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Proof step 99 from proof read-loop-term (previous step)

buf = mkbuf(VFS_PAGE_SIZE), buf0 = buf1, err = ESUCCESS, ino = (ino2 + ino0) % VFS_PAGE_SIZE, ino0 = n, ino1 = n5 + n0 + n, ino2 = n0, inode = mkinode(m, md, boolvar, m0, m1, m2), ¬ isdir, n1 = n5 + n0 + n, pageno = (ino2 + ino0) / VFS_PAGE_SIZE, afs-cons(dirs, files), m ∈ files, n5 + n ≤ # buf1, n ≤ # buf1, n0 + n ≤ m2, ∀ n2, n3, n4, err, inode, m, md, boolvar, m0, m1, m2, isdir, dirs, files, buf, asynced. n2 - n3 + n4 < n5 → err = ESUCCESS ∧ inode = mkinode(m, md, boolvar, m0, m1, m2) ∧ ¬ isdir ∧ afs-cons(dirs, files) ∧ m ∈ files ∧ n4 ≤ # buf ∧ n3 + n4 ≤ m2 ∧ n3 + n4 ≤ n2 ∧ n2 ≤ # buf + n3 → ⟪vfs_read_block#(n3, n2, inode, dirs, files, asynced; buf, n4, isdir, err); while err = ESUCCESS ∧ ¬ isdir do vfs_read_block#(n3, n2, inode, dirs, files, asynced; buf, n4, isdir, err)⟫ true ⊦ VFS_PAGE_SIZE = 0, ino1 ≥ ino2 + ino0 ∧ VFS_PAGE_SIZE ≥ ino ∧ inode.size ≥ ino2 + ino0

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ mkinode(m, md, boolvar, m0, m1, m2).size = m2; (s)%n ≠ 0 ⊦ m % n ≤ n; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m ≤ m + n; (s)% ⊦ m + n ≤ m + n0 ↔ n ≤ n0; (s)% ⊦ n ≥ m ↔ m ≤ n; (s)% ⊦ VFS_PAGE_SIZE ≠ 0; (s)