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Proof step 24 from proof junkrefs-put-badfield (previous step)

(st[r0 -- fs ', val][r -- mkfs(class, ty1, fieldvar) ']) = refval(r2), junkrefs(str, r2 ' + refs, ty1, st[r0 -- fs ', val]), st[r -- _type] .type ≤ ty, is_obj(str, r, st[r0 -- fs ', val]), (st[r0 -- fs ', val][r -- _type]) .type ≤ ty, is_obj(str, r, st), mkfs(class, ty1, fieldvar) ' ∈ instfields((st[r0 -- fs ', val][r -- _type]) .type .class), ∀ str0, ty0, st0, r1, fs1, val0. junkrefs(str0, r2 ' + refs, ty0, st0[r1 -- fs1 ', val0]) → junkrefs(str0, r2 ' + refs, ty0, st0) ∨ is_typevalue(st0[r1 -- _type]) ∧ is_reftype(st0[r1 -- _type] .type), r ≠ r0 ∨ _type ≠ fs ' ⊦ r = jvmref, junkrefs(str, r ' + r2 ' + refs, ty, st), is_typevalue(st[r0 -- _type]) ∧ is_reftype(st[r0 -- _type] .type)

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 23:
(st[r0 -- fs ', val][r -- mkfs(class, ty1, fieldvar) ']) = refval(r2), junkrefs(str, r2 ' + refs, ty1, st[r0 -- fs ', val]), st[r -- _type] .type ≤ ty, is_obj(str, r, st[r0 -- fs ', val]), (st[r0 -- fs ', val][r -- _type]) .type ≤ ty, is_obj(str, r, st), mkfs(class, ty1, fieldvar) ' ∈ instfields((st[r0 -- fs ', val][r -- _type]) .type .class), ∀ str0, ty0, st0, r1, fs1, val0. junkrefs(str0, r2 ' + refs, ty0, st0[r1 -- fs1 ', val0]) → junkrefs(str0, r2 ' + refs, ty0, st0) ∨ is_typevalue(st0[r1 -- _type]) ∧ is_reftype(st0[r1 -- _type] .type), r ≠ r0 ∨ _type ≠ fs ' ⊦ r -- mkfs(class, ty1, fieldvar) ' = r0 -- fs ', r = jvmref, junkrefs(str, r ' + r2 ' + refs, ty, st), is_typevalue(st[r0 -- _type]) ∧ is_reftype(st[r0 -- _type] .type)

Rule argument

[fma-arg: r -- mkfs(class, ty1, fieldvar) ' = r0 -- fs ']

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0], [CSIMPSEQ : ⊦ fs ' = fs0 ' ↔ fs = fs0], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ sk ≠ sk0 → (st[r -- sk, val][r0 -- sk0]) = st[r0 -- sk0]], [CSIMPSEQ : ⊦ (st[rk, val][rk]) = val], [CSIMPSEQ : ⊦ ¬ is_typevalue(val) → val .type = void_type], [CSIMPSEQ : ⊦ void_type ≤ ty ↔ ty = void_type], [CSIMPSEQ : ⊦ ¬ is_typevalue(st[r -- _type]) → ¬ is_obj(str, r, st)], [CSIMPSEQ : ⊦ ¬ is_reftype(ty) → (ty ≤ ty0 ↔ ty = ty0)], [CSIMPSEQ : ⊦ ¬ is_reftype (st[r -- _type] .type) → ¬ is_obj(str, r, st)])], [EXTRAFMAS : (r -- mkfs(class, ty1, fieldvar) ' = r0 -- fs ')]]