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Proof step 137 from proof refine-add-ind (previous step)

# lpt0 = # avol, # buf1 = 2 * NODE_HEADER_SIZE + ind.alignedsize, # lpt1 = # avol, avol[m1] = mapped(buf0), lpt1[m1] = mklp(m4, # buf0, LP_INDEX_NODES, m2), istore[m1] = indexblock(indx, lax, m4), keyset(gch) = gc-heap(lpt1, log1), remove-refsize0(gstore1) = gstore1, remove-refsize0(istore0) = istore0, elems log1 ∩ ginval = ∅, dom gstore1 ∪ elems log1 = dom gstore2 ∪ ginval, mapped(buf0).mapped?, m1 < # avol, ginval < # avol, abs-gstore(avol, lpt1, gstore2, ginval), abs-istore(avol, lpt1, istore), abs-node(buf1, ind), abs-nodes (mapped(buf0).data, indexblock(indx, lax, m4).indlist, indexblock(indx, lax, m4).ladrlist, mklp(m4, # buf0, LP_INDEX_NODES, m2).size = LEB_SIZE), awbuf-inv(avol, buffered(m1)), awbuf-inv(avol[m1, mapped(buf0 + buf1)], buffered(m1)), bin-heap-inv(gch, lpt1), buf-ro-rw-mode(false, buffered(m1), lpt1, avol), bufs-log-only(buffered(m1), log1, lpt1), flash-lpt-cons(lpt0, istore0, gstore1), freelist-cons(lpt1, freelist), inv(indexblock(indx, lax, m4)), inv(gstore2 \ ginval), inv(gstore1), inv(istore), inv(istore0), log-group-block(log1, lpt1), lpt-free-unref(lpt0), lpt-free-unref(lpt1), lpt-leb-size(lpt0), lpt-leb-size(lpt1), lpt-ram-flash(lpt1, lpt0, log1), lpt-ram-flash(lpt1[m1, mklp(m4, # buf0 + # buf1, LP_INDEX_NODES, m2)], lpt0, log1), m1 ∈ istore, # buf0 + # buf1 ≤ LEB_SIZE, istore0 ⊑ istore, isbuf → synced(avol), mklp(m4, # buf0, LP_INDEX_NODES, m2).size ≠ LEB_SIZE → mklp(m4, # buf0, LP_INDEX_NODES, m2).size = # mapped(buf0).data ⊦ abs-nodes(buf0 + buf1, indx + ind ', lax + @(# buf0, # buf1) ', # buf0 + # buf1 = LEB_SIZE), dups(log1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 138:
# lpt1 = # avol, # buf1 = 2 * NODE_HEADER_SIZE + ind.alignedsize, # lpt0 = # avol, # indx = # lax, istore[m1] = indexblock(indx, lax, m4), lpt1[m1] = mklp(m4, # buf0, LP_INDEX_NODES, m2), avol[m1] = mapped(buf0), keyset(gch) = gc-heap(lpt1, log1), remove-refsize0(istore0) = istore0, remove-refsize0(gstore1) = gstore1, elems log1 ∩ ginval = ∅, dom gstore1 ∪ elems log1 = dom gstore2 ∪ ginval, ginval < # avol, m1 < # avol, abs-gstore(avol, lpt1, gstore2, ginval), abs-istore(avol, lpt1, istore), abs-node(buf1, ind), abs-nodes(buf0, indx, lax, # buf0 = LEB_SIZE), awbuf-inv(avol[m1, mapped(buf0 + buf1)], buffered(m1)), awbuf-inv(avol, buffered(m1)), bin-heap-inv(gch, lpt1), buf-ro-rw-mode(false, buffered(m1), lpt1, avol), bufs-log-only(buffered(m1), log1, lpt1), flash-lpt-cons(lpt0, istore0, gstore1), freelist-cons(lpt1, freelist), inv(istore0), inv(istore), inv(gstore1), inv(gstore2 \ ginval), inv(indexblock(indx, lax, m4)), log-group-block(log1, lpt1), lpt-free-unref(lpt1), lpt-free-unref(lpt0), lpt-leb-size(lpt1), lpt-leb-size(lpt0), lpt-ram-flash(lpt1[m1, mklp(m4, # buf0 + # buf1, LP_INDEX_NODES, m2)], lpt0, log1), lpt-ram-flash(lpt1, lpt0, log1), m1 ∈ istore, # buf0 + # buf1 ≤ LEB_SIZE, istore0 ⊑ istore, isbuf → synced(avol) ⊦ abs-nodes(buf0 + buf1, indx + ind ', lax + @(# buf0, # buf1) ', # buf0 + # buf1 = LEB_SIZE), dups(log1)

Rule argument

Additional information

Used simplifier rules: abs-nodes-elems-adr-length: ⊦ abs-nodes(buf, indx, lax, weak) → # indx = # lax; (forward) from specification abs-list[encoding-index-node]% ⊦ mapped(buf).mapped?; (s)% ⊦ mklp(n2, n3, lpf, m).size = n3; (s)% ⊦ indexblock(indx, lax, m).ladrlist = lax; (s)% ⊦ indexblock(indx, lax, m).indlist = indx; (s)% ⊦ mapped(buf).data = buf; (s)