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Proof step 322 from proof refine-write (previous step)

# apebs = # wlar, apebs[n4] = mkpeb(aehdr, avhdr, buf2, m0, false), vols[v][vtblpnum3] = ⌜n4⌝ , avols[v][vtblpnum3] = mapped(buf2, m), wlar[n4] = wl-entry(m1, used), buf0 = mkbuf(vtblpnum5 + n1), buf1 = copy(apebs[vols[v][vtblpnum3].pnum].data, 0, buf0, 0, vtblpnum5), err = ESUCCESS, err = err0, err2 = err, aehdr.valid?, avhdr.valid?, vtblpnum3 < # avols[v], n4 < # wlar, vols[v][vtblpnum3].pnum < # apebs, vtblpnum3 < # vols[v], abs(avols, apebs, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols), is-aligned(vtblpnum5, EB_PAGE_SIZE), is-aligned(n1, 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, vtblpnum5 + n1 ≤ # buf1, vtblpnum5 ≤ LEB_SIZE, m ≤ LEB_SIZE, m0 ≤ LEB_SIZE, vtblpnum5 + n1 ≤ LEB_SIZE, n3 + n1 ≤ # buf, n1 + n3 ≤ # buf, m ≤ vtblpnum5, m0 ≤ vtblpnum5, 0 + vtblpnum5 ≤ # apebs[vols[v][vtblpnum3].pnum].data, 0 + vtblpnum5 ≤ # buf0, ⌊err3⌋ , ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟪debug#("ubi: moving data from PEB " + vols[v][vtblpnum3].pnum.toString); ubi_change# (v, vtblpnum3, vtblpnum5 + n1, copy(buf, n3, buf1, vtblpnum5, n1), EB_PAGE_SIZE; vols, wlar, q, bflipset, vtblpnum4, sqnum, apebs; err2)⟫ ⟨ebm_write#(v, vtblpnum3, vtblpnum5, n3, n1, buf; avols; err1)⟩ (abs(avols, apebs, vols, q) ∧ err2 = err1), vols[v][vtblpnum3] = unmapped, n1 = 0, vtblpnum4 = n4, VTBL_VOLID ∈ vols

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 323:
# apebs = # wlar, wlar[n4] = wl-entry(m1, used), avols[v][vtblpnum3] = mapped(buf2, m), vols[v][vtblpnum3] = ⌜n4⌝ , apebs[n4] = mkpeb(aehdr, avhdr, buf2, m0, false), n1 ≠ 0, vtblpnum4 ≠ n4, avhdr.valid?, aehdr.valid?, vtblpnum3 < # vols[v], n4 < # wlar, vtblpnum3 < # avols[v], abs(avols, apebs, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols), is-aligned(n1, 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, m0 ≤ vtblpnum5, m ≤ vtblpnum5, n1 + n3 ≤ # buf, n3 + n1 ≤ # buf, vtblpnum5 + n1 ≤ LEB_SIZE, m0 ≤ LEB_SIZE, m ≤ LEB_SIZE, vtblpnum5 ≤ LEB_SIZE, ⌊err3⌋ , ¬ VTBL_VOLID ∈ vols ⊦ ⟪debug#("ubi: moving data from PEB " + vols[v][vtblpnum3].pnum.toString); ubi_change# (v, vtblpnum3, vtblpnum5 + n1, copy(buf, n3, copy(apebs[vols[v][vtblpnum3].pnum].data, 0, mkbuf(vtblpnum5 + n1), 0, vtblpnum5), vtblpnum5, n1), EB_PAGE_SIZE ; vols, wlar, q, bflipset, vtblpnum4, sqnum, apebs ; err0)⟫ ⟨ebm_write#(v, vtblpnum3, vtblpnum5, n3, n1, buf; avols; err1)⟩ (abs(avols, apebs, vols, q) ∧ err0 = err1)

Rule argument

Additional information

Used simplifier rules: ⊦ v ∈ avols ∧ m < # avols[v] ∧ avols[v][m] = mapped(buf, n) ∧ ebm-cons(avols) → # buf = LEB_SIZE; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).data = buf; (s)% ⊦ ⌜m⌝ .pnum = m; (s)% ⊦ unmapped ≠ ⌜m⌝ ; (s)%let: ⊦ n ≤ n0 ∧ n0 ≤ n1 → n ≤ n1; (forward) from specification nat% ⊦ ¬ ⌊ESUCCESS⌋ ; (s)% ⊦ m ≤ m; (s)% ⊦ m + n ≤ m + n0 ↔ n ≤ n0; (s)% ⊦ # copy(buf, m, buf0, m0, n) = # buf0; (s)% ⊦ m ≤ m + n; (s)% ⊦ # mkbuf(n) = n; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ n + 0 = n; (s)