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Proof step 7 from proof refine-remap (previous step)

# avol0 = # lpt + m5, avol0[0] = mapped(buf), avol0[m2] = mapped(buf0), avol0[m1] = mapped(buf1), avol = subarray(avol0, m5, # lpt), m < # lpt, disk-layout(mksb(adr, m0, m1, m2, m3, m4, m5), # lpt), ebm-vol-inv(subarray(avol0, m5, # lpt)), ebm-vol-inv(avol0), is-encoded(mksb(adr, m0, 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 ≤ # avol0, logoff ≠ LEB_SIZE → # buf1 = logoff ⊦ ⟪persistence_io_remap#(m, mksb(adr, m0, m1, m2, m3, m4, m5); avol0; err)⟫ ⟨apersistence_io_remap#(m, adr, m0, log, lpt, orphans; avol; err0)⟩ ( # avol0 = m5 + (# avol0 - m5) ∧ avol = subarray(avol0, m5, # avol0 - m5) ∧ is-encoded(log, avol0[m1].data) ∧ is-encoded(lpt, lebs(avol0, m4, lptlebs(# avol0 - m5, LEB_SIZE))) ∧ is-encoded-pad(orphans, m3, avol0[m2].data) ∧ err = err0)

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 8:
# avol0 = # lpt + m5, avol0[m1] = mapped(buf1), avol0[m2] = mapped(buf0), avol0[0] = mapped(buf), avol = avol0, avol1 = subarray(avol0, m5, # lpt), sb = mksb(adr, m0, m1, m2, m3, m4, m5), m < # lpt, disk-layout(mksb(adr, m0, 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, m0, m1, m2, m3, m4, m5), buf), is-encoded-pad(orphans, m3, buf0), mapped-full?(avol0, m4, lptlebs(# lpt, LEB_SIZE)), m5 ≤ # avol0, logoff ≠ LEB_SIZE → # buf1 = logoff ⊦ ⟪if sb.main + m < # avol then ebm_avol_remap#(sb.main + m; avol; err) else abort⟫ ⟨apersistence_io_remap#(m, adr, m0, log, lpt, orphans; avol1; err0)⟩ ( # avol = m5 + (# avol - m5) ∧ avol1 = subarray(avol, m5, # avol - m5) ∧ is-encoded(log, avol[m1].data) ∧ is-encoded(lpt, lebs(avol, m4, lptlebs(# avol - m5, LEB_SIZE))) ∧ is-encoded-pad(orphans, m3, avol[m2].data) ∧ err = err0)

Rule argument

pos: right 1

Additional information

Used simplifier rules: persistence_io_remap#(LNUM, SB; AVOL; ERR) {if SB.main + LNUM < # AVOL then ebm_avol_remap#(SB.main + LNUM; AVOL; ERR) else abort };