[Imprint][Data Privacy Statement][E-Mail]



View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 87 from proof inv-rename-overwrite-keep-parent (previous step)

¬ boolvar1 ↔ ¬ boolvar0, fs0[ri0[inodekey(m1)]] = inodenode(key3, md3, boolvar1, 1, m11, m12), fs0[ri0[inodekey(m)]] = inodenode(key2, md2, true, m4, n0 + (boolvar3 ⊃ 1;0), m0 + 1), fs0[ri0[inodekey(m2)]] = inodenode(key1, md0, boolvar0, m5, m9, m10), fs0[ri0[dentrykey(m, str)]] = dentrynode(key0, m2), fs0[ri0[dentrykey(m, str0)]] = dentrynode(key4, m1), fs = fs0[adr1, dentrynode(dentrykey(m, str), 0)][adr2, dentrynode(dentrykey(m, str0), m2)][adr3, inodenode(inodekey(m), md, true, m4, n0, m0)] [adr4, inodenode(inodekey(m1), md1, boolvar2, 0, m11, m6) ], key = inodekey(m1), links(m1, fs0, ri0) = ∅ ++ dentrykey(m, str0), log = (((log0 + adr1 ') + adr2 ') + adr3 ') + adr4 ', ri = (ri0 -- dentrykey(m, str))[dentrykey(m, str0), adr2][inodekey(m), adr3][inodekey(m1), adr4], mkdentry(str, m2).dentry?, 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), ri0[inodekey(m)] ∈ fs0, ri0[inodekey(m1)] ∈ fs0, ri0[dentrykey(m, str0)] ∈ fs0, inodekey(m) ∈ ri0, ri0[inodekey(m2)] ∈ fs0, ri0[dentrykey(m, str)] ∈ fs0, inodekey(m1) ∈ ri0, dentrykey(m, str0) ∈ ri0, inodekey(m2) ∈ ri0, dentrykey(m, str) ∈ ri0, boolvar1 → dentrykeys(inodekey(m1), ri0) = ∅, ¬ boolvar0 ∧ ¬ boolvar2 ∨ boolvar1 ∧ boolvar2 ∧ m6 = m12, ¬ boolvar0 ∧ ¬ boolvar3 ∨ boolvar0 ∧ boolvar3 ∧ m3 = m10, m4 ≠ 0 ∨ m = ROOT_INO ⊦ ⟪old_dent := negdentry(str); parent_inode0 := mkinode (m, inodenode(inodekey(m), md, true, m4, n0, m0).meta, inodenode(inodekey(m), md, true, m4, n0, m0).directory, inodenode(inodekey(m), md, true, m4, n0, m0).nlink, inodenode(inodekey(m), md, true, m4, n0, m0).nsubdirs, inodenode(inodekey(m), md, true, m4, n0, m0).size); new_child_inode := mkinode (m1, inodenode(inodekey(m1), md1, boolvar2, 0, m11, m6).meta, inodenode(inodekey(m1), md1, boolvar2, 0, m11, m6).directory, inodenode(inodekey(m1), md1, boolvar2, 0, m11, m6).nlink, inodenode(inodekey(m1), md1, boolvar2, 0, m11, m6).nsubdirs, inodenode(inodekey(m1), md1, boolvar2, 0, m11, m6).size)⟫ ( ubifs-cons (fs0[adr1, dentrynode(dentrykey(m, str), 0)][adr2, dentrynode(dentrykey(m, str0), m2)][adr3, inodenode(inodekey(m), md, true, m4, n0, m0)] [adr4, inodenode(inodekey(m1), md1, boolvar2, 0, m11, m6) ], (ri0 -- dentrykey(m, str))[dentrykey(m, str0), adr2][inodekey(m), adr3][inodekey(m1), adr4], ro ++ key, fi, fo, (((log0 + adr1 ') + adr2 ') + adr3 ') + adr4 ') ∧ replay-cons-strong (fs0[adr1, dentrynode(dentrykey(m, str), 0)][adr2, dentrynode(dentrykey(m, str0), m2)][adr3, inodenode(inodekey(m), md, true, m4, n0, m0)] [adr4, inodenode(inodekey(m1), md1, boolvar2, 0, m11, m6) ], (ri0 -- dentrykey(m, str))[dentrykey(m, str0), adr2][inodekey(m), adr3][inodekey(m1), adr4], ro ++ key, fi, fo, (((log0 + adr1 ') + adr2 ') + adr3 ') + adr4 ') ∧ file-node-cons (fs0[adr1, dentrynode(dentrykey(m, str), 0)][adr2, dentrynode(dentrykey(m, str0), m2)][adr3, inodenode(inodekey(m), md, true, m4, n0, m0)] [adr4, inodenode(inodekey(m1), md1, boolvar2, 0, m11, m6) ], (ri0 -- dentrykey(m, str))[dentrykey(m, str0), adr2][inodekey(m), adr3][inodekey(m1), adr4]) ∧ orphans-cons (fs0[adr1, dentrynode(dentrykey(m, str), 0)][adr2, dentrynode(dentrykey(m, str0), m2)][adr3, inodenode(inodekey(m), md, true, m4, n0, m0)] [adr4, inodenode(inodekey(m1), md1, boolvar2, 0, m11, m6) ], (ri0 -- dentrykey(m, str))[dentrykey(m, str0), adr2][inodekey(m), adr3][inodekey(m1), adr4], ro ++ key)), adr1 = adr2, adr1 = adr3, adr1 = adr4, adr2 = adr3, adr2 = adr4, adr3 = adr4, m = 0, m1 = ROOT_INO, m1 = 0, mkdentry(str, m2) = mkdentry(str0, m1), adr4 ∈ (ri0 -- dentrykey(m, str))[dentrykey(m, str0), adr2][inodekey(m), adr3], adr2 ∈ ri0 -- dentrykey(m, str), adr4 ∈ fs0, adr3 ∈ fs0, adr2 ∈ fs0, adr1 ∈ fs0, inodekey(m) ∈ ro, adr3 ∈ (ri0 -- dentrykey(m, str))[dentrykey(m, str0), adr2]

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

Additional information