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Proof step 49 from proof writepage-afs-cons (previous step)

# buf2 = VFS_PAGE_SIZE, (ino1 = m ⊃ mkfile(m0, md, # links(m, dirs), content[pageno, copy(buf0, ino0, buf2, ino, n)]);mkfile(m1, md0, m2, content0)) = mkfile(m3, md1, m4, content1), files[ino1] = mkfile(m1, md0, m2, content0), files[m] = mkfile(m0, md, # links(m, dirs), content), dirs[ino1] = mkdir(# entries, md2, # links(ino1, dirs), # subdirs(ino1, dirs), entries), afs-cons(dirs, files), ino1 ∈ files, ROOT_INO ∈ dirs, m ∈ files, ino + n ≤ VFS_PAGE_SIZE, ino0 + n ≤ # buf0, # links(ino1, dirs) ≤ 1, ino1 ∈ files → ¬ ino1 ∈ dirs ∧ m2 = # links(ino1, dirs), ino1 ∈ dirs ∧ ino1 ≠ ROOT_INO ∧ links(ino1, dirs) = ∅ → entries = ∅, ino1 ∈ dirs ∧ name ∈ entries → entries[name] ∈ dirs ∨ entries[name] ∈ files ⊦ (ino1 ∈ files → ¬ ino1 ∈ dirs ∧ m4 = # links(ino1, dirs)) ∧ (ino1 ∈ files ∧ n0 ∈ content1 → # content1[n0] = VFS_PAGE_SIZE)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 50:
# buf2 = VFS_PAGE_SIZE, (ino1 = m ⊃ mkfile(m0, md, # links(m, dirs), content[pageno, copy(buf0, ino0, buf2, ino, n)]) ;mkfile(m1, md0, # links(ino1, dirs), content0) ) = mkfile(m3, md1, m4, content1), files[ino1] = mkfile(m1, md0, # links(ino1, dirs), content0), files[m] = mkfile(m0, md, # links(m, dirs), content), dirs[ino1] = mkdir(# entries, md2, # links(ino1, dirs), # subdirs(ino1, dirs), entries), afs-cons(dirs, files), ino1 ∈ files, ROOT_INO ∈ dirs, m ∈ files, ino + n ≤ VFS_PAGE_SIZE, ino0 + n ≤ # buf0, # links(ino1, dirs) ≤ 1 ⊦ ino1 ∈ dirs, m4 = # links(ino1, dirs) ∧ (n0 ∈ content1 → # content1[n0] = VFS_PAGE_SIZE)

Rule argument

Additional information

Used simplifier rules: afs-cons-file-nlink: ⊦ afs-cons(dirs, files) ∧ ino ∈ files ∧ files[ino] = mkfile(m, md, n, content) → # links(ino, dirs) = n; (forward) from specification afs-base