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Proof step 28 from proof junkrefs-put-nopathex (previous step)

fs = mkfs(class, ty1, fieldvar), 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), is_referencevalue(st[r0 -- sk, val][r1 -- fs ']), junkrefs(str, (st[r0 -- sk, val][r1 -- fs ']) .refval ' + refs, ty1, st[r0 -- sk, val]), ∀ str0, r, st0, ty0, sk0, val0. ¬ path∃(str0, (st[r0 -- sk, val][r1 -- fs ']) .refval, r, st0) ∧ ¬ junkrefs(str0, (st[r0 -- sk, val][r1 -- fs ']) .refval ' + refs, ty0, st0) ∧ sk0 ≠ _type → ¬ junkrefs(str0, (st[r0 -- sk, val][r1 -- fs ']) .refval ' + refs, ty0, st0[r -- sk0, val0]) ⊦ sk = _type, r1 = jvmref, path∃(str, r1, r0, st), junkrefs(str, r1 ' + (st[r0 -- sk, val][r1 -- fs ']) .refval ' + refs, ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 27:
is_obj(str, r1, st[r0 -- sk, val]), st[r1 -- _type] .type ≤ ty, is_obj(str, r1, st), mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r1 -- _type] .type .class), is_referencevalue(st[r0 -- sk, val][r1 -- mkfs(class, ty1, fieldvar) ']), junkrefs(str, (st[r0 -- sk, val][r1 -- mkfs(class, ty1, fieldvar) ']) .refval ' + refs, ty1, st[r0 -- sk, val]), ∀ str0, r, st0, ty0, sk0, val0. ¬ path∃(str0, (st[r0 -- sk, val][r1 -- mkfs(class, ty1, fieldvar) ']) .refval, r, st0) ∧ ¬ junkrefs(str0, (st[r0 -- sk, val][r1 -- mkfs(class, ty1, fieldvar) ']) .refval ' + refs, ty0, st0) ∧ sk0 ≠ _type → ¬ junkrefs(str0, (st[r0 -- sk, val][r1 -- mkfs(class, ty1, fieldvar) ']) .refval ' + refs, ty0, st0[r -- sk0, val0]) ⊦ sk = _type, r1 = jvmref, path∃(str, r1, r0, st), junkrefs(str, r1 ' + (st[r0 -- sk, val][r1 -- mkfs(class, ty1, fieldvar) ']) .refval ' + refs, ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]