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Proof step 33 from proof cyclic-addobj (previous step)

fis .keys = instfields(class), fis[mkfs(class0, ty, fieldvar) '] = refval(r1), mkfs(class0, ty, fieldvar) ' ∈ fis, validfieldinits(fis, st), is_obj(str, r, addobj(r, class, fis, st)), newref(r, st), mkfs(class0, ty, fieldvar) ' ∈ instfields(class), validrefs(str, r1 ' + refs, ty, addobj(r, class, fis, st)), mkfs(class0, ty, fieldvar) ' × refval(r1) ∈ fis → ¬ junkref(str, r1, st) ∧ ¬ cyclic(str, r1, st), ∀ fs, r0. fs ' × refval(r0) ∈ fis → ¬ junkref(str, r0, st) ∧ ¬ cyclic(str, r0, st) ⊦ r = jvmref, ∃ fs. fs ' ∈ fis ∧ fs ' ∈ instfields(class) ∧ fis[fs '] = refval(r), r ≠ r1 ∧ ¬ r ∈ refs ∧ ¬ r1 ∈ refs ∧ ¬ dups(refs)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 32:
fis .keys = instfields(class), fis[mkfs(class0, ty, fieldvar) '] = refval(r1), mkfs(class0, ty, fieldvar) ' ∈ fis, validfieldinits(fis, st), is_obj(str, r, addobj(r, class, fis, st)), newref(r, st), mkfs(class0, ty, fieldvar) ' ∈ instfields(class), validrefs(str, r1 ' + refs, ty, addobj(r, class, fis, st)), ∀ fs, r0. fs ' × refval(r0) ∈ fis → ¬ junkref(str, r0, st) ∧ ¬ cyclic(str, r0, st) ⊦ r = jvmref, r = r1, cyclic(str, r1, st), junkref(str, r1, st), ∃ fs. fs ' ∈ fis ∧ fs ' ∈ instfields(class) ∧ fis[fs '] = refval(r), ¬ dups(refs) ∧ ¬ r1 ∈ refs ∧ ¬ r ∈ refs

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ newref(r, st) → junkref(str, r, st)], [CSIMPSEQ : ⊦ sk ∈ fis ∧ fis[sk] = val → (¬ sk × val ∈ fis ↔ false)])]]