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Proof step 55 from proof refine-move-buf (previous step)

# avol0 = # avol1, # lpt0 = # avol1, # buf = EB_PAGE_SIZE, avol = avol0, bleb = bleb0, bleb = buffered(m0), 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, bleb, wbuf, avol0, rofs) ∧ bleb1 = bleb ∧ ESUCCESS = err0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 56:
# buf = EB_PAGE_SIZE, # lpt0 = # avol1, # avol0 = # avol1, avol0[m5] = mapped(buf0), buffered(m5) = bleb0, m5 < # avol1, abs(avol1, buffered(m5), mkwbuf(buf, m1, m3), avol0, false), awbuf-inv(avol1, buffered(m5)), ebm-vol-inv(avol0), wbuf-cons(mkwbuf(buf, m1, m3), mapped(buf0), false) ⊦ ⟨awbuf_move_buf#(m5, m4, adr0, m2, plog0, avol1, lpt0, ns0, false; bleb0; err0)⟩ (bleb0 = buffered(m5) ∧ ESUCCESS = err0)

Rule argument

Additional information

Used simplifier rules: ⊦ mapped(buf).mapped?; (s)% ⊦ aleb.mapped? ↔ (∃ buf. aleb = mapped(buf)); (as)% ⊦ m < n → n ≠ 0; (s)%inv-buf-in-vol: ⊦ awbuf-inv(avol, buffered(n)) → n < # avol; (forward) from specification awbuf-inv%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%wbuf-cons-mapped: ⊦ wbuf-cons(wbuf, aleb, boolvar) → aleb.mapped?; (forward) from specification wbuf-base% ⊦ buffered(m).leb = m; (s)% ⊦ nobuffer ≠ buffered(m); (s)