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Proof step 680 from proof hasSharing-put-index-refval (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 679:
st[r0 -- sks] = refval(r1), st[r0 -- _type] .type = mkarraytype(ty), st[r2 -- sks2] = refval(r1), fits(r2, sks2, st), fits(r0, sks, st), disjoint(str, r0 ' + r2 ', st), validref(str, r2, ty, st), i < st[r0 -- _length] .intval, 0 ≤ i, 0 < st[r0 -- _length] .intval ⊦ i ' ' + sks2 = sks, r0 = jvmref, r0 = r2, r1 = jvmref, sks = [], sks2 = [], r2 = jvmref, junkref(str, r0, st), hasSharing(r2, st), hasSharing(r0, st), ∃ sks0, sks3. sks = sks0 + i ' ' + sks3 ∧ st[r0 -- sks0] .refval = r0 ∧ (∀ sks2. sks2 + i ' ' ⊑ sks0 → st[r0 -- sks2] .refval ≠ st[r0 -- sks0] .refval), ∃ sks0, sks1. sks2 = sks0 + i ' ' + sks1 ∧ st[r2 -- sks0] .refval = r0 ∧ (∀ sks3. sks3 + i ' ' ⊑ sks0 → st[r2 -- sks3] .refval ≠ st[r2 -- sks0] .refval)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : list, storekeys, Last, ⊦ sks + sk = sks + sk '], [CSIMPNAMEDSEQ : list, storekeys, c, ⊦ sk + sks = sk ' + sks])]]