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Proof step 5 from proof refine-change (previous step)

# apebs = # wlar, EB_PAGE_SIZE = EB_PAGE_SIZE, apebs = apebs, apebs1 = apebs, buf0 = buf, n1 = n, q = q, q1 = q, v0 = v, vols = vols, vols1 = vols, vtblpnum2 = EB_PAGE_SIZE, vtblpnum3 = vtblpnum, vtblpnum < # avols[v], vtblpnum < # vols[v], abs(avols, apebs, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols), is-aligned(n, EB_PAGE_SIZE), ubi-cons(apebs, vols, wlar, q, bflipset, vtblpnum0, sqnum), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum0), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum0), valid-wl(apebs, wlar), v ∈ avols, v ∈ vols, n ≤ LEB_SIZE, n ≤ # buf ⊦ [ubi_change#(v, vtblpnum, n, buf, EB_PAGE_SIZE; vols, wlar, q, bflipset, vtblpnum0, sqnum, apebs; err)] ( ubi-cons(apebs, vols, wlar, q, bflipset, vtblpnum0, sqnum) ∧ ubi-io-inv(apebs) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err ≠ ESUCCESS → vols = vols1 ∧ id(apebs, apebs1, mapped-pebs(vols)) ∧ q.lebrefs ⊆ q1.lebrefs) ∧ ( err = ESUCCESS → v0 ∈ vols1 ∧ vtblpnum3 < # vols1[v0] ∧ q.lebrefs ⊆ q1.lebrefs ++ (v0 × vtblpnum3) ∧ (vols1[v0][vtblpnum3] ≠ unmapped → id(apebs, apebs1, mapped-pebs(vols1) -- vols1[v0][vtblpnum3].pnum)) ∧ (vols1[v0][vtblpnum3] = unmapped → id(apebs, apebs1, mapped-pebs(vols1))) ∧ (∃ n. vols = vols1[v0, vols1[v0][vtblpnum3, ⌜n⌝ ]] ∧ apebs[n].data = subarray(buf0, 0, n1) + mkempbuf(LEB_SIZE - n1) ∧ apebs[n].fill = align↑(datasize(buf0, n1), EB_PAGE_SIZE))) → ⟨ebm_change#(v, vtblpnum, n, buf; avols; err0)⟩ (abs(avols, apebs, vols, q) ∧ err = err0)), VTBL_VOLID ∈ vols

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
# apebs = # wlar, apebs1 = apebs, q1 = q, vols1 = vols, vtblpnum < # avols[v], vtblpnum < # vols[v], abs(avols, apebs, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols), is-aligned(n, EB_PAGE_SIZE), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum0), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum0), valid-wl(apebs, wlar), v ∈ avols, v ∈ vols, n ≤ LEB_SIZE, n ≤ # buf, ¬ VTBL_VOLID ∈ vols ⊦ [ubi_change#(v, vtblpnum, n, buf, EB_PAGE_SIZE; vols, wlar, q, bflipset, vtblpnum0, 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, vtblpnum0) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum0) ∧ ubi-io-inv(apebs) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err ≠ ESUCCESS → vols = vols1 ∧ id(apebs, apebs1, mapped-pebs(vols1)) ∧ q.lebrefs ⊆ q1.lebrefs) ∧ ( err = ESUCCESS → v ∈ vols1 ∧ vtblpnum < # vols1[v] ∧ q.lebrefs ⊆ q1.lebrefs ++ (v × vtblpnum) ∧ (vols1[v][vtblpnum] ≠ unmapped → id(apebs, apebs1, mapped-pebs(vols1) -- vols1[v][vtblpnum].pnum)) ∧ (vols1[v][vtblpnum] = unmapped → id(apebs, apebs1, mapped-pebs(vols1))) ∧ (∃ n0. vols = vols1[v, vols1[v][vtblpnum, ⌜n0⌝ ]] ∧ apebs[n0].data = subarray(buf, 0, n) + mkempbuf(LEB_SIZE - n) ∧ apebs[n0].fill = align↑(datasize(buf, n), EB_PAGE_SIZE))) → ⟨ebm_change#(v, vtblpnum, n, buf; avols; err0)⟩ (abs(avols, apebs, vols, q) ∧ err = err0))

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%⊦ ubi-cons(apebs, vols, wlar, q, bflipset, n0, n1) ↔ # apebs = # wlar ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, n1) ∧ 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, n0) ∧ valid-vtbl(apebs, vols, wlar, n0); (s)