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Proof step 5 from proof abs-orphans (previous step)

afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)) ⊦ ino ∈ orphans(abs-dirs(fs, ri), abs-files(fs, ri)) ↔ inodekey(ino) ∈ ri ∧ fs[ri[inodekey(ino)]].nlink = 0 ∧ ino ≠ ROOT_INO

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Proof step 6:
afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)) ⊦ ino ∈ orphans(abs-dirs(fs, ri), abs-files(fs, ri)) ↔ inodekey(ino) ∈ ri ∧ fs[ri[inodekey(ino)]].nlink = 0 ∧ ino ≠ ROOT_INO, ino = ROOT_INO

Rule argument

fma: ino = ROOT_INO

Additional information

Used simplifier rules: ⊦ ¬ ROOT_INO ∈ orphans(dirs, files); (s) Used formulas: ino = ROOT_INO