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Proof step 32 from proof inv-recover (previous step)

# wlar1 = # wlar, # apebs0 = # wlar, recs0[VTBL_VOLID × VTBL_LNUM] = recovery-entry(m, m0), buf = mkbuf(LEB_SIZE), nx < # wlar, bflipset-cons(bflipset, wlar), bflipset-cons(bflipset1, wlar1), indices-erasing(wlar, nx), ubi-io-inv(apebs0), 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 ⊦ ⟪aubi_io_read_data#(m, 0, 0, LEB_SIZE, apebs0; buf; bitflips, err); vtblpnum3 := m; 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⌉)), dups(nx), vtblpnum1 ∈ q1, VTBL_VOLID ∈ vols1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 33:
# wlar1 = # wlar, # apebs0 = # wlar, recs0[VTBL_VOLID × VTBL_LNUM] = recovery-entry(m, apebs0[m].vidhdr.sqn), buf = mkbuf(LEB_SIZE), nx < # wlar, bflipset-cons(bflipset, wlar), bflipset-cons(bflipset1, wlar1), indices-erasing(wlar, nx), ubi-io-inv(apebs0), 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, ¬ dups(nx), ¬ m ∈ q, ¬ vtblpnum1 ∈ q1, ¬ VTBL_VOLID ∈ vols1 ⊦ ⟪aubi_io_read_data#(m, 0, 0, LEB_SIZE, apebs0; buf; bitflips, err); vtblpnum3 := m; 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: lf-valid-recs-notin-eraseq: ⊦ v × m ∈ recs ∧ recs[v × m] = recovery-entry(n0, n1) ∧ valid-recs(apebs, wlar, recs) ∧ valid-eraseq(wlar, q) → ¬ n0 ∈ q;%lf-valid-recs-sqns-vidhdr: ⊦ v × m ∈ recs ∧ recs[v × m] = recovery-entry(n0, n1) ∧ valid-recs-sqns(apebs, recs) → apebs[n0].vidhdr.sqn = n1;