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Proof step 113 from proof inv-rename-overwrite-reparent (previous step)

¬ fs0[ri0[inodekey(m8)]].directory ↔ ¬ fs0[ri0[inodekey(m5)]].directory, 1 = fs0[ri0[inodekey(m8)]].nlink, 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), links(m8, fs0, ri0) = ∅ ++ dentrykey(m0, str0), key4.dentry?, ro.inodes?, fo.inodes?, file-node-cons(fs0, ri0), log-cons(log0, fs0), 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), key4 ∈ ri0, 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, ri0[key4] ∈ fs0, key4.inode? → fs0[ri0[key4]].inode? ∧ key4.ino ≠ 0, key4.dentry? → fs0[ri0[key4]].dentry? ∧ inodekey(key4.ino) ∈ ri0 ∧ inodekey(fs0[ri0[key4]].ino) ∈ ri0 ∧ ¬ inodekey(key4.ino) ∈ ro ∧ ¬ inodekey(fs0[ri0[key4]].ino) ∈ ro ∧ fs0[ri0[inodekey(key4.ino)]].directory, key4.data? → fs0[ri0[key4]].data? ∧ inodekey(key4.ino) ∈ ri0 ∧ ¬ fs0[ri0[inodekey(key4.ino)]].directory ∧ # fs0[ri0[key4]].data = VFS_PAGE_SIZE, fs0[ri0[inodekey(m8)]].directory → dentrykeys(inodekey(m8), ri0) = ∅, ¬ 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, ¬ fs0[ri0[inodekey(m5)]].directory ∧ ¬ boolvar1 ∨ fs0[ri0[inodekey(m8)]].directory ∧ boolvar1 ∧ m7 = fs0[ri0[inodekey(m8)]].size ⊦ adr1 = adr2, adr1 = adr3, adr1 = adr4, adr1 = adr5, adr2 = adr3, adr2 = adr4, adr2 = adr5, adr3 = adr4, adr3 = adr5, adr4 = adr5, dentrykey(m, str) = dentrykey(m0, str0), inodekey(m8) = key4, inodekey(m0) = key4, inodekey(m) = key4, key4 = dentrykey(m, str), m = 0, m0 = m, m0 = 0, m8 = ROOT_INO, m8 = 0, adr4 ∈ (ri0 -- dentrykey(m, str))[dentrykey(m0, str0), adr2][inodekey(m), adr3], adr2 ∈ ri0 -- dentrykey(m, str), adr5 ∈ fs0, adr4 ∈ fs0, adr3 ∈ fs0, adr2 ∈ fs0, adr1 ∈ fs0, inodekey(m) ∈ ro, inodekey(m0) ∈ ro, adr3 ∈ (ri0 -- dentrykey(m, str))[dentrykey(m0, str0), adr2], adr5 ∈ (ri0 -- dentrykey(m, str))[dentrykey(m0, str0), adr2][inodekey(m), adr3][inodekey(m0), adr4], (adr5 = (dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4]) ⊃ inodenode(inodekey(m8), md2, boolvar1, 0, fs0[ri0[inodekey(m8)]].nsubdirs, m7) ;(adr4 = (dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4]) ⊃ inodenode(inodekey(m0), md0, true, m9, m12, m13) ;(adr3 = (dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4]) ⊃ inodenode(inodekey(m), md, true, m10, n0, m1) ;(adr2 = (dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4]) ⊃ dentrynode(dentrykey(m0, str0), m5) ;(adr1 = (dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4]) ⊃ dentrynode(dentrykey(m, str), 0);fs0[(dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4])]) ) ) ) ) .dentry? ∧ inodekey(key4.ino) ∈ ri0 ∧ ( (adr5 = (dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4]) ⊃ inodenode(inodekey(m8), md2, boolvar1, 0, fs0[ri0[inodekey(m8)]].nsubdirs, m7) ;(adr4 = (dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4]) ⊃ inodenode(inodekey(m0), md0, true, m9, m12, m13) ;(adr3 = (dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4]) ⊃ inodenode(inodekey(m), md, true, m10, n0, m1) ;(adr2 = (dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4]) ⊃ dentrynode(dentrykey(m0, str0), m5) ;(adr1 = (dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4]) ⊃ dentrynode(dentrykey(m, str), 0) ;fs0[(dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4])] ) ) ) ) ) .ino = m0 ∨ (adr5 = (dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4]) ⊃ inodenode(inodekey(m8), md2, boolvar1, 0, fs0[ri0[inodekey(m8)]].nsubdirs, m7) ;(adr4 = (dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4]) ⊃ inodenode(inodekey(m0), md0, true, m9, m12, m13) ;(adr3 = (dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4]) ⊃ inodenode(inodekey(m), md, true, m10, n0, m1) ;(adr2 = (dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4]) ⊃ dentrynode(dentrykey(m0, str0), m5) ;(adr1 = (dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4]) ⊃ dentrynode(dentrykey(m, str), 0) ;fs0[(dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4])] ) ) ) ) ) .ino = m ∨ inodekey ((adr5 = (dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4]) ⊃ inodenode(inodekey(m8), md2, boolvar1, 0, fs0[ri0[inodekey(m8)]].nsubdirs, m7) ;(adr4 = (dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4]) ⊃ inodenode(inodekey(m0), md0, true, m9, m12, m13) ;(adr3 = (dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4]) ⊃ inodenode(inodekey(m), md, true, m10, n0, m1) ;(adr2 = (dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4]) ⊃ dentrynode(dentrykey(m0, str0), m5) ;(adr1 = (dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4]) ⊃ dentrynode(dentrykey(m, str), 0) ;fs0[(dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4])] ) ) ) ) ) .ino) ∈ ri0) ∧ key4.ino ≠ m8 ∧ ¬ inodekey(key4.ino) ∈ ro ∧ (adr5 = (dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4]) ⊃ inodenode(inodekey(m8), md2, boolvar1, 0, fs0[ri0[inodekey(m8)]].nsubdirs, m7) ;(adr4 = (dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4]) ⊃ inodenode(inodekey(m0), md0, true, m9, m12, m13) ;(adr3 = (dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4]) ⊃ inodenode(inodekey(m), md, true, m10, n0, m1) ;(adr2 = (dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4]) ⊃ dentrynode(dentrykey(m0, str0), m5) ;(adr1 = (dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4]) ⊃ dentrynode(dentrykey(m, str), 0);fs0[(dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4])]) ) ) ) ) .ino ≠ m8 ∧ ¬ inodekey ((adr5 = (dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4]) ⊃ inodenode(inodekey(m8), md2, boolvar1, 0, fs0[ri0[inodekey(m8)]].nsubdirs, m7) ;(adr4 = (dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4]) ⊃ inodenode(inodekey(m0), md0, true, m9, m12, m13) ;(adr3 = (dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4]) ⊃ inodenode(inodekey(m), md, true, m10, n0, m1) ;(adr2 = (dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4]) ⊃ dentrynode(dentrykey(m0, str0), m5) ;(adr1 = (dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4]) ⊃ dentrynode(dentrykey(m, str), 0) ;fs0[(dentrykey(m0, str0) = key4 ⊃ adr2;ri0[key4])] ) ) ) ) ) .ino) ∈ ro ∧ (adr5 = (m0 = key4.ino ⊃ adr4;(m = key4.ino ⊃ adr3;ri0[inodekey(key4.ino)])) ⊃ inodenode(inodekey(m8), md2, boolvar1, 0, fs0[ri0[inodekey(m8)]].nsubdirs, m7) ;(adr4 = (m0 = key4.ino ⊃ adr4;(m = key4.ino ⊃ adr3;ri0[inodekey(key4.ino)])) ⊃ inodenode(inodekey(m0), md0, true, m9, m12, m13) ;(adr3 = (m0 = key4.ino ⊃ adr4;(m = key4.ino ⊃ adr3;ri0[inodekey(key4.ino)])) ⊃ inodenode(inodekey(m), md, true, m10, n0, m1) ;(adr2 = (m0 = key4.ino ⊃ adr4;(m = key4.ino ⊃ adr3;ri0[inodekey(key4.ino)])) ⊃ dentrynode(dentrykey(m0, str0), m5) ;(adr1 = (m0 = key4.ino ⊃ adr4;(m = key4.ino ⊃ adr3;ri0[inodekey(key4.ino)])) ⊃ dentrynode(dentrykey(m, str), 0) ;fs0[(m0 = key4.ino ⊃ adr4;(m = key4.ino ⊃ adr3;ri0[inodekey(key4.ino)]))] ) ) ) ) ) .directory

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 114:
¬ fs0[ri0[inodekey(m8)]].directory ↔ ¬ fs0[ri0[inodekey(m5)]].directory, 1 = fs0[ri0[inodekey(m8)]].nlink, 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), links(m8, fs0, ri0) = ∅ ++ dentrykey(m0, str0), fs0[ri0[dentrykey(ino, str1)]].dentry?, fs0[ri0[inodekey(ino)]].directory, ro.inodes?, fo.inodes?, file-node-cons(fs0, ri0), log-cons(log0, fs0), 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), dentrykey(ino, str1) ∈ ri0, 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, ri0[dentrykey(ino, str1)] ∈ fs0, inodekey(fs0[ri0[dentrykey(ino, str1)]].ino) ∈ ri0, inodekey(ino) ∈ ri0, fs0[ri0[inodekey(m8)]].directory → dentrykeys(inodekey(m8), ri0) = ∅, ¬ 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, ¬ fs0[ri0[inodekey(m5)]].directory ∧ ¬ boolvar1 ∨ fs0[ri0[inodekey(m8)]].directory ∧ boolvar1 ∧ m7 = fs0[ri0[inodekey(m8)]].size ⊦ adr1 = adr2, adr1 = adr3, adr1 = adr4, adr1 = adr5, adr2 = adr3, adr2 = adr4, adr2 = adr5, adr3 = adr4, adr3 = adr5, adr4 = adr5, dentrykey(m, str) = dentrykey(m0, str0), dentrykey(ino, str1) = dentrykey(m, str), m = 0, m0 = m, m0 = 0, m8 = ROOT_INO, m8 = 0, adr4 ∈ (ri0 -- dentrykey(m, str))[dentrykey(m0, str0), adr2][inodekey(m), adr3], adr2 ∈ ri0 -- dentrykey(m, str), adr5 ∈ fs0, adr4 ∈ fs0, adr3 ∈ fs0, adr2 ∈ fs0, adr1 ∈ fs0, inodekey(m) ∈ ro, inodekey(m0) ∈ ro, adr3 ∈ (ri0 -- dentrykey(m, str))[dentrykey(m0, str0), adr2], adr5 ∈ (ri0 -- dentrykey(m, str))[dentrykey(m0, str0), adr2][inodekey(m), adr3][inodekey(m0), adr4], inodekey(fs0[ri0[dentrykey(ino, str1)]].ino) ∈ ro, inodekey(ino) ∈ ro, (adr5 = (dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)]) ⊃ inodenode(inodekey(m8), md2, boolvar1, 0, 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, 0, 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, 0, 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, 0, 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) ∧ ino ≠ m8 ∧ (adr5 = (dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)]) ⊃ inodenode(inodekey(m8), md2, boolvar1, 0, 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 ∧ ¬ inodekey ((adr5 = (dentrykey(m0, str0) = dentrykey(ino, str1) ⊃ adr2;ri0[dentrykey(ino, str1)]) ⊃ inodenode(inodekey(m8), md2, boolvar1, 0, 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 = (m0 = ino ⊃ adr4;(m = ino ⊃ adr3;ri0[inodekey(ino)])) ⊃ inodenode(inodekey(m8), md2, boolvar1, 0, fs0[ri0[inodekey(m8)]].nsubdirs, m7) ;(adr4 = (m0 = ino ⊃ adr4;(m = ino ⊃ adr3;ri0[inodekey(ino)])) ⊃ inodenode(inodekey(m0), md0, true, m9, m12, m13) ;(adr3 = (m0 = ino ⊃ adr4;(m = ino ⊃ adr3;ri0[inodekey(ino)])) ⊃ inodenode(inodekey(m), md, true, m10, n0, m1) ;(adr2 = (m0 = ino ⊃ adr4;(m = ino ⊃ adr3;ri0[inodekey(ino)])) ⊃ dentrynode(dentrykey(m0, str0), m5) ;(adr1 = (m0 = ino ⊃ adr4;(m = ino ⊃ adr3;ri0[inodekey(ino)])) ⊃ dentrynode(dentrykey(m, str), 0) ;fs0[(m0 = ino ⊃ adr4;(m = ino ⊃ adr3;ri0[inodekey(ino)]))] ) ) ) ) ) .directory

Rule argument

Additional information

Used simplifier rules: elim-dentry: ⊦ key.dentry? ↔ (∃ ino, str. key = dentrykey(ino, str));%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).data?; (s)% ⊦ dentrykey(m, str).ino = m; (s)% ⊦ dentrykey(m, str).dentry?; (s)% ⊦ ¬ dentrykey(m, str).inode?; (s)% ⊦ inodekey(m) ≠ dentrykey(m0, str); (s)