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Proof step 200 from proof contains-subspec-better (previous step)

fs = mkfs(class, ty2, fieldvar), contains(str0, ty, ty0), type∃(str0, ty0), has_classtype(ty), same-subclasses-contains(ty .jtelemtype .class, str, str0), type∃(str, ty), is_reftype(ty), ty1 ≤ ty, type∃(str0, ty1), contains(str0, tys + ty0 '), type∃(str0, ty), type∃(str, ty0), is_arraytype(ty1) → (tys + ty0 ') .first ≤ ty1 .type, is_classtype(ty1) → ¬ interface∃(str0, ty1 .class) ∧ fs ' ∈ instfields(ty1 .class) ∧ (tys + ty0 ') .first ≤ ty2, ∀ ty0, str0, str, ty, tys0. # tys0 < # tys → ( has_classtype(ty) ∧ same-subclasses-contains(ty .jtelemtype .class, str, str0) ∧ type∃(str, ty) ∧ contains(str0, ty ' + tys0 + ty0 ') → contains(str, ty, ty0) ∨ dups(tys0) ∨ ty ∈ tys0) ⊦ contains(str, ty, ty0), dups(tys), ty ∈ tys

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 199:
contains(str0, ty, ty0), type∃(str0, ty0), has_classtype(ty), same-subclasses-contains(ty .jtelemtype .class, str, str0), type∃(str, ty), is_reftype(ty), ty1 ≤ ty, type∃(str0, ty1), contains(str0, tys + ty0 '), type∃(str0, ty), type∃(str, ty0), is_arraytype(ty1) → (tys + ty0 ') .first ≤ ty1 .type, is_classtype(ty1) → ¬ interface∃(str0, ty1 .class) ∧ mkfs(class, ty2, fieldvar) ' ∈ instfields(ty1 .class) ∧ (tys + ty0 ') .first ≤ ty2, ∀ ty0, str0, str, ty, tys0. # tys0 < # tys → ( has_classtype(ty) ∧ same-subclasses-contains(ty .jtelemtype .class, str, str0) ∧ type∃(str, ty) ∧ contains(str0, ty ' + tys0 + ty0 ') → contains(str, ty, ty0) ∨ dups(tys0) ∨ ty ∈ tys0) ⊦ contains(str, ty, ty0), dups(tys), ty ∈ tys

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]