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Proof step 462 from proof refine-rename-dir-dentry (previous step)

cache_dirs[entries0[str0]] = mkdir(m3, md4, # links(entries0[str0], cache_dirs), m6, ∅), cache_dirs[m0] = mkdir(m1, md3, # links(m0, cache_dirs), m4, entries0), afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, err = ESUCCESS, entries0[str0] ≠ ROOT_INO, 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), entries0[str0] ∈ cache_dirs, str0 ∈ entries0, m0 ∈ cache_dirs, cache_sync → synced(cache_files, cache_icache, cache_pcache), links(m0, cache_dirs) ≠ ∅ ∨ m0 = ROOT_INO ⊦ [icache_set# (mkinode (m0, cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)][entries0[str0]].meta:= md1 ] [m0 ] .meta, true, cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)][entries0[str0]].meta:= md1 ] [m0 ] .nlink, cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)][entries0[str0]].meta:= md1 ] [m0 ] .nsubdirs, cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)][entries0[str0]].meta:= md1 ] [m0 ] .size), false ; err, cache_icache); icache_set# (( m0 ∈ cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)][entries0[str0]] .meta:= mkinode(entries0[str0], md1, true, # links(entries0[str0], cache_dirs), m6, m3).meta ] ⊃ mkinode (m0, cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)][entries0[str0]] .meta:= mkinode(entries0[str0], md1, true, # links(entries0[str0], cache_dirs), m6, m3).meta ] [m0 ] .meta, true, cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)][entries0[str0]] .meta:= mkinode(entries0[str0], md1, true, # links(entries0[str0], cache_dirs), m6, m3).meta ] [m0 ] .nlink, cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)][entries0[str0]] .meta:= mkinode(entries0[str0], md1, true, # links(entries0[str0], cache_dirs), m6, m3).meta ] [m0 ] .nsubdirs, cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)][entries0[str0]] .meta:= mkinode(entries0[str0], md1, true, # links(entries0[str0], cache_dirs), m6, m3).meta ] [m0 ] .size) ;mkinode(m0, cache_files[m0].meta, false, cache_files[m0].nlink, 0, cache_files[m0].size) ), false ; err, cache_icache); str := str0; new_child_inode := (entries0[str0] ∈ cache_dirs ⊃ mkinode (entries0[str0], cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)][entries0[str0]] .meta:= mkinode(entries0[str0], md1, true, # links(entries0[str0], cache_dirs), m6, m3).meta ] [entries0[str0] ] .meta, true, cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)][entries0[str0]] .meta:= mkinode(entries0[str0], md1, true, # links(entries0[str0], cache_dirs), m6, m3).meta ] [entries0[str0] ] .nlink, cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)][entries0[str0]] .meta:= mkinode(entries0[str0], md1, true, # links(entries0[str0], cache_dirs), m6, m3).meta ] [entries0[str0] ] .nsubdirs, cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)][entries0[str0]] .meta:= mkinode(entries0[str0], md1, true, # links(entries0[str0], cache_dirs), m6, m3).meta ] [entries0[str0] ] .size) ;mkinode(entries0[str0], cache_files[entries0[str0]].meta, false, cache_files[entries0[str0]].nlink, 0, cache_files[entries0[str0]].size) ); if mkdentry(str, entries0[str]).dentry? then icache_set#(new_child_inode, false; err, cache_icache); dcache_delete#(m0, mkdentry(str0, entries0[str0]).name; err, cache_dcache); dcache_set# (m0, mkdentry(mkdentry(str0, entries0[str0]).name, mkdentry(str0, entries0[str0]).ino).name, mkdentry(mkdentry(str0, entries0[str0]).name, mkdentry(str0, entries0[str0]).ino) ; err, cache_dcache)] ( icache-cons (cache_icache, cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], (entries0[str0] = m0 ⊃ mkdir(m1, md0, # links(entries0[str0], cache_dirs), m4, entries0);cache_dirs[entries0[str0]]).meta:= md1 ], cache_files) ∧ dcache-cons (cache_dcache, cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], (entries0[str0] = m0 ⊃ mkdir(m1, md0, # links(entries0[str0], cache_dirs), m4, entries0);cache_dirs[entries0[str0]]).meta:= md1 ], cache_files) ∧ pcache-cons (cache_pcache, cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], (entries0[str0] = m0 ⊃ mkdir(m1, md0, # links(entries0[str0], cache_dirs), m4, entries0);cache_dirs[entries0[str0]]).meta:= md1 ], cache_files) ∧ afs-cons (cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], (entries0[str0] = m0 ⊃ mkdir(m1, md0, # links(entries0[str0], cache_dirs), m4, entries0);cache_dirs[entries0[str0]]).meta:= md1 ], cache_files) ∧ synced (cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], (entries0[str0] = m0 ⊃ mkdir(m1, md0, # links(entries0[str0], cache_dirs), m4, entries0);cache_dirs[entries0[str0]]).meta:= md1 ], cache_icache, cache_pcache) ∧ (cache_sync → synced(cache_files, cache_icache, cache_pcache)) → ⟨new_dent0 := mkdentry(str, entries0[str]); old_dent0 := mkdentry(str0, entries0[str0]); new_parent_inode0 := mkinode(m0, md0, true, # links(m0, cache_dirs), m4, m1); old_parent_inode0 := mkinode(m0, md0, true, # links(m0, cache_dirs), m4, m1); new_child_inode0 := mkinode (entries0[str], md1, true, # links(entries0[str], cache_dirs), cache_dirs[entries0[str]].nsubdirs, cache_dirs[entries0[str]].size); old_child_inode0 := mkinode(entries0[str0], md2, true, # links(entries0[str0], cache_dirs), m6, m3); cache_dirs0 := cache_dirs; cache_dirs1 := cache_dirs; cache_dirs2 := cache_dirs; cache_dirs3 := cache_dirs; cache_dirs4 := cache_dirs; cache_dirs5 := cache_dirs; afs_rename# (; old_parent_inode0, new_parent_inode0, old_child_inode0, new_child_inode0, old_dent0, new_dent0, err0, cache_dirs, afs_files; afs_asynced)⟩ ( (m0 ∈ cache_dirs5 ⊃ mkinode (m0, (m0 = entries0[str0] ⊃ mkdir(m1, md1, # links(entries0[str0], cache_dirs5), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0) ) .meta, true, (m0 = entries0[str0] ⊃ mkdir(m1, md1, # links(entries0[str0], cache_dirs5), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0) ) .nlink, (m0 = entries0[str0] ⊃ mkdir(m1, md1, # links(entries0[str0], cache_dirs5), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0) ) .nsubdirs, (m0 = entries0[str0] ⊃ mkdir(m1, md1, # links(entries0[str0], cache_dirs5), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0) ) .size) ;mkinode(m0, cache_files[m0].meta, false, cache_files[m0].nlink, 0, cache_files[m0].size) ) = old_parent_inode0 ∧ (m0 ∈ cache_dirs5 ⊃ mkinode (m0, (m0 = entries0[str0] ⊃ mkdir(m1, md1, # links(entries0[str0], cache_dirs5), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0) ) .meta, true, (m0 = entries0[str0] ⊃ mkdir(m1, md1, # links(entries0[str0], cache_dirs5), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0) ) .nlink, (m0 = entries0[str0] ⊃ mkdir(m1, md1, # links(entries0[str0], cache_dirs5), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0) ) .nsubdirs, (m0 = entries0[str0] ⊃ mkdir(m1, md1, # links(entries0[str0], cache_dirs5), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0) ) .size) ;mkinode(m0, cache_files[m0].meta, false, cache_files[m0].nlink, 0, cache_files[m0].size) ) = new_parent_inode0 ∧ mkinode (entries0[str0], md2, true, # links(entries0[str0], cache_dirs0), cache_dirs1[entries0[str0]].nsubdirs, cache_dirs2[entries0[str0]].size) = old_child_inode0 ∧ new_child_inode = new_child_inode0 ∧ negdentry(str0) = old_dent0 ∧ mkdentry(str0, entries0[str0]) = new_dent0 ∧ err = err0 ∧ cache_dirs = cache_dirs5[m0, mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0)] [entries0[str0], (entries0[str0] = m0 ∧ entries0[str0] ∈ cache_dirs5 ⊃ mkdir(m1, md0, # links(entries0[str0], cache_dirs5), m4, entries0) ;cache_dirs5[entries0[str0]] ) .meta:= md1 ] ∧ afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache ∧ (afs_asynced ↔ asynced0)))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 463:
cache_dirs[m0] = mkdir(m1, md3, # links(m0, cache_dirs), m4, entries0), cache_dirs[entries0[str0]] = mkdir(m3, md4, # links(entries0[str0], cache_dirs), m6, ∅), afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, err = ESUCCESS, mkinode(entries0[str0], md1, true, # links(entries0[str0], cache_dirs), m6, m3) = mkinode(m, md, boolvar, m2, m5, m7), 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), m0 ∈ cache_dirs, str0 ∈ entries0, entries0[str0] ∈ cache_dirs, cache_sync → synced(cache_files, cache_icache, cache_pcache), links(m0, cache_dirs) ≠ ∅ ∨ m0 = ROOT_INO ⊦ [icache_set# (mkinode (m0, cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)][entries0[str0]].meta:= md1 ] [m0 ] .meta, true, cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)][entries0[str0]].meta:= md1 ] [m0 ] .nlink, cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)][entries0[str0]].meta:= md1 ] [m0 ] .nsubdirs, cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)][entries0[str0]].meta:= md1 ] [m0 ] .size), false ; err, cache_icache); icache_set# (( m0 ∈ cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)][entries0[str0]].meta:= md ] ⊃ mkinode (m0, cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)][entries0[str0]].meta:= md ] [m0 ] .meta, true, cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)][entries0[str0]].meta:= md ] [m0 ] .nlink, cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)][entries0[str0]].meta:= md ] [m0 ] .nsubdirs, cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)][entries0[str0]].meta:= md ] [m0 ] .size) ;mkinode(m0, cache_files[m0].meta, false, cache_files[m0].nlink, 0, cache_files[m0].size) ), false ; err, cache_icache); str := str0; new_child_inode := (entries0[str0] ∈ cache_dirs ⊃ mkinode (entries0[str0], cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)][entries0[str0]].meta:= md ] [entries0[str0] ] .meta, true, cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)][entries0[str0]].meta:= md ] [entries0[str0] ] .nlink, cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)][entries0[str0]].meta:= md ] [entries0[str0] ] .nsubdirs, cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)][entries0[str0]].meta:= md ] [entries0[str0] ] .size) ;mkinode(entries0[str0], cache_files[entries0[str0]].meta, false, cache_files[entries0[str0]].nlink, 0, cache_files[entries0[str0]].size) ); if mkdentry(str, entries0[str]).dentry? then icache_set#(new_child_inode, false; err, cache_icache); dcache_delete#(m0, mkdentry(str0, entries0[str0]).name; err, cache_dcache); dcache_set# (m0, mkdentry(mkdentry(str0, entries0[str0]).name, mkdentry(str0, entries0[str0]).ino).name, mkdentry(mkdentry(str0, entries0[str0]).name, mkdentry(str0, entries0[str0]).ino) ; err, cache_dcache)] ( icache-cons (cache_icache, cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], (entries0[str0] = m0 ⊃ mkdir(m1, md0, # links(entries0[str0], cache_dirs), m4, entries0);cache_dirs[entries0[str0]]).meta:= md1 ], cache_files) ∧ dcache-cons (cache_dcache, cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], (entries0[str0] = m0 ⊃ mkdir(m1, md0, # links(entries0[str0], cache_dirs), m4, entries0);cache_dirs[entries0[str0]]).meta:= md1 ], cache_files) ∧ pcache-cons (cache_pcache, cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], (entries0[str0] = m0 ⊃ mkdir(m1, md0, # links(entries0[str0], cache_dirs), m4, entries0);cache_dirs[entries0[str0]]).meta:= md1 ], cache_files) ∧ afs-cons (cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], (entries0[str0] = m0 ⊃ mkdir(m1, md0, # links(entries0[str0], cache_dirs), m4, entries0);cache_dirs[entries0[str0]]).meta:= md1 ], cache_files) ∧ synced (cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], (entries0[str0] = m0 ⊃ mkdir(m1, md0, # links(entries0[str0], cache_dirs), m4, entries0);cache_dirs[entries0[str0]]).meta:= md1 ], cache_icache, cache_pcache) ∧ (cache_sync → synced(cache_files, cache_icache, cache_pcache)) → ⟨new_dent0 := mkdentry(str, entries0[str]); old_dent0 := mkdentry(str0, entries0[str0]); new_parent_inode0 := mkinode(m0, md0, true, # links(m0, cache_dirs), m4, m1); old_parent_inode0 := mkinode(m0, md0, true, # links(m0, cache_dirs), m4, m1); new_child_inode0 := mkinode (entries0[str], md1, true, # links(entries0[str], cache_dirs), cache_dirs[entries0[str]].nsubdirs, cache_dirs[entries0[str]].size); old_child_inode0 := mkinode(entries0[str0], md2, true, # links(entries0[str0], cache_dirs), m6, m3); cache_dirs0 := cache_dirs; cache_dirs1 := cache_dirs; cache_dirs2 := cache_dirs; cache_dirs3 := cache_dirs; cache_dirs4 := cache_dirs; cache_dirs5 := cache_dirs; afs_rename# (; old_parent_inode0, new_parent_inode0, old_child_inode0, new_child_inode0, old_dent0, new_dent0, err0, cache_dirs, afs_files; afs_asynced)⟩ ( (m0 ∈ cache_dirs5 ⊃ mkinode (m0, (m0 = entries0[str0] ⊃ mkdir(m1, md1, # links(entries0[str0], cache_dirs5), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0) ) .meta, true, (m0 = entries0[str0] ⊃ mkdir(m1, md1, # links(entries0[str0], cache_dirs5), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0) ) .nlink, (m0 = entries0[str0] ⊃ mkdir(m1, md1, # links(entries0[str0], cache_dirs5), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0) ) .nsubdirs, (m0 = entries0[str0] ⊃ mkdir(m1, md1, # links(entries0[str0], cache_dirs5), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0) ) .size) ;mkinode(m0, cache_files[m0].meta, false, cache_files[m0].nlink, 0, cache_files[m0].size) ) = old_parent_inode0 ∧ (m0 ∈ cache_dirs5 ⊃ mkinode (m0, (m0 = entries0[str0] ⊃ mkdir(m1, md1, # links(entries0[str0], cache_dirs5), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0) ) .meta, true, (m0 = entries0[str0] ⊃ mkdir(m1, md1, # links(entries0[str0], cache_dirs5), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0) ) .nlink, (m0 = entries0[str0] ⊃ mkdir(m1, md1, # links(entries0[str0], cache_dirs5), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0) ) .nsubdirs, (m0 = entries0[str0] ⊃ mkdir(m1, md1, # links(entries0[str0], cache_dirs5), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0) ) .size) ;mkinode(m0, cache_files[m0].meta, false, cache_files[m0].nlink, 0, cache_files[m0].size) ) = new_parent_inode0 ∧ mkinode (entries0[str0], md2, true, # links(entries0[str0], cache_dirs0), cache_dirs1[entries0[str0]].nsubdirs, cache_dirs2[entries0[str0]].size) = old_child_inode0 ∧ new_child_inode = new_child_inode0 ∧ negdentry(str0) = old_dent0 ∧ mkdentry(str0, entries0[str0]) = new_dent0 ∧ err = err0 ∧ cache_dirs = cache_dirs5[m0, mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0)] [entries0[str0], (entries0[str0] = m0 ∧ entries0[str0] ∈ cache_dirs5 ⊃ mkdir(m1, md0, # links(entries0[str0], cache_dirs5), m4, entries0) ;cache_dirs5[entries0[str0]] ) .meta:= md1 ] ∧ afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache ∧ (afs_asynced ↔ asynced0))), entries0[str0] = ROOT_INO

Rule argument

spec: inode name: elim seq: ⊦ ( ( ( (m = inode.ino ∧ md = inode.meta) ∧ (boolvar ↔ inode.directory)) ∧ m0 = inode.nlink) ∧ m1 = inode.nsubdirs) ∧ m2 = inode.size ↔ inode = mkinode(m, md, boolvar, m0, m1, m2) subst: [inode, m, md, boolvar, m0, m1, m2] → [mkinode (entries0[str0], md1, true, # links(entries0[str0], cache_dirs), m6, m3), m, md, boolvar, m2, m5, m7]

Additional information

Used simplifier rules: ⊦ ( ( ( (m = inode.ino ∧ md = inode.meta) ∧ (boolvar ↔ inode.directory)) ∧ m0 = inode.nlink) ∧ m1 = inode.nsubdirs) ∧ m2 = inode.size ↔ inode = mkinode(m, md, boolvar, m0, m1, m2); (elim) Used terms: mkinode (entries0[str0], md1, true, # links(entries0[str0], cache_dirs), m6, m3), m, md, boolvar, m2, m5, m7