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Proof step 158 from proof refine-commit (previous step)

# lpt1 = # avol, # lpt2 = # avol, # lpt0 = # avol, err = ESUCCESS ↔ ¬ isbuf0, isbuf ↔ false, isbuf0 ↔ true, adr = adr3, bleb = nobuffer, err = err0, keyset(gch) = gc-heap(lpt2, log), keyset(gch) = gc-heap(lpt2, log1), log = log1, log0 = log, log0 = log1, lpt = lpt0, lpt1 = lpt, maxino = m, ns = ns4, remove-refsize0(gstore0) = gstore0, remove-refsize0(istore0) = istore0, dom remove-refsize0(gstore) ∩ ginval = ∅, elems log1 ∩ ginval = ∅, dom gstore0 ∪ elems log1 = dom gstore ∪ ginval, ginval < # avol, abs-gstore(avol, lpt2, gstore, ginval), abs-istore(avol, lpt2, istore), awbuf-inv(avol, bleb), awbuf-inv(avol, nobuffer), awbuf-inv(avol, bleb0), bin-heap-inv(gch, lpt2), buf-ro-rw-mode(isbuf0, bleb, lpt2, avol), buf-ro-rw-mode(false, bleb0, lpt2, avol), bufs-log-only(bleb, log, lpt2), bufs-log-only(bleb0, log1, lpt2), flash-lpt-cons(lpt0, istore0, gstore0), freelist-cons(lpt2, freelist), inv(gstore \ ginval), inv(gstore0), inv(istore), inv(istore0), log-group-block(log, lpt2), log-group-block(log1, lpt2), lpt-free-unref(lpt1), lpt-free-unref(lpt0), lpt-free-unref(lpt2), lpt-leb-size(lpt1), lpt-leb-size(lpt0), lpt-leb-size(lpt2), lpt-ram-flash(lpt2, lpt1, log), lpt-ram-flash(lpt2, lpt0, log1), synced(avol), istore0 ⊑ istore, err = ESUCCESS → bleb = nobuffer, pstate = unbuffered → bleb0 = nobuffer, pstate.journal? → log1 ≠ [] ∧ pstate.lnum = log1.last ∧ pstate.lnum ∈ gstore, pstate.index? → pstate.lnum ∈ istore, pstate ≠ unbuffered → bleb0 = buffered(pstate.lnum), err = ESUCCESS ∨ ⌊err⌋ , ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟨apersistence_commit#(adr2, m2, true; ns2, istore, ginval, gstore, adr3, istore0, gstore0, log1, maxino, ns4; pstate, err1)⟩ ( abs-istore(avol, lpt2, istore) ∧ abs-gstore(avol, lpt2, gstore, ginval) ∧ adr3 = adr ∧ maxino = m ∧ log1 = log ∧ ginval < # lpt2 ∧ ns4 = ns ∧ flash-lpt-cons(lpt1, istore0, gstore0) ∧ synced(avol) ∧ (pstate = unbuffered → bleb = nobuffer) ∧ (pstate = readonly ↔ isbuf0) ∧ (pstate ≠ unbuffered ∧ pstate ≠ readonly → bleb = buffered(pstate.lnum)) ∧ ns0 = ns2 ∧ err = err1), err = ESUCCESS, pstate = readonly, dups(log1), dups(log)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 159:
# lpt2 = # avol, # lpt0 = # avol, adr = adr3, keyset(gch) = gc-heap(lpt2, log), log1 = log, maxino = m, ns = ns4, remove-refsize0(istore0) = istore0, remove-refsize0(gstore0) = gstore0, elems log ∩ ginval = ∅, dom remove-refsize0(gstore) ∩ ginval = ∅, dom gstore0 ∪ elems log = dom gstore ∪ ginval, pstate ≠ readonly, ginval < # avol, abs-gstore(avol, lpt2, gstore, ginval), abs-istore(avol, lpt2, istore), awbuf-inv(avol, bleb0), awbuf-inv(avol, nobuffer), bin-heap-inv(gch, lpt2), buf-ro-rw-mode(false, bleb0, lpt2, avol), bufs-log-only(bleb0, log, lpt2), flash-lpt-cons(lpt0, istore0, gstore0), freelist-cons(lpt2, freelist), inv(istore0), inv(istore), inv(gstore0), inv(gstore \ ginval), log-group-block(log, lpt2), lpt-free-unref(lpt2), lpt-free-unref(lpt0), lpt-leb-size(lpt2), lpt-leb-size(lpt0), lpt-ram-flash(lpt2, lpt0, log), synced(avol), istore0 ⊑ istore, ⌊err0⌋ , ¬ dups(log), pstate ≠ unbuffered → bleb0 = buffered(pstate.lnum), pstate.index? → pstate.lnum ∈ istore, pstate.journal? → log ≠ [] ∧ pstate.lnum = log.last ∧ pstate.lnum ∈ gstore, pstate = unbuffered → bleb0 = nobuffer ⊦ ⟨apersistence_commit#(adr2, m2, true; ns2, istore, ginval, gstore, adr3, istore0, gstore0, log1, maxino, ns4; pstate, err1)⟩ ( abs-istore(avol, lpt2, istore) ∧ abs-gstore(avol, lpt2, gstore, ginval) ∧ adr3 = adr ∧ maxino = m ∧ log1 = log ∧ ginval < # avol ∧ ns4 = ns ∧ flash-lpt-cons(lpt0, istore0, gstore0) ∧ pstate = readonly ∧ ns0 = ns2 ∧ err0 = err1)

Rule argument

Additional information

Used simplifier rules: ⊦ unbuffered ≠ readonly; (s)% ⊦ awbuf-inv(avol, nobuffer) → (synced(avol) ↔ true); (ss)% ⊦ ⌊err⌋ → err ≠ ESUCCESS; (s)% ⊦ buf-ro-rw-mode(boolvar, nobuffer, lpt, avol); (s)% ⊦ bufs-log-only(bleb, nx, lpt) → bufs-log-only(nobuffer, nx, lpt); (s)