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Proof step 74 from proof inv-rename-new-keep-parent (previous step)

fs0[ri0[key]].key = key, fs0[ri0[inodekey(m)]] = inodenode(key1, md0, true, m4, m5, m6), fs0[ri0[dentrykey(m, str)]] = dentrynode(key0, m0), key.dentry?, 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-inj(fi), ri-inj(ri0), ubifs-cons(fs0, ri0, ro, fi, fo, log0), ri0[key] ∈ fs0, key ∈ ri0, dentrykey(m, str) ∈ ri0, inodekey(m0) ∈ ri0, ri0[dentrykey(m, str)] ∈ fs0, inodekey(m) ∈ ri0, ri0[inodekey(m)] ∈ fs0, inodekey(key.ino) ∈ ri0, 1 ≤ m6, key.data? → fs0[ri0[key]].data? ∧ ¬ fs0[ri0[inodekey(key.ino)]].directory ∧ # fs0[ri0[key]].data = VFS_PAGE_SIZE, key.dentry? → fs0[ri0[key]].dentry? ∧ inodekey(fs0[ri0[key]].ino) ∈ ri0 ∧ ¬ inodekey(key.ino) ∈ ro ∧ ¬ inodekey(fs0[ri0[key]].ino) ∈ ro ∧ fs0[ri0[inodekey(key.ino)]].directory, key.inode? → fs0[ri0[key]].inode?, boolvar2 → 1 ≤ m5, m4 ≠ 0 ∨ m = ROOT_INO, ¬ fs0[ri0[inodekey(m0)]].directory ∧ ¬ boolvar2 ∨ fs0[ri0[inodekey(m0)]].directory ∧ boolvar2 ∧ m3 = fs0[ri0[inodekey(m0)]].size ⊦ key.ino = 0, adr1 = adr3, adr1 = adr2, adr2 = adr3, key = inodekey(m), key = dentrykey(m, str), m = 0, m6 = 0, adr3 ∈ (ri0 -- dentrykey(m, str))[dentrykey(m, str0), adr2], inodekey(m) ∈ ro, dentrykey(m, str0) ∈ ri0, adr1 ∈ fs0, adr2 ∈ fs0, adr3 ∈ fs0, adr2 ∈ ri0 -- dentrykey(m, str), fs0[ri0[key]].dentry? ∧ inodekey(fs0[ri0[key]].ino) ∈ ri0 ∧ ¬ inodekey(key.ino) ∈ ro ∧ ¬ inodekey(fs0[ri0[key]].ino) ∈ ro ∧ (adr3 = (m = key.ino ⊃ adr3;ri0[inodekey(key.ino)]) ⊃ inodenode(inodekey(m), md, true, m4, m5, m6) ;(adr2 = (m = key.ino ⊃ adr3;ri0[inodekey(key.ino)]) ⊃ dentrynode(dentrykey(m, str0), m0) ;(adr1 = (m = key.ino ⊃ adr3;ri0[inodekey(key.ino)]) ⊃ dentrynode(dentrykey(m, str), 0);fs0[(m = key.ino ⊃ adr3;ri0[inodekey(key.ino)])]) ) ) .directory

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 75:
fs0[ri0[dentrykey(ino, str1)]].key = dentrykey(ino, str1), fs0[ri0[inodekey(m)]] = inodenode(key1, md0, true, m4, m5, m6), fs0[ri0[dentrykey(m, str)]] = dentrynode(key0, m0), fs0[ri0[dentrykey(ino, str1)]].dentry?, fs0[ri0[inodekey(ino)]].directory, 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-inj(fi), ri-inj(ri0), ubifs-cons(fs0, ri0, ro, fi, fo, log0), ri0[dentrykey(ino, str1)] ∈ fs0, dentrykey(ino, str1) ∈ ri0, dentrykey(m, str) ∈ ri0, inodekey(m0) ∈ ri0, ri0[dentrykey(m, str)] ∈ fs0, inodekey(m) ∈ ri0, ri0[inodekey(m)] ∈ fs0, inodekey(fs0[ri0[dentrykey(ino, str1)]].ino) ∈ ri0, inodekey(ino) ∈ ri0, 1 ≤ m6, boolvar2 → 1 ≤ m5, m4 ≠ 0 ∨ m = ROOT_INO, ¬ fs0[ri0[inodekey(m0)]].directory ∧ ¬ boolvar2 ∨ fs0[ri0[inodekey(m0)]].directory ∧ boolvar2 ∧ m3 = fs0[ri0[inodekey(m0)]].size ⊦ adr1 = adr3, adr1 = adr2, adr2 = adr3, dentrykey(ino, str1) = dentrykey(m, str), ino = 0, m = 0, m6 = 0, (adr3 = (m = ino ⊃ adr3;ri0[inodekey(ino)]) ⊃ inodenode(inodekey(m), md, true, m4, m5, m6) ;(adr2 = (m = ino ⊃ adr3;ri0[inodekey(ino)]) ⊃ dentrynode(dentrykey(m, str0), m0) ;(adr1 = (m = ino ⊃ adr3;ri0[inodekey(ino)]) ⊃ dentrynode(dentrykey(m, str), 0);fs0[(m = ino ⊃ adr3;ri0[inodekey(ino)])]) ) ) .directory, adr3 ∈ (ri0 -- dentrykey(m, str))[dentrykey(m, str0), adr2], inodekey(m) ∈ ro, dentrykey(m, str0) ∈ ri0, adr1 ∈ fs0, adr2 ∈ fs0, adr3 ∈ fs0, adr2 ∈ ri0 -- dentrykey(m, str), inodekey(fs0[ri0[dentrykey(ino, str1)]].ino) ∈ ro, inodekey(ino) ∈ ro

Rule argument

Additional information

Used simplifier rules: elim-dentry: ⊦ key.dentry? ↔ (∃ ino, str. key = dentrykey(ino, str));%dentry-ubifs-cons: ⊦ dentrykey(ino, str) ∈ ri ∧ ri[dentrykey(ino, str)] ∈ fs ∧ ubifs-cons(fs, ri, ro, fi, fo, log) → fs[ri[dentrykey(ino, str)]].dentry?;%ubifs-parent-in: ⊦ dentrykey(ino, str) ∈ ri ∧ ubifs-cons(fs, ri, ro, fi, fo, log) → inodekey(ino) ∈ ri; (forward) from specification aubifs-inv% ⊦ ¬ dentrykey(m, str).inode?; (s)% ⊦ dentrykey(m, str).dentry?; (s)% ⊦ ¬ dentrykey(m, str).data?; (s)% ⊦ inodekey(m) ≠ dentrykey(m0, str); (s)% ⊦ dentrykey(m, str).ino = m; (s)