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Proof step 198 from proof refine-sync (previous step)

# lpt1 = # avol0, # lpt0 = # avol0, isbuf1 ↔ false, EB_PAGE_SIZE = # buf1 + # buf % EB_PAGE_SIZE, avol0[pstate.lnum] = mapped(buf), lpt1[pstate.lnum] = mklp(m0, # buf, lpf0, m3), adr = adr0, avol = avol0[buffered(pstate.lnum).leb, mapped(avol0[buffered(pstate.lnum).leb].data + subarray(buf1, 0, n))], bleb = buffered(pstate.lnum), keyset(gch) = gc-heap(lpt1[pstate.lnum, mklp(m0, LEB_SIZE, lpf0, m3)], log1), keyset(gch) = gc-heap(lpt1, log1), log = log1, lpt = lpt0, m = m2, ns = ns0, pstate0 = pstate, remove-refsize0(istore0) = istore0, remove-refsize0(gstore0) = gstore0, elems log1 ∩ ginval = ∅, dom gstore0 ∪ elems log1 = dom gstore ∪ ginval, buffered(pstate.lnum).isbuf?, avol0[buffered(pstate.lnum).leb].mapped?, ginval < # avol0, n < # buf1, pstate.lnum < # avol0, buffered(pstate.lnum).leb < # avol0, abs-gstore(avol0, lpt1, gstore, ginval), abs-istore(avol0, lpt1, istore), abs-padding(buf1), awbuf-inv(avol0[pstate.lnum, mapped(avol0[pstate.lnum].data + subarray(buf1, 0, n))], buffered(pstate.lnum)), awbuf-inv(avol0, buffered(pstate.lnum)), bin-heap-inv(gch, lpt1), buf-ro-rw-mode (true, buffered(pstate.lnum), lpt1[pstate.lnum, mklp(m0, LEB_SIZE, lpf0, m3)], avol0[pstate.lnum, mapped(avol0[pstate.lnum].data + subarray(buf1, 0, n))]), buf-ro-rw-mode(false, buffered(pstate.lnum), lpt1, avol0), bufs-log-only(buffered(pstate.lnum), log1, lpt1), flash-lpt-cons(lpt0, istore0, gstore0), freelist-cons(lpt1, freelist), inv(istore0), inv(istore), inv(gstore0), inv(gstore \ ginval), is-aligned(# buf + n, EB_PAGE_SIZE), is-aligned(# buf, 2 * NODE_HEADER_SIZE), log-group-block(log1, lpt1[pstate.lnum, mklp(m0, LEB_SIZE, lpf0, m3)]), 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, lpf0, m3)], lpt0, log1), lpt-ram-flash(lpt1, lpt0, log1), # buf + # buf1 ≤ LEB_SIZE, # buf ≤ LEB_SIZE, 0 + n ≤ # buf1, istore0 ⊑ istore, ⌊err0⌋ , pstate.index? → pstate.lnum ∈ istore, pstate.journal? → log1 ≠ [] ∧ pstate.lnum = log1.last ∧ pstate.lnum ∈ gstore, pstate.index? ∨ pstate.journal? ⊦ ⟨pstate1 := pstate; pstate2 := pstate; apersistence_sync#(adr0, istore, istore0, ginval, gstore, gstore0, log1, m2, ns0; pstate, isbuf1; err1)⟩ ( abs-istore (avol0[pstate1.lnum, mapped(avol0[pstate1.lnum].data + subarray(buf1, 0, n))], lpt1[pstate2.lnum, mklp(lpt1[pstate2.lnum].ref-size, LEB_SIZE, lpt1[pstate2.lnum].flags, lpt1[pstate2.lnum].gcheapidx)], istore) ∧ abs-gstore (avol0[pstate1.lnum, mapped(avol0[pstate1.lnum].data + subarray(buf1, 0, n))], lpt1[pstate2.lnum, mklp(lpt1[pstate2.lnum].ref-size, LEB_SIZE, lpt1[pstate2.lnum].flags, lpt1[pstate2.lnum].gcheapidx)], gstore, ginval) ∧ ginval < # lpt1 ∧ (isbuf1 → synced(avol0[pstate1.lnum, mapped(avol0[pstate1.lnum].data + subarray(buf1, 0, n))])) ∧ pstate ≠ unbuffered ∧ (pstate = readonly ↔ true) ∧ (pstate ≠ readonly → pstate0.lnum = pstate.lnum) ∧ err0 = err1), buf1 = mkbuf(0), lpf0 = LP_FREE, n = 0, pstate = unbuffered, pstate = readonly, dups(log1), is-aligned(# buf, EB_PAGE_SIZE)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

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