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Proof step 36 from proof refine-add2 (previous step)

abs-log(nx0, gstore1 ↓) = abs-log(nx, gstore ↓) + adr3 ' + adr1 ', nodes(gstore1 ↓, jro) = nodes(gstore ↓, jro0)[adr3, nd2][adr1, nd1], remove-refsize0(gstore0) = gstore0, elems nx ∩ jro0 = ∅, (nx0.toSet \ nx.toSet) ∩ dom gstore = ∅, elems nx0 ∩ jro = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ jro0, dom gstore0 ∪ elems nx0 = dom gstore1 ∪ jro, jro1.keys.inodes?, p_os.keys.inodes?, jro1 < jmaxino1, p_os < pmaxino, ri.inos < jmaxino1, fi1.inos < pmaxino, inv(gstore \ jro0), inv(gstore0), inv(gstore1 \ jro), log-cons(abs-log(nx, gstore ↓), nodes(gstore ↓, jro0)), node-cons(nd2.key, nd2), node-cons(nd1.key, nd1), nodes-cons(adr3 ' + adr1 ', nd2 ' + nd1 ', gstore1, jro), refsize-cons(gstore, range ri), refsize-cons(gstore0, range fi1), refsize-cons(gstore1, range ri), ri-cons(ri, nodes(gstore ↓, jro0)), ri-inj(ri), ri-inj(fi1), adr1 ∈ abs-log(nx0, gstore1 ↓), pmaxino ≤ jmaxino1, ri.lebs ⊆ dom gstore1, ri.lebs ⊆ dom gstore, fi1.lebs ⊆ dom gstore0, dom gstore ⊆ dom gstore1, jvalid0 ∧ nx0 ≠ [] → valid-journal-head(nx0, gstore1, jro), jvalid5 → jvalid4, jvalid3 ∧ nx ≠ [] → valid-journal-head(nx, gstore, jro0) ⊦ ⟨jvalid := ?⟩ ( (abs-log(nx, gstore ↓) + adr3 ') + adr1 ' = abs-log(nx0, gstore1 ↓) ∧ nodes(gstore ↓, jro0)[adr3, nd2][adr1, nd1] = nodes(gstore1 ↓, jro) ∧ (jvalid → jvalid1) ∧ adr3 = adr3 ∧ adr1 = adr1 ∧ ESUCCESS = ESUCCESS), adr3 = adr1, jmaxino1 = 0, pmaxino = 0, dups(nx0), dups(nx), adr3 ∈ nodes(gstore ↓, jro0), adr1 ∈ nodes(gstore ↓, jro0)

Heuristic symbolic execution applied rule assign right

And closed the goal!

Rule argument

Additional information

Used simplifier rules: a: ⊦ (ax + ax0) + ax1 = ax + ax0 + ax1; from specification list[address-list-set]