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Proof step 126 from proof inv-store (previous step)

gstore3[@(m0, m1, m2)] = mkgnode(nd, m, boolvar, boolvar0), gstore3[m0] = groupblock(gndx, lax, m3), remove-refsize0(gstore2) = gstore2, elems nx ∩ jro0 = ∅, dom gstore2 ∪ elems nx = dom gstore3 ∪ jro0, jro1 < jmaxino, p_os < pmaxino, fi2.inos < jmaxino, fi1.inos < pmaxino, gstore3 =○refsize gstore3, inv(gstore3[m0, groupblock(gndx, lax, m3 + m2)] \ jro0), inv(gstore3 \ jro0), inv(gstore2), key-cons(key, nd), refsize-cons(gstore3, range fi2), refsize-cons(gstore2, range fi1), ri-inj(fi2), ri-inj(fi2[key, @(m0, m1, m2)]), ri-inj(fi1), m0 ∈ gstore3, @(m0, m1, m2) ∈ gstore3, pmaxino ≤ max(key.ino + 1, jmaxino), pmaxino ≤ jmaxino, fi2.lebs ⊆ dom gstore3, fi1.lebs ⊆ dom gstore2, jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore3, jro0) ⊦ jmaxino = 0, max(key.ino + 1, jmaxino) = 0, pmaxino = 0, dups(nx), @(m0, m1, m2) ∈ fi2, key ∈ fi2, (m0 ∈ gstore3 ∧ groupblock(gndx, lax, m3 + m2).gndlist = gstore3[m0].gndlist ∧ groupblock(gndx, lax, m3 + m2).ladrlist = gstore3[m0].ladrlist) ∧ refsize-cons(gstore3[m0, groupblock(gndx, lax, m3 + m2)], range fi2 ++ @(m0, m1, m2)) ∧ (jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore3[m0, groupblock(gndx, lax, m3 + m2)], jro0)) ∧ fi2.inos ∪ (key.inode? ⊃ ∅ ++ key.ino;∅) < max(key.ino + 1, jmaxino)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 127:
gstore3[@(m0, m1, m2)] = mkgnode(nd, m, boolvar, boolvar0), gstore3[m0] = groupblock(gndx, lax, m3), remove-refsize0(gstore2) = gstore2, elems nx ∩ jro0 = ∅, dom gstore2 ∪ elems nx = dom gstore3 ∪ jro0, jro1 < jmaxino, p_os < pmaxino, fi2.inos < jmaxino, fi1.inos < pmaxino, inv(gstore3[m0, groupblock(gndx, lax, m3 + m2)] \ jro0), inv(gstore3 \ jro0), inv(gstore2), key-cons(key, nd), refsize-cons(gstore3, range fi2), refsize-cons(gstore2, range fi1), ri-inj(fi2), ri-inj(fi2[key, @(m0, m1, m2)]), ri-inj(fi1), m0 ∈ gstore3, @(m0, m1, m2) ∈ gstore3, pmaxino ≤ max(key.ino + 1, jmaxino), pmaxino ≤ jmaxino, fi2.lebs ⊆ dom gstore3, fi1.lebs ⊆ dom gstore2, jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore3, jro0) ⊦ jmaxino = 0, max(key.ino + 1, jmaxino) = 0, pmaxino = 0, dups(nx), @(m0, m1, m2) ∈ fi2, key ∈ fi2, refsize-cons(gstore3[m0, groupblock(gndx, lax, m3 + m2)], range fi2 ++ @(m0, m1, m2)) ∧ (jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore3[m0, groupblock(gndx, lax, m3 + m2)], jro0)) ∧ fi2.inos ∪ (key.inode? ⊃ ∅ ++ key.ino;∅) < max(key.ino + 1, jmaxino)

Rule argument

Additional information

Used simplifier rules: ⊦ groupblock(gndx, lax, m).ladrlist = lax; (s)% ⊦ groupblock(gndx, lax, m).gndlist = gndx; (s)% ⊦ gstore =○refsize gstore; (s)