| # lpt2 = # avol1, # avol0 = # avol1, # lpt1 = # avol1, # buf = EB_PAGE_SIZE, adr = adr3, lpt = lpt1, m = m5, ns = ns4, plog = plog0, abs(avol1, bleb, mkwbuf(buf, m1, m2), avol0, rofs), awbuf-inv(avol1, bleb), ebm-vol-inv(avol0), synced(avol1), ⌊err0⌋ , bleb ≠ nobuffer → bleb.leb < # avol1 ∧ wbuf-cons(mkwbuf(buf, m1, m2), avol0[bleb.leb], rofs) ⊦ ⟨awbuf_commit#(lpt2, adr2, m3, avol1, bleb; ns2, adr3, m5, plog0, lpt1, ns4, rofs; err1)⟩ (abs(avol1, bleb, mkwbuf(buf, m1, m2), avol0, true) ∧ adr3 = adr ∧ m5 = m ∧ plog0 = plog ∧ lpt1 = lpt ∧ ns4 = ns ∧ rofs ∧ ns0 = ns2 ∧ err0 = err1) |
# buf = EB_PAGE_SIZE, # lpt1 = # avol1, # avol0 = # avol1, # lpt2 = # avol1, adr = adr3, adr0 = adr2, adr1 = adr3, avol = avol1, lpt = lpt1, lpt0 = lpt2, lpt3 = lpt1, m = m5, m0 = m3, m4 = m5, ns = ns4, ns0 = ns2, ns1 = ns4, plog = plog0, plog1 = plog0, abs(avol1, bleb, mkwbuf(buf, m1, m2), avol0, rofs), awbuf-inv(avol1, bleb), ebm-vol-inv(avol0), synced(avol1), ⌊err0⌋ , bleb ≠ nobuffer → bleb.leb < # avol1 ∧ wbuf-cons(mkwbuf(buf, m1, m2), avol0[bleb.leb], rofs) ⊦ ⟨if synced(avol) ∧ # lpt0 = # avol then {fail_or_success#(; ; err); if err = ESUCCESS then {adr := adr0; m := m0; plog := []; lpt := lpt0; ns := ns0} else rofs := true; ns0 := ?} else abort⟩ (abs(avol1, bleb, mkwbuf(buf, m1, m2), avol0, true) ∧ adr = adr1 ∧ m = m4 ∧ plog = plog1 ∧ lpt = lpt3 ∧ ns = ns1 ∧ rofs ∧ ns3 = ns0 ∧ err0 = err)
Used simplifier rules: awbuf_commit# (LPT, WROOTADR0, WMAXINO0, WVOL, WBUFLEB ; ORPHANS, WROOTADR, WMAXINO, WLOG, WLPT, WORPHANS, AROFS ; ERR ) {if synced(WVOL) ∧ # LPT = # WVOL then {fail_or_success#(; ; ERR); if ERR = ESUCCESS then {WROOTADR := WROOTADR0; WMAXINO := WMAXINO0; WLOG := []; WLPT := LPT; WORPHANS := ORPHANS} else AROFS := true; ORPHANS := ?} else abort };