| m5 + # lpt = # avol, avol[m1] = mapped(buf1), avol[m2] = mapped(buf0), avol[0] = mapped(buf), m6 < # lpt, disk-layout(mksb(adr, m0, m1, m2, m3, m4, m5), # lpt), ebm-vol-inv(avol), is-encoded(mksb(adr, m0, m1, m2, m3, m4, m5), buf), is-encoded(lpt, lebs(avol, m4, lptlebs(# lpt, LEB_SIZE))), is-encoded(log, buf1), is-encoded-pad(orphans, m3, buf0), mapped-full?(avol, m4, lptlebs(# lpt, LEB_SIZE)), logoff ≠ LEB_SIZE → # buf1 = logoff, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ [avol[m5 + m6] := unmapped] ( ebm-vol-inv(avol) → (∃ lpt0, log, orphans. disk-layout(mksb(adr, m0, m1, m2, m3, m4, m5), # lpt0) ∧ m5 + # lpt0 = # avol ∧ avol[0].mapped? ∧ is-encoded(mksb(adr, m0, m1, m2, m3, m4, m5), avol[0].data) ∧ avol[m2].mapped? ∧ is-encoded-pad(orphans, m3, avol[m2].data) ∧ avol[m1].mapped? ∧ (logoff ≠ LEB_SIZE → # avol[m1].data = logoff) ∧ is-encoded(log, avol[m1].data) ∧ mapped-full?(avol, m4, lptlebs(# lpt0, LEB_SIZE)) ∧ is-encoded(lpt0, lebs(avol, m4, lptlebs(# lpt0, LEB_SIZE))))), err0 = ESUCCESS |
m5 + # lpt = # avol, avol[0] = mapped(buf), avol[m2] = mapped(buf0), avol[m1] = mapped(buf1), m5 + m6 < # avol, m6 < # lpt, disk-layout(mksb(adr, m0, m1, m2, m3, m4, m5), # lpt), ebm-vol-inv(avol[m5 + m6, unmapped]), ebm-vol-inv(avol), is-encoded(log, buf1), is-encoded(lpt, lebs(avol, m4, lptlebs(# lpt, LEB_SIZE))), is-encoded(mksb(adr, m0, m1, m2, m3, m4, m5), buf), is-encoded-pad(orphans, m3, buf0), mapped-full?(avol, m4, lptlebs(# lpt, LEB_SIZE)), logoff ≠ LEB_SIZE → # buf1 = logoff, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ err0 = ESUCCESS, ∃ lpt0, log, orphans. disk-layout(mksb(adr, m0, m1, m2, m3, m4, m5), # lpt0) ∧ m5 + # lpt0 = # avol[m5 + m6, unmapped] ∧ avol[m5 + m6, unmapped][0].mapped? ∧ is-encoded(mksb(adr, m0, m1, m2, m3, m4, m5), avol[m5 + m6, unmapped][0].data) ∧ avol[m5 + m6, unmapped][m2].mapped? ∧ is-encoded-pad(orphans, m3, avol[m5 + m6, unmapped][m2].data) ∧ avol[m5 + m6, unmapped][m1].mapped? ∧ (logoff ≠ LEB_SIZE → # avol[m5 + m6, unmapped][m1].data = logoff) ∧ is-encoded(log, avol[m5 + m6, unmapped][m1].data) ∧ mapped-full?(avol[m5 + m6, unmapped], m4, lptlebs(# lpt0, LEB_SIZE)) ∧ is-encoded(lpt0, lebs(avol[m5 + m6, unmapped], m4, lptlebs(# lpt0, LEB_SIZE)))