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Proof step 37 from proof same-subclasses-forward (previous step)

¬ ( contains(str0, ty0 .jtelemtype, mkclasstype(class0)) ∧ ty0 .jtelemtype ≤ mkclasstype(`java.lang.Object' .class) ∧ type∃(str0, mkclasstype(`java.lang.Object' .class))), ty .jtelemtype = mkclasstype(`java.lang.Object' .class), ty0 .jtelemtype .class ≤ `java.lang.Object' .class, same-subclasses(`java.lang.Object' .class, str, str0), contains(str0, ty, mkarraytype(ty0)), has_classtype(ty), ty1 ≤ ty, type∃(str0, ty0), type∃(str0, ty1), type∃(str0, ty), is_reftype(ty), has_classtype(ty0), contains(str0, ty0 .jtelemtype, mkclasstype(class0)), is_classtype(ty1) → ¬ interface∃(str0, ty1 .class) ∧ mkfs(class, ty2, fieldvar) ' ∈ instfields(ty1 .class) ∧ mkarraytype(ty0) ≤ ty2, is_arraytype(ty1) → mkarraytype(ty0) ≤ ty1 .type ⊦ contains(str0, mkclasstype(`java.lang.Object' .class), ty0 .jtelemtype), same-subclasses(class0, str, str0), contains(str0, mkclasstype(`java.lang.Object' .class), mkclasstype(class0))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 36:
ty .jtelemtype = mkclasstype(`java.lang.Object' .class), ty0 .jtelemtype .class ≤ `java.lang.Object' .class, same-subclasses(`java.lang.Object' .class, str, str0), contains(str0, ty, mkarraytype(ty0)), has_classtype(ty), ty1 ≤ ty, type∃(str0, ty0), type∃(str0, ty1), type∃(str0, ty), is_reftype(ty), has_classtype(ty0), contains(str0, ty0 .jtelemtype, mkclasstype(class0)), is_classtype(ty1) → ¬ interface∃(str0, ty1 .class) ∧ mkfs(class, ty2, fieldvar) ' ∈ instfields(ty1 .class) ∧ mkarraytype(ty0) ≤ ty2, is_arraytype(ty1) → mkarraytype(ty0) ≤ ty1 .type ⊦ contains(str0, mkclasstype(`java.lang.Object' .class), ty0 .jtelemtype), same-subclasses(class0, str, str0), contains(str0, mkclasstype(`java.lang.Object' .class), mkclasstype(class0)), ty0 .jtelemtype ≤ mkclasstype(`java.lang.Object' .class)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ tdname+∃ (str, `java.lang.Object' .class)], [CSIMPSEQ : ⊦ type∃(str, mkclasstype(class)) ↔ tdname+∃(str, class)])]]