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Proof step 9 from proof same-subclasses-forward (previous step)

contains(str0, ty .jtelemtype, ty3 .jtelemtype), has_classtype(ty), contains(str0, ty, ty3), same-subclasses(ty .jtelemtype .class, str, str0), has_classtype(ty3), is_reftype(ty), type∃(str0, ty), type∃(str0, ty1), type∃(str0, ty3), ty1 ≤ ty, is_arraytype(ty1) → ty3 ≤ ty1 .type, is_classtype(ty1) → ¬ interface∃(str0, ty1 .class) ∧ mkfs(class, ty2, fieldvar) ' ∈ instfields(ty1 .class) ∧ ty3 ≤ ty2, ∀ class0. contains(str0, ty .jtelemtype, mkclasstype(class0)) → same-subclasses(class0, str, str0), contains(str0, ty .jtelemtype, ty3 .jtelemtype) → same-subclasses(ty3 .jtelemtype .class, str, str0) ⊦ same-subclasses(ty3 .jtelemtype .class, str, str0) ∧ (contains(str0, ty3 .jtelemtype, mkclasstype(class0)) → same-subclasses(class0, str, str0))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
contains(str0, ty .jtelemtype, ty3 .jtelemtype), has_classtype(ty), contains(str0, ty, ty3), same-subclasses(ty .jtelemtype .class, str, str0), has_classtype(ty3), is_reftype(ty), type∃(str0, ty), type∃(str0, ty1), type∃(str0, ty3), ty1 ≤ ty, same-subclasses(ty3 .jtelemtype .class, str, str0), contains(str0, ty3 .jtelemtype, mkclasstype(class0)), is_arraytype(ty1) → ty3 ≤ ty1 .type, is_classtype(ty1) → ¬ interface∃(str0, ty1 .class) ∧ mkfs(class, ty2, fieldvar) ' ∈ instfields(ty1 .class) ∧ ty3 ≤ ty2, ∀ class0. contains(str0, ty .jtelemtype, mkclasstype(class0)) → same-subclasses(class0, str, str0) ⊦ same-subclasses(class0, str, str0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]