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Proof step 285 from proof refine-read-buf (previous step)

# avol0 = # avol1, # lpt0 = # avol1, # buf2 = EB_PAGE_SIZE, LEB_SIZE = n0 + # buf, avol0[m2] = mapped(buf), avol1[m2] = mapped(buf1), m2 < # avol1, m4 < EB_PAGE_SIZE, abs(avol1, buffered(m2), mkwbuf(buf2, m6, m4), avol0, rofs), awbuf-inv(avol1, buffered(m2)), ebm-vol-inv(avol0), is-aligned(m6, EB_PAGE_SIZE), m6 ≤ # buf, # buf ≤ LEB_SIZE, m0 + n ≤ LEB_SIZE, n ≤ # buf3, m6 ≤ m0 + n, m0 ≤ m6 + m4, m6 ≤ LEB_SIZE, ¬ rofs → # buf = m6, ¬ m0 ≤ m6 → m6 ≤ m0 ⊦ (m0 ≤ m6 ⊃ 0;m0 - m6) + min(n - (m0 ≤ m6 ⊃ m6 - m0;0), m4 - (m0 ≤ m6 ⊃ 0;m0 - m6)) ≤ EB_PAGE_SIZE ∧ (m0 ≤ m6 ⊃ m6 - m0;0) + min(n - (m0 ≤ m6 ⊃ m6 - m0;0), m4 - (m0 ≤ m6 ⊃ 0;m0 - m6)) ≤ # buf3 ∧ (m0 ≤ m6 ⊃ m6 - m0;0) ≤ n ∧ (m0 ≤ m6 ⊃ 0;m0 - m6) ≤ m4

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Proof step 286:
# buf2 = EB_PAGE_SIZE, # lpt0 = # avol1, # avol0 = # avol1, LEB_SIZE = n0 + # buf, avol1[m2] = mapped(buf1), avol0[m2] = mapped(buf), m4 < EB_PAGE_SIZE, m2 < # avol1, abs(avol1, buffered(m2), mkwbuf(buf2, m6, m4), avol0, rofs), awbuf-inv(avol1, buffered(m2)), ebm-vol-inv(avol0), is-aligned(m6, EB_PAGE_SIZE), m6 ≤ LEB_SIZE, m0 ≤ m6 + m4, m6 ≤ m0 + n, n ≤ # buf3, m0 + n ≤ LEB_SIZE, # buf ≤ LEB_SIZE, m6 ≤ # buf, (m0 ≤ m6 ⊃ m6 - m0;0) ≤ n, ¬ m0 ≤ m6 → m6 ≤ m0, ¬ rofs → # buf = m6 ⊦ (m0 ≤ m6 ⊃ 0;m0 - m6) + min(n - (m0 ≤ m6 ⊃ m6 - m0;0), m4 - (m0 ≤ m6 ⊃ 0;m0 - m6)) ≤ EB_PAGE_SIZE ∧ (m0 ≤ m6 ⊃ m6 - m0;0) + min(n - (m0 ≤ m6 ⊃ m6 - m0;0), m4 - (m0 ≤ m6 ⊃ 0;m0 - m6)) ≤ # buf3 ∧ (m0 ≤ m6 ⊃ m6 - m0;0) ≤ n ∧ (m0 ≤ m6 ⊃ 0;m0 - m6) ≤ m4

Rule argument

fma: (m0 ≤ m6 ⊃ m6 - m0;0) ≤ n

Additional information

Used simplifier rules: ⊦ m ≤ n ↔ ¬ n < m; (ss)% ⊦ m < n → (n ≤ m ↔ false); (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ ¬ m < 0; (s)% ⊦ m ≤ n → (n - m = 0 ↔ n = m); (s)% ⊦ m ≠ n → (m ≤ n ↔ m < n); (s)% ⊦ n ≠ n0 → (n < n0 ↔ ¬ n0 < n); (ss)% ⊦ m < n → ¬ n < m; (s)% ⊦ m ≤ n → (n < m ↔ false); (s)%n0 ≤ n ⊦ m < n - n0 ↔ m + n0 < n; (s)%c: ⊦ m + n = n + m; from specification nat-basic Used formulas: (m0 ≤ m6 ⊃ m6 - m0;0) ≤ n