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Proof step 57 from proof refine-write (previous step)

# apebs = # wlar, apebs[n1] = mkpeb(aehdr, avhdr, buf2, m0, false), vols[v][vtblpnum3] = ⌜n1⌝ , avols[v][vtblpnum3] = mapped(buf2, m), avhdr.valid?, n1 < # wlar, 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), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf2, m0, false)), 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, m0 ≤ vtblpnum5, vtblpnum5 + n ≤ LEB_SIZE, n + n0 ≤ # buf, n0 + n ≤ # buf, m ≤ vtblpnum5 ⊦ n = 0, VTBL_VOLID ∈ vols, ubi-cons(apebs, vols, wlar, q, bflipset, vtblpnum4, sqnum) ∧ ubi-io-inv(apebs) ∧ vols[v][vtblpnum3].pnum < # apebs ∧ is-aligned(vtblpnum5, EB_PAGE_SIZE) ∧ is-aligned(n, EB_PAGE_SIZE) ∧ apebs[vols[v][vtblpnum3].pnum].fill ≤ vtblpnum5 ∧ vtblpnum5 + n ≤ LEB_SIZE ∧ n0 + n ≤ # buf ∧ wlar[vols[v][vtblpnum3].pnum].status = used ∧ vtblpnum4 ≠ vols[v][vtblpnum3].pnum

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 58:
# apebs = # wlar, avols[v][vtblpnum3] = mapped(buf2, m), vols[v][vtblpnum3] = ⌜n1⌝ , apebs[n1] = mkpeb(aehdr, avhdr, buf2, m0, false), avhdr.valid?, vtblpnum3 < # vols[v], vtblpnum3 < # avols[v], n1 < # wlar, abs(avols, apebs, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols), is-aligned(n, EB_PAGE_SIZE), is-aligned(vtblpnum5, EB_PAGE_SIZE), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf2, m0, false)), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum4), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum4), valid-wl(apebs, wlar), v ∈ vols, v ∈ avols, m ≤ vtblpnum5, n0 + n ≤ # buf, n + n0 ≤ # buf, vtblpnum5 + n ≤ LEB_SIZE, m0 ≤ vtblpnum5 ⊦ n = 0, VTBL_VOLID ∈ vols, wlar[n1].status = used ∧ vtblpnum4 ≠ n1

Rule argument

Additional information

Used simplifier rules: ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).fill = m; (s)% ⊦ ⌜m⌝ .pnum = m; (s)%c: ⊦ m + n = n + m; 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)