| # apebs = n1 + vtblpnum1, # wlar0 = n1 + vtblpnum1, # buf1 = # buf, apebs[vtblpnum1] = mkpeb(aechdr(m), avidhdr(v, m1, m2, m3, m4), buf0, m0, false), buf = mkbuf(LEB_SIZE), err = err0, n = LEB_SIZE, n0 = 0, wlar = wlar0[vtblpnum1, wlar0[vtblpnum1].ec:= m], nx < vtblpnum1, vtblpnum1 < # wlar0, bflipset-cons(bflipset, subarray(wlar0, 0, vtblpnum1)), indices-erasing(wlar0, nx), range=(buf1, n0 + n, buf, n0 + n, # buf - n0 + n), range=(buf1, 0, buf, 0, n0), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aechdr(m), avidhdr(v, m1, m2, m3, m4), buf0, 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-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)), ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟪vtblpnum1 := vtblpnum1 + 1⟫ ( vtblpnum1 ≤ # apebs ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ ( err = ESUCCESS → # apebs = # wlar ∧ nx < vtblpnum1 ∧ indices-erasing(wlar, nx) ∧ valid-global-sqn(subarray(apebs, 0, vtblpnum1), sqnum) ∧ valid-eraseq(subarray(wlar, 0, vtblpnum1), q) ∧ bflipset-cons(bflipset, subarray(wlar, 0, vtblpnum1)) ∧ valid-eraseq-stronger(subarray(apebs, 0, vtblpnum1), q) ∧ valid-wl(subarray(apebs, 0, vtblpnum1), subarray(wlar, 0, vtblpnum1)) ∧ valid-recs-sqns(apebs, recs) ∧ valid-recs(subarray(apebs, 0, vtblpnum1), subarray(wlar, 0, vtblpnum1), recs)) ∧ # apebs < n1 + vtblpnum1), err = ESUCCESS, m3 = 0, n1 = 0, dups(nx) |
Used simplifier rules: ubi-io-inv-fwd: n < # apebs ⊦ apebs[n] = apeb ∧ ubi-io-inv(apebs) → ubi-io-peb-inv(apeb);% ⊦ # mkbuf(n) = n; (s)% ⊦ n + 0 = n; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ m - m = 0; (s)% ⊦ range=(buf, n0, buf0, n1, 0) ↔ n0 ≤ # buf ∧ n1 ≤ # buf0; (s)% ⊦ m ≤ m; (s)% ⊦ 0 ≤ m; (s)% ⊦ ⌊err⌋ → err ≠ ESUCCESS; (s)% ⊦ m + 1 ≤ n ↔ m < n; (s)% ⊦ m < n + 1 ↔ ¬ n < m; (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ m + m0 ≤ m ↔ m0 = 0; (s)% ⊦ m < m + n ↔ n ≠ 0; (s)% ⊦ m + n < m + n0 ↔ n < n0; (s)% ⊦ ¬ n < n; (s)