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Proof step 805 from proof hasSharing-put-index-refval (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 804:
(st[r0 -- i ', refval(r2)][r -- sks0]) = refval(r1), st[r0 -- _type] .type = mkarraytype(ty), st[r -- sks] = refval(r1), validref(str, r2, ty, st), disjoint(str, r ' + r2 ', st), fits(r, sks, st), fits(r, sks0, st), r2 = jvmref → is_reftype(ty) ⊦ sks0 = sks, sks0 = [], sks = [], r1 = jvmref, r = r2, r0 = jvmref, hasSharing(r, st), hasSharing(r2, st), junkref(str, r, st), ∃ sks1, sks3. sks = sks1 + i ' ' + sks3 ∧ st[r -- sks1] .refval = r0 ∧ (∀ sks2. sks2 + i ' ' ⊑ sks1 → st[r -- sks2] .refval ≠ st[r -- sks1] .refval), ∃ sks1, sks2. sks0 = sks1 + i ' ' + sks2 ∧ st[r -- sks1] .refval = r0 ∧ (∀ sks3. sks3 + i ' ' ⊑ sks1 → st[r -- sks3] .refval ≠ st[r -- sks1] .refval)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : list, storekeys, Last, ⊦ sks + sk = sks + sk '], [CSIMPNAMEDSEQ : list, storekeys, c, ⊦ sk + sks = sk ' + sks], [CSIMPNAMEDSEQ : specialkeys, , type-03, ⊦ _type ≠ i '], [CSIMPNAMEDSEQ : specialkeys, , len, ⊦ _length ≠ i '])]]