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Proof step 12 from proof write-loop-0 (previous step)

err = ESUCCESS, ino = (ino2 + ino0) % VFS_PAGE_SIZE, ino0 = ino5, ino1 = ino4, ino2 = ino3, ¬ isdir, n = min(ino1 - ino2 + ino0, VFS_PAGE_SIZE - ino), pageno = (ino2 + ino0) / VFS_PAGE_SIZE, VFS_PAGE_SIZE ≥ ino, ino1 ≥ ino2 + ino0, ino5 = 0 → files = files1 ⊦ [vfs_writepage#(inode, pageno, buf, ino0, ino, n, dirs; err, files, asynced); if err = ESUCCESS then ino0 := ino0 + n] (ino0 = 0 → files = files1), VFS_PAGE_SIZE = 0, n = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
err = ESUCCESS, min(ino1 - ino2 + ino5, VFS_PAGE_SIZE - (ino2 + ino5) % VFS_PAGE_SIZE) ≠ 0, ino2 + ino5 ≤ ino1, ino5 = 0 → files = files1 ⊦ [vfs_writepage# (inode, (ino2 + ino5) / VFS_PAGE_SIZE, buf, ino5, (ino2 + ino5) % VFS_PAGE_SIZE, min(ino1 - ino2 + ino5, VFS_PAGE_SIZE - (ino2 + ino5) % VFS_PAGE_SIZE), dirs ; err, files, asynced); n := min(ino1 - ino2 + ino5, VFS_PAGE_SIZE - (ino2 + ino5) % VFS_PAGE_SIZE); if err = ESUCCESS then ino5 := ino5 + n] (ino5 = 0 → files = files1)

Rule argument

Additional information

Used simplifier rules: n ≠ 0 ⊦ m % n ≤ n; (s)% ⊦ n ≥ m ↔ m ≤ n; (s)% ⊦ VFS_PAGE_SIZE ≠ 0; (s)