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