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Proof step 41 from proof junkref-update-equiv (previous step)

is_array(str, r, st) ∧ r ≠ r0, st[r -- i '] = refval(r1), is_array(str, r, st), 0 < st[r -- _length] .intval, 0 ≤ i, junkrefs(str, r1 ' + acc, st[r -- _type] .type .type, st), i < st[r -- _length] .intval, is_valid_ref(str, r0, st), validFields(r0, fis, st), st[r1 -- _type] .type ≤ st[r -- _type] .type .type, ∀ r0, fis, st, str, r. validFields(r0, fis, st) ∧ is_valid_ref(str, r0, st) ∧ junkrefs(str, r ' + acc, st[r -- _type] .type, st) → junkref(str, r, update(r0, fis, st)) ∨ path∃(str, r, r0, st) ∨ _type ∈ fis ⊦ r = jvmref, r = r0, r1 = jvmref, _type ∈ fis, ∃ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) ∧ ( st[r -- i '] .refval ≠ jvmref ∧ st[st[r -- i '] .refval -- _type] .type ≤ st[r -- _type] .type .type ∧ path∃(str, st[r -- i '] .refval, r0, st) ∨ st[r -- i '] .refval = jvmref ∧ r0 = jvmref), junkref(str, r1, update(r0, fis, st))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i])]]