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Proof step 120 from proof recovery (previous step)

fo0.inodes?, orphans(fs0, ri1).inodes?, afs-cons(abs-dirs(fs0, ri1), abs-files(fs0, ri1)), file-node-cons(fs0, ri1 ⊖ orphans(fs0, ri1)), file-node-cons(fs0, ri1), log-cons(log0, fs0), orphans-cons(fs0, ri1 ⊖ orphans(fs0, ri1), ∅), 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 ⊖ orphans(fs0, ri1)), ri-inj(fi0), ri-inj(ri1), ubifs-cons(fs0, ri1 ⊖ orphans(fs0, ri1), ∅, fi0, fo0, log0), ubifs-cons(fs0, ri1, orphans(fs0, ri1), fi0, fo0, log0) ⊦ # orphans (abs-dirs(fs0, ri1) \ orphans(abs-dirs(fs0, ri1), abs-files(fs0, ri1)), abs-files(fs0, ri1) \ orphans(abs-dirs(fs0, ri1), abs-files(fs0, ri1))) = 0, orphans (abs-dirs(fs0, ri1) \ orphans(abs-dirs(fs0, ri1), abs-files(fs0, ri1)), abs-files(fs0, ri1) \ orphans(abs-dirs(fs0, ri1), abs-files(fs0, ri1))) = ∅, afs-cons (abs-dirs(fs0, ri1) \ orphans(abs-dirs(fs0, ri1), abs-files(fs0, ri1)), abs-files(fs0, ri1) \ orphans(abs-dirs(fs0, ri1), abs-files(fs0, ri1)))

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: aubifs-abs name: afs-cons-remove-orphans seq: ⊦ afs-cons(dirs, files) → afs-cons (dirs \ orphans(dirs, files), files \ orphans(dirs, files)) subst: [files, dirs] → [abs-files(fs0, ri1), abs-dirs(fs0, ri1)] flags: <all paths>

Additional information

Used terms: abs-files(fs0, ri1), abs-dirs(fs0, ri1)