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Proof step 21 from proof refine-rename-overwrite-reparent-dir (previous step)

boolvar0 ↔ true, boolvar ↔ boolvar1, abs-children(fs[ri[dentrykey(m7, str0)]].ino, fs, ri) = ∅, dentrykeys(inodekey(fs[ri[dentrykey(m7, str0)]].ino), ri) = ∅, dirs = abs-dirs(fs, ri), err = err0, files = abs-files(fs, ri), m = fs[ri[dentrykey(m11, str)]].ino, m0 = fs[ri[inodekey(fs[ri[dentrykey(m11, str)]].ino)]].nlink, m1 = fs[ri[inodekey(fs[ri[dentrykey(m11, str)]].ino)]].nsubdirs, m10 = fs[ri[inodekey(m7)]].size, m12 = fs[ri[inodekey(m11)]].nlink, m13 = fs[ri[inodekey(m11)]].nsubdirs, m14 = fs[ri[inodekey(m11)]].size, m2 = fs[ri[inodekey(fs[ri[dentrykey(m11, str)]].ino)]].size, m3 = fs[ri[dentrykey(m7, str0)]].ino, m4 = fs[ri[inodekey(fs[ri[dentrykey(m7, str0)]].ino)]].nlink, m5 = fs[ri[inodekey(fs[ri[dentrykey(m7, str0)]].ino)]].nsubdirs, m6 = fs[ri[inodekey(fs[ri[dentrykey(m7, str0)]].ino)]].size, m8 = fs[ri[inodekey(m7)]].nlink, m9 = fs[ri[inodekey(m7)]].nsubdirs, new_child_inode = mkinode (fs[ri[dentrykey(m7, str0)]].ino, md0, true, fs[ri[inodekey(fs[ri[dentrykey(m7, str0)]].ino)]].nlink, fs[ri[inodekey(fs[ri[dentrykey(m7, str0)]].ino)]].nsubdirs, fs[ri[inodekey(fs[ri[dentrykey(m7, str0)]].ino)]].size), new_dent = mkdentry(str0, fs[ri[dentrykey(m7, str0)]].ino), new_parent_inode = mkinode(m7, md1, true, fs[ri[inodekey(m7)]].nlink, fs[ri[inodekey(m7)]].nsubdirs, fs[ri[inodekey(m7)]].size), old_child_inode = mkinode(m, md, true, m0, m1, m2), old_dent = mkdentry(str, fs[ri[dentrykey(m11, str)]].ino), old_parent_inode = mkinode(m11, md2, true, fs[ri[inodekey(m11)]].nlink, fs[ri[inodekey(m11)]].nsubdirs, fs[ri[inodekey(m11)]].size), ro = orphans(fs, ri), fs[ri[inodekey(fs[ri[dentrykey(m11, str)]].ino)]].directory, fs[ri[inodekey(m7)]].directory, fs[ri[inodekey(fs[ri[dentrykey(m7, str0)]].ino)]].directory, fs[ri[inodekey(m11)]].directory, orphans(fs, ri).inodes?, fo.inodes?, afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)), file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, orphans(fs, ri)), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), ri-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), inodekey(m11) ∈ ri, inodekey(m7) ∈ ri, dentrykey(m7, str0) ∈ ri, inodekey(fs[ri[dentrykey(m7, str0)]].ino) ∈ ri, dentrykey(m11, str) ∈ ri, inodekey(fs[ri[dentrykey(m11, str)]].ino) ∈ ri, 1 ≤ fs[ri[inodekey(m11)]].nsubdirs, 1 ≤ fs[ri[inodekey(m11)]].size, boolvar2 → boolvar1, fs[ri[inodekey(fs[ri[dentrykey(m7, str0)]].ino)]].nlink = 1 → links(fs[ri[dentrykey(m7, str0)]].ino, fs, ri) = ∅ ++ dentrykey(m7, str0), links(m7, abs-dirs(fs, ri)) ≠ ∅ ∨ m7 = ROOT_INO, links(m11, abs-dirs(fs, ri)) ≠ ∅ ∨ m11 = ROOT_INO, fs[ri[inodekey(m7)]].nlink ≠ 0 ∨ m7 = ROOT_INO, fs[ri[inodekey(m11)]].nlink ≠ 0 ∨ m11 = ROOT_INO ⊦ [if pre-rename-overwrite-reparent(old_parent_inode, old_dent, old_child_inode, new_parent_inode, new_dent, new_child_inode, fs, ri, ro) ∧ (boolvar0 ↔ old_child_inode.directory) then choose key3, key2, key1, key0, key, nd3, nd2, nd1, nd0, nd, adr3, adr2, adr1, adr0, adr with true in {key3 := dentrykey(old_parent_inode.ino, old_dent.name); nd3 := dentrynode(key3, 0); key2 := dentrykey(new_parent_inode.ino, new_dent.name); nd2 := dentrynode(key2, old_dent.ino); key1 := inodekey(old_parent_inode.ino); nd1 := inodenode (key1, old_parent_inode.meta, old_parent_inode.directory, old_parent_inode.nlink, old_parent_inode.nsubdirs - (boolvar0 ⊃ 1;0), old_parent_inode.size - 1); key0 := inodekey(new_parent_inode.ino); nd0 := inodenode (key0, new_parent_inode.meta, new_parent_inode.directory, new_parent_inode.nlink, new_parent_inode.nsubdirs, new_parent_inode.size); key := inodekey(new_dent.ino); nd := inodenode (key, new_child_inode.meta, new_child_inode.directory, new_child_inode.nlink - 1, new_child_inode.nsubdirs, new_child_inode.size); aubifs_core_journal_add5#(nd3, nd2, nd1, nd0, nd, ri, fi, ro, fo; adr3, adr2, adr1, adr0, adr, fs, log; boolvar, err); if err = ESUCCESS then {aubifs_core_index_remove#(key3, fi, ro, fo, fs, log, boolvar; ri); aubifs_core_index_store#(key2, adr2, fi, ro, fo, fs, log, boolvar; ri); aubifs_core_index_store#(key1, adr1, fi, ro, fo, fs, log, boolvar; ri); aubifs_core_index_store#(key0, adr0, fi, ro, fo, fs, log, boolvar; ri); aubifs_core_index_store#(key, adr, fi, ro, fo, fs, log, boolvar; ri); if nd.nlink = 0 then aubifs_core_orphans_insert#(key, ri, fi, fo, fs, log, boolvar; ro); new_dent := mkdentry(new_dent.name, old_dent.ino); old_dent := negdentry(old_dent.name); old_parent_inode := mkinode(old_parent_inode.ino, nd1.meta, nd1.directory, nd1.nlink, nd1.nsubdirs, nd1.size); new_child_inode := mkinode(new_child_inode.ino, nd.meta, nd.directory, nd.nlink, nd.nsubdirs, nd.size)}} else abort] ( ubifs-cons(fs, ri, ro, fi, fo, log) ∧ replay-cons-strong(fs, ri, ro, fi, fo, log) ∧ file-node-cons(fs, ri) ∧ orphans-cons(fs, ri, ro) ∧ ri-inj(ri) ∧ log-cons(log, fs) ∧ ro.inodes? → ⟨old_dent_inode0 := mkinode(m, md, true, m0, m1, m2); old_dent0 := mkdentry(str, m); old_dent1 := mkdentry(str0, m3); old_dent_inode := mkinode(m, md, true, m0, m1, m2); new_dent_inode := mkinode(m3, md0, true, m4, m5, m6); new_inode := mkinode(m7, md1, true, m8, m9, m10); old_inode := mkinode(m11, md2, true, m12, m13, m14); afs_rename#(; old_inode, new_inode, old_dent_inode, new_dent_inode, old_dent0, old_dent1, err0, dirs, files; boolvar2)⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ orphans(abs-dirs(fs, ri), abs-files(fs, ri)) = abs-keys(ro) ∧ (boolvar2 → boolvar) ∧ old_parent_inode = old_inode ∧ new_parent_inode = new_inode ∧ old_dent_inode0 = old_dent_inode ∧ new_child_inode = new_dent_inode ∧ old_dent = old_dent0 ∧ new_dent = old_dent1 ∧ err = err0)), fs[ri[dentrykey(m7, str0)]].ino = ROOT_INO, fs[ri[inodekey(fs[ri[dentrykey(m7, str0)]].ino)]].nlink = 0, fs[ri[inodekey(m11)]].nsubdirs = 0, fs[ri[inodekey(m11)]].size = 0, m11 = m7, fs[ri[inodekey(m11)]].nlink = 0 ∧ m11 ≠ ROOT_INO, fs[ri[inodekey(m7)]].nlink = 0 ∧ m7 ≠ ROOT_INO

Heuristic symbolic execution applied rule if positive right

And obtained the following new goals

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ pre-rename-overwrite-reparent (old_parent_inode, old_dent, old_child_inode, new_parent_inode, new_dent, new_child_inode, fs, ri, ro) ↔ valid-dentry(new_parent_inode.ino, new_dent, fs, ri, ro) ∧ valid-wb-inode(new_child_inode, fs, ri) ∧ new_child_inode.ino = new_dent.ino ∧ ( valid-file-ino(new_dent.ino, fs, ri) ↔ valid-file-ino(old_dent.ino, fs, ri)) ∧ ( valid-dir-ino(new_dent.ino, fs, ri) → new_dent.ino ≠ ROOT_INO ∧ dentrykeys(inodekey(new_dent.ino), ri) = ∅) ∧ new_child_inode.ino ≠ ROOT_INO ∧ new_child_inode.nlink ≠ 0 ∧ ( new_child_inode.nlink = 1 → links(new_child_inode.ino, fs, ri) = {dentrykey(new_parent_inode.ino, new_dent.name)} ) ∧ valid-dentry(old_parent_inode.ino, old_dent, fs, ri, ro) ∧ valid-dir-inode(new_parent_inode, fs, ri) ∧ valid-dir-inode(old_parent_inode, fs, ri) ∧ new_parent_inode.ino ≠ old_parent_inode.ino ∧ valid-wb-inode(old_child_inode, fs, ri) ∧ old_child_inode.ino = old_dent.ino ∧ old_parent_inode.size ≥ 1 ∧ (old_child_inode.directory → old_parent_inode.nsubdirs ≥ 1); (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)%⊦ valid-dentry(ino, dent, fs, ri, ro) ↔ dent.dentry? ∧ valid-parent-ino(ino, fs, ri, ro) ∧ valid-ino(dent.ino, fs, ri) ∧ dentrykey(ino, dent.name) ∈ ri ∧ fs[ri[dentrykey(ino, dent.name)]].ino = dent.ino; (s)% ⊦ mkdentry(str, m).dentry?; (s)%⊦ valid-parent-ino(ino, fs, ri, ro) ↔ ( valid-dir-ino(ino, fs, ri) ∧ (fs[ri[inodekey(ino)]].nlink ≠ 0 ∨ ino = ROOT_INO)) ∧ ¬ inodekey(ino) ∈ ro; (s)%⊦ valid-dir-ino(ino, fs, ri) ↔ inodekey(ino) ∈ ri ∧ fs[ri[inodekey(ino)]].directory; (s)%⊦ dentrykey(ino, str) ∈ ri ∧ ubifs-cons(fs, ri, ro, fi, fo, log) → fs[ri[inodekey(ino)]].directory; (ss)%⊦ key ∈ orphans(fs, ri) ↔ key.inode? ∧ key ∈ ri ∧ fs[ri[key]].nlink = 0 ∧ key.ino ≠ ROOT_INO; (s)% ⊦ inodekey(m).inode?; (s)% ⊦ inodekey(m).ino = m; (s)% ⊦ mkdentry(str, m).ino = m; (s)% ⊦ valid-ino(ino, fs, ri) ↔ inodekey(ino) ∈ ri; (s)% ⊦ mkdentry(str, m).name = str; (s)%⊦ valid-wb-inode(inode, fs, ri) ↔ valid-file-inode(inode, fs, ri) ∨ valid-dir-inode(inode, fs, ri); (s)%⊦ valid-file-inode(inode, fs, ri) ↔ valid-file-ino(inode.ino, fs, ri) ∧ (inode.directory ↔ fs[ri[inodekey(inode.ino)]].directory) ∧ inode.nlink = fs[ri[inodekey(inode.ino)]].nlink ∧ inode.nsubdirs = fs[ri[inodekey(inode.ino)]].nsubdirs; (s)%⊦ valid-file-ino(ino, fs, ri) ↔ inodekey(ino) ∈ ri ∧ ¬ fs[ri[inodekey(ino)]].directory; (s)%⊦ valid-dir-inode(inode, fs, ri) ↔ valid-dir-ino(inode.ino, fs, ri) ∧ (inode.directory ↔ fs[ri[inodekey(inode.ino)]].directory) ∧ inode.nlink = fs[ri[inodekey(inode.ino)]].nlink ∧ inode.nsubdirs = fs[ri[inodekey(inode.ino)]].nsubdirs ∧ inode.size = fs[ri[inodekey(inode.ino)]].size; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).directory ↔ boolvar; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).nlink = m0; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).nsubdirs = m1; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).size = m2; (s)% ⊦ {key} = ∅ ++ key; (s)% ⊦ n ≥ m ↔ m ≤ n; (s)