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Proof step 15 from proof inv-recover (previous step)

# apebs0 = # wlar1, apebs1 = apebs0, recs = ∅, bflipset-cons(bflipset1, wlar1), ubi-io-inv(apebs0), unique-sqns(apebs0), valid-ebatbl(apebs0, wlar1, vols1, vtblpnum1), valid-eraseq(apebs0, q1), valid-eraseq(wlar1, q1), valid-eraseq(q1), valid-global-sqn(apebs0, vtblpnum5), valid-vtbl(apebs0, vols1, wlar1, vtblpnum1), valid-wl(apebs0, wlar1) ⊦ [ubi_scan_all#(LEB_SIZE, apebs0; recs, wlar, q, bflipset, sqnum; vtblpnum0, vtblpnum, nx, err)] ( scan-all-inv(# apebs1, apebs1, recs, wlar, q, bflipset, nx, sqnum, err) → ⟪if ¬ VTBL_VOLID × VTBL_LNUM ∈ recs then err := EINVAL; vols := ∅; vtblpnum2 := LEB_SIZE; if err = ESUCCESS then let buf = mkbuf(vtblpnum2), bitflips = ? in {vtblpnum3 := recs[VTBL_VOLID × VTBL_LNUM].pnum; aubi_io_read_data#(vtblpnum3, 0, 0, vtblpnum2, apebs0; buf; bitflips, err); if bitflips then bflipset := bflipset ++ vtblpnum3; if err = ESUCCESS then let vtbl = ? in {decode_vtbl#(buf; ; vtbl, err); if err = ESUCCESS then {ubi_init_vols_sizes#(recs, wlar, apebs0; vtbl, vols); ubi_init_vols_mappings#(vtblpnum3, apebs0; recs, vols, wlar, q, bflipset); let n = (vtblpnum0 = 0 ⊃ 0;vtblpnum / vtblpnum0) in ubi_fix_ecs#(n; nx, wlar)}}}⟫ ( ( err = ESUCCESS → # wlar1 = # wlar ∧ valid-global-sqn(apebs0, sqnum) ∧ valid-wl(apebs0, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs0, q) ∧ ¬ VTBL_VOLID ∈ vols ∧ bflipset-cons(bflipset, wlar) ∧ valid-ebatbl(apebs0, wlar, vols, vtblpnum3) ∧ valid-vtbl(apebs0, vols, wlar, vtblpnum3) ∧ vtblpnum2 = LEB_SIZE) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → is-max(apebs0, vols, wlar, q, bflipset, vtblpnum3, sqnum) ∧ q.lebrefs ⊆ q1.lebrefs ∧ vols1 ⊆ vols ∧ vols⌈vols1, q1⌉))), VTBL_VOLID ∈ vols1, vtblpnum1 ∈ q1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 16:
# apebs0 = # wlar1, recs = ∅, bflipset-cons(bflipset1, wlar1), ubi-io-inv(apebs0), unique-sqns(apebs0), valid-ebatbl(apebs0, wlar1, vols1, vtblpnum1), valid-eraseq(q1), valid-eraseq(wlar1, q1), valid-eraseq(apebs0, q1), valid-global-sqn(apebs0, vtblpnum5), valid-vtbl(apebs0, vols1, wlar1, vtblpnum1), valid-wl(apebs0, wlar1), ¬ vtblpnum1 ∈ q1, ¬ VTBL_VOLID ∈ vols1 ⊦ [ubi_scan_all#(LEB_SIZE, apebs0; recs, wlar, q, bflipset, sqnum; vtblpnum0, vtblpnum, nx, err)] ( (err = ESUCCESS ∨ ⌊err⌋ ) ∧ ( err = ESUCCESS → # wlar1 = # wlar ∧ ¬ dups(nx) ∧ nx < # wlar1 ∧ indices-erasing(wlar, nx) ∧ valid-global-sqn(apebs0, sqnum) ∧ valid-eraseq(wlar, q) ∧ bflipset-cons(bflipset, wlar) ∧ valid-eraseq-stronger(apebs0, q) ∧ valid-wl(apebs0, wlar) ∧ valid-recs-sqns(apebs0, recs) ∧ valid-recs(apebs0, wlar, recs)) → ⟪if ¬ VTBL_VOLID × VTBL_LNUM ∈ recs then err := EINVAL; vols := ∅; vtblpnum2 := LEB_SIZE; if err = ESUCCESS then let buf = mkbuf(vtblpnum2), bitflips = ? in {vtblpnum3 := recs[VTBL_VOLID × VTBL_LNUM].pnum; aubi_io_read_data#(vtblpnum3, 0, 0, vtblpnum2, apebs0; buf; bitflips, err); if bitflips then bflipset := bflipset ++ vtblpnum3; if err = ESUCCESS then let vtbl = ? in {decode_vtbl#(buf; ; vtbl, err); if err = ESUCCESS then {ubi_init_vols_sizes#(recs, wlar, apebs0; vtbl, vols); ubi_init_vols_mappings#(vtblpnum3, apebs0; recs, vols, wlar, q, bflipset); let n = (vtblpnum0 = 0 ⊃ 0;vtblpnum / vtblpnum0) in ubi_fix_ecs#(n; nx, wlar)}}}⟫ ( ( err = ESUCCESS → # wlar1 = # wlar ∧ valid-global-sqn(apebs0, sqnum) ∧ valid-wl(apebs0, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs0, q) ∧ ¬ VTBL_VOLID ∈ vols ∧ bflipset-cons(bflipset, wlar) ∧ valid-ebatbl(apebs0, wlar, vols, vtblpnum3) ∧ valid-vtbl(apebs0, vols, wlar, vtblpnum3) ∧ vtblpnum2 = LEB_SIZE) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → is-max(apebs0, vols, wlar, q, bflipset, vtblpnum3, sqnum) ∧ q.lebrefs ⊆ q1.lebrefs ∧ vols1 ⊆ vols ∧ vols⌈vols1, q1⌉)))

Rule argument

Additional information

Used simplifier rules: # wlar = n ⊦ subarray(wlar, 0, n) = wlar; (s)%# apebs = n ⊦ subarray(apebs, 0, n) = apebs; (s)% ⊦ m ≤ m; (s)%⊦ scan-all-inv(n, apebs, recs, wlar, q, bflipset, nx, n1, err) ↔ ¬ ¬ ( n ≤ # apebs ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ ( err = ESUCCESS → ubi-io-inv(apebs) ∧ unique-sqns(apebs) ∧ # apebs = # wlar ∧ ¬ dups(nx) ∧ nx < n ∧ indices-erasing(wlar, nx) ∧ valid-global-sqn(subarray(apebs, 0, n), n1) ∧ valid-eraseq(subarray(wlar, 0, n), q) ∧ bflipset-cons(bflipset, subarray(wlar, 0, n)) ∧ valid-eraseq-stronger(subarray(apebs, 0, n), q) ∧ valid-wl(subarray(apebs, 0, n), subarray(wlar, 0, n)) ∧ valid-recs-sqns(apebs, recs) ∧ valid-recs (subarray(apebs, 0, n), subarray(wlar, 0, n), recs))); (s)