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Proof step 18 from proof write-loop-0 (previous step)

VFS_PAGE_SIZE = n0 + (ino2 + ino5) % VFS_PAGE_SIZE, buf = mkbuf(VFS_PAGE_SIZE), buf0 = buf1, err = ESUCCESS, ino = (ino2 + ino5) % VFS_PAGE_SIZE, ino0 = ino5, n = min(ino1 - ino2 + ino5, n0), pageno = (ino2 + ino5) / VFS_PAGE_SIZE, ino2 + ino5 ≤ ino1, ino1 ≥ ino2 + ino5, ino5 = 0 → files = files1 ⊦ [afs_readpage#(inode, pageno, dirs, files, asynced; buf, err); if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then {buf := copy(buf0, ino0, buf, ino, n); afs_writepage#(inode, pageno, buf, dirs; err, files; asynced)}; n := min(ino1 - ino2 + ino5, n0); if err = ESUCCESS then ino5 := ino5 + n] (ino5 = 0 → files = files1), VFS_PAGE_SIZE = 0, min(ino1 - ino2 + ino5, n0) = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
VFS_PAGE_SIZE = n0 + (ino2 + ino5) % VFS_PAGE_SIZE, buf = mkbuf(VFS_PAGE_SIZE), err = ESUCCESS, min(ino1 - ino2 + ino5, n0) ≠ 0, ino2 + ino5 ≤ ino1, ino5 = 0 → files = files1 ⊦ [afs_readpage#(inode, (ino2 + ino5) / VFS_PAGE_SIZE, dirs, files, asynced; buf, err); if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then {buf := copy(buf0, ino5, buf, (ino2 + ino5) % VFS_PAGE_SIZE, min(ino1 - ino2 + ino5, n0)); afs_writepage#(inode, (ino2 + ino5) / VFS_PAGE_SIZE, buf, dirs; err, files; asynced)}; n := min(ino1 - ino2 + ino5, n0); if err = ESUCCESS then ino5 := ino5 + n] (ino5 = 0 → files = files1)

Rule argument

Additional information

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