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Proof step 1064 from proof refine-rename-overwrite-keep-parent-different (previous step)

¬ fs0[ri0[inodekey(m3)]].directory ↔ ¬ fs0[ri0[inodekey(m)]].directory, fs0[ri0[dentrykey(m7, str0)]] = dentrynode(key0, m3), fs0[ri0[dentrykey(m7, str)]] = dentrynode(key2, m), fs0[ri0[inodekey(m7)]] = inodenode(key1, md2, true, m4, n0 + (boolvar1 ⊃ 1;0), m11 + 1), abs-dirs(fs0, ri0)[m7] = mkdir(m8, md, m9, m12, entries), m8 = 0, fo.inodes?, orphans(fs0, ri0).inodes?, afs-cons(abs-dirs(fs0, ri0), abs-files(fs0, ri0)), file-node-cons(fs0, ri0), file-node-cons (fs0[adr1, dentrynode(dentrykey(m7, str), 0)][adr2, dentrynode(dentrykey(m7, str0), m)][adr3, inodenode(inodekey(m7), md1, true, m4, n0, m11)] [adr4, inodenode(inodekey(m3), md0, boolvar2, m10, m5, m6) ], (ri0 -- dentrykey(m7, str))[dentrykey(m7, str0), adr2][inodekey(m7), adr3][inodekey(m3), adr4]), log-cons(log0, fs0), log-cons (log0, fs0[adr1, dentrynode(dentrykey(m7, str), 0)][adr2, dentrynode(dentrykey(m7, str0), m)][adr3, inodenode(inodekey(m7), md1, true, m4, n0, m11)] [adr4, inodenode(inodekey(m3), md0, boolvar2, m10, m5, m6) ]), orphans-cons(fs0, ri0, orphans(fs0, ri0)), orphans-cons (fs0[adr1, dentrynode(dentrykey(m7, str), 0)][adr2, dentrynode(dentrykey(m7, str0), m)][adr3, inodenode(inodekey(m7), md1, true, m4, n0, m11)] [adr4, inodenode(inodekey(m3), md0, boolvar2, m10, m5, m6) ], (ri0 -- dentrykey(m7, str))[dentrykey(m7, str0), adr2][inodekey(m7), adr3][inodekey(m3), adr4], orphans(fs0, ri0)), replay-cons-strong(fs0, ri0, orphans(fs0, ri0), fi, fo, log0), replay-cons-strong (fs0[adr1, dentrynode(dentrykey(m7, str), 0)][adr2, dentrynode(dentrykey(m7, str0), m)][adr3, inodenode(inodekey(m7), md1, true, m4, n0, m11)] [adr4, inodenode(inodekey(m3), md0, boolvar2, m10, m5, m6) ], (ri0 -- dentrykey(m7, str))[dentrykey(m7, str0), adr2][inodekey(m7), adr3][inodekey(m3), adr4], orphans(fs0, ri0), fi, fo, (((log0 + adr1 ') + adr2 ') + adr3 ') + adr4 '), ri-cons(ri0, fs0), ri-inj(ri0), ri-inj(fi), ri-inj((ri0 -- dentrykey(m7, str))[dentrykey(m7, str0), adr2][inodekey(m7), adr3][inodekey(m3), adr4]), ubifs-cons(fs0, ri0, orphans(fs0, ri0), fi, fo, log0), ubifs-cons (fs0[adr1, dentrynode(dentrykey(m7, str), 0)][adr2, dentrynode(dentrykey(m7, str0), m)][adr3, inodenode(inodekey(m7), md1, true, m4, n0, m11)] [adr4, inodenode(inodekey(m3), md0, boolvar2, m10, m5, m6) ], (ri0 -- dentrykey(m7, str))[dentrykey(m7, str0), adr2][inodekey(m7), adr3][inodekey(m3), adr4], orphans(fs0, ri0), fi, fo, (((log0 + adr1 ') + adr2 ') + adr3 ') + adr4 '), ri0[dentrykey(m7, str)] ∈ fs0, ri0[inodekey(m7)] ∈ fs0, ri0[dentrykey(m7, str0)] ∈ fs0, inodekey(m7) ∈ ri0, dentrykey(m7, str0) ∈ ri0, dentrykey(m7, str) ∈ ri0, inodekey(m3) ∈ ri0, inodekey(m) ∈ ri0, fs0[ri0[inodekey(m3)]].directory → dentrykeys(inodekey(m3), ri0) = ∅, fs0[ri0[inodekey(m3)]].directory → abs-children(m3, fs0, ri0) = ∅, boolvar3 → boolvar4, fs0[ri0[inodekey(m3)]].directory ∧ m10 + 1 = fs0[ri0[inodekey(m3)]].nlink ∧ m6 = fs0[ri0[inodekey(m3)]].size ∧ m5 = fs0[ri0[inodekey(m3)]].nsubdirs ∧ boolvar2 ∨ ¬ fs0[ri0[inodekey(m)]].directory ∧ m10 + 1 = fs0[ri0[inodekey(m3)]].nlink ∧ m5 = 0 ∧ ¬ boolvar2, fs0[ri0[inodekey(m)]].directory ∧ m0 = fs0[ri0[inodekey(m)]].nlink ∧ m2 = fs0[ri0[inodekey(m)]].size ∧ m1 = fs0[ri0[inodekey(m)]].nsubdirs ∧ boolvar1 ∨ ¬ fs0[ri0[inodekey(m)]].directory ∧ m0 = fs0[ri0[inodekey(m)]].nlink ∧ m1 = 0 ∧ ¬ boolvar1, ¬ fs0[ri0[inodekey(m)]].directory ∧ ¬ boolvar2 ∧ m10 + 1 = fs0[ri0[inodekey(m3)]].nlink ∧ m5 = fs0[ri0[inodekey(m3)]].nsubdirs ∨ fs0[ri0[inodekey(m3)]].directory ∧ boolvar2 ∧ m10 + 1 = fs0[ri0[inodekey(m3)]].nlink ∧ m5 = fs0[ri0[inodekey(m3)]].nsubdirs ∧ m6 = fs0[ri0[inodekey(m3)]].size, ¬ fs0[ri0[inodekey(m)]].directory ∧ ¬ boolvar1 ∧ m0 = fs0[ri0[inodekey(m)]].nlink ∧ m1 = fs0[ri0[inodekey(m)]].nsubdirs ∨ fs0[ri0[inodekey(m)]].directory ∧ boolvar1 ∧ m0 = fs0[ri0[inodekey(m)]].nlink ∧ m1 = fs0[ri0[inodekey(m)]].nsubdirs ∧ m2 = fs0[ri0[inodekey(m)]].size, links(m7, abs-dirs(fs0, ri0)) ≠ ∅ ∨ m7 = ROOT_INO, m4 ≠ 0 ∨ m7 = ROOT_INO ⊦ adr1 = adr2, adr1 = adr3, adr1 = adr4, adr2 = adr3, adr2 = adr4, adr3 = adr4, m10 = 0, m3 = ROOT_INO, m3 = 0, m7 = 0, mkdentry(str, m) = mkdentry(str0, m3), adr4 ∈ (ri0 -- dentrykey(m7, str))[dentrykey(m7, str0), adr2][inodekey(m7), adr3], adr2 ∈ ri0 -- dentrykey(m7, str), adr4 ∈ fs0, adr3 ∈ fs0, adr2 ∈ fs0, adr1 ∈ fs0, adr3 ∈ (ri0 -- dentrykey(m7, str))[dentrykey(m7, str0), adr2], m4 = 0 ∧ m7 ≠ ROOT_INO

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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