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Proof step 17 from proof inv-create-volume (previous step)

# apebs1 = # wlar0, # apebs = # wlar, err = ESUCCESS, vols0 = vols, bflipset-cons(bflipset, wlar0), bflipset-cons(bflipset, wlar), id(apebs1, apebs, mapped-pebs(vols)), ubi-io-inv(apebs1), ubi-io-inv(apebs), unique-sqns(apebs1), unique-sqns(apebs), valid-ebatbl(apebs1, wlar0, vols, vtblpnum3), valid-ebatbl(apebs, wlar, vols, vtblpnum3), valid-eraseq(q1), valid-eraseq(wlar0, q1), valid-eraseq(apebs1, q1), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs1, sqnum), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs1, vols, wlar0, vtblpnum3), valid-vtbl(apebs, vols, wlar, vtblpnum3), valid-wl(apebs1, wlar0), valid-wl(apebs, wlar), 2 * ENCODED_NAT_SIZE + (ENCODED_VOLID_SIZE + ENCODED_NAT_SIZE) * # vols + ENCODED_VOLID_SIZE ≤ LEB_SIZE, q1 ⊆ q, err = ESUCCESS → q1 = [], err = ESUCCESS ∨ ⌊err⌋ ⊦ ⟪ubi_wl_get_peb#(; vtblpnum, wlar0, q1, apebs1; 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, wlar0, q1, bflipset, vtblpnum3, sqnum, apebs1; err); if err = ESUCCESS then {vols[v] := mkebatbl(n); vols[v] := fill(vols[v], unmapped)}}}}⟫ ( # apebs1 = # wlar0 ∧ unique-sqns(apebs1) ∧ valid-global-sqn(apebs1, sqnum) ∧ valid-wl(apebs1, wlar0) ∧ valid-eraseq(q1) ∧ valid-eraseq(wlar0, q1) ∧ valid-eraseq(apebs1, q1) ∧ ¬ VTBL_VOLID ∈ vols ∧ bflipset-cons(bflipset, wlar0) ∧ valid-ebatbl(apebs1, wlar0, vols, vtblpnum3) ∧ valid-vtbl(apebs1, vols, wlar0, vtblpnum3) ∧ ubi-io-inv(apebs1) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ id(apebs1, apebs, mapped-pebs(vols)) ∧ (err = ESUCCESS → ¬ v ∈ vols0 ∧ vols = vols0[v, fill(mkebatbl(n), unmapped)] ∧ q1.lebrefs ⊆ ∅ ++ (VTBL_VOLID × VTBL_LNUM)) ∧ (err ≠ ESUCCESS → q1.lebrefs ⊆ q.lebrefs ∧ vols = vols0)), v = VTBL_VOLID, vtblpnum3 ∈ q1, vtblpnum3 ∈ q, VTBL_VOLID ∈ vols, v ∈ vols

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
# apebs = # wlar, # apebs1 = # wlar0, q1 = [], v ≠ VTBL_VOLID, bflipset-cons(bflipset, wlar), bflipset-cons(bflipset, wlar0), id(apebs1, apebs, mapped-pebs(vols)), ubi-io-inv(apebs), ubi-io-inv(apebs1), unique-sqns(apebs), unique-sqns(apebs1), valid-ebatbl(apebs, wlar, vols, vtblpnum3), valid-ebatbl(apebs1, wlar0, vols, vtblpnum3), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-eraseq(wlar0, []), valid-global-sqn(apebs, sqnum), valid-global-sqn(apebs1, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum3), valid-vtbl(apebs1, vols, wlar0, vtblpnum3), valid-wl(apebs, wlar), valid-wl(apebs1, wlar0), 2 * ENCODED_NAT_SIZE + (ENCODED_VOLID_SIZE + ENCODED_NAT_SIZE) * # vols + ENCODED_VOLID_SIZE ≤ LEB_SIZE, ¬ v ∈ vols, ¬ VTBL_VOLID ∈ vols, ¬ vtblpnum3 ∈ q ⊦ ⟪ubi_wl_get_peb#(; vtblpnum, wlar0, q1, apebs1; err); vols0 := vols; 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, wlar0, q1, bflipset, vtblpnum3, sqnum, apebs1; err); if err = ESUCCESS then {vols[v] := mkebatbl(n); vols[v] := fill(vols[v], unmapped)}}}}⟫ ( # apebs1 = # wlar0 ∧ unique-sqns(apebs1) ∧ valid-global-sqn(apebs1, sqnum) ∧ valid-wl(apebs1, wlar0) ∧ valid-eraseq(q1) ∧ valid-eraseq(wlar0, q1) ∧ valid-eraseq(apebs1, q1) ∧ ¬ VTBL_VOLID ∈ vols ∧ bflipset-cons(bflipset, wlar0) ∧ valid-ebatbl(apebs1, wlar0, vols, vtblpnum3) ∧ valid-vtbl(apebs1, vols, wlar0, vtblpnum3) ∧ ubi-io-inv(apebs1) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ id(apebs1, apebs, mapped-pebs(vols)) ∧ (err = ESUCCESS → ¬ v ∈ vols0 ∧ vols = vols0[v, fill(mkebatbl(n), unmapped)] ∧ q1.lebrefs ⊆ ∅ ++ (VTBL_VOLID × VTBL_LNUM)) ∧ (err ≠ ESUCCESS → q1.lebrefs ⊆ q.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;% ⊦ ¬ n ∈ []; (s)% ⊦ [] ⊆ q; (s)% ⊦ valid-eraseq(apebs, []); (s)% ⊦ valid-eraseq([]); (s)