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Proof step 54 from proof crash-neutral-link (previous step)

files1[entries[str]] = mkfile(m0, md4, # links(entries[str], dirs0), content0), dirs0[m] = mkdir(m1, md2, # links(m, dirs0), m5, entries1), dirs0[ino1] = mkdir(m4, md3, # links(ino1, dirs0), m6, entries0), entries0[str] = entries[str], dirs0[ino0] = mkdir(m2, md1, # links(ino0, dirs0), m8, entries), dirs = dirs0[m, mkdir(m1 + 1, md2, # links(m, dirs0), m5, entries1[str0, entries[str]])], files = files0[ino, files0[ino].size:= inode.size][ino, files0[ino, files0[ino].size:= inode.size][ino].meta:= inode.meta], files0 = files1[entries[str], mkfile(m0, md4, # links(entries[str], dirs0) + 1, content0)], ino = inode.ino, inode = mkinode(m, md, true, # links(m, dirs0), m5, m1), afs-cons(dirs0, files1), ino ∈ files0, ino1 ∈ dirs0, m ∈ dirs0, entries[str] ∈ files1, ino0 ∈ dirs0, str ∈ entries, str ∈ entries0, links(ino1, dirs0) ≠ ∅ ∨ ino1 = ROOT_INO, links(m, dirs0) ≠ ∅ ∨ m = ROOT_INO, links(ino0, dirs0) ≠ ∅ ∨ ino0 = ROOT_INO ⊦ ⟨afs_inode_sync#(mkinode(entries0[str], md0, false, # links(entries0[str], dirs0), 0, m3); dirs, files); p_inode := (m ∈ dirs ⊃ mkinode(m, dirs[m].meta, true, dirs[m].nlink, dirs[m].nsubdirs, dirs[m].size) ;mkinode(m, files[m].meta, false, files[m].nlink, 0, files[m].size) ); c_inode := getinode(mkdentry(str, entries0[str]).ino, dirs, files); err := ESUCCESS; asynced := ?⟩ (asynced ∧ dirs0 \ orphans(dirs0, files1) = dirs \ orphans(dirs, files) ∧ files1 \ orphans(dirs0, files1) = files \ orphans(dirs, files)), ∃ err0. ⌊err0⌋ ∧ ⟨err := err0; asynced := ?⟩ asynced, entries[str] ∈ dirs0, str0 ∈ entries1

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ files[ino, af][ino, af0] = files[ino, af0]; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).meta = md; (s)% ⊦ afs-cons(dirs, files) ∧ ino ∈ dirs → ¬ ino ∈ files; (s)% ⊦ ino ∈ files[ino0, af] ↔ ino ∈ files; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).size = m2; (s)% ⊦ files[ino, af][ino0] = (ino0 = ino ∧ ino ∈ files ⊃ af;files[ino0]); (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)