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Proof step 13 from proof refine-readdir (previous step)

asynced ↔ cache_asynced, dirs = cache_dirs, err = err0, files = cache_files, inode = mkinode(m, md, boolvar, m0, m1, m2), strings = strings1, strings0 = strings, 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), m ∈ cache_dirs, cache_sync → synced(cache_files, cache_icache, cache_pcache) ⊦ ⟨afs_readdir#(mkinode(m, md, boolvar, m0, m1, m2), cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache, cache_asynced; strings1, err0)⟩ (dom dirs[inode.ino].entries = strings1 ∧ ESUCCESS = err0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 14:
afs-cons(cache_dirs, cache_files), afs-cons(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache), 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), m ∈ cache_dirs, cache_sync → synced(cache_files, cache_icache, cache_pcache) ⊦ ⟨afs_readdir#(mkinode(m, md, boolvar, m0, m1, m2), cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache, cache_asynced; strings1, err0)⟩ (dom cache_dirs[m].entries = strings1 ∧ ESUCCESS = err0)

Rule argument

Additional information

Used simplifier rules: ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)