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Proof step 39 from proof refine-add3 (previous step)

abs-log(nx0, gstore1 ↓) = abs-log(nx, gstore ↓) + adr5 ' + adr1 ' + adr7 ', nodes(gstore1 ↓, jro) = nodes(gstore ↓, jro0)[adr5, nd3][adr1, nd0][adr7, nd2], 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(nd3.key, nd3), node-cons(nd0.key, nd0), node-cons(nd2.key, nd2), nodes-cons(adr5 ' + adr1 ' + adr7 ', nd3 ' + nd0 ' + nd2 ', 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), adr7 ∈ 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) ⊦ ⟨fs := nodes(gstore ↓, jro0)[adr5, nd3][adr1, nd0][adr7, nd2], log := ((abs-log(nx, gstore ↓) + adr5 ') + adr1 ') + adr7 ', err := ESUCCESS; jvalid := ?⟩ (log = abs-log(nx0, gstore1 ↓) ∧ fs = nodes(gstore1 ↓, jro) ∧ (jvalid → jvalid1) ∧ adr5 = adr5 ∧ adr1 = adr1 ∧ adr7 = adr7 ∧ ESUCCESS = err), adr1 = adr7, adr5 = adr1, adr5 = adr7, jmaxino1 = 0, pmaxino = 0, dups(nx), dups(nx0), adr7 ∈ nodes(gstore ↓, jro0), adr5 ∈ nodes(gstore ↓, jro0), adr1 ∈ nodes(gstore ↓, jro0)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 40:
abs-log(nx0, gstore1 ↓) = abs-log(nx, gstore ↓) + adr5 ' + adr1 ' + adr7 ', nodes(gstore1 ↓, jro) = nodes(gstore ↓, jro0)[adr5, nd3][adr1, nd0][adr7, nd2], remove-refsize0(gstore0) = gstore0, elems nx0 ∩ jro = ∅, (nx0.toSet \ nx.toSet) ∩ dom gstore = ∅, elems nx ∩ jro0 = ∅, dom gstore0 ∪ elems nx0 = dom gstore1 ∪ jro, dom gstore0 ∪ elems nx = dom gstore ∪ jro0, p_os.keys.inodes?, jro1.keys.inodes?, fi1.inos < pmaxino, ri.inos < jmaxino1, p_os < pmaxino, jro1 < jmaxino1, inv(gstore1 \ jro), inv(gstore0), inv(gstore \ jro0), log-cons(abs-log(nx, gstore ↓), nodes(gstore ↓, jro0)), node-cons(nd2.key, nd2), node-cons(nd0.key, nd0), node-cons(nd3.key, nd3), nodes-cons(adr5 ' + adr1 ' + adr7 ', nd3 ' + nd0 ' + nd2 ', gstore1, jro), refsize-cons(gstore1, range ri), refsize-cons(gstore0, range fi1), refsize-cons(gstore, range ri), ri-cons(ri, nodes(gstore ↓, jro0)), ri-inj(fi1), ri-inj(ri), adr7 ∈ abs-log(nx0, gstore1 ↓), pmaxino ≤ jmaxino1, dom gstore ⊆ dom gstore1, fi1.lebs ⊆ dom gstore0, ri.lebs ⊆ dom gstore, ri.lebs ⊆ dom gstore1, jvalid3 ∧ nx ≠ [] → valid-journal-head(nx, gstore, jro0), jvalid5 → jvalid4, jvalid0 ∧ nx0 ≠ [] → valid-journal-head(nx0, gstore1, jro) ⊦ ⟨jvalid := ?⟩ ( ((abs-log(nx, gstore ↓) + adr5 ') + adr1 ') + adr7 ' = abs-log(nx0, gstore1 ↓) ∧ nodes(gstore ↓, jro0)[adr5, nd3][adr1, nd0][adr7, nd2] = nodes(gstore1 ↓, jro) ∧ (jvalid → jvalid1) ∧ adr5 = adr5 ∧ adr1 = adr1 ∧ adr7 = adr7 ∧ ESUCCESS = ESUCCESS), adr1 = adr7, adr5 = adr7, adr5 = adr1, jmaxino1 = 0, pmaxino = 0, dups(nx0), dups(nx), adr1 ∈ nodes(gstore ↓, jro0), adr5 ∈ nodes(gstore ↓, jro0), adr7 ∈ nodes(gstore ↓, jro0)

Proof step 39 from proof refine-add3 (previous step)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

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