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Proof step 6 from proof delta-wear-leveling (previous step)

# apebs = # wlar, apebs1 = apebs, bflipset = ∅, q1 = q, vols1 = vols, wlar0 = wlar, ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, n0), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs, n1), valid-vtbl(apebs, vols, wlar, n0), valid-wl(apebs, wlar), ¬ VTBL_VOLID ∈ vols ⊦ [ubi_wear_leveling_worker#(LEB_SIZE, EB_PAGE_SIZE; vols, wlar, q, bflipset, n0, n1, apebs; err)] ( # apebs = # wlar ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, n1) ∧ 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, n0) ∧ valid-vtbl(apebs, vols, wlar, n0) ∧ ubi-io-inv(apebs) ∧ ( vols1 = vols ∧ id(apebs, apebs1, mapped-pebs(vols)) ∧ q.lebrefs ⊆ q1.lebrefs ++ (VTBL_VOLID × VTBL_LNUM) ∨ (∃ v, m, n. v ∈ vols1 ∧ m < # vols1[v] ∧ vols1[v][m] ≠ unmapped ∧ vols = vols1[v, vols1[v][m, ⌜n⌝ ]] ∧ id(apebs, apebs1, mapped-pebs(vols1) -- vols1[v][m].pnum) ∧ apebs[n].data = apebs1[vols1[v][m].pnum].data ∧ apebs[n].fill ≤ apebs1[vols1[v][m].pnum].fill ∧ q.lebrefs ⊆ q1.lebrefs ++ (v × m))) → err = ESUCCESS → Δ wlar < Δ wlar0)

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 7:
# apebs = # wlar, apebs1 = apebs, bflipset = ∅, q1 = q, sqnum = n1, vols1 = vols, vtblpnum1 = n0, vtblpnum2 = EB_PAGE_SIZE, vtblpnum3 = LEB_SIZE, wlar0 = wlar, ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, n0), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs, n1), valid-vtbl(apebs, vols, wlar, n0), valid-wl(apebs, wlar) ⊦ [let boolvar = ?, vtblpnum0 = ?, vtblpnum = ? in {ubi_get_pebs_for_wl#(wlar; vtblpnum0, vtblpnum, bflipset; boolvar); if boolvar then let avhdr = ?, bitflips = ? in {aubi_io_read_vidhdr#(vtblpnum, apebs; avhdr; bitflips, err); if err = ESUCCESS then let buf = mkbuf(vtblpnum3) in {aubi_io_read_data#(vtblpnum, 0, 0, vtblpnum3, apebs; buf; bitflips, err); if err = ESUCCESS then ubi_atomic_leb_change# (avhdr.vol, avhdr.leb, vtblpnum0, vtblpnum3, buf, vtblpnum2; vols, wlar, q, bflipset, vtblpnum1, sqnum, apebs; err); if err ≠ ESUCCESS then debug#("ubi: wear-leveling of PEB " + vtblpnum.toString + " to PEB " + vtblpnum0.toString + " failed"); if err = ESUCCESS then {ubi_erase_worker_helper#(vtblpnum; wlar, apebs; err); if err = ESUCCESS then q := q.butlast}}} else err := ENOSPC}] ( # 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, vtblpnum1) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum1) ∧ ubi-io-inv(apebs) ∧ ( vols1 = vols ∧ id(apebs, apebs1, mapped-pebs(vols)) ∧ q.lebrefs ⊆ q1.lebrefs ++ (VTBL_VOLID × VTBL_LNUM) ∨ (∃ v, m, n. v ∈ vols1 ∧ m < # vols1[v] ∧ vols1[v][m] ≠ unmapped ∧ vols = vols1[v, vols1[v][m, ⌜n⌝ ]] ∧ id(apebs, apebs1, mapped-pebs(vols1) -- vols1[v][m].pnum) ∧ apebs[n].data = apebs1[vols1[v][m].pnum].data ∧ apebs[n].fill ≤ apebs1[vols1[v][m].pnum].fill ∧ q.lebrefs ⊆ q1.lebrefs ++ (v × m))) → err = ESUCCESS → Δ wlar < Δ wlar0), VTBL_VOLID ∈ vols

Rule argument

pos: right 1

Additional information

Used simplifier rules: ubi_wear_leveling_worker# (LEBSIZE, PAGESIZE ; VOLS, WLARRAY, ERASEQ, BFLIPSET, VTBLPNUM, SQNUM, APEBS ; ERR ) {let VALID = ?, TO = ?, FROM = ? in {ubi_get_pebs_for_wl#(WLARRAY; TO, FROM, BFLIPSET; VALID); if VALID then let AVHDR = ?, BITFLIPS = ? in {aubi_io_read_vidhdr#(FROM, APEBS; AVHDR; BITFLIPS, ERR); if ERR = ESUCCESS then let BUF = mkbuf(LEBSIZE) in {aubi_io_read_data# (FROM, 0, 0, LEBSIZE, APEBS; BUF; BITFLIPS, ERR); if ERR = ESUCCESS then ubi_atomic_leb_change# (AVHDR.vol, AVHDR.leb, TO, LEBSIZE, BUF, PAGESIZE ; VOLS, WLARRAY, ERASEQ, BFLIPSET, VTBLPNUM, SQNUM, APEBS ; ERR); if ERR ≠ ESUCCESS then debug# ( "ubi: wear-leveling of PEB " + FROM.toString + " to PEB " + TO.toString + " failed"); if ERR = ESUCCESS then {ubi_erase_worker_helper# (FROM; WLARRAY, APEBS; ERR); if ERR = ESUCCESS then ERASEQ := ERASEQ.butlast}}} else ERR := ENOSPC} };