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Proof step 78 from proof inv-recover (previous step)

# wlar1 = # wlar, # apebs0 = # wlar, avhdr.leb = VTBL_LNUM, avhdr.vol = VTBL_VOLID, apebs0[vtblpnum1] = mkpeb(aehdr, avhdr, buf1, m0, false), recs0[VTBL_VOLID × VTBL_LNUM] = recovery-entry(vtblpnum1, avhdr.sqn), wlar1[vtblpnum1] = wl-entry(m, stat), stat = used, vtblpnum1 < # wlar, nx < # wlar, bflipset-cons(bflipset, wlar), bflipset-cons(bflipset1, wlar1), bflipset-cons(bflipset0, wlar), indices-erasing(wlar, nx), is-encoded(to-vtbl(vols1), buf1), 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(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-wl(apebs0, wlar), valid-wl(apebs0, wlar1), VTBL_VOLID × VTBL_LNUM ∈ recs0 ⊦ dups(nx), vtblpnum1 ∈ q1, VTBL_VOLID ∈ vols1, vtblpnum1 ∈ q, valid-peb(VTBL_VOLID, VTBL_LNUM, mkpeb(aehdr, avhdr, buf1, m0, false)) ∧ avhdr.sqn = valid-sqns(VTBL_VOLID, VTBL_LNUM, apebs0).max

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 79:
# apebs0 = # wlar, # wlar1 = # wlar, avhdr.leb = VTBL_LNUM, avhdr.vol = VTBL_VOLID, wlar1[vtblpnum1] = wl-entry(m, used), 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), is-encoded(to-vtbl(vols1), buf1), 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-wl(apebs0, wlar1), valid-wl(apebs0, wlar), VTBL_VOLID × VTBL_LNUM ∈ recs0 ⊦ dups(nx), vtblpnum1 ∈ q, VTBL_VOLID ∈ vols1, vtblpnum1 ∈ q1, valid-peb(VTBL_VOLID, VTBL_LNUM, mkpeb(aehdr, avhdr, buf1, m0, false)) ∧ avhdr.sqn = valid-sqns(VTBL_VOLID, VTBL_LNUM, apebs0).max

Rule argument

Additional information

Used simplifier rules: lf-valid-wl-not-erroneous: n < # wlar, stat ≠ erroneous ⊦ apebs[n] = mkpeb(aehdr, avhdr, buf, m, boolvar) ∧ wlar[n] = wl-entry(m0, stat) ∧ valid-wl(apebs, wlar) → ¬ boolvar;% ⊦ used ≠ erroneous; (s)