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Proof step 32 from proof refine-write (previous step)

# apebs = # wlar, # apebs0 = # wlar0, LEB_SIZE = (n2 + vtblpnum5) + n, vols[v][vtblpnum3] = unmapped, apebs0[n3] = mkpeb(aehdr, avhdr, buf0, m, boolvar), err = ESUCCESS, err = err1, 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, n4 + n ≤ # buf, n + n4 ≤ # buf, n ≤ LEB_SIZE, LEB_SIZE - vtblpnum5 ≥ n, LEB_SIZE ≥ vtblpnum5, q0.lebrefs ⊆ q.lebrefs ++ (v × vtblpnum3), err1 = ESUCCESS → vols0 = vols[v, vols[v][vtblpnum3, ⌜n3⌝ ]] ∧ (n ≠ 0 → m = vtblpnum5 + n) ∧ (n = 0 → m = 0) ∧ buf0 = mkempbuf(vtblpnum5) + subarray(buf, n4, n) + mkempbuf(n2), err1 ≠ ESUCCESS → vols0 = vols, n = 0 → q0.lebrefs ⊆ q.lebrefs, err1 = ESUCCESS ∨ ⌊err1⌋ ⊦ avols[v][vtblpnum3].mapped?, VTBL_VOLID ∈ vols, VTBL_VOLID ∈ vols0, abs (avols[v, avols[v][vtblpnum3, mapped(mkempbuf(vtblpnum5) + subarray(buf, n4, n) + mkempbuf(LEB_SIZE - vtblpnum5 - n), vtblpnum5 + n)]], apebs0, vols0, q0) ∧ err1 = err

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 33:
# apebs = # wlar, # apebs0 = # wlar0, LEB_SIZE = (n2 + vtblpnum5) + n, vols[v][vtblpnum3] = unmapped, apebs0[n3] = mkpeb(aehdr, avhdr, mkempbuf(vtblpnum5) + subarray(buf, n4, n) + mkempbuf(n2), 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, vols[v, vols[v][vtblpnum3, ⌜n3⌝ ]], 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, vols, wlar0, vtblpnum4), valid-wl(apebs, wlar), valid-wl(apebs0, wlar0), v ∈ avols, v ∈ vols, vtblpnum5 + n ≤ LEB_SIZE, n4 + n ≤ # buf, n + n4 ≤ # buf, n ≤ LEB_SIZE, n + vtblpnum5 ≤ LEB_SIZE, vtblpnum5 ≤ LEB_SIZE, q0.lebrefs ⊆ q.lebrefs ++ (v × vtblpnum3), n = 0 → m = 0, n ≠ 0 → m = vtblpnum5 + n, n = 0 → q0.lebrefs ⊆ q.lebrefs ⊦ avols[v][vtblpnum3].mapped?, abs (avols[v, avols[v][vtblpnum3, mapped(mkempbuf(vtblpnum5) + subarray(buf, n4, n) + mkempbuf(LEB_SIZE - vtblpnum5 - n), vtblpnum5 + n)]], apebs0, vols[v, vols[v][vtblpnum3, ⌜n3⌝ ]], q0), VTBL_VOLID ∈ vols

Rule argument

Additional information

Used simplifier rules: ⊦ v ∈ vols[v0, ebatbl] ↔ v = v0 ∨ v ∈ vols; (ws)%⊦ v ∈ vols → ( valid-vtbl(apebs, vols[v, vols[v][m, ebae]], wlar, n0) ↔ valid-vtbl(apebs, vols, wlar, n0)); (s)%n0 ≤ n ⊦ m ≤ n - n0 ↔ m + n0 ≤ n; (s)% ⊦ m ≤ n → (n < m ↔ false); (s)% ⊦ m ≤ n ↔ ¬ n < m; (ss)% ⊦ n ≥ m ↔ m ≤ n; (s)