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Proof step 32 from proof junkrefs-put-nopathex (previous step)

is_obj(str, r1, st[r0 -- sk, val]) ∧ (st[r0 -- sk, val][r1 -- _type]) .type ≤ ty, is_obj(str, r1, st), acc ≠ [] ∧ (∃ fs. fs ' ∈ instfields((st[r0 -- sk, val][r1 -- _type]) .type .class) ∧ is_referencevalue(st[r0 -- sk, val][r1 -- fs ']) ∧ acc .first = (st[r0 -- sk, val][r1 -- fs ']) .refval ∧ junkrefs(str, acc, fs .type, st[r0 -- sk, val])), st[r1 -- _type] .type ≤ ty, ∀ str0, r2, st0, ty0, sk0, val0. ¬ path∃(str0, acc .first, r2, st0) ∧ ¬ junkrefs(str0, acc, ty0, st0) ∧ sk0 ≠ _type ∧ acc ≠ [] → ¬ junkrefs(str0, acc, ty0, st0[r2 -- sk0, val0]) ⊦ sk = _type, r1 = jvmref, junkrefs(str, r1 ' + acc, ty, st), path∃(str, r1, r0, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 31:
acc .first = (st[r0 -- sk, val][r1 -- fs ']) .refval, is_referencevalue(st[r0 -- sk, val][r1 -- fs ']), junkrefs(str, acc, fs .type, st[r0 -- sk, val]), is_obj(str, r1, st[r0 -- sk, val]), st[r1 -- _type] .type ≤ ty, is_obj(str, r1, st), fs ' ∈ instfields(st[r1 -- _type] .type .class), ∀ str0, r, st0, ty0, sk0, val0. ¬ path∃(str0, acc .first, r, st0) ∧ ¬ junkrefs(str0, acc, ty0, st0) ∧ sk0 ≠ _type → ¬ junkrefs(str0, acc, ty0, st0[r -- sk0, val0]) ⊦ sk = _type, r1 = jvmref, acc = [], junkrefs(str, r1 ' + acc, ty, st), path∃(str, r1, r0, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ sk ≠ sk0 → (st[r -- sk, val][r0 -- sk0]) = st[r0 -- sk0]])]]