| 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), ⌊err2⌋ ∨ err2 = ESUCCESS ⊦ ∃ err0. (⌊err0⌋ ∨ err0 = ESUCCESS) ∧ ⟨err := err0; choose bv with true in asynced := bv⟩ ((asynced ↔ bv) ∧ err2 = err), ⟨err := err2; choose bv with true in asynced := bv⟩ ((asynced ↔ bv) ∧ err2 = err) |
err = err2, 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), ⌊err2⌋ ∨ err2 = ESUCCESS ⊦ ⟨choose bv with true in asynced := bv⟩ ((asynced ↔ bv) ∧ err2 = err), ∃ err1. (⌊err1⌋ ∨ err1 = ESUCCESS) ∧ ⟨err0 := err1; choose bv with true in asynced := bv⟩ ((asynced ↔ bv) ∧ err2 = err0)