| # avol0 = # lpt + m6, avol0[m6 + m8] = mapped(buf0), avol0[m2] = mapped(buf3), avol0[m3] = mapped(buf2), avol0[0] = mapped(buf1), avol = subarray(avol0, m6, # lpt), n3 ≠ 0, m8 < # lpt, n3 < n, disk-layout(mksb(adr, m7, m2, m3, m4, m5, m6), # lpt), ebm-vol-inv(avol0), ebm-vol-inv(subarray(avol0, m6, # lpt)), is-aligned(n4 + # buf0, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), is-aligned(n3, EB_PAGE_SIZE), is-encoded(log, buf3), is-encoded(lpt, lebs(avol0, m5, lptlebs(# lpt, LEB_SIZE))), is-encoded(mksb(adr, m7, m2, m3, m4, m5, m6), buf1), is-encoded-pad(orphans, m4, buf2), mapped-full?(avol0, m5, lptlebs(# lpt, LEB_SIZE)), n0 + n ≤ # buf, n0 + n3 ≤ # buf, n4 + # buf0 + n ≤ LEB_SIZE, ⌊err1⌋ , logoff ≠ LEB_SIZE → # buf3 = logoff ⊦ (¬ n1 < n ∨ ¬ is-aligned(n1, EB_PAGE_SIZE)) ∧ ⟨skip⟩ ( subarray(avol0, m6, # lpt) = subarray(avol0, m6, # lpt)[m8, mapped(avol0[m6 + m8].data + mkempbuf(n4) + subarray(buf, n0, n3))] ∧ is-encoded(log, avol0[m6 + m8, mapped(avol0[m6 + m8].data + mkempbuf(n4) + subarray(buf, n0, n3))][m2].data) ∧ is-encoded-pad(orphans, m4, avol0[m3].data)), ∃ n2. n2 < n ∧ is-aligned(n2, EB_PAGE_SIZE) ∧ ⟨if n2 ≠ 0 then avol[m8] := mapped(avol[m8].data + mkempbuf(n4 + # avol0[m6 + m8].data - # avol[m8].data) + subarray(buf, n0, n2))⟩ ( avol = subarray(avol0, m6, # lpt)[m8, mapped(avol0[m6 + m8].data + mkempbuf(n4) + subarray(buf, n0, n3))] ∧ is-encoded(log, avol0[m6 + m8, mapped(avol0[m6 + m8].data + mkempbuf(n4) + subarray(buf, n0, n3))][m2].data) ∧ is-encoded-pad(orphans, m4, avol0[m3].data)) |
# avol0 = # lpt + m6, avol0[0] = mapped(buf1), avol0[m3] = mapped(buf2), avol0[m2] = mapped(buf3), avol0[m6 + m8] = mapped(buf0), avol = subarray(avol0, m6, # lpt), n3 < n, m8 < # lpt, disk-layout(mksb(adr, m7, m2, m3, m4, m5, m6), # lpt), ebm-vol-inv(subarray(avol0, m6, # lpt)), ebm-vol-inv(avol0), is-aligned(n3, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), is-aligned(n4 + # buf0, EB_PAGE_SIZE), is-encoded(mksb(adr, m7, m2, m3, m4, m5, m6), buf1), is-encoded(lpt, lebs(avol0, m5, lptlebs(# lpt, LEB_SIZE))), is-encoded(log, buf3), is-encoded-pad(orphans, m4, buf2), mapped-full?(avol0, m5, lptlebs(# lpt, LEB_SIZE)), n4 + # buf0 + n ≤ LEB_SIZE, n0 + n3 ≤ # buf, n0 + n ≤ # buf, ⌊err1⌋ , logoff ≠ LEB_SIZE → # buf3 = logoff ⊦ ∃ n2. n2 < n ∧ is-aligned(n2, EB_PAGE_SIZE) ∧ ⟨if n2 ≠ 0 then avol[m8] := mapped(avol[m8].data + mkempbuf(n4 + # avol0[m6 + m8].data - # avol[m8].data) + subarray(buf, n0, n2))⟩ ( avol = subarray(avol0, m6, # lpt)[m8, mapped(avol0[m6 + m8].data + mkempbuf(n4) + subarray(buf, n0, n3))] ∧ is-encoded(log, avol0[m6 + m8, mapped(avol0[m6 + m8].data + mkempbuf(n4) + subarray(buf, n0, n3))][m2].data) ∧ is-encoded-pad(orphans, m4, avol0[m3].data)), n3 = 0