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Proof step 169 from proof refine-write-data-wl (previous step)

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), subarray(buf0, 2 * EB_PAGE_SIZE, LEB_SIZE) = emptyleb, avhdr.valid?, aehdr.valid?, m1 < # apebs, m1 < # pebs, abs(pebs, apebs), abs-peb(mkpeb(buf0, 2 * EB_PAGE_SIZE, false), mkpeb(aehdr, avhdr, buf2, 0, false)), is-aligned(n, EB_PAGE_SIZE), mtd-cons(pebs), ubi-io-inv(apebs), n ≤ # buf, n ≤ LEB_SIZE, 2 * EB_PAGE_SIZE ≤ PEB_SIZE, ⌊err1⌋ ⊦ datasize(buf, n) = 0, (mkpeb(buf0, 2 * EB_PAGE_SIZE, false).bad ↔ mkpeb(aehdr, avhdr, mkempbuf(LEB_SIZE), 0, false).bad) ∧ ( ¬ mkpeb(buf0, 2 * EB_PAGE_SIZE, false).bad → mkpeb(buf0, 2 * EB_PAGE_SIZE, false).fill = (mkpeb(aehdr, avhdr, mkempbuf(LEB_SIZE), 0, false).echdr = empty ⊃ 0 ;(mkpeb(aehdr, avhdr, mkempbuf(LEB_SIZE), 0, false).vidhdr = empty ⊃ EB_PAGE_SIZE ;mkpeb(aehdr, avhdr, mkempbuf(LEB_SIZE), 0, false).fill + 2 * EB_PAGE_SIZE ) ) ∧ abs-echdr(subarray(mkpeb(buf0, 2 * EB_PAGE_SIZE, false).data, 0, EB_PAGE_SIZE), mkpeb(aehdr, avhdr, mkempbuf(LEB_SIZE), 0, false).echdr) ∧ abs-vidhdr (subarray(mkpeb(buf0, 2 * EB_PAGE_SIZE, false).data, EB_PAGE_SIZE, EB_PAGE_SIZE), mkpeb(aehdr, avhdr, mkempbuf(LEB_SIZE), 0, false).vidhdr) ∧ subarray(mkpeb(buf0, 2 * EB_PAGE_SIZE, false).data, 2 * EB_PAGE_SIZE, LEB_SIZE) = mkpeb(aehdr, avhdr, mkempbuf(LEB_SIZE), 0, false).data)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 170:
apebs[m1] = mkpeb(aehdr, avhdr, buf2, 0, false), pebs[m1] = mkpeb(buf0, 2 * EB_PAGE_SIZE, false), n = align↑(datasize(buf, n), EB_PAGE_SIZE), subarray(buf0, 2 * EB_PAGE_SIZE, LEB_SIZE) = emptyleb, aehdr.valid?, avhdr.valid?, m1 < # pebs, m1 < # apebs, abs(pebs, apebs), abs-peb(mkpeb(buf0, 2 * EB_PAGE_SIZE, false), mkpeb(aehdr, avhdr, buf2, 0, false)), is-aligned(n, EB_PAGE_SIZE), mtd-cons(pebs), ubi-io-inv(apebs), 2 * EB_PAGE_SIZE ≤ PEB_SIZE, n ≤ LEB_SIZE, n ≤ # buf, ⌊err1⌋ ⊦ datasize(buf, n) = 0, 2 * EB_PAGE_SIZE = (aehdr = empty ⊃ 0;(avhdr = empty ⊃ EB_PAGE_SIZE;2 * EB_PAGE_SIZE)) ∧ abs-echdr(subarray(buf0, 0, EB_PAGE_SIZE), aehdr) ∧ abs-vidhdr(subarray(buf0, EB_PAGE_SIZE, EB_PAGE_SIZE), avhdr) ∧ emptyleb = mkempbuf(LEB_SIZE)

Rule argument

Additional information

Used simplifier rules: ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).data = buf; (s)% ⊦ mkpeb(buf, m, boolvar).data = buf; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ n + 0 = n; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).fill = m; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).vidhdr = avhdr; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).echdr = aehdr; (s)% ⊦ mkpeb(buf, m, boolvar).fill = m; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).bad ↔ boolvar; (s)% ⊦ mkpeb(buf, m, boolvar).bad ↔ boolvar; (s)