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Proof step 30 from proof refine-read-buf (previous step)

# buf2 = EB_PAGE_SIZE, # lpt0 = # avol1, # avol0 = # avol1, LEB_SIZE = n0 + # buf0, avol0[m2] = mapped(buf0), avol1[m2] = mapped(buf1), buf = copy(buf0 + mkempbuf(n0), m0, buf3, 0, n1 + (m0 ≤ m6 ⊃ m6 - m0;0)), m4 = n2 + (m0 ≤ m6 ⊃ 0;m0 - m6), m4 < EB_PAGE_SIZE, m2 < # avol1, (m0 ≤ m6 ⊃ 0;m0 - m6) < 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 ≤ LEB_SIZE, (m0 ≤ m6 ⊃ m6 - m0;0) ≤ # buf3, (m0 ≤ m6 ⊃ 0;m0 - m6) + min(n1, n2) ≤ EB_PAGE_SIZE, (m0 ≤ m6 ⊃ m6 - m0;0) + min(n1, n2) ≤ # buf3, 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, (m0 ≤ m6 ⊃ 0;m0 - m6) ≤ m4, # buf0 ≤ LEB_SIZE, ¬ m0 ≤ m6 → m6 ≤ m0, rofs → m6 ≤ # buf0, ¬ rofs → # buf0 = m6 ⊦ ⟨awbuf_read_buf#(m2, m0, n1 + (m0 ≤ m6 ⊃ m6 - m0;0), adr0, m5, plog0, avol1, lpt0, ns0, buffered(m2), rofs; buf3; err1)⟩ (copy(buf2, (m0 ≤ m6 ⊃ 0;m0 - m6), buf, (m0 ≤ m6 ⊃ m6 - m0;0), min(n1, n2)) = buf3 ∧ ESUCCESS = err1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 31:
# buf2 = EB_PAGE_SIZE, # lpt0 = # avol1, # avol0 = # avol1, LEB_SIZE = n0 + # buf0, avol0[m2] = mapped(buf0), avol1[m2] = mapped(buf1), buf = copy(buf0 + mkempbuf(n0), m0, buf3, 0, n1 + (m0 ≤ m6 ⊃ m6 - m0;0)), n2 + (m0 ≤ m6 ⊃ 0;m0 - m6) < EB_PAGE_SIZE, m2 < # avol1, (m0 ≤ m6 ⊃ 0;m0 - m6) < EB_PAGE_SIZE, abs(avol1, buffered(m2), mkwbuf(buf2, m6, n2 + (m0 ≤ m6 ⊃ 0;m0 - m6)), avol0, rofs), awbuf-inv(avol1, buffered(m2)), ebm-vol-inv(avol0), is-aligned(m6, EB_PAGE_SIZE), m6 ≤ LEB_SIZE, (m0 ≤ m6 ⊃ m6 - m0;0) ≤ # buf3, (m0 ≤ m6 ⊃ 0;m0 - m6) + min(n1, n2) ≤ EB_PAGE_SIZE, (m0 ≤ m6 ⊃ m6 - m0;0) + min(n1, n2) ≤ # buf3, m0 ≤ m6 + n2 + (m0 ≤ m6 ⊃ 0;m0 - m6), m6 ≤ m0 + n1 + (m0 ≤ m6 ⊃ m6 - m0;0), n1 + (m0 ≤ m6 ⊃ m6 - m0;0) ≤ # buf3, m0 + n1 + (m0 ≤ m6 ⊃ m6 - m0;0) ≤ LEB_SIZE, # buf0 ≤ LEB_SIZE, ¬ m0 ≤ m6 → m6 ≤ m0, rofs → m6 ≤ # buf0, ¬ rofs → # buf0 = m6 ⊦ ⟨awbuf_read_buf#(m2, m0, n1 + (m0 ≤ m6 ⊃ m6 - m0;0), adr0, m5, plog0, avol1, lpt0, ns0, buffered(m2), rofs; buf3; err1)⟩ (copy(buf2, (m0 ≤ m6 ⊃ 0;m0 - m6), buf, (m0 ≤ m6 ⊃ m6 - m0;0), min(n1, n2)) = buf3 ∧ ESUCCESS = err1)

Rule argument

Additional information

Used simplifier rules: lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m ≤ m + n; (s)