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Proof step 30 from proof recovery (previous step)

afs-cons(cache_dirs0, cache_files0), afs-cons(cache_dirs0, (cache_files0 ⊕ cache_pcache0) ⊕ cache_icache0), dcache-cons(cache_dcache0, cache_dirs0, cache_files0), icache-cons(cache_icache0, cache_dirs0, cache_files0), pcache-cons(cache_pcache0, cache_dirs0, cache_files0), synced(cache_dirs0, cache_icache0, cache_pcache0), cache_sync0 → synced(cache_files0, cache_icache0, cache_pcache0) ⊦ ∃ dirs, files, asynced. ⟨fail#(; ; err)⟩ (dirs = cache_dirs0 \ orphans(cache_dirs0, cache_files0) ∧ files = cache_files0 \ orphans(cache_dirs0, cache_files0) ∧ asynced ∧ ESUCCESS = err), cache_dirs0 \ orphans(cache_dirs0, (cache_files0 ⊕ cache_pcache0) ⊕ cache_icache0) = cache_dirs0 \ orphans(cache_dirs0, cache_files0) ∧ ((cache_files0 ⊕ cache_pcache0) ⊕ cache_icache0) \ orphans(cache_dirs0, (cache_files0 ⊕ cache_pcache0) ⊕ cache_icache0) = cache_files0 \ orphans(cache_dirs0, cache_files0)

User applied rule weakening

And obtained the following new goals

Rule argument

poslist: right 1

Additional information