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Proof step 193 from proof refine-create (previous step)

cache_dirs[m1] = mkdir(m2, md1, # links(m1, cache_dirs), m5, entries0), dirs = cache_dirs[m1, mkdir(m2 + 1, md1, # links(m1, cache_dirs), m5, entries0[str, m])], files = (((cache_files ⊕ cache_pcache) ⊕ cache_icache) ++ m)[m, mkfile(0, md0, 1, ∅)], ino = inode.ino, inode = mkinode(m1, md2, true, # links(m1, cache_dirs), m5, m2), afs-cons(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache), afs-cons(cache_dirs, cache_files), dcache-cons(cache_dcache, cache_dirs, cache_files), icache-cons(cache_icache, cache_dirs, cache_files), pcache-cons(cache_pcache, cache_dirs, cache_files), synced(cache_dirs, cache_icache, cache_pcache), m1 ∈ cache_dirs, cache_sync → synced(cache_files, cache_icache, cache_pcache), links(m1, cache_dirs) ≠ ∅ ∨ m1 = ROOT_INO ⊦ ⟨c_inode := getinode(mkdentry(str, m).ino, dirs, files); asynced := ?⟩ ( dirs = cache_dirs[m1, mkdir(m2 + 1, md2, # links(m1, cache_dirs), m5, entries0[str, m])] ∧ files = ((cache_files ++ m)[m, mkfile(0, md0, 1, ∅)] ⊕ cache_pcache) ⊕ cache_icache[m1, mkientry(false, mkinode(m1, md2, true, # links(m1, cache_dirs), m5, m2 + 1))] [m, mkientry(false, mkinode(m, md0, false, 1, 0, 0)) ] ∧ (asynced ↔ asynced0) ∧ mkinode(m1, md2, true, # links(m1, cache_dirs), m5, m2 + 1) = (m1 ∈ dirs ⊃ mkinode(m1, dirs[m1].meta, true, dirs[m1].nlink, dirs[m1].nsubdirs, dirs[m1].size) ;mkinode(m1, files[m1].meta, false, files[m1].nlink, 0, files[m1].size) ) ∧ mkinode(m, md0, false, 1, 0, 0) = c_inode), m = 0, ino ∈ files, m ∈ cache_dirs, m ∈ cache_files, str ∈ entries0, ino ∈ dirs

Heuristic symbolic execution applied rule assign right

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)% ⊦ ino ∈ files[ino0, af] ↔ ino ∈ files; (s)% ⊦ ino ∈ files ⊕ icache ↔ ino ∈ files; (s)% ⊦ ino ∈ files ⊕ pcache ↔ ino ∈ files; (s)%ino ≠ 0, ¬ ino ∈ files ⊦ ino0 ∈ files ++ ino ↔ ino0 = ino ∨ ino0 ∈ files; (s)% ⊦ afs-cons(dirs, files) ∧ ino ∈ dirs → ¬ ino ∈ files; (s)% ⊦ ino ∈ dirs[ino0, ad] ↔ ino ∈ dirs; (s)% ⊦ mkdentry(str, m).dentry?; (s)