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Proof step 39 from proof inv-recover (previous step)

# wlar1 = # wlar, # apebs0 = # wlar, apebs0[vtblpnum1] = mkpeb(aehdr, avhdr, buf1, m0, boolvar), recs0[VTBL_VOLID × VTBL_LNUM] = recovery-entry(vtblpnum1, avhdr.sqn), apebs = apebs0, buf = mkbuf(LEB_SIZE), buf0 = buf, n = LEB_SIZE, n0 = 0, vtblpnum = 0, vtblpnum0 = vtblpnum1, nx < # wlar, bflipset-cons(bflipset, wlar), bflipset-cons(bflipset1, wlar1), indices-erasing(wlar, nx), ubi-io-inv(apebs0), ubi-io-read-data-pre(vtblpnum0, vtblpnum, n0, n, buf0, apebs), unique-sqns(apebs0), valid-ebatbl(apebs0, wlar1, vols1, vtblpnum1), valid-eraseq(wlar, q), valid-eraseq(apebs0, q1), valid-eraseq(wlar1, q1), valid-eraseq(q1), valid-eraseq-stronger(apebs0, q), valid-global-sqn(apebs0, sqnum), valid-global-sqn(apebs0, vtblpnum5), valid-recs(apebs0, wlar, recs0), valid-recs-sqns(apebs0, recs0), valid-vtbl(apebs0, vols1, wlar1, vtblpnum1), valid-wl(apebs0, wlar), valid-wl(apebs0, wlar1), VTBL_VOLID × VTBL_LNUM ∈ recs0 ⊦ ⟪fail_or_success#(; ; err); bitflips := ?; if err = ESUCCESS then buf0 := copy(apebs[vtblpnum0].data, vtblpnum, buf0, n0, n) else choose buf with # buf = # buf0 ∧ range=(buf, 0, buf0, 0, n0) ∧ range=(buf, n0 + n, buf0, n0 + n, # buf0 - n0 + n) in buf0 := buf; vtblpnum3 := vtblpnum1; if bitflips then bflipset := bflipset ++ vtblpnum3; vols := ∅; if err = ESUCCESS then let vtbl = ? in {decode_vtbl#(buf0; ; vtbl, err); if err = ESUCCESS then {ubi_init_vols_sizes#(recs0, wlar, apebs0; vtbl, vols); ubi_init_vols_mappings#(vtblpnum3, apebs0; recs0, vols, wlar, q, bflipset); let n = (vtblpnum0 = 0 ⊃ 0;vtblpnum / vtblpnum0) in ubi_fix_ecs#(n; nx, wlar)}}⟫ ( ( err = ESUCCESS → # wlar1 = # wlar ∧ 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)) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → is-max(apebs0, vols, wlar, q, bflipset, vtblpnum3, sqnum) ∧ q.lebrefs ⊆ q1.lebrefs ∧ vols1 ⊆ vols ∧ vols⌈vols1, q1⌉)), dups(nx), vtblpnum1 ∈ q, VTBL_VOLID ∈ vols1, vtblpnum1 ∈ q1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 40:
# apebs0 = # wlar, # wlar1 = # wlar, recs0[VTBL_VOLID × VTBL_LNUM] = recovery-entry(vtblpnum1, avhdr.sqn), apebs0[vtblpnum1] = mkpeb(aehdr, avhdr, buf1, m0, false), nx < # wlar, vtblpnum1 < # wlar, bflipset-cons(bflipset1, wlar1), bflipset-cons(bflipset, wlar), indices-erasing(wlar, nx), ubi-io-inv(apebs0), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf1, m0, false)), unique-sqns(apebs0), valid-ebatbl(apebs0, wlar1, vols1, vtblpnum1), valid-eraseq(q1), valid-eraseq(wlar1, q1), valid-eraseq(apebs0, q1), valid-eraseq(wlar, q), valid-eraseq-stronger(apebs0, q), valid-global-sqn(apebs0, vtblpnum5), valid-global-sqn(apebs0, sqnum), valid-recs(apebs0, wlar, recs0), valid-recs-sqns(apebs0, recs0), valid-vtbl(apebs0, vols1, wlar1, vtblpnum1), valid-wl(apebs0, wlar1), valid-wl(apebs0, wlar), VTBL_VOLID × VTBL_LNUM ∈ recs0, ¬ dups(nx), ¬ vtblpnum1 ∈ q1, ¬ VTBL_VOLID ∈ vols1, ¬ vtblpnum1 ∈ q ⊦ ⟪fail_or_success#(; ; err); bitflips := ?; vtblpnum0 := vtblpnum1; vtblpnum := 0; buf := mkbuf(LEB_SIZE); if err = ESUCCESS then buf := copy(apebs0[vtblpnum0].data, vtblpnum, buf, 0, LEB_SIZE) else {n0 := 0; n := LEB_SIZE; choose buf1 with # buf1 = # buf ∧ range=(buf1, 0, buf, 0, n0) ∧ range=(buf1, n0 + n, buf, n0 + n, # buf - n0 + n) in buf := buf1}; vtblpnum3 := vtblpnum1; if bitflips then bflipset := bflipset ++ vtblpnum3; vols := ∅; if err = ESUCCESS then let vtbl = ? in {decode_vtbl#(buf; ; vtbl, err); if err = ESUCCESS then {ubi_init_vols_sizes#(recs0, wlar, apebs0; vtbl, vols); ubi_init_vols_mappings#(vtblpnum3, apebs0; recs0, vols, wlar, q, bflipset); let n = (vtblpnum0 = 0 ⊃ 0;vtblpnum / vtblpnum0) in ubi_fix_ecs#(n; nx, wlar)}}⟫ ( ( err = ESUCCESS → # wlar1 = # wlar ∧ 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)) ∧ (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: ubi-io-inv-fwd: n < # apebs ⊦ apebs[n] = apeb ∧ ubi-io-inv(apebs) → ubi-io-peb-inv(apeb);% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).bad ↔ boolvar; (s)% ⊦ m < n → n ≠ 0; (s)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m < n → (n ≤ m ↔ false); (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ # mkbuf(n) = n; (s)% ⊦ m ≤ m; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ n + 0 = n; (s)%⊦ ubi-io-read-data-pre(n, n0, m0, n1, buf, apebs) ↔ n < # apebs ∧ ¬ apebs[n].bad ∧ n0 + n1 ≤ LEB_SIZE ∧ m0 + n1 ≤ # buf; (s)