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Proof step 7 from proof eq-io-truncate (previous step)

⟨afs_truncate_internal#(n, pageno1; inode, buf-opt, pageno0, pageno, boolvar, err, dirs, files; asynced)⟩ ( inode = inode0 ∧ buf-opt = buf-opt1 ∧ pageno0 = pageno2 ∧ pageno = pageno4 ∧ (boolvar ↔ boolvar1) ∧ err = err1 ∧ dirs = dirs2 ∧ files = files2 ∧ (asynced ↔ asynced1)), boolvar1 ↔ boolvar0, asynced1 ↔ asynced0, buf-opt1 = buf-opt0, dirs = dirs1, dirs2 = dirs0, err1 = err0, files = files1, files2 = files0, inode0 = p_inode, n = n0, pageno = 0, pageno0 = 0, pageno1 = pageno3, pre-truncate(inode, n, pageno1, buf-opt, dirs, files) ⊦ ⟨afs_truncate#(n0, pageno3; buf-opt, inode, boolvar, err, dirs1, files1, boolvar2)⟩ (buf-opt = buf-opt0 ∧ inode = p_inode ∧ (boolvar ↔ boolvar0) ∧ err = err0 ∧ dirs1 = dirs0 ∧ files1 = files0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
⟨afs_truncate_internal#(n0, inode.size / VFS_PAGE_SIZE; inode, buf-opt, pageno0, pageno, boolvar, err, dirs1, files1; asynced)⟩ ( inode = p_inode ∧ buf-opt = buf-opt0 ∧ pageno0 = pageno2 ∧ pageno = pageno4 ∧ (boolvar ↔ boolvar0) ∧ err = err0 ∧ dirs1 = dirs0 ∧ files1 = files0 ∧ (asynced ↔ asynced1)), inode.nlink = files1[inode.ino].nlink, inode.nsubdirs = 0, pageno = 0, pageno0 = 0, inode.ino ∈ files1, ¬ inode.directory, buf-opt.some? → # buf-opt.buf = VFS_PAGE_SIZE ⊦ ⟨afs_truncate#(n0, inode.size / VFS_PAGE_SIZE; buf-opt, inode, boolvar, err, dirs1, files1, boolvar2)⟩ (buf-opt = buf-opt0 ∧ inode = p_inode ∧ (boolvar ↔ boolvar0) ∧ err = err0 ∧ dirs1 = dirs0 ∧ files1 = files0)

Rule argument

Additional information

Used simplifier rules: ⊦ valid-file-ino(ino, dirs, files) ↔ ino ∈ files; (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)%⊦ pre-truncate(inode, n, pageno, buf-opt, dirs, files) ↔ valid-file-inode(inode, dirs, files) ∧ pageno = inode.size / VFS_PAGE_SIZE ∧ (buf-opt.some? → # buf-opt.buf = VFS_PAGE_SIZE); (s)