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

fs0[ri0[dentrykey(ino1, str)]].ino = m4, fs0[ri0[dentrykey(ino2, str)]] = dentrynode(key3, m4), fs0[ri0[inodekey(m4)]] = inodenode(key1, md2, false, m3, 0, m5), fs0[ri0[dentrykey(ino4, str)]] = dentrynode(key, m4), fs0[ri0[inodekey(m)]] = inodenode(key0, md1, true, m0, m1, m2), fs0[ri0[dentrykey(ino0, str)]] = dentrynode(key2, m4), fs0[ri0[dentrykey(ino3, str)]] = dentrynode(key4, m4), fs0[ri0[dentrykey(ino3, str)]].dentry?, fs0[ri0[inodekey(ino2)]].directory, fs0[ri0[inodekey(ino0)]].directory, fs0[ri0[inodekey(ino1)]].directory, fs0[ri0[inodekey(ino4)]].directory, fs0[ri0[inodekey(ino3)]].directory, fo.inodes?, orphans(fs0, ri0).inodes?, afs-cons(abs-dirs(fs0, ri0), abs-files(fs0, ri0)), afs-cons (abs-dirs(fs0, ri0)[m, mkdir(m2 + 1, md, m0, m1, abs-children(m, fs0, ri0)[str0, m4])], abs-files(fs0, ri0)[m4, mkfile(m6, md0, m3 + 1, abs-content(m4, fs0, ri0))]), file-node-cons (fs0[adr1, inodenode(inodekey(m), md, true, m0, m1, m2 + 1)][adr2, dentrynode(dentrykey(m, str0), m4)] [adr3, inodenode(inodekey(m4), md0, false, m3 + 1, 0, m6) ], ri0[inodekey(m), adr1][dentrykey(m, str0), adr2][inodekey(m4), adr3]), file-node-cons(fs0, ri0), log-cons (log0, fs0[adr1, inodenode(inodekey(m), md, true, m0, m1, m2 + 1)][adr2, dentrynode(dentrykey(m, str0), m4)] [adr3, inodenode(inodekey(m4), md0, false, m3 + 1, 0, m6) ]), log-cons(log0, fs0), orphans-cons (fs0[adr1, inodenode(inodekey(m), md, true, m0, m1, m2 + 1)][adr2, dentrynode(dentrykey(m, str0), m4)] [adr3, inodenode(inodekey(m4), md0, false, m3 + 1, 0, m6) ], ri0[inodekey(m), adr1][dentrykey(m, str0), adr2][inodekey(m4), adr3], orphans(fs0, ri0)), orphans-cons(fs0, ri0, orphans(fs0, ri0)), replay-cons-strong (fs0[adr1, inodenode(inodekey(m), md, true, m0, m1, m2 + 1)][adr2, dentrynode(dentrykey(m, str0), m4)] [adr3, inodenode(inodekey(m4), md0, false, m3 + 1, 0, m6) ], ri0[inodekey(m), adr1][dentrykey(m, str0), adr2][inodekey(m4), adr3], orphans(fs0, ri0), 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, str0), adr2][inodekey(m4), adr3]), ri-inj(fi), ri-inj(ri0), ubifs-cons (fs0[adr1, inodenode(inodekey(m), md, true, m0, m1, m2 + 1)][adr2, dentrynode(dentrykey(m, str0), m4)] [adr3, inodenode(inodekey(m4), md0, false, m3 + 1, 0, m6) ], ri0[inodekey(m), adr1][dentrykey(m, str0), adr2][inodekey(m4), adr3], orphans(fs0, ri0), fi, fo, ((log0 + adr1 ') + adr2 ') + adr3 '), ubifs-cons(fs0, ri0, orphans(fs0, ri0), fi, fo, log0), inodekey(ino0) ∈ ri0, dentrykey(ino0, str) ∈ ri0, ri0[dentrykey(ino0, str)] ∈ fs0, dentrykey(ino2, str) ∈ ri0, inodekey(ino2) ∈ ri0, dentrykey(ino4, str) ∈ ri0, ri0[dentrykey(ino4, str)] ∈ fs0, inodekey(m4) ∈ ri0, ri0[inodekey(m4)] ∈ fs0, dentrykey(ino1, str) ∈ ri0, inodekey(ino1) ∈ ri0, ri0[inodekey(m)] ∈ fs0, inodekey(m) ∈ ri0, inodekey(ino3) ∈ ri0, dentrykey(ino3, str) ∈ ri0, inodekey(ino4) ∈ ri0, ri0[dentrykey(ino2, str)] ∈ fs0, ri0[dentrykey(ino3, str)] ∈ fs0, asynced0 → boolvar0, links(ino2, abs-dirs(fs0, ri0)) ≠ ∅ ∨ ino2 = ROOT_INO, m3 ≠ 0 ∨ m4 = ROOT_INO, fs0[ri0[inodekey(ino0)]].nlink ≠ 0 ∨ ino0 = ROOT_INO, fs0[ri0[inodekey(ino1)]].nlink ≠ 0 ∨ ino1 = ROOT_INO, m0 ≠ 0 ∨ m = ROOT_INO, links(ino4, abs-dirs(fs0, ri0)) ≠ ∅ ∨ ino4 = ROOT_INO, links(m, abs-dirs(fs0, ri0)) ≠ ∅ ∨ m = ROOT_INO, links(m4, abs-dirs(fs0, ri0)) ≠ ∅ ∨ m4 = ROOT_INO, links(ino3, abs-dirs(fs0, ri0)) ≠ ∅ ∨ ino3 = ROOT_INO ⊦ adr1 = adr2, adr1 = adr3, adr2 = adr3, m = 0, m4 = 0, adr3 ∈ fs0, adr2 ∈ fs0, adr1 ∈ fs0, dentrykey(m, str0) ∈ ri0, abs-dirs(fs0, ri0)[m, mkdir(m2 + 1, md, m0, m1, abs-children(m, fs0, ri0)[str0, m4])] = abs-dirs (fs0[adr1, inodenode(inodekey(m), md, true, m0, m1, m2 + 1)][adr2, dentrynode(dentrykey(m, str0), m4)] [adr3, inodenode(inodekey(m4), md0, false, m3 + 1, 0, m6) ], ri0[inodekey(m), adr1][dentrykey(m, str0), adr2][inodekey(m4), adr3]) ∧ abs-files(fs0, ri0)[m4, mkfile(m6, md0, m3 + 1, abs-content(m4, fs0, ri0))] = abs-files (fs0[adr1, inodenode(inodekey(m), md, true, m0, m1, m2 + 1)][adr2, dentrynode(dentrykey(m, str0), m4)] [adr3, inodenode(inodekey(m4), md0, false, m3 + 1, 0, m6) ], ri0[inodekey(m), adr1][dentrykey(m, str0), adr2][inodekey(m4), adr3]) ∧ orphans (fs0[adr1, inodenode(inodekey(m), md, true, m0, m1, m2 + 1)][adr2, dentrynode(dentrykey(m, str0), m4)] [adr3, inodenode(inodekey(m4), md0, false, m3 + 1, 0, m6) ], ri0[inodekey(m), adr1][dentrykey(m, str0), adr2][inodekey(m4), adr3]) = orphans(fs0, ri0), m3 = 0 ∧ m4 ≠ ROOT_INO, m0 = 0 ∧ m ≠ ROOT_INO, fs0[ri0[inodekey(ino1)]].nlink = 0 ∧ ino1 ≠ ROOT_INO

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 141:
fs0[ri0[dentrykey(ino2, str)]] = dentrynode(key3, fs0[ri0[dentrykey(ino1, str)]].ino), fs0[ri0[inodekey(fs0[ri0[dentrykey(ino1, str)]].ino)]] = inodenode(key1, md2, false, m3, 0, m5), fs0[ri0[dentrykey(ino4, str)]] = dentrynode(key, fs0[ri0[dentrykey(ino1, str)]].ino), fs0[ri0[inodekey(m)]] = inodenode(key0, md1, true, m0, m1, m2), fs0[ri0[dentrykey(ino0, str)]] = dentrynode(key2, fs0[ri0[dentrykey(ino1, str)]].ino), fs0[ri0[dentrykey(ino3, str)]] = dentrynode(key4, fs0[ri0[dentrykey(ino1, str)]].ino), fs0[ri0[inodekey(ino2)]].directory, fs0[ri0[inodekey(ino0)]].directory, fs0[ri0[inodekey(ino1)]].directory, fs0[ri0[inodekey(ino4)]].directory, fs0[ri0[inodekey(ino3)]].directory, fo.inodes?, orphans(fs0, ri0).inodes?, afs-cons(abs-dirs(fs0, ri0), abs-files(fs0, ri0)), afs-cons (abs-dirs(fs0, ri0)[m, mkdir(m2 + 1, md, m0, m1, abs-children(m, fs0, ri0)[str0, fs0[ri0[dentrykey(ino1, str)]].ino])], abs-files(fs0, ri0)[fs0[ri0[dentrykey(ino1, str)]].ino, mkfile(m6, md0, m3 + 1, abs-content(fs0[ri0[dentrykey(ino1, str)]].ino, fs0, ri0))]), file-node-cons (fs0[adr1, inodenode(inodekey(m), md, true, m0, m1, m2 + 1)][adr2, dentrynode(dentrykey(m, str0), fs0[ri0[dentrykey(ino1, str)]].ino)] [adr3, inodenode(inodekey(fs0[ri0[dentrykey(ino1, str)]].ino), md0, false, m3 + 1, 0, m6) ], ri0[inodekey(m), adr1][dentrykey(m, str0), adr2][inodekey(fs0[ri0[dentrykey(ino1, str)]].ino), adr3]), file-node-cons(fs0, ri0), log-cons (log0, fs0[adr1, inodenode(inodekey(m), md, true, m0, m1, m2 + 1)][adr2, dentrynode(dentrykey(m, str0), fs0[ri0[dentrykey(ino1, str)]].ino)] [adr3, inodenode(inodekey(fs0[ri0[dentrykey(ino1, str)]].ino), md0, false, m3 + 1, 0, m6) ]), log-cons(log0, fs0), orphans-cons (fs0[adr1, inodenode(inodekey(m), md, true, m0, m1, m2 + 1)][adr2, dentrynode(dentrykey(m, str0), fs0[ri0[dentrykey(ino1, str)]].ino)] [adr3, inodenode(inodekey(fs0[ri0[dentrykey(ino1, str)]].ino), md0, false, m3 + 1, 0, m6) ], ri0[inodekey(m), adr1][dentrykey(m, str0), adr2][inodekey(fs0[ri0[dentrykey(ino1, str)]].ino), adr3], orphans(fs0, ri0)), orphans-cons(fs0, ri0, orphans(fs0, ri0)), replay-cons-strong (fs0[adr1, inodenode(inodekey(m), md, true, m0, m1, m2 + 1)][adr2, dentrynode(dentrykey(m, str0), fs0[ri0[dentrykey(ino1, str)]].ino)] [adr3, inodenode(inodekey(fs0[ri0[dentrykey(ino1, str)]].ino), md0, false, m3 + 1, 0, m6) ], ri0[inodekey(m), adr1][dentrykey(m, str0), adr2][inodekey(fs0[ri0[dentrykey(ino1, str)]].ino), adr3], orphans(fs0, ri0), 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, str0), adr2][inodekey(fs0[ri0[dentrykey(ino1, str)]].ino), adr3]), ri-inj(fi), ri-inj(ri0), ubifs-cons (fs0[adr1, inodenode(inodekey(m), md, true, m0, m1, m2 + 1)][adr2, dentrynode(dentrykey(m, str0), fs0[ri0[dentrykey(ino1, str)]].ino)] [adr3, inodenode(inodekey(fs0[ri0[dentrykey(ino1, str)]].ino), md0, false, m3 + 1, 0, m6) ], ri0[inodekey(m), adr1][dentrykey(m, str0), adr2][inodekey(fs0[ri0[dentrykey(ino1, str)]].ino), adr3], orphans(fs0, ri0), fi, fo, ((log0 + adr1 ') + adr2 ') + adr3 '), ubifs-cons(fs0, ri0, orphans(fs0, ri0), fi, fo, log0), inodekey(ino0) ∈ ri0, dentrykey(ino0, str) ∈ ri0, ri0[dentrykey(ino0, str)] ∈ fs0, dentrykey(ino2, str) ∈ ri0, inodekey(ino2) ∈ ri0, dentrykey(ino4, str) ∈ ri0, ri0[dentrykey(ino4, str)] ∈ fs0, inodekey(fs0[ri0[dentrykey(ino1, str)]].ino) ∈ ri0, ri0[inodekey(fs0[ri0[dentrykey(ino1, str)]].ino)] ∈ fs0, dentrykey(ino1, str) ∈ ri0, inodekey(ino1) ∈ ri0, ri0[inodekey(m)] ∈ fs0, inodekey(m) ∈ ri0, inodekey(ino3) ∈ ri0, dentrykey(ino3, str) ∈ ri0, inodekey(ino4) ∈ ri0, ri0[dentrykey(ino2, str)] ∈ fs0, ri0[dentrykey(ino3, str)] ∈ fs0, asynced0 → boolvar0, links(ino2, abs-dirs(fs0, ri0)) ≠ ∅ ∨ ino2 = ROOT_INO, m3 ≠ 0 ∨ fs0[ri0[dentrykey(ino1, str)]].ino = ROOT_INO, fs0[ri0[inodekey(ino0)]].nlink ≠ 0 ∨ ino0 = ROOT_INO, fs0[ri0[inodekey(ino1)]].nlink ≠ 0 ∨ ino1 = ROOT_INO, m0 ≠ 0 ∨ m = ROOT_INO, links(ino4, abs-dirs(fs0, ri0)) ≠ ∅ ∨ ino4 = ROOT_INO, links(m, abs-dirs(fs0, ri0)) ≠ ∅ ∨ m = ROOT_INO, links(fs0[ri0[dentrykey(ino1, str)]].ino, abs-dirs(fs0, ri0)) ≠ ∅ ∨ fs0[ri0[dentrykey(ino1, str)]].ino = ROOT_INO, links(ino3, abs-dirs(fs0, ri0)) ≠ ∅ ∨ ino3 = ROOT_INO ⊦ fs0[ri0[dentrykey(ino1, str)]].ino = 0, adr1 = adr2, adr1 = adr3, adr2 = adr3, m = 0, adr3 ∈ fs0, adr2 ∈ fs0, adr1 ∈ fs0, dentrykey(m, str0) ∈ ri0, abs-dirs(fs0, ri0)[m, mkdir(m2 + 1, md, m0, m1, abs-children(m, fs0, ri0)[str0, fs0[ri0[dentrykey(ino1, str)]].ino])] = abs-dirs (fs0[adr1, inodenode(inodekey(m), md, true, m0, m1, m2 + 1)][adr2, dentrynode(dentrykey(m, str0), fs0[ri0[dentrykey(ino1, str)]].ino)] [adr3, inodenode(inodekey(fs0[ri0[dentrykey(ino1, str)]].ino), md0, false, m3 + 1, 0, m6) ], ri0[inodekey(m), adr1][dentrykey(m, str0), adr2][inodekey(fs0[ri0[dentrykey(ino1, str)]].ino), adr3]) ∧ abs-files(fs0, ri0)[fs0[ri0[dentrykey(ino1, str)]].ino, mkfile(m6, md0, m3 + 1, abs-content(fs0[ri0[dentrykey(ino1, str)]].ino, fs0, ri0))] = abs-files (fs0[adr1, inodenode(inodekey(m), md, true, m0, m1, m2 + 1)][adr2, dentrynode(dentrykey(m, str0), fs0[ri0[dentrykey(ino1, str)]].ino)] [adr3, inodenode(inodekey(fs0[ri0[dentrykey(ino1, str)]].ino), md0, false, m3 + 1, 0, m6) ], ri0[inodekey(m), adr1][dentrykey(m, str0), adr2][inodekey(fs0[ri0[dentrykey(ino1, str)]].ino), adr3]) ∧ orphans (fs0[adr1, inodenode(inodekey(m), md, true, m0, m1, m2 + 1)][adr2, dentrynode(dentrykey(m, str0), fs0[ri0[dentrykey(ino1, str)]].ino)] [adr3, inodenode(inodekey(fs0[ri0[dentrykey(ino1, str)]].ino), md0, false, m3 + 1, 0, m6) ], ri0[inodekey(m), adr1][dentrykey(m, str0), adr2][inodekey(fs0[ri0[dentrykey(ino1, str)]].ino), adr3]) = orphans(fs0, ri0), m3 = 0 ∧ fs0[ri0[dentrykey(ino1, str)]].ino ≠ ROOT_INO, m0 = 0 ∧ m ≠ ROOT_INO, fs0[ri0[inodekey(ino1)]].nlink = 0 ∧ ino1 ≠ ROOT_INO

Rule argument

Additional information

Used simplifier rules: ⊦ dentrynode(key, m).dentry?; (s)