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Proof step 493 from proof inv-truncate (previous step)

fs0[ri0[datakey(m0, m4 / VFS_PAGE_SIZE)]].data:= fill(fs0[ri0[datakey(m0, m4 / VFS_PAGE_SIZE)]].data, zero, m4 % VFS_PAGE_SIZE, n0) = datanode(datakey(m0, m4 / VFS_PAGE_SIZE), buf), fs0[ri0[inodekey(m0)]].nlink = 0 ∧ m0 ≠ ROOT_INO ↔ inodekey(m0) ∈ ro, VFS_PAGE_SIZE = n0 + m4 % VFS_PAGE_SIZE, fs0[ri0[datakey(m0, m4 / VFS_PAGE_SIZE)]].data?, fs0[ri0[inodekey(m0)]].inode?, fo.inodes?, ro.inodes?, file-node-cons(fs0, ri0), log-cons(log0, fs0), orphans-cons(fs0, ri0, ro), replay-cons-strong(fs0, ri0, ro, fi, fo, log0), ri-cons(ri0, fs0), ri-inj(fi), ri-inj(ri0), ubifs-cons(fs0, ri0, ro, fi, fo, log0), ri0[datakey(m0, m4 / VFS_PAGE_SIZE)] ∈ fs0, datakey(m0, m4 / VFS_PAGE_SIZE) ∈ ri0, ri0[inodekey(m0)] ∈ fs0, inodekey(m0) ∈ ri0, inodekey(ino) ∈ ri0, m4 ≤ n1, ¬ fs0[ri0[inodekey(ino)]].directory → fs0[ri0[inodekey(ino)]].nsubdirs = 0 ⊦ m4 % VFS_PAGE_SIZE = 0, (adr2 = ri0[inodekey(ino)] ⊃ inodenode(inodekey(m0), md0, false, fs0[ri0[inodekey(m0)]].nlink, fs0[ri0[inodekey(m0)]].nsubdirs, n1) ;(adr1 = ri0[inodekey(ino)] ⊃ truncnode(inodekey(m0), m4);fs0[ri0[inodekey(ino)]]) ) .nsubdirs = 0, adr1 = adr2, adr1 = adr3, adr2 = adr3, adr3 = ri0[inodekey(ino)], m0 = ino, m0 = 0, fs0[ri0[inodekey(m0)]].directory, (adr2 = ri0[inodekey(ino)] ⊃ inodenode(inodekey(m0), md0, false, fs0[ri0[inodekey(m0)]].nlink, fs0[ri0[inodekey(m0)]].nsubdirs, n1) ;(adr1 = ri0[inodekey(ino)] ⊃ truncnode(inodekey(m0), m4);fs0[ri0[inodekey(ino)]]) ) .directory, buf-opt.some?, adr3 ∈ ri0, adr3 ∈ fs0, adr2 ∈ fs0, adr1 ∈ fs0

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Proof step 494:
fs0[ri0[datakey(m0, m4 / VFS_PAGE_SIZE)]].data:= fill(fs0[ri0[datakey(m0, m4 / VFS_PAGE_SIZE)]].data, zero, m4 % VFS_PAGE_SIZE, n0) = datanode(datakey(m0, m4 / VFS_PAGE_SIZE), buf), fs0[ri0[inodekey(m0)]].nlink = 0 ∧ m0 ≠ ROOT_INO ↔ inodekey(m0) ∈ ro, VFS_PAGE_SIZE = n0 + m4 % VFS_PAGE_SIZE, fs0[ri0[datakey(m0, m4 / VFS_PAGE_SIZE)]].data?, fs0[ri0[inodekey(m0)]].inode?, ro.inodes?, fo.inodes?, file-node-cons(fs0, ri0), log-cons(log0, fs0), orphans-cons(fs0, ri0, ro), replay-cons-strong(fs0, ri0, ro, fi, fo, log0), ri-cons(ri0, fs0), ri-inj(ri0), ri-inj(fi), ubifs-cons(fs0, ri0, ro, fi, fo, log0), inodekey(ino) ∈ ri0, inodekey(m0) ∈ ri0, ri0[inodekey(m0)] ∈ fs0, datakey(m0, m4 / VFS_PAGE_SIZE) ∈ ri0, ri0[datakey(m0, m4 / VFS_PAGE_SIZE)] ∈ fs0, m4 ≤ n1, ¬ fs0[ri0[inodekey(ino)]].directory → fs0[ri0[inodekey(ino)]].nsubdirs = 0 ⊦ m4 % VFS_PAGE_SIZE = 0, (adr2 = ri0[inodekey(ino)] ⊃ inodenode(inodekey(m0), md0, false, fs0[ri0[inodekey(m0)]].nlink, fs0[ri0[inodekey(m0)]].nsubdirs, n1) ;(adr1 = ri0[inodekey(ino)] ⊃ truncnode(inodekey(m0), m4);fs0[ri0[inodekey(ino)]]) ) .nsubdirs = 0, adr1 = adr3, adr1 = adr2, adr2 = adr3, adr2 = ri0[inodekey(ino)], adr3 = ri0[inodekey(ino)], m0 = 0, m0 = ino, (adr2 = ri0[inodekey(ino)] ⊃ inodenode(inodekey(m0), md0, false, fs0[ri0[inodekey(m0)]].nlink, fs0[ri0[inodekey(m0)]].nsubdirs, n1) ;(adr1 = ri0[inodekey(ino)] ⊃ truncnode(inodekey(m0), m4);fs0[ri0[inodekey(ino)]]) ) .directory, fs0[ri0[inodekey(m0)]].directory, buf-opt.some?, adr1 ∈ fs0, adr2 ∈ fs0, adr3 ∈ fs0, adr3 ∈ ri0

Rule argument

fma: adr2 = ri0[inodekey(ino)]

Additional information

Used simplifier rules: ⊦ inodenode(key, md, boolvar, m, m0, m1).nsubdirs = m0; (s)% ⊦ key ∈ ri ∧ ri-cons(ri, fs) → ri[key] ∈ fs; (ss) Used formulas: adr2 = ri0[inodekey(ino)]