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Proof step 231 from proof prepost-scan-all (previous step)

# 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)), ¬ mkpeb(aechdr(m), avidhdr(v, m1, m2, m3, checksum(buf1, m3)), buf1, m0, false).bad ∧ mkpeb(aechdr(m), avidhdr(v, m1, m2, m3, checksum(buf1, m3)), buf1, m0, false).echdr.valid? ∧ (∃ m6, m4, m5. mkpeb(aechdr(m), avidhdr(v, m1, m2, m3, checksum(buf1, m3)), buf1, m0, false).vidhdr = avidhdr(v, m1, m6, m4, m5) ∧ ( m4 ≠ 0 → m4 ≤ datasize(mkpeb(aechdr(m), avidhdr(v, m1, m2, m3, checksum(buf1, m3)), buf1, m0, false).data) ∧ m5 = checksum(mkpeb(aechdr(m), avidhdr(v, m1, m2, m3, checksum(buf1, m3)), buf1, m0, false).data, m4)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 232:
# 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, avhdr.sqn), apebs[m4] = mkpeb(aehdr, avhdr, buf, m5, boolvar), m2 < avhdr.sqn, m4 < vtblpnum1, nx < vtblpnum1, bflipset-cons(bflipset, subarray(wlar0, 0, vtblpnum1)), indices-erasing(wlar0, nx), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf, m5, boolvar)), 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, 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 ≤ LEB_SIZE, m3 ≤ datasize(buf1) ⊦ m3 = 0, n1 = 0, dups(nx), m4 ∈ q, ∃ m6, m7, m8. avidhdr(v, m1, m2, m3, checksum(buf1, m3)) = avidhdr(v, m1, m6, m7, m8) ∧ (m7 ≠ 0 → m7 ≤ datasize(buf1) ∧ m8 = checksum(buf1, m7)), 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: ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).data = buf; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).vidhdr = avhdr; (s)% ⊦ aechdr(m).valid?; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).echdr = aehdr; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).bad ↔ boolvar; (s)