Problem: -(+(x(),-(x()))) -> 0() +(x(),-(x())) -> 0() 0() -> -(0()) Proof: Church Rosser Transformation Processor (no redundant rules): strict: 0() -> -(0()) +(x(),-(x())) -> 0() -(+(x(),-(x()))) -> 0() weak: critical peaks: 1 -(0()) <-1|0[]- -(+(x(),-(x()))) -2|[]-> 0() Closedness Processor (*strongly -- <=7 steps*): Qed