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Proof step 51 from proof validrefs-put-last (previous step)

acc + r0 ' = r1 ' + refs, st[r -- i '] = refval(r1), is_array(str, r, st), st[r -- _type] .type ≤ ty, i < st[r -- _length] .intval, validrefs(str, r1 ' + refs, st[r -- _type] .type .type, st[r0 -- sk, val]), 0 ≤ i, 0 < st[r -- _length] .intval, st[r1 -- _type] .type ≤ st[r -- _type] .type .type ⊦ acc = [], sk = _type, r0 = r, r = jvmref, r1 = jvmref, r0 ∈ acc, validrefs(str, r1 ' + refs, st[r -- _type] .type .type, st), junkref(str, r1, st), ¬ junkref(str, acc .first, st) ∧ acc ≠ [], r0 ≠ r1 ∧ ¬ r0 ∈ refs, ¬ r1 ∈ acc ∧ r1 ≠ r0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 50:
acc + refs .last ' = r1 ' + refs, st[r -- i '] = refval(r1), r1 ∈ acc, is_array(str, r, st), st[r -- _type] .type ≤ ty, i < st[r -- _length] .intval, validrefs(str, r1 ' + refs, st[r -- _type] .type .type, st[refs .last -- sk, val]), 0 ≤ i, 0 < st[r -- _length] .intval, st[r1 -- _type] .type ≤ st[r -- _type] .type .type, junkref(str, acc .first, st) ⊦ refs = [], acc = [], sk = _type, refs .last = r, r = jvmref, r1 = jvmref, refs .last = r1, refs .last ∈ acc, validrefs(str, r1 ' + refs, st[r -- _type] .type .type, st), junkref(str, r1, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ≠ r0 → (r ∈ r0 ' + refs ↔ r ∈ refs)], [CSIMPSEQ : ⊦ refs .last ∈ refs ↔ refs ≠ []], [CSIMPFORWARD : ⊦ r ' + refs = refs0 + r0 ' ∧ r ≠ r0 → r ∈ refs0 ∧ r0 ∈ refs], [CSIMPFORWARD : ⊦ r ' + refs = refs0 + r0 ' ∧ r ≠ r0 → refs .last = r0], [CSIMPFORWARD : ⊦ refs + r ' = refs0 + refs1 ∧ ¬ r ∈ refs1 → refs1 = []], [CSIMPSEQ : ⊦ r ∈ refs → r ∈ refs + refs0], [CSIMPSEQ : ⊦ r ∈ refs → r ∈ refs0 + refs], [CSIMPFORWARD : ⊦ r ' + refs = refs0 → r ∈ refs0], [CSIMPFORWARD : ⊦ refs + r ' = refs0 → r ∈ refs0], [CSIMPFORWARD : ⊦ r ' + refs = refs0 + r0 ' ∧ refs0 ≠ [] → r ∈ refs0 ∧ r0 ∈ refs], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]