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Proof step 111 from proof fsync-pages-others-unchanged (previous step)

pcache[datakey(m, n)] = mkpentry(true, buf0), buf = pcache[datakey(m, n)].page, err = ESUCCESS, inode = mkinode(m, md, boolvar, m0, m1, m2), pageno = n, n * VFS_PAGE_SIZE < m2, pre-writepage(inode, pageno, buf, dirs, files), datakey(m, n) ∈ pcache, ∀ ino. ino ≠ m ∧ ino ∈ files0 → mkfile(files[ino].size, files[ino].meta, files[ino].nlink, files[ino].content ⊕ mkcontent(ino, pcache)) = mkfile(files0[ino].size, files0[ino].meta, files0[ino].nlink, files0[ino].content ⊕ mkcontent(ino, pcache0)) ∧ ino ∈ files ⊦ [fail#(; ; err); asynced := ?; if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced1); if err = ESUCCESS then {asynced := false; pcache_set_status#(m, n, asynced; err, pcache)}; n := n + 1] ∀ ino. ino ≠ m ∧ ino ∈ files0 → mkfile(files[ino].size, files[ino].meta, files[ino].nlink, files[ino].content ⊕ mkcontent(ino, pcache)) = mkfile(files0[ino].size, files0[ino].meta, files0[ino].nlink, files0[ino].content ⊕ mkcontent(ino, pcache0)) ∧ ino ∈ files

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 112:
# buf0 = VFS_PAGE_SIZE, pcache[datakey(m, n)] = mkpentry(true, buf0), n * VFS_PAGE_SIZE < m2, m ∈ files, datakey(m, n) ∈ pcache, ∀ ino. ino ≠ m ∧ ino ∈ files0 → mkfile(files[ino].size, files[ino].meta, files[ino].nlink, files[ino].content ⊕ mkcontent(ino, pcache)) = mkfile(files0[ino].size, files0[ino].meta, files0[ino].nlink, files0[ino].content ⊕ mkcontent(ino, pcache0)) ∧ ino ∈ files ⊦ [fail#(; ; err); asynced := ?; if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced1); if err = ESUCCESS then {asynced := false; pcache_set_status#(m, n, asynced; err, pcache)}; n := n + 1] ∀ ino. ino ≠ m ∧ ino ∈ files0 → mkfile(files[ino].size, files[ino].meta, files[ino].nlink, files[ino].content ⊕ mkcontent(ino, pcache)) = mkfile(files0[ino].size, files0[ino].meta, files0[ino].nlink, files0[ino].content ⊕ mkcontent(ino, pcache0)) ∧ ino ∈ files

Rule argument

Additional information

Used simplifier rules: ⊦ mkpentry(boolvar, buf).page = buf; (s)% ⊦ valid-file-ino(ino, dirs, files) ↔ ino ∈ files; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)%⊦ pre-writepage(inode, n, buf, dirs, files) ↔ valid-file-ino(inode.ino, dirs, files) ∧ # buf = VFS_PAGE_SIZE; (s)