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Proof step 122 from proof refine-add-ind (previous step)

# lpt1 = # avol, # buf1 = 2 * NODE_HEADER_SIZE + ind.alignedsize, # lpt0 = # avol, 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-node(buf1, ind), 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) ∈ lax, # buf0 + # buf1 ≤ LEB_SIZE, istore0 ⊑ istore, isbuf1 → synced(avol), ∀ n. (n < # avol ∧ lpt1[n].flags = LP_INDEX_NODES ↔ n ∈ istore) ∧ (n ∈ istore → abs-leb(avol[n], istore[n], lpt1[n]) ∧ lpt1[n].ref-size = istore[n].ref-size) ⊦ dups(log1)

User applied rule all left

And obtained the following new goals

Proof step 123:
# lpt0 = # avol, # buf1 = 2 * NODE_HEADER_SIZE + ind.alignedsize, # lpt1 = # avol, m1 < # avol ∧ lpt1[m1].flags = LP_INDEX_NODES ↔ m1 ∈ istore, 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-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), m1 ∈ istore → abs-leb(avol[m1], istore[m1], lpt1[m1]) ∧ lpt1[m1].ref-size = istore[m1].ref-size ⊦ dups(log1)

Rule argument

pos: left 40 terms: m1 abort: F discard: T computed: T

Additional information

Used terms: m1