| cache_dirs[m] = mkdir(m7, md2, m8, m9, entries), cache_files[m] = mkfile(m3, md0, m4, content), ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m] = mkfile(m5, md1, m6, content0), afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, ¬ boolvar, cache_dirs0 = cache_dirs, 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), ⌊err0⌋ , cache_sync → synced(cache_files, cache_icache, cache_pcache), cache_sync ∨ boolvar, m ∈ cache_dirs ∧ m0 = m8 ∧ m2 = m7 ∧ m1 = m9 ∧ boolvar ∨ m ∈ cache_files ∧ m0 = m4 ∧ m1 = 0 ∧ ¬ boolvar, m ∈ cache_dirs ∧ m0 = m8 ∧ m2 = m7 ∧ m1 = m9 ∧ boolvar ∨ m ∈ cache_files ∧ m0 = m6 ∧ m1 = 0 ∧ ¬ boolvar ⊦ ⟨afs_files := afs_files[m, afs_files[m].meta:= md][m, afs_files[m, afs_files[m].meta:= md][m].size:= m2]; err := ESUCCESS; asynced := ?⟩ (cache_dirs = cache_dirs0 ∧ afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache ∧ (asynced ↔ asynced0) ∧ err0 = err), ⟨fail#(; ; err); asynced := ?⟩ ((asynced ↔ asynced0) ∧ err0 = err) |
((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m] = mkfile(m5, md1, m6, content0), cache_files[m] = mkfile(m3, md0, m4, content), cache_dirs[m] = mkdir(m7, md2, m8, m9, entries), afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, ¬ boolvar, cache_dirs0 = cache_dirs, 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), ⌊err0⌋ , cache_sync → synced(cache_files, cache_icache, cache_pcache), m ∈ cache_dirs ∧ m0 = m8 ∧ m2 = m7 ∧ m1 = m9 ∧ boolvar ∨ m ∈ cache_files ∧ m0 = m6 ∧ m1 = 0 ∧ ¬ boolvar, m ∈ cache_dirs ∧ m0 = m8 ∧ m2 = m7 ∧ m1 = m9 ∧ boolvar ∨ m ∈ cache_files ∧ m0 = m4 ∧ m1 = 0 ∧ ¬ boolvar, cache_sync ∨ boolvar ⊦ ⟨err := ESUCCESS; asynced := ?⟩ ( cache_dirs = cache_dirs0 ∧ afs_files[m, afs_files[m].meta:= md][m, afs_files[m, afs_files[m].meta:= md][m].size:= m2] = (cache_files ⊕ cache_pcache) ⊕ cache_icache ∧ (asynced ↔ asynced0) ∧ err0 = err), ⟨fail#(; ; err); asynced := ?⟩ ((asynced ↔ asynced0) ∧ err0 = err)