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Proof step 8 from proof afs-cons-inode-sync (previous step)

inode = mkinode(m, md, boolvar, m0, m1, m2), afs-cons(dirs, files), ROOT_INO ∈ dirs, m ∈ files, ino ∈ files ∧ n ∈ files[ino].content → # files[ino].content[n] = VFS_PAGE_SIZE, ino ∈ dirs ∧ name ∈ dirs[ino].entries → dirs[ino].entries[name] ∈ dirs ∨ dirs[ino].entries[name] ∈ files, ino ∈ files → ¬ ino ∈ dirs ∧ files[ino].nlink = # links(ino, dirs), ino ∈ dirs → dirs[ino].nlink = # links(ino, dirs) ∧ dirs[ino].nlink ≤ 1 ∧ dirs[ino].size = # dirs[ino].entries ∧ dirs[ino].nsubdirs = # subdirs(ino, dirs), ino ∈ dirs ∧ ino ≠ ROOT_INO ∧ links(ino, dirs) = ∅ → dirs[ino].entries = ∅ ⊦ (ino ∈ files → ¬ ino ∈ dirs ∧ (ino = m ⊃ (files[m].size:= m2).meta:= md;files[ino]).nlink = # links(ino, dirs)) ∧ ( ino ∈ files ∧ n ∈ (ino = m ⊃ (files[m].size:= m2).meta:= md;files[ino]).content → # (ino = m ⊃ (files[m].size:= m2).meta:= md;files[ino]).content[n] = VFS_PAGE_SIZE)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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