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Proof step 19 from proof refine-read (previous step)

# avol0 = # lpt + m6, avol0[m6 + m8] = mapped(buf1), avol0[0] = mapped(buf2), avol0[m3] = mapped(buf3), avol0[m2] = mapped(buf4), buf = buf5, err = err0, err = ESUCCESS, avol0[m6 + m8].mapped?, m6 + m8 < # avol0, m8 < # lpt, disk-layout(mksb(adr, m1, m2, m3, m4, m5, m6), # lpt), ebm-vol-inv(subarray(avol0, m6, # lpt)), ebm-vol-inv(avol0), is-encoded(mksb(adr, m1, m2, m3, m4, m5, m6), buf2), is-encoded(lpt, lebs(avol0, m5, lptlebs(# lpt, LEB_SIZE))), is-encoded(log, buf4), is-encoded-pad(orphans, m4, buf3), mapped-full?(avol0, m5, lptlebs(# lpt, LEB_SIZE)), m7 + n1 ≤ #(avol0[m6 + m8].data + mkempbuf(LEB_SIZE - # avol0[m6 + m8].data)), n2 + n1 ≤ # buf, n2 + n1 ≤ # buf5, m7 + n1 ≤ LEB_SIZE, m6 ≤ # avol0, LEB_SIZE ≥ # avol0[m6 + m8].data, logoff ≠ LEB_SIZE → # buf4 = logoff, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟨apersistence_io_read#(m8, m7, n2, n1, adr, m1, log, subarray(avol0, m6, # lpt), lpt, orphans; buf5; err1)⟩ (copy(avol0[m6 + m8].data + mkempbuf(LEB_SIZE - # avol0[m6 + m8].data), m7, buf, n2, n1) = buf5 ∧ err = err1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 20:
# avol0 = # lpt + m6, avol0[m6 + m8] = mapped(buf1), avol0[m2] = mapped(buf4), avol0[m3] = mapped(buf3), avol0[0] = mapped(buf2), buf = buf5, m8 < # lpt, disk-layout(mksb(adr, m1, m2, m3, m4, m5, m6), # lpt), ebm-vol-inv(avol0), ebm-vol-inv(subarray(avol0, m6, # lpt)), is-encoded(log, buf4), is-encoded(lpt, lebs(avol0, m5, lptlebs(# lpt, LEB_SIZE))), is-encoded(mksb(adr, m1, m2, m3, m4, m5, m6), buf2), is-encoded-pad(orphans, m4, buf3), mapped-full?(avol0, m5, lptlebs(# lpt, LEB_SIZE)), # buf1 ≤ LEB_SIZE, m6 ≤ # avol0, m7 + n1 ≤ LEB_SIZE, n2 + n1 ≤ # buf5, m7 + n1 ≤ # buf1 + (LEB_SIZE - # buf1), logoff ≠ LEB_SIZE → # buf4 = logoff ⊦ ⟨apersistence_io_read#(m8, m7, n2, n1, adr, m1, log, subarray(avol0, m6, # lpt), lpt, orphans; buf5; err1)⟩ (copy(avol0[m6 + m8].data + mkempbuf(LEB_SIZE - # avol0[m6 + m8].data), m7, buf, n2, n1) = buf5 ∧ ESUCCESS = err1)

Rule argument

Additional information

Used simplifier rules: ⊦ mapped(buf).data = buf; (s)% ⊦ mapped(buf) = mapped(buf0) ↔ buf = buf0; (s)% ⊦ ¬ ⌊ESUCCESS⌋ ; (s)% ⊦ aleb.mapped? ↔ (∃ buf. aleb = mapped(buf)); (as)% ⊦ 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)% ⊦ n ≥ m ↔ m ≤ n; (s)