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Proof step 43 from proof eq-io-evict (previous step)

⟨dirs := dirs -- ino⟩ (ESUCCESS = err0 ∧ dirs = dirs0 ∧ files = files0), dirs[ino].nlink = 0, asynced ↔ asynced0, dirs1[m] = mkdir(m5, md1, m6, m7, entries), files1[m] = mkfile(m3, md0, m4, content), dirs = dirs1, files = files1, ino = inode.ino, inode = mkinode(m, md, boolvar, m0, m1, m2), pre-evict(inode, dirs, files), ino ∈ dirs, m ∈ dirs1, m0 = m6 ∧ m2 = m5 ∧ m1 = m7 ∧ boolvar ∨ m ∈ files1 ∧ m0 = m4 ∧ m1 = 0 ∧ ¬ boolvar ⊦ m = ROOT_INO, m6 = 0, ESUCCESS = err0 ∧ dirs1 = dirs0 ∧ files1 = files0

Heuristic symbolic execution applied rule assign left

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)%⊦ pre-evict(inode, dirs, files) ↔ valid-wb-inode(inode, dirs, files) ∧ inode.ino ≠ ROOT_INO; (s)%⊦ valid-wb-inode(inode, dirs, files) ↔ valid-dir-inode(inode, dirs, files) ∨ valid-file-inode(inode, dirs, files); (s)%⊦ valid-dir-inode(inode, dirs, files) ↔ valid-dir-ino(inode.ino, dirs, files) ∧ inode.nlink = dirs[inode.ino].nlink ∧ inode.size = dirs[inode.ino].size ∧ inode.nsubdirs = dirs[inode.ino].nsubdirs ∧ inode.directory; (s)% ⊦ valid-dir-ino(ino, dirs, files) ↔ ino ∈ dirs; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).nlink = m0; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).size = m2; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).nsubdirs = m1; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).directory ↔ boolvar; (s)%⊦ valid-file-inode(inode, dirs, files) ↔ valid-file-ino(inode.ino, dirs, files) ∧ inode.nlink = files[inode.ino].nlink ∧ inode.nsubdirs = 0 ∧ ¬ inode.directory; (s)% ⊦ valid-file-ino(ino, dirs, files) ↔ ino ∈ files; (s)% ⊦ mkdir(m, md, m0, m1, entries).nlink = m0; (s)