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Proof step 27 from proof inv-read-buf (previous step)

# buf1 = EB_PAGE_SIZE, # lpt = # avol, LEB_SIZE = n0 + # buf2, avol[m3] = mapped(buf2), m3 < # avol, ebm-vol-inv(avol), wbuf-cons(mkwbuf(buf1, m5, m4), mapped(buf2), rofs), (m0 ≤ m5 ⊃ m5 - m0;0) ≤ # buf, m5 ≤ LEB_SIZE, m0 ≤ m5 + m4, m5 ≤ m0 + n1 + (m0 ≤ m5 ⊃ m5 - m0;0), m0 + n1 + (m0 ≤ m5 ⊃ m5 - m0;0) ≤ LEB_SIZE, n1 + (m0 ≤ m5 ⊃ m5 - m0;0) ≤ # buf, # buf2 ≤ LEB_SIZE, (m0 ≤ m5 ⊃ m5 - m0;0) + min(n1, m4 - (m0 ≤ m5 ⊃ 0;m0 - m5)) ≤ # buf, ¬ m0 ≤ m5 → m5 ≤ m0 ⊦ (m0 ≤ m5 ⊃ 0;m0 - m5) ≤ m4 ∧ (m0 ≤ m5 ⊃ 0;m0 - m5) + min(n1, m4 - (m0 ≤ m5 ⊃ 0;m0 - m5)) ≤ EB_PAGE_SIZE

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Rule argument

fma: (m0 ≤ m5 ⊃ 0;m0 - m5) ≤ m4

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)%n ≤ m ⊦ (m - n) + m0 ≤ n0 ↔ m + m0 ≤ n0 + n; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ n ≤ n0 → (m + (n0 - n)) + n = m + n0; (s)% ⊦ m ≤ m + n; (s)%n0 ≤ n ⊦ n - n0 ≤ m ↔ n ≤ m + n0; (s)% ⊦ n + 0 = n; (s)% ⊦ 0 ≤ m; (s)% ⊦ m ≤ n → (n - m = 0 ↔ n = m); (s)% ⊦ m ≤ n → (n ≤ m ↔ m = n); (s)% ⊦ m ≤ n → (n < m ↔ false); (s)%n0 ≤ n ⊦ m < n - n0 ↔ m + n0 < n; (s) Used formulas: (m0 ≤ m5 ⊃ 0;m0 - m5) ≤ m4