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Proof step 11 from proof inv-put-inode (previous step)

err = ESUCCESS, m ≠ ROOT_INO, 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 ⊦ [afs_evict#(mkinode(m, md, boolvar, m0, m1, m2), asynced; err, dirs, files)] (afs-cons(dirs, files) → of-cons(of, dirs, files))

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 12:
err = ESUCCESS, inode = mkinode(m, md, boolvar, m0, m1, m2), afs-cons(dirs, files), of-cons(of, dirs, files), m ∈ dirs ∧ m0 = dirs[m].nlink ∧ m2 = dirs[m].size ∧ m1 = dirs[m].nsubdirs ∧ boolvar ∨ m ∈ files ∧ m0 = files[m].nlink ∧ m1 = 0 ∧ ¬ boolvar ⊦ [if pre-evict(inode, dirs, files) then {err := ESUCCESS; let ino = inode.ino in if ino ∈ dirs then if dirs[ino].nlink = 0 then dirs := dirs -- ino else if files[ino].nlink = 0 then files := files -- ino} else abort] (afs-cons(dirs, files) → of-cons(of, dirs, files)), m = ROOT_INO, is-open(m, of)

Rule argument

pos: right 1

Additional information

Used simplifier rules: afs_evict#(INODE, ASYNCED; ERR, DIRS, FILES) {if pre-evict(INODE, DIRS, FILES) then {ERR := ESUCCESS; let INO = INODE.ino in if INO ∈ DIRS then if DIRS[INO].nlink = 0 then DIRS := DIRS -- INO else if FILES[INO].nlink = 0 then FILES := FILES -- INO} else abort };