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Proof step 76 from proof cyclic-pseq (previous step)

¬ ¬ validrefs(str, st[r2 -- fs '] .refval ' + refs + r2 ', st[st[r2 -- fs '] .refval -- _type] .type, st), 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) + r2 ', fs .type, st), ps=(st[r2 -- fs '] .refval, st, 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, validrefs(str, (st[r2 -- fs '] .refval ' + refs) + r2 ' + st[r2 -- fs '] .refval ', st[st[r2 -- fs '] .refval -- _type] .type, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 75:
st1[r1 -- _type] .type = mkclasstype(class), st[r2 -- _type] = st1[r1 -- _type], ps=(st[r2 -- fs '] .refval, st, st1[r1 -- fs '] .refval, st1), validrefs(str, (st[r2 -- fs '] .refval ' + refs) + r2 ', fs .type, st), is_obj(str, r2, st), is_obj(str, r1, st1), fs ' ∈ instfields(class), is_referencevalue(st[r2 -- fs ']), validrefs(str, st[r2 -- fs '] .refval ' + refs + r2 ', st[st[r2 -- fs '] .refval -- _type] .type, st), ∀ 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)) ⊦ r2 = st[r2 -- fs '] .refval, r2 = jvmref, r1 = jvmref, validrefs(str, (st[r2 -- fs '] .refval ' + refs) + r2 ' + st[r2 -- fs '] .refval ', st[st[r2 -- fs '] .refval -- _type] .type, st), st[r2 -- fs '] .refval ∈ refs, dups(refs), r2 ∈ refs, cyclic(str, r1, st1), junkref(str, r1, st1), junkref(str, r2, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]