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Proof step 59 from proof fsync-inode-inv (previous step)

dirs[m1] = mkdir(m7, md2, # links(m1, dirs), m9, entries), icache[m] = mkientry(true, mkinode(m1, md, true, # links(m1, dirs), m9, m7)), files[m] = mkfile(m0, md0, # links(m, dirs), content), files[m1] = mkfile(m5, md1, m6, content0), afs-cons(dirs[m1, mkdir(m7, md, # links(m1, dirs), m9, entries)], files), afs-cons(dirs, files), dcache-cons(dcache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), m ∈ icache, m ∈ files, m1 ∈ dirs, ∀ ino. ino ∈ icache → icache[ino].inode.ino = ino ∧ (icache[ino].dirty ⊃ icache[ino].inode.ino ∈ files ∧ icache[ino].inode.nlink = files[icache[ino].inode.ino].nlink ∧ icache[ino].inode.nsubdirs = 0 ∧ ¬ icache[ino].inode.directory ; (ino ∈ dirs ∨ ino ∈ files) ∧ icache[ino].inode = (icache[ino].inode.ino ∈ dirs ⊃ mkinode (icache[ino].inode.ino, dirs[icache[ino].inode.ino].meta, true, dirs[icache[ino].inode.ino].nlink, dirs[icache[ino].inode.ino].nsubdirs, dirs[icache[ino].inode.ino].size) ;mkinode (icache[ino].inode.ino, files[icache[ino].inode.ino].meta, false, files[icache[ino].inode.ino].nlink, 0, files[icache[ino].inode.ino].size) ) ) ⊦

Heuristic use patterns applied rule all left

And closed the goal!

Rule argument

pos: left 13 terms: m abort: T discard: F computed: F

Additional information

Used simplifier rules: ⊦ mkientry(boolvar, inode).inode = inode; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)% ⊦ afs-cons(dirs, files) ∧ ino ∈ dirs → ¬ ino ∈ files; (s) Used terms: m