YES

---- CR(R)
---- [Jouannaud and Kirchner, 1986]
R:
+(0(),x) -> x
+(1(),-(1())) -> 0()
+(+(x,y),z) -> +(x,+(y,z))
+(x,y) -> +(y,x)
CP_AC(R):
x -> +(0(),x)
+(x,y) -> +(0(),y,x)
x -> +(x,0())
+(x,y) -> +(y,0(),x)
+(x,y) -> +(x,y,0())
+(x,y,z) -> +(x,y,0(),z)
+(x,y) -> +(x,0(),y)
+(x,y,z) -> +(x,0(),y,z)
+(x,y) -> +(0(),x,y)
+(x,y,z) -> +(0(),x,y,z)
+(x,y) -> +(x,0(),y)
+(x,y,z) -> +(x,0(),y,z)
+(x,y) -> +(0(),x,y)
+(x,y,z) -> +(0(),x,y,z)
+(x,y) -> +(x,y,0())
+(x,y,z) -> +(x,y,0(),z)
+(x,y) -> +(x,0(),y)
+(x,y,z) -> +(x,0(),y,z)
+(x,y) -> +(0(),x,y)
+(x,y,z) -> +(0(),x,y,z)
+(x,y) -> +(x,y,0())
+(x,y,z) -> +(x,y,0(),z)
+(x,y) -> +(x,0(),y)
+(x,y,z) -> +(x,0(),y,z)
0() -> +(1(),-(1()))
0() -> +(-(1()),1())
+(0(),x) -> +(-(1()),1(),x)
+(0(),x) -> +(1(),-(1()),x)
+(x,0()) -> +(x,-(1()),1())
+(x,0()) -> +(x,1(),-(1()))