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Proof step 15 from proof read-loop-term (previous step)

err = ESUCCESS, ¬ isdir, n1 = n5 + n0 + n, afs-cons(dirs, files), m ∈ files, n ≤ # buf, n0 + n ≤ m2, n0 + n ≤ n1, n1 ≤ # buf + n0, ∀ 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_read_block#(n0, n1, mkinode(m, md, boolvar, m0, m1, m2), dirs, files, asynced; buf, n, isdir, err); inode := mkinode(m, md, boolvar, m0, m1, m2); while err = ESUCCESS ∧ ¬ isdir do vfs_read_block#(n0, n1, inode, dirs, files, asynced; buf, n, isdir, err)⟫ true

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 16:
err = ESUCCESS, ¬ isdir, n1 = n5 + n0 + n, afs-cons(dirs, files), m ∈ files, n0 + n ≤ m2, n ≤ # buf, n5 + n ≤ # buf, ∀ 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_read_block#(n0, n5 + n0 + n, mkinode(m, md, boolvar, m0, m1, m2), dirs, files, asynced; buf, n, isdir, err); inode := mkinode(m, md, boolvar, m0, m1, m2); while err = ESUCCESS ∧ ¬ isdir do vfs_read_block#(n0, n1, inode, dirs, files, asynced; buf, n, isdir, err)⟫ true

Rule argument

Additional information

Used simplifier rules: ⊦ m ≤ m + n; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m + n ≤ m + n0 ↔ n ≤ n0; (s)