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Proof step 146 from proof refine-rename-overwrite-reparent-file (previous step)

1 = fs0[ri0[inodekey(m0)]].nlink, 0 = fs0[ri0[inodekey(m0)]].nsubdirs, fs0[ri0[inodekey(m9)]] = inodenode(key1, md3, true, m1, m3, m14 + 1), fs0[ri0[dentrykey(m9, str)]] = dentrynode(key3, m), fs0[ri0[dentrykey(m4, str0)]] = dentrynode(key0, m0), fs0[ri0[inodekey(m4)]] = inodenode(key2, md4, true, m6, m7, m8), fs0[ri0[inodekey(m)]] = inodenode(key, md5, false, fs0[ri0[inodekey(m)]].nlink, 0, m12), abs-dirs(fs0, ri0)[m4] = mkdir(m2, md, m10, m11, entries), dirs = abs-dirs(fs0, ri0)[m9, mkdir(m14, md3, m1, m3, abs-children(m9, fs0, ri0) -- str)][m4, mkdir(m2, md, m10, m11, entries[str0, m])], files = abs-files(fs0, ri0), ino = mkdentry(str0, m0).ino, links(m0, fs0, ri0) = ∅ ++ dentrykey(m4, str0), mkdentry(str0, m0).dentry?, fo.inodes?, orphans(fs0, ri0).inodes?, afs-cons(abs-dirs(fs0, ri0), abs-files(fs0, ri0)), file-node-cons(fs0, ri0), file-node-cons (fs0[adr1, dentrynode(dentrykey(m9, str), 0)][adr2, dentrynode(dentrykey(m4, str0), m)][adr3, inodenode(inodekey(m9), md2, true, m1, m3, m14)] [adr4, inodenode(inodekey(m4), md1, true, m6, m7, m8) ] [adr5, inodenode(inodekey(m0), md0, false, 0, 0, m5) ], (ri0 -- dentrykey(m9, str))[dentrykey(m4, str0), adr2][inodekey(m9), adr3][inodekey(m4), adr4][inodekey(m0), adr5]), log-cons(log0, fs0), log-cons (log0, fs0[adr1, dentrynode(dentrykey(m9, str), 0)][adr2, dentrynode(dentrykey(m4, str0), m)][adr3, inodenode(inodekey(m9), md2, true, m1, m3, m14)] [adr4, inodenode(inodekey(m4), md1, true, m6, m7, m8) ] [adr5, inodenode(inodekey(m0), md0, false, 0, 0, m5) ]), orphans-cons (fs0[adr1, dentrynode(dentrykey(m9, str), 0)][adr2, dentrynode(dentrykey(m4, str0), m)][adr3, inodenode(inodekey(m9), md2, true, m1, m3, m14)] [adr4, inodenode(inodekey(m4), md1, true, m6, m7, m8) ] [adr5, inodenode(inodekey(m0), md0, false, 0, 0, m5) ], (ri0 -- dentrykey(m9, str))[dentrykey(m4, str0), adr2][inodekey(m9), adr3][inodekey(m4), adr4][inodekey(m0), adr5], orphans(fs0, ri0) ++ inodekey(m0)), orphans-cons(fs0, ri0, orphans(fs0, ri0)), replay-cons-strong(fs0, ri0, orphans(fs0, ri0), fi, fo, log0), replay-cons-strong (fs0[adr1, dentrynode(dentrykey(m9, str), 0)][adr2, dentrynode(dentrykey(m4, str0), m)][adr3, inodenode(inodekey(m9), md2, true, m1, m3, m14)] [adr4, inodenode(inodekey(m4), md1, true, m6, m7, m8) ] [adr5, inodenode(inodekey(m0), md0, false, 0, 0, m5) ], (ri0 -- dentrykey(m9, str))[dentrykey(m4, str0), adr2][inodekey(m9), adr3][inodekey(m4), adr4][inodekey(m0), adr5], orphans(fs0, ri0) ++ inodekey(m0), fi, fo, ((((log0 + adr1 ') + adr2 ') + adr3 ') + adr4 ') + adr5 '), ri-cons(ri0, fs0), ri-inj(fi), ri-inj(ri0), ri-inj((ri0 -- dentrykey(m9, str))[dentrykey(m4, str0), adr2][inodekey(m9), adr3][inodekey(m4), adr4][inodekey(m0), adr5]), ubifs-cons(fs0, ri0, orphans(fs0, ri0), fi, fo, log0), ubifs-cons (fs0[adr1, dentrynode(dentrykey(m9, str), 0)][adr2, dentrynode(dentrykey(m4, str0), m)][adr3, inodenode(inodekey(m9), md2, true, m1, m3, m14)] [adr4, inodenode(inodekey(m4), md1, true, m6, m7, m8) ] [adr5, inodenode(inodekey(m0), md0, false, 0, 0, m5) ], (ri0 -- dentrykey(m9, str))[dentrykey(m4, str0), adr2][inodekey(m9), adr3][inodekey(m4), adr4][inodekey(m0), adr5], orphans(fs0, ri0) ++ inodekey(m0), fi, fo, ((((log0 + adr1 ') + adr2 ') + adr3 ') + adr4 ') + adr5 '), inodekey(m) ∈ ri0, ri0[inodekey(m)] ∈ fs0, dentrykey(m9, str) ∈ ri0, inodekey(m0) ∈ ri0, dentrykey(m4, str0) ∈ ri0, inodekey(m9) ∈ ri0, inodekey(m4) ∈ ri0, ri0[dentrykey(m4, str0)] ∈ fs0, ri0[inodekey(m4)] ∈ fs0, ri0[inodekey(m9)] ∈ fs0, ri0[dentrykey(m9, str)] ∈ fs0, boolvar2 → boolvar3, links(m9, abs-dirs(fs0, ri0)) ≠ ∅ ∨ m9 = ROOT_INO, links(m4, abs-dirs(fs0, ri0)) ≠ ∅ ∨ m4 = ROOT_INO, m1 ≠ 0 ∨ m9 = ROOT_INO, m6 ≠ 0 ∨ m4 = ROOT_INO ⊦ ⟨skip; if ino ∈ files then files[ino].nlink := files[ino].nlink - 1; old_dent := mkdentry(str, m); boolvar0 := true; if ¬ boolvar0 then {dirs[m4].size := dirs[m4].size + 1; if old_dent.ino ∈ dirs then dirs[m4].nsubdirs := dirs[m4].nsubdirs + 1}; new_dent := mkdentry(str0, old_dent.ino); old_dent := negdentry(old_dent.name); afs_inode_sync#(mkinode(m9, md2, true, m1, m3, m14 + 1); dirs, files); afs_inode_sync#(mkinode(m4, md1, true, m6, m7, m8); dirs, files); new_child_inode := mkinode(m0, md0, false, 1, 0, m5); if boolvar0 then {afs_inode_sync#(new_child_inode; dirs, files); new_child_inode := (new_child_inode.ino ∈ dirs ⊃ mkinode (new_child_inode.ino, dirs[new_child_inode.ino].meta, true, dirs[new_child_inode.ino].nlink, dirs[new_child_inode.ino].nsubdirs, dirs[new_child_inode.ino].size) ;mkinode (new_child_inode.ino, files[new_child_inode.ino].meta, false, files[new_child_inode.ino].nlink, 0, files[new_child_inode.ino].size) )}; old_inode := (m9 ∈ dirs ⊃ mkinode(m9, dirs[m9].meta, true, dirs[m9].nlink, dirs[m9].nsubdirs, dirs[m9].size) ;mkinode(m9, files[m9].meta, false, files[m9].nlink, 0, files[m9].size) ); new_inode := (m4 ∈ dirs ⊃ mkinode(m4, dirs[m4].meta, true, dirs[m4].nlink, dirs[m4].nsubdirs, dirs[m4].size) ;mkinode(m4, files[m4].meta, false, files[m4].nlink, 0, files[m4].size) ); err := ESUCCESS; asynced := ?⟩ ( afs-cons(dirs, files) → dirs = abs-dirs (fs0[adr1, dentrynode(dentrykey(m9, str), 0)][adr2, dentrynode(dentrykey(m4, str0), m)] [adr3, inodenode(inodekey(m9), md2, true, m1, m3, m14) ] [adr4, inodenode(inodekey(m4), md1, true, m6, m7, m8) ] [adr5, inodenode(inodekey(m0), md0, false, 0, 0, m5) ], (ri0 -- dentrykey(m9, str))[dentrykey(m4, str0), adr2][inodekey(m9), adr3][inodekey(m4), adr4][inodekey(m0), adr5]) ∧ files = abs-files (fs0[adr1, dentrynode(dentrykey(m9, str), 0)][adr2, dentrynode(dentrykey(m4, str0), m)] [adr3, inodenode(inodekey(m9), md2, true, m1, m3, m14) ] [adr4, inodenode(inodekey(m4), md1, true, m6, m7, m8) ] [adr5, inodenode(inodekey(m0), md0, false, 0, 0, m5) ], (ri0 -- dentrykey(m9, str))[dentrykey(m4, str0), adr2][inodekey(m9), adr3][inodekey(m4), adr4][inodekey(m0), adr5]) ∧ orphans (fs0[adr1, dentrynode(dentrykey(m9, str), 0)][adr2, dentrynode(dentrykey(m4, str0), m)] [adr3, inodenode(inodekey(m9), md2, true, m1, m3, m14) ] [adr4, inodenode(inodekey(m4), md1, true, m6, m7, m8) ] [adr5, inodenode(inodekey(m0), md0, false, 0, 0, m5) ], (ri0 -- dentrykey(m9, str))[dentrykey(m4, str0), adr2][inodekey(m9), adr3][inodekey(m4), adr4][inodekey(m0), adr5]) = orphans(fs0, ri0) ++ inodekey(m0) ∧ (asynced → boolvar1) ∧ mkinode(m9, md2, true, m1, m3, m14) = old_inode ∧ mkinode(m4, md1, true, m6, m7, m8) = new_inode ∧ mkinode(m0, md0, false, 0, 0, m5) = new_child_inode ∧ negdentry(str) = old_dent ∧ mkdentry(str0, m) = new_dent ∧ ESUCCESS = err), 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, m4 = 0, m9 = 0, m9 = m4, fs0[ri0[inodekey(m)]].directory, fs0[ri0[inodekey(m0)]].directory, adr5 ∈ (ri0 -- dentrykey(m9, str))[dentrykey(m4, str0), adr2][inodekey(m9), adr3][inodekey(m4), adr4], adr3 ∈ (ri0 -- dentrykey(m9, str))[dentrykey(m4, str0), adr2], adr1 ∈ fs0, adr2 ∈ fs0, adr3 ∈ fs0, adr4 ∈ fs0, adr5 ∈ fs0, adr2 ∈ ri0 -- dentrykey(m9, str), adr4 ∈ (ri0 -- dentrykey(m9, str))[dentrykey(m4, str0), adr2][inodekey(m9), adr3], m6 = 0 ∧ m4 ≠ ROOT_INO, m1 = 0 ∧ m9 ≠ ROOT_INO

Heuristic symbolic execution applied rule skip right

And obtained the following new goals

Rule argument

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