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Proof step 9 from proof inv-recover (previous step)

# lpt3 = # avol0, # lpt1 = # avol0, adr = adr2, keyset(gch1) = gc-heap(lpt1, log2), log = log2, log0 = log1, lpt = lpt3, m = m4, m0 = m1, ns = ns2, 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 ⊦ [fail_or_success#(; ; err); if err = ESUCCESS then bleb := nobuffer, isbuf := false, adr0 := adr, m0 := m, log0 := log, lpt0 := lpt, ns0 := ns else avol := ?, bleb := ?, isbuf := ?, adr := ?, m := ?, log := ?, lpt := ?, adr0 := ?, m0 := ?, log0 := ?, lpt0 := ?, ns0 := ?, ns := ?] ( (err = ESUCCESS → synced(avol) ∧ awbuf-inv(avol, bleb) ∧ # lpt = # avol) → ⟪log3 := log0; if err ≠ ESUCCESS then debug#("persistence: wbuf recover failed") else {awbuf_get_leb_size#(adr, m, log, avol, lpt, ns, bleb, isbuf; ; m2); let log1 = log3 in persistence_replay_log#(m2; log1, lpt0); persistence_replay_lpt#(log3, m2, adr, m, log, lpt, ns, bleb, isbuf; lpt0, avol); persistence_create_freelist#(lpt0; freelist); persistence_create_gcheap#(log3; lpt0, gch)}⟫ ( ( err = ESUCCESS → synced(avol) ∧ lpt-free-unref(lpt0) ∧ lpt-free-unref(lpt) ∧ freelist-cons(lpt0, freelist) ∧ log3 = 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) ∧ m2 = LEB_SIZE ∧ awbuf-inv(avol, bleb) ∧ # lpt = # avol) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ ( err = ESUCCESS → # avol = # avol0 ∧ adr0 = adr2 ∧ adr = adr2 ∧ m0 = m4 ∧ m = m4 ∧ log0 = log2 ∧ log = log2 ∧ ns0 = ns2 ∧ ns = ns2 ∧ lpt = lpt3 ∧ bleb = nobuffer ∧ id-idx(replay-lpt(replay-log(lpt3, log2), log2, # avol0), lpt0)))), dups(log2)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 10:
# lpt1 = # avol0, # lpt3 = # avol0, adr = adr2, keyset(gch1) = gc-heap(lpt1, log2), log = log2, log0 = log1, lpt = lpt3, m = m4, m0 = m1, ns = ns2, 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(lpt1), lpt-free-unref(lpt3), lpt-leb-size(lpt1), lpt-leb-size(lpt3), lpt-ram-flash(lpt1, lpt3, log2), synced(avol0), avol ↓ avol0 ⊦ [choose err0 with ⌊err0⌋ ∨ err0 = ESUCCESS in err := err0; if err = ESUCCESS then bleb := nobuffer, isbuf := false, adr0 := adr, m0 := m, log0 := log, lpt0 := lpt, ns0 := ns else avol := ?, bleb := ?, isbuf := ?, adr := ?, m := ?, log := ?, lpt := ?, adr0 := ?, m0 := ?, log0 := ?, lpt0 := ?, ns0 := ?, ns := ?] ( (err = ESUCCESS → synced(avol) ∧ awbuf-inv(avol, bleb) ∧ # lpt = # avol) → ⟪log3 := log0; if err ≠ ESUCCESS then debug#("persistence: wbuf recover failed") else {awbuf_get_leb_size#(adr, m, log, avol, lpt, ns, bleb, isbuf; ; m2); let log1 = log3 in persistence_replay_log#(m2; log1, lpt0); persistence_replay_lpt#(log3, m2, adr, m, log, lpt, ns, bleb, isbuf; lpt0, avol); persistence_create_freelist#(lpt0; freelist); persistence_create_gcheap#(log3; lpt0, gch)}⟫ ( ( err = ESUCCESS → synced(avol) ∧ lpt-free-unref(lpt0) ∧ lpt-free-unref(lpt) ∧ freelist-cons(lpt0, freelist) ∧ log3 = 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) ∧ m2 = LEB_SIZE ∧ awbuf-inv(avol, bleb) ∧ # lpt = # avol) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ ( err = ESUCCESS → # avol = # avol0 ∧ adr0 = adr2 ∧ adr = adr2 ∧ m0 = m4 ∧ m = m4 ∧ log0 = 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: fail_or_success#(; ; ERR) {choose ERR0 with ⌊ERR0⌋ ∨ ERR0 = ESUCCESS in ERR := ERR0};