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Proof step 47 from proof refine-write-vidhdr (previous step)

# buf2 = EB_PAGE_SIZE, mkpeb(buf1, EB_PAGE_SIZE, false).bad ↔ mkpeb(aehdr, empty, buf0, m1, false).bad, pebs[m2] = mkpeb(buf1, EB_PAGE_SIZE, false), apebs[m2] = mkpeb(aehdr, empty, buf0, m1, false), aehdr.valid?, m2 < # apebs, m2 < # pebs, abs(pebs, apebs), is-encoded(vidhdr(v, m6, m5, m3, m4), buf2), mtd-cons(pebs), ubi-io-inv(apebs), 2 * EB_PAGE_SIZE ≤ PEB_SIZE, ¬ mkpeb(buf1, EB_PAGE_SIZE, false).bad → mkpeb(buf1, EB_PAGE_SIZE, false).fill = (mkpeb(aehdr, empty, buf0, m1, false).echdr = empty ⊃ 0 ;(mkpeb(aehdr, empty, buf0, m1, false).vidhdr = empty ⊃ EB_PAGE_SIZE;mkpeb(aehdr, empty, buf0, m1, false).fill + 2 * EB_PAGE_SIZE) ) ∧ abs-echdr(subarray(mkpeb(buf1, EB_PAGE_SIZE, false).data, 0, EB_PAGE_SIZE), mkpeb(aehdr, empty, buf0, m1, false).echdr) ∧ abs-vidhdr(subarray(mkpeb(buf1, EB_PAGE_SIZE, false).data, EB_PAGE_SIZE, EB_PAGE_SIZE), mkpeb(aehdr, empty, buf0, m1, false).vidhdr) ∧ subarray(mkpeb(buf1, EB_PAGE_SIZE, false).data, 2 * EB_PAGE_SIZE, LEB_SIZE) = mkpeb(aehdr, empty, buf0, m1, false).data ⊦ 2 * EB_PAGE_SIZE = (aehdr = empty ⊃ 0;m1 + 2 * EB_PAGE_SIZE) ∧ abs-echdr(subarray(buf1, 0, EB_PAGE_SIZE), aehdr) ∧ abs-vidhdr(buf2, avidhdr(v, m6, m5, m3, m4)) ∧ subarray(buf1, 2 * EB_PAGE_SIZE, LEB_SIZE) = buf0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 48:
# buf2 = EB_PAGE_SIZE, pebs[m2] = mkpeb(buf1, EB_PAGE_SIZE, false), apebs[m2] = mkpeb(aehdr, empty, subarray(buf1, 2 * EB_PAGE_SIZE, LEB_SIZE), m1, false), aehdr.valid?, m2 < # apebs, m2 < # pebs, abs(pebs, apebs), abs-echdr(subarray(buf1, 0, EB_PAGE_SIZE), aehdr), abs-vidhdr(subarray(buf1, EB_PAGE_SIZE, EB_PAGE_SIZE), empty), is-encoded(vidhdr(v, m6, m5, m3, m4), buf2), mtd-cons(pebs), ubi-io-inv(apebs), 2 * EB_PAGE_SIZE ≤ PEB_SIZE ⊦ aehdr = empty, m1 = 0 ∧ abs-vidhdr(buf2, avidhdr(v, m6, m5, m3, m4))

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% ⊦ m = m + n ↔ n = 0; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).data = buf; (s)% ⊦ mkpeb(buf, m, boolvar).data = buf; (s)% ⊦ EB_PAGE_SIZE ≠ 0; (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)