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Proof step 15 from proof contains-predefined (previous step)

type∃(str, mkclasstype(class)) ∧ is_reftype(mkclasstype(class)) ∧ ( (∃ ty1. ty1 ≤ mkclasstype(class) ∧ type∃(str, ty1) ∧ type∃(str, ty) ∧ (is_classtype(ty1) → ¬ interface∃(str, ty1 .class) ∧ (∃ fs. fs ' ∈ instfields(ty1 .class) ∧ ty ≤ fs .type)) ∧ (is_arraytype(ty1) → ty ≤ ty1 .type)) ∨ (∃ ty1, ty2. ty1 ≤ mkclasstype(class) ∧ type∃(str, ty1) ∧ (is_classtype(ty1) → ¬ interface∃(str, ty1 .class) ∧ (∃ fs. fs ' ∈ instfields(ty1 .class) ∧ ty2 ≤ fs .type)) ∧ (is_arraytype(ty1) → ty2 ≤ ty1 .type) ∧ contains(str, ty2, ty))), is_predefined_class(class), ∀ class0. tdname∃(str, class0) ∧ class0 ≤ class → is_predefined_class(class0) ⊦ class = `java.lang.Object' .class

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 14:
is_predefined_class(class), tdname+∃(str, class), ∀ class0. tdname∃(str, class0) ∧ class0 ≤ class → is_predefined_class(class0), is_classtype(ty0) ∧ ty0 .class ≤ class ∧ type∃(str, ty0) ∧ type∃(str, ty) ∧ ¬ interface∃(str, ty0 .class) ∧ fs ' ∈ instfields(ty0 .class) ∧ ty ≤ fs .type ∨ is_classtype(ty1) ∧ ty1 .class ≤ class ∧ type∃(str, ty1) ∧ ¬ interface∃(str, ty1 .class) ∧ fs0 ' ∈ instfields(ty1 .class) ∧ ty2 ≤ fs0 .type ∧ contains(str, ty2, ty) ⊦ class = `java.lang.Object' .class

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : javatype, , diff, ⊦ is_classtype(ty) → ¬ is_arraytype(ty)], [CSIMPNAMEDSEQ : typefuns, , subclass-01, ⊦ class ≠ `java.lang.Object' .class → ( ty ≤ mkclasstype(class) ↔ is_classtype(ty) ∧ ty .class ≤ class)], [CSIMPNAMEDSEQ : typefuns, , isreftype-04, ⊦ is_reftype(mkclasstype(class))], [CSIMPNAMEDSEQ : typefuns, , typeex-class, ⊦ type∃ (str, mkclasstype(class)) ↔ tdname+∃(str, class)])]]