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Proof step 66 from proof prepost-add-log-leb (previous step)

# buf3 = EB_PAGE_SIZE, m5 + # lpt = # avol, avol[m2] = mapped(buf0), avol[0] = mapped(buf2), avol[m6] = mapped(buf1), avol0 = avol, err = err0, m = # buf1, m0 = m6, n0 = EB_PAGE_SIZE, n1 = 0, m6 < # avol, disk-layout(mksb(adr, m7, m6, m2, m3, m4, m5), # lpt), ebm-vol-inv(avol), is-encoded(rnode(m8), buf3), is-encoded(mksb(adr, m7, m6, m2, m3, m4, m5), buf2), is-encoded(lpt, lebs(avol, m4, lptlebs(# lpt, LEB_SIZE))), is-encoded(log, buf1), is-encoded-pad(orphans, m3, buf0), mapped-full?(avol, m4, lptlebs(# lpt, LEB_SIZE)), # buf1 + EB_PAGE_SIZE ≤ LEB_SIZE, ∀ n. ¬(n < n0 ∧ is-aligned(n, EB_PAGE_SIZE)), ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ [skip] ( ebm-vol-inv(avol) → ⟪logoff := # buf1; if err = ESUCCESS then logoff := logoff + EB_PAGE_SIZE else {logoff := LEB_SIZE; debug#("persistence-io: failed to add LEB " + m8.toString + " to log")}⟫ ( (err = ESUCCESS ∨ ⌊err⌋ ) ∧ subarray(avol, m5, # lpt) = subarray(avol0, m5, # lpt) ∧ ( err = ESUCCESS → m5 + # lpt = # avol ∧ avol[0].mapped? ∧ is-encoded(mksb(adr, m7, m6, m2, m3, m4, m5), avol[0].data) ∧ avol[m2].mapped? ∧ is-encoded-pad(orphans, m3, avol[m2].data) ∧ avol[m6].mapped? ∧ (logoff ≠ LEB_SIZE → # avol[m6].data = logoff) ∧ is-encoded(log + m8 ', avol[m6].data) ∧ mapped-full?(avol, m4, lptlebs(# lpt, LEB_SIZE)) ∧ is-encoded(lpt, lebs(avol, m4, lptlebs(# lpt, LEB_SIZE)))) ∧ ( err ≠ ESUCCESS → m5 + # lpt = # avol ∧ avol[0].mapped? ∧ is-encoded(mksb(adr, m7, m6, m2, m3, m4, m5), avol[0].data) ∧ avol[m2].mapped? ∧ is-encoded-pad(orphans, m3, avol[m2].data) ∧ avol[m6].mapped? ∧ (logoff ≠ LEB_SIZE → # avol[m6].data = logoff) ∧ is-encoded(log, avol[m6].data) ∧ mapped-full?(avol, m4, lptlebs(# lpt, LEB_SIZE)) ∧ is-encoded(lpt, lebs(avol, m4, lptlebs(# lpt, LEB_SIZE)))))), # buf1 = LEB_SIZE, err = ESUCCESS

Heuristic symbolic execution applied rule skip right

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ ⌊err⌋ → err ≠ ESUCCESS; (s)% ⊦ EB_PAGE_SIZE ≠ 0; (s)%m ≠ 0 ⊦ is-aligned(n, m) → (n < m ↔ n = 0); (s)%n ≠ 0 ⊦ is-aligned(0, n); (s)