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Proof step 582 from proof inv-rename-overwrite-keep-parent (previous step)

fs0[ri0[inodekey(m)]] = inodenode(key2, md2, true, m1, m2, m4), fs0[ri0[dentrykey(m, str0)]] = dentrynode(key0, m8), fs0[ri0[inodekey(m8)]] = inodenode(key1, md0, boolvar0, m0, m9, m10), fs0[ri0[dentrykey(ino, str)]] = dentrynode(dentrykey(ino, str), m5), fs0[ri0[inodekey(ino)]].directory, 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-inj(ri0), ri-inj(fi), ubifs-cons(fs0, ri0, ro, fi, fo, log0), inodekey(ino) ∈ ri0, inodekey(m5) ∈ ri0, dentrykey(ino, str) ∈ ri0, ri0[dentrykey(ino, str)] ∈ fs0, ri0[inodekey(m8)] ∈ fs0, ri0[dentrykey(m, str0)] ∈ fs0, inodekey(m8) ∈ ri0, dentrykey(m, str0) ∈ ri0, inodekey(m) ∈ ri0, ri0[inodekey(m)] ∈ fs0, inodekey ((adr3 = (dentrykey(m, str0) = dentrykey(ino, str) ⊃ adr2;ri0[dentrykey(ino, str)]) ⊃ inodenode(inodekey(m), md, true, m1, m2, m4) ;(adr2 = (dentrykey(m, str0) = dentrykey(ino, str) ⊃ adr2;ri0[dentrykey(ino, str)]) ⊃ dentrynode(dentrykey(m, str0), m8) ;(adr1 = (dentrykey(m, str0) = dentrykey(ino, str) ⊃ adr2;ri0[dentrykey(ino, str)]) ⊃ dentrynode(dentrykey(m, str0), 0) ;fs0[(dentrykey(m, str0) = dentrykey(ino, str) ⊃ adr2;ri0[dentrykey(ino, str)])] ) ) ) .ino) ∈ ro, 1 ≤ m4, boolvar0 → dentrykeys(inodekey(m8), ri0) = ∅, m0 = 1 → links(m8, fs0, ri0) = ∅ ++ dentrykey(m, str0), boolvar3 → 1 ≤ m2, ¬ boolvar0 ∧ ¬ boolvar2 ∨ boolvar0 ∧ boolvar2 ∧ m6 = m10, ¬ boolvar0 ∧ ¬ boolvar3 ∨ boolvar0 ∧ boolvar3 ∧ m3 = m10, m1 ≠ 0 ∨ m = ROOT_INO ⊦ # ro = 0, 0 = m8, 0 = m, adr1 = adr2, adr1 = adr3, adr1 = adr4, adr2 = adr3, adr2 = adr4, adr3 = adr4, adr4 = (dentrykey(m, str0) = dentrykey(ino, str) ⊃ adr2;ri0[dentrykey(ino, str)]), m0 = 0, m4 = 0, m8 = ROOT_INO, ro = ∅, inodekey(ino) ∈ ro, inodekey(m5) ∈ ro, adr2 ∈ ri0 -- dentrykey(m, str0), adr4 ∈ fs0, adr3 ∈ fs0, adr2 ∈ fs0, adr1 ∈ fs0, inodekey(m) ∈ ro

Heuristic if-then-else split applied rule case distinction

And closed the goal!

Rule argument

pos: right 10

Additional information

Used simplifier rules: ubifs-cons-dentry-target-not-in-orphans: ⊦ ubifs-cons(fs, ri, ro, fi, fo, log) ∧ dentrykey(ino, str) ∈ ri ∧ fs[ri[dentrykey(ino, str)]] = dentrynode(key, m) → ¬ inodekey(m) ∈ ro;%ubifs-cons-dentry-target-not-in-orphans: ⊦ ubifs-cons(fs, ri, ro, fi, fo, log) ∧ dentrykey(ino, str) ∈ ri ∧ fs[ri[dentrykey(ino, str)]] = dentrynode(key, m) → ¬ inodekey(m) ∈ ro;% ⊦ dentrynode(key, m).ino = m; (s)% ⊦ dentrykey(m, str) = dentrykey(m0, str0) ↔ m = m0 ∧ str = str0; (ws)