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Proof step 264 from proof refine-sync (previous step)

# lpt1 = # avol0, # lpt0 = # avol0, n0 < # avol0 ∧ lpf0 = LP_INDEX_NODES ↔ n0 ∈ istore2, EB_PAGE_SIZE = # buf1 + # buf % EB_PAGE_SIZE, istore2[n0] = indexblock(indx, lax, m0), lpt1[pstate.lnum] = mklp(m, # buf, LP_INDEX_NODES, m4), avol0[pstate.lnum] = mapped(buf), lpt1[pstate.lnum, mklp(m, LEB_SIZE, LP_INDEX_NODES, m4)][n0] = mklp(m1, m2, lpf, m3), lpt1[n0] = mklp(m5, m6, lpf0, m7), keyset(gch) = gc-heap(lpt1, log1), remove-refsize0(istore1) = istore1, remove-refsize0(gstore1) = gstore1, elems log1 ∩ ginval = ∅, dom gstore1 ∪ elems log1 = dom gstore2 ∪ ginval, pstate.lnum < # avol0, ginval < # avol0, n < # buf1, abs-gstore(avol0, lpt1, gstore2, ginval), abs-padding(buf1), awbuf-inv(avol0, buffered(pstate.lnum)), awbuf-inv(avol0[pstate.lnum, mapped(buf + subarray(buf1, 0, n))], buffered(pstate.lnum)), bin-heap-inv(gch, lpt1), buf-ro-rw-mode(false, buffered(pstate.lnum), lpt1, avol0), bufs-log-only(buffered(pstate.lnum), log1, lpt1), flash-lpt-cons(lpt0, istore1, gstore1), freelist-cons(lpt1, freelist), inv(istore1), inv(istore2), inv(gstore1), inv(gstore2 \ ginval), is-aligned(# buf + n, EB_PAGE_SIZE), is-aligned(# buf, 2 * NODE_HEADER_SIZE), 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[pstate.lnum, mklp(m, LEB_SIZE, LP_INDEX_NODES, m4)], lpt0, log1), lpt-ram-flash(lpt1, lpt0, log1), # buf + # buf1 ≤ LEB_SIZE, # buf ≤ LEB_SIZE, istore1 ⊑ istore2, ⌊err1⌋ , n0 ∈ istore2 → abs-leb(avol0[n0], indexblock(indx, lax, m5), lpt1[n0]) ∧ m5 = m0, pstate.index? → pstate.lnum ∈ istore2, pstate.journal? → log1 ≠ [] ∧ pstate.lnum = log1.last ∧ pstate.lnum ∈ gstore2, pstate.index? ∨ pstate.journal? ⊦ buf1 = mkbuf(0), n = 0, pstate = readonly, pstate = unbuffered, dups(log1), is-aligned(# buf, EB_PAGE_SIZE), (n0 < # avol0 ∧ lpf = LP_INDEX_NODES ↔ n0 ∈ istore2) ∧ (n0 ∈ istore2 → abs-leb(avol0[pstate.lnum, mapped(buf + subarray(buf1, 0, n))][n0], indexblock(indx, lax, m0), mklp(m0, m2, lpf, m3)) ∧ m1 = m0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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