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Proof step 220 from proof prepost-scan-all (previous step)

# wlar0 = n1 + vtblpnum1, # apebs = n1 + vtblpnum1, avhdr.sqn = valid-sqns(v, m1, apebs, vtblpnum1).max, apebs[vtblpnum1] = mkpeb(aechdr(m), avidhdr(v, m1, m2, m3, checksum(buf1, m3)), buf1, m0, false), recs[v × m1] = recovery-entry(m4, valid-sqns(v, m1, apebs, vtblpnum1).max), apebs[m4] = mkpeb(aehdr, avhdr, buf, m5, boolvar), m4 < vtblpnum1, m2 < valid-sqns(v, m1, apebs, vtblpnum1).max, nx < vtblpnum1, bflipset-cons(bflipset, subarray(wlar0, 0, vtblpnum1)), indices-erasing(wlar0, nx), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aechdr(m), avidhdr(v, m1, m2, m3, checksum(buf1, m3)), buf1, m0, false)), unique-sqns(apebs), valid-eraseq(subarray(wlar0, 0, vtblpnum1), q), valid-eraseq-stronger(subarray(apebs, 0, vtblpnum1), q), valid-global-sqn(subarray(apebs, 0, vtblpnum1), sqnum), valid-peb(v, m1, apebs[m4]), valid-recs(subarray(apebs, 0, vtblpnum1), subarray(wlar0, 0, vtblpnum1), recs), valid-recs-sqns(apebs, recs), valid-wl(subarray(apebs, 0, vtblpnum1), subarray(wlar0, 0, vtblpnum1)), v × m1 ∈ recs, m3 ≤ LEB_SIZE, m3 ≤ datasize(buf1) ⊦ m3 = 0, n1 = 0, dups(nx), m4 ∈ q, valid-global-sqn(subarray(apebs, 0, vtblpnum1 + 1), max(sqnum, m2 + 1)) ∧ valid-eraseq-stronger(subarray(apebs, 0, vtblpnum1 + 1), q + eq-entry(vtblpnum1, v × m1) ') ∧ valid-wl(subarray(apebs, 0, vtblpnum1 + 1), subarray(wlar0[vtblpnum1, wl-entry(m, erasing)], 0, vtblpnum1 + 1))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 221:
# apebs = n1 + vtblpnum1, # wlar0 = n1 + vtblpnum1, avhdr.sqn = valid-sqns(v, m1, apebs, vtblpnum1).max, apebs[m4] = mkpeb(aehdr, avhdr, buf, m5, boolvar), recs[v × m1] = recovery-entry(m4, avhdr.sqn), apebs[vtblpnum1] = mkpeb(aechdr(m), avidhdr(v, m1, m2, m3, checksum(buf1, m3)), buf1, m0, false), nx < vtblpnum1, m4 < vtblpnum1, m2 < avhdr.sqn, bflipset-cons(bflipset, subarray(wlar0, 0, vtblpnum1)), indices-erasing(wlar0, nx), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aechdr(m), avidhdr(v, m1, m2, m3, checksum(buf1, m3)), buf1, m0, false)), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf, m5, boolvar)), unique-sqns(apebs), valid-eraseq(subarray(wlar0, 0, vtblpnum1), q), valid-eraseq-stronger(subarray(apebs, 0, vtblpnum1), q), valid-global-sqn(subarray(apebs, 0, vtblpnum1), sqnum), valid-peb(v, m1, mkpeb(aehdr, avhdr, buf, m5, boolvar)), valid-recs(subarray(apebs, 0, vtblpnum1), subarray(wlar0, 0, vtblpnum1), recs), valid-recs-sqns(apebs, recs), valid-wl(subarray(apebs, 0, vtblpnum1), subarray(wlar0, 0, vtblpnum1)), v × m1 ∈ recs, m3 ≤ datasize(buf1), m3 ≤ LEB_SIZE ⊦ m3 = 0, n1 = 0, dups(nx), m4 ∈ q, valid-global-sqn(subarray(apebs, 0, vtblpnum1 + 1), max(sqnum, m2 + 1)) ∧ valid-eraseq-stronger(subarray(apebs, 0, vtblpnum1 + 1), q + eq-entry(vtblpnum1, v × m1) ') ∧ valid-wl(subarray(apebs, 0, vtblpnum1 + 1), subarray(wlar0[vtblpnum1, wl-entry(m, erasing)], 0, vtblpnum1 + 1))

Rule argument

Additional information

Used simplifier rules: lf-valid-recs-sqns-vidhdr: ⊦ v × m ∈ recs ∧ recs[v × m] = recovery-entry(n0, n1) ∧ valid-recs-sqns(apebs, recs) → apebs[n0].vidhdr.sqn = n1;%lf-valid-recs-max: m ≤ # apebs, # apebs = # wlar ⊦ valid-recs(subarray(apebs, 0, m), subarray(wlar, 0, m), recs) ∧ valid-recs-sqns(apebs, recs) ∧ valid-wl(subarray(apebs, 0, m), subarray(wlar, 0, m)) ∧ v × n ∈ recs ∧ recs[v × n] = recovery-entry(m0, m1) → m1 = valid-sqns(v, n, apebs, m).max;%ubi-io-inv-fwd: n < # apebs ⊦ apebs[n] = apeb ∧ ubi-io-inv(apebs) → ubi-io-peb-inv(apeb);% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).vidhdr = avhdr; (s)% ⊦ ¬ m + n < m; (s)% ⊦ m < n → n ≠ 0; (s)%fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m ≤ m + n; (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)