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Proof step 364 from proof prepost-atomic-leb-change (previous step)

# apebs0 = # wlar, apebs0[m].vidhdr.leb = VTBL_LNUM, wlar[vtblpnum1, wl-entry(m0, erasing)][m].status = used, apebs0[m].vidhdr.vol = VTBL_VOLID, LEB_SIZE = n2 + n0, wlar[vtblpnum1] = wl-entry(m0, used), apebs0[n1] = mkpeb(aechdr(m2), empty, mkempbuf(LEB_SIZE), 0, false), wlar[n1] = wl-entry(m1, free), m < # wlar, vtblpnum1 < # wlar, n1 < # wlar, valid-sqns(VTBL_VOLID, VTBL_LNUM, apebs0).max < sqnum, bflipset-cons(bflipset -- vtblpnum1, wlar), bflipset-cons(bflipset, wlar), is-aligned(n0, EB_PAGE_SIZE), ubi-io-inv(apebs0), ubi-io-inv(apebs0[n1, mkpeb(aechdr(m2), avidhdr(VTBL_VOLID, VTBL_LNUM, sqnum, 0, 0), mkempbuf(LEB_SIZE), 0, false)]), unique-sqns(apebs0), valid-ebatbl(apebs0, wlar, vols, vtblpnum1), valid-eraseq(apebs0, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-eraseq(q + eq-entry(vtblpnum1, VTBL_VOLID × VTBL_LNUM) '), valid-global-sqn(apebs0, sqnum), valid-global-sqn(apebs0, sqnum + 1), valid-peb(mkpeb(aechdr(m2), avidhdr(VTBL_VOLID, VTBL_LNUM, sqnum, 0, 0), mkempbuf(LEB_SIZE), 0, false)), valid-vtbl(apebs0, vols, wlar, vtblpnum1), valid-wl(apebs0, wlar), n0 ≤ LEB_SIZE ⊦ m = n1, vtblpnum1 = n1, valid-wl (apebs0[n1, mkpeb(aechdr(m2), avidhdr(VTBL_VOLID, VTBL_LNUM, sqnum, 0, 0), mkempbuf(LEB_SIZE), 0, false)], wlar[vtblpnum1, wl-entry(m0, erasing)][n1, wl-entry(m1, used)]), VTBL_VOLID ∈ vols, vtblpnum1 ∈ q

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 365:
# apebs0 = # wlar, avhdr.leb = VTBL_LNUM, wlar[vtblpnum1, wl-entry(m0, erasing)][m].status = used, avhdr.vol = VTBL_VOLID, LEB_SIZE = n2 + n0, wlar[n1] = wl-entry(m1, free), apebs0[n1] = mkpeb(aechdr(m2), empty, mkempbuf(LEB_SIZE), 0, false), wlar[vtblpnum1] = wl-entry(m0, used), apebs0[m] = mkpeb(aehdr, avhdr, buf, m3, boolvar), valid-sqns(VTBL_VOLID, VTBL_LNUM, apebs0).max < sqnum, n1 < # wlar, vtblpnum1 < # wlar, m < # wlar, bflipset-cons(bflipset, wlar), bflipset-cons(bflipset -- vtblpnum1, wlar), is-aligned(n0, EB_PAGE_SIZE), ubi-io-inv(apebs0[n1, mkpeb(aechdr(m2), avidhdr(VTBL_VOLID, VTBL_LNUM, sqnum, 0, 0), mkempbuf(LEB_SIZE), 0, false)]), ubi-io-inv(apebs0), unique-sqns(apebs0), valid-ebatbl(apebs0, wlar, vols, vtblpnum1), valid-eraseq(q + eq-entry(vtblpnum1, VTBL_VOLID × VTBL_LNUM) '), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs0, q), valid-global-sqn(apebs0, sqnum + 1), valid-global-sqn(apebs0, sqnum), valid-peb(mkpeb(aechdr(m2), avidhdr(VTBL_VOLID, VTBL_LNUM, sqnum, 0, 0), mkempbuf(LEB_SIZE), 0, false)), valid-vtbl(apebs0, vols, wlar, vtblpnum1), valid-wl(apebs0, wlar), n0 ≤ LEB_SIZE ⊦ m = n1, vtblpnum1 = n1, valid-wl (apebs0[n1, mkpeb(aechdr(m2), avidhdr(VTBL_VOLID, VTBL_LNUM, sqnum, 0, 0), mkempbuf(LEB_SIZE), 0, false)], wlar[vtblpnum1, wl-entry(m0, erasing)][n1, wl-entry(m1, used)]), vtblpnum1 ∈ q, VTBL_VOLID ∈ vols

Rule argument

spec: apeb name: elim seq: ⊦ ( ( (aehdr = apeb.echdr ∧ avhdr = apeb.vidhdr) ∧ buf = apeb.data) ∧ m = apeb.fill) ∧ (boolvar ↔ apeb.bad) ↔ apeb = mkpeb(aehdr, avhdr, buf, m, boolvar) subst: [apeb, aehdr, avhdr, buf, m, boolvar] → [apebs0[m], aehdr, avhdr, buf, m3, boolvar]

Additional information

Used simplifier rules: ⊦ ( ((aehdr = apeb.echdr ∧ avhdr = apeb.vidhdr) ∧ buf = apeb.data) ∧ m = apeb.fill) ∧ (boolvar ↔ apeb.bad) ↔ apeb = mkpeb(aehdr, avhdr, buf, m, boolvar); (elim) Used terms: apebs0[m], aehdr, avhdr, buf, m3, boolvar