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Proof step 59 from proof inv-recover (previous step)

# apebs0 = # wlar, # wlar1 = # wlar, recs0[VTBL_VOLID × VTBL_LNUM] = recovery-entry(vtblpnum1, avhdr.sqn), apebs0[vtblpnum1] = mkpeb(aehdr, avhdr, buf1, m0, false), buf = mkbuf(LEB_SIZE), err = ESUCCESS, err = err0, vols = ∅, vtblpnum = 0, vtblpnum0 = vtblpnum1, vtblpnum3 = vtblpnum1, nx < # wlar, vtblpnum1 < # wlar, vtblpnum0 < # apebs0, bflipset-cons(bflipset0, 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, 0 + LEB_SIZE ≤ # buf, vtblpnum + LEB_SIZE ≤ # apebs0[vtblpnum0].data, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟪decode_vtbl#(copy(apebs0[vtblpnum0].data, vtblpnum, buf, 0, LEB_SIZE); ; 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, bflipset0); 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(bflipset0, wlar) ∧ valid-ebatbl(apebs0, wlar, vols, vtblpnum3) ∧ valid-vtbl(apebs0, vols, wlar, vtblpnum3)) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → is-max(apebs0, vols, wlar, q, bflipset0, 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 60:
# 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(bflipset0, 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 ∈ q, ¬ VTBL_VOLID ∈ vols1, ¬ vtblpnum1 ∈ q1 ⊦ ⟪decode_vtbl#(copy(apebs0[vtblpnum1].data, 0, mkbuf(LEB_SIZE), 0, LEB_SIZE); ; vtbl, err0); vols := ∅; if err0 = ESUCCESS then {ubi_init_vols_sizes#(recs0, wlar, apebs0; vtbl, vols); ubi_init_vols_mappings#(vtblpnum1, apebs0; recs0, vols, wlar, q, bflipset0); let n = 0 in ubi_fix_ecs#(n; nx, wlar)}⟫ ( ( err0 = ESUCCESS → # wlar1 = # wlar ∧ valid-wl(apebs0, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs0, q) ∧ ¬ VTBL_VOLID ∈ vols ∧ bflipset-cons(bflipset0, wlar) ∧ valid-ebatbl(apebs0, wlar, vols, vtblpnum1) ∧ valid-vtbl(apebs0, vols, wlar, vtblpnum1)) ∧ (err0 = ESUCCESS ∨ ⌊err0⌋ ) ∧ (err0 = ESUCCESS → is-max(apebs0, vols, wlar, q, bflipset0, vtblpnum1, sqnum) ∧ q.lebrefs ⊆ q1.lebrefs ∧ vols1 ⊆ vols ∧ vols⌈vols1, q1⌉))

Rule argument

Additional information

Used simplifier rules: ⊦ ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf, n, boolvar)) → # buf = LEB_SIZE; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).data = buf; (s)%n ≠ 0 ⊦ 0 / n = 0; (s)% ⊦ ¬ ⌊ESUCCESS⌋ ; (s)% ⊦ m ≤ m; (s)% ⊦ # mkbuf(n) = n; (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)