊦ n + 0 = n; (s)%abs-fillcount-valid-headers: ⊦ n < # pebs ∧ apebs[n] = mkpeb(aehdr, avhdr, buf, m0, false) ∧ pebs[n] = mkpeb(buf0, m1, false) ∧ aehdr.valid? ∧ avhdr.valid? ∧ abs(pebs, apebs) → m1 = 2 * EB_PAGE_SIZE + m0; (forward) from specification ubi-io-abs%⊦ mkpeb(buf, m, boolvar) = mkpeb(buf0, m0, boolvar0) ↔ buf = buf0 ∧ m = m0 ∧ (boolvar ↔ boolvar0); (ws)%abs-fwd: ⊦ n < # pebs ∧ pebs[n] = peb ∧ abs(pebs, apebs) → n < # apebs ∧ abs-peb(peb, apebs[n]); (forward) from specification ubi-io-abs%abs-bad: ⊦ n < # apebs ∧ abs(pebs, apebs) ∧ pebs[n] = mkpeb(buf0, m0, boolvar0) ∧ apebs[n] = mkpeb(aehdr, avhdr, buf, m1, boolvar1) → (boolvar0 ↔ boolvar1); (forward) from specification ubi-io-abs