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Proof step 5 from proof refine-create-volume (previous step)

# apebs = # wlar, EB_PAGE_SIZE = EB_PAGE_SIZE, LEB_SIZE = LEB_SIZE, apebs = apebs, apebs1 = apebs, n0 = n, q = q, q1 = q, v0 = v, vols = vols, vols1 = vols, vtblpnum2 = LEB_SIZE, vtblpnum3 = EB_PAGE_SIZE, abs(avols, apebs, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols), ubi-cons(apebs, vols, wlar, q, bflipset, vtblpnum, sqnum), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum), valid-wl(apebs, wlar) ⊦ [ubi_create_volume#(v, n, LEB_SIZE, EB_PAGE_SIZE; vols, wlar, q, bflipset, vtblpnum, sqnum, apebs; err)] ( ubi-cons(apebs, vols, wlar, q, bflipset, vtblpnum, sqnum) ∧ ubi-io-inv(apebs) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ id(apebs, apebs1, mapped-pebs(vols)) ∧ (err = ESUCCESS → ¬ v0 ∈ vols1 ∧ vols = vols1[v0, fill(mkebatbl(n0), unmapped)] ∧ q.lebrefs ⊆ {VTBL_VOLID × VTBL_LNUM} ) ∧ (err ≠ ESUCCESS → q.lebrefs ⊆ q1.lebrefs ∧ vols = vols1) → ⟨ebm_create_volume#(v, n; avols; err0)⟩ (abs(avols, apebs, vols, q) ∧ err = err0)), v ∈ avols, VTBL_VOLID ∈ vols

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
# apebs = # wlar, apebs1 = apebs, q1 = q, vols1 = vols, abs(avols, apebs, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum), valid-wl(apebs, wlar), ¬ VTBL_VOLID ∈ vols, ¬ v ∈ avols ⊦ [ubi_create_volume#(v, n, LEB_SIZE, EB_PAGE_SIZE; vols, wlar, q, bflipset, vtblpnum, sqnum, apebs; err)] ( # 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) ∧ ¬ VTBL_VOLID ∈ vols ∧ bflipset-cons(bflipset, wlar) ∧ valid-ebatbl(apebs, wlar, vols, vtblpnum) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum) ∧ ubi-io-inv(apebs) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ id(apebs, apebs1, mapped-pebs(vols)) ∧ (err = ESUCCESS → ¬ v ∈ vols1 ∧ vols = vols1[v, fill(mkebatbl(n), unmapped)] ∧ q.lebrefs ⊆ ∅ ++ (VTBL_VOLID × VTBL_LNUM)) ∧ (err ≠ ESUCCESS → q.lebrefs ⊆ q1.lebrefs ∧ vols = vols1) → ⟨ebm_create_volume#(v, n; avols; err0)⟩ (abs(avols, apebs, vols, q) ∧ err = err0))

Rule argument

Additional information

Used simplifier rules: ⊦ {lref} = ∅ ++ lref; (s)%⊦ 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)