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Proof step 32 from proof refine-move-buf (previous step)

# buf = EB_PAGE_SIZE, # lpt0 = # avol1, # avol0 = # avol1, rofs ↔ false, avol0[m5] = mapped(buf0), adr = adr0, avol = avol1, bleb = bleb0, lpt = lpt0, m = m2, m0 = # buf0, m1 = m5, ns = ns0, plog = plog0, m5 < # avol1, abs(avol1, bleb0, mkwbuf(buf, m4, m3), avol0, false), awbuf-inv(avol1, bleb0), ebm-vol-inv(avol0), bleb ≠ buffered(m1) → (bleb ≠ nobuffer → avol[bleb.leb].mapped? ∧ bleb.leb < # avol ∧ bleb.isbuf?) ∧ ( bleb = nobuffer ∨ is-aligned(# avol[bleb.leb].data, EB_PAGE_SIZE) → m1 < # avol → m1 < # avol ∧ (avol[m1].mapped? → avol[m1].mapped? ∧ m1 < # avol)), bleb0 ≠ nobuffer → bleb0.leb < # avol1 ∧ wbuf-cons(mkwbuf(buf, m4, m3), avol0[bleb0.leb], false), bleb = buffered(m1) ∨ (bleb = nobuffer ∨ is-aligned(# avol[bleb.leb].data, EB_PAGE_SIZE)) ∧ m1 < # avol ∧ avol[m1].mapped? ∧ m0 = # avol[m1].data, bleb0 = nobuffer ∨ m3 = 0, bleb0 = nobuffer ∨ is-aligned(# avol1[bleb0.leb].data, EB_PAGE_SIZE) ⊦ ⟨fail_or_success#(; ; err); if err = ESUCCESS then bleb := buffered(m1)⟩ (abs(avol1, buffered(m5), mkwbuf(buf, # buf0, 0), avol0, false) ∧ bleb = buffered(m5) ∧ ESUCCESS = err), bleb0 = buffered(m5)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 33:
# avol0 = # avol1, # lpt0 = # avol1, # buf = EB_PAGE_SIZE, avol0[m5] = mapped(buf0), bleb0 ≠ buffered(m5), m5 < # avol1, abs(avol1, bleb0, mkwbuf(buf, m4, m3), avol0, false), awbuf-inv(avol1, bleb0), ebm-vol-inv(avol0), bleb0 ≠ nobuffer → bleb0.leb < # avol1 ∧ wbuf-cons(mkwbuf(buf, m4, m3), avol0[bleb0.leb], false), bleb0 ≠ nobuffer → avol1[bleb0.leb].mapped? ∧ bleb0.leb < # avol1 ∧ bleb0.isbuf?, bleb0 = nobuffer ∨ is-aligned(# avol1[bleb0.leb].data, EB_PAGE_SIZE), bleb0 = nobuffer ∨ m3 = 0 ⊦ ⟨fail_or_success#(; ; err); if err = ESUCCESS then bleb0 := buffered(m5)⟩ (abs(avol1, buffered(m5), mkwbuf(buf, # buf0, 0), avol0, false) ∧ bleb0 = buffered(m5) ∧ ESUCCESS = err)

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);% ⊦ mapped(buf).data = buf; (s)% ⊦ mapped(buf).mapped?; (s)% ⊦ m < n → (n ≤ m ↔ false); (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)