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Proof step 7 from proof abs-orphans-diff-datakeys (previous step)

⊦ ino0 ∈ orphans(abs-dirs(fs, ri), abs-files(fs, ri \ datakeys(inodekey(ino), n, ri))) ↔ (inodekey(ino0) ∈ ri ∧ fs[ri[inodekey(ino0)]].directory ∨ inodekey(ino0) ∈ ri ∧ ¬ fs[ri[inodekey(ino0)]].directory) ∧ links(ino0, abs-dirs(fs, ri)) = ∅ ∧ ino0 ≠ ROOT_INO

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Proof step 8:
⊦ ino0 ∈ orphans(abs-dirs(fs, ri), abs-files(fs, ri \ datakeys(inodekey(ino), n, ri))) ↔ (inodekey(ino0) ∈ ri ∧ fs[ri[inodekey(ino0)]].directory ∨ inodekey(ino0) ∈ ri ∧ ¬ fs[ri[inodekey(ino0)]].directory) ∧ links(ino0, abs-dirs(fs, ri)) = ∅ ∧ ino0 ≠ ROOT_INO, ino0 = ROOT_INO

Rule argument

fma: ino0 = ROOT_INO

Additional information

Used simplifier rules: ⊦ ¬ ROOT_INO ∈ orphans(dirs, files); (s) Used formulas: ino0 = ROOT_INO