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Proof step 30 from proof inv-truncate (previous step)

gstore2[m] = groupblock(gndx, lax, m2), dom gstore2 = dom gstore3, fi = fi2, fi0 = fi1 \ datakeys(key, n0, fi1), gstore = gstore2, gstore0 = gstore1, lnum = m, n = m2 - m1, remove-refsize0(gstore1) = gstore1, as0 ∩ range(fi1 \ datakeys(key, n0, fi1)) = ∅, elems nx ∩ jro = ∅, dom gstore1 ∪ elems nx = dom gstore3 ∪ jro, fi2.inos < pmaxino, fi1.inos < jmaxino, p_os < pmaxino, gstore2 =○refsize gstore3, inv(gstore2 \ jro), inv(gstore1), inv(gstore3 \ jro), refsize-cons(gstore2, range(fi1 \ datakeys(key, n0, fi1)) ∪ as0), refsize-cons(gstore1, range fi2), refsize-cons(gstore3, range fi1), ri-inj(fi2), ri-inj(fi1 \ datakeys(key, n0, fi1)), ri-inj(fi1), m ∈ gstore2, @(m, m0, m1) ∈ as0, pmaxino ≤ jmaxino, m2 ≥ m1, as0.lebs ⊆ dom gstore3, fi2.lebs ⊆ dom gstore1, fi1.lebs ⊆ dom gstore3, jvalid2 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro), jvalid2 ∧ nx ≠ [] → valid-journal-head(nx, gstore3, jro) ⊦ [if lnum ∈ gstore then gstore[lnum].ref-size := n else abort] ( inv(gstore \ jro) ∧ dom gstore1 ∪ elems nx = dom gstore ∪ jro → ⟪as := as0 -- @(m, m0, m1)⟫ ( (jvalid2 ∧ nx ≠ [] → valid-journal-head(nx, gstore, jro)) ∧ dom gstore = dom gstore3 ∧ as ∩ range(fi1 \ datakeys(key, n0, fi1)) = ∅ ∧ as.lebs ⊆ dom gstore ∧ refsize-cons(gstore, range(fi1 \ datakeys(key, n0, fi1)) ∪ as) ∧ gstore =○refsize gstore3 ∧ # as < # as0)), # as0 = 0, as0 = ∅, pmaxino = 0, dups(nx)

Heuristic symbolic execution applied rule if positive right

And obtained the following new goals

Rule argument

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