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Proof step 2 from proof prepost-erase-worker-helper (previous step)

apebs = apebs0, wlar = wlar0, m < # wlar, ubi-cons(apebs, vols, wlar, q0 + eq-entry(m, lref) ' + q1, bflipset, vtblpnum, sqnum), ubi-io-inv(apebs) ⊦ ⟪ubi_erase_worker_helper#(m; wlar, apebs; err)⟫ ( (err = ESUCCESS → ubi-cons(apebs, vols, wlar, q0 + q1, bflipset, vtblpnum, sqnum)) ∧ (err ≠ ESUCCESS → ubi-cons(apebs, vols, wlar, q0 + eq-entry(m, lref) ' + q1, bflipset, vtblpnum, sqnum)) ∧ ubi-io-inv(apebs) ∧ wlar[m].status ≠ used ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ id○(wlar, wlar0, m) ∧ id○(apebs, apebs0, m) ∧ id(apebs, apebs0, mapped-pebs(vols)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
# apebs0 = # wlar0, wlar0[m].status = erasing, apebs = apebs0, wlar = wlar0, vtblpnum ≠ m, m < # wlar0, bflipset-cons(bflipset, wlar0), ubi-io-inv(apebs0), unique-sqns(apebs0), valid-ebatbl(apebs0, wlar0, vols, vtblpnum), valid-eraseq(apebs0, q0 + eq-entry(m, lref) ' + q1), valid-eraseq(wlar0, q0 + eq-entry(m, lref) ' + q1), valid-eraseq(q0 + eq-entry(m, lref) ' + q1), valid-global-sqn(apebs0, sqnum), valid-vtbl(apebs0, vols, wlar0, vtblpnum), valid-wl(apebs0, wlar0), ¬ VTBL_VOLID ∈ vols, ¬ vtblpnum ∈ q0, ¬ vtblpnum ∈ q1 ⊦ ⟪ubi_erase_worker_helper#(m; wlar, apebs; err)⟫ ( ( err = ESUCCESS → # apebs = # wlar ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, sqnum) ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(wlar, q0 + q1) ∧ valid-eraseq(apebs, q0 + q1) ∧ bflipset-cons(bflipset, wlar) ∧ valid-ebatbl(apebs, wlar, vols, vtblpnum) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum)) ∧ ( err ≠ ESUCCESS → # apebs = # wlar ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, sqnum) ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(wlar, q0 + eq-entry(m, lref) ' + q1) ∧ valid-eraseq(apebs, q0 + eq-entry(m, lref) ' + q1) ∧ bflipset-cons(bflipset, wlar) ∧ valid-ebatbl(apebs, wlar, vols, vtblpnum) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum)) ∧ ubi-io-inv(apebs) ∧ wlar[m].status ≠ used ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ id○(wlar, wlar0, m) ∧ id○(apebs, apebs0, m) ∧ id(apebs, apebs0, mapped-pebs(vols)))

Rule argument

Additional information

Used simplifier rules: lf-vtbl-info: ⊦ valid-vtbl(apebs, vols, wlar, n) ∧ valid-eraseq(wlar, q) → ¬ n ∈ q;%lf-valid-eraseq-middle-wlar: ⊦ valid-eraseq(wlar, q0 + eq-entry(m, lref) ' + q1) → m < # wlar;% ⊦ n ∈ eq-entry(n0, lref) ' + q ↔ n ∈ q ∨ n = n0; (ss)% ⊦ n ∈ q0 + q1 ↔ n ∈ q0 ∨ n ∈ q1; (ss)% ⊦ m < n → n ≠ 0; (s)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%valid-eraseqp-in0: ⊦ valid-eraseq(wlar, q0 + eq-entry(n, lref) ' + q1) → wlar[n].status = erasing; (forward) from specification ubi-base% ⊦ valid-eraseq(q0 + eqent ' + q1) → valid-eraseq(q0 + q1); (ss)%a: ⊦ (q + q0) + q1 = q + q0 + q1; from specification list[erasequeue-base]%⊦ ubi-cons(apebs, vols, wlar, q, bflipset, n0, n1) ↔ # apebs = # wlar ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, n1) ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs, q) ∧ ¬ VTBL_VOLID ∈ vols ∧ bflipset-cons(bflipset, wlar) ∧ valid-ebatbl(apebs, wlar, vols, n0) ∧ valid-vtbl(apebs, vols, wlar, n0); (s)