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Proof step 16 from proof refine-write (previous step)

# apebs = # wlar, LEB_SIZE = (n2 + vtblpnum5) + n, vols[v][vtblpnum3] = unmapped, apebs1 = apebs, q1 = q, vols1 = vols, vtblpnum3 < # avols[v], vtblpnum3 < # vols[v], abs(avols, apebs, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols), is-aligned(vtblpnum5, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum4), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum4), valid-wl(apebs, wlar), v ∈ avols, v ∈ vols, vtblpnum5 + n ≤ LEB_SIZE, n0 + n ≤ # buf, n + n0 ≤ # buf, n ≤ LEB_SIZE ⊦ ∀ vols, wlar, q, sqnum, apebs, err. # apebs = # wlar ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, sqnum) ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs, q) ∧ ¬ VTBL_VOLID ∈ vols ∧ bflipset-cons(bflipset, wlar) ∧ valid-ebatbl(apebs, wlar, vols, vtblpnum4) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum4) ∧ ubi-io-inv(apebs) ∧ id(apebs, apebs1, mapped-pebs(vols1)) ∧ q.lebrefs ⊆ q1.lebrefs ++ (v × vtblpnum3) ∧ (n = 0 → q.lebrefs ⊆ q1.lebrefs) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err ≠ ESUCCESS → vols = vols1) ∧ ( err = ESUCCESS → (∃ n1. vols = vols1[v, vols1[v][vtblpnum3, ⌜n1⌝ ]] ∧ (n ≠ 0 → apebs[n1].fill = vtblpnum5 + n) ∧ (n = 0 → apebs[n1].fill = 0) ∧ apebs[n1].data = mkempbuf(vtblpnum5) + subarray(buf, n0, n) + mkempbuf(n2))) → ⟨ebm_write#(v, vtblpnum3, vtblpnum5, n0, n, buf; avols; err0)⟩ (abs(avols, apebs, vols, q) ∧ err = err0), avols[v][vtblpnum3].mapped?, VTBL_VOLID ∈ vols

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 17:
# 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)

Rule argument

Additional information

Used simplifier rules: abs-idset-fwd: ⊦ id(apebs1, apebs0, mapped-pebs(vols)) ∧ valid-ebatbl(apebs0, wlar, vols, n0) ∧ abs(avols, apebs0, vols, q) → abs(avols, apebs1, vols, q); (forward) from specification ubi-abs