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Proof step 65 from proof same-subclasses-forward (previous step)

ty1 = mkclasstype(class1), 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_classtype(ty1), mkfs(class, ty2, fieldvar) ' ∈ instfields(class1), ty3 ≤ ty2, ∀ class0. contains(str0, mkclasstype(ty .jtelemtype .class), mkclasstype(class0)) → same-subclasses(class0, str, str0) ⊦ interface∃(str0, class1), ∃ ty1, ty2. ty1 ≤ ty ∧ type∃(str0, ty1) ∧ (is_classtype(ty1) → ¬ interface∃(str0, ty1 .class) ∧ (∃ fs. fs ' ∈ instfields(ty1 .class) ∧ ty2 ≤ fs .type)) ∧ (is_arraytype(ty1) → ty2 ≤ ty1 .type) ∧ contains(str0, ty2, ty3), same-subclasses(ty3 .jtelemtype .class, str, str0) ∧ (contains(str0, ty3 .jtelemtype, mkclasstype(class0)) → same-subclasses(class0, str, str0)), ∃ fs. fs ' ∈ instfields(class1) ∧ ty3 ≤ fs .type

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 64:
has_classtype(ty3), type∃(str0, ty), class+∃(str0, class1), type∃(str0, ty3), is_classtype(ty), class1 ≤ ty .class, mkfs(class, ty2, fieldvar) ' ∈ instfields(class1), ty3 ≤ ty2, same-subclasses(ty .class, str, str0), ∀ class2. contains(str0, mkclasstype(ty .class), mkclasstype(class2)) → same-subclasses(class2, str, str0) ⊦ interface∃(str0, class1), ∃ ty1, ty2. ty1 ≤ ty ∧ type∃(str0, ty1) ∧ (is_classtype(ty1) → ¬ interface∃(str0, ty1 .class) ∧ (∃ fs. fs ' ∈ instfields(ty1 .class) ∧ ty2 ≤ fs .type)) ∧ (is_arraytype(ty1) → ty2 ≤ ty1 .type) ∧ contains(str0, ty2, ty3), same-subclasses(ty3 .jtelemtype .class, str, str0) ∧ (contains(str0, ty3 .jtelemtype, mkclasstype(class0)) → same-subclasses(class0, str, str0)), ∃ fs. fs ' ∈ instfields(class1) ∧ ty3 ≤ fs .type

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_classtype(ty) → is_reftype(ty)], [CSIMPSEQ : ⊦ is_classtype(ty) → ty .jtelemtype = ty], [CSIMPSEQ : ⊦ is_classtype(mkclasstype(class))], [CSIMPSEQ : ⊦ mkclasstype(class) ≤ ty ↔ is_classtype(ty) ∧ class ≤ ty .class], [CSIMPSEQ : ⊦ ¬ interface∃(str, class) → ( tdname+∃(str, class) ↔ class+∃(str, class))], [CSIMPSEQ : ⊦ type∃(str, mkclasstype(class)) ↔ tdname+∃(str, class)])]]