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Proof step 140 from proof inv-unlink (previous step)

dirs[ino1] = mkdir(m, md, # links(ino1, dirs), m1, entries), dent = mkdentry(str, dirs[ino1].entries[str]), err = err0, err = ESUCCESS, err1 = ESUCCESS, inode = (ino1 ∈ dirs ⊃ mkinode(ino1, md, true, # links(ino1, dirs), m1, m) ;mkinode(ino1, files[ino1].meta, false, files[ino1].nlink, 0, files[ino1].size) ), p_inode = getinode(mkdentry(str, entries[str]).ino, dirs, files), mkdentry(str, entries[str]).dentry?, dom of < ino0, afs-cons(dirs, files), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pw(user, md), px(user, md), px-parent(user, q, ROOT_INO, dirs, files), str ∈ dirs[ino1].entries, ino1 ∈ dirs, entries[str] ∈ files, str ∈ entries, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟪afs_unlink#(; inode, p_inode, dent, err, dirs, files; asynced); vfs_put_inode#(p_inode, of, asynced; err, dirs, files)⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files)), entries[str] ∈ dirs

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 141:
dirs[ino1] = mkdir(m, md, # links(ino1, dirs), m1, entries), dent = mkdentry(str, entries[str]), err = ESUCCESS, inode = mkinode(ino1, md, true, # links(ino1, dirs), m1, m), p_inode = mkinode(entries[str], files[entries[str]].meta, false, files[entries[str]].nlink, 0, files[entries[str]].size), dom of < ino0, afs-cons(dirs, files), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pw(user, md), px(user, md), px-parent(user, q, ROOT_INO, dirs, files), ino1 ∈ dirs, entries[str] ∈ files, str ∈ entries, ¬ entries[str] ∈ dirs, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ ⟪afs_unlink#(; inode, p_inode, dent, err, dirs, files; asynced); vfs_put_inode#(p_inode, of, asynced; err, dirs, files)⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files))

Rule argument

Additional information

Used simplifier rules: ⊦ mkdir(m, md, m0, m1, entries).entries = entries; (s)% ⊦ ¬ ⌊ESUCCESS⌋ ; (s)% ⊦ mkdentry(str, m).dentry?; (s)%⊦ getinode(ino, dirs, files) = (ino ∈ dirs ⊃ mkinode (ino, dirs[ino].meta, true, dirs[ino].nlink, dirs[ino].nsubdirs, dirs[ino].size) ;mkinode (ino, files[ino].meta, false, files[ino].nlink, 0, files[ino].size) ); (s)% ⊦ mkdentry(str, m).ino = m; (s)