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Proof step 111 from proof prepost-erase-worker-helper (previous step)

# wlar1 = # wlar0, # apebs = # wlar0, # apebs0 = # wlar0, UBI_ERASE_RETRIES = n0 + vtblpnum2, apebs[m] = mkpeb(aehdr, avhdr, buf, m2, false), wlar1[m] = wl-entry(m1, erasing), wlar0[m] = wl-entry(m0, erasing), m < # wlar0, bflipset-cons(bflipset, wlar1), bflipset-cons(bflipset, wlar0), id○(wlar1, wlar0, m), id○(apebs, apebs0, m), ubi-io-inv(apebs), ubi-io-inv(apebs0), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf, m2, false)), unique-sqns(apebs), unique-sqns(apebs0), valid-ebatbl(apebs, wlar1, vols, vtblpnum1), valid-ebatbl(apebs0, wlar0, vols, vtblpnum1), valid-eraseq(apebs, q0 + eq-entry(m, lref) ' + q1), valid-eraseq(wlar1, q0 + eq-entry(m, lref) ' + q1), 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(apebs, sqnum), valid-global-sqn(apebs0, sqnum), valid-vtbl(apebs, vols, wlar1, vtblpnum1), valid-vtbl(apebs0, vols, wlar0, vtblpnum1), valid-wl(apebs, wlar1), valid-wl(apebs0, wlar0), vtblpnum2 ≤ UBI_ERASE_RETRIES + 1, vtblpnum2 ≤ UBI_ERASE_RETRIES, ⌊err0⌋ ⊦ err1 = ESUCCESS, vtblpnum1 = m, VTBL_VOLID ∈ vols, vtblpnum1 ∈ q0, vtblpnum1 ∈ q1, vtblpnum2 + 1 ≤ UBI_ERASE_RETRIES + 1 ∧ valid-wl(apebs, wlar1[m, wlar1[m].ec:= (wlar1[m].ec + 1)]) ∧ valid-eraseq(wlar1[m, wlar1[m].ec:= (wlar1[m].ec + 1)], q0 + eq-entry(m, lref) ' + q1) ∧ valid-ebatbl(apebs, wlar1[m, wlar1[m].ec:= (wlar1[m].ec + 1)], vols, vtblpnum1) ∧ UBI_ERASE_RETRIES < n0 + vtblpnum2 + 1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 112:
# wlar1 = # wlar0, # apebs = # wlar0, # apebs0 = # wlar0, UBI_ERASE_RETRIES = n0 + vtblpnum2, apebs[m] = mkpeb(aehdr, avhdr, buf, m2, false), wlar1[m] = wl-entry(m1, erasing), wlar0[m] = wl-entry(m0, erasing), m < # wlar0, bflipset-cons(bflipset, wlar1), bflipset-cons(bflipset, wlar0), id○(wlar1, wlar0, m), id○(apebs, apebs0, m), ubi-io-inv(apebs), ubi-io-inv(apebs0), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf, m2, false)), unique-sqns(apebs), unique-sqns(apebs0), valid-ebatbl(apebs, wlar1, vols, vtblpnum1), valid-ebatbl(apebs0, wlar0, vols, vtblpnum1), valid-eraseq(apebs, q0 + eq-entry(m, lref) ' + q1), valid-eraseq(wlar1, q0 + eq-entry(m, lref) ' + q1), 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(apebs, sqnum), valid-global-sqn(apebs0, sqnum), valid-vtbl(apebs, vols, wlar1, vtblpnum1), valid-vtbl(apebs0, vols, wlar0, vtblpnum1), valid-wl(apebs, wlar1), valid-wl(apebs0, wlar0), vtblpnum2 ≤ UBI_ERASE_RETRIES + 1, vtblpnum2 ≤ UBI_ERASE_RETRIES, ⌊err0⌋ ⊦ err1 = ESUCCESS, vtblpnum1 = m, VTBL_VOLID ∈ vols, vtblpnum1 ∈ q0, vtblpnum1 ∈ q1, valid-eraseq(wlar1[m, wl-entry(m1 + 1, erasing)], q0 + eq-entry(m, lref) ' + q1) ∧ valid-ebatbl(apebs, wlar1[m, wl-entry(m1 + 1, erasing)], vols, vtblpnum1)

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ n < n; (s)%stat ≠ erroneous ⊦ wlar[m] = wl-entry(m0, stat) ∧ valid-wl(apebs, wlar) → valid-wl(apebs, wlar[m, wl-entry(m1, erasing)]); (ss)% ⊦ erroneous ≠ erasing; (s)% ⊦ wl-entry(m, stat).ec:= m0 = wl-entry(m0, stat); (s)% ⊦ wl-entry(m, stat).ec = m; (s)% ⊦ m < n + 1 ↔ ¬ n < m; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ n ≤ n0 ∧ n1 ≤ m → n + n1 ≤ n0 + m; (s)