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Proof step 140 from proof refine-unlink (previous step)

1 = fs0[ri0[inodekey(m1)]].nlink, 0 = fs0[ri0[inodekey(m1)]].nsubdirs, fs0[ri0[dentrykey(m, str)]] = dentrynode(key, m1), fs0[ri0[inodekey(m)]] = inodenode(key0, md1, true, m2, m3, m0 + 1), links(m1, fs0, ri0) = ∅ ++ dentrykey(m, str), p_ino = m, fo.inodes?, orphans(fs0, ri0).inodes?, afs-cons(abs-dirs(fs0, ri0), abs-files(fs0, ri0)), file-node-cons (fs0[adr1, inodenode(inodekey(m), md, true, m2, m3, m0)][adr2, dentrynode(dentrykey(m, str), 0)][adr3, inodenode(inodekey(m1), md0, false, 0, 0, m6)], (ri0[inodekey(m), adr1] -- dentrykey(m, str))[inodekey(m1), adr3]), file-node-cons(fs0, ri0), log-cons (log0, fs0[adr1, inodenode(inodekey(m), md, true, m2, m3, m0)][adr2, dentrynode(dentrykey(m, str), 0)][adr3, inodenode(inodekey(m1), md0, false, 0, 0, m6)]), log-cons(log0, fs0), orphans-cons (fs0[adr1, inodenode(inodekey(m), md, true, m2, m3, m0)][adr2, dentrynode(dentrykey(m, str), 0)][adr3, inodenode(inodekey(m1), md0, false, 0, 0, m6)], (ri0[inodekey(m), adr1] -- dentrykey(m, str))[inodekey(m1), adr3], orphans(fs0, ri0) ++ inodekey(m1)), orphans-cons(fs0, ri0, orphans(fs0, ri0)), replay-cons-strong (fs0[adr1, inodenode(inodekey(m), md, true, m2, m3, m0)][adr2, dentrynode(dentrykey(m, str), 0)][adr3, inodenode(inodekey(m1), md0, false, 0, 0, m6)], (ri0[inodekey(m), adr1] -- dentrykey(m, str))[inodekey(m1), adr3], orphans(fs0, ri0) ++ inodekey(m1), fi, fo, ((log0 + adr1 ') + adr2 ') + adr3 '), replay-cons-strong(fs0, ri0, orphans(fs0, ri0), fi, fo, log0), ri-cons(ri0, fs0), ri-inj((ri0[inodekey(m), adr1] -- dentrykey(m, str))[inodekey(m1), adr3]), ri-inj(fi), ri-inj(ri0), ubifs-cons (fs0[adr1, inodenode(inodekey(m), md, true, m2, m3, m0)][adr2, dentrynode(dentrykey(m, str), 0)][adr3, inodenode(inodekey(m1), md0, false, 0, 0, m6)], (ri0[inodekey(m), adr1] -- dentrykey(m, str))[inodekey(m1), adr3], orphans(fs0, ri0) ++ inodekey(m1), fi, fo, ((log0 + adr1 ') + adr2 ') + adr3 '), ubifs-cons(fs0, ri0, orphans(fs0, ri0), fi, fo, log0), dentrykey(m, str) ∈ ri0, ri0[dentrykey(m, str)] ∈ fs0, inodekey(m1) ∈ ri0, ri0[inodekey(m)] ∈ fs0, inodekey(m) ∈ ri0, asynced → boolvar0, links(m, abs-dirs(fs0, ri0)) ≠ ∅ ∨ m = ROOT_INO, m2 ≠ 0 ∨ m = ROOT_INO ⊦ ⟨dirs := abs-dirs(fs0, ri0)[p_ino, abs-dirs(fs0, ri0)[p_ino].entries:= (abs-dirs(fs0, ri0)[p_ino].entries -- str)] [p_ino, abs-dirs(fs0, ri0)[p_ino, abs-dirs(fs0, ri0)[p_ino].entries:= (abs-dirs(fs0, ri0)[p_ino].entries -- str)][p_ino] .size:= (abs-dirs(fs0, ri0)[p_ino, abs-dirs(fs0, ri0)[p_ino].entries:= (abs-dirs(fs0, ri0)[p_ino].entries -- str)][p_ino].size - 1) ]; let ino = mkdentry(str, m1).ino in {files := abs-files(fs0, ri0); afs_drop_nlink#(ino; dirs, files)}; dent := negdentry(str); afs_inode_sync#(mkinode(m, md, true, m2, m3, m0 + 1); dirs, files); afs_inode_sync#(mkinode(m1, md0, false, 1, 0, m6); dirs, files); p_inode := (m ∈ dirs ⊃ mkinode(m, dirs[m].meta, true, dirs[m].nlink, dirs[m].nsubdirs, dirs[m].size) ;mkinode(m, files[m].meta, false, files[m].nlink, 0, files[m].size) ); c_inode := (m1 ∈ dirs ⊃ mkinode(m1, dirs[m1].meta, true, dirs[m1].nlink, dirs[m1].nsubdirs, dirs[m1].size) ;mkinode(m1, files[m1].meta, false, files[m1].nlink, 0, files[m1].size) ); err := ESUCCESS; asynced := ?⟩ ( afs-cons(dirs, files) → dirs = abs-dirs (fs0[adr1, inodenode(inodekey(m), md, true, m2, m3, m0)][adr2, dentrynode(dentrykey(m, str), 0)] [adr3, inodenode(inodekey(m1), md0, false, 0, 0, m6) ], (ri0[inodekey(m), adr1] -- dentrykey(m, str))[inodekey(m1), adr3]) ∧ files = abs-files (fs0[adr1, inodenode(inodekey(m), md, true, m2, m3, m0)][adr2, dentrynode(dentrykey(m, str), 0)] [adr3, inodenode(inodekey(m1), md0, false, 0, 0, m6) ], (ri0[inodekey(m), adr1] -- dentrykey(m, str))[inodekey(m1), adr3]) ∧ orphans (fs0[adr1, inodenode(inodekey(m), md, true, m2, m3, m0)][adr2, dentrynode(dentrykey(m, str), 0)] [adr3, inodenode(inodekey(m1), md0, false, 0, 0, m6) ], (ri0[inodekey(m), adr1] -- dentrykey(m, str))[inodekey(m1), adr3]) = orphans(fs0, ri0) ++ inodekey(m1) ∧ (asynced → boolvar) ∧ mkinode(m, md, true, m2, m3, m0) = p_inode ∧ mkinode(m1, md0, false, 0, 0, m6) = c_inode ∧ negdentry(str) = dent ∧ ESUCCESS = err), adr1 = adr3, adr1 = adr2, adr2 = adr3, m = 0, m1 = 0, m1 = ROOT_INO, fs0[ri0[inodekey(m1)]].directory, adr1 ∈ fs0, adr2 ∈ fs0, adr3 ∈ fs0

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

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