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Proof step 53 from proof prepost-get-peb (previous step)

# apebs = # wlar, wlar[m] = wl-entry(m0, stat), stat = free, m0 < free-ecs(wlar).min + WL_THRESHOLD, m < # wlar, bflipset-cons(bflipset, wlar), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum0), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum0), valid-wl(apebs, wlar) ⊦ ∀ vtblpnum. vtblpnum < # wlar ∧ wlar[vtblpnum].status = free ∧ wlar[vtblpnum].ec = below(free-ecs(wlar), free-ecs(wlar).min + WL_THRESHOLD).max → ⟪err := ESUCCESS⟫ ((err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → vtblpnum < # apebs)), # free-ecs(wlar) = 0, free-ecs(wlar) = ∅, VTBL_VOLID ∈ vols, vtblpnum0 ∈ q

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 54:
# apebs = # wlar, wlar[vtblpnum].ec = below(free-ecs(wlar), free-ecs(wlar).min + WL_THRESHOLD).max, apebs[m].fill = 0, wlar[vtblpnum].status = free, apebs[m].vidhdr = empty, wlar[m] = wl-entry(m0, free), # free-ecs(wlar) ≠ 0, free-ecs(wlar) ≠ ∅, vtblpnum0 ≠ m, apebs[m].echdr.valid?, m0 < free-ecs(wlar).min + WL_THRESHOLD, m < # wlar, vtblpnum < # wlar, bflipset-cons(bflipset, wlar), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum0), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum0), valid-wl(apebs, wlar), ¬ VTBL_VOLID ∈ vols, ¬ vtblpnum0 ∈ q ⊦ ⟪err := ESUCCESS⟫ (err = ESUCCESS ∨ ⌊err⌋ )

Rule argument

Additional information

Used simplifier rules: lf-valid-vtbl-neq-free: ⊦ wlar[m] = wl-entry(m0, free) ∧ valid-vtbl(apebs, vols, wlar, n) → n ≠ m;%lf-valid-wl-free-emptyvidhdr: n < # wlar, n < # apebs ⊦ wlar[n] = wl-entry(m, free) ∧ valid-wl(apebs, wlar) ∧ ubi-io-inv(apebs) → apebs[n].vidhdr = empty ∧ apebs[n].echdr.valid? ∧ apebs[n].fill = 0;%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic