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Proof step 44 from proof inv-writepage (previous step)

# buf = VFS_PAGE_SIZE, ro.inodes?, fo.inodes?, file-node-cons(fs0, ri), log-cons(log0, fs0), orphans-cons(fs0, ri, ro), replay-cons-strong(fs0, ri, ro, fi, fo, log0), ri-inj(ri), ri-inj(fi), ubifs-cons(fs0, ri, ro, fi, fo, log0), inodekey(m) ∈ ri, adr ∈ log0 → adr ∈ fs0 ∧ (fs0[adr].inode? → fs0[adr].key.inode? ∧ fs0[adr].key.ino ≠ 0) ∧ (fs0[adr].dentry? → fs0[adr].key.dentry?) ∧ (fs0[adr].data? → fs0[adr].key.data?) ∧ (fs0[adr].trunc? → fs0[adr].key.inode?), adr ∈ log0 ∨ adr = adr1 ⊦ fs0[ri[inodekey(m)]].directory, adr1 ∈ fs0, (adr = adr1 ∨ adr ∈ fs0) ∧ ( (adr1 = adr ⊃ datanode(datakey(m, pageno), buf);fs0[adr]).inode? → (adr1 = adr ⊃ datanode(datakey(m, pageno), buf);fs0[adr]).key.inode? ∧ (adr1 = adr ⊃ datanode(datakey(m, pageno), buf);fs0[adr]).key.ino ≠ 0) ∧ ((adr1 = adr ⊃ datanode(datakey(m, pageno), buf);fs0[adr]).dentry? → (adr1 = adr ⊃ datanode(datakey(m, pageno), buf);fs0[adr]).key.dentry?) ∧ ((adr1 = adr ⊃ datanode(datakey(m, pageno), buf);fs0[adr]).data? → (adr1 = adr ⊃ datanode(datakey(m, pageno), buf);fs0[adr]).key.data?) ∧ ((adr1 = adr ⊃ datanode(datakey(m, pageno), buf);fs0[adr]).trunc? → (adr1 = adr ⊃ datanode(datakey(m, pageno), buf);fs0[adr]).key.inode?)

Heuristic nonsplitting cut applied rule cut formula

And closed the goal!

Rule argument

fma: adr ∈ log0

Additional information

Used simplifier rules: ⊦ ¬ datanode(key, buf).inode?; (s)% ⊦ ¬ datanode(key, buf).dentry?; (s)% ⊦ datanode(key, buf).data?; (s)% ⊦ datanode(key, buf).key = key; (s)% ⊦ datakey(m, m0).data?; (s)% ⊦ ¬ datanode(key, buf).trunc?; (s) Used formulas: adr ∈ log0