Breast cancer is not colorectal cancer.
All cancers are malignant tumors. No malignant tumor can be treated at home. All colorectal cancer is cancer. Having a cold can be treated at home. Breast cancer is neither having a cold nor a malignant tumor (exclusive).
∀x (Cancer(x) → MalignantTumor(x)) ∀x (MalignantTumor(x) → ¬CanBeTreatedAtHome(x)) ∀x (ColorectalCancer(x) → Cancer(x)) ∀x (HavingACold(x) → CanBeTreatedAtHome(x)) ¬(HavingACold(breastCancer) ⊕ MalignantTumor(breastCancer))