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Proof step 30 from proof disjoint-forward-array (previous step)

st[r1 -- i '] = refval(r2), st[r1 -- _type] .type = mkarraytype(ty), r3 ∈ refs, 0 < st[r1 -- _length] .intval, 0 ≤ i, i < st[r1 -- _length] .intval, r1 ∈ refs, r ∈ refs, path∃(str, r2, r0, st), path∃(str, r3, r0, st), is_array(str, r1, st), ∀ r4, r5, r6. ¬ r4 ∈ refs ∨ ¬ r5 ∈ refs ∨ r4 = r5 ∨ r6 = jvmref ∨ ¬ path∃(str, r4, r6, st) ∨ ¬ path∃(str, r5, r6, st) ⊦ r1 = r0, r3 = r1, r3 = r2, r0 = jvmref, r = r1, r1 = jvmref, r2 ∈ refs -l r1, r2 ∈ refs, junkref(str, r1, st), ¬ i < 0 ∧ ¬ st[r1 -- _length] .intval ≤ i ∧ is_referencevalue(st[r1 -- i ']) ∧ st[r1 -- i '] .refval ≠ jvmref ∧ st[st[r1 -- i '] .refval -- _type] .type ≤ ty ∧ path∃(str, st[r1 -- i '] .refval, r0, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 29:
st[r1 -- _type] .type = mkarraytype(ty), st[r1 -- i '] = refval(r2), is_array(str, r1, st), path∃(str, r3, r0, st), path∃(str, r2, r0, st), r ∈ refs, r1 ∈ refs, i < st[r1 -- _length] .intval, 0 ≤ i, 0 < st[r1 -- _length] .intval, r3 ∈ refs, ∀ r4, r5, r6. ¬ r4 ∈ refs ∨ ¬ r5 ∈ refs ∨ r4 = r5 ∨ r6 = jvmref ∨ ¬ path∃(str, r4, r6, st) ∨ ¬ path∃(str, r5, r6, st) ⊦ r1 = jvmref, r = r1, r0 = jvmref, r3 = r2, r3 = r1, r1 = r0, r2 = jvmref, junkref(str, r1, st), r2 ∈ refs, r2 ∈ refs -l r1, st[r2 -- _type] .type ≤ ty

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : cyclic, , pathex-null, ⊦ r ≠ jvmref → ¬ path∃(str, jvmref, r, st)], [CSIMPNAMEDSEQ : javavalue, , sel-09, ⊦ refval(r) .refval = r], [CSIMPNAMEDSEQ : javavalue, , test-19, ⊦ is_referencevalue(refval(r))], [CSIMPNAMEDSEQ : int-abs, , lels-03, ⊦ i < j → (¬ ¬ j ≤ i ↔ false)], [CSIMPNAMEDSEQ : int-abs, , lels-04, ⊦ i ≤ j → (¬ ¬ j < i ↔ false)])]]