Proof step 290 from proof refine-sync (previous step)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

• Proof step 291:

  # lpt1 = # avol, # lpt0 = # avol, EB_PAGE_SIZE = # buf1 + # buf % EB_PAGE_SIZE, lpt1[pstate.lnum] = mklp(m1, # buf, lpf, m4), avol[pstate.lnum] = mapped(buf), keyset(gch) = gc-heap(lpt1, log1), remove-refsize0(istore0) = istore0, remove-refsize0(gstore0) = gstore0, elems log1 ∩ ginval = ∅, dom gstore0 ∪ elems log1 = dom gstore ∪ ginval, buffered(pstate.lnum).isbuf?, buffered(pstate.lnum).leb < # lpt1, pstate.lnum < # avol, ginval < # avol, abs-gstore(avol, lpt1, gstore, ginval), abs-istore(avol, lpt1, istore), abs-padding(buf1), awbuf-inv(avol, buffered(pstate.lnum)), bin-heap-inv(gch, lpt1), buf-ro-rw-mode(false, buffered(pstate.lnum), lpt1, avol), 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, 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, lpt0, log1), # buf + # buf1 ≤ LEB_SIZE, # buf ≤ LEB_SIZE, istore0 ⊑ istore, ⌊err0⌋ , pstate.index? → pstate.lnum ∈ istore, pstate.journal? → log1 ≠ [] ∧ pstate.lnum = log1.last ∧ pstate.lnum ∈ gstore, ∀ n. n = 0 ∨ ¬ n < # buf1 ∨ ¬ is-aligned(# buf + n, EB_PAGE_SIZE), pstate.index? ∨ pstate.journal? ⊦ [awbuf_enter_readonly#(adr0, m2, log1, avol, lpt0, ns0, buffered(pstate.lnum); ; isbuf2)] ( lpt-free-unref (lpt1 [buffered(pstate.lnum).leb, mklp(lpt1[buffered(pstate.lnum).leb].ref-size, LEB_SIZE, lpt1[buffered(pstate.lnum).leb].flags, lpt1[buffered(pstate.lnum).leb].gcheapidx) ]) ∧ freelist-cons (lpt1 [buffered(pstate.lnum).leb, mklp(lpt1[buffered(pstate.lnum).leb].ref-size, LEB_SIZE, lpt1[buffered(pstate.lnum).leb].flags, lpt1[buffered(pstate.lnum).leb].gcheapidx) ], freelist) ∧ bin-heap-inv (gch, lpt1 [buffered(pstate.lnum).leb, mklp(lpt1[buffered(pstate.lnum).leb].ref-size, LEB_SIZE, lpt1[buffered(pstate.lnum).leb].flags, lpt1[buffered(pstate.lnum).leb].gcheapidx) ]) ∧ keyset(gch) = gc-heap (lpt1 [buffered(pstate.lnum).leb, mklp (lpt1[buffered(pstate.lnum).leb].ref-size, LEB_SIZE, lpt1[buffered(pstate.lnum).leb].flags, lpt1[buffered(pstate.lnum).leb].gcheapidx) ], log1) ∧ bufs-log-only (buffered(pstate.lnum), log1, lpt1 [buffered(pstate.lnum).leb, mklp(lpt1[buffered(pstate.lnum).leb].ref-size, LEB_SIZE, lpt1[buffered(pstate.lnum).leb].flags, lpt1[buffered(pstate.lnum).leb].gcheapidx) ]) ∧ # lpt1 [buffered(pstate.lnum).leb, mklp (lpt1[buffered(pstate.lnum).leb].ref-size, LEB_SIZE, lpt1[buffered(pstate.lnum).leb].flags, lpt1[buffered(pstate.lnum).leb].gcheapidx) ] = # avol ∧ log-group-block (log1, lpt1 [buffered(pstate.lnum).leb, mklp(lpt1[buffered(pstate.lnum).leb].ref-size, LEB_SIZE, lpt1[buffered(pstate.lnum).leb].flags, lpt1[buffered(pstate.lnum).leb].gcheapidx) ]) ∧ buf-ro-rw-mode (isbuf2, buffered(pstate.lnum), lpt1 [buffered(pstate.lnum).leb, mklp(lpt1[buffered(pstate.lnum).leb].ref-size, LEB_SIZE, lpt1[buffered(pstate.lnum).leb].flags, lpt1[buffered(pstate.lnum).leb].gcheapidx) ], avol) ∧ lpt-leb-size (lpt1 [buffered(pstate.lnum).leb, mklp(lpt1[buffered(pstate.lnum).leb].ref-size, LEB_SIZE, lpt1[buffered(pstate.lnum).leb].flags, lpt1[buffered(pstate.lnum).leb].gcheapidx) ]) ∧ lpt-ram-flash (lpt1 [buffered(pstate.lnum).leb, mklp(lpt1[buffered(pstate.lnum).leb].ref-size, LEB_SIZE, lpt1[buffered(pstate.lnum).leb].flags, lpt1[buffered(pstate.lnum).leb].gcheapidx) ], lpt0, log1) → ⟨isbuf1 := false; pstate0 := pstate; pstate1 := pstate; apersistence_sync#(adr0, istore, istore0, ginval, gstore, gstore0, log1, m2, ns0; pstate, isbuf1; err1)⟩ ( abs-istore (avol, lpt1 [buffered(pstate1.lnum).leb, mklp (lpt1[buffered(pstate1.lnum).leb].ref-size, LEB_SIZE, lpt1[buffered(pstate1.lnum).leb].flags, lpt1[buffered(pstate1.lnum).leb].gcheapidx) ], istore) ∧ abs-gstore (avol, lpt1 [buffered(pstate1.lnum).leb, mklp (lpt1[buffered(pstate1.lnum).leb].ref-size, LEB_SIZE, lpt1[buffered(pstate1.lnum).leb].flags, lpt1[buffered(pstate1.lnum).leb].gcheapidx) ], gstore, ginval) ∧ ginval < # lpt1 [buffered(pstate1.lnum).leb, mklp (lpt1[buffered(pstate1.lnum).leb].ref-size, LEB_SIZE, lpt1[buffered(pstate1.lnum).leb].flags, lpt1[buffered(pstate1.lnum).leb].gcheapidx) ] ∧ (isbuf1 → synced(avol)) ∧ pstate ≠ unbuffered ∧ (pstate = readonly ↔ isbuf2) ∧ (pstate ≠ readonly → pstate0.lnum = pstate.lnum) ∧ err0 = err1)), buf1 = mkbuf(0), lpf = LP_FREE, pstate = unbuffered, pstate = readonly, dups(log1), is-aligned(# buf, EB_PAGE_SIZE)

Rule argument

Additional information