Proof step 183 from proof refine-add-gnds (previous step)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

• Proof step 184:

  # lpt1 [buffered((nx + n1 ').last).leb, mklp (lpt1[buffered((nx + n1 ').last).leb].ref-size, LEB_SIZE, lpt1[buffered((nx + n1 ').last).leb].flags, lpt1[buffered((nx + n1 ').last).leb].gcheapidx) ] = # avol, # lpt1 = # avol, # lpt0 = # avol, # buf0 = gndx0.flashsize, # gndx0 = # lax0, (elems nx ∪ dom gstore0) ++ n1 = dom gstore ∪ ginval, gstore[n1] = groupblock(gndx, lax, m1), lpt1[n1] = mklp(m1, # buf1, LP_GROUP_NODES, m2), avol[n1] = mapped(buf1), keyset(gch) = gc-heap (lpt1 [buffered((nx + n1 ').last).leb, mklp (lpt1[buffered((nx + n1 ').last).leb].ref-size, LEB_SIZE, lpt1[buffered((nx + n1 ').last).leb].flags, lpt1[buffered((nx + n1 ').last).leb].gcheapidx) ], nx + n1 '), keyset(gch) = gc-heap(lpt1, nx + n1 '), remove-refsize0(istore0) = istore0, remove-refsize0(gstore0) = gstore0, ginval ∩ elems nx = ∅, buffered((nx + n1 ').last).isbuf?, buffered((nx + n1 ').last).leb < # lpt1, n < gndx0.flashsize, n1 < # avol, ginval < # avol, abs-gstore(avol, lpt1, gstore, ginval), abs-istore(avol, lpt1, istore), abs-nodes(buf0, # buf1, gndx0, lax0, false), awbuf-inv(avol[n1, mapped(avol[n1].data + subarray(buf0, 0, n))], buffered(n1)), awbuf-inv(avol, buffered(n1)), bin-heap-inv (gch, lpt1 [buffered((nx + n1 ').last).leb, mklp (lpt1[buffered((nx + n1 ').last).leb].ref-size, LEB_SIZE, lpt1[buffered((nx + n1 ').last).leb].flags, lpt1[buffered((nx + n1 ').last).leb].gcheapidx) ]), bin-heap-inv(gch, lpt1), buf-ro-rw-mode (true, buffered(n1), lpt1 [buffered((nx + n1 ').last).leb, mklp (lpt1[buffered((nx + n1 ').last).leb].ref-size, LEB_SIZE, lpt1[buffered((nx + n1 ').last).leb].flags, lpt1[buffered((nx + n1 ').last).leb].gcheapidx) ], avol[n1, mapped(avol[n1].data + subarray(buf0, 0, n))]), buf-ro-rw-mode(false, buffered(n1), lpt1, avol), bufs-log-only (buffered(n1), nx + n1 ', lpt1 [buffered((nx + n1 ').last).leb, mklp (lpt1[buffered((nx + n1 ').last).leb].ref-size, LEB_SIZE, lpt1[buffered((nx + n1 ').last).leb].flags, lpt1[buffered((nx + n1 ').last).leb].gcheapidx) ]), bufs-log-only(buffered(n1), nx + n1 ', lpt1), flash-lpt-cons(lpt0, istore0, gstore0), freelist-cons (lpt1 [buffered((nx + n1 ').last).leb, mklp (lpt1[buffered((nx + n1 ').last).leb].ref-size, LEB_SIZE, lpt1[buffered((nx + n1 ').last).leb].flags, lpt1[buffered((nx + n1 ').last).leb].gcheapidx) ], freelist), freelist-cons(lpt1, freelist), inv(groupblock(gndx, lax, m1)), inv(istore0), inv(istore), inv(gstore0), inv(gstore \ ginval), is-aligned(# buf1 + n, EB_PAGE_SIZE), log-group-block (nx + n1 ', lpt1 [buffered((nx + n1 ').last).leb, mklp (lpt1[buffered((nx + n1 ').last).leb].ref-size, LEB_SIZE, lpt1[buffered((nx + n1 ').last).leb].flags, lpt1[buffered((nx + n1 ').last).leb].gcheapidx) ]), log-group-block(nx + n1 ', lpt1), lpt-free-unref (lpt1 [buffered((nx + n1 ').last).leb, mklp (lpt1[buffered((nx + n1 ').last).leb].ref-size, LEB_SIZE, lpt1[buffered((nx + n1 ').last).leb].flags, lpt1[buffered((nx + n1 ').last).leb].gcheapidx) ]), lpt-free-unref(lpt1), lpt-free-unref(lpt0), lpt-leb-size (lpt1 [buffered((nx + n1 ').last).leb, mklp (lpt1[buffered((nx + n1 ').last).leb].ref-size, LEB_SIZE, lpt1[buffered((nx + n1 ').last).leb].flags, lpt1[buffered((nx + n1 ').last).leb].gcheapidx) ]), lpt-leb-size(lpt1), lpt-leb-size(lpt0), lpt-ram-flash (lpt1 [buffered((nx + n1 ').last).leb, mklp (lpt1[buffered((nx + n1 ').last).leb].ref-size, LEB_SIZE, lpt1[buffered((nx + n1 ').last).leb].flags, lpt1[buffered((nx + n1 ').last).leb].gcheapidx) ], lpt0, nx + n1 '), lpt-ram-flash(lpt1, lpt0, nx + n1 '), n1 ∈ gstore, # buf1 + gndx0.flashsize ≤ LEB_SIZE, istore0 ⊑ istore, ⌊err0⌋ , isbuf1 → synced(avol) ⊦ ⟨pstate := journal((nx + n1 ').last); apersistence_add_gnds#(gndx0, adr0, istore, istore0, ginval, gstore0, nx + n1 ', m0, ns0; ax0, gstore, pstate, isbuf1; err1)⟩ ( abs-istore (avol[n1, mapped(avol[n1].data + subarray(buf0, 0, n))], lpt1 [buffered((nx + n1 ').last).leb, mklp (lpt1[buffered((nx + n1 ').last).leb].ref-size, LEB_SIZE, lpt1[buffered((nx + n1 ').last).leb].flags, lpt1[buffered((nx + n1 ').last).leb].gcheapidx) ], istore) ∧ abs-gstore (avol[n1, mapped(avol[n1].data + subarray(buf0, 0, n))], lpt1 [buffered((nx + n1 ').last).leb, mklp (lpt1[buffered((nx + n1 ').last).leb].ref-size, LEB_SIZE, lpt1[buffered((nx + n1 ').last).leb].flags, lpt1[buffered((nx + n1 ').last).leb].gcheapidx) ], gstore, ginval) ∧ ginval < # lpt1 [buffered((nx + n1 ').last).leb, mklp (lpt1[buffered((nx + n1 ').last).leb].ref-size, LEB_SIZE, lpt1[buffered((nx + n1 ').last).leb].flags, lpt1[buffered((nx + n1 ').last).leb].gcheapidx) ] ∧ pstate = readonly ∧ lax0.to-adr(n1) = ax0 ∧ err0 = err1), nx + n1 ' = [], gndx0 = [], n = 0, dups(nx), n1 ∈ nx, n1 ∈ ginval

Rule argument

Additional information