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Proof step 50 from proof recovery (previous step)

orphans(fs0, ri1).inodes?, fo0.inodes?, afs-cons(abs-dirs(fs0, ri1), abs-files(fs0, ri1)), file-node-cons(fs0, ri1), log-cons(log0, fs0), orphans-cons(fs0, ri1, orphans(fs0, ri1)), replay-cons-strong(fs0, ri1, orphans(fs0, ri1), fi0, fo0, log0), replay-safe(log0, fs0, fi0 ⊖ fo0), ri-inj(ri1), ri-inj(fi0), ubifs-cons(fs0, ri1, orphans(fs0, ri1), fi0, fo0, log0) ⊦ [aubifs_core_journal_sync#(replay-log(log0, fs0, fi0 ⊖ fo0), fi0, ∅, fo0, fs0, log0; ; boolvar, err0)] ( ( err0 = ESUCCESS → boolvar ∧ ubifs-cons(fs0, replay-log(log0, fs0, fi0 ⊖ fo0), ∅, fi0, fo0, log0) ∧ replay-cons-strong(fs0, replay-log(log0, fs0, fi0 ⊖ fo0), ∅, fi0, fo0, log0) ∧ file-node-cons(fs0, replay-log(log0, fs0, fi0 ⊖ fo0)) ∧ orphans-cons(fs0, replay-log(log0, fs0, fi0 ⊖ fo0), ∅) ∧ ri-inj(replay-log(log0, fs0, fi0 ⊖ fo0))) → (err0 = ESUCCESS ∨ ⌊err0⌋ ) ∧ (err0 = ESUCCESS → boolvar) → ( err0 = ESUCCESS → ⟨dirs := abs-dirs(fs0, ri1) \ abs-keys(orphans(fs0, ri1)), files := abs-files(fs0, ri1) \ abs-keys(orphans(fs0, ri1)); afs_recovery#(boolvar2; dirs, files; asynced, err1)⟩ ( dirs = abs-dirs(fs0, replay-log(log0, fs0, fi0 ⊖ fo0)) ∧ files = abs-files(fs0, replay-log(log0, fs0, fi0 ⊖ fo0)) ∧ orphans(abs-dirs(fs0, replay-log(log0, fs0, fi0 ⊖ fo0)), abs-files(fs0, replay-log(log0, fs0, fi0 ⊖ fo0))) = ∅ ∧ (asynced → boolvar) ∧ ESUCCESS = err1)) ∧ ( err0 ≠ ESUCCESS → (∀ dirs, files, boolvar. ⟨afs_recovery#(boolvar2; dirs1, files1; asynced0, err1)⟩ (dirs = dirs1 ∧ files = files1 ∧ (boolvar ↔ asynced0) ∧ err0 = err1))))

User applied rule call right

And obtained the following new goals

Proof step 51:
fi = fi0, fo = fo0, fs = fs0, log = log0, ri = replay-log(log0, fs0, fi0 ⊖ fo0), ro = ∅, fo0.inodes?, orphans(fs0, ri1).inodes?, afs-cons(abs-dirs(fs0, ri1), abs-files(fs0, ri1)), file-node-cons(fs0, ri1), log-cons(log0, fs0), orphans-cons(fs0, ri1, orphans(fs0, ri1)), replay-cons-strong(fs0, ri1, orphans(fs0, ri1), fi0, fo0, log0), replay-safe(log0, fs0, fi0 ⊖ fo0), ri-inj(fi0), ri-inj(ri1), ubifs-cons(fs0, ri1, orphans(fs0, ri1), fi0, fo0, log0) ⊦ [fail_or_success#(; ; err); boolvar := err = ESUCCESS] ( ( err = ESUCCESS → boolvar ∧ ubifs-cons(fs0, replay-log(log0, fs0, fi0 ⊖ fo0), ∅, fi0, fo0, log0) ∧ replay-cons-strong(fs0, replay-log(log0, fs0, fi0 ⊖ fo0), ∅, fi0, fo0, log0) ∧ file-node-cons(fs0, replay-log(log0, fs0, fi0 ⊖ fo0)) ∧ orphans-cons(fs0, replay-log(log0, fs0, fi0 ⊖ fo0), ∅) ∧ ri-inj(replay-log(log0, fs0, fi0 ⊖ fo0))) → (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → boolvar) → ( err = ESUCCESS → ⟨dirs := abs-dirs(fs0, ri1) \ abs-keys(orphans(fs0, ri1)), files := abs-files(fs0, ri1) \ abs-keys(orphans(fs0, ri1)); afs_recovery#(boolvar2; dirs, files; asynced, err1)⟩ ( dirs = abs-dirs(fs0, replay-log(log0, fs0, fi0 ⊖ fo0)) ∧ files = abs-files(fs0, replay-log(log0, fs0, fi0 ⊖ fo0)) ∧ orphans(abs-dirs(fs0, replay-log(log0, fs0, fi0 ⊖ fo0)), abs-files(fs0, replay-log(log0, fs0, fi0 ⊖ fo0))) = ∅ ∧ (asynced → boolvar) ∧ ESUCCESS = err1)) ∧ ( err ≠ ESUCCESS → (∀ dirs, files, boolvar. ⟨afs_recovery#(boolvar2; dirs1, files1; asynced0, err1)⟩ (dirs = dirs1 ∧ files = files1 ∧ (boolvar ↔ asynced0) ∧ err = err1))))

Rule argument

pos: right 1

Additional information

Used simplifier rules: aubifs_core_journal_sync#(RI, FI, RO, FO, FS, LOG; ; CSYNCED, ERR) {fail_or_success#(; ; ERR); CSYNCED := ERR = ESUCCESS};