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Proof step 272 from proof refine-read-buf (previous step)

# avol0 = # avol1, # lpt0 = # avol1, # buf2 = EB_PAGE_SIZE, # buf3 = n5 + n1, m0 + n3 + n2 = LEB_SIZE, n1 + n5 = n4 + min(n1, n2), avol0[m2] = mapped(buf4), avol1[m2] = mapped(buf4 + subarray(buf2, 0, n2 + n0)), m0 = n0 + # buf4, m0 < EB_PAGE_SIZE + # buf4, m2 < # avol1, n2 + n0 < EB_PAGE_SIZE, # buf4 < m0, awbuf-inv(avol1, buffered(m2)), ebm-vol-inv(avol0), is-aligned(# buf4, EB_PAGE_SIZE), n1 ≤ n2 + n3, m0 + min(n1, n2) ≤ EB_PAGE_SIZE + # buf4, # buf4 ≤ LEB_SIZE, # buf4 ≤ m0 + n1, min(n1, n2) ≤ n1 + n5, # buf4 ≤ m0 ⊦ subarray(buf2, n0, min(n1, n2)) + subarray(mkempbuf(n1) + subarray(buf3, n1, n5), min(n1, n2), n4) = subarray(subarray(buf2, 0, n2 + n0) + mkempbuf(n3), n0, n1) + subarray(buf3, n1, n5), EB_PAGE_SIZE = 1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 273:
# avol0 = # avol1, # lpt0 = # avol1, # buf2 = EB_PAGE_SIZE, # buf3 = n5 + n1, (n0 + # buf4) + n3 + n2 = LEB_SIZE, n1 + n5 = n4 + min(n1, n2), avol0[m2] = mapped(buf4), avol1[m2] = mapped(buf4 + subarray(buf2, 0, n2 + n0)), n0 < EB_PAGE_SIZE, m2 < # avol1, n2 + n0 < EB_PAGE_SIZE, awbuf-inv(avol1, buffered(m2)), ebm-vol-inv(avol0), is-aligned(# buf4, EB_PAGE_SIZE), n1 ≤ n2 + n3, n0 + min(n1, n2) ≤ EB_PAGE_SIZE, # buf4 ≤ LEB_SIZE, min(n1, n2) ≤ n1 + n5 ⊦ subarray(buf2, n0, min(n1, n2)) + subarray(mkempbuf(n1) + subarray(buf3, n1, n5), min(n1, n2), n4) = subarray(subarray(buf2, 0, n2 + n0) + mkempbuf(n3), n0, n1) + subarray(buf3, n1, n5), EB_PAGE_SIZE = 1, n0 = 0

Rule argument

Additional information

Used simplifier rules: lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic% ⊦ m + n < m + n0 ↔ n < n0; (s)% ⊦ m < m + n ↔ n ≠ 0; (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)