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Proof step 13 from proof refine-read-echdr (previous step)

pebs[m2] = mkpeb(buf1, m, false), apebs[m2] = mkpeb(aehdr1, avhdr, buf0, m1, false), buf = mkbuf(EB_PAGE_SIZE), buf = buf, buf2 = buf, m3 = m2, m4 = 0, n1 = EB_PAGE_SIZE, n2 = 0, pebs0 = pebs, m2 < # apebs, m2 < # pebs, abs(pebs, apebs), abs-peb(mkpeb(buf1, m, false), mkpeb(aehdr1, avhdr, buf0, m1, false)), mtd-cons(pebs), ubi-io-inv(apebs), 0 + EB_PAGE_SIZE ≤ PEB_SIZE, 0 + EB_PAGE_SIZE ≤ # buf ⊦ [ubi_io_read#(m2, 0, 0, EB_PAGE_SIZE, pebs; buf; bitflips, err)] ( # buf = # buf2 ∧ range=(buf, 0, buf2, 0, n2) ∧ range=(buf, n2 + n1, buf2, n2 + n1, # buf2 - n2 + n1) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → subarray(buf, n2, n1) = subarray(pebs0[m3].data, m4, n1)) → ⟪aehdr := aehdr0; if err = ESUCCESS then if buf = mkempbuf(# buf) then aehdr := empty else let ehdr = ? in {decode_echeader#(EB_PAGE_SIZE, buf; ehdr; err); if err = ESUCCESS then aehdr := aechdr(ehdr.ec)}⟫ ⟨aubi_io_read_echdr#(m2, apebs; aehdr0; isbad, err0)⟩ (aehdr = aehdr0 ∧ (bitflips ↔ isbad) ∧ err = err0)), pebs[m2].bad

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 14:
pebs[m2] = mkpeb(buf1, m, false), apebs[m2] = mkpeb(aehdr1, avhdr, buf0, m1, false), buf = mkbuf(EB_PAGE_SIZE), m2 < # apebs, m2 < # pebs, abs(pebs, apebs), abs-peb(mkpeb(buf1, m, false), mkpeb(aehdr1, avhdr, buf0, m1, false)), mtd-cons(pebs), ubi-io-inv(apebs), EB_PAGE_SIZE ≤ PEB_SIZE ⊦ [ubi_io_read#(m2, 0, 0, EB_PAGE_SIZE, pebs; buf; bitflips, err)] ( # buf = EB_PAGE_SIZE ∧ EB_PAGE_SIZE ≤ # buf ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → buf = subarray(pebs[m2].data, 0, EB_PAGE_SIZE)) → ⟪aehdr := aehdr0; if err = ESUCCESS then if buf = mkempbuf(# buf) then aehdr := empty else let ehdr = ? in {decode_echeader#(EB_PAGE_SIZE, buf; ehdr; err); if err = ESUCCESS then aehdr := aechdr(ehdr.ec)}⟫ ⟨aubi_io_read_echdr#(m2, apebs; aehdr0; isbad, err0)⟩ (aehdr = aehdr0 ∧ (bitflips ↔ isbad) ∧ err = err0))

Rule argument

Additional information

Used simplifier rules: ⊦ m - m = 0; (s)% ⊦ mkpeb(buf, m, boolvar).bad ↔ boolvar; (s)%# buf = n ⊦ subarray(buf, 0, n) = buf; (s)% ⊦ 0 ≤ m; (s)% ⊦ range=(buf, n0, buf0, n1, 0) ↔ n0 ≤ # buf ∧ n1 ≤ # buf0; (s)% ⊦ m ≤ m; (s)% ⊦ # mkbuf(n) = n; (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)