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Proof step 107 from proof refine-rename-overwrite-reparent-dir (previous step)

boolvar ↔ boolvar1, fs0[ri0[inodekey(m0)]] = inodenode(key3, md5, true, 1, m6, m8), fs0[ri0[inodekey(m11)]] = inodenode(key2, md4, true, m4, m16 + 1, m13 + 1), fs0[ri0[dentrykey(m7, str0)]] = dentrynode(key0, m0), fs0[ri0[dentrykey(m11, str)]] = dentrynode(key4, m), fs0[ri0[inodekey(m7)]] = inodenode(key1, md3, true, m1, m2, m3), abs-children(m0, fs0, ri0) = ∅, dentrykeys(inodekey(m0), ri0) = ∅, fs = fs0[adr1, dentrynode(dentrykey(m11, str), 0)][adr2, dentrynode(dentrykey(m7, str0), m)][adr3, inodenode(inodekey(m11), md2, true, m4, m16, m13)] [adr4, inodenode(inodekey(m7), md1, true, m1, m2, m3) ] [adr5, inodenode(inodekey(m0), md0, true, 0, m6, m8) ], key = inodekey(mkdentry(str0, m0).ino), links(m0, fs0, ri0) = ∅ ++ dentrykey(m7, str0), log = ((((log0 + adr1 ') + adr2 ') + adr3 ') + adr4 ') + adr5 ', new_dent_inode = mkinode(m0, md0, true, 1, m6, m8), old_dent0 = mkdentry(str, m), old_dent1 = mkdentry(str0, m0), old_dent_inode = mkinode(m, md, true, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, fs0[ri0[inodekey(m)]].size), ri = (ri0 -- dentrykey(m11, str))[dentrykey(m7, str0), adr2][inodekey(m11), adr3][inodekey(m7), adr4][inodekey(mkdentry(str0, m0).ino), adr5], ro = orphans(fs0, ri0), mkdentry(str, m).dentry?, mkdentry(str0, m0).dentry?, fs0[ri0[inodekey(m)]].directory, fs0[ri0[inodekey(m)]].inode?, inodenode(inodekey(m11), md2, true, m4, m16, m13).inode?, inodenode(inodekey(mkdentry(str0, m0).ino), md0, true, 0, m6, m8).inode?, fo.inodes?, orphans(fs0, ri0).inodes?, (ro ++ key).inodes?, afs-cons(abs-dirs(fs0, ri0), abs-files(fs0, ri0)), file-node-cons(fs0, ri0), file-node-cons (fs0[adr1, dentrynode(dentrykey(m11, str), 0)][adr2, dentrynode(dentrykey(m7, str0), m)][adr3, inodenode(inodekey(m11), md2, true, m4, m16, m13)] [adr4, inodenode(inodekey(m7), md1, true, m1, m2, m3) ] [adr5, inodenode(inodekey(m0), md0, true, 0, m6, m8) ], (ri0 -- dentrykey(m11, str))[dentrykey(m7, str0), adr2][inodekey(m11), adr3][inodekey(m7), adr4][inodekey(m0), adr5]), log-cons(log0, fs0), log-cons (log0, fs0[adr1, dentrynode(dentrykey(m11, str), 0)][adr2, dentrynode(dentrykey(m7, str0), m)][adr3, inodenode(inodekey(m11), md2, true, m4, m16, m13)] [adr4, inodenode(inodekey(m7), md1, true, m1, m2, m3) ] [adr5, inodenode(inodekey(m0), md0, true, 0, m6, m8) ]), orphans-cons(fs0, ri0, orphans(fs0, ri0)), orphans-cons (fs0[adr1, dentrynode(dentrykey(m11, str), 0)][adr2, dentrynode(dentrykey(m7, str0), m)][adr3, inodenode(inodekey(m11), md2, true, m4, m16, m13)] [adr4, inodenode(inodekey(m7), md1, true, m1, m2, m3) ] [adr5, inodenode(inodekey(m0), md0, true, 0, m6, m8) ], (ri0 -- dentrykey(m11, str))[dentrykey(m7, str0), adr2][inodekey(m11), adr3][inodekey(m7), adr4][inodekey(m0), adr5], ro ++ key), replay-cons-strong(fs0, ri0, orphans(fs0, ri0), fi, fo, log0), replay-cons-strong (fs0[adr1, dentrynode(dentrykey(m11, str), 0)][adr2, dentrynode(dentrykey(m7, str0), m)][adr3, inodenode(inodekey(m11), md2, true, m4, m16, m13)] [adr4, inodenode(inodekey(m7), md1, true, m1, m2, m3) ] [adr5, inodenode(inodekey(m0), md0, true, 0, m6, m8) ], (ri0 -- dentrykey(m11, str))[dentrykey(m7, str0), adr2][inodekey(m11), adr3][inodekey(m7), adr4][inodekey(m0), adr5], ro ++ key, fi, fo, ((((log0 + adr1 ') + adr2 ') + adr3 ') + adr4 ') + adr5 '), ri-cons(ri0, fs0), ri-inj(fi), ri-inj(ri0), ri-inj((ri0 -- dentrykey(m11, str))[dentrykey(m7, str0), adr2][inodekey(m11), adr3][inodekey(m7), adr4][inodekey(m0), adr5]), ubifs-cons(fs0, ri0, orphans(fs0, ri0), fi, fo, log0), ubifs-cons (fs0[adr1, dentrynode(dentrykey(m11, str), 0)][adr2, dentrynode(dentrykey(m7, str0), m)][adr3, inodenode(inodekey(m11), md2, true, m4, m16, m13)] [adr4, inodenode(inodekey(m7), md1, true, m1, m2, m3) ] [adr5, inodenode(inodekey(m0), md0, true, 0, m6, m8) ], (ri0 -- dentrykey(m11, str))[dentrykey(m7, str0), adr2][inodekey(m11), adr3][inodekey(m7), adr4][inodekey(m0), adr5], ro ++ key, fi, fo, ((((log0 + adr1 ') + adr2 ') + adr3 ') + adr4 ') + adr5 '), inodekey(m) ∈ ri0, ri0[inodekey(m)] ∈ fs0, ri0[dentrykey(m11, str)] ∈ fs0, ri0[inodekey(m11)] ∈ fs0, ri0[inodekey(m7)] ∈ fs0, ri0[inodekey(m0)] ∈ fs0, ri0[dentrykey(m7, str0)] ∈ fs0, inodekey(m11) ∈ ri0, inodekey(m7) ∈ ri0, dentrykey(m11, str) ∈ ri0, inodekey(m0) ∈ ri0, dentrykey(m7, str0) ∈ ri0, boolvar2 → boolvar0, fs0[ri0[inodekey(m)]].trunc? ∨ fs0[ri0[inodekey(m)]].inode?, inodenode(inodekey(m11), md2, true, m4, m16, m13).trunc? ∨ inodenode(inodekey(m11), md2, true, m4, m16, m13).inode?, m4 ≠ 0 ∨ m11 = ROOT_INO, m1 ≠ 0 ∨ m7 = ROOT_INO, links(m11, abs-dirs(fs0, ri0)) ≠ ∅ ∨ m11 = ROOT_INO, links(m7, abs-dirs(fs0, ri0)) ≠ ∅ ∨ m7 = ROOT_INO, inodenode(inodekey(mkdentry(str0, m0).ino), md0, true, 0, m6, m8).trunc? ∨ inodenode(inodekey(mkdentry(str0, m0).ino), md0, true, 0, m6, m8).inode? ⊦ ⟨new_inode := mkinode(m7, md1, true, m1, m2, m3); old_inode := mkinode(m11, md2, true, m4, m16 + 1, m13 + 1); files := abs-files(fs0, ri0); dirs := abs-dirs(fs0, ri0); afs_rename#(; old_inode, new_inode, old_dent_inode, new_dent_inode, old_dent0, old_dent1, err0, dirs, files; boolvar2)⟩ ( dirs = abs-dirs (fs0[adr1, dentrynode(dentrykey(m11, str), 0)][adr2, dentrynode(dentrykey(m7, str0), m)] [adr3, inodenode(inodekey(m11), md2, true, m4, m16, m13) ] [adr4, inodenode(inodekey(m7), md1, true, m1, m2, m3) ] [adr5, inodenode(inodekey(m0), md0, true, 0, m6, m8) ], (ri0 -- dentrykey(m11, str))[dentrykey(m7, str0), adr2][inodekey(m11), adr3][inodekey(m7), adr4][inodekey(m0), adr5]) ∧ files = abs-files (fs0[adr1, dentrynode(dentrykey(m11, str), 0)][adr2, dentrynode(dentrykey(m7, str0), m)] [adr3, inodenode(inodekey(m11), md2, true, m4, m16, m13) ] [adr4, inodenode(inodekey(m7), md1, true, m1, m2, m3) ] [adr5, inodenode(inodekey(m0), md0, true, 0, m6, m8) ], (ri0 -- dentrykey(m11, str))[dentrykey(m7, str0), adr2][inodekey(m11), adr3][inodekey(m7), adr4][inodekey(m0), adr5]) ∧ orphans (abs-dirs (fs0[adr1, dentrynode(dentrykey(m11, str), 0)][adr2, dentrynode(dentrykey(m7, str0), m)] [adr3, inodenode(inodekey(m11), md2, true, m4, m16, m13) ] [adr4, inodenode(inodekey(m7), md1, true, m1, m2, m3) ] [adr5, inodenode(inodekey(m0), md0, true, 0, m6, m8) ], (ri0 -- dentrykey(m11, str))[dentrykey(m7, str0), adr2][inodekey(m11), adr3][inodekey(m7), adr4][inodekey(m0), adr5]), abs-files (fs0[adr1, dentrynode(dentrykey(m11, str), 0)][adr2, dentrynode(dentrykey(m7, str0), m)] [adr3, inodenode(inodekey(m11), md2, true, m4, m16, m13) ] [adr4, inodenode(inodekey(m7), md1, true, m1, m2, m3) ] [adr5, inodenode(inodekey(m0), md0, true, 0, m6, m8) ], (ri0 -- dentrykey(m11, str))[dentrykey(m7, str0), adr2][inodekey(m11), adr3][inodekey(m7), adr4][inodekey(m0), adr5])) = abs-keys(ro ++ key) ∧ (boolvar2 → boolvar1) ∧ mkinode (m11, inodenode(inodekey(m11), md2, true, m4, m16, m13).meta, inodenode(inodekey(m11), md2, true, m4, m16, m13).directory, inodenode(inodekey(m11), md2, true, m4, m16, m13).nlink, inodenode(inodekey(m11), md2, true, m4, m16, m13).nsubdirs, inodenode(inodekey(m11), md2, true, m4, m16, m13).size) = old_inode ∧ mkinode(m7, md1, true, m1, m2, m3) = new_inode ∧ mkinode(m, md, true, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, fs0[ri0[inodekey(m)]].size) = old_dent_inode ∧ mkinode (m0, inodenode(inodekey(mkdentry(str0, m0).ino), md0, true, 0, m6, m8).meta, inodenode(inodekey(mkdentry(str0, m0).ino), md0, true, 0, m6, m8).directory, inodenode(inodekey(mkdentry(str0, m0).ino), md0, true, 0, m6, m8).nlink, inodenode(inodekey(mkdentry(str0, m0).ino), md0, true, 0, m6, m8).nsubdirs, inodenode(inodekey(mkdentry(str0, m0).ino), md0, true, 0, m6, m8).size) = new_dent_inode ∧ negdentry(str) = old_dent0 ∧ mkdentry(str0, mkdentry(str, m).ino) = old_dent1 ∧ ESUCCESS = err0), adr1 = adr5, adr1 = adr4, adr1 = adr3, adr1 = adr2, adr2 = adr5, adr2 = adr4, adr2 = adr3, adr3 = adr5, adr3 = adr4, adr4 = adr5, m0 = 0, m0 = ROOT_INO, m11 = 0, m11 = m7, m7 = 0, adr5 ∈ (ri0 -- dentrykey(m11, str))[dentrykey(m7, str0), adr2][inodekey(m11), adr3][inodekey(m7), adr4], adr3 ∈ (ri0 -- dentrykey(m11, str))[dentrykey(m7, str0), adr2], adr1 ∈ fs0, adr2 ∈ fs0, adr3 ∈ fs0, adr4 ∈ fs0, adr5 ∈ fs0, adr2 ∈ ri0 -- dentrykey(m11, str), adr4 ∈ (ri0 -- dentrykey(m11, str))[dentrykey(m7, str0), adr2][inodekey(m11), adr3], m1 = 0 ∧ m7 ≠ ROOT_INO, m4 = 0 ∧ m11 ≠ ROOT_INO

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

Additional information