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Proof step 21 from proof inv-evict (previous step)

dirs[ino].nlink = 0, asynced ↔ asynced0, ESUCCESS = ESUCCESS, err = ESUCCESS, ino = inode.ino, inode = mkinode(m, md, boolvar, m0, m1, m2), m0 = 0, afs-cons(dirs -- ino, files), afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), ino ∈ dirs, asynced1 → synced(files, icache, pcache), m ∈ dirs ∧ m0 = dirs[m].nlink ∧ m2 = dirs[m].size ∧ m1 = dirs[m].nsubdirs ∧ boolvar ∨ m ∈ files ∧ m0 = files[m].nlink ∧ m1 = 0 ∧ ¬ boolvar ⊦ ⟪icache_delete#(m; err, icache); if ¬ boolvar then pcache_evict#(m; err, pcache)⟫ ( icache-cons(icache, dirs -- ino, files) ∧ dcache-cons(dcache, dirs -- ino, files) ∧ pcache-cons(pcache, dirs -- ino, files) ∧ synced(dirs -- ino, icache, pcache) ∧ (asynced1 → synced(files, icache, pcache))), m = ROOT_INO

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 22:
dirs[m].nlink = 0, err = ESUCCESS, m ≠ ROOT_INO, afs-cons(dirs -- m, files), afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), m ∈ dirs, asynced1 → synced(files, icache, pcache) ⊦ ⟪icache_delete#(m; err, icache); skip⟫ ( icache-cons(icache, dirs -- m, files) ∧ dcache-cons(dcache, dirs -- m, files) ∧ pcache-cons(pcache, dirs -- m, files) ∧ synced(dirs -- m, icache, pcache) ∧ (asynced1 → synced(files, icache, pcache)))

Rule argument

Additional information

Used simplifier rules: ⊦ afs-cons(dirs, files) ∧ ino ∈ dirs → ¬ ino ∈ files; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)