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Proof step 195 from proof hasSharing-put-index-refval (previous step)

(st[r -- i ', refval(r2)][r2 -- sks]) = refval(r0) ∧ is_referencevalue(st[r -- i ', refval(r2)][r2 -- sks]), st[r2 -- sks] = refval(r), st[r2 -- sks1] = refval(r1), st[r -- _type] .type = mkarraytype(ty), (st[r -- i ', refval(r2)][r2 -- (sks + i ' ' + sks0)]) = refval(r1), validref(str, r2, ty, st), disjoint(str, r ' + r2 ', st), fits(r0, i ' ' + sks0, st[r -- i ', refval(r2)]), fits(r2, sks, st[r -- i ', refval(r2)]), 0 ≤ i, i < st[r -- _length] .intval, fits(r2, sks1, st), is_referencevalue(st[r -- i ', refval(r2)][r -- (i ' ' + sks1)]), 0 < st[r -- _length] .intval ⊦ sks1 = sks + i ' ' + sks0, r2 = jvmref, r1 = jvmref, r = r2, r = jvmref, hasSharing(r, st), hasSharing(r2, st), junkref(str, r, st), ∃ sks2. ¬ (sks2 + i ' ' ⊑ sks → st[r2 -- sks2] .refval ≠ r), ∃ sks2, sks0. sks1 = sks2 + i ' ' + sks0 ∧ st[r2 -- sks2] .refval = r ∧ (∀ sks3. sks3 + i ' ' ⊑ sks2 → st[r2 -- sks3] .refval ≠ st[r2 -- sks2] .refval)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 194:
(st[r -- i ', refval(r2)][r2 -- (sks + i ' ' + sks0)]) = refval(r1), st[r -- _type] .type = mkarraytype(ty), st[r2 -- sks1] = refval(r1), st[r2 -- sks] = refval(r), (st[r -- i ', refval(r2)][r2 -- sks]) = refval(r0), 0 < st[r -- _length] .intval, is_referencevalue(st[r -- i ', refval(r2)][r -- (i ' ' + sks1)]), fits(r2, sks1, st), i < st[r -- _length] .intval, 0 ≤ i, fits(r2, sks, st[r -- i ', refval(r2)]), fits(r0, i ' ' + sks0, st[r -- i ', refval(r2)]), disjoint(str, r ' + r2 ', st), validref(str, r2, ty, st) ⊦ r = jvmref, r = r2, r1 = jvmref, r2 = jvmref, sks1 = sks + i ' ' + sks0, junkref(str, r, st), hasSharing(r2, st), hasSharing(r, st), ∃ sks2, sks0. sks1 = sks2 + i ' ' + sks0 ∧ st[r2 -- sks2] .refval = r ∧ (∀ sks3. sks3 + i ' ' ⊑ sks2 → st[r2 -- sks3] .refval ≠ st[r2 -- sks2] .refval), ∃ sks2. ¬ (sks2 + i ' ' ⊑ sks → st[r2 -- sks2] .refval ≠ r)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : javavalue, , test-19, ⊦ is_referencevalue(refval(r))])]]