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Proof step 194 from proof inv-gc (previous step)

gstore2[n1] = groupblock(gndx, lax, 0), remove-refsize0(gstore1) = gstore1, elems nx ∩ jro0 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ jro0, fi1.inos < pmaxino, fi2.inos < jmaxino, p_os < pmaxino, jro1 < jmaxino, inv(gstore1), inv(gstore2 \ jro0), inv(gstore2[nx.last]), refsize-cons(gstore1, range fi1), refsize-cons(gstore2, range fi2), ri-cons(fi2, nodes(gstore2 ↓, jro0)), ri-inj(fi1), ri-inj(fi2), valid-journal-head(nx, gstore2, jro0), n1 ∈ dom gstore2 ∪ jro0, n1 ∈ gstore1, n1 ∈ gstore2, nx.last ∈ gstore2, pmaxino ≤ jmaxino, fi1.lebs ⊆ dom gstore1, fi2.lebs ⊆ dom gstore2 ⊦ #(dom gstore2 ∪ jro0) = 0, gstore2[nx.last].gndlist = [], nx.last = n1, jmaxino = 0, nx = [], pmaxino = 0, dom gstore2 ∪ jro0 = ∅, gstore2[nx.last].gndlist.last.end, dups(nx), n1 ∈ nx

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 195:
gstore2[n1] = groupblock(gndx, lax, 0), gstore2[nx.last] = groupblock(gndx0, lax0, m), remove-refsize0(gstore1) = gstore1, elems nx ∩ jro0 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ jro0, jro1 < jmaxino, p_os < pmaxino, fi2.inos < jmaxino, fi1.inos < pmaxino, inv(gstore2[nx.last]), inv(gstore2 \ jro0), inv(gstore1), refsize-cons(gstore2, range fi2), refsize-cons(gstore1, range fi1), ri-cons(fi2, nodes(gstore2 ↓, jro0)), ri-inj(fi2), ri-inj(fi1), valid-journal-head(nx, gstore2, jro0), nx.last ∈ gstore2, n1 ∈ gstore2, n1 ∈ gstore1, n1 ∈ dom gstore2 ∪ jro0, pmaxino ≤ jmaxino, fi2.lebs ⊆ dom gstore2, fi1.lebs ⊆ dom gstore1 ⊦ #(dom gstore2 ∪ jro0) = 0, nx.last = n1, gndx0 = [], jmaxino = 0, nx = [], pmaxino = 0, dom gstore2 ∪ jro0 = ∅, gndx0.last.end, dups(nx), n1 ∈ nx

Rule argument

spec: ablock, inst: group-store name: elim seq: ⊦ (gndx = gblock.gndlist ∧ lax = gblock.ladrlist) ∧ m = gblock.ref-size ↔ gblock = groupblock(gndx, lax, m) subst: [gblock, gndx, lax, m] → [gstore2[nx.last], gndx0, lax0, m]

Additional information

Used simplifier rules: ⊦ (gndx = gblock.gndlist ∧ lax = gblock.ladrlist) ∧ m = gblock.ref-size ↔ gblock = groupblock(gndx, lax, m); (elim) Used terms: gstore2[nx.last], gndx0, lax0, m