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Proof step 10 from proof refine-set-iblock-refsize (previous step)

# lpt0 = # avol, # lpt = # avol, istore[m] = indexblock(indx, lax, m1), lpt[m] = mklp(m1, m2, LP_INDEX_NODES, m3), keyset(gch) = gc-heap(lpt, log0), remove-refsize0(istore0) = istore0, remove-refsize0(gstore0) = gstore0, elems log0 ∩ ginval = ∅, dom gstore0 ∪ elems log0 = dom gstore ∪ ginval, m < # lpt, m < # avol, 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, log0, lpt), flash-lpt-cons(lpt0, istore0, gstore0), freelist-cons(lpt, freelist), inv(indexblock(indx, lax, m1)), inv(istore0), inv(istore), inv(gstore0), inv(gstore \ ginval), log-group-block(log0, lpt), lpt-free-unref(lpt0), lpt-free-unref(lpt), lpt-leb-size(lpt0), lpt-leb-size(lpt), lpt-ram-flash(lpt, lpt0, log0), m ∈ istore, istore0 ⊑ istore, pstate = unbuffered → isbuf, pstate.index? → pstate.lnum ∈ istore, pstate.journal? → log0 ≠ [] ∧ pstate.lnum = log0.last ∧ pstate.lnum ∈ gstore, pstate ≠ unbuffered ∧ pstate ≠ readonly → bleb = buffered(pstate.lnum), pstate = unbuffered → bleb = nobuffer, isbuf → synced(avol) ⊦ ⟨apersistence_set_iblock_refsize#(m, n, adr0, istore0, ginval, gstore, gstore0, log0, m0, ns0, pstate, isbuf; istore)⟩ ( abs-istore(avol, lpt[m, lpt[m].ref-size:= n], istore) ∧ abs-gstore(avol, lpt[m, lpt[m].ref-size:= n], gstore, ginval) ∧ ginval < # lpt[m, lpt[m].ref-size:= n] ∧ (isbuf → synced(avol)) ∧ (pstate = unbuffered → bleb = nobuffer) ∧ (pstate ≠ unbuffered ∧ pstate ≠ readonly → bleb = buffered(pstate.lnum))), dups(log0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
# lpt0 = # avol, # lpt = # avol, istore[m] = indexblock(indx, lax, m1), lpt[m] = mklp(m1, m2, LP_INDEX_NODES, m3), keyset(gch) = gc-heap(lpt, log0), remove-refsize0(istore0) = istore0, remove-refsize0(gstore0) = gstore0, elems log0 ∩ ginval = ∅, dom gstore0 ∪ elems log0 = dom gstore ∪ ginval, m < # avol, 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, log0, lpt), flash-lpt-cons(lpt0, istore0, gstore0), freelist-cons(lpt, freelist), inv(indexblock(indx, lax, m1)), inv(istore0), inv(istore), inv(gstore0), inv(gstore \ ginval), log-group-block(log0, lpt), lpt-free-unref(lpt0), lpt-free-unref(lpt), lpt-leb-size(lpt0), lpt-leb-size(lpt), lpt-ram-flash(lpt, lpt0, log0), m ∈ istore, istore0 ⊑ istore, ¬ dups(log0), pstate = unbuffered → isbuf, pstate.index? → pstate.lnum ∈ istore, pstate.journal? → log0 ≠ [] ∧ pstate.lnum = log0.last ∧ pstate.lnum ∈ gstore, pstate ≠ unbuffered ∧ pstate ≠ readonly → bleb = buffered(pstate.lnum), pstate = unbuffered → bleb = nobuffer, isbuf → synced(avol) ⊦ ⟨apersistence_set_iblock_refsize#(m, n, adr0, istore0, ginval, gstore, gstore0, log0, m0, ns0, pstate, isbuf; istore)⟩ ( abs-istore(avol, lpt[m, lpt[m].ref-size:= n], istore) ∧ (isbuf → synced(avol)) ∧ (pstate = unbuffered → bleb = nobuffer) ∧ (pstate ≠ unbuffered ∧ pstate ≠ readonly → bleb = buffered(pstate.lnum)))

Rule argument

Additional information

Used simplifier rules: ⊦ # lpt[n, lp] = # lpt; (s)%lpf ≠ LP_GROUP_NODES, lp.flags ≠ LP_GROUP_NODES ⊦ lpt[n] = mklp(n0, n1, lpf, n2) → ( abs-gstore(avol, lpt[n, lp], gstore, ginval) ↔ abs-gstore(avol, lpt, gstore, ginval)); (s)% ⊦ mklp(n2, n3, lpf, m).flags = lpf; (s)% ⊦ mklp(m, m0, lpf, m1).ref-size:= m2 = mklp(m2, m0, lpf, m1); (s)% ⊦ LP_GROUP_NODES ≠ LP_INDEX_NODES; (s)