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Proof step 73 from proof refine-remap (previous step)

# avol0 = # lpt + m5, avol0[m1] = mapped(buf1), avol0[m2] = mapped(buf0), avol0[0] = mapped(buf), avol = subarray(avol0, m5, # lpt), err = err1, m6 < # lpt, disk-layout(mksb(adr, m7, m1, m2, m3, m4, m5), # lpt), ebm-vol-inv(avol0), ebm-vol-inv(subarray(avol0, m5, # lpt)), is-encoded(log, buf1), is-encoded(lpt, lebs(avol0, m4, lptlebs(# lpt, LEB_SIZE))), is-encoded(mksb(adr, m7, m1, m2, m3, m4, m5), buf), is-encoded-pad(orphans, m3, buf0), mapped-full?(avol0, m4, lptlebs(# lpt, LEB_SIZE)), m5 + # lpt ≤ # avol0, ⌊err1⌋ , logoff ≠ LEB_SIZE → # buf1 = logoff ⊦ ⟨avol[m6] := unmapped⟩ ( avol = subarray(avol0, m5, # lpt)[m6, unmapped] ∧ is-encoded(log, avol0[m5 + m6, unmapped][m1].data) ∧ is-encoded-pad(orphans, m3, avol0[m2].data) ∧ err1 = err), ⟨skip⟩ ( avol = subarray(avol0, m5, # lpt)[m6, unmapped] ∧ is-encoded(log, avol0[m5 + m6, unmapped][m1].data) ∧ is-encoded-pad(orphans, m3, avol0[m2].data) ∧ err1 = err)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 74:
# avol0 = # lpt + m5, avol0[0] = mapped(buf), avol0[m2] = mapped(buf0), avol0[m1] = mapped(buf1), avol = subarray(avol0, m5, # lpt), err = err1, m6 < # avol, m6 < # lpt, disk-layout(mksb(adr, m7, m1, m2, m3, m4, m5), # lpt), ebm-vol-inv(subarray(avol0, m5, # lpt)), ebm-vol-inv(avol0), is-encoded(mksb(adr, m7, m1, m2, m3, m4, m5), buf), is-encoded(lpt, lebs(avol0, m4, lptlebs(# lpt, LEB_SIZE))), is-encoded(log, buf1), is-encoded-pad(orphans, m3, buf0), mapped-full?(avol0, m4, lptlebs(# lpt, LEB_SIZE)), m5 + # lpt ≤ # avol0, ⌊err1⌋ , logoff ≠ LEB_SIZE → # buf1 = logoff ⊦ ⟨skip⟩ ( avol = subarray(avol0, m5, # lpt)[m6, unmapped] ∧ is-encoded(log, avol0[m5 + m6, unmapped][m1].data) ∧ is-encoded-pad(orphans, m3, avol0[m2].data) ∧ err1 = err), avol[m6, unmapped] = subarray(avol0, m5, # lpt)[m6, unmapped] ∧ is-encoded(log, avol0[m5 + m6, unmapped][m1].data) ∧ is-encoded-pad(orphans, m3, avol0[m2].data) ∧ err1 = err

Rule argument

Additional information

Used simplifier rules: ⊦ # subarray(avol, m, n) = n; (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ m < n → (n ≤ m ↔ false); (s)