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Proof step 17 from proof abs-files-del-orphans (previous step)

inodekey(ino) ∈ ri, datakey(ino, n) ∈ ri, fs[ri[inodekey(ino)]].nlink ≠ 0 ∨ ino = ROOT_INO ⊦ fs[ri[inodekey(ino)]].directory, inodekey(ino) ∈ orphans(fs, ri), datakey(ino, n) ∈ orphans(fs, ri), datakey(ino, n) ∈ ri ⊖ orphans(fs, ri) ∧ fs[ri[datakey(ino, n)]].data = fs[ri[datakey(ino, n)]].data, fs[ri[inodekey(ino)]].nlink = 0 ∧ ino ≠ ROOT_INO

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
datakey(ino, n) ∈ ri, inodekey(ino) ∈ ri, fs[ri[inodekey(ino)]].nlink ≠ 0 ∨ ino = ROOT_INO ⊦ fs[ri[inodekey(ino)]].directory, datakey(ino, n) ∈ ri ⊖ orphans(fs, ri), fs[ri[inodekey(ino)]].nlink = 0 ∧ ino ≠ ROOT_INO

Rule argument

Additional information

Used simplifier rules: ⊦ inodekey(m).ino = m; (s)% ⊦ inodekey(m).inode?; (s)% ⊦ ¬ datakey(m, m0).inode?; (s)%⊦ key ∈ orphans(fs, ri) ↔ key.inode? ∧ key ∈ ri ∧ fs[ri[key]].nlink = 0 ∧ key.ino ≠ ROOT_INO; (s)