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Proof step 5 from proof refine-sync (previous step)

# lpt0 = # avol, # lpt = # avol, pstate = readonly ↔ isbuf0, keyset(gch) = gc-heap(lpt, log1), remove-refsize0(istore0) = istore0, remove-refsize0(gstore0) = gstore0, elems log1 ∩ ginval = ∅, dom gstore0 ∪ elems log1 = dom gstore ∪ ginval, ginval < # avol, abs-gstore(avol, lpt, gstore, ginval), abs-istore(avol, lpt, istore), awbuf-inv(avol, bleb), bin-heap-inv(gch, lpt), buf-ro-rw-mode(pstate = readonly, bleb, lpt, avol), bufs-log-only(bleb, log1, lpt), flash-lpt-cons(lpt0, istore0, gstore0), freelist-cons(lpt, freelist), inv(istore0), inv(istore), inv(gstore0), inv(gstore \ ginval), log-group-block(log1, lpt), lpt-free-unref(lpt0), lpt-free-unref(lpt), lpt-leb-size(lpt0), lpt-leb-size(lpt), lpt-ram-flash(lpt, lpt0, log1), istore0 ⊑ istore, pstate = unbuffered → isbuf, pstate.index? → pstate.lnum ∈ istore, pstate.journal? → log1 ≠ [] ∧ pstate.lnum = log1.last ∧ pstate.lnum ∈ gstore, pstate ≠ unbuffered ∧ pstate ≠ readonly → bleb = buffered(pstate.lnum), pstate = unbuffered → bleb = nobuffer, isbuf → synced(avol) ⊦ dups(log1), lpt-free-unref(lpt) ∧ lpt-free-unref(lpt0) ∧ freelist-cons(lpt, freelist) ∧ log1 = log1 ∧ bin-heap-inv(gch, lpt) ∧ keyset(gch) = gc-heap(lpt, log1) ∧ bufs-log-only(bleb, log1, lpt) ∧ # lpt = # avol ∧ log-group-block(log1, lpt) ∧ buf-ro-rw-mode(isbuf0, bleb, lpt, avol) ∧ lpt-leb-size(lpt) ∧ lpt-leb-size(lpt0) ∧ lpt-ram-flash(lpt, lpt0, log1) ∧ LEB_SIZE = LEB_SIZE ∧ awbuf-inv(avol, bleb) ∧ # lpt0 = # avol ∧ ( bleb.isbuf? ∧ ¬ isbuf0 → bleb.leb < # lpt ∧ lpt[bleb.leb].size ≤ LEB_SIZE ∧ avol[bleb.leb].mapped? ∧ lpt[bleb.leb].size = # avol[bleb.leb].data ∧ lpt[bleb.leb].flags ≠ LP_FREE ∧ is-aligned(lpt[bleb.leb].size, 2 * NODE_HEADER_SIZE))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
# lpt0 = # avol, # lpt = # avol, keyset(gch) = gc-heap(lpt, log1), remove-refsize0(istore0) = istore0, remove-refsize0(gstore0) = gstore0, elems log1 ∩ ginval = ∅, dom gstore0 ∪ elems log1 = dom gstore ∪ ginval, ginval < # avol, pstate.lnum < # avol, abs-gstore(avol, lpt, gstore, ginval), abs-istore(avol, lpt, istore), awbuf-inv(avol, buffered(pstate.lnum)), bin-heap-inv(gch, lpt), buf-ro-rw-mode(false, buffered(pstate.lnum), lpt, avol), bufs-log-only(buffered(pstate.lnum), log1, lpt), flash-lpt-cons(lpt0, istore0, gstore0), freelist-cons(lpt, freelist), inv(istore0), inv(istore), inv(gstore0), inv(gstore \ ginval), log-group-block(log1, lpt), lpt-free-unref(lpt0), lpt-free-unref(lpt), lpt-leb-size(lpt0), lpt-leb-size(lpt), lpt-ram-flash(lpt, lpt0, log1), istore0 ⊑ istore, pstate.index? → pstate.lnum ∈ istore, pstate.journal? → log1 ≠ [] ∧ pstate.lnum = log1.last ∧ pstate.lnum ∈ gstore, isbuf → synced(avol) ⊦ pstate = readonly, pstate = unbuffered, dups(log1), is-aligned(lpt[pstate.lnum].size, 2 * NODE_HEADER_SIZE) ∧ lpt[pstate.lnum].flags ≠ LP_FREE ∧ lpt[pstate.lnum].size = # avol[pstate.lnum].data ∧ avol[pstate.lnum].mapped? ∧ lpt[pstate.lnum].size ≤ LEB_SIZE

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%lf-02: ⊦ m < n ∧ m = n0 → n0 < n; (forward) from specification nat-basic%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m ≤ n → (n < m ↔ false); (s)%inv-buf-in-vol: ⊦ awbuf-inv(avol, buffered(n)) → n < # avol; (forward) from specification awbuf-inv% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ buffered(m).leb = m; (s)% ⊦ nobuffer ≠ buffered(m); (s)% ⊦ buffered(m) = buffered(m0) ↔ m = m0; (s)% ⊦ bleb.isbuf? ↔ (∃ n. bleb = buffered(n)); (as)