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Proof step 455 from proof refine-rename-overwrite-keep-parent-identity (previous step)

boolvar0 ↔ boolvar, adr1 = adr5, adr5 = adr3, adr6 = adr2, dirs = abs-dirs(fs, ri), err = ENOSPC, files = abs-files(fs, ri), key = inodekey(fs[ri[dentrykey(m6, str)]].ino), m = fs[ri[dentrykey(m6, str)]].ino, m7 = fs[ri[inodekey(m6)]].nlink, m8 = fs[ri[inodekey(m6)]].nsubdirs, m9 = fs[ri[inodekey(m6)]].size, nd = inodenode(key, md, boolvar3, m0, m1, m2), nd0 = inodenode(inodekey(m6), md1, true, m7, m8, m9), nd1 = dentrynode(dentrykey(m6, new_dent.name), new_dent.ino), nd2 = dentrynode(dentrykey(m6, new_dent.name), 0), new_child_inode = mkinode(m, md, boolvar3, m0, m1, m2), new_dent = mkdentry(str, fs[ri[dentrykey(m6, str)]].ino), new_dent_inode = mkinode(m, md, boolvar3, m0, m1, m2), old_dent = new_dent, old_dent1 = mkdentry(str, m), old_dent2 = mkdentry(str, m), old_inode = mkinode(m6, md1, true, m7, m8, m9), old_parent_inode = mkinode(m6, md1, true, m7, m8, m9), ro = orphans(fs, ri), ro0 = orphans(fs, ri), new_dent.dentry?, fs[ri[inodekey(m6)]].directory, ro0.inodes?, 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), node-cons(nd.key, nd), node-cons(nd0.key, nd0), node-cons(nd1.key, nd1), node-cons(nd2.key, nd2), orphans-cons(fs, ri, ro0), orphans-cons(fs, ri, orphans(fs, ri)), replay-cons-strong(fs, ri, ro0, fi, fo, log), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), ri-cons(ri, fs), ri-inj(fi), ri-inj(ri), ubifs-cons(fs, ri, ro0, fi, fo, log), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), dentrykey(m6, str) ∈ ri, inodekey(fs[ri[dentrykey(m6, str)]].ino) ∈ ri, inodekey(m6) ∈ ri, 1 ≤ fs[ri[inodekey(m6)]].size, fs[ri[inodekey(fs[ri[dentrykey(m6, str)]].ino)]].directory → dentrykeys(inodekey(fs[ri[dentrykey(m6, str)]].ino), ri) = ∅, fs[ri[inodekey(fs[ri[dentrykey(m6, str)]].ino)]].directory → abs-children(fs[ri[dentrykey(m6, str)]].ino, fs, ri) = ∅, boolvar4 → boolvar1, m0 = 1 → links(fs[ri[dentrykey(m6, str)]].ino, fs, ri) = ∅ ++ dentrykey(m6, str), boolvar2 → 1 ≤ fs[ri[inodekey(m6)]].nsubdirs, ∀ adr1, adr2, adr3, adr4. ¬(new(adr1 ' + adr2 ' + (adr3 ' + adr4), fs) ∧ ¬ dups(adr1 ' + adr2 ' + adr3 ' + adr4 ')), fs[ri[inodekey(fs[ri[dentrykey(m6, str)]].ino)]].directory ∧ m0 = fs[ri[inodekey(fs[ri[dentrykey(m6, str)]].ino)]].nlink ∧ m2 = fs[ri[inodekey(fs[ri[dentrykey(m6, str)]].ino)]].size ∧ m1 = fs[ri[inodekey(fs[ri[dentrykey(m6, str)]].ino)]].nsubdirs ∧ boolvar3 ∨ ¬ fs[ri[inodekey(fs[ri[dentrykey(m6, str)]].ino)]].directory ∧ m0 = fs[ri[inodekey(fs[ri[dentrykey(m6, str)]].ino)]].nlink ∧ m1 = 0 ∧ ¬ boolvar3, fs[ri[inodekey(fs[ri[dentrykey(m6, str)]].ino)]].directory ∧ m3 = fs[ri[inodekey(fs[ri[dentrykey(m6, str)]].ino)]].nlink ∧ m5 = fs[ri[inodekey(fs[ri[dentrykey(m6, str)]].ino)]].size ∧ m4 = fs[ri[inodekey(fs[ri[dentrykey(m6, str)]].ino)]].nsubdirs ∧ boolvar2 ∨ ¬ fs[ri[inodekey(fs[ri[dentrykey(m6, str)]].ino)]].directory ∧ m3 = fs[ri[inodekey(fs[ri[dentrykey(m6, str)]].ino)]].nlink ∧ m4 = 0 ∧ ¬ boolvar2, ¬ fs[ri[inodekey(fs[ri[dentrykey(m6, str)]].ino)]].directory ∧ ¬ boolvar3 ∧ m0 = fs[ri[inodekey(fs[ri[dentrykey(m6, str)]].ino)]].nlink ∧ m1 = fs[ri[inodekey(fs[ri[dentrykey(m6, str)]].ino)]].nsubdirs ∨ fs[ri[inodekey(fs[ri[dentrykey(m6, str)]].ino)]].directory ∧ boolvar3 ∧ m0 = fs[ri[inodekey(fs[ri[dentrykey(m6, str)]].ino)]].nlink ∧ m1 = fs[ri[inodekey(fs[ri[dentrykey(m6, str)]].ino)]].nsubdirs ∧ m2 = fs[ri[inodekey(fs[ri[dentrykey(m6, str)]].ino)]].size, ¬ fs[ri[inodekey(fs[ri[dentrykey(m6, str)]].ino)]].directory ∧ ¬ boolvar2 ∧ m3 = fs[ri[inodekey(fs[ri[dentrykey(m6, str)]].ino)]].nlink ∧ m4 = fs[ri[inodekey(fs[ri[dentrykey(m6, str)]].ino)]].nsubdirs ∨ fs[ri[inodekey(fs[ri[dentrykey(m6, str)]].ino)]].directory ∧ boolvar2 ∧ m3 = fs[ri[inodekey(fs[ri[dentrykey(m6, str)]].ino)]].nlink ∧ m4 = fs[ri[inodekey(fs[ri[dentrykey(m6, str)]].ino)]].nsubdirs ∧ m5 = fs[ri[inodekey(fs[ri[dentrykey(m6, str)]].ino)]].size, links(m6, abs-dirs(fs, ri)) ≠ ∅ ∨ m6 = ROOT_INO, fs[ri[inodekey(m6)]].nlink ≠ 0 ∨ m6 = ROOT_INO ⊦ ⟨old_dent_inode := mkinode(m, md0, boolvar2, m3, m4, m5); new_inode := mkinode(m6, md1, true, m7, m8, m9); afs_rename#(; old_inode, new_inode, old_dent_inode, new_dent_inode, old_dent1, old_dent2, err0, dirs, files; boolvar4)⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ orphans(abs-dirs(fs, ri), abs-files(fs, ri)) = abs-keys(ro0) ∧ (boolvar4 → boolvar0) ∧ old_parent_inode = old_inode ∧ old_parent_inode = new_inode ∧ mkinode(m, md0, boolvar2, m3, m4, m5) = old_dent_inode ∧ new_child_inode = new_dent_inode ∧ old_dent = old_dent1 ∧ new_dent = old_dent2 ∧ err = err0), fs[ri[dentrykey(m6, str)]].ino = ROOT_INO, fs[ri[inodekey(m6)]].size = 0, m0 = 0, fs[ri[inodekey(m6)]].nlink = 0 ∧ m6 ≠ ROOT_INO

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

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