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Proof step 8 from proof refine-fsyncdir (previous step)

asynced0 ↔ asynced1, asynced ↔ cache_asynced, dirs = cache_dirs, files = cache_files, 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), cache_sync → synced(cache_files, cache_icache, cache_pcache), ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟨afs_fsyncdir#(inode, asynced1, cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache, cache_asynced; ; err1)⟩ (err0 = err1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
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), cache_sync → synced(cache_files, cache_icache, cache_pcache), ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟨afs_fsyncdir#(inode, asynced1, cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache, cache_asynced; ; err1)⟩ (err0 = err1)

Proof step 8 from proof refine-fsyncdir (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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