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Proof step 23 from proof same-subclasses-01 (previous step)

tdname+∃(str0, class2), class2 ≤ class, tdname+∃(str0, class), same-subclasses(class, str, str0), class0 ≤ class3, mkfs(class1, mkclasstype(class3), fieldvar) ' ∈ instfields(class2), tdname+∃(str0, class0), ∀ class0. contains(str0, mkclasstype(class), mkclasstype(class0)) → same-subclasses(class0, str, str0), ∀ class0, str0, str, class, tys0. # tys0 < # [] → (same-subclasses-contains(class, str, str0) ∧ contains(str0, mkclasstype(class) ' + tys0 + mkclasstype(class0) ') → tdname+∃(str, class0)) ⊦ class = `java.lang.Object' .class, interface∃(str0, class2), tdname+∃(str, class0), mkclasstype(class2) ≤ mkclasstype(class) ∧ type∃(str0, mkclasstype(class2)) ∧ tdname+∃(str0, class3) ∧ ( is_classtype(mkclasstype(class2)) → ¬ interface∃(str0, mkclasstype(class2) .class) ∧ (∃ fs. fs ' ∈ instfields(mkclasstype(class2) .class) ∧ mkclasstype(class3) ≤ fs .type)) ∧ (is_arraytype(mkclasstype(class2)) → mkclasstype(class3) ≤ mkclasstype(class2) .type), ∃ ty. ty ≤ mkclasstype(class) ∧ type∃(str0, ty) ∧ tdname+∃(str0, class3) ∧ (is_classtype(ty) → ¬ interface∃(str0, ty .class) ∧ (∃ fs. fs ' ∈ instfields(ty .class) ∧ mkclasstype(class3) ≤ fs .type)) ∧ (is_arraytype(ty) → mkclasstype(class3) ≤ ty .type), ∃ 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))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 22:
tdname+∃(str0, class2), class2 ≤ class, tdname+∃(str0, class), same-subclasses(class, str, str0), class0 ≤ class3, mkfs(class1, mkclasstype(class3), fieldvar) ' ∈ instfields(class2), tdname+∃(str0, class0), ∀ class0. contains(str0, mkclasstype(class), mkclasstype(class0)) → same-subclasses(class0, str, str0), ∀ class0, str0, str, class, tys0. # tys0 < # [] → (same-subclasses-contains(class, str, str0) ∧ contains(str0, mkclasstype(class) ' + tys0 + mkclasstype(class0) ') → tdname+∃(str, class0)) ⊦ class = `java.lang.Object' .class, interface∃(str0, class2), tdname+∃(str, class0), ∃ ty. ty ≤ mkclasstype(class) ∧ type∃(str0, ty) ∧ tdname+∃(str0, class3) ∧ (is_classtype(ty) → ¬ interface∃(str0, ty .class) ∧ (∃ fs. fs ' ∈ instfields(ty .class) ∧ mkclasstype(class3) ≤ fs .type)) ∧ (is_arraytype(ty) → mkclasstype(class3) ≤ ty .type), ∃ 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)), tdname+∃(str0, class3) ∧ (∃ fs. fs ' ∈ instfields(class2) ∧ mkclasstype(class3) ≤ fs .type)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_arraytype(mkclasstype(class))], [CSIMPSEQ : ⊦ mkclasstype(class) .class = class], [CSIMPSEQ : ⊦ is_classtype(mkclasstype(class))], [CSIMPSEQ : ⊦ type∃(str, mkclasstype(class)) ↔ tdname+∃(str, class)], [CSIMPSEQ : ⊦ mkclasstype(class1) ≤ mkclasstype(class2) ↔ class1 ≤ class2])]]