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Proof step 260 from proof hasSharing-put-index-refval (previous step)

st[r4 -- sks3] = refval(r) ∧ is_referencevalue(st[r4 -- sks3]), st[r -- _type] .type = mkarraytype(ty), st[r -- sks0] = refval(r1), (st[r -- i ', refval(r4)][r0 -- i ']) = refval(r2), (st[r -- i ', refval(r4)][r4 -- (sks3 + i ' ' + sks2)]) = refval(r0), st[r4 -- (sks3 + i ' ' + sks2)] = refval(r), (st[r -- i ', refval(r4)][r4 -- (sks3 + (i ' ' + sks2) + i ' ' + sks1)]) = refval(r1), disjoint(str, r ' + r4 ', st), validref(str, r4, ty, st), fits(r, sks0, st), i < st[r -- _length] .intval, 0 ≤ i, fits(r2, sks1, st[r -- i ', refval(r4)]), fits(r4, sks3 + i ' ' + sks2, st), 0 < st[r -- _length] .intval, is_arraytype(st[r0 -- _type] .type) → i < st[r0 -- _length] .intval, ∀ sks. sks + i ' ' ⊑ sks3 → st[r4 -- sks] .refval ≠ r ⊦ r = jvmref, r = r4, r1 = jvmref, sks0 = [], r0 = jvmref, r4 = jvmref, sks0 = i ' ' + sks3 + (i ' ' + sks2) + i ' ' + sks1, is_classtype(st[r0 -- _type] .type), junkref(str, r, st), hasSharing(r4, st), hasSharing(r, st), ∃ sks2, sks1. sks0 = sks2 + i ' ' + sks1 ∧ st[r -- sks2] .refval = r ∧ (∀ sks. sks + i ' ' ⊑ sks2 → st[r -- sks] .refval ≠ r), ∃ sks, sks4. sks3 + i ' ' + sks2 = sks + i ' ' + sks4 ∧ st[r4 -- sks] .refval = r ∧ (∀ sks2. sks2 + i ' ' ⊑ sks → st[r4 -- sks2] .refval ≠ st[r4 -- sks] .refval), ∃ sks. ¬ (sks + i ' ' ⊑ sks3 + i ' ' + sks2 → st[r4 -- sks] .refval ≠ r)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 259:
(st[r -- i ', refval(r4)][r4 -- (sks3 + (i ' ' + sks2) + i ' ' + sks1)]) = refval(r1), st[r4 -- (sks3 + i ' ' + sks2)] = refval(r), (st[r -- i ', refval(r4)][r4 -- (sks3 + i ' ' + sks2)]) = refval(r0), (st[r -- i ', refval(r4)][r0 -- i ']) = refval(r2), st[r -- sks0] = refval(r1), st[r -- _type] .type = mkarraytype(ty), st[r4 -- sks3] = refval(r), 0 < st[r -- _length] .intval, fits(r4, sks3 + i ' ' + sks2, st), fits(r2, sks1, st[r -- i ', refval(r4)]), 0 ≤ i, i < st[r -- _length] .intval, fits(r, sks0, st), validref(str, r4, ty, st), disjoint(str, r ' + r4 ', st), ∀ sks. sks + i ' ' ⊑ sks3 → st[r4 -- sks] .refval ≠ r, is_arraytype(st[r0 -- _type] .type) → i < st[r0 -- _length] .intval ⊦ sks0 = i ' ' + sks3 + (i ' ' + sks2) + i ' ' + sks1, r4 = jvmref, r0 = jvmref, sks0 = [], r1 = jvmref, r = r4, r = jvmref, hasSharing(r, st), hasSharing(r4, st), junkref(str, r, st), is_classtype(st[r0 -- _type] .type), ∃ sks. ¬ (sks + i ' ' ⊑ sks3 + i ' ' + sks2 → st[r4 -- sks] .refval ≠ r), ∃ sks, sks4. sks3 + i ' ' + sks2 = sks + i ' ' + sks4 ∧ st[r4 -- sks] .refval = r ∧ (∀ sks2. sks2 + i ' ' ⊑ sks → st[r4 -- sks2] .refval ≠ st[r4 -- sks] .refval), ∃ sks2, sks1. sks0 = sks2 + i ' ' + sks1 ∧ st[r -- sks2] .refval = r ∧ (∀ sks. sks + i ' ' ⊑ sks2 → st[r -- sks] .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])]]