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Proof step 60 from proof junkref-subspec-samesubclasses (previous step)

¬ (¬ junkrefs(str, r0 ' + refs1, st[r0 -- _type] .type, st) ∧ r0 ≠ jvmref), st[r -- i '] = refval(r0), junkrefs(str, r0 ' + refs1, st[r -- _type] .type .type, st), i < st[r -- _length] .intval, same-subclasses-contains(st[r -- _type] .type .jtelemtype .class, str, str0), is_array(str, r, st), 0 < st[r -- _length] .intval, 0 ≤ i, has_classtype(st[r -- _type] .type), is_array(str0, r, st), ∀ str0, str, r1, st0, refs. # refs < # (r0 + refs1) → ( same-subclasses-contains(st0[r1 -- _type] .type .jtelemtype .class, str, str0) ∧ junkrefs(str, r1 ' + refs, st0[r1 -- _type] .type, st0) → junkref(str0, r1, st0)) ⊦ same-subclasses-contains(st[r0 -- _type] .type .jtelemtype .class, str, str0) ∧ junkrefs(str, r0 ' + refs1, st[r0 -- _type] .type, st), r = jvmref, junkref(str0, r, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 59:
st[r -- i '] = refval(r0), i < st[r -- _length] .intval, same-subclasses-contains(st[r -- _type] .type .jtelemtype .class, str, str0), is_array(str, r, st), 0 < st[r -- _length] .intval, 0 ≤ i, has_classtype(st[r -- _type] .type), is_array(str0, r, st), junkrefs(str, r0 ' + refs1, st[r0 -- _type] .type, st), ∀ str0, str, r1, st0, refs. # refs < # (r0 + refs1) → ( same-subclasses-contains(st0[r1 -- _type] .type .jtelemtype .class, str, str0) ∧ junkrefs(str, r1 ' + refs, st0[r1 -- _type] .type, st0) → junkref(str0, r1, st0)) ⊦ r = jvmref, r0 = jvmref, junkref(str0, r, st), same-subclasses-contains(st[r0 -- _type] .type .jtelemtype .class, str, str0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ junkrefs (str, r ' + refs, st[r -- _type] .type, st) → junkrefs(str, r ' + refs, ty, st)], [CSIMPSEQ : ⊦ ¬ junkrefs (str, jvmref ' + refs, ty, st)], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]