Logic locking is necessary for protecting intellectual property. Although logic-locking schemes have been proposed to resist the powerful satisfiability (SAT)-based attack, many of them are subject to removal attacks. In order to prevent removal attacks, the stripped functional logic locking-Hamming distance (SFLL-HD) scheme is proposed. The high-complexity HD checker can be also replaced by the Cascaded(CAS)-lock block. This paper proposes a new low-complexity logic-locking scheme inspired by the Generalized(G)-Anti-SAT block. By relaxing the constraint of the G-Anti-SAT design in the SFLL setting, our new logic-locking scheme reduces the logic complexity by around 37% compared to the M-CAS block with similar resistance to the SAT and removal attacks. Additionally, unlike the SFLL-HD and Mirrored (M)-CAS schemes, the proposed logic-locking block can use a large variation of functions. This makes existing or potential attacks utilizing properties of the logic function impossible.