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Proof step 45 from proof refine-add-log-leb (previous step)

# avol0 = # avol1, # lpt0 = # avol1, # buf0 = EB_PAGE_SIZE, rofs ↔ false, avol1[m5] = mapped(buf), avol = avol0, bleb0 = bleb, m = # avol1[m5].data, m0 = m5, plog1 = plog0, wbuf = mkwbuf(buf0, m4, m3), avol1[m5].mapped?, m5 < # avol1, abs(avol1, bleb, mkwbuf(buf0, m4, m3), avol0, false), awbuf-inv(avol1, bleb), ebm-vol-inv(avol0), synced(avol1), bleb ≠ nobuffer → bleb.leb < # avol1 ∧ wbuf-cons(mkwbuf(buf0, m4, m3), avol0[bleb.leb], false), bleb ≠ buffered(m5) → bleb = nobuffer ∨ m3 = 0 → avol0[m5].mapped?, ¬ rofs → bleb ≠ buffered(m0) → bleb = nobuffer ∨ wbuf.nbytes = 0 → m0 < # avol → m0 < # avol ∧ (avol[m0].mapped? → avol[m0].mapped? ∧ m0 < # avol), ¬ rofs → bleb = buffered(m0) ∨ (bleb = nobuffer ∨ wbuf.nbytes = 0) ∧ m0 < # avol ∧ avol[m0].mapped? ∧ m = # avol[m0].data, bleb = buffered(m5) ∨ (bleb = nobuffer ∨ m3 = 0) ∧ avol0[m5].mapped? ∧ # buf = # avol0[m5].data ⊦ ⟨awbuf_add_log_leb#(m5, # avol1[m5].data, adr0, m2, avol1, lpt0, ns0, false; plog0, bleb0; err1)⟩ (abs(avol1, buffered(m0), (wbuf.offset:= m).nbytes:= 0, avol0, false) ∧ bleb0 = buffered(m0) ∧ plog0 = plog1 + m5 ' ∧ ESUCCESS = err1), bleb = buffered(m0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 46:
# buf0 = EB_PAGE_SIZE, # lpt0 = # avol1, # avol0 = # avol1, avol0[m5] = mapped(buf), plog1 = plog0, bleb ≠ buffered(m5), m5 < # avol1, abs(avol1, bleb, mkwbuf(buf0, m4, m3), avol0, false), awbuf-inv(avol1, bleb), ebm-vol-inv(avol0), synced(avol1), bleb ≠ nobuffer → bleb.leb < # avol1 ∧ wbuf-cons(mkwbuf(buf0, m4, m3), avol0[bleb.leb], false), bleb = nobuffer ∨ m3 = 0 ⊦ ⟨awbuf_add_log_leb#(m5, # mapped(buf).data, adr0, m2, avol1, lpt0, ns0, false; plog0, bleb; err1)⟩ (abs(avol1, buffered(m5), mkwbuf(buf0, # avol1[m5].data, 0), avol0, false) ∧ bleb = buffered(m5) ∧ plog0 = plog1 + m5 ' ∧ ESUCCESS = err1)

Rule argument

Additional information

Used simplifier rules: abs-unbuffered: n < # avol0 ⊦ abs(avol0, bleb, wbuf, avol1, rofs) ∧ avol1[n] = mapped(buf) ∧ bleb ≠ buffered(n) → avol0[n] = mapped(buf);% ⊦ mkwbuf(buf, m, m0).nbytes:= m2 = mkwbuf(buf, m, m2); (s)% ⊦ mkwbuf(buf, m, m0).offset:= m1 = mkwbuf(buf, m1, m0); (s)% ⊦ mapped(buf).data = buf; (s)% ⊦ mkwbuf(buf, m, m0).nbytes = m0; (s)% ⊦ mapped(buf) = mapped(buf0) ↔ buf = buf0; (s)% ⊦ m < n → (n ≤ m ↔ false); (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ aleb.mapped? ↔ (∃ buf. aleb = mapped(buf)); (as)