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Proof step 6 from proof inv-put-inode (previous step)

p_inode = mkinode(m, md, boolvar, m0, m1, m2), afs-cons(dirs, files), of-cons(of, dirs, files), ¬ is-open(m, of) → (m ∈ dirs ∧ m0 = dirs[m].nlink ∧ m2 = dirs[m].size ∧ m1 = dirs[m].nsubdirs ∧ boolvar ∨ m ∈ files ∧ m0 = files[m].nlink ∧ m1 = 0 ∧ ¬ boolvar) ∧ m ≠ ROOT_INO ⊦ ⟪if err = ESUCCESS ∧ ¬ is-open(p_inode.ino, of) then afs_evict#(p_inode, asynced; err, dirs, files)⟫ (afs-cons(dirs, files) ∧ of-cons(of, dirs, files))

Heuristic conditional right split applied rule if right

And obtained the following new goals

Proof step 7:
err = ESUCCESS, p_inode = mkinode(m, md, boolvar, m0, m1, m2), afs-cons(dirs, files), of-cons(of, dirs, files), ¬ is-open(m, of) → (m ∈ dirs ∧ m0 = dirs[m].nlink ∧ m2 = dirs[m].size ∧ m1 = dirs[m].nsubdirs ∧ boolvar ∨ m ∈ files ∧ m0 = files[m].nlink ∧ m1 = 0 ∧ ¬ boolvar) ∧ m ≠ ROOT_INO ⊦ ⟪afs_evict#(p_inode, asynced; err, dirs, files)⟫ (afs-cons(dirs, files) ∧ of-cons(of, dirs, files)), is-open(p_inode.ino, of)
Proof step 32:
p_inode = mkinode(m, md, boolvar, m0, m1, m2), afs-cons(dirs, files), of-cons(of, dirs, files), ¬ is-open(m, of) → (m ∈ dirs ∧ m0 = dirs[m].nlink ∧ m2 = dirs[m].size ∧ m1 = dirs[m].nsubdirs ∧ boolvar ∨ m ∈ files ∧ m0 = files[m].nlink ∧ m1 = 0 ∧ ¬ boolvar) ∧ m ≠ ROOT_INO ⊦ ⟪skip⟫ (afs-cons(dirs, files) ∧ of-cons(of, dirs, files)), err = ESUCCESS ∧ ¬ is-open(p_inode.ino, of)

Rule argument

pos: right 1

Proof step 6 from proof inv-put-inode (previous step)

Heuristic conditional right split applied rule if right

And obtained the following new goals

Rule argument

Additional information