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Proof step 19 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), contains(str0, mkclasstype(class), mkclasstype(class0)) → same-subclasses(class0, str, str0), ∀ 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, tdname+∃(str0, class3), interface∃(str0, class2), tdname+∃(str, class0), ∃ 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))

User applied rule cut formula

And obtained the following new goals

Proof step 18:
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), contains(str0, mkclasstype(class), mkclasstype(class0)) → same-subclasses(class0, str, str0), ∀ 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)) ⊦ contains(str0, mkclasstype(class), mkclasstype(class0)), class = `java.lang.Object' .class, tdname+∃(str0, class3), interface∃(str0, class2), tdname+∃(str, class0), ∃ 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))

Rule argument

[fma-arg: contains(str0, mkclasstype(class), mkclasstype(class0))]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ tdname+∃(str, class0) ∧ tdname+∃(str0, class0) → ¬ same-subclasses (class0, str, str0)])], [EXTRAFMAS : (contains(str0, mkclasstype(class), mkclasstype(class0)))]]