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Proof step 12 from proof refine-commit (previous step)

# avol0 = # lpt2 + m6, # lpt = # lpt2, avol0[m1] = mapped(buf1), avol0[m2] = mapped(buf0), avol0[0] = mapped(buf), avol = subarray(avol0, m6, # lpt2), avol1 = avol0, orphans = ns0, sb = mksb(adr0, m0, m1, m2, m4, m5, m6), disk-layout(mksb(adr0, m0, m1, m2, m4, m5, m6), # lpt2), ebm-vol-inv(subarray(avol0, m6, # lpt2)), ebm-vol-inv(avol0), is-encoded(mksb(adr0, m0, m1, m2, m4, m5, m6), buf), is-encoded(lpt2, lebs(avol0, m5, lptlebs(# lpt2, LEB_SIZE))), is-encoded(plog, buf1), is-encoded-pad(ns, m4, buf0), mapped-full?(avol0, m5, lptlebs(# lpt2, LEB_SIZE)), m6 ≤ # avol0, logoff ≠ LEB_SIZE → # buf1 = logoff ⊦ [persistence_io_commit#(lpt, adr1, m3, EB_PAGE_SIZE, LEB_SIZE; orphans, sb, avol0, logoff; err)] ( (∃ lpt0, log, orphans0. disk-layout(sb, # lpt0) ∧ sb.main + # lpt0 = # avol0 ∧ avol0[0].mapped? ∧ is-encoded(sb, avol0[0].data) ∧ avol0[sb.orph].mapped? ∧ is-encoded-pad(orphans0, sb.orphsize, avol0[sb.orph].data) ∧ avol0[sb.log].mapped? ∧ (logoff ≠ LEB_SIZE → # avol0[sb.log].data = logoff) ∧ is-encoded(log, avol0[sb.log].data) ∧ mapped-full?(avol0, sb.lpt, lptlebs(# lpt0, LEB_SIZE)) ∧ is-encoded(lpt0, lebs(avol0, sb.lpt, lptlebs(# lpt0, LEB_SIZE)))) ∧ ebm-vol-inv(avol0) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ ( err = ESUCCESS → sb.indexaddr = adr1 ∧ sb.maxino = m3 ∧ avol0[sb.log].data = mkbuf(0) ∧ is-encoded(lpt, lebs(avol0, sb.lpt, lptlebs(# avol0 - sb.main, LEB_SIZE))) ∧ is-encoded-pad(ns0, sb.orphsize, avol0[sb.orph].data)) ∧ ( err ≠ ESUCCESS → sb = mksb(adr0, m0, m1, m2, m4, m5, sb.main) ∧ avol0[m1] = avol1[m1] ∧ avol0[m2] = avol1[m2] ∧ lebs(avol0, m5, lptlebs(# avol0 - sb.main, LEB_SIZE)) = lebs(avol1, m5, lptlebs(# avol0 - sb.main, LEB_SIZE))) ∧ sb.main = m6 ∧ # avol0 = # avol1 ∧ subarray(avol0, sb.main, # avol0 - sb.main) = subarray(avol1, sb.main, # avol0 - sb.main) → ⟨apersistence_io_commit#(lpt, adr1, m3, avol; ns0, adr0, m0, plog, lpt2, ns; err0)⟩ ( m0 = sb.maxino ∧ adr0 = sb.indexaddr ∧ # avol0 = sb.main + (# avol0 - sb.main) ∧ avol = subarray(avol0, sb.main, # avol0 - sb.main) ∧ is-encoded(plog, avol0[sb.log].data) ∧ is-encoded(lpt2, lebs(avol0, sb.lpt, lptlebs(# avol0 - sb.main, LEB_SIZE))) ∧ is-encoded-pad(ns, sb.orphsize, avol0[sb.orph].data) ∧ orphans = ns0 ∧ err = err0))

User applied rule skip call

And obtained the following new goals

Rule argument

pos: right 1

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