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Proof step 71 from proof inv-write-inode (previous step)

fs0[ri[inodekey(m)]].nlink = 0 ∧ m ≠ ROOT_INO ↔ inodekey(m) ∈ ro, fs0[ri[inodekey(m)]].inode?, fo.inodes?, ro.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(fi), ri-inj(ri), ubifs-cons(fs0, ri, ro, fi, fo, log0), ri[inodekey(m)] ∈ fs0, inodekey(m) ∈ ri, inodekey(ino) ∈ ri, ¬ fs0[ri[inodekey(ino)]].directory → fs0[ri[inodekey(ino)]].nsubdirs = 0, ¬ fs0[ri[inodekey(m)]].directory ∧ ¬ boolvar0 ∨ fs0[ri[inodekey(m)]].directory ∧ boolvar0 ∧ m2 = fs0[ri[inodekey(m)]].size ⊦ (adr1 = (m = ino ⊃ adr1;ri[inodekey(ino)]) ⊃ inodenode(inodekey(m), md, boolvar0, fs0[ri[inodekey(m)]].nlink, fs0[ri[inodekey(m)]].nsubdirs, m2) ;fs0[(m = ino ⊃ adr1;ri[inodekey(ino)])] ) .nsubdirs = 0, (adr1 = (m = ino ⊃ adr1;ri[inodekey(ino)]) ⊃ inodenode(inodekey(m), md, boolvar0, fs0[ri[inodekey(m)]].nlink, fs0[ri[inodekey(m)]].nsubdirs, m2) ;fs0[(m = ino ⊃ adr1;ri[inodekey(ino)])] ) .directory, adr1 ∈ fs0

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Proof step 72:
fs0[ri[inodekey(m)]].nlink = 0 ∧ m ≠ ROOT_INO ↔ inodekey(m) ∈ ro, fs0[ri[inodekey(m)]].inode?, 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(ino) ∈ ri, inodekey(m) ∈ ri, ri[inodekey(m)] ∈ fs0, ¬ fs0[ri[inodekey(ino)]].directory → fs0[ri[inodekey(ino)]].nsubdirs = 0, ¬ fs0[ri[inodekey(m)]].directory ∧ ¬ boolvar0 ∨ fs0[ri[inodekey(m)]].directory ∧ boolvar0 ∧ m2 = fs0[ri[inodekey(m)]].size ⊦ (adr1 = (m = ino ⊃ adr1;ri[inodekey(ino)]) ⊃ inodenode(inodekey(m), md, boolvar0, fs0[ri[inodekey(m)]].nlink, fs0[ri[inodekey(m)]].nsubdirs, m2) ;fs0[(m = ino ⊃ adr1;ri[inodekey(ino)])] ) .nsubdirs = 0, m = ino, (adr1 = (m = ino ⊃ adr1;ri[inodekey(ino)]) ⊃ inodenode(inodekey(m), md, boolvar0, fs0[ri[inodekey(m)]].nlink, fs0[ri[inodekey(m)]].nsubdirs, m2) ;fs0[(m = ino ⊃ adr1;ri[inodekey(ino)])] ) .directory, adr1 ∈ fs0

Rule argument

fma: m = ino

Additional information

Used simplifier rules: ⊦ inodenode(key, md, boolvar, m, m0, m1).nsubdirs = m0; (s)% ⊦ inodenode(key, md, boolvar, m, m0, m1).directory ↔ boolvar; (s) Used formulas: m = ino