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Proof step 35 from proof refine-add-gnds (previous step)

# lpt0 = # avol, # lpt1 = # avol, isbuf0 ↔ pstate = readonly, isbuf2 ↔ pstate = readonly, lpt1[bleb.leb] = mklp(m3, m1, lpf, m2), adr = adr0, ax = ax0, isbuf0, keyset(gch) = gc-heap(lpt1, log1), log = log1, lpt = lpt0, ns = ns0, remove-refsize0(gstore0) = gstore0, remove-refsize0(istore0) = istore0, elems log1 ∩ ginval = ∅, dom gstore0 ∪ elems log1 = dom gstore ∪ ginval, ginval < # avol, abs-gstore(avol, lpt1, gstore, ginval), abs-istore(avol, lpt1, istore), awbuf-inv(avol, bleb), bin-heap-inv(gch, lpt1), buf-ro-rw-mode(isbuf2, bleb, lpt1, avol), buf-ro-rw-mode(pstate = readonly, bleb, lpt1, avol), bufs-log-only(bleb, log1, lpt1), flash-lpt-cons(lpt0, istore0, gstore0), freelist-cons(lpt1, freelist), inv(gstore \ ginval), inv(gstore0), inv(istore), inv(istore0), 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), istore0 ⊑ istore, pstate ≠ readonly → bleb.isbuf? ∧ bleb.leb < # avol ∧ lpf = LP_GROUP_NODES ∧ bleb.leb ∈ log1 ∧ avol[bleb.leb].mapped? ∧ (gndx0 ≠ [] ∧ m1 + gndx0.flashsize ≤ LEB_SIZE → m1 = # avol[bleb.leb].data), isbuf1 → synced(avol), pstate = unbuffered → bleb = nobuffer, pstate ≠ unbuffered ∧ pstate ≠ readonly → bleb = buffered(pstate.lnum), pstate.journal? → log1 ≠ [] ∧ pstate.lnum = log1.last ∧ pstate.lnum ∈ gstore, pstate.index? → pstate.lnum ∈ istore, pstate = unbuffered → isbuf1, pstate.journal? ∨ pstate = readonly ⊦ ⟨apersistence_add_gnds#(gndx0, adr0, istore, istore0, ginval, gstore0, log1, m, ns0; ax0, gstore, pstate, isbuf1; err0)⟩ ( abs-istore(avol, lpt1, istore) ∧ abs-gstore(avol, lpt1, gstore, ginval) ∧ ginval < # lpt1 ∧ (isbuf1 → synced(avol)) ∧ (pstate = unbuffered → bleb = nobuffer) ∧ (pstate = readonly ↔ isbuf2) ∧ (pstate ≠ unbuffered ∧ pstate ≠ readonly → bleb = buffered(pstate.lnum)) ∧ ax = ax0 ∧ EROFS = err0), dups(log1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 36:
# lpt0 = # avol, # lpt1 = # avol, lpt1[bleb.leb] = mklp(m3, m1, lpf, m2), ax = ax0, keyset(gch) = gc-heap(lpt1, log1), pstate = readonly, remove-refsize0(gstore0) = gstore0, remove-refsize0(istore0) = istore0, elems log1 ∩ ginval = ∅, dom gstore0 ∪ elems log1 = dom gstore ∪ ginval, ginval < # avol, abs-gstore(avol, lpt1, gstore, ginval), abs-istore(avol, lpt1, istore), awbuf-inv(avol, bleb), bin-heap-inv(gch, lpt1), buf-ro-rw-mode(true, bleb, lpt1, avol), bufs-log-only(bleb, log1, lpt1), flash-lpt-cons(lpt0, istore0, gstore0), freelist-cons(lpt1, freelist), inv(gstore \ ginval), inv(gstore0), inv(istore), inv(istore0), 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), istore0 ⊑ istore, ¬ dups(log1), isbuf1 → synced(avol) ⊦ ⟨apersistence_add_gnds#(gndx0, adr0, istore, istore0, ginval, gstore0, log1, m, ns0; ax0, gstore, pstate, isbuf1; err0)⟩ (abs-gstore(avol, lpt1, gstore, ginval) ∧ (isbuf1 → synced(avol)) ∧ pstate = readonly ∧ ax = ax0 ∧ EROFS = err0)

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ readonly.index?; (s)% ⊦ ¬ readonly.journal?; (s)% ⊦ unbuffered ≠ readonly; (s)%⊦ buf-ro-rw-mode(boolvar, bleb, lpt, avol) → buf-ro-rw-mode(true, bleb, lpt, avol); (s)