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Proof step 33 from proof inv-write_inode (previous step)

(ino = m ⊃ mkfile(m2, md, # links(m, dirs), content);mkfile(m0, md2, m1, content0)) = mkfile(m4, md3, m8, content1), files[ino] = mkfile(m0, md2, m1, content0), files[m] = mkfile(m3, md0, # links(m, dirs), content), dirs[m] = mkdir(m5, md1, m6, m7, entries), dirs[ino] = mkdir(m9, md4, m10, m11, entries0), afs-cons(dirs, files), m ∈ files, ROOT_INO ∈ dirs, ino ∈ dirs ∧ ino ≠ ROOT_INO ∧ links(ino, dirs) = ∅ → entries0 = ∅, ino ∈ dirs → m10 = # links(ino, dirs) ∧ m10 ≤ 1 ∧ m9 = # entries0 ∧ m11 = # subdirs(ino, dirs), ino ∈ files → ¬ ino ∈ dirs ∧ m1 = # links(ino, dirs), ino ∈ dirs ∧ name ∈ entries0 → entries0[name] ∈ dirs ∨ entries0[name] ∈ files ⊦ (ino ∈ files → ¬ ino ∈ dirs ∧ m8 = # links(ino, dirs)) ∧ (ino ∈ files ∧ n ∈ content1 → # content1[n] = VFS_PAGE_SIZE)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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