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Proof step 116 from proof inv-format (previous step)

# wlar = n0 + vtblpnum0, # apebs0 = n0 + vtblpnum0, apebs0[vtblpnum2] = mkpeb(aehdr0, avhdr, buf, m, false), apebs0[vtblpnum0] = mkpeb(aehdr1, avhdr0, buf0, m0, false), vtblpnum0 < # apebs0, vtblpnum2 < n0 + vtblpnum0, ubi-io-initial(apebs0), ∀ 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, vtblpnum2 = n0 + vtblpnum0, apebs0[vtblpnum0].echdr.valid?, vtblpnum0 + 1 ≤ # apebs0 ∧ # wlar = # apebs0 ∧ (∀ n3. n3 < vtblpnum0 + 1 → (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)) ∧ ¬ apebs0[vtblpnum2].bad ∧ # apebs0 < n0 + vtblpnum0 + 1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 117:
# wlar = n0 + vtblpnum0, # apebs0 = n0 + vtblpnum0, apebs0[vtblpnum2] = mkpeb(aehdr0, avhdr, buf, m, false), apebs0[vtblpnum0] = mkpeb(aehdr1, avhdr0, buf0, m0, false), vtblpnum2 < n0 + vtblpnum0, ubi-io-initial(apebs0), n ≤ vtblpnum0, ∀ 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, vtblpnum2 = n0 + vtblpnum0, aehdr1.valid?, (apebs0[n].bad → wlar[n] = wl-entry(0, erroneous)) ∧ (¬ apebs0[n].bad → apebs0[n].echdr.valid? ∧ wlar[n] = wl-entry(apebs0[n].echdr.ec, free) ∧ apebs0[n].vidhdr = empty)

Rule argument

Additional information

Used simplifier rules: ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ ¬ n < n; (s)% ⊦ m + n < m + n0 ↔ n < n0; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).bad ↔ boolvar; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).echdr = aehdr; (s)% ⊦ m < m + n ↔ n ≠ 0; (s)% ⊦ m < n + 1 ↔ ¬ n < m; (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)