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Proof step 68 from proof refine-write (previous step)

# apebs = # wlar, wlar[n2] = wl-entry(m1, used), avols[v][vtblpnum3] = mapped(buf2, m), vols[v][vtblpnum3] = ⌜n2⌝ , apebs[n2] = mkpeb(aehdr, avhdr, buf2, m0, false), n0 = n, n1 = n3, vtblpnum = vtblpnum5, vtblpnum0 = vols[v][vtblpnum3].pnum, avhdr.valid?, vtblpnum3 < # vols[v], vtblpnum3 < # avols[v], n2 < # wlar, abs(avols, apebs, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols), is-aligned(n, EB_PAGE_SIZE), is-aligned(vtblpnum5, EB_PAGE_SIZE), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf2, m0, false)), ubi-io-write-data-pre(vtblpnum0, vtblpnum, n1, n0, buf, apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum4), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum4), valid-wl(apebs, wlar), v ∈ vols, v ∈ avols, m ≤ vtblpnum5, n + n3 ≤ # buf, n3 + n ≤ # buf, vtblpnum5 + n ≤ LEB_SIZE, m0 ≤ vtblpnum5 ⊦ [fail_or_success#(; ; err); if err = ESUCCESS then apebs[vtblpnum0] := mkpeb (apebs[vtblpnum0].echdr, apebs[vtblpnum0].vidhdr, subarray(apebs[vtblpnum0].data, 0, vtblpnum) + subarray(buf, n1, n0) + mkempbuf(LEB_SIZE - vtblpnum - n0), vtblpnum + n0, apebs[vtblpnum0].bad) else choose n with (n < n0 ∨ n = 0 ∧ n0 = 0) ∧ is-aligned(n, EB_PAGE_SIZE) in if n ≠ 0 then apebs[vtblpnum0] := mkpeb (apebs[vtblpnum0].echdr, apebs[vtblpnum0].vidhdr, subarray(apebs[vtblpnum0].data, 0, vtblpnum) + subarray(buf, n1, n) + mkempbuf(LEB_SIZE - vtblpnum - n), vtblpnum + n, apebs[vtblpnum0].bad)] ( # apebs = # wlar ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, sqnum) ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(apebs, q) ∧ valid-ebatbl(apebs, wlar, vols, vtblpnum4) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum4) ∧ ubi-io-inv(apebs) → ⟪if err ≠ ESUCCESS then {debug#("ubi: failed to write to PEB " + vols[v][vtblpnum3].pnum.toString); let buf1 = mkbuf(vtblpnum5 + n), bitflips = ? in {aubi_io_read_data#(vols[v][vtblpnum3].pnum, 0, 0, vtblpnum5, apebs; buf1; bitflips, err); if err = ESUCCESS then {buf1 := copy(buf, n3, buf1, vtblpnum5, n); debug#("ubi: moving data from PEB " + vols[v][vtblpnum3].pnum.toString); ubi_change#(v, vtblpnum3, vtblpnum5 + n, buf1, EB_PAGE_SIZE; vols, wlar, q, bflipset, vtblpnum4, sqnum, apebs; err)} else debug#("ubi: failed to read data from PEB " + vols[v][vtblpnum3].pnum.toString)}}⟫ ⟨ebm_write#(v, vtblpnum3, vtblpnum5, n3, n, buf; avols; err0)⟩ (abs(avols, apebs, vols, q) ∧ err = err0)), vols[v][vtblpnum3] = unmapped, n = 0, vtblpnum4 = n2, VTBL_VOLID ∈ vols

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: lf-mapped-in-apebs: ⊦ v ∈ vols ∧ m < # vols[v] ∧ vols[v][m] = ⌜n⌝ ∧ valid-ebatbl(apebs, wlar, vols, n0) → n < # apebs;% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).bad ↔ boolvar; (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)% ⊦ ⌜m⌝ .pnum = m; (s)% ⊦ unmapped ≠ ⌜m⌝ ; (s)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic%⊦ 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)