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Proof step 30 from proof junkrefs-put-badarrayfield (previous step)

is_array(str, r, st) ∧ st[r -- _type] .type ≤ ty, st[r -- i '] = refval(r2), junkrefs(str, r2 ' + refs, st[r -- _type] .type .type, st[r0 -- fs ', val]), i < st[r -- _length] .intval, is_arraytype(st[r0 -- _type] .type), is_array(str, r, st), st[r -- _type] .type ≤ ty, 0 < st[r -- _length] .intval, 0 ≤ i, ∀ str0, ty0, st0, fs0, r1, val0. ¬ junkrefs(str0, r2 ' + refs, ty0, st0) ∧ fs0 ' ≠ _type ∧ is_arraytype(st0[r1 -- _type] .type) ∧ fs0 ' ≠ _length → ¬ junkrefs(str0, r2 ' + refs, ty0, st0[r1 -- fs0 ', val0]) ⊦ r = jvmref, fs ' = _type, fs ' = _length, r2 ' + refs ≠ [] ∧ (∃ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) ∧ (r2 ' + refs) .first = st[r -- i '] .refval ∧ junkrefs(str, r2 ' + refs, st[r -- _type] .type .type, st))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 29:
st[r -- i '] = refval(r2), junkrefs(str, r2 ' + refs, st[r -- _type] .type .type, st[r0 -- fs ', val]), i < st[r -- _length] .intval, is_arraytype(st[r0 -- _type] .type), is_array(str, r, st), st[r -- _type] .type ≤ ty, 0 < st[r -- _length] .intval, 0 ≤ i, ∀ str0, ty0, st0, fs0, r1, val0. ¬ junkrefs(str0, r2 ' + refs, ty0, st0) ∧ fs0 ' ≠ _type ∧ is_arraytype(st0[r1 -- _type] .type) ∧ fs0 ' ≠ _length → ¬ junkrefs(str0, r2 ' + refs, ty0, st0[r1 -- fs0 ', val0]) ⊦ r = jvmref, fs ' = _type, fs ' = _length, ∃ i0. ¬ i0 < 0 ∧ ¬ st[r -- _length] .intval ≤ i0 ∧ is_referencevalue(st[r -- i0 ']) ∧ r2 = st[r -- i0 '] .refval ∧ junkrefs(str, st[r -- i0 '] .refval ' + refs, st[r -- _type] .type .type, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (r ' + refs) .first = r], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ r ' ≠ []], [CSIMPSEQ : ⊦ ¬ refs + refs0 ≠ [] ↔ refs = [] ∧ refs0 = []], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]