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Proof step 87 from proof refine-link (previous step)

dirs[ino1] = mkdir(# entries, md, # links(ino1, dirs), m1, entries), root[q].dir?, root.dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), px(user, q, ROOT_INO, dirs, files), px-parent(user, q, ROOT_INO, dirs, files), py(user, parent(path'), root, abs-files(files)), ino1 ∈ dirs, psynced → asynced ⊦ path' = ε, px(user, md)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 88:
dirs[ino1] = mkdir(# entries, md, # links(ino1, dirs), m1, entries), root.dir?, root[q].dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), px(user, q, ROOT_INO, dirs, files), py(user, parent(path'), root, abs-files(files)), ino1 ∈ dirs, psynced → asynced ⊦ path' = ε, px(user, md)

Rule argument

Additional information

Used simplifier rules: ⊦ px(user, p, ino, dirs, files) → px-parent(user, p, ino, dirs, files); (s)