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Proof step 5 from proof inv-recover (previous step)

m8 + # lpt0 = # avol, avol[m1] = mapped(buf1), avol[m5] = mapped(buf0), avol[0] = mapped(buf), disk-layout(mksb(adr0, m0, m1, m5, m6, m7, m8), # lpt0), ebm-vol-inv(avol), is-encoded(mksb(adr0, m0, m1, m5, m6, m7, m8), buf), is-encoded(lpt0, lebs(avol, m7, lptlebs(# lpt0, LEB_SIZE))), is-encoded(log0, buf1), is-encoded-pad(orphans0, m6, buf0), mapped-full?(avol, m7, lptlebs(# lpt0, LEB_SIZE)), avol ⊆ avol0, m ≠ LEB_SIZE → # buf1 = m ⊦ ⟪persistence_io_recover#(; adr, m2, orphans, log, lpt, sb0, logoff, m3, m4, avol0; err)⟫ ( ( err = ESUCCESS → (∃ lpt1, log1, orphans1. disk-layout(sb0, # lpt1) ∧ sb0.main + # lpt1 = # avol0 ∧ avol0[0].mapped? ∧ is-encoded(sb0, avol0[0].data) ∧ avol0[sb0.orph].mapped? ∧ is-encoded-pad(orphans1, sb0.orphsize, avol0[sb0.orph].data) ∧ avol0[sb0.log].mapped? ∧ (logoff ≠ LEB_SIZE → # avol0[sb0.log].data = logoff) ∧ is-encoded(log1, avol0[sb0.log].data) ∧ mapped-full?(avol0, sb0.lpt, lptlebs(# lpt1, LEB_SIZE)) ∧ is-encoded(lpt1, lebs(avol0, sb0.lpt, lptlebs(# lpt1, LEB_SIZE)))) ∧ m3 = EB_PAGE_SIZE ∧ m4 = LEB_SIZE ∧ ebm-vol-inv(avol0)) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ ( err = ESUCCESS → sb0 = mksb(adr0, m0, m1, m5, m6, m7, m8) ∧ # avol0 = # avol ∧ adr = adr0 ∧ m2 = m0 ∧ # lpt = # avol0 - m8 ∧ is-encoded(lpt, lebs(avol0, m7, lptlebs(# avol0 - m8, LEB_SIZE))) ∧ lebs(avol0, m7, lptlebs(# avol0 - m8, LEB_SIZE)) = lebs(avol, m7, lptlebs(# avol0 - m8, LEB_SIZE)) ∧ is-encoded(log, avol0[m1].data) ∧ is-encoded-pad(orphans, m6, avol0[m5].data) ∧ avol0[m5] = avol[m5] ∧ avol0[m1] = avol[m1]))

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 6:
m8 + # lpt0 = # avol1, avol1[0] = mapped(buf), avol1[m5] = mapped(buf0), avol1[m10] = mapped(buf1), avol = avol0, m0 = m4, m1 = m3, sb = sb0, disk-layout(mksb(adr0, m9, m10, m5, m6, m7, m8), # lpt0), ebm-vol-inv(avol1), is-encoded(log0, buf1), is-encoded(lpt0, lebs(avol1, m7, lptlebs(# lpt0, LEB_SIZE))), is-encoded(mksb(adr0, m9, m10, m5, m6, m7, m8), buf), is-encoded-pad(orphans0, m6, buf0), mapped-full?(avol1, m7, lptlebs(# lpt0, LEB_SIZE)), avol1 ⊆ avol0, m ≠ LEB_SIZE → # buf1 = m ⊦ ⟪ebm_avol_recover#(; avol; err); if err ≠ ESUCCESS then debug#("persistence-io: ubi recover failed") else let m = ? in {ebm_avol_get_leb_size#(avol; ; m0); ebm_avol_get_page_size#(avol; ; m1); ebm_avol_get_volume_size#(avol; ; m); persistence_io_read_superblock#(m1, m0, avol; sb; err); if err ≠ ESUCCESS then debug#("persistence-io: reading superblock failed"); if err = ESUCCESS then {persistence_io_read_log#(sb, m1, m0, avol; logoff; log, err); if err ≠ ESUCCESS then debug#("persistence-io: reading log failed")}; if err = ESUCCESS then {persistence_io_read_orphans#(sb, avol; orphans; err); if err ≠ ESUCCESS then debug#("persistence-io: reading orphans failed")}; if err = ESUCCESS then {m := m - sb.main; let buf = ? in {persistence_io_read_lebs#(sb.lpt, lptlebs(m, m0), m0, avol; ; buf, err); if err = ESUCCESS then {lpt := mklparray(m); lpt := fill(lpt, mklp(0, 0, LP_FREE, 0)); persistence_io_decode_lpt#(buf; lpt, err)}; if err ≠ ESUCCESS then debug#("persistence-io: reading LPT failed")}}; if err = ESUCCESS then {logoff := m0; adr := sb.indexaddr; m2 := sb.maxino}}⟫ ( ( err = ESUCCESS → (∃ lpt1, log1, orphans1. disk-layout(sb, # lpt1) ∧ sb.main + # lpt1 = # avol ∧ avol[0].mapped? ∧ is-encoded(sb, avol[0].data) ∧ avol[sb.orph].mapped? ∧ is-encoded-pad(orphans1, sb.orphsize, avol[sb.orph].data) ∧ avol[sb.log].mapped? ∧ (logoff ≠ LEB_SIZE → # avol[sb.log].data = logoff) ∧ is-encoded(log1, avol[sb.log].data) ∧ mapped-full?(avol, sb.lpt, lptlebs(# lpt1, LEB_SIZE)) ∧ is-encoded(lpt1, lebs(avol, sb.lpt, lptlebs(# lpt1, LEB_SIZE)))) ∧ m1 = EB_PAGE_SIZE ∧ m0 = LEB_SIZE ∧ ebm-vol-inv(avol)) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ ( err = ESUCCESS → sb = mksb(adr0, m9, m10, m5, m6, m7, m8) ∧ # avol = # avol1 ∧ adr = adr0 ∧ m2 = m9 ∧ # lpt = # avol - m8 ∧ is-encoded(lpt, lebs(avol, m7, lptlebs(# avol - m8, LEB_SIZE))) ∧ lebs(avol, m7, lptlebs(# avol - m8, LEB_SIZE)) = lebs(avol1, m7, lptlebs(# avol - m8, LEB_SIZE)) ∧ is-encoded(log, avol[m10].data) ∧ is-encoded-pad(orphans, m6, avol[m5].data) ∧ avol[m5] = avol1[m5] ∧ avol[m10] = avol1[m10]))

Rule argument

pos: right 1

Additional information

Used simplifier rules: recover: ⊦ ;