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Proof step 511 from proof refine-rename-new-reparent (previous step)

m11 + 1 = fs[ri[inodekey(m3)]].size, n0 + (boolvar1 ⊃ 1;0) = fs[ri[inodekey(m3)]].nsubdirs, fs[ri[inodekey(m7)]].directory, fs[ri[inodekey(m3)]].directory, 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), orphans-cons(fs, ri, orphans(fs, ri)), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), ri-inj(fi), ri-inj(ri), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), inodekey(m7) ∈ ri, dentrykey(m3, str) ∈ ri, inodekey(fs[ri[dentrykey(m3, str)]].ino) ∈ ri, inodekey(m3) ∈ ri, boolvar3 → boolvar0, ∀ adr, adr0, adr1, adr2. adr ∈ fs ∨ adr0 ∈ fs ∨ adr1 ∈ fs ∨ adr2 ∈ fs ∨ adr = adr0 ∨ adr = adr1 ∨ adr = adr2 ∨ adr0 = adr1 ∨ adr0 = adr2 ∨ adr1 = adr2, fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].directory ∧ m0 = fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].nlink ∧ m2 = fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].size ∧ m1 = fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].nsubdirs ∧ boolvar1 ∨ ¬ fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].directory ∧ m0 = fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].nlink ∧ m1 = 0 ∧ ¬ boolvar1, ¬ fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].directory ∧ ¬ boolvar1 ∧ m0 = fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].nlink ∧ m1 = fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].nsubdirs ∨ fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].directory ∧ boolvar1 ∧ m0 = fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].nlink ∧ m1 = fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].nsubdirs ∧ m2 = fs[ri[inodekey(fs[ri[dentrykey(m3, str)]].ino)]].size, links(m7, abs-dirs(fs, ri)) ≠ ∅ ∨ m7 = ROOT_INO, links(m3, abs-dirs(fs, ri)) ≠ ∅ ∨ m3 = ROOT_INO, fs[ri[inodekey(m7)]].nlink ≠ 0 ∨ m7 = ROOT_INO, fs[ri[inodekey(m3)]].nlink ≠ 0 ∨ m3 = ROOT_INO ⊦ ∃ err0. ⌊err0⌋ ∧ ⟨err := err0; asynced := ?⟩ ((asynced → boolvar2) ∧ ENOSPC = err), ⟨let old_ino = mkinode(m3, md0, true, fs[ri[inodekey(m3)]].nlink, n0 + (boolvar1 ⊃ 1;0), m11 + 1).ino, new_ino = mkinode(m7, md1, true, fs[ri[inodekey(m7)]].nlink, fs[ri[inodekey(m7)]].nsubdirs, fs[ri[inodekey(m7)]].size).ino, boolvar0 = false in let boolvar = false in {dirs := abs-dirs(fs, ri) [old_ino, abs-dirs(fs, ri)[old_ino].entries:= (abs-dirs(fs, ri)[old_ino].entries -- mkdentry(str, fs[ri[dentrykey(m3, str)]].ino).name) ]; old_dent := mkdentry(str, fs[ri[dentrykey(m3, str)]].ino); if ¬ boolvar then {dirs[old_ino].size := dirs[old_ino].size - 1; if old_dent.ino ∈ dirs then dirs[old_ino].nsubdirs := dirs[old_ino].nsubdirs - 1}; dirs[new_ino].entries[str0] := old_dent.ino; new_dent := negdentry(str0); files := abs-files(fs, ri); if boolvar0 ∧ ¬ boolvar then let ino = new_dent.ino in afs_drop_nlink#(ino; dirs, files); if ¬ boolvar0 then {dirs[new_ino].size := dirs[new_ino].size + 1; if old_dent.ino ∈ dirs then dirs[new_ino].nsubdirs := dirs[new_ino].nsubdirs + 1}; new_dent := mkdentry(new_dent.name, old_dent.ino); old_dent := negdentry(old_dent.name); afs_inode_sync#(mkinode(m3, md0, true, fs[ri[inodekey(m3)]].nlink, n0 + (boolvar1 ⊃ 1;0), m11 + 1); dirs, files); afs_inode_sync# (mkinode(m7, md1, true, fs[ri[inodekey(m7)]].nlink, fs[ri[inodekey(m7)]].nsubdirs, fs[ri[inodekey(m7)]].size); dirs, files); new_child_inode := new_dent_inode; 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 := getinode(mkinode(m3, md0, true, fs[ri[inodekey(m3)]].nlink, n0 + (boolvar1 ⊃ 1;0), m11 + 1).ino, dirs, files); new_inode := getinode(mkinode(m7, md1, true, fs[ri[inodekey(m7)]].nlink, fs[ri[inodekey(m7)]].nsubdirs, fs[ri[inodekey(m7)]].size).ino, dirs, files); err := ESUCCESS}; asynced := ?⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ (asynced → boolvar2) ∧ mkinode(m3, md0, true, fs[ri[inodekey(m3)]].nlink, n0 + (boolvar1 ⊃ 1;0), m11 + 1) = old_inode ∧ mkinode(m7, md1, true, fs[ri[inodekey(m7)]].nlink, fs[ri[inodekey(m7)]].nsubdirs, fs[ri[inodekey(m7)]].size) = new_inode ∧ new_dent_inode = new_child_inode ∧ mkdentry(str, fs[ri[dentrykey(m3, str)]].ino) = old_dent ∧ negdentry(str0) = new_dent ∧ ENOSPC = err), m3 = m7, dentrykey(m7, str0) ∈ ri, fs[ri[inodekey(m3)]].nlink = 0 ∧ m3 ≠ ROOT_INO, fs[ri[inodekey(m7)]].nlink = 0 ∧ m7 ≠ ROOT_INO

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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