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Proof step 205 from proof inv-truncate (previous step)

# buf-opt.buf = VFS_PAGE_SIZE, VFS_PAGE_SIZE = n0 + m3 % VFS_PAGE_SIZE, fs0[ri0[inodekey(m)]] = inodenode(key, md, false, m0, m1, m2), replay-log(log0, fs0, fi ⊖ fo) = ri0 ⊖ ro, ro.inodes?, fo.inodes?, buf-opt.some?, file-node-cons(fs0, ri0), log-cons(log0, fs0), orphans-cons(fs0, ri0, ro), replay-cons-strong(fs0, ri0, ro, fi, fo, log0), replay-safe(log0, fs0, fi ⊖ fo), ri-inj(ri0), ri-inj(fi), ubifs-cons(fs0, ri0, ro, fi, fo, log0), key0 ∈ ri0, ri0[inodekey(m)] ∈ fs0, inodekey(m) ∈ ri0, m3 ≤ n1, m0 ≠ 0 ∨ m = ROOT_INO ⊦ m3 % VFS_PAGE_SIZE = 0, adr1 = adr2, adr1 = (inodekey(m) = key0 ⊃ adr2;ri0[key0]), adr2 = (inodekey(m) = key0 ⊃ adr2;ri0[key0]), m = 0, key0.data?, key0 ∈ ro, inodekey(m) ∈ ro, adr1 ∈ log0, adr2 ∈ log0, (inodekey(m) = key0 ⊃ adr2;ri0[key0]) ∈ log0, adr1 ∈ fs0, adr2 ∈ fs0, (inodekey(m) = key0 ⊃ adr2;ri0[key0]) ∈ fs0, m0 = 0 ∧ m ≠ ROOT_INO

Heuristic nonsplitting cut applied rule cut formula

And closed the goal!

Rule argument

fma: inodekey(m) = key0

Additional information

Used simplifier rules: ⊦ key ∈ ri ∧ ubifs-cons(fs, ri, ro, fi, fo, log) → ri[key] ∈ fs; (ss) Used formulas: inodekey(m) = key0