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Proof step 104 from proof inv-wl-worker (previous step)

# wlar0 = # wlar, # apebs = # wlar, # apebs1 = # wlar, avhdr.sqn = valid-sqns(v, m, apebs).max, apebs1[vtblpnum1] = mkpeb(aehdr0, avhdr0, buf, align↑(datasize(buf, LEB_SIZE), EB_PAGE_SIZE), boolvar), wlar[vtblpnum1] = wl-entry(m0, free), wlar[vtblpnum2] = wl-entry(m1, used), apebs[vtblpnum1] = mkpeb(aehdr, empty, mkempbuf(LEB_SIZE), 0, false), apebs[vtblpnum2] = mkpeb(aechdr(m1), avhdr, buf, m3, false), vols[v][m] = ⌜vtblpnum2⌝ , aehdr.valid?, avhdr.valid?, m < # vols[v], vtblpnum1 < # wlar, vtblpnum2 < # wlar, bflipset-cons(bflipset0, wlar), bflipset-cons(bflipset, wlar), bflipset-cons(bflipset1, wlar0), id(apebs1, apebs, mapped-pebs(vols)), id○(apebs1, apebs, vtblpnum1), is-aligned(LEB_SIZE, EB_PAGE_SIZE), ubi-io-inv(apebs), ubi-io-inv(apebs1), ubi-io-peb-inv(mkpeb(aechdr(m1), avhdr, buf, m3, false)), ubi-io-peb-inv(mkpeb(aehdr0, avhdr0, buf, align↑(datasize(buf, LEB_SIZE), EB_PAGE_SIZE), boolvar)), unique-sqns(apebs), unique-sqns(apebs1), valid-ebatbl(apebs, wlar, vols, vtblpnum4), valid-ebatbl(apebs1, wlar0, vols[v, vols[v][m, ⌜vtblpnum1⌝ ]], vtblpnum), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-eraseq(apebs1, q1), valid-eraseq(wlar0, q1), valid-eraseq(q1), valid-global-sqn(apebs, sqnum), valid-global-sqn(apebs1, sqnum0), valid-peb(mkpeb(aechdr(m1), avhdr, buf, m3, false)), valid-peb(v, m, mkpeb(aechdr(m1), avhdr, buf, m3, false)), valid-vtbl(apebs1, vols, wlar0, vtblpnum), valid-vtbl(apebs, vols, wlar, vtblpnum4), valid-wl(apebs, wlar), valid-wl(apebs1, wlar0), v ∈ vols, q1.lebrefs ⊆ q.lebrefs ++ (v × m), bflipset = ∅ → m1 + WL_THRESHOLD ≤ m0, vols[v][m] ≠ unmapped → q1 = q + eq-entry(vols[v][m].pnum, v × m) ' ⊦ ⟪ubi_erase_worker_helper#(vtblpnum2; wlar0, apebs1; err); if err = ESUCCESS then q1 := q1.butlast⟫ ( # apebs1 = # wlar0 ∧ unique-sqns(apebs1) ∧ valid-global-sqn(apebs1, sqnum0) ∧ valid-wl(apebs1, wlar0) ∧ valid-eraseq(q1) ∧ valid-eraseq(wlar0, q1) ∧ valid-eraseq(apebs1, q1) ∧ bflipset-cons(bflipset1, wlar0) ∧ valid-ebatbl(apebs1, wlar0, vols[v, vols[v][m, ⌜vtblpnum1⌝ ]], vtblpnum) ∧ valid-vtbl(apebs1, vols, wlar0, vtblpnum) ∧ ubi-io-inv(apebs1) ∧ ( vols = vols[v, vols[v][m, ⌜vtblpnum1⌝ ]] ∧ id(apebs1, apebs, mapped-pebs(vols[v, vols[v][m, ⌜vtblpnum1⌝ ]])) ∧ q1.lebrefs ⊆ q.lebrefs ++ (VTBL_VOLID × VTBL_LNUM) ∨ (∃ v0, m2, n. v0 ∈ vols ∧ m2 < # vols[v0] ∧ vols[v0][m2] ≠ unmapped ∧ vols[v, vols[v][m, ⌜vtblpnum1⌝ ]] = vols[v0, vols[v0][m2, ⌜n⌝ ]] ∧ id(apebs1, apebs, mapped-pebs(vols) -- vols[v0][m2].pnum) ∧ apebs1[n].data = apebs[vols[v0][m2].pnum].data ∧ apebs1[n].fill ≤ apebs[vols[v0][m2].pnum].fill ∧ q1.lebrefs ⊆ q.lebrefs ++ (v0 × m2)))), vtblpnum2 = vtblpnum4, vtblpnum4 = vtblpnum1, VTBL_VOLID ∈ vols, vtblpnum4 ∈ q, vtblpnum2 ∈ q, vtblpnum ∈ q1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: lf-mapped-valid-peb: ⊦ v ∈ vols ∧ m < # vols[v] ∧ vols[v][m] = ⌜n⌝ ∧ valid-ebatbl(apebs, wlar, vols, n0) ∧ valid-wl(apebs, wlar) → valid-peb(v, m, apebs[n]);%lf-mapped-info: ⊦ v ∈ vols ∧ m < # vols[v] ∧ vols[v][m] = ⌜n⌝ ∧ valid-ebatbl(apebs, wlar, vols, n0) → wlar[n].status = used ∧ n ≠ n0 ∧ n < # wlar;%lf-vtbl-info: ⊦ valid-vtbl(apebs, vols, wlar, n) ∧ valid-eraseq(wlar, q) → ¬ n ∈ q;% ⊦ n ≠ n0 → (n ∈ q + eq-entry(n0, lref) ' ↔ n ∈ q); (s)% ⊦ n ∈ q + eq-entry(n0, lref) ' ↔ n ∈ q ∨ n = n0; (ss)%⊦ valid-peb(v0, m0, apeb) → (valid-peb(v1, m1, apeb) ↔ v0 = v1 ∧ m0 = m1); (s)% ⊦ lref ∈ s0 ++ lref0 ↔ lref = lref0 ∨ lref ∈ s0; (s)% ⊦ s0 ⊆ s0 ++ lref; (s)% ⊦ s1 ++ lref ⊆ s2 ↔ s1 ⊆ s2 ∧ lref ∈ s2; (ws)% ⊦ (q + eq-entry(n, v × m) ').lebrefs = q.lebrefs ++ (v × m); (s)% ⊦ eqent ∈ eqent0 ' ↔ eqent = eqent0; (s)% ⊦ eqent ∈ q + q0 ↔ eqent ∈ q ∨ eqent ∈ q0; (s)% ⊦ wl-entry(m, stat).status = stat; (s)%a: ⊦ (q + q0) + q1 = q + q0 + q1; from specification list[erasequeue-base]%in-15: ⊦ q + eqent ' = q0 → eqent ∈ q0; (forward) from specification list[erasequeue-base]% ⊦ ⌜m⌝ .pnum = m; (s)% ⊦ unmapped ≠ ⌜m⌝ ; (s)%⊦ v ∈ vols ∧ m < # vols[v] ∧ vols[v][m] = ⌜n0⌝ ∧ valid-ebatbl(apebs, wlar, vols, m0) → mapped-pebs(vols[v, vols[v][m, ⌜n1⌝ ]]) = (mapped-pebs(vols) -- n0) ++ n1; (s)