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Proof step 18 from proof cyclic-def-simple (previous step)

is_array(str, r, st) ∧ st[r -- _type] .type ≤ mkclasstype(`java.lang.Object' .class), refs1 = [] ∨ (∃ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) ∧ refs1 .first = st[r -- i '] .refval ∧ validrefs(str, refs1, st[r -- _type] .type .type, st)), is_array(str, r, st) ⊦ r = jvmref, ¬ r ∈ refs1 ∧ ¬ dups(refs1), ∃ refs0. dups(refs0) ∧ refs0 .first = r ∧ validrefs(str, refs0, st[refs0 .first -- _type] .type, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 17:
is_array(str, r, st), refs1 = [] ∨ 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) ∧ refs1 .first = st[r -- i '] .refval ∧ validrefs(str, refs1, st[r -- _type] .type .type, st) ⊦ r = jvmref, ¬ r ∈ refs1 ∧ ¬ dups(refs1), ∃ refs0. dups(refs0) ∧ refs0 .first = r ∧ validrefs(str, refs0, st[refs0 .first -- _type] .type, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_array(str, r, st) → ( st[r -- _type] .type ≤ mkclasstype(class) ↔ class = `java.lang.Object' .class)])]]