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Proof step 26 from proof inv-add-ind (previous step)

# buf1 = 2 * NODE_HEADER_SIZE + ind.alignedsize, # lpt1 = # avol, # lpt0 = # avol, isbuf1 ↔ false, lpt1[n] = mklp(m1, m3, LP_INDEX_NODES, m2), avol[n] = mapped(buf0), bleb1 = buffered(n), err = ESUCCESS, keyset(gch) = gc-heap(lpt1, log0), buffered(n).isbuf?, buffered(n).leb < # lpt1, n < # avol, 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), 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), err = ESUCCESS → abs-node(buf1, ind) ∧ m4 = # buf1, m3 + # buf1 ≤ LEB_SIZE → m3 = # buf0, err = ESUCCESS ∨ ⌊err⌋ ⊦ ⟪debug#("persistence: trying to write beyond LEB size"); awbuf_enter_readonly#(adr0, m0, log0, avol, lpt0, ns, bleb1; ; isbuf1); err := ENOSPC⟫ ( lpt-free-unref(lpt1) ∧ freelist-cons(lpt1, freelist) ∧ bin-heap-inv(gch, lpt1) ∧ keyset(gch) = gc-heap(lpt1, log0) ∧ bufs-log-only(bleb1, log0, lpt1) ∧ # lpt1 = # avol ∧ log-group-block(log0, lpt1) ∧ buf-ro-rw-mode(isbuf1, bleb1, lpt1, avol) ∧ lpt-leb-size(lpt1) ∧ lpt-ram-flash(lpt1, lpt0, log0) ∧ awbuf-inv(avol, bleb1) ∧ # lpt0 = # avol), lpt1[buffered(n).leb].size + m4 ≤ LEB_SIZE

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 27:
# lpt0 = # avol, # lpt1 = # avol, # buf1 = 2 * NODE_HEADER_SIZE + ind.alignedsize, avol[n] = mapped(buf0), lpt1[n] = mklp(m1, m3, LP_INDEX_NODES, m2), keyset(gch) = gc-heap(lpt1, log0), LEB_SIZE < m3 + # buf1, n < # avol, abs-node(buf1, ind), 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), 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) ⊦ ⟪debug#("persistence: trying to write beyond LEB size"); awbuf_enter_readonly#(adr0, m0, log0, avol, lpt0, ns, buffered(n); ; isbuf1); err := ENOSPC⟫ buf-ro-rw-mode(isbuf1, buffered(n), lpt1, avol)

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → (n ≤ m ↔ false); (s)% ⊦ m < n → n ≠ 0; (s)% ⊦ mklp(n2, n3, lpf, m).size = n3; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m ≤ n ↔ ¬ n < m; (ss)% ⊦ buffered(m).isbuf?; (s)% ⊦ buffered(m).leb = m; (s)