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

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

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

Rule argument

Additional information

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