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Proof step 10 from proof refine-unlink (previous step)

¬ boolvar, c_inode = mkinode(m0, md, boolvar, m1, m2, m3), m0 = cache_dirs[m].entries[str], m1 = ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m0].nlink, m2 = 0, 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, str ∈ cache_dirs[m].entries, m0 ∈ cache_files, cache_sync → synced(cache_files, cache_icache, cache_pcache), links(m, cache_dirs) ≠ ∅ ∨ m = ROOT_INO ⊦ m1 = cache_files[m0].nlink

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
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_dirs[m].entries[str] ∈ cache_files, str ∈ cache_dirs[m].entries, m ∈ cache_dirs, cache_sync → synced(cache_files, cache_icache, cache_pcache), links(m, cache_dirs) ≠ ∅ ∨ m = ROOT_INO ⊦ ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[cache_dirs[m].entries[str]].nlink = cache_files[cache_dirs[m].entries[str]].nlink

Proof step 10 from proof refine-unlink (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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