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Proof step 12 from proof inv-evict (previous step)

m ≠ ROOT_INO, afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), 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 ⊦ [afs_evict#(mkinode(m, md, boolvar, m0, m1, m2), asynced0; err, dirs, files)] ( afs-cons(dirs, files) → ⟪if err = ESUCCESS ∧ m0 = 0 then {icache_delete#(m; err, icache); if ¬ boolvar then pcache_evict#(m; err, pcache)}⟫ ( icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ pcache-cons(pcache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced1 → synced(files, icache, pcache))))

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 13:
asynced ↔ asynced0, inode = mkinode(m, md, boolvar, m0, m1, m2), afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), 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 ⊦ [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) → ⟪if err = ESUCCESS ∧ m0 = 0 then {icache_delete#(m; err, icache); if ¬ boolvar then pcache_evict#(m; err, pcache)}⟫ ( icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ pcache-cons(pcache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced1 → synced(files, icache, pcache)))), m = ROOT_INO

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 };