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Proof step 21 from proof refine-rename-overwrite-keep-parent-different (previous step)

¬ fs[ri[inodekey(fs[ri[dentrykey(m7, str0)]].ino)]].directory ↔ ¬ fs[ri[inodekey(fs[ri[dentrykey(m7, str)]].ino)]].directory, dirs = abs-dirs(fs, ri), err = err0, files = abs-files(fs, ri), m = fs[ri[dentrykey(m7, str)]].ino, m10 = fs[ri[inodekey(m7)]].size, m3 = fs[ri[dentrykey(m7, str0)]].ino, m8 = fs[ri[inodekey(m7)]].nlink, m9 = fs[ri[inodekey(m7)]].nsubdirs, new_child_inode = mkinode(fs[ri[dentrykey(m7, str0)]].ino, md0, boolvar2, m4, m5, m6), new_dent = mkdentry(str0, fs[ri[dentrykey(m7, str0)]].ino), old_child_inode = mkinode(m, md, boolvar1, m0, m1, m2), old_dent = mkdentry(str, fs[ri[dentrykey(m7, str)]].ino), old_parent_inode = mkinode(m7, md1, true, fs[ri[inodekey(m7)]].nlink, fs[ri[inodekey(m7)]].nsubdirs, fs[ri[inodekey(m7)]].size), parent_inode = old_parent_inode, ro = orphans(fs, ri), fs[ri[inodekey(m7)]].directory, fo.inodes?, orphans(fs, ri).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(fi), ri-inj(ri), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), inodekey(fs[ri[dentrykey(m7, str)]].ino) ∈ ri, inodekey(fs[ri[dentrykey(m7, str0)]].ino) ∈ ri, dentrykey(m7, str) ∈ ri, dentrykey(m7, str0) ∈ ri, inodekey(m7) ∈ ri, 1 ≤ fs[ri[inodekey(m7)]].size, boolvar1 → 1 ≤ fs[ri[inodekey(m7)]].nsubdirs, m4 = 1 → links(fs[ri[dentrykey(m7, str0)]].ino, fs, ri) = ∅ ++ dentrykey(m7, str0), boolvar → boolvar0, fs[ri[inodekey(fs[ri[dentrykey(m7, str0)]].ino)]].directory → abs-children(fs[ri[dentrykey(m7, str0)]].ino, fs, ri) = ∅, fs[ri[inodekey(fs[ri[dentrykey(m7, str0)]].ino)]].directory → dentrykeys(inodekey(fs[ri[dentrykey(m7, str0)]].ino), ri) = ∅, fs[ri[inodekey(m7)]].nlink ≠ 0 ∨ m7 = ROOT_INO, links(m7, abs-dirs(fs, ri)) ≠ ∅ ∨ m7 = ROOT_INO, ¬ fs[ri[inodekey(fs[ri[dentrykey(m7, str)]].ino)]].directory ∧ ¬ boolvar1 ∧ m0 = fs[ri[inodekey(fs[ri[dentrykey(m7, str)]].ino)]].nlink ∧ m1 = fs[ri[inodekey(fs[ri[dentrykey(m7, str)]].ino)]].nsubdirs ∨ fs[ri[inodekey(fs[ri[dentrykey(m7, str)]].ino)]].directory ∧ boolvar1 ∧ m0 = fs[ri[inodekey(fs[ri[dentrykey(m7, str)]].ino)]].nlink ∧ m1 = fs[ri[inodekey(fs[ri[dentrykey(m7, str)]].ino)]].nsubdirs ∧ m2 = fs[ri[inodekey(fs[ri[dentrykey(m7, str)]].ino)]].size, ¬ fs[ri[inodekey(fs[ri[dentrykey(m7, str)]].ino)]].directory ∧ ¬ boolvar2 ∧ m4 = fs[ri[inodekey(fs[ri[dentrykey(m7, str0)]].ino)]].nlink ∧ m5 = fs[ri[inodekey(fs[ri[dentrykey(m7, str0)]].ino)]].nsubdirs ∨ fs[ri[inodekey(fs[ri[dentrykey(m7, str0)]].ino)]].directory ∧ boolvar2 ∧ 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, fs[ri[inodekey(fs[ri[dentrykey(m7, str)]].ino)]].directory ∧ m0 = fs[ri[inodekey(fs[ri[dentrykey(m7, str)]].ino)]].nlink ∧ m2 = fs[ri[inodekey(fs[ri[dentrykey(m7, str)]].ino)]].size ∧ m1 = fs[ri[inodekey(fs[ri[dentrykey(m7, str)]].ino)]].nsubdirs ∧ boolvar1 ∨ ¬ fs[ri[inodekey(fs[ri[dentrykey(m7, str)]].ino)]].directory ∧ m0 = fs[ri[inodekey(fs[ri[dentrykey(m7, str)]].ino)]].nlink ∧ m1 = 0 ∧ ¬ boolvar1, fs[ri[inodekey(fs[ri[dentrykey(m7, str0)]].ino)]].directory ∧ m4 = fs[ri[inodekey(fs[ri[dentrykey(m7, str0)]].ino)]].nlink ∧ m6 = fs[ri[inodekey(fs[ri[dentrykey(m7, str0)]].ino)]].size ∧ m5 = fs[ri[inodekey(fs[ri[dentrykey(m7, str0)]].ino)]].nsubdirs ∧ boolvar2 ∨ ¬ fs[ri[inodekey(fs[ri[dentrykey(m7, str)]].ino)]].directory ∧ m4 = fs[ri[inodekey(fs[ri[dentrykey(m7, str0)]].ino)]].nlink ∧ m5 = 0 ∧ ¬ boolvar2 ⊦ [if pre-rename-overwrite-keep-parent(parent_inode, old_dent, old_child_inode, new_dent, new_child_inode, fs, ri, ro) ∧ (boolvar1 ↔ old_child_inode.directory) then choose key2, key1, key0, key, nd2, nd1, nd0, nd, adr2, adr1, adr0, adr with true in let boolvar = old_dent = new_dent in {key2 := dentrykey(parent_inode.ino, old_dent.name); nd2 := dentrynode(key2, 0); key1 := dentrykey(parent_inode.ino, new_dent.name); nd1 := dentrynode(key1, old_dent.ino); key0 := inodekey(parent_inode.ino); key := inodekey(new_dent.ino); if ¬ boolvar then {nd0 := inodenode (key0, parent_inode.meta, parent_inode.directory, parent_inode.nlink, parent_inode.nsubdirs - (boolvar1 ⊃ 1;0), parent_inode.size - 1); nd := inodenode (key, new_child_inode.meta, new_child_inode.directory, new_child_inode.nlink - 1, new_child_inode.nsubdirs, new_child_inode.size)} else {nd0 := inodenode(key0, parent_inode.meta, parent_inode.directory, parent_inode.nlink, parent_inode.nsubdirs, parent_inode.size); nd := inodenode (key, new_child_inode.meta, new_child_inode.directory, new_child_inode.nlink, new_child_inode.nsubdirs, new_child_inode.size)}; aubifs_core_journal_add4#(nd2, nd1, nd0, nd, ri, fi, ro, fo; adr2, adr1, adr0, adr, fs, log; boolvar0, err); if err = ESUCCESS then {aubifs_core_index_remove#(key2, fi, ro, fo, fs, log, boolvar0; ri); aubifs_core_index_store#(key1, adr1, fi, ro, fo, fs, log, boolvar0; ri); aubifs_core_index_store#(key0, adr0, fi, ro, fo, fs, log, boolvar0; ri); aubifs_core_index_store#(key, adr, fi, ro, fo, fs, log, boolvar0; ri); if nd.nlink = 0 then aubifs_core_orphans_insert#(key, ri, fi, fo, fs, log, boolvar0; ro); new_dent := mkdentry(new_dent.name, old_dent.ino); old_dent := negdentry(old_dent.name); parent_inode := mkinode(parent_inode.ino, nd0.meta, nd0.directory, nd0.nlink, nd0.nsubdirs, nd0.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? → ⟪new_parent_inode := parent_inode⟫ ⟨old_dent_inode0 := mkinode(m, md, boolvar1, m0, m1, m2); old_dent0 := mkdentry(str, m); old_dent1 := mkdentry(str0, m3); old_inode := mkinode(m7, md1, true, m8, m9, m10); old_dent_inode := mkinode(m, md, boolvar1, m0, m1, m2); new_dent_inode := mkinode(m3, md0, boolvar2, m4, m5, m6); new_inode := mkinode(m7, md1, true, m8, m9, m10); afs_rename#(; old_inode, new_inode, old_dent_inode, new_dent_inode, old_dent0, old_dent1, err0, dirs, files; boolvar)⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ orphans(abs-dirs(fs, ri), abs-files(fs, ri)) = abs-keys(ro) ∧ (boolvar → boolvar0) ∧ 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(m7)]].size = 0, m4 = 0, mkdentry(str, fs[ri[dentrykey(m7, str)]].ino) = mkdentry(str0, fs[ri[dentrykey(m7, str0)]].ino), fs[ri[inodekey(m7)]].nlink = 0 ∧ m7 ≠ ROOT_INO

Heuristic conditional right split applied rule if right

And obtained the following new goals

Rule argument

pos: right 1

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