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Proof step 292 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), m0 = n2 + m6, m4 < EB_PAGE_SIZE, m2 < # avol1, m6 < m0, EB_PAGE_SIZE + m6 < m0 + min(n1, m4 - n2), 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 + n1, n1 ≤ # buf3, m0 + n1 ≤ LEB_SIZE, # buf ≤ LEB_SIZE, m6 ≤ # buf, min(n1, m4 - n2) ≤ # buf3, m6 ≤ m0, ¬ rofs → # buf = m6 ⊦ m4 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 293:
# avol0 = # avol1, # lpt0 = # avol1, # buf2 = EB_PAGE_SIZE, LEB_SIZE = n0 + # buf, avol0[m2] = mapped(buf), avol1[m2] = mapped(buf1), m4 + 1 < n2 + min(n1, m4 - n2), n2 < EB_PAGE_SIZE, m2 < # avol1, m4 < EB_PAGE_SIZE, EB_PAGE_SIZE < n2 + min(n1, m4 - n2), m4 < n2 + min(n1, m4 - n2), 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), min(n1, m4 - n2) ≤ # buf3, m6 ≤ # buf, # buf ≤ LEB_SIZE, (n2 + m6) + n1 ≤ LEB_SIZE, n1 ≤ # buf3, n2 ≤ m4, m6 ≤ LEB_SIZE, ¬ rofs → # buf = m6 ⊦ m4 = 0, min(n1, m4 - n2) = 1, min(n1, m4 - n2) = 0, n2 = 0

Rule argument

Additional information

Used simplifier rules: ⊦ 1 < m ↔ ¬(m = 0 ∨ m = 1); (s)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic% ⊦ m +1 = m + 1; (s)% ⊦ m < n → n ≠ 0; (s)%transitivity: ⊦ n < n0 ∧ n0 < n1 → n < n1; (forward) from specification oelem[nat-set]%lf: ⊦ m < n ∧ n < n0 → m +1 < n0; (forward) from specification nat-basic%fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat%lf-02: ⊦ m < n ∧ m = n0 → n0 < n; (forward) from specification nat-basic%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m < m + n ↔ n ≠ 0; (s)% ⊦ m + n < m + n0 ↔ n < n0; (s)% ⊦ m + n ≤ m + n0 ↔ n ≤ n0; (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 ≤ n; (s)