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Proof step 96 from proof inv-create (previous step)

dirs0[ino0] = mkdir(m2, md1, # links(ino0, dirs0), m4, entries), dirs = dirs0[ino0, mkdir(m2 + 1, md1, # links(ino0, dirs0), m4, entries[str, ino])], files = (files0 ++ ino)[ino, mkfile(0, md, 1, ∅)], ino ≠ 0, afs-cons(dirs0, files0), ispath(q, ROOT_INO, ino0, dirs0, files0), of-cons(of, dirs0, files0), pw(user, md1), px(user, md1), px-parent(user, q, ROOT_INO, dirs0, files0), ino0 ∈ dirs0, ¬ ino ∈ dirs0, ¬ ino ∈ files0, ¬ str ∈ entries, links(ino0, dirs0) ≠ ∅ ∨ ino0 = ROOT_INO ⊦ [afs_inode_sync#(mkinode(ino0, md1, true, # links(ino0, dirs0), m4, m2); dirs, files); inode := (ino0 ∈ dirs ⊃ mkinode(ino0, dirs[ino0].meta, true, dirs[ino0].nlink, dirs[ino0].nsubdirs, dirs[ino0].size) ;mkinode(ino0, files[ino0].meta, false, files[ino0].nlink, 0, files[ino0].size) ); c_inode := getinode(mkdentry(str, ino).ino, dirs, files); asynced := ?] (afs-cons(dirs, files) → of-cons(of, dirs, files))

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 97:
dirs0[ino0] = mkdir(m2, md1, # links(ino0, dirs0), m4, entries), dirs = dirs0[ino0, mkdir(m2 + 1, md1, # links(ino0, dirs0), m4, entries[str, ino])], files = (files0 ++ ino)[ino, mkfile(0, md, 1, ∅)], inode = mkinode(ino0, md1, true, # links(ino0, dirs0), m4, m2), afs-cons(dirs0, files0), ispath(q, ROOT_INO, ino0, dirs0, files0), of-cons(of, dirs0, files0), pw(user, md1), px(user, md1), px-parent(user, q, ROOT_INO, dirs0, files0), ino0 ∈ dirs0, links(ino0, dirs0) ≠ ∅ ∨ ino0 = ROOT_INO ⊦ [let ino = inode.ino in if ino ∈ files then {files[ino].size := inode.size; files[ino].meta := inode.meta} else if ino ∈ dirs then dirs[ino].meta := inode.meta; inode := (ino0 ∈ dirs ⊃ mkinode(ino0, dirs[ino0].meta, true, dirs[ino0].nlink, dirs[ino0].nsubdirs, dirs[ino0].size) ;mkinode(ino0, files[ino0].meta, false, files[ino0].nlink, 0, files[ino0].size) ); c_inode := getinode(mkdentry(str, ino).ino, dirs, files); asynced := ?] (afs-cons(dirs, files) → of-cons(of, dirs, files)), ino = 0, ino ∈ dirs0, ino ∈ files0, str ∈ entries

Rule argument

pos: right 1

Additional information

Used simplifier rules: afs_inode_sync#(INODE; DIRS, FILES) {let INO = INODE.ino in if INO ∈ FILES then {FILES[INO].size := INODE.size; FILES[INO].meta := INODE.meta} else if INO ∈ DIRS then DIRS[INO].meta := INODE.meta };