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

# lpt = # avol, # buf1 = EB_PAGE_SIZE, avol[m] = mapped(buf0), m < # avol, ebm-vol-inv(avol), n ≤ # buf, m0 + n ≤ LEB_SIZE, bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(mkwbuf(buf1, m5, m4), avol[bleb.leb], rofs) ⊦ ⟪apersistence_io_read#(m, m0, 0, n, adr, m1, plog, avol, lpt, ns; buf; err); if err = ESUCCESS ∧ buffered(m) = bleb ∧ m0 ≤ m5 + m4 ∧ m5 ≤ m0 + n then let m = (m0 ≤ m5 ⊃ 0;m0 - m5), m1 = (m0 ≤ m5 ⊃ m5 - m0;0) in buf := copy(buf1, m, buf, m1, min(n - m1, m4 - m))⟫ true

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 9:
# buf1 = EB_PAGE_SIZE, # lpt = # avol, avol[m3] = mapped(buf2), buf0 = buf, m = m2, m1 = m3, n0 = 0, m3 < # avol, ebm-vol-inv(avol), m0 + n ≤ LEB_SIZE, n ≤ # buf, bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(mkwbuf(buf1, m5, m4), avol[bleb.leb], rofs) ⊦ ⟪if m1 < # avol ∧ avol[m1].mapped? ∧ n0 + n ≤ # buf0 ∧ m0 + n ≤ LEB_SIZE then {fail_or_success#(; ; err); if err = ESUCCESS then buf0 := copy(avol[m1].data + mkempbuf(LEB_SIZE - # avol[m1].data), m0, buf0, n0, n) else choose buf with # buf = # buf0 ∧ range=(buf0, 0, buf, 0, n0) ∧ range=(buf0, n0 + n, buf, n0 + n, # buf0 - n0 + n) in buf0 := buf} else abort; if err = ESUCCESS ∧ buffered(m3) = bleb ∧ m0 ≤ m5 + m4 ∧ m5 ≤ m0 + n then let m = (m0 ≤ m5 ⊃ 0;m0 - m5), m1 = (m0 ≤ m5 ⊃ m5 - m0;0) in buf := copy(buf1, m, buf0, m1, min(n - m1, m4 - m))⟫ true

Rule argument

pos: right 1

Additional information

Used simplifier rules: apersistence_io_read# (LNUM, OFFSET, N0, N, PROOTADR, PMAXINO, PLOG, PVOL, PLPT, PORPHANS ; BUF ; ERR ) {if LNUM < # PVOL ∧ PVOL[LNUM].mapped? ∧ N0 + N ≤ # BUF ∧ OFFSET + N ≤ LEB_SIZE then {fail_or_success#(; ; ERR); if ERR = ESUCCESS then BUF := copy ( PVOL[LNUM].data + mkempbuf(LEB_SIZE - # PVOL[LNUM].data), OFFSET, BUF, N0, N) else choose BUF0 with # BUF0 = # BUF ∧ range=(BUF, 0, BUF0, 0, N0) ∧ range=(BUF, N0 + N, BUF0, N0 + N, # BUF - N0 + N) in BUF := BUF0} else abort };