Definition:Independent Statements

Definition
Let $p$ and $q$ be statements.

Let it be the case that:
 * $(1): \quad p$ and $q$ are not contrary
 * $(2): \quad p$ and $q$ are not subcontrary
 * $(3): \quad p$ is not superimplicant to $q$
 * $(4): \quad p$ is not subimplicant to $q$
 * $(5): \quad p$ and $q$ are not equivalent
 * $(6): \quad p$ and $q$ are not contradictory.

Then $p$ and $q$ are independent statements.