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Proof step 288 from proof refine-read-buf (previous step)

# buf2 = EB_PAGE_SIZE, # lpt0 = # avol1, # avol0 = # avol1, LEB_SIZE = n0 + # buf, avol1[m2] = mapped(buf1), avol0[m2] = mapped(buf), n = n1 + (m0 ≤ m6 ⊃ m6 - m0;0), 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), (m0 ≤ m6 ⊃ m6 - m0;0) ≤ # buf3, 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(n1, m4 - (m0 ≤ m6 ⊃ 0;m0 - m6)) ≤ EB_PAGE_SIZE ∧ (m0 ≤ m6 ⊃ m6 - m0;0) + min(n1, m4 - (m0 ≤ m6 ⊃ 0;m0 - m6)) ≤ # buf3 ∧ (m0 ≤ m6 ⊃ 0;m0 - m6) ≤ m4

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 289:
# 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), (m0 ≤ m6 ⊃ m6 - m0;0) ≤ # buf3, m6 ≤ LEB_SIZE, m0 ≤ m6 + m4, m6 ≤ m0 + n1 + (m0 ≤ m6 ⊃ m6 - m0;0), n1 + (m0 ≤ m6 ⊃ m6 - m0;0) ≤ # buf3, m0 + n1 + (m0 ≤ m6 ⊃ m6 - m0;0) ≤ LEB_SIZE, # buf ≤ LEB_SIZE, m6 ≤ # buf, (m0 ≤ m6 ⊃ m6 - m0;0) + min(n1, m4 - (m0 ≤ m6 ⊃ 0;m0 - m6)) ≤ # buf3, ¬ m0 ≤ m6 → m6 ≤ m0, ¬ rofs → # buf = m6 ⊦ (m0 ≤ m6 ⊃ 0;m0 - m6) ≤ m4 ∧ (m0 ≤ m6 ⊃ 0;m0 - m6) + min(n1, m4 - (m0 ≤ m6 ⊃ 0;m0 - m6)) ≤ EB_PAGE_SIZE

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ n < min(n, m); (s)% ⊦ m + n < m + n0 ↔ n < n0; (s)% ⊦ m < m + n ↔ n ≠ 0; (s)% ⊦ m < n → n ≠ 0; (s)%fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m ≤ n ↔ ¬ n < m; (ss)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m ≤ m + n; (s)