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Proof step 61 from proof junkrefs-put-refval (previous step)

acc = r2 + refs, r2 = (st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)][r1 -- fs ']) .refval, st[r1 -- _type] .type ≤ ty, is_valid_ref(str, r1, st), junkrefs(str, acc, fs .type, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)]), is_referencevalue(st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)][r1 -- fs ']), fs ' ∈ instfields((st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)][r1 -- _type]) .type .class), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r1 -- _type] .type .class), st[r0 -- _type] .type ≤ ty0, is_obj(r1, st), (st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)][r1 -- _type]) .type ≤ ty, is_obj(str, r1, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)]), ∀ str, ty, st, r0, r, fs. ¬ junkrefs(str, acc, ty, st) ∧ ¬ junkref(str, r0, st) ∧ is_obj(r, st) ∧ st[r0 -- _type] .type ≤ fs .type ∧ r0 ≠ jvmref ∧ fs ' ∈ instfields(st[r -- _type] .type .class) → ¬ junkrefs(str, acc, ty, st[r -- fs ', refval(r0)]) ⊦ acc = [], r0 = jvmref, r1 = jvmref, junkrefs(str, r1 ' + acc, ty, st), junkref(str, r0, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 60:
is_referencevalue(st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)][r1 -- fs ']), fs ' ∈ instfields((st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)][r1 -- _type]) .type .class), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r1 -- _type] .type .class), st[r0 -- _type] .type ≤ ty0, is_obj(r1, st), (st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)][r1 -- _type]) .type ≤ ty, is_obj(str, r1, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)]), st[r1 -- _type] .type ≤ ty, is_valid_ref(str, r1, st), junkrefs (str, (st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)][r1 -- fs ']) .refval ' + refs, fs .type, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)]), ∀ str0, ty1, st0, r, r2, fs0. ¬ junkrefs(str0, (st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)][r1 -- fs ']) .refval ' + refs, ty1, st0) ∧ ¬ junkref(str0, r, st0) ∧ is_obj(r2, st0) ∧ st0[r -- _type] .type ≤ fs0 .type ∧ r ≠ jvmref ∧ fs0 ' ∈ instfields(st0[r2 -- _type] .type .class) → ¬ junkrefs(str0, (st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)][r1 -- fs ']) .refval ' + refs, ty1, st0[r2 -- fs0 ', refval(r)]) ⊦ r0 = jvmref, r1 = jvmref, junkref(str, r0, st), junkrefs(str, r1 ' + (st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)][r1 -- fs ']) .refval ' + refs, ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' + refs ≠ []], [CSIMPSEQ : ⊦ r + refs = r ' + refs])]]