| # apebs0 = n0 + vtblpnum0, # wlar = n0 + vtblpnum0, apebs0[vtblpnum0] = mkpeb(aehdr1, avhdr1, buf1, m1, true), apebs0[vtblpnum2] = mkpeb(aehdr0, avhdr, buf, m, boolvar), apebs0[n] = mkpeb(aehdr, avhdr0, buf0, m0, boolvar0), ubi-io-initial(apebs0), n ≤ vtblpnum0, vtblpnum2 ≤ n0 + vtblpnum0, vtblpnum2 ≠ n0 + vtblpnum0 → ¬ boolvar, ∀ n3. n3 < vtblpnum0 → (apebs0[n3].bad → wlar[n3] = wl-entry(0, erroneous)) ∧ (¬ apebs0[n3].bad → apebs0[n3].echdr.valid? ∧ wlar[n3] = wl-entry(apebs0[n3].echdr.ec, free) ∧ apebs0[n3].vidhdr = empty) ⊦ n0 = 0, (boolvar0 → wlar[vtblpnum0, wl-entry(0, erroneous)][n] = wl-entry(0, erroneous)) ∧ (¬ boolvar0 → aehdr.valid? ∧ wlar[n] = wl-entry(aehdr.ec, free) ∧ avhdr0 = empty) |
# wlar = n0 + vtblpnum0, # apebs0 = n0 + vtblpnum0, apebs0[n] = mkpeb(aehdr, avhdr0, buf0, m0, boolvar0), apebs0[vtblpnum2] = mkpeb(aehdr0, avhdr, buf, m, boolvar), apebs0[vtblpnum0] = mkpeb(aehdr1, avhdr1, buf1, m1, true), ubi-io-initial(apebs0), vtblpnum2 ≤ n0 + vtblpnum0, n ≤ vtblpnum0, vtblpnum2 ≠ n0 + vtblpnum0 → ¬ boolvar, ∀ n3. n3 < vtblpnum0 → (apebs0[n3].bad → wlar[n3] = wl-entry(0, erroneous)) ∧ (¬ apebs0[n3].bad → apebs0[n3].echdr.valid? ∧ wlar[n3] = wl-entry(apebs0[n3].echdr.ec, free) ∧ apebs0[n3].vidhdr = empty) ⊦ n = vtblpnum0, n0 = 0, (boolvar0 → wlar[vtblpnum0, wl-entry(0, erroneous)][n] = wl-entry(0, erroneous)) ∧ (¬ boolvar0 → aehdr.valid? ∧ wlar[n] = wl-entry(aehdr.ec, free) ∧ avhdr0 = empty)
Used simplifier rules: ⊦ m ≤ m; (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ m + m0 ≤ m ↔ m0 = 0; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic%m < # wlar ⊦ wlar[m, wle][m] = wle; (s)%⊦ mkpeb(aehdr, avhdr, buf, m, boolvar) = mkpeb(aehdr0, avhdr0, buf0, m0, boolvar0) ↔ aehdr = aehdr0 ∧ avhdr = avhdr0 ∧ buf = buf0 ∧ m = m0 ∧ (boolvar ↔ boolvar0); (s) Used formulas: n = vtblpnum0