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Proof step 288 from proof hasSharing-put-index-refval (previous step)

st[r4 -- sks2] = refval(r) ∧ is_referencevalue(st[r4 -- sks2]), (st[r -- i ', refval(r4)][r4 -- (sks1 + i ' ' + sks)]) = refval(r1), st[r -- _type] .type = mkarraytype(ty), st[r -- sks0] = refval(r1), st[r4 -- sks1] = refval(r), sks2 + i ' ' ⊑ sks1, fits(r4, sks1 + i ' ' + sks, st), disjoint(str, r ' + r4 ', st), validref(str, r4, ty, st), fits(r, sks0, st), i < st[r -- _length] .intval, 0 ≤ i, 0 < st[r -- _length] .intval, ∀ sks. sks + i ' ' ⊑ sks1 → st[r4 -- sks] .refval ≠ r ⊦ sks0 = i ' ' + sks1 + i ' ' + sks, r = jvmref, r = r4, r1 = jvmref, sks0 = [], r4 = jvmref, junkref(str, r, st), hasSharing(r4, st), hasSharing(r, st), ∃ sks, sks1. sks0 = sks + i ' ' + sks1 ∧ st[r -- sks] .refval = r ∧ (∀ sks1. sks1 + i ' ' ⊑ sks → st[r -- sks1] .refval ≠ r)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 287:
st[r4 -- sks1] = refval(r), st[r -- sks0] = refval(r1), st[r -- _type] .type = mkarraytype(ty), (st[r -- i ', refval(r4)][r4 -- (sks1 + i ' ' + sks)]) = refval(r1), st[r4 -- sks2] = refval(r), 0 < st[r -- _length] .intval, 0 ≤ i, i < st[r -- _length] .intval, fits(r, sks0, st), validref(str, r4, ty, st), disjoint(str, r ' + r4 ', st), fits(r4, sks1 + i ' ' + sks, st), sks2 + i ' ' ⊑ sks1, ∀ sks. sks + i ' ' ⊑ sks1 → st[r4 -- sks] .refval ≠ r ⊦ r4 = jvmref, sks0 = [], r1 = jvmref, r = r4, r = jvmref, sks0 = i ' ' + sks1 + i ' ' + sks, hasSharing(r, st), hasSharing(r4, st), junkref(str, r, st), ∃ sks, sks1. sks0 = sks + i ' ' + sks1 ∧ st[r -- sks] .refval = r ∧ (∀ sks1. sks1 + i ' ' ⊑ sks → st[r -- sks1] .refval ≠ r)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : javavalue, , test-19, ⊦ is_referencevalue(refval(r))], [CSIMPNAMEDFORWARD : int-abs, , forward-le-05, ⊦ i < j ∧ 0 ≤ i → 0 < j])]]