| # lebs(avol1, m7, lptlebs(# lpt0, LEB_SIZE)) = lptsize(# lpt0, LEB_SIZE), m8 + # lpt0 = # avol1, avol1[m10] = mapped(buf1), avol1[m5] = mapped(buf0), avol1[0] = mapped(buf2), err0 = ESUCCESS, m0 = LEB_SIZE, sb = mksb(adr0, m9, m10, m5, m6, m7, m8), m10 < # avol2, disk-layout(mksb(adr0, m9, m10, m5, m6, m7, m8), # lpt0), ebm-vol-inv(avol1), is-encoded(lpt0, lebs(avol1, m7, lptlebs(# lpt0, LEB_SIZE))), is-encoded(log0, buf1), is-encoded(mksb(adr0, m9, m10, m5, m6, m7, m8), buf2), is-encoded-pad(orphans0, m6, buf0), mapped-full?(avol1, m7, lptlebs(# lpt0, LEB_SIZE)), m7 + lptlebs(# lpt0, LEB_SIZE) ≤ # avol1, m8 ≤ # avol1, avol1 ⊆ avol2, m3 ≠ LEB_SIZE → # buf1 = m3, err0 = ESUCCESS → lpt0 = lpt1, err0 = ESUCCESS ∨ ⌊err0⌋ ⊦ ⟪logoff := m0; adr := sb.indexaddr; m2 := sb.maxino⟫ ( ( err0 = ESUCCESS → (∃ lpt1, log1, orphans1. disk-layout(sb, # lpt1) ∧ sb.main + # lpt1 = # avol1 ∧ is-encoded(sb, buf2) ∧ avol2[sb.orph].mapped? ∧ is-encoded-pad(orphans1, sb.orphsize, avol2[sb.orph].data) ∧ avol2[sb.log].mapped? ∧ (logoff ≠ LEB_SIZE → # avol2[sb.log].data = logoff) ∧ is-encoded(log1, avol2[sb.log].data) ∧ mapped-full?(avol2, sb.lpt, lptlebs(# lpt1, LEB_SIZE)) ∧ is-encoded(lpt1, lebs(avol2, sb.lpt, lptlebs(# lpt1, LEB_SIZE)))) ∧ m0 = LEB_SIZE) ∧ (err0 = ESUCCESS ∨ ⌊err0⌋ ) ∧ ( err0 = ESUCCESS → adr = adr0 ∧ m2 = m9 ∧ # lpt1 = # lpt0 ∧ is-encoded(lpt1, lebs(avol2, m7, lptlebs(# lpt1, LEB_SIZE))) ∧ lebs(avol2, m7, lptlebs(# lpt1, LEB_SIZE)) = lebs(avol1, m7, lptlebs(# lpt1, LEB_SIZE)))) |
# lebs(avol1, m7, lptlebs(# lpt0, LEB_SIZE)) = lptsize(# lpt0, LEB_SIZE), m8 + # lpt0 = # avol1, avol1[0] = mapped(buf2), avol1[m5] = mapped(buf0), avol1[m10] = mapped(buf1), err0 = ESUCCESS, m0 = LEB_SIZE, sb = mksb(adr0, m9, m10, m5, m6, m7, m8), m10 < # avol2, disk-layout(mksb(adr0, m9, m10, m5, m6, m7, m8), # lpt0), ebm-vol-inv(avol1), is-encoded(mksb(adr0, m9, m10, m5, m6, m7, m8), buf2), is-encoded(log0, buf1), is-encoded(lpt0, lebs(avol1, m7, lptlebs(# lpt0, LEB_SIZE))), is-encoded-pad(orphans0, m6, buf0), mapped-full?(avol1, m7, lptlebs(# lpt0, LEB_SIZE)), m8 ≤ # avol1, m7 + lptlebs(# lpt0, LEB_SIZE) ≤ # avol1, avol1 ⊆ avol2, err0 = ESUCCESS → lpt0 = lpt1, m3 ≠ LEB_SIZE → # buf1 = m3, err0 = ESUCCESS ∨ ⌊err0⌋ ⊦ ⟪adr := sb.indexaddr; m2 := sb.maxino⟫ ( ( err0 = ESUCCESS → (∃ lpt1, log1, orphans1. disk-layout(sb, # lpt1) ∧ sb.main + # lpt1 = # avol1 ∧ is-encoded(sb, buf2) ∧ avol2[sb.orph].mapped? ∧ is-encoded-pad(orphans1, sb.orphsize, avol2[sb.orph].data) ∧ avol2[sb.log].mapped? ∧ (m0 ≠ LEB_SIZE → # avol2[sb.log].data = m0) ∧ is-encoded(log1, avol2[sb.log].data) ∧ mapped-full?(avol2, sb.lpt, lptlebs(# lpt1, LEB_SIZE)) ∧ is-encoded(lpt1, lebs(avol2, sb.lpt, lptlebs(# lpt1, LEB_SIZE)))) ∧ m0 = LEB_SIZE) ∧ (err0 = ESUCCESS ∨ ⌊err0⌋ ) ∧ ( err0 = ESUCCESS → adr = adr0 ∧ m2 = m9 ∧ # lpt1 = # lpt0 ∧ is-encoded(lpt1, lebs(avol2, m7, lptlebs(# lpt1, LEB_SIZE))) ∧ lebs(avol2, m7, lptlebs(# lpt1, LEB_SIZE)) = lebs(avol1, m7, lptlebs(# lpt1, LEB_SIZE))))