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Proof step 53 from proof validrefs-junkrefs (previous step)

st[r -- i '] = refval(r0), junkrefs(str, r0 ' + refs1, st[r -- _type] .type .type, st), i < st[r -- _length] .intval, is_array(str, r, st), 0 < st[r -- _length] .intval, 0 ≤ i, st[r -- _type] .type ≤ ty, ¬ is_valid_ref(str, r0, st) ∨ ¬ st[r0 -- _type] .type ≤ st[r -- _type] .type .type ⊦ r = jvmref, r0 = jvmref, (r = jvmref ∨ r ≠ jvmref ∧ is_valid_ref(str, r, st) ∧ st[r -- _type] .type ≤ ty) ∧ ( ¬ is_valid_ref(str, r0, st) ∨ is_obj(r, st) ∧ (∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ r0 = st[r -- fs '] .refval ∧ ¬ st[st[r -- fs '] .refval -- _type] .type ≤ fs .type) ∨ is_array(r, st) ∧ (∃ i0. ¬ i0 < 0 ∧ ¬ st[r -- _length] .intval ≤ i0 ∧ is_referencevalue(st[r -- i0 ']) ∧ r0 = st[r -- i0 '] .refval ∧ ¬ st[st[r -- i0 '] .refval -- _type] .type ≤ st[r -- _type] .type .type))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 52:
st[r -- i '] = refval(r0), junkrefs(str, r0 ' + refs1, st[r -- _type] .type .type, st), i < st[r -- _length] .intval, is_array(str, r, st), 0 < st[r -- _length] .intval, 0 ≤ i, st[r -- _type] .type ≤ ty, is_valid_ref(str, r0, st), is_array(r, st) ⊦ r = jvmref, r0 = jvmref, st[r0 -- _type] .type ≤ st[r -- _type] .type .type, ∃ i0. ¬ i0 < 0 ∧ ¬ st[r -- _length] .intval ≤ i0 ∧ is_referencevalue(st[r -- i0 ']) ∧ r0 = st[r -- i0 '] .refval

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_array(r, st) → ¬ is_obj(r, st)], [CSIMPSEQ : ⊦ ¬ is_array(r, st) → ¬ is_array(str, r, st)], [CSIMPSEQ : ⊦ is_obj(r, st) → ¬ is_array(str, r, st)], [CSIMPSEQ : ⊦ is_array(str, r, st) → is_valid_ref(str, r, st)])]]