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Proof step 23 from proof inv-wl-worker (previous step)

# apebs = # wlar, wlar[vtblpnum0] = wl-entry(m0, free), wlar[vtblpnum] = wl-entry(m1, used), apebs[vtblpnum0] = mkpeb(aehdr, empty, mkempbuf(LEB_SIZE), 0, false), vtblpnum4 ≠ vtblpnum0, aehdr.valid?, vtblpnum0 < # wlar, vtblpnum < # wlar, bflipset-cons(bflipset0, wlar), bflipset-cons(bflipset, wlar), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum4), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum4), valid-wl(apebs, wlar), ¬ VTBL_VOLID ∈ vols, ¬ vtblpnum4 ∈ q, bflipset = ∅ → m1 + WL_THRESHOLD ≤ m0 ⊦ ⟪aubi_io_read_vidhdr#(vtblpnum, apebs; avhdr; bitflips, err); vols0 := vols; q0 := q; apebs0 := apebs; if err = ESUCCESS then let buf = mkbuf(LEB_SIZE) in {aubi_io_read_data#(vtblpnum, 0, 0, LEB_SIZE, apebs; buf; bitflips, err); if err = ESUCCESS then ubi_atomic_leb_change# (avhdr.vol, avhdr.leb, vtblpnum0, LEB_SIZE, buf, EB_PAGE_SIZE; vols, wlar, q, bflipset0, vtblpnum4, 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}}⟫ ( # 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(bflipset0, wlar) ∧ valid-ebatbl(apebs, wlar, vols, vtblpnum4) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum4) ∧ ubi-io-inv(apebs) ∧ ( vols0 = vols ∧ id(apebs, apebs0, mapped-pebs(vols)) ∧ q.lebrefs ⊆ q0.lebrefs ++ (VTBL_VOLID × VTBL_LNUM) ∨ (∃ v, m, n. v ∈ vols0 ∧ m < # vols0[v] ∧ vols0[v][m] ≠ unmapped ∧ vols = vols0[v, vols0[v][m, ⌜n⌝ ]] ∧ id(apebs, apebs0, mapped-pebs(vols0) -- vols0[v][m].pnum) ∧ apebs[n].data = apebs0[vols0[v][m].pnum].data ∧ apebs[n].fill ≤ apebs0[vols0[v][m].pnum].fill ∧ q.lebrefs ⊆ q0.lebrefs ++ (v × m))))

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 24:
# apebs = # wlar, apebs[vtblpnum0] = mkpeb(aehdr, empty, mkempbuf(LEB_SIZE), 0, false), wlar[vtblpnum] = wl-entry(m1, used), wlar[vtblpnum0] = wl-entry(m0, free), aehdr.valid?, vtblpnum < # wlar, vtblpnum0 < # wlar, bflipset-cons(bflipset, wlar), bflipset-cons(bflipset0, wlar), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum4), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum4), valid-wl(apebs, wlar), bflipset = ∅ → m1 + WL_THRESHOLD ≤ m0 ⊦ ⟪if ubi-io-read-vidhdr-pre(vtblpnum, apebs) then {fail_or_success#(; ; err); bitflips := ?; if err = ESUCCESS then avhdr := apebs[vtblpnum].vidhdr else avhdr := ?} else abort; vols0 := vols; q0 := q; apebs0 := apebs; if err = ESUCCESS then let buf = mkbuf(LEB_SIZE) in {aubi_io_read_data#(vtblpnum, 0, 0, LEB_SIZE, apebs; buf; bitflips, err); if err = ESUCCESS then ubi_atomic_leb_change# (avhdr.vol, avhdr.leb, vtblpnum0, LEB_SIZE, buf, EB_PAGE_SIZE; vols, wlar, q, bflipset0, vtblpnum4, 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}}⟫ ( # 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(bflipset0, wlar) ∧ valid-ebatbl(apebs, wlar, vols, vtblpnum4) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum4) ∧ ubi-io-inv(apebs) ∧ ( vols0 = vols ∧ id(apebs, apebs0, mapped-pebs(vols)) ∧ q.lebrefs ⊆ q0.lebrefs ++ (VTBL_VOLID × VTBL_LNUM) ∨ (∃ v, m, n. v ∈ vols0 ∧ m < # vols0[v] ∧ vols0[v][m] ≠ unmapped ∧ vols = vols0[v, vols0[v][m, ⌜n⌝ ]] ∧ id(apebs, apebs0, mapped-pebs(vols0) -- vols0[v][m].pnum) ∧ apebs[n].data = apebs0[vols0[v][m].pnum].data ∧ apebs[n].fill ≤ apebs0[vols0[v][m].pnum].fill ∧ q.lebrefs ⊆ q0.lebrefs ++ (v × m)))), vtblpnum4 = vtblpnum0, VTBL_VOLID ∈ vols, vtblpnum4 ∈ q

Rule argument

pos: right 1

Additional information

Used simplifier rules: aubi_io_read_vidhdr#(PNUM, APEBS; AVHDR; BITFLIPS, ERR) {if ubi-io-read-vidhdr-pre(PNUM, APEBS) then {fail_or_success#(; ; ERR); BITFLIPS := ?; if ERR = ESUCCESS then AVHDR := APEBS[PNUM].vidhdr else AVHDR := ?} else abort };