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Proof step 1 from proof dentrynode-closed (conclusion)

⊦ node-closed(dentrynode(key, ino), ri, fs, ro) ↔ inodekey(key.ino) ∈ ri ∧ ¬ inodekey(key.ino) ∈ ro ∧ fs[ri[inodekey(key.ino)]].directory ∧ inodekey(ino) ∈ ri ∧ ¬ inodekey(ino) ∈ ro

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information