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

VFS_PAGE_SIZE = n0 + (ino2 + ino0) % VFS_PAGE_SIZE, buf = mkbuf(VFS_PAGE_SIZE), buf0 = buf1, err = ESUCCESS, ino = (ino2 + ino0) % VFS_PAGE_SIZE, n = min(ino1 - ino2 + ino0, n0), pageno = (ino2 + ino0) / VFS_PAGE_SIZE, ino2 + ino0 ≤ ino1, ino1 ≥ ino2 + ino0 ⊦ [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)}; if err = ESUCCESS then ino3 := ino0 + min(ino1 - ino2 + ino0, n0)] (err = ESUCCESS ∨ ⌊err⌋ ), VFS_PAGE_SIZE = 0, min(ino1 - ino2 + ino0, n0) = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
VFS_PAGE_SIZE = n0 + (ino2 + ino0) % VFS_PAGE_SIZE, buf = mkbuf(VFS_PAGE_SIZE), err = ESUCCESS, min(ino1 - ino2 + ino0, n0) ≠ 0, ino2 + ino0 ≤ ino1 ⊦ [afs_readpage#(inode, (ino2 + ino0) / 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, ino0, buf, (ino2 + ino0) % VFS_PAGE_SIZE, min(ino1 - ino2 + ino0, n0)); afs_writepage#(inode, (ino2 + ino0) / VFS_PAGE_SIZE, buf, dirs; err, files; asynced)}; if err = ESUCCESS then ino3 := ino0 + min(ino1 - ino2 + ino0, n0)] (err = ESUCCESS ∨ ⌊err⌋ )

Rule argument

Additional information

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