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Proof step 380 from proof refine-write_inode (previous step)

# links(m, cache_dirs) = cache_files[m].nlink, cache_files[m] = mkfile(m0, md0, cache_files[m].nlink, content), 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_files ⊦ ⟨err := ESUCCESS; asynced := ?⟩ ( ((cache_files ⊕ cache_pcache) ⊕ cache_icache )[m, mkfile(cache_files[m].size, md, cache_files[m].nlink, cache_files[m].content ⊕ mkcontent(m, cache_pcache)) ] [m, ((cache_files ⊕ cache_pcache) ⊕ cache_icache )[m, mkfile(cache_files[m].size, md, cache_files[m].nlink, cache_files[m].content ⊕ mkcontent(m, cache_pcache)) ] [m ] .size:= m2 ] = (cache_files ⊕ cache_pcache) ⊕ cache_icache ∧ (asynced ↔ asynced1) ∧ EFAIL = err), ⟨fail#(; ; err); asynced := ?⟩ ((asynced ↔ asynced1) ∧ EFAIL = err), m ∈ cache_icache

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

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