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Proof step 117 from proof recovery (previous step)

# mkpeb(aehdr, avhdr, buf, m0, false).data = LEB_SIZE, # vols[v] = # vols0[v], # avols0[v] = # vols0[v], # apebs0 = # wlar0, # wlar = # wlar0, vols[v][m] = unmapped, apebs0[unmapped.pnum] = mkpeb(aehdr0, avhdr0, buf0, m1, boolvar), apebs0[n] = mkpeb(aehdr, avhdr, buf, m0, false), vols0[v][m] = ⌜n⌝ , avhdr.valid?, m < # vols0[v], n < # wlar0, bflipset-cons(bflipset, wlar), bflipset-cons(bflipset0, wlar0), is-max(apebs0, vols0, wlar0, q0, bflipset0, vtblpnum3, sqnum), ubi-io-inv(apebs0), unique-sqns(apebs0), valid-ebatbl(apebs0, wlar, vols, vtblpnum), valid-ebatbl(apebs0, wlar0, vols0, vtblpnum3), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs0, q), valid-eraseq(q0), valid-eraseq(wlar0, q0), valid-eraseq(apebs0, q0), valid-global-sqn(apebs0, vtblpnum0), valid-global-sqn(apebs0, sqnum), valid-vtbl(apebs0, vols, wlar, vtblpnum), valid-vtbl(apebs0, vols0, wlar0, vtblpnum3), valid-wl(apebs0, wlar), valid-wl(apebs0, wlar0), eq-entry(n, v × m) ∈ q, v ∈ avols0, v ∈ vols, v ∈ vols0, q0.lebrefs ⊆ q.lebrefs, avols0[v][m] = erased → ¬ v × m ∈ q, ¬ mkpeb(aehdr, avhdr, buf, m0, false).bad → (mkpeb(aehdr, avhdr, buf, m0, false).echdr = empty → mkpeb(aehdr, avhdr, buf, m0, false).vidhdr = empty) ∧ ( mkpeb(aehdr, avhdr, buf, m0, false).echdr ≠ garbage ∧ mkpeb(aehdr, avhdr, buf, m0, false).vidhdr = empty → mkpeb(aehdr, avhdr, buf, m0, false).fill = 0) ∧ mkpeb(aehdr, avhdr, buf, m0, false).fill ≤ LEB_SIZE ∧ is-aligned(mkpeb(aehdr, avhdr, buf, m0, false).fill, EB_PAGE_SIZE) ∧ subarray (mkpeb(aehdr, avhdr, buf, m0, false).data, mkpeb(aehdr, avhdr, buf, m0, false).fill, LEB_SIZE - mkpeb(aehdr, avhdr, buf, m0, false).fill) = mkempbuf(LEB_SIZE - mkpeb(aehdr, avhdr, buf, m0, false).fill) ⊦ avols0[v][m].mapped?, VTBL_VOLID ∈ vols0, VTBL_VOLID ∈ vols, m0 ≤ LEB_SIZE ∧ is-aligned(m0, EB_PAGE_SIZE) ∧ range=(buf, m0, emptyleb, 0, LEB_SIZE - m0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 118:
# vols[v] = # vols0[v], # avols0[v] = # vols0[v], # apebs0 = # wlar0, # wlar = # wlar0, vols[v][m] = unmapped, apebs0[unmapped.pnum] = mkpeb(aehdr0, avhdr0, buf0, m1, boolvar), apebs0[n] = mkpeb(aehdr, avhdr, buf, m0, false), vols0[v][m] = ⌜n⌝ , subarray(buf, m0, LEB_SIZE - m0) = mkempbuf(LEB_SIZE - m0), avhdr.valid?, m < # vols0[v], n < # wlar0, bflipset-cons(bflipset, wlar), bflipset-cons(bflipset0, wlar0), is-aligned(m0, EB_PAGE_SIZE), is-max(apebs0, vols0, wlar0, q0, bflipset0, vtblpnum3, sqnum), ubi-io-inv(apebs0), unique-sqns(apebs0), valid-ebatbl(apebs0, wlar, vols, vtblpnum), valid-ebatbl(apebs0, wlar0, vols0, vtblpnum3), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs0, q), valid-eraseq(q0), valid-eraseq(wlar0, q0), valid-eraseq(apebs0, q0), valid-global-sqn(apebs0, vtblpnum0), valid-global-sqn(apebs0, sqnum), valid-vtbl(apebs0, vols, wlar, vtblpnum), valid-vtbl(apebs0, vols0, wlar0, vtblpnum3), valid-wl(apebs0, wlar), valid-wl(apebs0, wlar0), eq-entry(n, v × m) ∈ q, v ∈ avols0, v ∈ vols, v ∈ vols0, m0 ≤ LEB_SIZE, q0.lebrefs ⊆ q.lebrefs, avols0[v][m] = erased → ¬ v × m ∈ q ⊦ aehdr = empty, avhdr = empty, avols0[v][m].mapped?, range=(buf, m0, emptyleb, 0, LEB_SIZE - m0), VTBL_VOLID ∈ vols0, VTBL_VOLID ∈ vols

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ empty.valid?; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).fill = m; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).vidhdr = avhdr; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).echdr = aehdr; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).bad ↔ boolvar; (s)%n < # apebs ⊦ apebs[n] = mkpeb(aehdr, avhdr, buf, m, boolvar) ∧ ubi-io-inv(apebs) → # buf = LEB_SIZE; (s)% ⊦ m < n → (n ≤ m ↔ false); (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).data = buf; (s)