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Proof step 46 from proof junkrefs-put-refval-02 (previous step)

(st[r -- i ', refval(r0)][r1 -- i0 ']) = refval(r4), junkrefs(str, r4 ' + refs, st[r1 -- _type] .type .type, st[r -- i ', refval(r0)]), i0 < st[r1 -- _length] .intval, is_array(str, r1, st), st[r1 -- _type] .type ≤ ty, is_array(str, r1, st[r -- i ', refval(r0)]), mkarraytype(st[r0 -- _type] .type) ≤ st[r -- _type] .type, 0 < st[r1 -- _length] .intval, 0 ≤ i0, ∀ st0, r2, r3, str0, ty0, i1. mkarraytype(st0[r2 -- _type] .type) ≤ st0[r3 -- _type] .type ∧ junkrefs(str0, r4 ' + refs, ty0, st0[r3 -- i1 ', refval(r2)]) → r3 = jvmref ∨ r2 = jvmref ∨ junkrefs(str0, r4 ' + refs, ty0, st0) ∨ junkref(str0, r2, st0) ⊦ r1 -- i0 ' = r -- i ', r = jvmref, r0 = jvmref, r1 = jvmref, junkref(str, r0, st), ∃ i1. ¬ i1 < 0 ∧ ¬ st[r1 -- _length] .intval ≤ i1 ∧ is_referencevalue(st[r1 -- i1 ']) ∧ r4 = st[r1 -- i1 '] .refval ∧ junkrefs(str, st[r1 -- i1 '] .refval ' + refs, st[r1 -- _type] .type .type, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 45:
st[r1 -- i0 '] = refval(r4), junkrefs(str, r4 ' + refs, st[r1 -- _type] .type .type, st[r -- i ', refval(r0)]), i0 < st[r1 -- _length] .intval, is_array(str, r1, st), st[r1 -- _type] .type ≤ ty, is_array(str, r1, st[r -- i ', refval(r0)]), mkarraytype(st[r0 -- _type] .type) ≤ st[r -- _type] .type, 0 < st[r1 -- _length] .intval, 0 ≤ i0, ∀ st0, r2, r3, str0, ty0, i1. mkarraytype(st0[r2 -- _type] .type) ≤ st0[r3 -- _type] .type ∧ junkrefs(str0, r4 ' + refs, ty0, st0[r3 -- i1 ', refval(r2)]) → r3 = jvmref ∨ r2 = jvmref ∨ junkrefs(str0, r4 ' + refs, ty0, st0) ∨ junkref(str0, r2, st0), r1 ≠ r ∨ i0 ≠ i ⊦ r = jvmref, r0 = jvmref, r1 = jvmref, junkref(str, r0, st), ∃ i1. ¬ i1 < 0 ∧ ¬ st[r1 -- _length] .intval ≤ i1 ∧ is_referencevalue(st[r1 -- i1 ']) ∧ r4 = st[r1 -- i1 '] .refval ∧ junkrefs(str, st[r1 -- i1 '] .refval ' + refs, st[r1 -- _type] .type .type, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ i ' = i0 ' ↔ i = i0], [CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)], [CSIMPSEQ : ⊦ rk ≠ rk0 → (st[rk0, val][rk]) = st[rk]])]]