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Proof step 102 from proof inv-truncate (previous step)

(ino = m ⊃ mkfile(m1, md1, # links(m, dirs), content0 upto min(n, m2));mkfile(m0, md, m3, content)) = mkfile(m4, md0, m5, content1), files0[ino] = mkfile(m0, md, m3, content), files0[m] = mkfile(m1, md1, # links(m, dirs), content0), dirs[ino] = mkdir(m6, md2, m7, m8, entries), afs-cons(dirs, files0), m ∈ files0, ROOT_INO ∈ dirs, buf-opt.some? → # buf-opt.buf = VFS_PAGE_SIZE, ino ∈ dirs ∧ ino ≠ ROOT_INO ∧ links(ino, dirs) = ∅ → entries = ∅, ino ∈ dirs → m7 = # links(ino, dirs) ∧ m7 ≤ 1 ∧ m6 = # entries ∧ m8 = # subdirs(ino, dirs), ino ∈ files0 → ¬ ino ∈ dirs ∧ m3 = # links(ino, dirs), ino ∈ dirs ∧ name ∈ entries → entries[name] ∈ dirs ∨ entries[name] ∈ files0 ⊦ m2 ≤ n ∧ m2 % VFS_PAGE_SIZE ≠ 0 ∧ (m2 / VFS_PAGE_SIZE ∈ content0 ∨ buf-opt.some?), (ino ∈ files0 → ¬ ino ∈ dirs ∧ m5 = # links(ino, dirs)) ∧ (ino ∈ files0 ∧ n0 ∈ content1 → # content1[n0] = VFS_PAGE_SIZE)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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