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Proof step 124 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, m1 < # avol, ginval < # avol, abs-gstore(avol, lpt1, gstore2, ginval), abs-leb(mapped(buf0), indexblock(indx, lax, m4), mklp(m4, # buf0, LP_INDEX_NODES, m2)), abs-node(buf1, ind), 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), @(# buf0, # buf1) ∈ lax, m1 ∈ istore, # buf0 + # buf1 ≤ LEB_SIZE, istore0 ⊑ istore, isbuf1 → synced(avol) ⊦ dups(log1)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: abs-leb, inst: encoding-index-node name: abs-leb-def seq: ⊦ abs-leb(aleb, iblock, lp) ↔ aleb.mapped? ∧ abs-nodes (aleb.data, iblock.indlist, iblock.ladrlist, lp.size = LEB_SIZE) ∧ (lp.size ≠ LEB_SIZE → lp.size = # aleb.data) subst: [lp, iblock, aleb] → [mklp(m4, # buf0, LP_INDEX_NODES, m2), indexblock(indx, lax, m4), mapped(buf0)] flags: <all paths>

Additional information

Used simplifier rules: ⊦ mapped(buf).data = buf; (s)% ⊦ indexblock(indx, lax, m).indlist = indx; (s)% ⊦ indexblock(indx, lax, m).ladrlist = lax; (s)% ⊦ mklp(n2, n3, lpf, m).size = n3; (s)% ⊦ mapped(buf).mapped?; (s)% ⊦ abs-nodes(buf, indx, lax, boolvar) → ¬ @(# buf, m1) ∈ lax; (s) Used terms: mklp(m4, # buf0, LP_INDEX_NODES, m2), indexblock(indx, lax, m4), mapped(buf0)