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Proof step 7 from proof recovery (previous step)

# lpt0 = # avol0 - sb.main, sb.main + # lpt = # avol0, avol0[sb.log] = mapped(buf1), avol0[sb.orph] = mapped(buf0), avol0[0] = mapped(buf), disk-layout(sb, # lpt), ebm-vol-inv(avol0), ebm-vol-inv(subarray(avol0, sb.main, # lpt0)), is-encoded(lpt, lebs(avol0, sb.lpt, lptlebs(# lpt, LEB_SIZE))), is-encoded(sb, buf), is-encoded(lpt0, lebs(avol0, sb.lpt, lptlebs(# lpt0, LEB_SIZE))), is-encoded(log0, buf1), is-encoded-pad(ns0, sb.orphsize, buf0), mapped-full?(avol0, sb.lpt, lptlebs(# lpt, LEB_SIZE)), avol0 ⊆ avol1, m1 ≠ LEB_SIZE → # buf1 = m1 ⊦ ∃ lpt1. sb.main + # lpt1 = # avol0 ∧ mapped-full?(avol0, sb.lpt, lptlebs(# lpt1, LEB_SIZE)) ∧ is-encoded(lpt1, lebs(avol0, sb.lpt, lptlebs(# lpt1, LEB_SIZE)))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 8:
# lpt0 = # avol0 - m5, m5 + # lpt = # avol0, avol0[0] = mapped(buf), avol0[m2] = mapped(buf0), avol0[m0] = mapped(buf1), sb = mksb(adr, m, m0, m2, m3, m4, m5), disk-layout(sb, # lpt), ebm-vol-inv(subarray(avol0, m5, # lpt0)), ebm-vol-inv(avol0), is-encoded(log0, buf1), is-encoded(lpt0, lebs(avol0, m4, lptlebs(# lpt0, LEB_SIZE))), is-encoded(sb, buf), is-encoded(lpt, lebs(avol0, m4, lptlebs(# lpt, LEB_SIZE))), is-encoded-pad(ns0, m3, buf0), mapped-full?(avol0, m4, lptlebs(# lpt, LEB_SIZE)), avol0 ⊆ avol1, m1 ≠ LEB_SIZE → # buf1 = m1 ⊦ ∃ lpt1. m5 + # lpt1 = # avol0 ∧ mapped-full?(avol0, m4, lptlebs(# lpt1, LEB_SIZE)) ∧ is-encoded(lpt1, lebs(avol0, m4, lptlebs(# lpt1, LEB_SIZE)))

Rule argument

spec: superblock name: elim seq: ⊦ ( ( ( ( (adr = sb.indexaddr ∧ m = sb.maxino) ∧ m0 = sb.log) ∧ m1 = sb.orph) ∧ m2 = sb.orphsize) ∧ m3 = sb.lpt) ∧ m4 = sb.main ↔ sb = mksb(adr, m, m0, m1, m2, m3, m4) subst: [sb, adr, m, m0, m1, m2, m3, m4] → [sb, adr, m, m1, m2, m3, m4, m5]

Additional information

Used simplifier rules: ⊦ ( ( ( ((adr = sb.indexaddr ∧ m = sb.maxino) ∧ m0 = sb.log) ∧ m1 = sb.orph) ∧ m2 = sb.orphsize) ∧ m3 = sb.lpt) ∧ m4 = sb.main ↔ sb = mksb(adr, m, m0, m1, m2, m3, m4); (elim) Used terms: sb, adr, m, m1, m2, m3, m4, m5