YES 1 decompositions #1 ----------- 1: -(+(x1,x2)) -> +(-(x1),-(x2)) 2: +(x1,x2) -> +(x2,x1) 3: +(+(x1,x2),x3) -> +(x1,+(x2,x3)) @Jouannaud and Kirchner's criterion --- R 1: -(+(x1,x2)) -> +(-(x1),-(x2)) 2: +(x1,x2) -> +(x2,x1) 3: +(+(x1,x2),x3) -> +(x1,+(x2,x3)) --- S 1: -(+(x1,x2)) -> +(-(x1),-(x2)) 2: +(x1,x2) -> +(x2,x1) 3: +(+(x1,x2),x3) -> +(x1,+(x2,x3))