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Proof step 120 from proof prepost-erase-worker-helper (previous step)

# wlar = # wlar0, # apebs = # wlar0, # apebs0 = # wlar0, wlar0[m] = wl-entry(m0, erasing), apebs[m] = mkpeb(aechdr(m2), empty, buf, m1, false), wlar[m] = wl-entry(m2, stat), stat = erasing, m < # wlar0, bflipset-cons(bflipset, wlar), bflipset-cons(bflipset, wlar0), id○(wlar, wlar0, m), id○(apebs, apebs0, m), ubi-io-inv(apebs), ubi-io-inv(apebs0), ubi-io-peb-inv(mkpeb(aechdr(m2), empty, buf, m1, false)), unique-sqns(apebs), unique-sqns(apebs0), valid-ebatbl(apebs, wlar, vols, vtblpnum1), valid-ebatbl(apebs0, wlar0, vols, vtblpnum1), valid-eraseq(apebs, q0 + eq-entry(m, lref) ' + q1), valid-eraseq(wlar, q0 + eq-entry(m, lref) ' + q1), 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-global-sqn(apebs, sqnum), valid-global-sqn(apebs0, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum1), valid-vtbl(apebs0, vols, wlar0, vtblpnum1), valid-wl(apebs, wlar), valid-wl(apebs0, wlar0), valid-wl(apebs, wlar[m, wl-entry(m2, free)]), vtblpnum ≤ UBI_ERASE_RETRIES + 1 ⊦ vtblpnum1 = m, VTBL_VOLID ∈ vols, vtblpnum1 ∈ q0, vtblpnum1 ∈ q1, id(apebs, apebs0, mapped-pebs(vols)) ∧ valid-ebatbl(apebs, wlar[m, wl-entry(m2, free)], vols, vtblpnum1) ∧ valid-eraseq(wlar[m, wl-entry(m2, free)], q0 + q1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 121:
# apebs0 = # wlar0, # apebs = # wlar0, # wlar = # wlar0, wlar[m] = wl-entry(m2, erasing), apebs[m] = mkpeb(aechdr(m2), empty, buf, m1, false), wlar0[m] = wl-entry(m0, erasing), 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), ubi-io-peb-inv(mkpeb(aechdr(m2), empty, buf, m1, false)), unique-sqns(apebs0), unique-sqns(apebs), valid-ebatbl(apebs0, wlar0, vols, vtblpnum1), valid-ebatbl(apebs, wlar, 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-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(apebs, wlar[m, wl-entry(m2, free)]), valid-wl(apebs0, wlar0), valid-wl(apebs, wlar), vtblpnum ≤ UBI_ERASE_RETRIES + 1 ⊦ vtblpnum1 = m, vtblpnum1 ∈ q1, vtblpnum1 ∈ q0, VTBL_VOLID ∈ vols, valid-ebatbl(apebs, wlar[m, wl-entry(m2, free)], vols, vtblpnum1) ∧ valid-eraseq(wlar[m, wl-entry(m2, free)], q0 + q1)

Rule argument

Additional information

Used simplifier rules: lf-valid-wl-not-erroneous: n < # wlar, stat ≠ erroneous ⊦ apebs[n] = mkpeb(aehdr, avhdr, buf, m, boolvar) ∧ wlar[n] = wl-entry(m0, stat) ∧ valid-wl(apebs, wlar) → ¬ boolvar;%ubi-io-inv-fwd: n < # apebs ⊦ apebs[n] = apeb ∧ ubi-io-inv(apebs) → ubi-io-peb-inv(apeb);% ⊦ valid-eraseq(wlar, q0 + eq-entry(m, lref) ' + q1) → ¬ # wlar ≤ m; (s)%a: ⊦ (q + q0) + q1 = q + q0 + q1; from specification list[erasequeue-base]% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ erroneous ≠ erasing; (s)%n < # wlar, stat ≠ used ⊦ wlar[n] = wl-entry(m, stat) ∧ id○(apebs, apebs0, n) ∧ valid-ebatbl(apebs, wlar, vols, n0) → id(apebs, apebs0, mapped-pebs(vols)); (ss)% ⊦ used ≠ erasing; (s)