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Proof step 211 from proof inv-format (previous step)

# buf1 = LEB_SIZE, # wlar = # apebs1, apebs1[vtblpnum2] = mkpeb(aehdr, empty, buf0, 0, false), apebs0 = apebs1[vtblpnum2, mkpeb(aehdr, avidhdr(VTBL_VOLID, VTBL_LNUM, 0, 0, 0), buf0, 0, false)], vtblpnum2 ≠ # apebs1, aehdr.valid?, vtblpnum2 < # apebs1, is-aligned(LEB_SIZE, EB_PAGE_SIZE), is-encoded(∅, buf1), ubi-io-initial(apebs1), ubi-io-inv(apebs1[vtblpnum2, mkpeb(aehdr, avidhdr(VTBL_VOLID, VTBL_LNUM, 0, 0, 0), buf0, 0, false)]), ENCODED_NAT_SIZE ≤ LEB_SIZE, ∀ n3. n3 < # apebs1 → (apebs1[n3].bad → wlar[n3] = wl-entry(0, erroneous)) ∧ (¬ apebs1[n3].bad → apebs1[n3].echdr.valid? ∧ wlar[n3] = wl-entry(apebs1[n3].echdr.ec, free) ∧ apebs1[n3].vidhdr = empty) ⊦ [aubi_io_write_data#(vtblpnum2, 0, 0, LEB_SIZE, buf1; apebs0; err)] ( ubi-io-inv(apebs0) → ⟪vols := ∅; wlar[vtblpnum2] := wl-entry(wlar[vtblpnum2].ec, used); q := []; sqnum := 1; bflipset := ∅⟫ ( ( err = ESUCCESS → # apebs0 = # wlar ∧ unique-sqns(apebs0) ∧ valid-global-sqn(apebs0, sqnum) ∧ valid-wl(apebs0, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs0, q) ∧ ¬ VTBL_VOLID ∈ vols ∧ bflipset-cons(bflipset, wlar) ∧ valid-ebatbl(apebs0, wlar, vols, vtblpnum2) ∧ valid-vtbl(apebs0, vols, wlar, vtblpnum2)) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → vols = ∅)))

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 212:
# wlar = # apebs1, # buf1 = LEB_SIZE, apebs1[vtblpnum2] = mkpeb(aehdr, empty, buf0, 0, false), apebs = apebs0, apebs0 = apebs1[vtblpnum2, mkpeb(aehdr, avidhdr(VTBL_VOLID, VTBL_LNUM, 0, 0, 0), buf0, 0, false)], buf = buf1, n0 = LEB_SIZE, n1 = 0, vtblpnum = 0, vtblpnum0 = vtblpnum2, aehdr.valid?, vtblpnum2 < # apebs1, is-aligned(LEB_SIZE, EB_PAGE_SIZE), is-encoded(∅, buf1), ubi-io-initial(apebs1), ubi-io-inv(apebs1[vtblpnum2, mkpeb(aehdr, avidhdr(VTBL_VOLID, VTBL_LNUM, 0, 0, 0), buf0, 0, false)]), ENCODED_NAT_SIZE ≤ LEB_SIZE, ∀ n3. n3 < # apebs1 → (apebs1[n3].bad → wlar[n3] = wl-entry(0, erroneous)) ∧ (¬ apebs1[n3].bad → apebs1[n3].echdr.valid? ∧ wlar[n3] = wl-entry(apebs1[n3].echdr.ec, free) ∧ apebs1[n3].vidhdr = empty) ⊦ [if ubi-io-write-data-pre(vtblpnum0, vtblpnum, n1, n0, buf, apebs) then {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)} else abort] ( ubi-io-inv(apebs) → ⟪vols := ∅; wlar[vtblpnum2] := wl-entry(wlar[vtblpnum2].ec, used); q := []; sqnum := 1; bflipset := ∅⟫ ( ( err = ESUCCESS → # apebs = # wlar ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, sqnum) ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs, q) ∧ ¬ VTBL_VOLID ∈ vols ∧ bflipset-cons(bflipset, wlar) ∧ valid-ebatbl(apebs, wlar, vols, vtblpnum2) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum2)) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → vols = ∅))), vtblpnum2 = # apebs1

Rule argument

pos: right 1

Additional information

Used simplifier rules: aubi_io_write_data#(PNUM, OFFSET, N0, N, BUF; APEBS; ERR) {if ubi-io-write-data-pre(PNUM, OFFSET, N0, N, BUF, APEBS) then {fail_or_success#(; ; ERR); if ERR = ESUCCESS then APEBS[PNUM] := mkpeb (APEBS[PNUM].echdr, APEBS[PNUM].vidhdr, subarray(APEBS[PNUM].data, 0, OFFSET) + subarray(BUF, N0, N) + mkempbuf(LEB_SIZE - OFFSET - N), OFFSET + N, APEBS[PNUM].bad) else choose N1 with (N1 < N ∨ N1 = 0 ∧ N = 0) ∧ is-aligned(N1, EB_PAGE_SIZE) in if N1 ≠ 0 then APEBS[PNUM] := mkpeb (APEBS[PNUM].echdr, APEBS[PNUM].vidhdr, subarray(APEBS[PNUM].data, 0, OFFSET) + subarray(BUF, N0, N1) + mkempbuf(LEB_SIZE - OFFSET - N1), OFFSET + N1, APEBS[PNUM].bad)} else abort };