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Proof step 27 from proof junkrefs-put-refval-02 (previous step)

¬ (is_array(str, r1, st) ∧ okval(refval(r0), st[r1 -- _type] .type .type)), is_array(str, r1, st), junkrefs(str, r1 ' + acc, ty, st[r1 -- i ', refval(r0)]), mkarraytype(st[r0 -- _type] .type) ≤ st[r1 -- _type] .type, st[r1 -- _type] .type ≤ ty, mkarraytype(st[r0 -- _type] .type) ≤ ty, ∀ st, r0, r, str, ty, i. mkarraytype(st[r0 -- _type] .type) ≤ st[r -- _type] .type ∧ junkrefs(str, acc, ty, st[r -- i ', refval(r0)]) → r = jvmref ∨ r0 = jvmref ∨ junkrefs(str, acc, ty, st) ∨ junkref(str, r0, st) ⊦ r0 = jvmref, r1 = jvmref, junkref(str, r0, st), is_array(str, r1, st[r1 -- i ', refval(r0)]), acc ≠ [] ∧ (∃ i0. ¬ i0 < 0 ∧ ¬ st[r1 -- _length] .intval ≤ i0 ∧ is_referencevalue(st[r1 -- i0 ']) ∧ acc .first = st[r1 -- i0 '] .refval ∧ junkrefs(str, acc, st[r1 -- _type] .type .type, st))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 26:
is_array(str, r1, st), junkrefs(str, r1 ' + acc, ty, st[r1 -- i ', refval(r0)]), mkarraytype(st[r0 -- _type] .type) ≤ st[r1 -- _type] .type, st[r1 -- _type] .type ≤ ty, mkarraytype(st[r0 -- _type] .type) ≤ ty, ∀ st, r0, r, str, ty, i. mkarraytype(st[r0 -- _type] .type) ≤ st[r -- _type] .type ∧ junkrefs(str, acc, ty, st[r -- i ', refval(r0)]) → r = jvmref ∨ r0 = jvmref ∨ junkrefs(str, acc, ty, st) ∨ junkref(str, r0, st) ⊦ r0 = jvmref, r1 = jvmref, st[r1 -- _type] .type .type = void_type, junkref(str, r0, st), is_array(str, r1, st[r1 -- i ', refval(r0)]), is_reftype(st[r1 -- _type] .type .type), acc ≠ [] ∧ (∃ i0. ¬ i0 < 0 ∧ ¬ st[r1 -- _length] .intval ≤ i0 ∧ is_referencevalue(st[r1 -- i0 ']) ∧ acc .first = st[r1 -- i0 '] .refval ∧ junkrefs(str, acc, st[r1 -- _type] .type .type, st))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ okval(refval(r), ty) ↔ ty = void_type ∨ is_reftype(ty)])]]