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

dirs = cache_dirs, files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, 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), ⌊err1⌋ ∨ err1 = ESUCCESS ⊦ ∃ err0. (⌊err0⌋ ∨ err0 = ESUCCESS) ∧ ⟨err := err0; asynced := err = ESUCCESS⟩ ((asynced ↔ err1 = ESUCCESS) ∧ err1 = err)

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), cache_sync → synced(cache_files, cache_icache, cache_pcache), ⌊err1⌋ ∨ err1 = ESUCCESS ⊦ ∃ err0. (⌊err0⌋ ∨ err0 = ESUCCESS) ∧ ⟨err := err0; asynced := err = ESUCCESS⟩ ((asynced ↔ err = ESUCCESS) ∧ err1 = err)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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