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Proof step 78 from proof write-loop-term (previous step)

⟪buf := buf1, n4 := n6 + min(n5, n7), n3 := n0, n2 := n5 + n0 + n6; while err = ESUCCESS ∧ ¬ isdir do vfs_write_block#(n3, inode, buf, n2, dirs; n4, isdir, err, files, asynced)⟫ (m ∈ files ∧ # links(m, dirs) = files[m].nlink), VFS_PAGE_SIZE = n7 + (n0 + n6) % VFS_PAGE_SIZE, files0[m] = mkfile(m1, md0, # links(m, dirs), content), err = ESUCCESS, files = files0 [m, mkfile (m1, md0, # links(m, dirs), content[(n0 + n6) / VFS_PAGE_SIZE, copy(buf1, n6, content[(n0 + n6) / VFS_PAGE_SIZE], (n0 + n6) % VFS_PAGE_SIZE, min(n5, n7))]) ], inode = mkinode(m, md, false, # links(m, dirs), 0, m2), ¬ isdir, n = n6 + min(n5, n7), n1 = n5 + n0 + n6, min(n5, n7) ≠ 0, afs-cons(dirs, files0), m ∈ files0, (n0 + n6) / VFS_PAGE_SIZE ∈ content, n6 + min(n5, n7) ≤ # buf1, (n0 + n6) % VFS_PAGE_SIZE + min(n5, n7) ≤ VFS_PAGE_SIZE, n5 + n6 ≤ # buf1, n6 ≤ # buf1, ∀ n2, n3, n4, files, m, m1, md0, dirs, content, inode, md, m2, isdir, buf, err, asynced. n2 - n3 + n4 < n5 → files[m] = mkfile(m1, md0, # links(m, dirs), content) ∧ inode = mkinode(m, md, false, # links(m, dirs), 0, m2) ∧ ¬ isdir ∧ afs-cons(dirs, files) ∧ m ∈ files ∧ n4 ≤ # buf ∧ n3 + n4 ≤ n2 ∧ n2 ≤ # buf + n3 → ⟪while err = ESUCCESS ∧ ¬ isdir do vfs_write_block#(n3, inode, buf, n2, dirs; n4, isdir, err, files, asynced)⟫ (m ∈ files ∧ # links(m, dirs) = files[m].nlink) ⊦ ⟪while err = ESUCCESS ∧ ¬ isdir do vfs_write_block#(n0, inode, buf1, n1, dirs; n, isdir, err, files, asynced)⟫ (m ∈ files ∧ # links(m, dirs) = files[m].nlink)

Heuristic symbolic execution applied rule assign left

And obtained the following new goals

Rule argument

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