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Proof step 7 from proof hasSharing-put-index-refval (previous step)

st[r -- sks] = refval(r0) ∧ is_referencevalue(st[r -- sks]), (st[r0 -- i ', refval(r2)][r -- (sks + i ' ' + sks2)]) = refval(r3), st[r -- (sks + i ' ' + sks2)] = refval(r0), (st[r0 -- i ', refval(r2)][r -- ((sks + i ' ' + sks2) + i ' ' + sks3)]) = refval(r1), st[r0 -- _type] .type = mkarraytype(ty), (st[r0 -- i ', refval(r2)][r -- sks0]) = refval(r1), fits(r, sks0, st[r0 -- i ', refval(r2)]), fits(r3, i ' ' + sks3, st[r0 -- i ', refval(r2)]), fits(r, sks + i ' ' + sks2, st[r0 -- i ', refval(r2)]), disjoint(str, r ' + r2 ', st), validref(str, r2, ty, st), r2 = jvmref → is_reftype(ty) ⊦ r0 = jvmref, r = r2, r1 = jvmref, sks0 = [], sks0 = (sks + i ' ' + sks2) + i ' ' + sks3, junkref(str, r, st), hasSharing(r2, st), hasSharing(r, st), ∃ sks4. ¬ (sks4 + i ' ' ⊑ sks → st[r -- sks4] .refval ≠ r0), ∃ sks0. ¬ (sks0 + i ' ' ⊑ sks + i ' ' + sks2 → st[r -- sks0] .refval ≠ r0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
(st[r0 -- i ', refval(r2)][r -- sks0]) = refval(r1), st[r0 -- _type] .type = mkarraytype(ty), (st[r0 -- i ', refval(r2)][r -- ((sks + i ' ' + sks2) + i ' ' + sks3)]) = refval(r1), st[r -- (sks + i ' ' + sks2)] = refval(r0), (st[r0 -- i ', refval(r2)][r -- (sks + i ' ' + sks2)]) = refval(r3), st[r -- sks] = refval(r0), validref(str, r2, ty, st), disjoint(str, r ' + r2 ', st), fits(r, sks + i ' ' + sks2, st[r0 -- i ', refval(r2)]), fits(r3, i ' ' + sks3, st[r0 -- i ', refval(r2)]), fits(r, sks0, st[r0 -- i ', refval(r2)]), r2 = jvmref → is_reftype(ty) ⊦ sks0 = (sks + i ' ' + sks2) + i ' ' + sks3, sks0 = [], r1 = jvmref, r = r2, r0 = jvmref, hasSharing(r, st), hasSharing(r2, st), junkref(str, r, st), ∃ sks0. ¬ (sks0 + i ' ' ⊑ sks + i ' ' + sks2 → st[r -- sks0] .refval ≠ r0), ∃ sks4. ¬ (sks4 + i ' ' ⊑ sks → st[r -- sks4] .refval ≠ r0)

Rule argument

[emptyarg]

Additional information

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