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Proof step 87 from proof read-loop-term (previous step)

isdir ↔ false, VFS_PAGE_SIZE = n7 + (n0 + n6) % VFS_PAGE_SIZE, buf0 = buf, buf1 = buf0, err = err0, ino0 = n6, inode = mkinode(m, md, boolvar, m0, m1, m2), n = ino0, n1 = n5 + n0 + n6, n0 + n6 < m2, afs-cons(dirs, files), m ∈ files, n6 ≤ # buf, n5 + n6 ≤ # buf, n5 + n0 + n6 ≥ n0 + n6, m2 ≥ n0 + n6, ⌊err0⌋ , ∀ 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 ⊦ ⟪while err = ESUCCESS ∧ ¬ isdir do vfs_read_block#(n0, n1, inode, dirs, files, asynced; buf1, n, isdir, err)⟫ true, m2 = n0 + n6, n5 = 0, n7 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 88:
VFS_PAGE_SIZE = n7 + (n0 + n6) % VFS_PAGE_SIZE, inode = mkinode(m, md, boolvar, m0, m1, m2), ¬ isdir, n1 = n5 + n0 + n6, m2 ≠ n0 + n6, n5 ≠ 0, n7 ≠ 0, n0 + n6 < m2, afs-cons(dirs, files), m ∈ files, n5 + n6 ≤ # buf, n6 ≤ # buf, ⌊err0⌋ , ∀ 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 ⊦ ⟪while err0 = ESUCCESS ∧ ¬ isdir do vfs_read_block#(n0, n1, inode, dirs, files, asynced; buf, n6, isdir, err0)⟫ true

Rule argument

Additional information

Used simplifier rules: 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)% ⊦ m < n → m ≤ n; (s)% ⊦ n ≥ m ↔ m ≤ n; (s)