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Proof step 269 from proof inv-recover (previous step)

# wlar1 = # wlar, # apebs0 = # wlar, avhdr0.sqn = valid-sqns(VTBL_VOLID, VTBL_LNUM, apebs0).max, VTBL_VOLID × VTBL_LNUM ∈ recs0 ∧ recs0[VTBL_VOLID × VTBL_LNUM].pnum = vtblpnum1 ↔ wlar[vtblpnum1].status = used ∧ vtblpnum1 < # wlar ∧ apebs0[vtblpnum1].vidhdr.vol = (VTBL_VOLID × VTBL_LNUM).vol ∧ apebs0[vtblpnum1].vidhdr.leb = (VTBL_VOLID × VTBL_LNUM).leb, wlar1[vtblpnum1] = wl-entry(m2, used), apebs0[vtblpnum1] = mkpeb(aechdr(m2), avhdr0, buf, m1, false), apebs0[m] = mkpeb(aehdr, avhdr, buf0, m0, boolvar), recs0[VTBL_VOLID × VTBL_LNUM] = recovery-entry(m, avhdr.sqn), vtblpnum1 < # wlar, nx < # wlar, bflipset-cons(bflipset, wlar), bflipset-cons(bflipset1, wlar1), indices-erasing(wlar, nx), is-encoded(to-vtbl(vols1), buf), ubi-io-inv(apebs0), ubi-io-peb-inv(mkpeb(aechdr(m2), avhdr0, buf, m1, 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-peb(VTBL_VOLID, VTBL_LNUM, mkpeb(aechdr(m2), avhdr0, buf, m1, false)), valid-recs-sqns(apebs0, recs0), valid-wl(apebs0, wlar), VTBL_VOLID × VTBL_LNUM ∈ recs0 ⊦ m = vtblpnum1, dups(nx), VTBL_VOLID ∈ vols1, vtblpnum1 ∈ q1, m ∈ q

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 270:
# wlar1 = # wlar, # apebs0 = # wlar, avhdr0.sqn = valid-sqns(VTBL_VOLID, VTBL_LNUM, apebs0).max, wlar1[vtblpnum1] = wl-entry(m2, used), apebs0[vtblpnum1] = mkpeb(aechdr(m2), avhdr0, buf, m1, false), apebs0[m] = mkpeb(aehdr, avhdr, buf0, m0, boolvar), recs0[VTBL_VOLID × VTBL_LNUM] = recovery-entry(m, avhdr.sqn), vtblpnum1 < # wlar, nx < # wlar, bflipset-cons(bflipset, wlar), bflipset-cons(bflipset1, wlar1), indices-erasing(wlar, nx), is-encoded(to-vtbl(vols1), buf), ubi-io-inv(apebs0), ubi-io-peb-inv(mkpeb(aechdr(m2), avhdr0, buf, m1, 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-peb(VTBL_VOLID, VTBL_LNUM, mkpeb(aechdr(m2), avhdr0, buf, m1, false)), valid-recs-sqns(apebs0, recs0), valid-wl(apebs0, wlar), VTBL_VOLID × VTBL_LNUM ∈ recs0 ⊦ wlar[vtblpnum1].status = used, m = vtblpnum1, dups(nx), VTBL_VOLID ∈ vols1, vtblpnum1 ∈ q1, m ∈ q

Rule argument

Additional information

Used simplifier rules: ⊦ valid-peb(v, m, mkpeb(aehdr, avhdr, buf, m0, boolvar)) → avhdr.leb = m; (s)%⊦ valid-peb(v, m, mkpeb(aehdr, avhdr, buf, m0, boolvar)) → avhdr.vol = v; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).vidhdr = avhdr; (s)% ⊦ recovery-entry(m, m0).pnum = m; (s)% ⊦ (v × m).leb = m; (s)% ⊦ (v × m).vol = v; (s)