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Proof step 17 from proof refine-write (previous step)

# apebs0 = # wlar0, # apebs = # wlar, LEB_SIZE = (n2 + vtblpnum5) + n, vols[v][vtblpnum3] = unmapped, vtblpnum3 < # vols[v], vtblpnum3 < # avols[v], abs(avols, apebs, vols, q), abs(avols, apebs0, vols, q), bflipset-cons(bflipset, wlar0), bflipset-cons(bflipset, wlar), ebm-cons(avols), id(apebs0, apebs, mapped-pebs(vols)), is-aligned(n, EB_PAGE_SIZE), is-aligned(vtblpnum5, EB_PAGE_SIZE), ubi-io-inv(apebs0), ubi-io-inv(apebs), unique-sqns(apebs0), unique-sqns(apebs), valid-ebatbl(apebs0, wlar0, vols0, vtblpnum4), valid-ebatbl(apebs, wlar, vols, vtblpnum4), valid-eraseq(q0), valid-eraseq(wlar0, q0), valid-eraseq(apebs0, q0), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs0, sqnum0), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs0, vols0, wlar0, vtblpnum4), valid-vtbl(apebs, vols, wlar, vtblpnum4), valid-wl(apebs0, wlar0), valid-wl(apebs, wlar), v ∈ vols, v ∈ avols, n ≤ LEB_SIZE, n + n0 ≤ # buf, n0 + n ≤ # buf, vtblpnum5 + n ≤ LEB_SIZE, q0.lebrefs ⊆ q.lebrefs ++ (v × vtblpnum3), ¬ avols[v][vtblpnum3].mapped?, ¬ VTBL_VOLID ∈ vols, ¬ VTBL_VOLID ∈ vols0, n = 0 → q0.lebrefs ⊆ q.lebrefs, err ≠ ESUCCESS → vols0 = vols, err = ESUCCESS → vols0 = vols[v, vols[v][vtblpnum3, ⌜n1⌝ ]] ∧ (n ≠ 0 → apebs0[n1].fill = vtblpnum5 + n) ∧ (n = 0 → apebs0[n1].fill = 0) ∧ apebs0[n1].data = mkempbuf(vtblpnum5) + subarray(buf, n0, n) + mkempbuf(n2), err = ESUCCESS ∨ ⌊err⌋ ⊦ ⟨ebm_write#(v, vtblpnum3, vtblpnum5, n0, n, buf; avols; err0)⟩ (abs(avols, apebs0, vols0, q0) ∧ err = err0)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 18:
# apebs = # wlar, # apebs0 = # wlar0, LEB_SIZE = (n2 + vtblpnum5) + n, vols[v][vtblpnum3] = unmapped, apebs0[n1] = mkpeb(aehdr, avhdr, buf0, m, boolvar), vtblpnum3 < # avols[v], vtblpnum3 < # vols[v], abs(avols, apebs0, vols, q), abs(avols, apebs, vols, q), bflipset-cons(bflipset, wlar), bflipset-cons(bflipset, wlar0), ebm-cons(avols), id(apebs0, apebs, mapped-pebs(vols)), is-aligned(vtblpnum5, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), ubi-io-inv(apebs), ubi-io-inv(apebs0), unique-sqns(apebs), unique-sqns(apebs0), valid-ebatbl(apebs, wlar, vols, vtblpnum4), valid-ebatbl(apebs0, wlar0, vols0, vtblpnum4), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-eraseq(apebs0, q0), valid-eraseq(wlar0, q0), valid-eraseq(q0), valid-global-sqn(apebs, sqnum), valid-global-sqn(apebs0, sqnum0), valid-vtbl(apebs, vols, wlar, vtblpnum4), valid-vtbl(apebs0, vols0, wlar0, vtblpnum4), valid-wl(apebs, wlar), valid-wl(apebs0, wlar0), v ∈ avols, v ∈ vols, vtblpnum5 + n ≤ LEB_SIZE, n0 + n ≤ # buf, n + n0 ≤ # buf, n ≤ LEB_SIZE, q0.lebrefs ⊆ q.lebrefs ++ (v × vtblpnum3), err = ESUCCESS → vols0 = vols[v, vols[v][vtblpnum3, ⌜n1⌝ ]] ∧ (n ≠ 0 → m = vtblpnum5 + n) ∧ (n = 0 → m = 0) ∧ buf0 = mkempbuf(vtblpnum5) + subarray(buf, n0, n) + mkempbuf(n2), err ≠ ESUCCESS → vols0 = vols, n = 0 → q0.lebrefs ⊆ q.lebrefs, err = ESUCCESS ∨ ⌊err⌋ ⊦ ⟨ebm_write#(v, vtblpnum3, vtblpnum5, n0, n, buf; avols; err0)⟩ (abs(avols, apebs0, vols0, q0) ∧ err = err0), avols[v][vtblpnum3].mapped?, VTBL_VOLID ∈ vols, VTBL_VOLID ∈ vols0

Rule argument

spec: apeb name: elim seq: ⊦ ( ( (aehdr = apeb.echdr ∧ avhdr = apeb.vidhdr) ∧ buf = apeb.data) ∧ m = apeb.fill) ∧ (boolvar ↔ apeb.bad) ↔ apeb = mkpeb(aehdr, avhdr, buf, m, boolvar) subst: [apeb, aehdr, avhdr, buf, m, boolvar] → [apebs0[n1], aehdr, avhdr, buf0, m, boolvar]

Additional information

Used simplifier rules: ⊦ ( ((aehdr = apeb.echdr ∧ avhdr = apeb.vidhdr) ∧ buf = apeb.data) ∧ m = apeb.fill) ∧ (boolvar ↔ apeb.bad) ↔ apeb = mkpeb(aehdr, avhdr, buf, m, boolvar); (elim) Used terms: apebs0[n1], aehdr, avhdr, buf0, m, boolvar