YES Problem: 0(1(2(3(4(x1))))) -> 0(2(1(3(4(x1))))) 0(5(1(2(4(3(x1)))))) -> 0(5(2(1(4(3(x1)))))) 0(5(2(4(1(3(x1)))))) -> 0(1(5(2(4(3(x1)))))) 0(5(3(1(2(4(x1)))))) -> 0(1(5(3(2(4(x1)))))) 0(5(4(1(3(2(x1)))))) -> 0(5(4(3(1(2(x1)))))) Proof: DP Processor: DPs: 0#(1(2(3(4(x1))))) -> 0#(2(1(3(4(x1))))) 0#(5(1(2(4(3(x1)))))) -> 0#(5(2(1(4(3(x1)))))) 0#(5(2(4(1(3(x1)))))) -> 0#(1(5(2(4(3(x1)))))) 0#(5(3(1(2(4(x1)))))) -> 0#(1(5(3(2(4(x1)))))) 0#(5(4(1(3(2(x1)))))) -> 0#(5(4(3(1(2(x1)))))) TRS: 0(1(2(3(4(x1))))) -> 0(2(1(3(4(x1))))) 0(5(1(2(4(3(x1)))))) -> 0(5(2(1(4(3(x1)))))) 0(5(2(4(1(3(x1)))))) -> 0(1(5(2(4(3(x1)))))) 0(5(3(1(2(4(x1)))))) -> 0(1(5(3(2(4(x1)))))) 0(5(4(1(3(2(x1)))))) -> 0(5(4(3(1(2(x1)))))) EDG Processor: DPs: 0#(1(2(3(4(x1))))) -> 0#(2(1(3(4(x1))))) 0#(5(1(2(4(3(x1)))))) -> 0#(5(2(1(4(3(x1)))))) 0#(5(2(4(1(3(x1)))))) -> 0#(1(5(2(4(3(x1)))))) 0#(5(3(1(2(4(x1)))))) -> 0#(1(5(3(2(4(x1)))))) 0#(5(4(1(3(2(x1)))))) -> 0#(5(4(3(1(2(x1)))))) TRS: 0(1(2(3(4(x1))))) -> 0(2(1(3(4(x1))))) 0(5(1(2(4(3(x1)))))) -> 0(5(2(1(4(3(x1)))))) 0(5(2(4(1(3(x1)))))) -> 0(1(5(2(4(3(x1)))))) 0(5(3(1(2(4(x1)))))) -> 0(1(5(3(2(4(x1)))))) 0(5(4(1(3(2(x1)))))) -> 0(5(4(3(1(2(x1)))))) graph: Qed