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Proof step 38 from proof cyclic-pseq (previous step)

is_obj(str, r1, st1), st[r2 -- _type] = st1[r1 -- _type], st1[r1 -- _type] .type = mkclasstype(class), r2 = st[r2 -- fs '] .refval, ps=(r2, st, st1[r1 -- fs '] .refval, st1), is_referencevalue(st[r2 -- fs ']), fs ' ∈ instfields(class), is_obj(str, r1, st1), is_obj(str, r2, st), cyclic(str, st1[r1 -- fs '] .refval, st1), is_referencevalue(st1[r1 -- fs ']), is_classtype(fs .type), class ≤ fs .type .class, ∀ 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, junkref(str, st1[r1 -- fs '] .refval, st1), junkref(str, r2, st), ∃ fs. fs ' ∈ instfields(st1[r1 -- _type] .type .class) ∧ is_referencevalue(st1[r1 -- fs ']) ∧ st1[r1 -- fs '] .refval ≠ jvmref ∧ (¬ st1[st1[r1 -- fs '] .refval -- _type] .type ≤ fs .type ∨ junkref(str, st1[r1 -- fs '] .refval, st1)), cyclic(str, r1, st1), st1[st1[r1 -- fs '] .refval -- _type] .type ≤ fs .type

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 37:
r2 = st[r2 -- fs '] .refval, st1[r1 -- _type] .type = mkclasstype(class), st[r2 -- _type] = st1[r1 -- _type], class ≤ fs .type .class, is_classtype(fs .type), is_referencevalue(st1[r1 -- fs ']), cyclic(str, st1[r1 -- fs '] .refval, st1), is_obj(str, r2, st), is_obj(str, r1, st1), fs ' ∈ instfields(class), is_referencevalue(st[r2 -- fs ']), ps=(r2, 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)) ⊦ r2 = jvmref, r1 = jvmref, st1[st1[r1 -- fs '] .refval -- _type] .type ≤ fs .type, cyclic(str, r1, st1), junkref(str, r2, st), junkref(str, st1[r1 -- fs '] .refval, st1), ∃ fs0. fs0 ' ∈ instfields(class) ∧ is_referencevalue(st1[r1 -- fs0 ']) ∧ st1[r1 -- fs0 '] .refval ≠ jvmref ∧ (¬ st1[st1[r1 -- fs0 '] .refval -- _type] .type ≤ fs0 .type ∨ junkref(str, st1[r1 -- fs0 '] .refval, st1))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkclasstype(class) .class = class])]]