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Proof step 347 from proof inv-rename-overwrite-reparent (previous step)

m11 + 1 = fs0[ri0[inodekey(m8)]].nlink, ¬ fs0[ri0[inodekey(m8)]].directory ↔ ¬ fs0[ri0[inodekey(m5)]].directory, fs0[ri0[dentrykey(m, str)]] = dentrynode(key1, m5), fs0[ri0[inodekey(m0)]] = inodenode(key0, md1, true, m9, m12, m13), fs0[ri0[dentrykey(m0, str0)]] = dentrynode(key3, m8), fs0[ri0[dentrykey(ino, str1)]] = dentrynode(key, m2), fs0[ri0[dentrykey(ino, str1)]].dentry?, 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-cons(ri0, fs0), ri-inj(ri0), ri-inj(fi), ubifs-cons(fs0, ri0, ro, fi, fo, log0), inodekey(ino) ∈ ri0, inodekey(m2) ∈ ri0, ri0[dentrykey(ino, str1)] ∈ fs0, ri0[inodekey(m)] ∈ fs0, ri0[dentrykey(m0, str0)] ∈ fs0, inodekey(m0) ∈ ri0, inodekey(m) ∈ ri0, ri0[dentrykey(m, str)] ∈ fs0, inodekey(m8) ∈ ri0, dentrykey(m0, str0) ∈ ri0, inodekey(m5) ∈ ri0, dentrykey(m, str) ∈ ri0, ri0[inodekey(m0)] ∈ fs0, dentrykey(ino, str1) ∈ ri0, fs0[ri0[inodekey(m8)]].directory → dentrykeys(inodekey(m8), ri0) = ∅, ¬ fs0[ri0[inodekey(m5)]].directory ∧ ¬ boolvar1 ∨ fs0[ri0[inodekey(m8)]].directory ∧ boolvar1 ∧ m7 = fs0[ri0[inodekey(m8)]].size, ¬ fs0[ri0[inodekey(m5)]].directory ∧ ¬ boolvar3 ∨ fs0[ri0[inodekey(m5)]].directory ∧ boolvar3 ∧ m4 = fs0[ri0[inodekey(m5)]].size, m9 ≠ 0 ∨ m0 = ROOT_INO, m10 ≠ 0 ∨ m = ROOT_INO ⊦ adr1 = adr5, adr1 = adr4, adr1 = adr3, adr1 = adr2, adr2 = adr5, adr2 = adr4, adr2 = adr3, adr3 = adr5, adr3 = adr4, adr4 = adr5, dentrykey(ino, str1) = dentrykey(m, str), dentrykey(m, str) = dentrykey(m0, str0), m = 0, m0 = 0, m0 = m, m11 = 0, m8 = 0, m8 = ROOT_INO, inodekey(ino) ∈ ro, inodekey(m2) ∈ ro, adr5 ∈ (ri0 -- dentrykey(m, str))[dentrykey(m0, str0), adr2][inodekey(m), adr3][inodekey(m0), adr4], adr3 ∈ (ri0 -- dentrykey(m, str))[dentrykey(m0, str0), adr2], inodekey(m0) ∈ ro, inodekey(m) ∈ ro, adr1 ∈ fs0, adr2 ∈ fs0, adr3 ∈ fs0, adr4 ∈ fs0, adr5 ∈ fs0, adr2 ∈ ri0 -- dentrykey(m, str), adr4 ∈ (ri0 -- dentrykey(m, str))[dentrykey(m0, str0), adr2][inodekey(m), adr3], (adr5 = (dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)]) ⊃ inodenode(inodekey(m8), md2, boolvar1, m11, fs0[ri0[inodekey(m8)]].nsubdirs, m7) ;(adr4 = (dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)]) ⊃ inodenode(inodekey(m0), md0, true, m9, m12, m13) ;(adr3 = (dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)]) ⊃ inodenode(inodekey(m), md, true, m10, n0, m1) ;(adr2 = (dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)]) ⊃ dentrynode(dentrykey(m0, str0), m5) ;(adr1 = (dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)]) ⊃ dentrynode(dentrykey(m, str), 0) ;fs0[(dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)])] ) ) ) ) ) .dentry? ∧ ( (adr5 = (dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)]) ⊃ inodenode(inodekey(m8), md2, boolvar1, m11, fs0[ri0[inodekey(m8)]].nsubdirs, m7) ;(adr4 = (dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)]) ⊃ inodenode(inodekey(m0), md0, true, m9, m12, m13) ;(adr3 = (dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)]) ⊃ inodenode(inodekey(m), md, true, m10, n0, m1) ;(adr2 = (dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)]) ⊃ dentrynode(dentrykey(m0, str0), m5) ;(adr1 = (dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)]) ⊃ dentrynode(dentrykey(m, str), 0) ;fs0[(dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)])] ) ) ) ) ) .ino = m8 ∨ (adr5 = (dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)]) ⊃ inodenode(inodekey(m8), md2, boolvar1, m11, fs0[ri0[inodekey(m8)]].nsubdirs, m7) ;(adr4 = (dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)]) ⊃ inodenode(inodekey(m0), md0, true, m9, m12, m13) ;(adr3 = (dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)]) ⊃ inodenode(inodekey(m), md, true, m10, n0, m1) ;(adr2 = (dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)]) ⊃ dentrynode(dentrykey(m0, str0), m5) ;(adr1 = (dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)]) ⊃ dentrynode(dentrykey(m, str), 0) ;fs0[(dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)])] ) ) ) ) ) .ino = m0 ∨ (adr5 = (dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)]) ⊃ inodenode(inodekey(m8), md2, boolvar1, m11, fs0[ri0[inodekey(m8)]].nsubdirs, m7) ;(adr4 = (dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)]) ⊃ inodenode(inodekey(m0), md0, true, m9, m12, m13) ;(adr3 = (dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)]) ⊃ inodenode(inodekey(m), md, true, m10, n0, m1) ;(adr2 = (dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)]) ⊃ dentrynode(dentrykey(m0, str0), m5) ;(adr1 = (dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)]) ⊃ dentrynode(dentrykey(m, str), 0) ;fs0[(dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)])] ) ) ) ) ) .ino = m ∨ inodekey ((adr5 = (dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)]) ⊃ inodenode(inodekey(m8), md2, boolvar1, m11, fs0[ri0[inodekey(m8)]].nsubdirs, m7) ;(adr4 = (dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)]) ⊃ inodenode(inodekey(m0), md0, true, m9, m12, m13) ;(adr3 = (dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)]) ⊃ inodenode(inodekey(m), md, true, m10, n0, m1) ;(adr2 = (dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)]) ⊃ dentrynode(dentrykey(m0, str0), m5) ;(adr1 = (dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)]) ⊃ dentrynode(dentrykey(m, str), 0) ;fs0[(dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)])] ) ) ) ) ) .ino) ∈ ri0) ∧ ¬ inodekey ((adr5 = (dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)]) ⊃ inodenode(inodekey(m8), md2, boolvar1, m11, fs0[ri0[inodekey(m8)]].nsubdirs, m7) ;(adr4 = (dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)]) ⊃ inodenode(inodekey(m0), md0, true, m9, m12, m13) ;(adr3 = (dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)]) ⊃ inodenode(inodekey(m), md, true, m10, n0, m1) ;(adr2 = (dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)]) ⊃ dentrynode(dentrykey(m0, str0), m5) ;(adr1 = (dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)]) ⊃ dentrynode(dentrykey(m, str), 0) ;fs0[(dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)])] ) ) ) ) ) .ino) ∈ ro ∧ (adr5 = (m8 = ino ⊃ adr5;(m0 = ino ⊃ adr4;(m = ino ⊃ adr3;ri0[inodekey(ino)]))) ⊃ inodenode(inodekey(m8), md2, boolvar1, m11, fs0[ri0[inodekey(m8)]].nsubdirs, m7) ;(adr4 = (m8 = ino ⊃ adr5;(m0 = ino ⊃ adr4;(m = ino ⊃ adr3;ri0[inodekey(ino)]))) ⊃ inodenode(inodekey(m0), md0, true, m9, m12, m13) ;(adr3 = (m8 = ino ⊃ adr5;(m0 = ino ⊃ adr4;(m = ino ⊃ adr3;ri0[inodekey(ino)]))) ⊃ inodenode(inodekey(m), md, true, m10, n0, m1) ;(adr2 = (m8 = ino ⊃ adr5;(m0 = ino ⊃ adr4;(m = ino ⊃ adr3;ri0[inodekey(ino)]))) ⊃ dentrynode(dentrykey(m0, str0), m5) ;(adr1 = (m8 = ino ⊃ adr5;(m0 = ino ⊃ adr4;(m = ino ⊃ adr3;ri0[inodekey(ino)]))) ⊃ dentrynode(dentrykey(m, str), 0) ;fs0[(m8 = ino ⊃ adr5;(m0 = ino ⊃ adr4;(m = ino ⊃ adr3;ri0[inodekey(ino)])))] ) ) ) ) ) .directory

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ dentrynode(key, m).dentry?; (s)