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Proof step 8 from proof refine-read-buf (previous step)

# buf2 = EB_PAGE_SIZE, # lpt0 = # avol, # avol0 = # avol, avol[m] = mapped(buf1), buf = buf0, m < # avol, abs(avol, bleb, mkwbuf(buf2, m1, m3), avol0, rofs), awbuf-inv(avol, bleb), ebm-vol-inv(avol0), m0 + n ≤ LEB_SIZE, n ≤ # buf0, bleb ≠ nobuffer → bleb.leb < # avol ∧ avol0[bleb.leb].mapped? ∧ m3 < EB_PAGE_SIZE ∧ (¬ rofs → # avol0[bleb.leb].data = m1) ∧ (rofs → m1 ≤ # avol0[bleb.leb].data) ∧ is-aligned(m1, EB_PAGE_SIZE) ⊦ ⟪wbuf_read_buf#(m, m0, n, bleb, mkwbuf(buf2, m1, m3), adr0, m2, plog0, avol0, lpt0, ns0; buf; err)⟫ ⟨awbuf_read_buf#(m, m0, n, adr0, m2, plog0, avol, lpt0, ns0, bleb, rofs; buf0; err0)⟩ (buf = buf0 ∧ err = err0)

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 9:
# avol0 = # avol1, # lpt0 = # avol1, # buf2 = EB_PAGE_SIZE, avol1[m] = mapped(buf1), adr = adr0, avol = avol0, buf = buf0, lpt = lpt0, m1 = m5, m2 = m0, m3 = m, ns = ns0, plog = plog0, wbuf = mkwbuf(buf2, m6, m4), m < # avol1, abs(avol1, bleb, mkwbuf(buf2, m6, m4), avol0, rofs), awbuf-inv(avol1, bleb), ebm-vol-inv(avol0), n ≤ # buf0, m0 + n ≤ LEB_SIZE, bleb ≠ nobuffer → bleb.leb < # avol1 ∧ avol0[bleb.leb].mapped? ∧ m4 < EB_PAGE_SIZE ∧ (¬ rofs → # avol0[bleb.leb].data = m6) ∧ (rofs → m6 ≤ # avol0[bleb.leb].data) ∧ is-aligned(m6, EB_PAGE_SIZE) ⊦ ⟪if m3 < # avol ∧ n ≤ # buf ∧ m2 + n ≤ LEB_SIZE ∧ avol[m3].mapped? then {apersistence_io_read#(m3, m2, 0, n, adr, m1, plog, avol, lpt, ns; buf; err); if err = ESUCCESS ∧ buffered(m3) = bleb ∧ m2 ≤ wbuf.offset + wbuf.nbytes ∧ wbuf.offset ≤ m2 + n then let m0 = (m2 ≤ wbuf.offset ⊃ 0;m2 - wbuf.offset), m = (m2 ≤ wbuf.offset ⊃ wbuf.offset - m2;0) in buf := copy(wbuf.content, m0, buf, m, min(n - m, wbuf.nbytes - m0))} else abort⟫ ⟨awbuf_read_buf#(m, m0, n, adr0, m5, plog0, avol1, lpt0, ns0, bleb, rofs; buf0; err0)⟩ (buf = buf0 ∧ err = err0)

Rule argument

pos: right 1

Additional information

Used simplifier rules: wbuf_read_buf# (LNUM, OFFSET, N, BUFLEB, WBUF, PROOTADR, PMAXINO, PLOG, PVOL, PLPT, PORPHANS ; BUF ; ERR ) {if LNUM < # PVOL ∧ N ≤ # BUF ∧ OFFSET + N ≤ LEB_SIZE ∧ PVOL[LNUM].mapped? then {apersistence_io_read# (LNUM, OFFSET, 0, N, PROOTADR, PMAXINO, PLOG, PVOL, PLPT, PORPHANS ; BUF ; ERR); if ERR = ESUCCESS ∧ buffered(LNUM) = BUFLEB ∧ OFFSET ≤ WBUF.offset + WBUF.nbytes ∧ WBUF.offset ≤ OFFSET + N then let BEGINWBUF = (OFFSET ≤ WBUF.offset ⊃ 0;OFFSET - WBUF.offset), BEGINBUF = (OFFSET ≤ WBUF.offset ⊃ WBUF.offset - OFFSET;0) in BUF := copy (WBUF.content, BEGINWBUF, BUF, BEGINBUF, min(N - BEGINBUF, WBUF.nbytes - BEGINWBUF))} else abort };