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Proof step 39 from proof nodes-crash-down (previous step)

gstore[m] = groupblock(gndx, lax, m2), gstore ↓[@(m, m0, m1)] = mkgnode(nd0, m3, boolvar1, boolvar2), crash(gstore, gstore0, ginval, nx) ↓[m].gndlist[pos(@(m0, m1), crash(gstore, gstore0, ginval, nx) ↓[m].ladrlist)] = mkgnode(nd, m4, boolvar, boolvar0), inv(gstore \ ginval), inv(groupblock(gndx, lax, m2)), @(m0, m1) ∈ prefixn(valid-group-nodes(gndx), lax), m ∈ gstore, @(m0, m1) ∈ crash(gstore, gstore0, ginval, nx) ↓[m].ladrlist ⊦ nd = nd0, m ∈ ginval

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 40:
gndx0[pos(@(m0, m1), lax0)] = mkgnode(nd, m4, boolvar, boolvar0), gstore ↓[@(m, m0, m1)] = mkgnode(nd0, m3, boolvar1, boolvar2), gstore[m] = groupblock(gndx, lax, m2), crash(gstore, gstore0, ginval, nx) ↓[m] = groupblock(gndx0, lax0, m5), inv(groupblock(gndx, lax, m2)), inv(gstore \ ginval), @(m0, m1) ∈ lax0, m ∈ gstore, @(m0, m1) ∈ prefixn(valid-group-nodes(gndx), lax) ⊦ nd = nd0, m ∈ ginval

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] → [crash(gstore, gstore0, ginval, nx) ↓[m], gndx0, lax0, m5]

Additional information

Used simplifier rules: ⊦ (gndx = gblock.gndlist ∧ lax = gblock.ladrlist) ∧ m = gblock.ref-size ↔ gblock = groupblock(gndx, lax, m); (elim) Used terms: crash(gstore, gstore0, ginval, nx) ↓[m], gndx0, lax0, m5