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Proof step 84 from proof inv-sync (previous step)

# lpt1 = # avol0, # lpt0 = # avol0, EB_PAGE_SIZE = # buf1 + # buf % EB_PAGE_SIZE, avol0[n1] = mapped(buf), lpt1[n1] = mklp(m3, # buf, lpf, m4), keyset(gch) = gc-heap(lpt1, log0), buf1 ≠ mkbuf(0), lpf ≠ LP_FREE, n ≠ 0, n < # buf1, n1 < # avol0, abs-padding(buf1), awbuf-inv(avol0, buffered(n1)), awbuf-inv(avol0[n1, mapped(buf + subarray(buf1, 0, n))], buffered(n1)), bin-heap-inv(gch, lpt1), buf-ro-rw-mode(false, buffered(n1), lpt1, avol0), bufs-log-only(buffered(n1), log0, lpt1), freelist-cons(lpt1, freelist), is-aligned(# buf + n, EB_PAGE_SIZE), is-aligned(# buf, 2 * NODE_HEADER_SIZE), log-group-block(log0, lpt1), lpt-free-unref(lpt0), lpt-free-unref(lpt1), lpt-leb-size(lpt0), lpt-leb-size(lpt1), lpt-ram-flash(lpt1, lpt0, log0), # buf ≤ LEB_SIZE, # buf + # buf1 ≤ LEB_SIZE, ⌊err0⌋ , ¬ is-aligned(# buf, EB_PAGE_SIZE) ⊦ ⟪awbuf_enter_readonly# (adr, m2, log0, avol0[buffered(n1).leb, mapped(avol0[buffered(n1).leb].data + subarray(buf1, 0, n))], lpt0, ns, buffered(n1); ; isbuf1)⟫ ( (lpt1[n1].flags = LP_FREE → lpt1[n1].ref-size = 0) ∧ freelist-cons(lpt1[n1, mklp(lpt1[n1].ref-size, LEB_SIZE, lpt1[n1].flags, lpt1[n1].gcheapidx)], freelist) ∧ bin-heap-inv(gch, lpt1[n1, mklp(lpt1[n1].ref-size, LEB_SIZE, lpt1[n1].flags, lpt1[n1].gcheapidx)]) ∧ keyset(gch) = gc-heap(lpt1[n1, mklp(lpt1[n1].ref-size, LEB_SIZE, lpt1[n1].flags, lpt1[n1].gcheapidx)], log0) ∧ log-group-block(log0, lpt1[n1, mklp(lpt1[n1].ref-size, LEB_SIZE, lpt1[n1].flags, lpt1[n1].gcheapidx)]) ∧ buf-ro-rw-mode (isbuf1, buffered(n1), lpt1[n1, mklp(lpt1[n1].ref-size, LEB_SIZE, lpt1[n1].flags, lpt1[n1].gcheapidx)], avol0[n1, mapped(avol0[n1].data + subarray(buf1, 0, n))]) ∧ lpt-ram-flash(lpt1[n1, mklp(lpt1[n1].ref-size, LEB_SIZE, lpt1[n1].flags, lpt1[n1].gcheapidx)], lpt0, log0))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 85:
# lpt0 = # avol0, # lpt1 = # avol0, EB_PAGE_SIZE = # buf1 + # buf % EB_PAGE_SIZE, lpt1[n1] = mklp(m3, # buf, lpf, m4), avol0[n1] = mapped(buf), lpt1[n1] = mklp(m, m0, lpf0, m1), keyset(gch) = gc-heap(lpt1, log0), n1 < # avol0, n < # buf1, abs-padding(buf1), awbuf-inv(avol0[n1, mapped(buf + subarray(buf1, 0, n))], buffered(n1)), awbuf-inv(avol0, buffered(n1)), bin-heap-inv(gch, lpt1), buf-ro-rw-mode(false, buffered(n1), lpt1, avol0), bufs-log-only(buffered(n1), log0, lpt1), freelist-cons(lpt1, freelist), is-aligned(# buf, 2 * NODE_HEADER_SIZE), is-aligned(# buf + n, EB_PAGE_SIZE), log-group-block(log0, lpt1), lpt-free-unref(lpt1), lpt-free-unref(lpt0), lpt-leb-size(lpt1), lpt-leb-size(lpt0), lpt-ram-flash(lpt1, lpt0, log0), # buf + # buf1 ≤ LEB_SIZE, # buf ≤ LEB_SIZE, ⌊err0⌋ ⊦ ⟪awbuf_enter_readonly# (adr, m2, log0, avol0[buffered(n1).leb, mapped(avol0[buffered(n1).leb].data + subarray(buf1, 0, n))], lpt0, ns, buffered(n1); ; isbuf1)⟫ ( (lpf0 = LP_FREE → m = 0) ∧ freelist-cons(lpt1[n1, mklp(m, LEB_SIZE, lpf0, m1)], freelist) ∧ bin-heap-inv(gch, lpt1[n1, mklp(m, LEB_SIZE, lpf0, m1)]) ∧ keyset(gch) = gc-heap(lpt1[n1, mklp(m, LEB_SIZE, lpf0, m1)], log0) ∧ log-group-block(log0, lpt1[n1, mklp(m, LEB_SIZE, lpf0, m1)]) ∧ buf-ro-rw-mode(isbuf1, buffered(n1), lpt1[n1, mklp(m, LEB_SIZE, lpf0, m1)], avol0[n1, mapped(avol0[n1].data + subarray(buf1, 0, n))]) ∧ lpt-ram-flash(lpt1[n1, mklp(m, LEB_SIZE, lpf0, m1)], lpt0, log0)), buf1 = mkbuf(0), lpf = LP_FREE, n = 0, is-aligned(# buf, EB_PAGE_SIZE)

Rule argument

spec: lprops name: elim seq: ⊦ ((m = lp.ref-size ∧ m0 = lp.size) ∧ lpf = lp.flags) ∧ m1 = lp.gcheapidx ↔ lp = mklp(m, m0, lpf, m1) subst: [lp, m, m0, lpf, m1] → [lpt1[n1], m, m0, lpf0, m3]

Additional information

Used simplifier rules: ⊦ ((m = lp.ref-size ∧ m0 = lp.size) ∧ lpf = lp.flags) ∧ m1 = lp.gcheapidx ↔ lp = mklp(m, m0, lpf, m1); (elim) Used terms: lpt1[n1], m, m0, lpf0, m3