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Proof step 27 from proof refine-write-inode (previous step)

dirs = abs-dirs(fs0, ri), files = abs-files(fs0, ri), m ≠ 0, orphans(fs0, ri).inodes?, fo.inodes?, afs-cons(abs-dirs(fs0, ri), abs-files(fs0, ri)), file-node-cons(fs0, ri), log-cons(log0, fs0), orphans-cons(fs0, ri, orphans(fs0, ri)), replay-cons-strong(fs0, ri, orphans(fs0, ri), fi, fo, log0), ri-cons(ri, fs0), ri-inj(ri), ri-inj(fi), ubifs-cons(fs0, ri, orphans(fs0, ri), fi, fo, log0), ¬ adr1 ∈ fs0, fs0[(∅)[inodekey(m)]].nlink = 0 ∧ m ≠ ROOT_INO → inodekey(m) ∈ ri, asynced → boolvar1, inodekey(m) ∈ ri ∧ ¬ fs0[ri[inodekey(m)]].directory ∧ ¬ boolvar0 ∧ m0 = fs0[ri[inodekey(m)]].nlink ∧ m1 = fs0[ri[inodekey(m)]].nsubdirs ∨ inodekey(m) ∈ ri ∧ fs0[ri[inodekey(m)]].directory ∧ boolvar0 ∧ m0 = fs0[ri[inodekey(m)]].nlink ∧ m1 = fs0[ri[inodekey(m)]].nsubdirs ∧ m2 = fs0[ri[inodekey(m)]].size, inodekey(m) ∈ ri ∧ fs0[ri[inodekey(m)]].directory ∧ m0 = fs0[ri[inodekey(m)]].nlink ∧ m2 = fs0[ri[inodekey(m)]].size ∧ m1 = fs0[ri[inodekey(m)]].nsubdirs ∧ boolvar0 ∨ inodekey(m) ∈ ri ∧ ¬ fs0[ri[inodekey(m)]].directory ∧ m0 = fs0[ri[inodekey(m)]].nlink ∧ m1 = 0 ∧ ¬ boolvar0 ⊦ ⟨afs_write_inode#(mkinode(m, md, boolvar0, m0, m1, m2); err0, dirs, files; asynced)⟩ ( afs-cons(dirs, files) → dirs = abs-dirs(fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], ri[inodekey(m), adr1]) ∧ files = abs-files(fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], ri[inodekey(m), adr1]) ∧ orphans(fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], ri[inodekey(m), adr1]) = orphans(fs0, ri) ∧ (asynced → boolvar) ∧ ESUCCESS = err0)

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Proof step 28:
dirs = abs-dirs(fs0, ri), files = abs-files(fs0, ri), fo.inodes?, orphans(fs0, ri).inodes?, afs-cons(abs-dirs(fs0, ri), abs-files(fs0, ri)), file-node-cons(fs0, ri), log-cons(log0, fs0), orphans-cons(fs0, ri, orphans(fs0, ri)), replay-cons-strong(fs0, ri, orphans(fs0, ri), fi, fo, log0), ri-cons(ri, fs0), ri-inj(fi), ri-inj(ri), ubifs-cons(fs0, ri, orphans(fs0, ri), fi, fo, log0), inodekey(m) ∈ ri, asynced → boolvar1, fs0[(∅)[inodekey(m)]].nlink = 0 ∧ m ≠ ROOT_INO → inodekey(m) ∈ ri, inodekey(m) ∈ ri ∧ fs0[ri[inodekey(m)]].directory ∧ m0 = fs0[ri[inodekey(m)]].nlink ∧ m2 = fs0[ri[inodekey(m)]].size ∧ m1 = fs0[ri[inodekey(m)]].nsubdirs ∧ boolvar0 ∨ inodekey(m) ∈ ri ∧ ¬ fs0[ri[inodekey(m)]].directory ∧ m0 = fs0[ri[inodekey(m)]].nlink ∧ m1 = 0 ∧ ¬ boolvar0, inodekey(m) ∈ ri ∧ ¬ fs0[ri[inodekey(m)]].directory ∧ ¬ boolvar0 ∧ m0 = fs0[ri[inodekey(m)]].nlink ∧ m1 = fs0[ri[inodekey(m)]].nsubdirs ∨ inodekey(m) ∈ ri ∧ fs0[ri[inodekey(m)]].directory ∧ boolvar0 ∧ m0 = fs0[ri[inodekey(m)]].nlink ∧ m1 = fs0[ri[inodekey(m)]].nsubdirs ∧ m2 = fs0[ri[inodekey(m)]].size ⊦ ⟨afs_write_inode#(mkinode(m, md, boolvar0, m0, m1, m2); err0, dirs, files; asynced)⟩ ( afs-cons(dirs, files) → dirs = abs-dirs(fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], ri[inodekey(m), adr1]) ∧ files = abs-files(fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], ri[inodekey(m), adr1]) ∧ orphans(fs0[adr1, inodenode(inodekey(m), md, boolvar0, m0, m1, m2)], ri[inodekey(m), adr1]) = orphans(fs0, ri) ∧ (asynced → boolvar) ∧ ESUCCESS = err0), m = 0, adr1 ∈ fs0

Rule argument

fma: inodekey(m) ∈ ri

Additional information

Used formulas: inodekey(m) ∈ ri