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Proof step 118 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), file-node-cons(fs0, ri1 ⊖ orphans(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), ri-inj(fi0), ri-inj(ri1 ⊖ orphans(fs0, 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) \ abs-keys(orphans(fs0, ri1)), abs-files(fs0, ri1) \ abs-keys(orphans(fs0, ri1))) = 0, orphans(abs-dirs(fs0, ri1) \ abs-keys(orphans(fs0, ri1)), abs-files(fs0, ri1) \ abs-keys(orphans(fs0, ri1))) = ∅, afs-cons(abs-dirs(fs0, ri1) \ abs-keys(orphans(fs0, ri1)), abs-files(fs0, ri1) \ abs-keys(orphans(fs0, ri1)))

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: aubifs-abs name: abs-orphans seq: ⊦ afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)) → orphans(abs-dirs(fs, ri), abs-files(fs, ri)) = abs-keys(orphans(fs, ri)) subst: [ri, fs] → [ri1, fs0] flags: <rotated> <all paths>

Additional information

Used terms: ri1, fs0