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Proof step 11 from proof refine-read-gblock-nodes (previous step)

# lpt0 = # avol, # lpt = # avol, m < # avol ∧ lpt[m].flags = LP_GROUP_NODES ↔ m ∈ gstore, gstore[m] = groupblock(gndx1, lax, m1), lpt[m] = mklp(m1, m2, LP_GROUP_NODES, m3), ax = ax0, gndx = gndx0, keyset(gch) = gc-heap(lpt, log1), remove-refsize0(istore0) = istore0, remove-refsize0(gstore0) = gstore0, elems log1 ∩ ginval = ∅, dom gstore0 ∪ elems log1 = dom gstore ∪ ginval, m < # avol, ginval < # avol, 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(groupblock(gndx1, lax, m1)), 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), m ∈ gstore, 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), m ∈ gstore ∧ ¬ m ∈ ginval → abs-leb(avol[m], gstore[m], lpt[m]), m ∈ gstore → lpt[m].ref-size = gstore[m].ref-size ⊦ ⟪persistence_read_gblock_nodes#(m, LEB_SIZE, adr0, m0, log1, avol, lpt0, ns0, bleb, pstate = readonly; ax, gndx; err)⟫ ⟨apersistence_read_gblock_nodes#(m, adr0, istore, istore0, ginval, gstore, gstore0, log1, m0, ns0, pstate, isbuf; ax0, gndx0; err0)⟩ ( (isbuf → synced(avol)) ∧ (pstate = unbuffered → bleb = nobuffer) ∧ (pstate ≠ unbuffered ∧ pstate ≠ readonly → bleb = buffered(pstate.lnum)) ∧ ax = ax0 ∧ gndx = gndx0 ∧ err = err0), dups(log1), m ∈ ginval

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
# lpt0 = # avol, # lpt = # avol, gstore[m] = groupblock(gndx1, lax, m1), lpt[m] = mklp(m1, m2, LP_GROUP_NODES, m3), ax = ax0, gndx = gndx0, keyset(gch) = gc-heap(lpt, log1), remove-refsize0(istore0) = istore0, remove-refsize0(gstore0) = gstore0, elems log1 ∩ ginval = ∅, dom gstore0 ∪ elems log1 = dom gstore ∪ ginval, m < # avol, ginval < # avol, abs-istore(avol, lpt, istore), abs-leb(avol[m], groupblock(gndx1, lax, m1), mklp(m1, m2, LP_GROUP_NODES, m3)), 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(groupblock(gndx1, lax, m1)), 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), m ∈ gstore, istore0 ⊑ istore, ¬ dups(log1), ¬ m ∈ ginval, 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) ⊦ ⟪persistence_read_gblock_nodes#(m, LEB_SIZE, adr0, m0, log1, avol, lpt0, ns0, bleb, pstate = readonly; ax, gndx; err)⟫ ⟨apersistence_read_gblock_nodes#(m, adr0, istore, istore0, ginval, gstore, gstore0, log1, m0, ns0, pstate, isbuf; ax0, gndx0; err0)⟩ ( (isbuf → synced(avol)) ∧ (pstate = unbuffered → bleb = nobuffer) ∧ (pstate ≠ unbuffered ∧ pstate ≠ readonly → bleb = buffered(pstate.lnum)) ∧ ax = ax0 ∧ gndx = gndx0 ∧ err = err0)

Rule argument

Additional information

Used simplifier rules: ⊦ mklp(n2, n3, lpf, m).flags = lpf; (s)% ⊦ groupblock(gndx, lax, m).ref-size = m; (s)% ⊦ mklp(n2, n3, lpf, m).ref-size = n2; (s)