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Proof step 25 from proof junkrefs-put-nopathex (previous step)

(st[r0 -- sk, val][r1 -- mkfs(class, ty1, fieldvar) ']) = refval(r2), junkrefs(str, r2 ' + refs, ty1, st[r0 -- sk, val]), mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r1 -- _type] .type .class), is_obj(str, r1, st), st[r1 -- _type] .type ≤ ty, is_obj(str, r1, st[r0 -- sk, val]), ∀ str0, r, st0, ty0, sk0, val0. ¬ path∃(str0, r2, r, st0) ∧ ¬ junkrefs(str0, r2 ' + refs, ty0, st0) ∧ sk0 ≠ _type → ¬ junkrefs(str0, r2 ' + refs, ty0, st0[r -- sk0, val0]) ⊦ r1 = jvmref, sk = _type, junkrefs(str, r1 ' + r2 ' + refs, ty, st), path∃(str, r1, r0, st)

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 8:
⊦ path∃(str, r, r, st) ↔ r = jvmref ∨ r ≠ jvmref ∧ is_valid_ref(str, r, st)
Proof step 24:
(st[r0 -- sk, val][r1 -- mkfs(class, ty1, fieldvar) ']) = refval(r2), junkrefs(str, r2 ' + refs, ty1, st[r0 -- sk, val]), mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r1 -- _type] .type .class), is_obj(str, r1, st), st[r1 -- _type] .type ≤ ty, is_obj(str, r1, st[r0 -- sk, val]), ∀ str0, r, st0, ty0, sk0, val0. ¬ path∃(str0, r2, r, st0) ∧ ¬ junkrefs(str0, r2 ' + refs, ty0, st0) ∧ sk0 ≠ _type → ¬ junkrefs(str0, r2 ' + refs, ty0, st0[r -- sk0, val0]) ⊦ r1 -- mkfs(class, ty1, fieldvar) ' = r0 -- sk, r1 = jvmref, sk = _type, junkrefs(str, r1 ' + r2 ' + refs, ty, st), path∃(str, r1, r0, st)

Rule argument

[fma-arg: r1 -- mkfs(class, ty1, fieldvar) ' = r0 -- sk]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ (st[rk, val][rk]) = val], [CSIMPSEQ : ⊦ is_obj(str, r, st) → is_valid_ref(str, r, st)])], [EXTRAFMAS : (r1 -- mkfs(class, ty1, fieldvar) ' = r0 -- sk)]]