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Proof step 2 from proof recovery (previous step)

# lpt1 = # avol0, # lpt2 = # avol2, rofs1 ↔ rofs0, adr0 = adr1, adr2 = adr1, adr3 = adr4, bleb1 = bleb0, log = plog3, lpt0 = lpt1, lpt2 = lpt1, lpt3 = lpt4, m0 = m1, m2 = m1, m3 = EB_PAGE_SIZE, m4 = m5, ns0 = ns1, ns2 = ns1, ns3 = ns4, plog0 = plog1, plog2 = plog1, abs(avol2, bleb0, wbuf, avol0, rofs0), awbuf-inv(avol2, bleb1), ebm-vol-inv(avol0), wbuf-cons(bleb0, wbuf, avol0, rofs0), avol0 ⊆ avol1 ⊦ ⟪wbuf_recover#(; adr3, m4, ns3, log, lpt3, wbuf0, m6, adr0, m0, plog0, avol1, lpt0, ns0, bleb2, rofs2; err)⟫ ( ( err = ESUCCESS → (∃ adr, m, plog, avol, lpt, ns, bleb, rofs. (adr = adr2 ∧ m = m2 ∧ plog = plog2 ∧ lpt = lpt2 ∧ avol ↓ avol2 ∧ ns = ns2) ∧ ⟨awbuf_recover#(; adr4, m5, ns4, plog3, lpt4, adr, m, plog, lpt, ns, avol; bleb, rofs, err0)⟩ ( ( abs(avol, bleb2, wbuf0, avol1, rofs2) ∧ bleb = bleb2 ∧ adr = adr0 ∧ m = m0 ∧ plog = plog0 ∧ lpt = lpt0 ∧ ns = ns0 ∧ (rofs ↔ rofs2)) ∧ adr3 = adr4 ∧ m4 = m5 ∧ ns3 = ns4 ∧ log = plog3 ∧ lpt3 = lpt4 ∧ err = err0))) ∧ ( err ≠ ESUCCESS → (∀ adr, m, plog, avol, lpt, ns, bleb, rofs. ⟨awbuf_recover#(; adr4, m5, ns4, plog3, lpt4, adr5, m7, plog4, lpt5, ns5, avol3; bleb3, rofs3, err0)⟩ ( adr = adr5 ∧ m = m7 ∧ plog = plog4 ∧ avol = avol3 ∧ lpt = lpt5 ∧ ns = ns5 ∧ bleb = bleb3 ∧ (rofs ↔ rofs3) ∧ adr3 = adr4 ∧ m4 = m5 ∧ ns3 = ns4 ∧ log = plog3 ∧ lpt3 = lpt4 ∧ err = err0))))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
# avol0 = # avol2, # lpt1 = # avol2, # wbuf.content = EB_PAGE_SIZE, adr0 = adr1, adr3 = adr4, log = plog3, lpt0 = lpt1, lpt3 = lpt4, m0 = m1, m4 = m5, ns0 = ns1, ns3 = ns4, plog0 = plog1, abs(avol2, bleb0, wbuf, avol0, rofs0), awbuf-inv(avol2, bleb0), ebm-vol-inv(avol0), avol0 ⊆ avol1, bleb0 ≠ nobuffer → bleb0.leb < # avol2 ∧ wbuf-cons(wbuf, avol0[bleb0.leb], rofs0) ⊦ ⟪wbuf_recover#(; adr3, m4, ns3, log, lpt3, wbuf0, m6, adr0, m0, plog0, avol1, lpt0, ns0, bleb2, rofs2; err)⟫ ( ( err = ESUCCESS → (∃ avol. avol ↓ avol2 ∧ ⟨awbuf_recover#(; adr4, m5, ns4, plog3, lpt4, adr1, m1, plog1, lpt1, ns1, avol; bleb, rofs, err0)⟩ ( abs(avol, bleb2, wbuf0, avol1, rofs2) ∧ bleb = bleb2 ∧ adr1 = adr0 ∧ m1 = m0 ∧ plog1 = plog0 ∧ lpt1 = lpt0 ∧ ns1 = ns0 ∧ (rofs ↔ rofs2) ∧ adr3 = adr4 ∧ m4 = m5 ∧ ns3 = ns4 ∧ log = plog3 ∧ lpt3 = lpt4 ∧ ESUCCESS = err0))) ∧ ( err ≠ ESUCCESS → (∀ adr, m, plog, avol, lpt, ns, bleb, rofs. ⟨awbuf_recover#(; adr4, m5, ns4, plog3, lpt4, adr5, m7, plog4, lpt5, ns5, avol3; bleb3, rofs3, err0)⟩ ( adr = adr5 ∧ m = m7 ∧ plog = plog4 ∧ avol = avol3 ∧ lpt = lpt5 ∧ ns = ns5 ∧ bleb = bleb3 ∧ (rofs ↔ rofs3) ∧ adr3 = adr4 ∧ m4 = m5 ∧ ns3 = ns4 ∧ log = plog3 ∧ lpt3 = lpt4 ∧ err = err0))))

Rule argument

Additional information

Used simplifier rules: ⊦ wbuf-cons(bleb, wbuf, avol, rofs) ↔ # wbuf.content = EB_PAGE_SIZE ∧ ( bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(wbuf, avol[bleb.leb], rofs)); (s)