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Proof step 46 from proof junkrefs-notin (previous step)

is_array(str, r0, st) ∧ st[r0 -- _type] .type ≤ ty, acc + r ' = r1 ' + refs, st[r0 -- _type] .type ≤ ty, is_array(str, r0, st), ∀ str, r, refs0, ty, st. (junkrefs(str, acc + r ' + refs0, ty, st) ↔ junkrefs(str, acc + r ', ty, st)) ∨ r ∈ st ⊦ (∃ i. 0 ≤ i ∧ i < st[r0 -- _length] .intval ∧ is_referencevalue(st[r0 -- i ']) ∧ r1 = st[r0 -- i '] .refval ∧ junkrefs(str, acc + r ' + refs0, st[r0 -- _type] .type .type, st)) ↔ acc + r ' ≠ [] ∧ (∃ i. 0 ≤ i ∧ i < st[r0 -- _length] .intval ∧ is_referencevalue(st[r0 -- i ']) ∧ (acc + r ') .first = st[r0 -- i '] .refval ∧ junkrefs(str, acc + r ', st[r0 -- _type] .type .type, st)), r0 = jvmref, r ∈ st, r ≠ r1 ∧ ¬ r ∈ refs, ¬ r1 ∈ acc ∧ r1 ≠ r

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 45:
acc + r ' = r1 ' + refs, is_array(str, r0, st), st[r0 -- _type] .type ≤ ty, ∀ str, r, refs0, ty, st. (junkrefs(str, acc + r ' + refs0, ty, st) ↔ junkrefs(str, acc + r ', ty, st)) ∨ r ∈ st ⊦ r0 = jvmref, (∃ i. 0 ≤ i ∧ i < st[r0 -- _length] .intval ∧ is_referencevalue(st[r0 -- i ']) ∧ r1 = st[r0 -- i '] .refval ∧ junkrefs(str, acc + r ' + refs0, st[r0 -- _type] .type .type, st)) ↔ (∃ i. ¬ i < 0 ∧ ¬ st[r0 -- _length] .intval ≤ i ∧ is_referencevalue(st[r0 -- i ']) ∧ r1 = st[r0 -- i '] .refval ∧ junkrefs(str, st[r0 -- i '] .refval ' + refs, st[r0 -- _type] .type .type, st)), r ∈ st, ¬ r1 ∈ acc ∧ r1 ≠ r, r ≠ r1 ∧ ¬ r ∈ refs

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (r ' + refs) .first = r], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' ≠ []], [CSIMPSEQ : ⊦ ¬ refs + refs0 ≠ [] ↔ refs = [] ∧ refs0 = []])]]