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Proof step 135 from proof inv-evict (previous step)

files[m] = mkfile(m0, md, m1, content), err = ESUCCESS, m1 = 0, afs-cons(dirs, files), afs-cons(dirs, files -- m), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), m ∈ files, asynced1 → synced(files, icache, pcache) ⊦ ⟪icache_delete#(m; err, icache); pcache_evict#(m; err, pcache)⟫ ( icache-cons(icache, dirs, files -- m) ∧ dcache-cons(dcache, dirs, files -- m) ∧ pcache-cons(pcache, dirs, files -- m) ∧ synced(dirs, icache, pcache) ∧ (asynced1 → synced(files -- m, icache, pcache))), m = ROOT_INO, m ∈ dirs

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 136:
# links(m, dirs) = 0, files[m] = mkfile(m0, md, 0, content), err = ESUCCESS, m ≠ ROOT_INO, afs-cons(dirs, files -- m), afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), m ∈ files, ¬ m ∈ dirs, asynced1 → synced(files, icache, pcache) ⊦ ⟪icache_delete#(m; err, icache); pcache_evict#(m; err, pcache)⟫ ( icache-cons(icache, dirs, files -- m) ∧ dcache-cons(dcache, dirs, files -- m) ∧ pcache-cons(pcache, dirs, files -- m) ∧ synced(dirs, icache, pcache) ∧ (asynced1 → synced(files -- m, icache, pcache)))

Rule argument

Additional information

Used simplifier rules: ⊦ ino ∈ files -- ino0 ↔ ino ≠ ino0 ∧ ino ∈ files; (s)%⊦ afs-cons(dirs, files) → ( links(ino, dirs) = ∅ ↔ (ino ∈ dirs → dirs[ino].nlink = 0) ∧ (ino ∈ files → files[ino].nlink = 0)); (ws)%size-zero-02: ⊦ # ls = 0 → ls = ∅; (forward) from specification set-basic[alink-set]%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