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Proof step 22 from proof refine-iget (previous step)

asynced ↔ cache_asynced, cache_icache[ino] = mkientry(boolvar, inode1), dirs = cache_dirs, err = err0, files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, inode = inode0, 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), pre-iget(ino, dirs, files), synced(cache_dirs, cache_icache, cache_pcache), ino ∈ cache_icache, cache_sync → synced(cache_files, cache_icache, cache_pcache), ino ∈ cache_dirs ∨ ino ∈ cache_files ⊦ ⟨fail#(; ; err)⟩ (inode1 = inode ∧ ESUCCESS = err), inode1 = getinode(ino, dirs, files) ∧ ESUCCESS = ESUCCESS

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 23:
cache_icache[ino] = mkientry(boolvar, inode1), inode1 ≠ (ino ∈ cache_dirs ⊃ mkinode(ino, cache_dirs[ino].meta, true, cache_dirs[ino].nlink, cache_dirs[ino].nsubdirs, cache_dirs[ino].size) ;mkinode (ino, ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[ino].meta, false, ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[ino].nlink, 0, ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[ino].size) ), 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), ino ∈ cache_icache, cache_sync → synced(cache_files, cache_icache, cache_pcache), ino ∈ cache_dirs ∨ ino ∈ cache_files ⊦ ⟨fail#(; ; err)⟩ (inode1 = inode ∧ ESUCCESS = err)

Rule argument

Additional information

Used simplifier rules: ⊦ getinode(ino, dirs, files) = (ino ∈ dirs ⊃ mkinode (ino, dirs[ino].meta, true, dirs[ino].nlink, dirs[ino].nsubdirs, dirs[ino].size) ;mkinode (ino, files[ino].meta, false, files[ino].nlink, 0, files[ino].size) ); (s)% ⊦ ino ∈ files ⊕ pcache ↔ ino ∈ files; (s)% ⊦ ino ∈ files ⊕ icache ↔ ino ∈ files; (s)% ⊦ valid-ino(ino, dirs, files) ↔ ino ∈ dirs ∨ ino ∈ files; (s)% ⊦ pre-iget(ino, dirs, files) ↔ valid-ino(ino, dirs, files); (s)