| ¬ ¬ type∃(str0, mkclasstype(class0)), class3 ≤ class4, mkfs(class1, mkclasstype(class4), fieldvar) ' ∈ instfields(class2), contains(str0, (mkclasstype(class3) ' + tys1) + mkclasstype(class0) '), tdname+∃(str0, class2), class2 ≤ class, tdname+∃(str0, class), same-subclasses(class, str, str0), ∀ class0. contains(str0, mkclasstype(class), mkclasstype(class0)) → same-subclasses(class0, str, str0), ∀ class0, str0, str, class, tys0. # tys0 < # (mkclasstype(class3) + tys1) → (same-subclasses-contains(class, str, str0) ∧ contains(str0, mkclasstype(class) ' + tys0 + mkclasstype(class0) ') → tdname+∃(str, class0)) ⊦ class = `java.lang.Object' .class, tdname+∃(str0, class3), interface∃(str0, class2), tdname+∃(str, class0), same-subclasses(class3, str, str0) ∧ (contains(str0, mkclasstype(class3), mkclasstype(class5)) → same-subclasses(class5, str, str0)), ∃ ty1, ty2. ty1 ≤ mkclasstype(class) ∧ 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, mkclasstype(class3)) |
class3 ≤ class4, mkfs(class1, mkclasstype(class4), fieldvar) ' ∈ instfields(class2), contains(str0, (mkclasstype(class3) ' + tys1) + mkclasstype(class0) '), tdname+∃(str0, class2), class2 ≤ class, tdname+∃(str0, class), same-subclasses(class, str, str0), tdname+∃(str0, class0), ∀ class0. contains(str0, mkclasstype(class), mkclasstype(class0)) → same-subclasses(class0, str, str0), ∀ class0, str0, str, class, tys0. # tys0 < # (mkclasstype(class3) + tys1) → (same-subclasses-contains(class, str, str0) ∧ contains(str0, mkclasstype(class) ' + tys0 + mkclasstype(class0) ') → tdname+∃(str, class0)) ⊦ class = `java.lang.Object' .class, tdname+∃(str0, class3), interface∃(str0, class2), tdname+∃(str, class0), same-subclasses(class3, str, str0) ∧ (contains(str0, mkclasstype(class3), mkclasstype(class5)) → same-subclasses(class5, str, str0)), ∃ ty1, ty2. ty1 ≤ mkclasstype(class) ∧ 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, mkclasstype(class3))
[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ type∃(str, mkclasstype(class)) ↔ tdname+∃(str, class)])]]