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Proof step 42 from proof inv-recover (previous step)

files1[ino] = mkfile(m, md, m0, content), afs-cons(dirs0, files1) ⊦ (ino ∈ dirs0 ∧ ¬ ino ∈ orphans(dirs0, files1) ∧ ino ≠ ROOT_INO ∧ links(ino, dirs0) = ∅ → dirs0[ino].entries = ∅) ∧ ( ino ∈ dirs0 ∧ ¬ ino ∈ orphans(dirs0, files1) → dirs0[ino].nlink = # links(ino, dirs0) ∧ dirs0[ino].nlink ≤ 1 ∧ dirs0[ino].size = # dirs0[ino].entries ∧ dirs0[ino].nsubdirs = # subdirs(ino, dirs0)) ∧ (ino ∈ files1 ∧ ¬ ino ∈ orphans(dirs0, files1) → ¬ ino ∈ dirs0 ∧ m0 = # links(ino, dirs0)) ∧ ( ino ∈ dirs0 ∧ ¬ ino ∈ orphans(dirs0, files1) ∧ name ∈ dirs0[ino].entries → dirs0[ino].entries[name] ∈ dirs0 ∧ ¬ dirs0[ino].entries[name] ∈ orphans(dirs0, files1) ∨ dirs0[ino].entries[name] ∈ files1 ∧ ¬ dirs0[ino].entries[name] ∈ orphans(dirs0, files1)) ∧ (ino ∈ files1 ∧ ¬ ino ∈ orphans(dirs0, files1) ∧ n ∈ content → # content[n] = VFS_PAGE_SIZE)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 43:
files1[ino] = mkfile(m, md, m0, content), afs-cons(dirs0, files1) ⊦ (ino ∈ dirs0 ∧ ¬ ino ∈ orphans(dirs0, files1) ∧ ino ≠ ROOT_INO ∧ links(ino, dirs0) = ∅ → dirs0[ino].entries = ∅) ∧ ( ino ∈ dirs0 ∧ ¬ ino ∈ orphans(dirs0, files1) → dirs0[ino].nlink = # links(ino, dirs0) ∧ dirs0[ino].nlink ≤ 1 ∧ dirs0[ino].size = # dirs0[ino].entries ∧ dirs0[ino].nsubdirs = # subdirs(ino, dirs0)) ∧ (ino ∈ files1 ∧ ¬ ino ∈ orphans(dirs0, files1) → ¬ ino ∈ dirs0 ∧ m0 = # links(ino, dirs0)) ∧ ( ino ∈ dirs0 ∧ ¬ ino ∈ orphans(dirs0, files1) ∧ name ∈ dirs0[ino].entries → dirs0[ino].entries[name] ∈ dirs0 ∧ ¬ dirs0[ino].entries[name] ∈ orphans(dirs0, files1) ∨ dirs0[ino].entries[name] ∈ files1 ∧ ¬ dirs0[ino].entries[name] ∈ orphans(dirs0, files1))

Rule argument

Additional information

Used simplifier rules: ⊦ afs-cons(dirs, files) ∧ ino ∈ files ∧ files[ino] = mkfile(m, md, n0, content) ∧ n ∈ content → # content[n] = VFS_PAGE_SIZE; (s)