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Proof step 31 from proof refine-read-buf (previous step)

# buf2 = EB_PAGE_SIZE, # lpt0 = # avol1, # avol0 = # avol1, LEB_SIZE = n0 + # buf0, avol0[m2] = mapped(buf0), avol1[m2] = mapped(buf1), buf = copy(buf0 + mkempbuf(n0), m0, buf3, 0, n1 + (m0 ≤ m6 ⊃ m6 - m0;0)), n2 + (m0 ≤ m6 ⊃ 0;m0 - m6) < EB_PAGE_SIZE, m2 < # avol1, (m0 ≤ m6 ⊃ 0;m0 - m6) < EB_PAGE_SIZE, abs(avol1, buffered(m2), mkwbuf(buf2, m6, n2 + (m0 ≤ m6 ⊃ 0;m0 - m6)), avol0, rofs), awbuf-inv(avol1, buffered(m2)), ebm-vol-inv(avol0), is-aligned(m6, EB_PAGE_SIZE), m6 ≤ LEB_SIZE, (m0 ≤ m6 ⊃ m6 - m0;0) ≤ # buf3, (m0 ≤ m6 ⊃ 0;m0 - m6) + min(n1, n2) ≤ EB_PAGE_SIZE, (m0 ≤ m6 ⊃ m6 - m0;0) + min(n1, n2) ≤ # buf3, m0 ≤ m6 + n2 + (m0 ≤ m6 ⊃ 0;m0 - m6), m6 ≤ m0 + n1 + (m0 ≤ m6 ⊃ m6 - m0;0), n1 + (m0 ≤ m6 ⊃ m6 - m0;0) ≤ # buf3, m0 + n1 + (m0 ≤ m6 ⊃ m6 - m0;0) ≤ LEB_SIZE, # buf0 ≤ LEB_SIZE, ¬ m0 ≤ m6 → m6 ≤ m0, rofs → m6 ≤ # buf0, ¬ rofs → # buf0 = m6 ⊦ ⟨awbuf_read_buf#(m2, m0, n1 + (m0 ≤ m6 ⊃ m6 - m0;0), adr0, m5, plog0, avol1, lpt0, ns0, buffered(m2), rofs; buf3; err1)⟩ (copy(buf2, (m0 ≤ m6 ⊃ 0;m0 - m6), buf, (m0 ≤ m6 ⊃ m6 - m0;0), min(n1, n2)) = buf3 ∧ ESUCCESS = err1)

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 32:
# avol0 = # avol1, # lpt0 = # avol1, # buf2 = EB_PAGE_SIZE, LEB_SIZE = n0 + # buf4, avol1[m2] = mapped(buf1), avol0[m2] = mapped(buf4), adr = adr0, avol = avol1, bleb = buffered(m2), buf = copy(buf4 + mkempbuf(n0), m0, buf3, 0, n1 + (m0 ≤ m6 ⊃ m6 - m0;0)), buf0 = buf3, lpt = lpt0, m = m5, m1 = m2, n = n1 + (m0 ≤ m6 ⊃ m6 - m0;0), ns = ns0, plog = plog0, (m0 ≤ m6 ⊃ 0;m0 - m6) < EB_PAGE_SIZE, m2 < # avol1, n2 + (m0 ≤ m6 ⊃ 0;m0 - m6) < EB_PAGE_SIZE, abs(avol1, buffered(m2), mkwbuf(buf2, m6, n2 + (m0 ≤ m6 ⊃ 0;m0 - m6)), avol0, rofs), awbuf-inv(avol1, buffered(m2)), ebm-vol-inv(avol0), is-aligned(m6, EB_PAGE_SIZE), # buf4 ≤ LEB_SIZE, m0 + n1 + (m0 ≤ m6 ⊃ m6 - m0;0) ≤ LEB_SIZE, n1 + (m0 ≤ m6 ⊃ m6 - m0;0) ≤ # buf3, m6 ≤ m0 + n1 + (m0 ≤ m6 ⊃ m6 - m0;0), m0 ≤ m6 + n2 + (m0 ≤ m6 ⊃ 0;m0 - m6), (m0 ≤ m6 ⊃ m6 - m0;0) + min(n1, n2) ≤ # buf3, (m0 ≤ m6 ⊃ 0;m0 - m6) + min(n1, n2) ≤ EB_PAGE_SIZE, (m0 ≤ m6 ⊃ m6 - m0;0) ≤ # buf3, m6 ≤ LEB_SIZE, ¬ rofs → # buf4 = m6, rofs → m6 ≤ # buf4, ¬ m0 ≤ m6 → m6 ≤ m0, (m0 ≤ m6 ⊃ m6 ≥ m0;true) ⊦ ⟨if m1 < # avol ∧ n ≤ # buf0 ∧ m0 + n ≤ LEB_SIZE ∧ avol[m1].mapped? then {fail_or_success#(; ; err); if err = ESUCCESS then buf0 := copy(avol[m1].data + mkempbuf(LEB_SIZE - # avol[m1].data), m0, buf0, 0, n) else choose buf with # buf = # buf0 ∧ range=(buf, n, buf0, n, # buf0 - n) in buf0 := buf} else abort⟩ (copy(buf2, (m0 ≤ m6 ⊃ 0;m0 - m6), buf, (m0 ≤ m6 ⊃ m6 - m0;0), min(n1, n2)) = buf0 ∧ ESUCCESS = err)

Rule argument

pos: right 1

Additional information

Used simplifier rules: awbuf_read_buf# (LNUM, OFFSET, N, WROOTADR, WMAXINO, WLOG, WVOL, WLPT, WORPHANS, WBUFLEB, AROFS ; BUF ; ERR ) {if LNUM < # WVOL ∧ N ≤ # BUF ∧ OFFSET + N ≤ LEB_SIZE ∧ WVOL[LNUM].mapped? then {fail_or_success#(; ; ERR); if ERR = ESUCCESS then BUF := copy ( WVOL[LNUM].data + mkempbuf(LEB_SIZE - # WVOL[LNUM].data), OFFSET, BUF, 0, N) else choose BUF0 with # BUF0 = # BUF ∧ range=(BUF0, N, BUF, N, # BUF - N) in BUF := BUF0} else abort };% ⊦ n ≥ m ↔ m ≤ n; (s)