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Proof step 117 from proof inv-sync (previous step)

# lpt0 = # avol, # lpt1 = # avol, EB_PAGE_SIZE = # buf1 + # buf0 % EB_PAGE_SIZE, avol[n] = mapped(buf0), lpt1[n] = mklp(m3, # buf0, lpf, m4), keyset(gch) = gc-heap(lpt1, log0), buf1 ≠ mkbuf(0), lpf ≠ LP_FREE, n < # avol, abs-padding(buf1), awbuf-inv(avol, buffered(n)), bin-heap-inv(gch, lpt1), buf-ro-rw-mode(false, buffered(n), lpt1, avol), bufs-log-only(buffered(n), log0, lpt1), freelist-cons(lpt1, freelist), is-aligned(# buf0, 2 * NODE_HEADER_SIZE), log-group-block(log0, lpt1), lpt-free-unref(lpt1), lpt-free-unref(lpt0), lpt-leb-size(lpt1), lpt-leb-size(lpt0), lpt-ram-flash(lpt1, lpt0, log0), # buf0 + # buf1 ≤ LEB_SIZE, # buf0 ≤ LEB_SIZE, ⌊err0⌋ , ¬ is-aligned(# buf0, EB_PAGE_SIZE) ⊦ ⟪debug#("persistence: flushing of LEB " + buffered(n).leb.toString + " failed"); lpt1[buffered(n).leb] := mklp(lpt1[buffered(n).leb].ref-size, LEB_SIZE, lpt1[buffered(n).leb].flags, lpt1[buffered(n).leb].gcheapidx); awbuf_enter_readonly#(adr, m2, log0, avol, lpt0, ns, buffered(n); ; isbuf1)⟫ ( lpt-free-unref(lpt1) ∧ freelist-cons(lpt1, freelist) ∧ bin-heap-inv(gch, lpt1) ∧ keyset(gch) = gc-heap(lpt1, log0) ∧ bufs-log-only(buffered(n), log0, lpt1) ∧ # lpt1 = # avol ∧ log-group-block(log0, lpt1) ∧ buf-ro-rw-mode(isbuf1, buffered(n), lpt1, avol) ∧ lpt-leb-size(lpt1) ∧ lpt-ram-flash(lpt1, lpt0, log0))

User applied rule insert program lemma

And obtained the following new goals

Proof step 118:
⊦ ⟪debug#(str)⟫ true
Proof step 119:
# lpt1 = # avol, # lpt0 = # avol, EB_PAGE_SIZE = # buf1 + # buf0 % EB_PAGE_SIZE, lpt1[n] = mklp(m3, # buf0, lpf, m4), avol[n] = mapped(buf0), keyset(gch) = gc-heap(lpt1, log0), str0 = "persistence: flushing of LEB " + buffered(n).leb.toString + " failed", buffered(n).isbuf?, n < # avol, abs-padding(buf1), awbuf-inv(avol, buffered(n)), bin-heap-inv(gch, lpt1), buf-ro-rw-mode(false, buffered(n), lpt1, avol), bufs-log-only(buffered(n), log0, lpt1), freelist-cons(lpt1, freelist), is-aligned(# buf0, 2 * NODE_HEADER_SIZE), log-group-block(log0, lpt1), lpt-free-unref(lpt0), lpt-free-unref(lpt1), lpt-leb-size(lpt0), lpt-leb-size(lpt1), lpt-ram-flash(lpt1, lpt0, log0), # buf0 ≤ LEB_SIZE, # buf0 + # buf1 ≤ LEB_SIZE, ⌊err0⌋ ⊦ ∀ . true → ⟪lpt1[buffered(n).leb] := mklp(lpt1[buffered(n).leb].ref-size, LEB_SIZE, lpt1[buffered(n).leb].flags, lpt1[buffered(n).leb].gcheapidx); awbuf_enter_readonly#(adr, m2, log0, avol, lpt0, ns, buffered(n); ; isbuf1)⟫ ( lpt-free-unref(lpt1) ∧ freelist-cons(lpt1, freelist) ∧ bin-heap-inv(gch, lpt1) ∧ keyset(gch) = gc-heap(lpt1, log0) ∧ bufs-log-only(buffered(n), log0, lpt1) ∧ # lpt1 = # avol ∧ log-group-block(log0, lpt1) ∧ buf-ro-rw-mode(isbuf1, buffered(n), lpt1, avol) ∧ lpt-leb-size(lpt1) ∧ lpt-ram-flash(lpt1, lpt0, log0)), buf1 = mkbuf(0), lpf = LP_FREE, is-aligned(# buf0, EB_PAGE_SIZE)

Rule argument

spec: debug name: debug seq: ⊦ ⟪debug#(str)⟫ true subst: [str] → [ "persistence: flushing of LEB " + buffered(n).leb.toString + " failed"] flags: <all paths>

Additional information

Used simplifier rules: ⊦ buffered(m).isbuf?; (s)