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Proof step 65 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-cons(ri, fs0), ri-inj(fi), ri-inj(ri), ubifs-cons(fs0, ri, ro, fi, fo, log0), ri[inodekey(m)] ∈ fs0, inodekey(m) ∈ ri, ¬ fs0[ri[inodekey(m)]].directory ∧ ¬ boolvar0 ∨ fs0[ri[inodekey(m)]].directory ∧ boolvar0 ∧ m2 = fs0[ri[inodekey(m)]].size ⊦ (m = ROOT_INO ⊃ (ri ⊖ ro)[inodekey(ROOT_INO), adr1];(boolvar0 ⊃ (ri ⊖ ro) -- inodekey(m);(ri ⊖ ro) ⊖ inodekey(m))) = ri[inodekey(m), adr1] ⊖ ro, m = 0, m = ROOT_INO, adr1 ∈ fs0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 66:
fs0[ri[inodekey(m)]].nlink = 0, 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-cons(ri, fs0), ri-inj(fi), ri-inj(ri), ubifs-cons(fs0, ri, ro, fi, fo, log0), inodekey(m) ∈ ro, ri[inodekey(m)] ∈ fs0, inodekey(m) ∈ ri, ¬ fs0[ri[inodekey(m)]].directory ∧ ¬ boolvar0 ∨ fs0[ri[inodekey(m)]].directory ∧ boolvar0 ∧ m2 = fs0[ri[inodekey(m)]].size ⊦ # ro = 0, (boolvar0 ⊃ (ri ⊖ ro) -- inodekey(m);ri ⊖ ro) = ri ⊖ ro, m = 0, m = ROOT_INO, ro = ∅, adr1 ∈ fs0

Rule argument

Additional information

Used simplifier rules: size-zero-01: ⊦ ks ≠ ∅ → # ks ≠ 0; (forward) from specification set-basic[node-index]%ne-01: ⊦ key ∈ ks → ks ≠ ∅; (forward) from specification set-basic[node-index]% ⊦ inodekey(m) ∈ ks → ri[inodekey(m), adr] ⊖ ks = ri ⊖ ks; (s)% ⊦ inodekey(m) ∈ ks → (ri ⊖ ks) ⊖ inodekey(m) = ri ⊖ ks; (s)