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Proof step 12 from proof prepost-erase-worker-helper (previous step)

# apebs0 = # wlar0, wlar0[m] = wl-entry(m0, erasing), apebs1 = apebs0, err0 = EIO, vtblpnum = vtblpnum2, vtblpnum0 = m, vtblpnum3 = 0, wlar1 = wlar0, vtblpnum0 < # wlar, m < # wlar0, bflipset-cons(bflipset, wlar0), erase-worker-inv(apebs0, wlar0, vtblpnum, err, apebs, vols, wlar, q0, eq-entry(m, lref), q1, bflipset, vtblpnum1, sqnum), ubi-io-inv(apebs0), unique-sqns(apebs0), valid-ebatbl(apebs0, wlar0, vols, vtblpnum1), valid-eraseq(apebs0, q0 + eq-entry(m, lref) ' + q1), valid-eraseq(wlar0, q0 + eq-entry(m, lref) ' + q1), valid-eraseq(q0 + eq-entry(m, lref) ' + q1), valid-global-sqn(apebs0, sqnum), valid-vtbl(apebs0, vols, wlar0, vtblpnum1), valid-wl(apebs0, wlar0), vtblpnum ≤ UBI_ERASE_RETRIES ⊦ ⟪aubi_io_sync_erase#(vtblpnum0; apebs; err); wlar[vtblpnum0].ec := wlar[vtblpnum0].ec + 1; if err = ESUCCESS then aubi_io_write_echdr#(vtblpnum0, aechdr(wlar[vtblpnum0].ec); apebs; err) else debug#("ubi: erase of PEB " + vtblpnum0.toString + " failed"); vtblpnum := vtblpnum + 1⟫ ( erase-worker-inv(apebs0, wlar0, vtblpnum, err, apebs, vols, wlar, q0, eq-entry(m, lref), q1, bflipset, vtblpnum1, sqnum) ∧ UBI_ERASE_RETRIES + 1 - vtblpnum < UBI_ERASE_RETRIES + 1 - vtblpnum2), err = ESUCCESS, vtblpnum1 = m, vtblpnum1 ∈ q1, vtblpnum1 ∈ q0, VTBL_VOLID ∈ vols

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
# apebs0 = # wlar0, # apebs = # wlar0, # wlar = # wlar0, wlar[m].status = erasing, wlar0[m] = wl-entry(m0, erasing), err ≠ ESUCCESS, vtblpnum1 ≠ m, m < # wlar0, bflipset-cons(bflipset, wlar0), bflipset-cons(bflipset, wlar), id○(apebs, apebs0, m), id○(wlar, wlar0, m), ubi-io-inv(apebs0), ubi-io-inv(apebs), unique-sqns(apebs0), unique-sqns(apebs), valid-ebatbl(apebs0, wlar0, vols, vtblpnum1), valid-ebatbl(apebs, wlar, vols, vtblpnum1), valid-eraseq(q0 + eq-entry(m, lref) ' + q1), valid-eraseq(wlar0, q0 + eq-entry(m, lref) ' + q1), valid-eraseq(apebs0, q0 + eq-entry(m, lref) ' + q1), valid-eraseq(wlar, q0 + eq-entry(m, lref) ' + q1), valid-eraseq(apebs, q0 + eq-entry(m, lref) ' + q1), valid-global-sqn(apebs0, sqnum), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs0, vols, wlar0, vtblpnum1), valid-vtbl(apebs, vols, wlar, vtblpnum1), valid-wl(apebs0, wlar0), valid-wl(apebs, wlar), vtblpnum2 ≤ UBI_ERASE_RETRIES, vtblpnum2 ≤ UBI_ERASE_RETRIES + 1, ¬ VTBL_VOLID ∈ vols, ¬ vtblpnum1 ∈ q0, ¬ vtblpnum1 ∈ q1 ⊦ ⟪aubi_io_sync_erase#(m; apebs; err); wlar[m].ec := wlar[m].ec + 1; if err = ESUCCESS then aubi_io_write_echdr#(m, aechdr(wlar[m].ec); apebs; err) else debug#("ubi: erase of PEB " + m.toString + " failed"); vtblpnum := vtblpnum2 + 1⟫ ( vtblpnum ≤ UBI_ERASE_RETRIES + 1 ∧ m < # apebs ∧ id○(apebs, apebs0, m) ∧ id○(wlar, wlar0, m) ∧ # apebs = # wlar ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, sqnum) ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(wlar, q0 + eq-entry(m, lref) ' + q1) ∧ valid-eraseq(apebs, q0 + eq-entry(m, lref) ' + q1) ∧ bflipset-cons(bflipset, wlar) ∧ valid-ebatbl(apebs, wlar, vols, vtblpnum1) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum1) ∧ ubi-io-inv(apebs) ∧ (err = ESUCCESS → apebs[m].echdr = aechdr(wlar[m].ec) ∧ apebs[m].vidhdr = empty ∧ ¬ apebs[m].bad) ∧ UBI_ERASE_RETRIES < (UBI_ERASE_RETRIES - vtblpnum2) + vtblpnum)

Rule argument

Additional information

Used simplifier rules: lf-valid-eraseq-middle-wlar: ⊦ valid-eraseq(wlar, q0 + eq-entry(m, lref) ' + q1) → m < # wlar;% ⊦ m < n → n ≠ 0; (s)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%idexcept-size: ⊦ id○(apebs, apebs0, n) → # apebs = # apebs0; (forward) from specification array-copy[apebs]%idexcept-size: ⊦ id○(wlar, wlar0, n) → # wlar = # wlar0; (forward) from specification array-copy[wlarray-base]%valid-eraseqp-in0: ⊦ valid-eraseq(wlar, q0 + eq-entry(n, lref) ' + q1) → wlar[n].status = erasing; (forward) from specification ubi-base% ⊦ m + n < m + n0 ↔ n < n0; (s)%n0 ≤ n ⊦ n - n0 < m ↔ n < m + n0; (s)% ⊦ m ≤ n → (n < m ↔ false); (s)% ⊦ m ≤ n ↔ ¬ n < m; (ss)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ n ≤ m → m + n0 - n = (m - n) + n0; (s)%⊦ ubi-cons(apebs, vols, wlar, q, bflipset, n0, n1) ↔ # apebs = # wlar ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, n1) ∧ 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, n0) ∧ valid-vtbl(apebs, vols, wlar, n0); (s)%a: ⊦ (q + q0) + q1 = q + q0 + q1; from specification list[erasequeue-base]% ⊦ eqent + q = eqent ' + q; (s)% ⊦ eq-entry(m, lref).pnum = m; (s)%⊦ erase-worker-inv (apebs0, wlar0, m, err, apebs, vols, wlar, q0, eqent, q1, bflipset, n0, n1) ↔ m ≤ UBI_ERASE_RETRIES + 1 ∧ eqent.pnum < # apebs ∧ id○(apebs, apebs0, eqent.pnum) ∧ id○(wlar, wlar0, eqent.pnum) ∧ ubi-cons(apebs, vols, wlar, q0 + (eqent + q1), bflipset, n0, n1) ∧ ubi-io-inv(apebs) ∧ ( err = ESUCCESS → apebs[eqent.pnum].echdr = aechdr(wlar[eqent.pnum].ec) ∧ apebs[eqent.pnum].vidhdr = empty ∧ ¬ apebs[eqent.pnum].bad); (s)