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Proof step 71 from proof inv-wl-worker (previous step)

# apebs = # wlar, avhdr.sqn = valid-sqns(v, m, apebs).max, apebs[vtblpnum2] = mkpeb(aechdr(m1), avhdr, buf, m3, false), apebs[vtblpnum1] = mkpeb(aehdr, empty, mkempbuf(LEB_SIZE), 0, false), wlar[vtblpnum2] = wl-entry(m1, used), wlar[vtblpnum1] = wl-entry(m0, free), aehdr.valid?, vtblpnum2 < # wlar, vtblpnum1 < # wlar, bflipset-cons(bflipset, wlar), bflipset-cons(bflipset0, wlar), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aechdr(m1), avhdr, buf, m3, false)), unique-sqns(apebs), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs, sqnum), valid-peb(mkpeb(aechdr(m1), avhdr, buf, m3, false)), valid-peb(v, m, mkpeb(aechdr(m1), avhdr, buf, m3, false)), valid-vtbl(apebs, vols, wlar, vtblpnum4), bflipset = ∅ → m1 + WL_THRESHOLD ≤ m0 ⊦ vtblpnum4 = vtblpnum1, VTBL_VOLID ∈ vols, vtblpnum4 ∈ q, vtblpnum2 ∈ q, v ∈ vols ∧ m < # vols[v], v = VTBL_VOLID ∧ m = VTBL_LNUM, avhdr.valid? ∧ vtblpnum2 ≠ vtblpnum4, vols[v][m] = ⌜vtblpnum2⌝ ∧ v ∈ vols ∧ m < # vols[v]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 72:
# apebs = # wlar, avhdr.sqn = valid-sqns(v, m, apebs).max, wlar[vtblpnum1] = wl-entry(m0, free), wlar[vtblpnum4] = wl-entry(m1, used), apebs[vtblpnum1] = mkpeb(aehdr, empty, mkempbuf(LEB_SIZE), 0, false), apebs[vtblpnum4] = mkpeb(aechdr(m1), avhdr, buf, m3, false), aehdr.valid?, vtblpnum1 < # wlar, vtblpnum4 < # wlar, bflipset-cons(bflipset0, wlar), bflipset-cons(bflipset, wlar), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aechdr(m1), avhdr, buf, m3, false)), unique-sqns(apebs), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs, sqnum), valid-peb(v, m, mkpeb(aechdr(m1), avhdr, buf, m3, false)), valid-peb(mkpeb(aechdr(m1), avhdr, buf, m3, false)), valid-vtbl(apebs, vols, wlar, vtblpnum4), bflipset = ∅ → m1 + WL_THRESHOLD ≤ m0 ⊦ vtblpnum4 = vtblpnum1, vtblpnum4 ∈ q, VTBL_VOLID ∈ vols, v = VTBL_VOLID ∧ m = VTBL_LNUM, v ∈ vols ∧ m < # vols[v], vols[v][m] = ⌜vtblpnum4⌝ ∧ v ∈ vols ∧ m < # vols[v]

Rule argument

Additional information

Used simplifier rules: lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%valid-vtbl-wlar-status: ⊦ wlar[n0] = wl-entry(m, stat) ∧ valid-vtbl(apebs, vols, wlar, n0) → stat = used; (forward) from specification ubi-base%lf-02: ⊦ m < n ∧ m = n0 → n0 < n; (forward) from specification nat-basic% ⊦ valid-peb(mkpeb(aehdr, avhdr, buf, m, boolvar)) → avhdr.valid?; (ss)