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Proof step 35 from proof fsync-inode-keep-abs (previous step)

icache[m] = mkientry(true, inode), err = ESUCCESS, err0 = ESUCCESS, files0 = (files ⊕ pcache) ⊕ icache, inode.directory, icache-cons(icache, dirs, files), pre-write-inode(inode, dirs, files), m ∈ icache ⊦ [icache_set_status#(m, false; err, icache)] (files0 = (files ⊕ pcache) ⊕ icache)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 36:
inode.nlink = dirs[inode.ino].nlink, inode.nsubdirs = dirs[inode.ino].nsubdirs, inode.size = dirs[inode.ino].size, icache[m] = mkientry(true, inode), err = ESUCCESS, files0 = (files ⊕ pcache) ⊕ icache, inode.directory, icache-cons(icache, dirs, files), m ∈ icache, inode.ino ∈ dirs ⊦ [icache_set_status#(m, false; err, icache)] (files0 = (files ⊕ pcache) ⊕ icache)

Rule argument

Additional information

Used simplifier rules: ⊦ valid-file-ino(ino, dirs, files) ↔ ino ∈ files; (s)%⊦ valid-file-inode(inode, dirs, files) ↔ valid-file-ino(inode.ino, dirs, files) ∧ inode.nlink = files[inode.ino].nlink ∧ inode.nsubdirs = 0 ∧ ¬ inode.directory; (s)% ⊦ valid-dir-ino(ino, dirs, files) ↔ ino ∈ dirs; (s)%⊦ valid-dir-inode(inode, dirs, files) ↔ valid-dir-ino(inode.ino, dirs, files) ∧ inode.nlink = dirs[inode.ino].nlink ∧ inode.size = dirs[inode.ino].size ∧ inode.nsubdirs = dirs[inode.ino].nsubdirs ∧ inode.directory; (s)%⊦ valid-wb-inode(inode, dirs, files) ↔ valid-dir-inode(inode, dirs, files) ∨ valid-file-inode(inode, dirs, files); (s)%⊦ pre-write-inode(inode, dirs, files) ↔ valid-wb-inode(inode, dirs, files); (s)