YES Problem: -(+(x(),-(x()))) -> 0() +(x(),-(x())) -> 0() 0() -> -(0()) Proof: Uncurry Processor: f4(-(),f4(f4(+(),x()),f4(-(),x()))) -> 0() f4(f4(+(),x()),f4(-(),x())) -> 0() 0() -> f4(-(),0()) Ground Confluence Processor: confluent by decision procedure.