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Proof step 19 from proof abs-istore-crash (previous step)

# lpt0 = # lpt, # avol0 = # lpt, n < # lpt ∧ lpf0 = LP_INDEX_NODES ↔ n ∈ istore, gstore0[n] = groupblock(gndx, lax1, m7), lpt[n] = mklp(m4, m5, lpf0, m6), replay-lpt(lpt0.mapIndices(elems nx, λ lp. mklp(lp.ref-size, LEB_SIZE, LP_GROUP_NODES, lp.gcheapidx)), nx, # lpt)[n] = mklp(m0, m1, lpf, m2), remove-refsize0(crash(istore, istore0))[n] = indexblock(indx, lax, m), istore[n] = indexblock(indx0, lax0, m3), istore0[n] = indexblock(indx1, lax2, m8), dom istore ∩ elems nx = ∅, synced(avol0), avol1 ↓ avol0, istore0 ⊑ istore, n ∈ istore → abs-leb(avol0[n], indexblock(indx0, lax0, m3), mklp(m3, m5, lpf0, m6)) ∧ m4 = m3, n < # lpt → (n ∈ istore0 ↔ lpt0[n].flags = LP_INDEX_NODES ∧ lpt0[n].ref-size ≠ 0) ∧ (n ∈ gstore0 ↔ lpt0[n].flags = LP_GROUP_NODES ∧ lpt0[n].ref-size ≠ 0) ∧ (n ∈ istore0 → lpt0[n].ref-size = m8) ∧ (n ∈ gstore0 → lpt0[n].ref-size = m7) ∧ (lpt0[n].flags = LP_FREE → lpt0[n].ref-size = 0), ∀ n. n < # lpt ∧ lpt0[n].flags = LP_FREE → lpt0[n].ref-size = 0 ⊦ (n < # lpt ∧ lpf = LP_INDEX_NODES ↔ n ∈ remove-refsize0(crash(istore, istore0))) ∧ (n ∈ remove-refsize0(crash(istore, istore0)) → abs-leb(avol1[n], indexblock(indx, lax, m), mklp(m, m1, lpf, m2)) ∧ m0 = m)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 20:
# avol0 = # lpt, # lpt0 = # lpt, n < # lpt ∧ lpf0 = LP_INDEX_NODES ↔ n ∈ istore, istore0[n] = indexblock(indx1, lax2, m8), istore[n] = indexblock(indx0, lax0, m3), remove-refsize0(crash(istore, istore0))[n] = indexblock(indx, lax, m), replay-lpt(lpt0.mapIndices(elems nx, λ lp. mklp(lp.ref-size, LEB_SIZE, LP_GROUP_NODES, lp.gcheapidx)), nx, # lpt)[n] = mklp(m0, m1, lpf, m2), lpt[n] = mklp(m4, m5, lpf0, m6), gstore0[n] = groupblock(gndx, lax1, m7), lpt0[n] = mklp(m9, m10, lpf1, m11), dom istore ∩ elems nx = ∅, synced(avol0), avol1 ↓ avol0, istore0 ⊑ istore, n < # lpt → (n ∈ istore0 ↔ lpf1 = LP_INDEX_NODES ∧ m9 ≠ 0) ∧ (n ∈ gstore0 ↔ lpf1 = LP_GROUP_NODES ∧ m9 ≠ 0) ∧ (n ∈ istore0 → m9 = m8) ∧ (n ∈ gstore0 → m9 = m7) ∧ (lpf1 = LP_FREE → m9 = 0), n ∈ istore → abs-leb(avol0[n], indexblock(indx0, lax0, m3), mklp(m3, m5, lpf0, m6)) ∧ m4 = m3, ∀ n. n < # lpt ∧ lpt0[n].flags = LP_FREE → lpt0[n].ref-size = 0 ⊦ (n < # lpt ∧ lpf = LP_INDEX_NODES ↔ n ∈ remove-refsize0(crash(istore, istore0))) ∧ (n ∈ remove-refsize0(crash(istore, istore0)) → abs-leb(avol1[n], indexblock(indx, lax, m), mklp(m, m1, lpf, m2)) ∧ m0 = m)

Rule argument

spec: lprops name: elim seq: ⊦ ((m = lp.ref-size ∧ m0 = lp.size) ∧ lpf = lp.flags) ∧ m1 = lp.gcheapidx ↔ lp = mklp(m, m0, lpf, m1) subst: [lp, m, m0, lpf, m1] → [lpt0[n], m17, m18, lpf1, m19]

Additional information

Used simplifier rules: ⊦ ((m = lp.ref-size ∧ m0 = lp.size) ∧ lpf = lp.flags) ∧ m1 = lp.gcheapidx ↔ lp = mklp(m, m0, lpf, m1); (elim) Used terms: lpt0[n], m17, m18, lpf1, m19