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Proof step 65 from proof crash-neutral-evict (previous step)

# links(m, dirs) = 0, files[m] = mkfile(m0, md, 0, content), afs-cons(dirs, files), m ∈ files, ino ∈ files ⊦ m = ROOT_INO, m ∈ dirs, (¬ m ∈ orphans(dirs, files) → ino ≠ m) ∧ (¬ ino ∈ orphans(dirs, files) → files[ino] = ((files \ (orphans(dirs, files) -- m)) -- m)[ino]), ¬ ino ∈ orphans(dirs, files) ∧ ino ≠ m

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Proof step 66:
# links(m, dirs) = 0, files[m] = mkfile(m0, md, 0, content), afs-cons(dirs, files), ino ∈ files, m ∈ files ⊦ m = ROOT_INO, m ∈ dirs, ino ∈ orphans(dirs, files), ¬ ino ∈ orphans(dirs, files) ∧ ino ≠ m, (¬ m ∈ orphans(dirs, files) → ino ≠ m) ∧ (¬ ino ∈ orphans(dirs, files) → files[ino] = ((files \ (orphans(dirs, files) -- m)) -- m)[ino])

Rule argument

fma: ino ∈ orphans(dirs, files)

Additional information

Used formulas: ino ∈ orphans(dirs, files)