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Proof step 63 from proof cyclic-pseq (previous step)

st[r2 -- _type] = st1[r1 -- _type], st1[r1 -- _type] .type = mkclasstype(class), is_referencevalue(st[r2 -- fs ']), fs ' ∈ instfields(class), is_obj(str, r1, st1), is_obj(str, r2, st), validrefs(str, (st[r2 -- fs '] .refval ' + refs) + r0 ', fs .type, st), ps=(st[r2 -- fs '] .refval, st, st1[r1 -- fs '] .refval, st1), maxpath(str, r1, st1) ≤ maxpath(str, st1[r1 -- fs '] .refval, st1), ∀ fs. fs ' ∈ instfields(class) ∧ ¬ is_referencevalue(st[r2 -- fs ']) → st[r2 -- fs '] = st1[r1 -- fs '], ∀ st, r, st0, r0, str0. maxpath(str0, r0, st0) < maxpath(str, r1, st1) → (ps=(r, st, r0, st0) ∧ cyclic(str0, r, st) → junkref(str0, r, st) ∨ junkref(str0, r0, st0) ∨ cyclic(str0, r0, st0)) ⊦ r1 = jvmref, r2 = jvmref, r2 = st[r2 -- fs '] .refval, junkref(str, r2, st), junkref(str, r1, st1), cyclic(str, r1, st1), r2 ∈ refs, dups(refs), st[r2 -- fs '] .refval ∈ refs, r0 ≠ r2 ∧ r0 ≠ st[r2 -- fs '] .refval ∧ ¬ r0 ∈ refs

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 53:
⊦ is_obj(str, r, st) ∧ st[r -- fs '] = refval(r0) ∧ fs ' ∈ instfields(st[r -- _type] .type .class) ∧ ¬ junkref(str, r, st) ∧ ¬ cyclic(str, r, st) → ¬ maxpath(str, r, st) ≤ maxpath(str, r0, st)
Proof step 62:
¬ ( is_obj(str, r1, st1) ∧ st1[r1 -- fs '] = refval(st1[r1 -- fs '] .refval) ∧ fs ' ∈ instfields(st1[r1 -- _type] .type .class) ∧ ¬ junkref(str, r1, st1) ∧ ¬ cyclic(str, r1, st1)), st[r2 -- _type] = st1[r1 -- _type], st1[r1 -- _type] .type = mkclasstype(class), is_referencevalue(st[r2 -- fs ']), fs ' ∈ instfields(class), is_obj(str, r1, st1), is_obj(str, r2, st), validrefs(str, (st[r2 -- fs '] .refval ' + refs) + r0 ', fs .type, st), ps=(st[r2 -- fs '] .refval, st, st1[r1 -- fs '] .refval, st1), maxpath(str, r1, st1) ≤ maxpath(str, st1[r1 -- fs '] .refval, st1), ∀ fs. fs ' ∈ instfields(class) ∧ ¬ is_referencevalue(st[r2 -- fs ']) → st[r2 -- fs '] = st1[r1 -- fs '], ∀ st, r, st0, r0, str0. maxpath(str0, r0, st0) < maxpath(str, r1, st1) → (ps=(r, st, r0, st0) ∧ cyclic(str0, r, st) → junkref(str0, r, st) ∨ junkref(str0, r0, st0) ∨ cyclic(str0, r0, st0)) ⊦ r1 = jvmref, r2 = jvmref, r2 = st[r2 -- fs '] .refval, junkref(str, r2, st), junkref(str, r1, st1), cyclic(str, r1, st1), r2 ∈ refs, dups(refs), st[r2 -- fs '] .refval ∈ refs, r0 ≠ r2 ∧ r0 ≠ st[r2 -- fs '] .refval ∧ ¬ r0 ∈ refs

Rule argument

[crewrite-arg: maxpath-object , F , [r, st, fs, r0, str] → [r1, st1, fs, st1[r1 -- fs '] .refval, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r1, st1, fs, st1[r1 -- fs '] .refval, str)]]