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Proof step 17 from proof refine-read-gblock-nodes (previous step)

# lpt = # avol, # lpt0 = # avol, lpt[m] = mklp(m1, m2, LP_GROUP_NODES, m3), gstore[m] = groupblock(gndx1, lax, m1), keyset(gch) = gc-heap(lpt, log1), remove-refsize0(gstore0) = gstore0, remove-refsize0(istore0) = istore0, elems log1 ∩ ginval = ∅, dom gstore0 ∪ elems log1 = dom gstore ∪ ginval, avol[m].mapped?, ginval < # avol, m < # avol, abs-istore(avol, lpt, istore), abs-nodes(avol[m].data, groupblock(gndx1, lax, m1).gndlist, groupblock(gndx1, lax, m1).ladrlist, mklp(m1, m2, LP_GROUP_NODES, m3).size = LEB_SIZE), 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(gstore \ ginval), inv(gstore0), inv(istore), inv(istore0), inv(groupblock(gndx1, lax, m1)), log-group-block(log1, lpt), lpt-free-unref(lpt), lpt-free-unref(lpt0), lpt-leb-size(lpt), lpt-leb-size(lpt0), lpt-ram-flash(lpt, lpt0, log1), m ∈ gstore, istore0 ⊑ istore, isbuf → synced(avol), pstate = unbuffered → bleb = nobuffer, pstate ≠ unbuffered ∧ pstate ≠ readonly → bleb = buffered(pstate.lnum), pstate.journal? → log1 ≠ [] ∧ pstate.lnum = log1.last ∧ pstate.lnum ∈ gstore, pstate.index? → pstate.lnum ∈ istore, pstate = unbuffered → isbuf, mklp(m1, m2, LP_GROUP_NODES, m3).size ≠ LEB_SIZE → mklp(m1, m2, LP_GROUP_NODES, m3).size = # avol[m].data ⊦ dups(log1), m ∈ ginval, avol[m].mapped? ∧ (∃ gndx, lax. abs-nodes(avol[m].data, gndx, lax, true))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
# gndx1 = # lax, # lpt = # avol, # lpt0 = # avol, avol[m] = mapped(buf), lpt[m] = mklp(m1, m2, LP_GROUP_NODES, m3), gstore[m] = groupblock(gndx1, lax, m1), keyset(gch) = gc-heap(lpt, log1), remove-refsize0(gstore0) = gstore0, remove-refsize0(istore0) = istore0, elems log1 ∩ ginval = ∅, dom gstore0 ∪ elems log1 = dom gstore ∪ ginval, ginval < # avol, m < # avol, abs-istore(avol, lpt, istore), abs-nodes(buf, gndx1, lax, m2 = LEB_SIZE), 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(gstore \ ginval), inv(gstore0), inv(istore), inv(istore0), inv(groupblock(gndx1, lax, m1)), log-group-block(log1, lpt), lpt-free-unref(lpt), lpt-free-unref(lpt0), lpt-leb-size(lpt), lpt-leb-size(lpt0), lpt-ram-flash(lpt, lpt0, log1), m ∈ gstore, istore0 ⊑ istore, isbuf → synced(avol), pstate = unbuffered → bleb = nobuffer, pstate ≠ unbuffered ∧ pstate ≠ readonly → bleb = buffered(pstate.lnum), pstate.journal? → log1 ≠ [] ∧ pstate.lnum = log1.last ∧ pstate.lnum ∈ gstore, pstate.index? → pstate.lnum ∈ istore, pstate = unbuffered → isbuf, m2 ≠ LEB_SIZE → m2 = # buf ⊦ dups(log1), m ∈ ginval, ∃ gndx, lax0. abs-nodes(buf, gndx, lax0, true)

Rule argument

Additional information

Used simplifier rules: ⊦ mapped(buf).mapped?; (s)% ⊦ mapped(buf).data = buf; (s)%abs-nodes-elems-adr-length: ⊦ abs-nodes(buf, gndx, lax, weak) → # gndx = # lax; (forward) from specification abs-list[encoding-group-node]% ⊦ avol[n].mapped? ↔ (∃ buf. avol[n] = mapped(buf)); (as)% ⊦ mklp(n2, n3, lpf, m).size = n3; (s)% ⊦ groupblock(gndx, lax, m).ladrlist = lax; (s)% ⊦ groupblock(gndx, lax, m).gndlist = gndx; (s)