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Proof step 168 from proof refine-write-inode (previous step)

m ≠ 0, 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-cons(ri, fs), ri-inj(fi), ri-inj(ri), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), inodekey(m) ∈ ri, asynced → boolvar1, ∀ adr0. adr0 ∈ fs, fs[ri[inodekey(m)]].directory ∧ m2 = fs[ri[inodekey(m)]].size ∧ m1 = fs[ri[inodekey(m)]].nsubdirs ∧ boolvar0 ∨ ¬ fs[ri[inodekey(m)]].directory ∧ m1 = 0 ∧ ¬ boolvar0, ¬ fs[ri[inodekey(m)]].directory ∧ ¬ boolvar0 ∧ m1 = fs[ri[inodekey(m)]].nsubdirs ∨ fs[ri[inodekey(m)]].directory ∧ boolvar0 ∧ m1 = fs[ri[inodekey(m)]].nsubdirs ∧ m2 = fs[ri[inodekey(m)]].size ⊦ ⟪skip⟫ ⟨dirs := abs-dirs(fs, ri); files := abs-files(fs, ri); afs_write_inode#(mkinode(m, md, boolvar0, fs[ri[inodekey(m)]].nlink, m1, m2); err0, dirs, files; asynced)⟩ (dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ (asynced → boolvar) ∧ ENOSPC = err0)

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Proof step 169:
m1 = fs[ri[inodekey(m)]].nsubdirs, orphans(fs, ri).inodes?, fo.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-cons(ri, fs), ri-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), inodekey(m) ∈ ri, asynced → boolvar1, ∀ adr0. adr0 ∈ fs, ¬ fs[ri[inodekey(m)]].directory ∧ ¬ boolvar0 ∧ m1 = fs[ri[inodekey(m)]].nsubdirs ∨ fs[ri[inodekey(m)]].directory ∧ boolvar0 ∧ m1 = fs[ri[inodekey(m)]].nsubdirs ∧ m2 = fs[ri[inodekey(m)]].size, fs[ri[inodekey(m)]].directory ∧ m2 = fs[ri[inodekey(m)]].size ∧ m1 = fs[ri[inodekey(m)]].nsubdirs ∧ boolvar0 ∨ ¬ fs[ri[inodekey(m)]].directory ∧ m1 = 0 ∧ ¬ boolvar0 ⊦ ⟪skip⟫ ⟨dirs := abs-dirs(fs, ri); files := abs-files(fs, ri); afs_write_inode#(mkinode(m, md, boolvar0, fs[ri[inodekey(m)]].nlink, m1, m2); err0, dirs, files; asynced)⟩ (dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ (asynced → boolvar) ∧ ENOSPC = err0), m = 0

Rule argument

fma: m1 = fs[ri[inodekey(m)]].nsubdirs

Additional information

Used formulas: m1 = fs[ri[inodekey(m)]].nsubdirs