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Proof step 9 from proof inv-create-volume (previous step)

# apebs = # wlar, apebs0 = apebs, q0 = q, vols0 = vols, vtblpnum0 = vtblpnum3, vtblpnum1 = EB_PAGE_SIZE, vtblpnum2 = LEB_SIZE, bflipset-cons(bflipset, wlar), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum3), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum3), valid-wl(apebs, wlar) ⊦ ⟪ubi_erase_all#(vols, bflipset, vtblpnum0, sqnum; wlar, q, apebs; err); if err = ESUCCESS then {ubi_wl_get_peb#(; vtblpnum, wlar, q, apebs; err); if err = ESUCCESS then let vtbl = to-vtbl(vols) in {vtbl[v] := n; let buf = mkbuf(vtblpnum2), vtbl = to-vtbl(vols) in {vtbl[v] := n; encode_vtbl#(; vtbl, buf; err); if err = ESUCCESS then {ubi_atomic_leb_change# (VTBL_VOLID, VTBL_LNUM, vtblpnum, vtblpnum2, buf, vtblpnum1; vols, wlar, q, bflipset, vtblpnum0, sqnum, apebs; err); if err = ESUCCESS then {vols[v] := mkebatbl(n); vols[v] := fill(vols[v], unmapped)}}}}}⟫ ( # 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, vtblpnum0) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum0) ∧ ubi-io-inv(apebs) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ id(apebs, apebs0, mapped-pebs(vols)) ∧ (err = ESUCCESS → ¬ v ∈ vols0 ∧ vols = vols0[v, fill(mkebatbl(n), unmapped)] ∧ q.lebrefs ⊆ ∅ ++ (VTBL_VOLID × VTBL_LNUM)) ∧ (err ≠ ESUCCESS → q.lebrefs ⊆ q0.lebrefs ∧ vols = vols0)), v = VTBL_VOLID, ENCODED_NAT_SIZE + (# vols + 1) * (ENCODED_VOLID_SIZE + ENCODED_NAT_SIZE) > vtblpnum2, vtblpnum3 ∈ q, VTBL_VOLID ∈ vols, v ∈ vols

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
# apebs = # wlar, apebs0 = apebs, q0 = q, v ≠ VTBL_VOLID, bflipset-cons(bflipset, wlar), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum3), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum3), valid-wl(apebs, wlar), 2 * ENCODED_NAT_SIZE + (ENCODED_VOLID_SIZE + ENCODED_NAT_SIZE) * # vols + ENCODED_VOLID_SIZE ≤ LEB_SIZE, ¬ v ∈ vols, ¬ VTBL_VOLID ∈ vols, ¬ vtblpnum3 ∈ q ⊦ ⟪ubi_erase_all#(vols, bflipset, vtblpnum3, sqnum; wlar, q, apebs; err); vols0 := vols; if err = ESUCCESS then {ubi_wl_get_peb#(; vtblpnum, wlar, q, apebs; err); if err = ESUCCESS then let vtbl = to-vtbl(vols) in {vtbl[v] := n; let buf = mkbuf(LEB_SIZE), vtbl = to-vtbl(vols) in {vtbl[v] := n; encode_vtbl#(; vtbl, buf; err); if err = ESUCCESS then {ubi_atomic_leb_change# (VTBL_VOLID, VTBL_LNUM, vtblpnum, LEB_SIZE, buf, EB_PAGE_SIZE; vols, wlar, q, bflipset, vtblpnum3, sqnum, apebs; err); if err = ESUCCESS then {vols[v] := mkebatbl(n); vols[v] := fill(vols[v], unmapped)}}}}}⟫ ( # 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, vtblpnum3) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum3) ∧ ubi-io-inv(apebs) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ id(apebs, apebs0, mapped-pebs(vols)) ∧ (err = ESUCCESS → ¬ v ∈ vols0 ∧ vols = vols0[v, fill(mkebatbl(n), unmapped)] ∧ q.lebrefs ⊆ ∅ ++ (VTBL_VOLID × VTBL_LNUM)) ∧ (err ≠ ESUCCESS → q.lebrefs ⊆ q0.lebrefs ∧ vols = vols0))

Rule argument

Additional information

Used simplifier rules: lf-vtbl-info: ⊦ valid-vtbl(apebs, vols, wlar, n) ∧ valid-eraseq(wlar, q) → ¬ n ∈ q;% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ m > n ↔ n < m; (s)% ⊦ m + m = 2 * m; (s)%mult-c: ⊦ m * n = n * m; from specification nat-mult%mult-a: ⊦ m0 * m * n = (m0 * m) * n; from specification nat-mult%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m * (n + 1) = m * n + m; (s)