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Proof step 48 from proof write-loop-err (previous step)

VFS_PAGE_SIZE = n0 + (ino2 + ino0) % VFS_PAGE_SIZE, files[m] = mkfile(m3, md0, m4, content), buf = copy(buf0, ino0, content[(ino2 + ino0) / VFS_PAGE_SIZE], (ino2 + ino0) % VFS_PAGE_SIZE, min(ino1 - ino2 + ino0, n0)), err = ESUCCESS, inode = mkinode(m, md, boolvar, m0, m1, m2), pageno = (ino2 + ino0) / VFS_PAGE_SIZE, pre-writepage(inode, pageno, buf, dirs, files), (ino2 + ino0) / VFS_PAGE_SIZE ∈ content, m ∈ files, ino2 + ino0 ≤ ino1, ino0 + min(ino1 - ino2 + ino0, n0) ≤ # buf0, (ino2 + ino0) % VFS_PAGE_SIZE + min(ino1 - ino2 + ino0, n0) ≤ # content[(ino2 + ino0) / VFS_PAGE_SIZE], ino1 ≥ ino2 + ino0 ⊦ [fail#(; ; err); 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 49:
# content[(ino2 + ino0) / VFS_PAGE_SIZE] = VFS_PAGE_SIZE, VFS_PAGE_SIZE = n0 + (ino2 + ino0) % VFS_PAGE_SIZE, files[m] = mkfile(m3, md0, m4, content), min(ino1 - ino2 + ino0, n0) ≠ 0, m ∈ files, (ino2 + ino0) / VFS_PAGE_SIZE ∈ content, (ino2 + ino0) % VFS_PAGE_SIZE + min(ino1 - ino2 + ino0, n0) ≤ VFS_PAGE_SIZE, ino0 + min(ino1 - ino2 + ino0, n0) ≤ # buf0, ino2 + ino0 ≤ ino1 ⊦ [fail#(; ; err); asynced := ?; if err = ESUCCESS then ino3 := ino0 + min(ino1 - ino2 + ino0, n0)] (err = ESUCCESS ∨ ⌊err⌋ )

Rule argument

Additional information

Used simplifier rules: ⊦ # copy(buf, m, buf0, m0, n) = # buf0; (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)% ⊦ n ≥ m ↔ m ≤ n; (s)% ⊦ VFS_PAGE_SIZE ≠ 0; (s)