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Proof step 19 from proof prepost-get-peb (previous step)

# apebs = # wlar, apebs0 = apebs, free-ecs(wlar) = ∅, q = eqent + q1, wlar0 = wlar, bflipset-cons(bflipset, wlar), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum0), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum0), valid-wl(apebs, wlar) ⊦ ⟪ubi_erase_worker_helper#(eqent.pnum; wlar, apebs; err); vtblpnum := eqent.pnum; q0 := q; if err = ESUCCESS then {q := q.tail; if wlar[vtblpnum].status ≠ free then err := ENOSPC} else err := ENOSPC⟫ ( (err = ESUCCESS ∨ ⌊err⌋ ) ∧ ( err ≠ ESUCCESS → # apebs = # wlar ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, sqnum) ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs, q) ∧ bflipset-cons(bflipset, wlar) ∧ valid-ebatbl(apebs, wlar, vols, vtblpnum0) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum0)) ∧ ubi-io-inv(apebs) ∧ q.lebrefs ⊆ q0.lebrefs ∧ id(apebs, apebs0, mapped-pebs(vols)) ∧ ( err = ESUCCESS → vtblpnum < # apebs ∧ wlar[vtblpnum].status = free ∧ ( apebs0 = apebs ∧ wlar0 = wlar ∧ q0 = q ∨ id○(apebs0, apebs, vtblpnum) ∧ id○(wlar0, wlar, vtblpnum) ∧ q0 ≠ [] ∧ q0 = eq-entry(vtblpnum, q0.head.lebref) ' + q) ∧ # apebs = # wlar ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, sqnum) ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs, q) ∧ bflipset-cons(bflipset, wlar) ∧ valid-ebatbl(apebs, wlar, vols, vtblpnum0) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum0))), q = [], VTBL_VOLID ∈ vols, vtblpnum0 ∈ q

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 20:
# apebs = # wlar, apebs0 = apebs, free-ecs(wlar) = ∅, wlar0 = wlar, bflipset-cons(bflipset, wlar), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum0), valid-eraseq(apebs, eqent ' + q1), valid-eraseq(wlar, eqent ' + q1), valid-eraseq(eqent ' + q1), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum0), valid-wl(apebs, wlar), ¬ vtblpnum0 ∈ q1, ¬ vtblpnum0 ∈ eqent ', ¬ VTBL_VOLID ∈ vols ⊦ ⟪ubi_erase_worker_helper#(eqent.pnum; wlar, apebs; err); vtblpnum := eqent.pnum; q0 := eqent ' + q1; q := eqent ' + q1; if err = ESUCCESS then {q := q.tail; if wlar[vtblpnum].status ≠ free then err := ENOSPC} else err := ENOSPC⟫ ( (err = ESUCCESS ∨ ⌊err⌋ ) ∧ ( err ≠ ESUCCESS → # apebs = # wlar ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, sqnum) ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs, q) ∧ bflipset-cons(bflipset, wlar) ∧ valid-ebatbl(apebs, wlar, vols, vtblpnum0) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum0)) ∧ ubi-io-inv(apebs) ∧ q.lebrefs ⊆ q0.lebrefs ∧ id(apebs, apebs0, mapped-pebs(vols)) ∧ ( err = ESUCCESS → vtblpnum < # apebs ∧ wlar[vtblpnum].status = free ∧ ( apebs0 = apebs ∧ wlar0 = wlar ∧ q0 = q ∨ id○(apebs0, apebs, vtblpnum) ∧ id○(wlar0, wlar, vtblpnum) ∧ q0 ≠ [] ∧ q0 = eq-entry(vtblpnum, q0.head.lebref) ' + q) ∧ # apebs = # wlar ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, sqnum) ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs, q) ∧ bflipset-cons(bflipset, wlar) ∧ valid-ebatbl(apebs, wlar, vols, vtblpnum0) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum0)))

Rule argument

Additional information

Used simplifier rules: lf-vtbl-info: ⊦ valid-vtbl(apebs, vols, wlar, n) ∧ valid-eraseq(wlar, q) → ¬ n ∈ q;% ⊦ n ∈ q0 + q1 ↔ n ∈ q0 ∨ n ∈ q1; (ss)%a: ⊦ (q + q0) + q1 = q + q0 + q1; from specification list[erasequeue-base]% ⊦ eqent ' + q ≠ []; (s)% ⊦ eqent + q = eqent ' + q; (s)