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Proof step 16 from proof inv-read (previous step)

m6 + # lpt = # avol, avol[m6 + m8] = mapped(buf4), avol[m2] = mapped(buf3), avol[m3] = mapped(buf2), avol[0] = mapped(buf1), err0 = ESUCCESS, m8 < # lpt, disk-layout(mksb(adr, m1, m2, m3, m4, m5, m6), # lpt), ebm-vol-inv(avol), is-encoded(mksb(adr, m1, m2, m3, m4, m5, m6), buf1), is-encoded(lpt, lebs(avol, m5, lptlebs(# lpt, LEB_SIZE))), is-encoded(log, buf3), is-encoded-pad(orphans, m4, buf2), mapped-full?(avol, m5, lptlebs(# lpt, LEB_SIZE)), m7 + n1 ≤ LEB_SIZE, n2 + n1 ≤ # buf, logoff ≠ LEB_SIZE → # buf3 = logoff, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ (m7 + n1 ≤ #(avol[m6 + m8].data + mkempbuf(LEB_SIZE - # avol[m6 + m8].data)) ∧ n2 + n1 ≤ # buf) ∧ (avol[m6 + m8].mapped? ∧ m6 + m8 < # avol) ∧ LEB_SIZE ≥ # avol[m6 + m8].data ∧ avol[m6 + m8].mapped? ∧ m6 + m8 < # avol

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 17:
m6 + # lpt = # avol, avol[0] = mapped(buf1), avol[m3] = mapped(buf2), avol[m2] = mapped(buf3), avol[m6 + m8] = mapped(buf4), m7 + n1 < # buf4, LEB_SIZE < # buf4, m8 < # lpt, disk-layout(mksb(adr, m1, m2, m3, m4, m5, m6), # lpt), ebm-vol-inv(avol), is-encoded(log, buf3), is-encoded(lpt, lebs(avol, m5, lptlebs(# lpt, LEB_SIZE))), is-encoded(mksb(adr, m1, m2, m3, m4, m5, m6), buf1), is-encoded-pad(orphans, m4, buf2), mapped-full?(avol, m5, lptlebs(# lpt, LEB_SIZE)), m7 + n1 ≤ # buf4 + (LEB_SIZE - # buf4), n2 + n1 ≤ # buf, m7 + n1 ≤ LEB_SIZE, logoff ≠ LEB_SIZE → # buf3 = logoff ⊦

Rule argument

Additional information

Used simplifier rules: fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat% ⊦ ¬ n + (m - n) < m; (s)% ⊦ m < n → n ≠ 0; (s)%fle: ⊦ 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)% ⊦ mapped(buf).mapped?; (s)% ⊦ mapped(buf).data = buf; (s)% ⊦ n ≥ m ↔ m ≤ n; (s)% ⊦ m = m0 + n0 ∧ n < n0 → m0 + n < m; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%append-a: ⊦ (buf + buf0) + buf1 = buf + buf0 + buf1; from specification array-splice[buffer]% ⊦ # mkempbuf(n) = n; (s)% ⊦ #(buf + buf0) = # buf + # buf0; (s)% ⊦ ¬ ⌊ESUCCESS⌋ ; (s)