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Proof step 35 from proof write-inode-inv (previous step)

files1 -- ino = files0 -- ino, (ino0 = ino ⊃ mkfile(m + n, md, # links(ino, dirs), content);mkfile(m1, md0, m2, content1)) = mkfile(m3, md1, m4, content2), files1[ino0] = mkfile(m1, md0, m2, content1), files1[ino] = mkfile(m, md, # links(ino, dirs), content), files0[ino] = mkfile(m, md, m0, content0), dirs[ino0] = mkdir(m5, md2, m6, m7, entries), afs-cons(dirs, files1), write-inv(0, n1, buf, n, content0, content), ROOT_INO ∈ dirs, ino ∈ files1, ino ∈ files0, n ≤ n1, n1 ≤ # buf, n ≤ # buf, ino0 ∈ files1 → ¬ ino0 ∈ dirs ∧ m2 = # links(ino0, dirs), ino0 ∈ dirs ∧ ino0 ≠ ROOT_INO ∧ links(ino0, dirs) = ∅ → entries = ∅, ino0 ∈ dirs → m6 = # links(ino0, dirs) ∧ m6 ≤ 1 ∧ m5 = # entries ∧ m7 = # subdirs(ino0, dirs), ino0 ∈ dirs ∧ name ∈ entries → entries[name] ∈ dirs ∨ entries[name] ∈ files1 ⊦ (ino0 ∈ files1 → ¬ ino0 ∈ dirs ∧ m4 = # links(ino0, dirs)) ∧ (ino0 ∈ files1 ∧ n0 ∈ content2 → # content2[n0] = VFS_PAGE_SIZE)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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