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Proof step 3 from proof inv-recover (previous step)

# lpt1 = # avol0, # lpt0 = # avol0, adr = adr0, keyset(gch) = gc-heap(lpt1, log0), log = log0, lpt = lpt0, m = m0, ns = ns0, awbuf-inv(avol0, bleb), bin-heap-inv(gch, lpt1), buf-ro-rw-mode(isbuf, bleb, lpt1, avol0), bufs-log-only(bleb, log0, lpt1), freelist-cons(lpt1, log1), log-group-block(log0, lpt1), lpt-free-unref(lpt1), lpt-free-unref(lpt0), lpt-leb-size(lpt1), lpt-leb-size(lpt0), lpt-ram-flash(lpt1, lpt0, log0), synced(avol0), avol ↓ avol0, ¬ dups(log0) ⊦ ⟪persistence_recover#(; adr1, m2, log3, ns1, log4, lpt2, freelist, gch0, m3, adr, m, log, avol, lpt, ns, bleb0, isbuf0; err)⟫ ( ( err = ESUCCESS → synced(avol) ∧ lpt-free-unref(lpt2) ∧ lpt-free-unref(lpt) ∧ freelist-cons(lpt2, freelist) ∧ log4 = log ∧ bin-heap-inv(gch0, lpt2) ∧ keyset(gch0) = gc-heap(lpt2, log) ∧ bufs-log-only(bleb0, log, lpt2) ∧ # lpt2 = # avol ∧ ¬ dups(log) ∧ log-group-block(log, lpt2) ∧ buf-ro-rw-mode(isbuf0, bleb0, lpt2, avol) ∧ lpt-leb-size(lpt2) ∧ lpt-leb-size(lpt) ∧ lpt-ram-flash(lpt2, lpt, log) ∧ m3 = LEB_SIZE ∧ awbuf-inv(avol, bleb0) ∧ # lpt = # avol) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ ( err = ESUCCESS → # avol = # avol0 ∧ adr1 = adr0 ∧ adr = adr0 ∧ m2 = m0 ∧ m = m0 ∧ log3 = log0 ∧ log = log0 ∧ ns1 = ns0 ∧ ns = ns0 ∧ lpt = lpt0 ∧ bleb0 = nobuffer ∧ id-idx(replay-lpt(replay-log(lpt0, log0), log0, # avol0), lpt2)))

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 4:
# lpt3 = # avol0, # lpt1 = # avol0, isbuf ↔ isbuf0, adr = adr2, adr0 = adr1, bleb = bleb0, gch = gch0, keyset(gch1) = gc-heap(lpt1, log2), log = log2, log0 = log4, log1 = log3, lpt = lpt3, lpt0 = lpt2, m = m4, m0 = m3, m1 = m2, ns = ns2, ns0 = ns1, awbuf-inv(avol0, bleb1), bin-heap-inv(gch1, lpt1), buf-ro-rw-mode(isbuf1, bleb1, lpt1, avol0), bufs-log-only(bleb1, log2, lpt1), freelist-cons(lpt1, log5), log-group-block(log2, lpt1), lpt-free-unref(lpt3), lpt-free-unref(lpt1), lpt-leb-size(lpt3), lpt-leb-size(lpt1), lpt-ram-flash(lpt1, lpt3, log2), synced(avol0), avol ↓ avol0 ⊦ ⟪awbuf_recover#(; adr0, m1, ns0, log1, lpt0, adr, m, log, lpt, ns, avol; bleb, isbuf, err); log0 := log1; if err ≠ ESUCCESS then debug#("persistence: wbuf recover failed") else {awbuf_get_leb_size#(adr, m, log, avol, lpt, ns, bleb, isbuf; ; m0); let log1 = log0 in persistence_replay_log#(m0; log1, lpt0); persistence_replay_lpt#(log0, m0, adr, m, log, lpt, ns, bleb, isbuf; lpt0, avol); persistence_create_freelist#(lpt0; freelist); persistence_create_gcheap#(log0; lpt0, gch)}⟫ ( ( err = ESUCCESS → synced(avol) ∧ lpt-free-unref(lpt0) ∧ lpt-free-unref(lpt) ∧ freelist-cons(lpt0, freelist) ∧ log0 = log ∧ bin-heap-inv(gch, lpt0) ∧ keyset(gch) = gc-heap(lpt0, log) ∧ bufs-log-only(bleb, log, lpt0) ∧ # lpt0 = # avol ∧ ¬ dups(log) ∧ log-group-block(log, lpt0) ∧ buf-ro-rw-mode(isbuf, bleb, lpt0, avol) ∧ lpt-leb-size(lpt0) ∧ lpt-leb-size(lpt) ∧ lpt-ram-flash(lpt0, lpt, log) ∧ m0 = LEB_SIZE ∧ awbuf-inv(avol, bleb) ∧ # lpt = # avol) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ ( err = ESUCCESS → # avol = # avol0 ∧ adr0 = adr2 ∧ adr = adr2 ∧ m1 = m4 ∧ m = m4 ∧ log1 = log2 ∧ log = log2 ∧ ns0 = ns2 ∧ ns = ns2 ∧ lpt = lpt3 ∧ bleb = nobuffer ∧ id-idx(replay-lpt(replay-log(lpt3, log2), log2, # avol0), lpt0))), dups(log2)

Rule argument

pos: right 1

Additional information

Used simplifier rules: recover: ⊦ ;