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Proof step 29 from proof refine-move-buf (previous step)

# avol0 = # avol1, # lpt0 = # avol1, # buf = EB_PAGE_SIZE, avol = avol0, bleb = bleb0, bleb1 = bleb0, m = m4, m0 = m5, ¬ rofs, wbuf = mkwbuf(buf, m1, m3), abs(avol1, bleb0, mkwbuf(buf, m1, m3), avol0, rofs), awbuf-inv(avol1, bleb0), ebm-vol-inv(avol0), ¬ rofs → bleb = buffered(m0) ∨ (bleb = nobuffer ∨ wbuf.nbytes = 0) ∧ m0 < # avol ∧ avol[m0].mapped? ∧ m = # avol[m0].data, ¬ rofs → bleb ≠ buffered(m0) → bleb = nobuffer ∨ wbuf.nbytes = 0 → m0 < # avol → m0 < # avol ∧ (avol[m0].mapped? → avol[m0].mapped? ∧ m0 < # avol), bleb0 ≠ nobuffer → bleb0.leb < # avol1 ∧ wbuf-cons(mkwbuf(buf, m1, m3), avol0[bleb0.leb], rofs), bleb0 = buffered(m5) ∨ (bleb0 = nobuffer ∨ is-aligned(# avol1[bleb0.leb].data, EB_PAGE_SIZE)) ∧ m5 < # avol1 ∧ avol1[m5].mapped? ∧ m4 = # avol1[m5].data ⊦ ⟨awbuf_move_buf#(m5, m4, adr0, m2, plog0, avol1, lpt0, ns0, rofs; bleb1; err0)⟩ (abs(avol1, buffered(m0), (wbuf.offset:= m).nbytes:= 0, avol0, rofs) ∧ bleb1 = buffered(m0) ∧ ESUCCESS = err0), bleb = buffered(m0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 30:
# buf = EB_PAGE_SIZE, # lpt0 = # avol1, # avol0 = # avol1, avol0[m5] = mapped(buf0), bleb0 ≠ buffered(m5), m5 < # avol1, abs(avol1, bleb0, mkwbuf(buf, m1, m3), avol0, false), awbuf-inv(avol1, bleb0), ebm-vol-inv(avol0), bleb0 ≠ nobuffer → bleb0.leb < # avol1 ∧ wbuf-cons(mkwbuf(buf, m1, m3), avol0[bleb0.leb], false), bleb0 = nobuffer ∨ m3 = 0, bleb0 = nobuffer ∨ is-aligned(# avol1[bleb0.leb].data, EB_PAGE_SIZE) ⊦ ⟨awbuf_move_buf#(m5, # buf0, adr0, m2, plog0, avol1, lpt0, ns0, false; bleb0; err0)⟩ (abs(avol1, buffered(m5), mkwbuf(buf, # buf0, 0), avol0, false) ∧ bleb0 = buffered(m5) ∧ ESUCCESS = err0)

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);% ⊦ m < n → n ≠ 0; (s)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ mkwbuf(buf, m, m0).nbytes:= m2 = mkwbuf(buf, m, m2); (s)% ⊦ mkwbuf(buf, m, m0).offset:= m1 = mkwbuf(buf, m1, m0); (s)% ⊦ mapped(buf) = mapped(buf0) ↔ buf = buf0; (s)% ⊦ mapped(buf).data = buf; (s)%n < # avol ⊦ abs(avol, bleb, wbuf, avol0, rofs) ∧ avol[n] = mapped(buf) → (avol0[n].mapped? ↔ true); (ss)% ⊦ m < n → (n ≤ m ↔ false); (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ mkwbuf(buf, m, m0).nbytes = m0; (s)% ⊦ aleb.mapped? ↔ (∃ buf. aleb = mapped(buf)); (as)