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Proof step 247 from proof refine-sync (previous step)

# lpt0 = # avol0, # lpt1 = # avol0, # gndx = # lax, EB_PAGE_SIZE = # buf1 + # buf % EB_PAGE_SIZE, avol0[pstate.lnum] = mapped(buf), lpt1[pstate.lnum] = mklp(m0, # buf, LP_GROUP_NODES, m7), gstore2[pstate.lnum] = groupblock(gndx, lax, m0), keyset(gch) = gc-heap(lpt1, log1), remove-refsize0(gstore1) = gstore1, remove-refsize0(istore1) = istore1, elems log1 ∩ ginval = ∅, dom gstore1 ∪ elems log1 = dom gstore2 ∪ ginval, n < # buf1, ginval < # avol0, pstate.lnum < # avol0, # buf < LEB_SIZE, abs-istore(avol0, lpt1, istore2), abs-nodes(buf, gndx, lax, false), abs-padding(buf1), awbuf-inv(avol0[pstate.lnum, mapped(buf + subarray(buf1, 0, n))], buffered(pstate.lnum)), awbuf-inv(avol0, 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(gstore2 \ ginval), inv(gstore1), inv(istore2), inv(istore1), inv(groupblock(gndx, lax, m0)), is-aligned(# buf, 2 * NODE_HEADER_SIZE), is-aligned(# buf + n, EB_PAGE_SIZE), 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[pstate.lnum, mklp(m0, LEB_SIZE, LP_GROUP_NODES, m7)], lpt0, log1), pstate.lnum ∈ gstore2, # buf + # buf1 ≤ LEB_SIZE, istore1 ⊑ istore2, ⌊err1⌋ , pstate.index? → pstate.lnum ∈ istore2, pstate.journal? → log1 ≠ [] ∧ pstate.lnum = log1.last, pstate.index? ∨ pstate.journal? ⊦ # buf = LEB_SIZE, buf1 = mkbuf(0), n = 0, pstate = unbuffered, pstate = readonly, dups(log1), is-aligned(# buf, EB_PAGE_SIZE), pstate.lnum ∈ ginval, ∃ buf0, buf2. subarray(buf1, 0, n) = buf0 + buf2 ∧ abs-padding(buf0) ∧ abs-nodes(buf2, # buf + # buf0, [], [], true), # subarray(buf1, 0, n) = 0 ∧ [] = [], true ∧ abs-failed(subarray(buf1, 0, n)) ∧ [] = []

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 248:
# gndx = # lax, # lpt1 = # avol0, # lpt0 = # avol0, EB_PAGE_SIZE = # buf1 + # buf % EB_PAGE_SIZE, gstore2[pstate.lnum] = groupblock(gndx, lax, m0), lpt1[pstate.lnum] = mklp(m0, # buf, LP_GROUP_NODES, m7), avol0[pstate.lnum] = mapped(buf), keyset(gch) = gc-heap(lpt1, log1), remove-refsize0(istore1) = istore1, remove-refsize0(gstore1) = gstore1, elems log1 ∩ ginval = ∅, dom gstore1 ∪ elems log1 = dom gstore2 ∪ ginval, # buf < LEB_SIZE, pstate.lnum < # avol0, ginval < # avol0, n < # buf1, abs-istore(avol0, lpt1, istore2), abs-nodes(buf, gndx, lax, false), 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(groupblock(gndx, lax, m0)), 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(m0, LEB_SIZE, LP_GROUP_NODES, m7)], lpt0, log1), lpt-ram-flash(lpt1, lpt0, log1), pstate.lnum ∈ gstore2, # buf + # buf1 ≤ LEB_SIZE, istore1 ⊑ istore2, ⌊err1⌋ , pstate.journal? → log1 ≠ [] ∧ pstate.lnum = log1.last, pstate.index? → pstate.lnum ∈ istore2, pstate.index? ∨ pstate.journal? ⊦ # buf = LEB_SIZE, buf1 = mkbuf(0), n = 0, pstate = readonly, pstate = unbuffered, abs-failed(subarray(buf1, 0, n)), dups(log1), is-aligned(# buf, EB_PAGE_SIZE), pstate.lnum ∈ ginval, ∃ buf0, buf2. subarray(buf1, 0, n) = buf0 + buf2 ∧ abs-padding(buf0) ∧ abs-nodes(buf2, # buf + # buf0, [], [], true)

Rule argument

Additional information

Used simplifier rules: ⊦ # subarray(buf, m, n) = n; (s)