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Proof step 64 from proof inv-gc-update-index (previous step)

# ax2 = # ndx1, # ax3 = # ndx2, jvalid ↔ jvalid0, gstore3[m3, groupblock(gndx, lax, n1)][m] = groupblock(gndx0, lax0, m6), gstore3[m3] = groupblock(gndx, lax, n1 + m5), fi2[ndx2.keys, ax3][nd.key] = @(m3, m4, m5), gstore3[@(m, m0, m1)] = mkgnode(nd, m2, boolvar, boolvar0), abs-log(nx, gstore3 ↓) = abs-log(nx, gstore2 ↓), dom gstore3 = dom gstore2, fi = fi1, fi0 = fi2[ndx2.keys, ax3][nd.key, @(m, m0, m1)], gstore = gstore3[m3, groupblock(gndx, lax, n1)], gstore0 = gstore1, jro = jro0, lnum = m, n = m6 + m1, nodes(gstore3 ↓, jro0) = nodes(gstore2 ↓, jro0), remove-refsize0(gstore1) = gstore1, range fi2 ∩ ax3.toSet = ∅, range fi2 ∩ ax2.toSet = ∅, elems nx ∩ jro0 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ jro0, dom gstore1 ∪ elems nx = dom gstore[lnum, gstore[lnum].ref-size:= n] ∪ jro0, jro1 < jmaxino1, fi2.inos < jmaxino1, p_os < pmaxino, fi2[ndx2.keys, ax3].inos < jmaxino, fi1.inos < pmaxino, fi2[ndx2.keys, ax3].inos ∪ (nd.key.inode? ⊃ ∅ ++ nd.key.ino;∅) < max(nd.key.ino + 1, jmaxino), fi2[ndx2.keys, ax3].inos < max(nd.key.ino + 1, jmaxino), gstore[lnum, gstore[lnum].ref-size:= n] =○refsize gstore3, inv(gstore2 \ jro0), inv(gstore1), inv(gstore3 \ jro0), inv(gstore[lnum, gstore[lnum].ref-size:= n] \ jro0), key-cons(ndx1), key-cons(ndx2), key-cons(nd.key, nd), nodes-cons(ax2, ndx1, gstore3, jro0), nodes-cons(ax3 + @(m, m0, m1) ' + ax2, ndx2 + nd ' + ndx1, gstore2, jro0), refsize-cons(gstore2, range fi2), refsize-cons(gstore3, range fi2[ndx2.keys, ax3]), refsize-cons(gstore1, range fi1), refsize-cons(gstore[lnum, gstore[lnum].ref-size:= n], range fi2[ndx2.keys, ax3][nd.key, @(m, m0, m1)]), ri-inj(fi2), ri-inj(fi1), ri-inj(fi2[ndx2.keys, ax3][nd.key, @(m, m0, m1)]), lnum ∈ gstore, m3 ∈ gstore3, m3 ∈ gstore2, nd.key ∈ fi2, @(m, m0, m1) ∈ gstore3, nd.key ∈ fi2[ndx2.keys, ax3], m ∈ gstore3[m3, groupblock(gndx, lax, n1)], jmaxino1 ≤ jmaxino, pmaxino ≤ jmaxino1, pmaxino ≤ jmaxino, pmaxino ≤ max(nd.key.ino + 1, jmaxino), ndx2.keys.toSet ⊆ dom fi2, fi2.lebs ⊆ dom gstore2, ndx1.keys.toSet ⊆ dom fi2, fi2[ndx2.keys, ax3].lebs ⊆ dom gstore2, fi1.lebs ⊆ dom gstore1, fi2[ndx2.keys, ax3][nd.key, @(m, m0, m1)].lebs ⊆ dom gstore[lnum, gstore[lnum].ref-size:= n], jvalid2 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro0), jvalid2 ∧ nx ≠ [] → valid-journal-head(nx, gstore3, jro0), jvalid2 ∧ nx ≠ [] → valid-journal-head(nx, gstore[lnum, gstore[lnum].ref-size:= n], jro0) ⊦ ⟪ndx0 := ndx1⟫ ( (∃ ax, ndx. # ax = # ndx ∧ ax3 + @(m, m0, m1) ' + ax2 = ax + ax2 ∧ ndx2 + nd ' + ndx1 = ndx + ndx0 ∧ fi2[ndx2.keys, ax3][nd.key, @(m, m0, m1)] = fi2[ndx.keys, ax]) ∧ (dom fi2 ∪ ndx2.keys.toSet) ++ nd.key = dom fi2 ∧ jmaxino1 ≤ max(nd.key.ino + 1, jmaxino) ∧ dom gstore[lnum, gstore[lnum].ref-size:= n] = dom gstore2 ∧ nodes-cons(ax2, ndx0, gstore[lnum, gstore[lnum].ref-size:= n], jro0) ∧ (jvalid2 ∧ nx ≠ [] → valid-journal-head(nx, gstore[lnum, gstore[lnum].ref-size:= n], jro0)) ∧ ¬ # ax2 < # ax2), jmaxino = 0, jmaxino1 = 0, max(nd.key.ino + 1, jmaxino) = 0, pmaxino = 0, dups(ax2), dups(ax3), dups(ax3 + ax2), dups(nx), @(m, m0, m1) ∈ ax3, @(m, m0, m1) ∈ ax2, @(m, m0, m1) ∈ fi2, m ∈ jro0

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

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