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Proof step 431 from proof prepost-scan-all (previous step)

# apebs = n0 + vtblpnum, # wlar0 = n0 + vtblpnum, avhdr.size = 0, apebs[vtblpnum] = mkpeb(aechdr(m), avhdr1, buf1, m0, false), avhdr = apebs[vtblpnum].vidhdr, buf = mkbuf(LEB_SIZE), err = err0, err = ESUCCESS, ladr = avhdr.vol × avhdr.leb, n = 0, wlar = wlar0[vtblpnum, wlar0[vtblpnum].ec:= m], apebs[vtblpnum].vidhdr.valid?, avhdr.valid?, vtblpnum < # wlar, vtblpnum < # wlar0, nx < vtblpnum, vtblpnum < # apebs, bflipset-cons(bflipset, subarray(wlar0, 0, vtblpnum)), indices-erasing(wlar0, nx), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aechdr(m), avhdr1, buf1, m0, false)), unique-sqns(apebs), valid-eraseq(subarray(wlar0, 0, vtblpnum), q), valid-eraseq-stronger(subarray(apebs, 0, vtblpnum), q), valid-global-sqn(subarray(apebs, 0, vtblpnum), sqnum), valid-recs(subarray(apebs, 0, vtblpnum), subarray(wlar0, 0, vtblpnum), recs), valid-recs-sqns(apebs, recs), valid-wl(subarray(apebs, 0, vtblpnum), subarray(wlar0, 0, vtblpnum)), ladr ∈ recs, avhdr.size ≠ 0 → avhdr.valid? ∧ (avhdr.size ≤ datasize(buf) → avhdr.valid? ∧ avhdr.valid?), avhdr.size ≠ 0 → avhdr.size ≤ datasize(buf) ∧ avhdr.checksum = checksum(buf, avhdr.size), ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ apebs[vtblpnum].vidhdr = empty, n0 = 0, dups(nx), recs[ladr].sqn ≤ avhdr.sqn, vtblpnum + 1 ≤ # apebs ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ ( err = ESUCCESS → # apebs = # wlar[vtblpnum, wl-entry(wlar[vtblpnum].ec, erasing)] ∧ nx < vtblpnum + 1 ∧ indices-erasing(wlar[vtblpnum, wl-entry(wlar[vtblpnum].ec, erasing)], nx) ∧ valid-global-sqn(subarray(apebs, 0, vtblpnum + 1), max(sqnum, avhdr.sqn + 1)) ∧ valid-eraseq(subarray(wlar[vtblpnum, wl-entry(wlar[vtblpnum].ec, erasing)], 0, vtblpnum + 1), q + eq-entry(vtblpnum, ladr.vol × ladr.leb) ') ∧ bflipset-cons(bflipset, subarray(wlar[vtblpnum, wl-entry(wlar[vtblpnum].ec, erasing)], 0, vtblpnum + 1)) ∧ valid-eraseq-stronger(subarray(apebs, 0, vtblpnum + 1), q + eq-entry(vtblpnum, ladr.vol × ladr.leb) ') ∧ valid-wl(subarray(apebs, 0, vtblpnum + 1), subarray(wlar[vtblpnum, wl-entry(wlar[vtblpnum].ec, erasing)], 0, vtblpnum + 1)) ∧ valid-recs-sqns(apebs, recs) ∧ valid-recs(subarray(apebs, 0, vtblpnum + 1), subarray(wlar[vtblpnum, wl-entry(wlar[vtblpnum].ec, erasing)], 0, vtblpnum + 1), recs)) ∧ # apebs < n0 + vtblpnum + 1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ n < n; (s)% ⊦ m + n < m + n0 ↔ n < n0; (s)% ⊦ m < n → n ≠ 0; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).vidhdr = avhdr; (s)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m < n + 1 ↔ ¬ n < m; (s)%m < # apebs, # wlar = # apebs, stat ≠ used ⊦ valid-recs(subarray(apebs, 0, m), subarray(wlar, 0, m), recs) → valid-recs (subarray(apebs, 0, m + 1), subarray(wlar[m, wl-entry(m0, stat)], 0, m + 1), recs); (ss)% ⊦ used ≠ erasing; (s)% ⊦ m < m + n ↔ n ≠ 0; (s)%n < # wlar ⊦ bflipset-cons(bflipset, subarray(wlar, 0, n)) → bflipset-cons(bflipset, subarray(wlar[n, wle], 0, n + 1)); (ss)%a: ⊦ (q + q0) + q1 = q + q0 + q1; from specification list[erasequeue-base]%m < # wlar ⊦ valid-eraseq(subarray(wlar, 0, m), q) → valid-eraseq (subarray(wlar[m, wl-entry(m0, erasing)], 0, m + 1), q + eq-entry(m, lref) '); (ss)% ⊦ (v × m).leb = m; (s)% ⊦ (v × m).vol = v; (s)%⊦ indices-erasing(wlar, nx) → indices-erasing(wlar[m, wl-entry(n, erasing)], nx); (ss)% ⊦ nx < m → nx < m + n; (ss)%m < # wlar ⊦ wlar[m, wle][m, wle0] = wlar[m, wle0]; (s)% ⊦ m + m0 ≤ m ↔ m0 = 0; (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ (wle.ec:= m).ec = m; (s)% ⊦ m < # wlar → wlar[m, wle][m] = wle; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m + 1 ≤ n ↔ m < n; (s)% ⊦ ¬ ⌊ESUCCESS⌋ ; (s)% ⊦ m ≤ n ↔ ¬ n < m; (ss)% ⊦ # wlar[n, wle] = # wlar; (s)