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Proof step 149 from proof refine-allocate-ind (previous step)

# lpt2 = # avol0, # lpt0 = # avol0, lpt2[n].flags = LP_INDEX_NODES, lpt2[n].ref-size = m, lpt2[n0] = mklp(0, m5, LP_FREE, m6), avol0[n] = unmapped, istore[n] = indexblock(indx, lax, m), keyset(gch) = gc-heap(lpt2, log1), remove-refsize0(gstore0) = gstore0, remove-refsize0(istore0) = istore0, elems log1 ∩ ginval = ∅, dom gstore0 ∪ elems log1 = dom gstore ∪ ginval, ginval < # avol0, n0 < # avol0, n < # avol0, abs-gstore(avol0, lpt2, gstore, ginval), abs-istore(avol0, lpt2, istore), awbuf-inv(avol0, buffered(n)), bin-heap-inv(gch, lpt2), buf-ro-rw-mode(false, buffered(n), lpt2, avol0), bufs-log-only(buffered(n), log1, lpt2), flash-lpt-cons(lpt0, istore0, gstore0), freelist-cons(lpt2, n0 ' + nx0), inv(gstore \ ginval), inv(gstore0), inv(istore), inv(istore0), log-group-block(log1, lpt2), lpt-free-unref(lpt2), lpt-free-unref(lpt0), lpt-leb-size(lpt2), lpt-leb-size(lpt0), lpt-ram-flash(lpt2, lpt0, log1), synced(avol0), n ∈ istore, istore0 ⊑ istore ⊦ n = n0, dups(log1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 150:
# lpt0 = # avol0, # lpt2 = # avol0, lpt2[n].flags = LP_INDEX_NODES, istore[n] = indexblock(indx, lax, lpt2[n].ref-size), avol0[n] = unmapped, lpt2[n0] = mklp(0, m5, LP_FREE, m6), keyset(gch) = gc-heap(lpt2, log1), remove-refsize0(istore0) = istore0, remove-refsize0(gstore0) = gstore0, elems log1 ∩ ginval = ∅, dom gstore0 ∪ elems log1 = dom gstore ∪ ginval, n < # avol0, n0 < # avol0, ginval < # avol0, abs-gstore(avol0, lpt2, gstore, ginval), abs-istore(avol0, lpt2, istore), awbuf-inv(avol0, buffered(n)), bin-heap-inv(gch, lpt2), buf-ro-rw-mode(false, buffered(n), lpt2, avol0), bufs-log-only(buffered(n), log1, lpt2), flash-lpt-cons(lpt0, istore0, gstore0), freelist-cons(lpt2, n0 ' + nx0), inv(istore0), inv(istore), inv(gstore0), inv(gstore \ ginval), inv(indexblock(indx, lax, lpt2[n].ref-size)), log-group-block(log1, lpt2), lpt-free-unref(lpt0), lpt-free-unref(lpt2), lpt-leb-size(lpt0), lpt-leb-size(lpt2), lpt-ram-flash(lpt2, lpt0, log1), synced(avol0), n ∈ istore, istore0 ⊑ istore ⊦ n = n0, dups(log1)

Rule argument

Additional information

Used simplifier rules: fwd-inv-iblock: ⊦ inv(istore) ∧ n ∈ istore ∧ istore[n] = iblock → inv(iblock); (forward) from specification apersistence-base