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Proof step 67 from proof unchanged-lookup-list-generic (previous step)

unchanged(str, r, st, st0) ∧ path∃(str, r, r, st) ∧ r ≠ jvmref ∧ (is_classtype(st[r -- _type] .type) → sk ∈ instfields(st[r -- _type] .type .class)) ∧ (is_arraytype(st[r -- _type] .type) → sk = _length ∨ is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st[r -- _length] .intval), unchanged(str, r, st, st0), is_referencevalue(st0[r -- sk]), fits(st0[r -- sk] .refval, sks0, st0), fits(st0[r -- sk] .refval, sks0, st), is_referencevalue(st0[r -- sk]), is_classtype(st0[r -- _type] .type) → sk ∈ instfields(st0[r -- _type] .type .class), is_arraytype(st0[r -- _type] .type) → is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st0[r -- _length] .intval, ∀ r, st0, st, str. fits(r, sks0, st0) ∧ fits(r, sks0, st) ∧ unchanged(str, r, st, st0) → st[r -- sks0] = st0[r -- sks0] ∨ junkref(str, r, st) ∨ junkref(str, r, st0), is_arraytype(st[r -- _type] .type) → is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st[r -- _length] .intval, is_classtype(st[r -- _type] .type) → sk ∈ instfields(st[r -- _type] .type .class) ⊦ r = jvmref, sks0 = [], st[st0[r -- sk] .refval -- sks0] = st0[st0[r -- sk] .refval -- sks0], junkref(str, r, st), junkref(str, r, st0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : cyclic, , pathex-one, ⊦ path∃(str, r, r, st) ↔ r = jvmref ∨ r ≠ jvmref ∧ is_valid_ref(str, r, st)])]]