YES Problem: 0(0(x1)) -> 1(0(2(0(2(x1))))) 0(0(x1)) -> 0(2(3(4(0(2(x1)))))) 0(3(x1)) -> 0(2(3(2(x1)))) 0(3(x1)) -> 2(0(2(1(3(x1))))) 0(3(x1)) -> 2(3(0(2(2(x1))))) 0(3(x1)) -> 0(2(2(2(3(2(x1)))))) 0(0(0(x1))) -> 0(2(0(0(x1)))) 0(0(4(x1))) -> 2(4(0(0(3(2(x1)))))) 0(0(5(x1))) -> 0(5(2(0(x1)))) 0(1(3(x1))) -> 3(2(2(1(0(x1))))) 0(3(0(x1))) -> 2(0(2(3(4(0(x1)))))) 0(4(3(x1))) -> 3(0(2(4(x1)))) 0(4(3(x1))) -> 1(0(2(1(3(4(x1)))))) 0(4(3(x1))) -> 2(2(4(3(4(0(x1)))))) 0(4(5(x1))) -> 2(4(0(5(2(5(x1)))))) 0(4(5(x1))) -> 5(3(2(4(4(0(x1)))))) 0(5(0(x1))) -> 0(5(2(4(0(x1))))) 0(5(0(x1))) -> 5(0(2(3(2(0(x1)))))) 0(5(3(x1))) -> 3(2(5(3(2(0(x1)))))) 1(0(0(x1))) -> 1(0(2(5(0(2(x1)))))) 1(0(3(x1))) -> 2(1(3(0(5(2(x1)))))) 1(0(4(x1))) -> 3(0(2(1(4(x1))))) 1(0(4(x1))) -> 2(1(2(1(4(0(x1)))))) 3(0(0(x1))) -> 3(0(2(0(x1)))) 3(0(3(x1))) -> 3(0(2(3(x1)))) 3(0(3(x1))) -> 3(3(2(2(0(x1))))) 3(0(4(x1))) -> 2(2(3(4(0(x1))))) 3(0(4(x1))) -> 2(3(4(2(0(3(x1)))))) 3(0(4(x1))) -> 5(5(2(4(0(3(x1)))))) 3(3(4(x1))) -> 3(2(1(3(2(4(x1)))))) 3(5(0(x1))) -> 3(5(1(0(2(1(x1)))))) 4(0(4(x1))) -> 0(2(4(4(0(x1))))) 4(0(4(x1))) -> 1(4(0(2(4(0(x1)))))) 0(0(4(3(x1)))) -> 3(0(0(2(1(4(x1)))))) 0(0(5(3(x1)))) -> 0(5(2(5(0(3(x1)))))) 0(1(0(3(x1)))) -> 2(1(0(3(0(x1))))) 0(1(1(0(x1)))) -> 2(1(0(0(1(2(x1)))))) 0(4(0(0(x1)))) -> 0(4(0(2(1(0(x1)))))) 0(4(1(3(x1)))) -> 2(1(4(2(0(3(x1)))))) 0(4(5(3(x1)))) -> 4(3(2(5(0(x1))))) 0(4(5(3(x1)))) -> 4(3(5(0(2(4(x1)))))) 0(5(0(4(x1)))) -> 5(0(0(2(4(x1))))) 0(5(5(3(x1)))) -> 2(3(5(5(0(x1))))) 1(3(0(4(x1)))) -> 4(0(1(2(3(x1))))) 4(0(3(5(x1)))) -> 5(2(3(4(2(0(x1)))))) 0(0(1(0(4(x1))))) -> 0(0(0(1(4(2(x1)))))) 0(0(5(5(3(x1))))) -> 0(5(0(3(2(5(x1)))))) 3(0(4(3(4(x1))))) -> 3(0(3(4(2(4(x1)))))) 3(3(0(4(5(x1))))) -> 1(4(5(3(0(3(x1)))))) 3(4(2(0(3(x1))))) -> 2(3(0(2(3(4(x1)))))) Proof: String Reversal Processor: 0(0(x1)) -> 2(0(2(0(1(x1))))) 0(0(x1)) -> 2(0(4(3(2(0(x1)))))) 3(0(x1)) -> 2(3(2(0(x1)))) 3(0(x1)) -> 3(1(2(0(2(x1))))) 3(0(x1)) -> 2(2(0(3(2(x1))))) 3(0(x1)) -> 2(3(2(2(2(0(x1)))))) 0(0(0(x1))) -> 0(0(2(0(x1)))) 4(0(0(x1))) -> 2(3(0(0(4(2(x1)))))) 5(0(0(x1))) -> 0(2(5(0(x1)))) 3(1(0(x1))) -> 0(1(2(2(3(x1))))) 0(3(0(x1))) -> 0(4(3(2(0(2(x1)))))) 3(4(0(x1))) -> 4(2(0(3(x1)))) 3(4(0(x1))) -> 4(3(1(2(0(1(x1)))))) 3(4(0(x1))) -> 0(4(3(4(2(2(x1)))))) 5(4(0(x1))) -> 5(2(5(0(4(2(x1)))))) 5(4(0(x1))) -> 0(4(4(2(3(5(x1)))))) 0(5(0(x1))) -> 0(4(2(5(0(x1))))) 0(5(0(x1))) -> 0(2(3(2(0(5(x1)))))) 3(5(0(x1))) -> 0(2(3(5(2(3(x1)))))) 0(0(1(x1))) -> 2(0(5(2(0(1(x1)))))) 3(0(1(x1))) -> 2(5(0(3(1(2(x1)))))) 4(0(1(x1))) -> 4(1(2(0(3(x1))))) 4(0(1(x1))) -> 0(4(1(2(1(2(x1)))))) 0(0(3(x1))) -> 0(2(0(3(x1)))) 3(0(3(x1))) -> 3(2(0(3(x1)))) 3(0(3(x1))) -> 0(2(2(3(3(x1))))) 4(0(3(x1))) -> 0(4(3(2(2(x1))))) 4(0(3(x1))) -> 3(0(2(4(3(2(x1)))))) 4(0(3(x1))) -> 3(0(4(2(5(5(x1)))))) 4(3(3(x1))) -> 4(2(3(1(2(3(x1)))))) 0(5(3(x1))) -> 1(2(0(1(5(3(x1)))))) 4(0(4(x1))) -> 0(4(4(2(0(x1))))) 4(0(4(x1))) -> 0(4(2(0(4(1(x1)))))) 3(4(0(0(x1)))) -> 4(1(2(0(0(3(x1)))))) 3(5(0(0(x1)))) -> 3(0(5(2(5(0(x1)))))) 3(0(1(0(x1)))) -> 0(3(0(1(2(x1))))) 0(1(1(0(x1)))) -> 2(1(0(0(1(2(x1)))))) 0(0(4(0(x1)))) -> 0(1(2(0(4(0(x1)))))) 3(1(4(0(x1)))) -> 3(0(2(4(1(2(x1)))))) 3(5(4(0(x1)))) -> 0(5(2(3(4(x1))))) 3(5(4(0(x1)))) -> 4(2(0(5(3(4(x1)))))) 4(0(5(0(x1)))) -> 4(2(0(0(5(x1))))) 3(5(5(0(x1)))) -> 0(5(5(3(2(x1))))) 4(0(3(1(x1)))) -> 3(2(1(0(4(x1))))) 5(3(0(4(x1)))) -> 0(2(4(3(2(5(x1)))))) 4(0(1(0(0(x1))))) -> 2(4(1(0(0(0(x1)))))) 3(5(5(0(0(x1))))) -> 5(2(3(0(5(0(x1)))))) 4(3(4(0(3(x1))))) -> 4(2(4(3(0(3(x1)))))) 5(4(0(3(3(x1))))) -> 3(0(3(5(4(1(x1)))))) 3(0(2(4(3(x1))))) -> 4(3(2(0(3(2(x1)))))) DP Processor: DPs: 0#(0(x1)) -> 0#(1(x1)) 0#(0(x1)) -> 0#(2(0(1(x1)))) 0#(0(x1)) -> 3#(2(0(x1))) 0#(0(x1)) -> 4#(3(2(0(x1)))) 0#(0(x1)) -> 0#(4(3(2(0(x1))))) 3#(0(x1)) -> 3#(2(0(x1))) 3#(0(x1)) -> 0#(2(x1)) 3#(0(x1)) -> 3#(1(2(0(2(x1))))) 3#(0(x1)) -> 3#(2(x1)) 3#(0(x1)) -> 0#(3(2(x1))) 3#(0(x1)) -> 3#(2(2(2(0(x1))))) 0#(0(0(x1))) -> 0#(2(0(x1))) 0#(0(0(x1))) -> 0#(0(2(0(x1)))) 4#(0(0(x1))) -> 4#(2(x1)) 4#(0(0(x1))) -> 0#(4(2(x1))) 4#(0(0(x1))) -> 0#(0(4(2(x1)))) 4#(0(0(x1))) -> 3#(0(0(4(2(x1))))) 5#(0(0(x1))) -> 5#(0(x1)) 5#(0(0(x1))) -> 0#(2(5(0(x1)))) 3#(1(0(x1))) -> 3#(x1) 3#(1(0(x1))) -> 0#(1(2(2(3(x1))))) 0#(3(0(x1))) -> 0#(2(x1)) 0#(3(0(x1))) -> 3#(2(0(2(x1)))) 0#(3(0(x1))) -> 4#(3(2(0(2(x1))))) 0#(3(0(x1))) -> 0#(4(3(2(0(2(x1)))))) 3#(4(0(x1))) -> 3#(x1) 3#(4(0(x1))) -> 0#(3(x1)) 3#(4(0(x1))) -> 4#(2(0(3(x1)))) 3#(4(0(x1))) -> 0#(1(x1)) 3#(4(0(x1))) -> 3#(1(2(0(1(x1))))) 3#(4(0(x1))) -> 4#(3(1(2(0(1(x1)))))) 3#(4(0(x1))) -> 4#(2(2(x1))) 3#(4(0(x1))) -> 3#(4(2(2(x1)))) 3#(4(0(x1))) -> 4#(3(4(2(2(x1))))) 3#(4(0(x1))) -> 0#(4(3(4(2(2(x1)))))) 5#(4(0(x1))) -> 4#(2(x1)) 5#(4(0(x1))) -> 0#(4(2(x1))) 5#(4(0(x1))) -> 5#(0(4(2(x1)))) 5#(4(0(x1))) -> 5#(2(5(0(4(2(x1)))))) 5#(4(0(x1))) -> 5#(x1) 5#(4(0(x1))) -> 3#(5(x1)) 5#(4(0(x1))) -> 4#(2(3(5(x1)))) 5#(4(0(x1))) -> 4#(4(2(3(5(x1))))) 5#(4(0(x1))) -> 0#(4(4(2(3(5(x1)))))) 0#(5(0(x1))) -> 4#(2(5(0(x1)))) 0#(5(0(x1))) -> 0#(4(2(5(0(x1))))) 0#(5(0(x1))) -> 5#(x1) 0#(5(0(x1))) -> 0#(5(x1)) 0#(5(0(x1))) -> 3#(2(0(5(x1)))) 0#(5(0(x1))) -> 0#(2(3(2(0(5(x1)))))) 3#(5(0(x1))) -> 3#(x1) 3#(5(0(x1))) -> 5#(2(3(x1))) 3#(5(0(x1))) -> 3#(5(2(3(x1)))) 3#(5(0(x1))) -> 0#(2(3(5(2(3(x1)))))) 0#(0(1(x1))) -> 5#(2(0(1(x1)))) 0#(0(1(x1))) -> 0#(5(2(0(1(x1))))) 3#(0(1(x1))) -> 3#(1(2(x1))) 3#(0(1(x1))) -> 0#(3(1(2(x1)))) 3#(0(1(x1))) -> 5#(0(3(1(2(x1))))) 4#(0(1(x1))) -> 3#(x1) 4#(0(1(x1))) -> 0#(3(x1)) 4#(0(1(x1))) -> 4#(1(2(0(3(x1))))) 4#(0(1(x1))) -> 4#(1(2(1(2(x1))))) 4#(0(1(x1))) -> 0#(4(1(2(1(2(x1)))))) 0#(0(3(x1))) -> 0#(2(0(3(x1)))) 3#(0(3(x1))) -> 3#(2(0(3(x1)))) 3#(0(3(x1))) -> 3#(3(x1)) 3#(0(3(x1))) -> 0#(2(2(3(3(x1))))) 4#(0(3(x1))) -> 3#(2(2(x1))) 4#(0(3(x1))) -> 4#(3(2(2(x1)))) 4#(0(3(x1))) -> 0#(4(3(2(2(x1))))) 4#(0(3(x1))) -> 3#(2(x1)) 4#(0(3(x1))) -> 4#(3(2(x1))) 4#(0(3(x1))) -> 0#(2(4(3(2(x1))))) 4#(0(3(x1))) -> 3#(0(2(4(3(2(x1)))))) 4#(0(3(x1))) -> 5#(x1) 4#(0(3(x1))) -> 5#(5(x1)) 4#(0(3(x1))) -> 4#(2(5(5(x1)))) 4#(0(3(x1))) -> 0#(4(2(5(5(x1))))) 4#(0(3(x1))) -> 3#(0(4(2(5(5(x1)))))) 4#(3(3(x1))) -> 3#(1(2(3(x1)))) 4#(3(3(x1))) -> 4#(2(3(1(2(3(x1)))))) 0#(5(3(x1))) -> 0#(1(5(3(x1)))) 4#(0(4(x1))) -> 0#(x1) 4#(0(4(x1))) -> 4#(2(0(x1))) 4#(0(4(x1))) -> 4#(4(2(0(x1)))) 4#(0(4(x1))) -> 0#(4(4(2(0(x1))))) 4#(0(4(x1))) -> 4#(1(x1)) 4#(0(4(x1))) -> 0#(4(1(x1))) 4#(0(4(x1))) -> 4#(2(0(4(1(x1))))) 4#(0(4(x1))) -> 0#(4(2(0(4(1(x1)))))) 3#(4(0(0(x1)))) -> 3#(x1) 3#(4(0(0(x1)))) -> 0#(3(x1)) 3#(4(0(0(x1)))) -> 0#(0(3(x1))) 3#(4(0(0(x1)))) -> 4#(1(2(0(0(3(x1)))))) 3#(5(0(0(x1)))) -> 5#(0(x1)) 3#(5(0(0(x1)))) -> 5#(2(5(0(x1)))) 3#(5(0(0(x1)))) -> 0#(5(2(5(0(x1))))) 3#(5(0(0(x1)))) -> 3#(0(5(2(5(0(x1)))))) 3#(0(1(0(x1)))) -> 0#(1(2(x1))) 3#(0(1(0(x1)))) -> 3#(0(1(2(x1)))) 3#(0(1(0(x1)))) -> 0#(3(0(1(2(x1))))) 0#(1(1(0(x1)))) -> 0#(1(2(x1))) 0#(1(1(0(x1)))) -> 0#(0(1(2(x1)))) 0#(0(4(0(x1)))) -> 0#(1(2(0(4(0(x1)))))) 3#(1(4(0(x1)))) -> 4#(1(2(x1))) 3#(1(4(0(x1)))) -> 0#(2(4(1(2(x1))))) 3#(1(4(0(x1)))) -> 3#(0(2(4(1(2(x1)))))) 3#(5(4(0(x1)))) -> 4#(x1) 3#(5(4(0(x1)))) -> 3#(4(x1)) 3#(5(4(0(x1)))) -> 5#(2(3(4(x1)))) 3#(5(4(0(x1)))) -> 0#(5(2(3(4(x1))))) 3#(5(4(0(x1)))) -> 5#(3(4(x1))) 3#(5(4(0(x1)))) -> 0#(5(3(4(x1)))) 3#(5(4(0(x1)))) -> 4#(2(0(5(3(4(x1)))))) 4#(0(5(0(x1)))) -> 5#(x1) 4#(0(5(0(x1)))) -> 0#(5(x1)) 4#(0(5(0(x1)))) -> 0#(0(5(x1))) 4#(0(5(0(x1)))) -> 4#(2(0(0(5(x1))))) 3#(5(5(0(x1)))) -> 3#(2(x1)) 3#(5(5(0(x1)))) -> 5#(3(2(x1))) 3#(5(5(0(x1)))) -> 5#(5(3(2(x1)))) 3#(5(5(0(x1)))) -> 0#(5(5(3(2(x1))))) 4#(0(3(1(x1)))) -> 4#(x1) 4#(0(3(1(x1)))) -> 0#(4(x1)) 4#(0(3(1(x1)))) -> 3#(2(1(0(4(x1))))) 5#(3(0(4(x1)))) -> 5#(x1) 5#(3(0(4(x1)))) -> 3#(2(5(x1))) 5#(3(0(4(x1)))) -> 4#(3(2(5(x1)))) 5#(3(0(4(x1)))) -> 0#(2(4(3(2(5(x1)))))) 4#(0(1(0(0(x1))))) -> 0#(0(0(x1))) 4#(0(1(0(0(x1))))) -> 4#(1(0(0(0(x1))))) 3#(5(5(0(0(x1))))) -> 5#(0(x1)) 3#(5(5(0(0(x1))))) -> 0#(5(0(x1))) 3#(5(5(0(0(x1))))) -> 3#(0(5(0(x1)))) 3#(5(5(0(0(x1))))) -> 5#(2(3(0(5(0(x1)))))) 4#(3(4(0(3(x1))))) -> 3#(0(3(x1))) 4#(3(4(0(3(x1))))) -> 4#(3(0(3(x1)))) 4#(3(4(0(3(x1))))) -> 4#(2(4(3(0(3(x1)))))) 5#(4(0(3(3(x1))))) -> 4#(1(x1)) 5#(4(0(3(3(x1))))) -> 5#(4(1(x1))) 5#(4(0(3(3(x1))))) -> 3#(5(4(1(x1)))) 5#(4(0(3(3(x1))))) -> 0#(3(5(4(1(x1))))) 5#(4(0(3(3(x1))))) -> 3#(0(3(5(4(1(x1)))))) 3#(0(2(4(3(x1))))) -> 3#(2(x1)) 3#(0(2(4(3(x1))))) -> 0#(3(2(x1))) 3#(0(2(4(3(x1))))) -> 3#(2(0(3(2(x1))))) 3#(0(2(4(3(x1))))) -> 4#(3(2(0(3(2(x1)))))) TRS: 0(0(x1)) -> 2(0(2(0(1(x1))))) 0(0(x1)) -> 2(0(4(3(2(0(x1)))))) 3(0(x1)) -> 2(3(2(0(x1)))) 3(0(x1)) -> 3(1(2(0(2(x1))))) 3(0(x1)) -> 2(2(0(3(2(x1))))) 3(0(x1)) -> 2(3(2(2(2(0(x1)))))) 0(0(0(x1))) -> 0(0(2(0(x1)))) 4(0(0(x1))) -> 2(3(0(0(4(2(x1)))))) 5(0(0(x1))) -> 0(2(5(0(x1)))) 3(1(0(x1))) -> 0(1(2(2(3(x1))))) 0(3(0(x1))) -> 0(4(3(2(0(2(x1)))))) 3(4(0(x1))) -> 4(2(0(3(x1)))) 3(4(0(x1))) -> 4(3(1(2(0(1(x1)))))) 3(4(0(x1))) -> 0(4(3(4(2(2(x1)))))) 5(4(0(x1))) -> 5(2(5(0(4(2(x1)))))) 5(4(0(x1))) -> 0(4(4(2(3(5(x1)))))) 0(5(0(x1))) -> 0(4(2(5(0(x1))))) 0(5(0(x1))) -> 0(2(3(2(0(5(x1)))))) 3(5(0(x1))) -> 0(2(3(5(2(3(x1)))))) 0(0(1(x1))) -> 2(0(5(2(0(1(x1)))))) 3(0(1(x1))) -> 2(5(0(3(1(2(x1)))))) 4(0(1(x1))) -> 4(1(2(0(3(x1))))) 4(0(1(x1))) -> 0(4(1(2(1(2(x1)))))) 0(0(3(x1))) -> 0(2(0(3(x1)))) 3(0(3(x1))) -> 3(2(0(3(x1)))) 3(0(3(x1))) -> 0(2(2(3(3(x1))))) 4(0(3(x1))) -> 0(4(3(2(2(x1))))) 4(0(3(x1))) -> 3(0(2(4(3(2(x1)))))) 4(0(3(x1))) -> 3(0(4(2(5(5(x1)))))) 4(3(3(x1))) -> 4(2(3(1(2(3(x1)))))) 0(5(3(x1))) -> 1(2(0(1(5(3(x1)))))) 4(0(4(x1))) -> 0(4(4(2(0(x1))))) 4(0(4(x1))) -> 0(4(2(0(4(1(x1)))))) 3(4(0(0(x1)))) -> 4(1(2(0(0(3(x1)))))) 3(5(0(0(x1)))) -> 3(0(5(2(5(0(x1)))))) 3(0(1(0(x1)))) -> 0(3(0(1(2(x1))))) 0(1(1(0(x1)))) -> 2(1(0(0(1(2(x1)))))) 0(0(4(0(x1)))) -> 0(1(2(0(4(0(x1)))))) 3(1(4(0(x1)))) -> 3(0(2(4(1(2(x1)))))) 3(5(4(0(x1)))) -> 0(5(2(3(4(x1))))) 3(5(4(0(x1)))) -> 4(2(0(5(3(4(x1)))))) 4(0(5(0(x1)))) -> 4(2(0(0(5(x1))))) 3(5(5(0(x1)))) -> 0(5(5(3(2(x1))))) 4(0(3(1(x1)))) -> 3(2(1(0(4(x1))))) 5(3(0(4(x1)))) -> 0(2(4(3(2(5(x1)))))) 4(0(1(0(0(x1))))) -> 2(4(1(0(0(0(x1)))))) 3(5(5(0(0(x1))))) -> 5(2(3(0(5(0(x1)))))) 4(3(4(0(3(x1))))) -> 4(2(4(3(0(3(x1)))))) 5(4(0(3(3(x1))))) -> 3(0(3(5(4(1(x1)))))) 3(0(2(4(3(x1))))) -> 4(3(2(0(3(2(x1)))))) TDG Processor: DPs: 0#(0(x1)) -> 0#(1(x1)) 0#(0(x1)) -> 0#(2(0(1(x1)))) 0#(0(x1)) -> 3#(2(0(x1))) 0#(0(x1)) -> 4#(3(2(0(x1)))) 0#(0(x1)) -> 0#(4(3(2(0(x1))))) 3#(0(x1)) -> 3#(2(0(x1))) 3#(0(x1)) -> 0#(2(x1)) 3#(0(x1)) -> 3#(1(2(0(2(x1))))) 3#(0(x1)) -> 3#(2(x1)) 3#(0(x1)) -> 0#(3(2(x1))) 3#(0(x1)) -> 3#(2(2(2(0(x1))))) 0#(0(0(x1))) -> 0#(2(0(x1))) 0#(0(0(x1))) -> 0#(0(2(0(x1)))) 4#(0(0(x1))) -> 4#(2(x1)) 4#(0(0(x1))) -> 0#(4(2(x1))) 4#(0(0(x1))) -> 0#(0(4(2(x1)))) 4#(0(0(x1))) -> 3#(0(0(4(2(x1))))) 5#(0(0(x1))) -> 5#(0(x1)) 5#(0(0(x1))) -> 0#(2(5(0(x1)))) 3#(1(0(x1))) -> 3#(x1) 3#(1(0(x1))) -> 0#(1(2(2(3(x1))))) 0#(3(0(x1))) -> 0#(2(x1)) 0#(3(0(x1))) -> 3#(2(0(2(x1)))) 0#(3(0(x1))) -> 4#(3(2(0(2(x1))))) 0#(3(0(x1))) -> 0#(4(3(2(0(2(x1)))))) 3#(4(0(x1))) -> 3#(x1) 3#(4(0(x1))) -> 0#(3(x1)) 3#(4(0(x1))) -> 4#(2(0(3(x1)))) 3#(4(0(x1))) -> 0#(1(x1)) 3#(4(0(x1))) -> 3#(1(2(0(1(x1))))) 3#(4(0(x1))) -> 4#(3(1(2(0(1(x1)))))) 3#(4(0(x1))) -> 4#(2(2(x1))) 3#(4(0(x1))) -> 3#(4(2(2(x1)))) 3#(4(0(x1))) -> 4#(3(4(2(2(x1))))) 3#(4(0(x1))) -> 0#(4(3(4(2(2(x1)))))) 5#(4(0(x1))) -> 4#(2(x1)) 5#(4(0(x1))) -> 0#(4(2(x1))) 5#(4(0(x1))) -> 5#(0(4(2(x1)))) 5#(4(0(x1))) -> 5#(2(5(0(4(2(x1)))))) 5#(4(0(x1))) -> 5#(x1) 5#(4(0(x1))) -> 3#(5(x1)) 5#(4(0(x1))) -> 4#(2(3(5(x1)))) 5#(4(0(x1))) -> 4#(4(2(3(5(x1))))) 5#(4(0(x1))) -> 0#(4(4(2(3(5(x1)))))) 0#(5(0(x1))) -> 4#(2(5(0(x1)))) 0#(5(0(x1))) -> 0#(4(2(5(0(x1))))) 0#(5(0(x1))) -> 5#(x1) 0#(5(0(x1))) -> 0#(5(x1)) 0#(5(0(x1))) -> 3#(2(0(5(x1)))) 0#(5(0(x1))) -> 0#(2(3(2(0(5(x1)))))) 3#(5(0(x1))) -> 3#(x1) 3#(5(0(x1))) -> 5#(2(3(x1))) 3#(5(0(x1))) -> 3#(5(2(3(x1)))) 3#(5(0(x1))) -> 0#(2(3(5(2(3(x1)))))) 0#(0(1(x1))) -> 5#(2(0(1(x1)))) 0#(0(1(x1))) -> 0#(5(2(0(1(x1))))) 3#(0(1(x1))) -> 3#(1(2(x1))) 3#(0(1(x1))) -> 0#(3(1(2(x1)))) 3#(0(1(x1))) -> 5#(0(3(1(2(x1))))) 4#(0(1(x1))) -> 3#(x1) 4#(0(1(x1))) -> 0#(3(x1)) 4#(0(1(x1))) -> 4#(1(2(0(3(x1))))) 4#(0(1(x1))) -> 4#(1(2(1(2(x1))))) 4#(0(1(x1))) -> 0#(4(1(2(1(2(x1)))))) 0#(0(3(x1))) -> 0#(2(0(3(x1)))) 3#(0(3(x1))) -> 3#(2(0(3(x1)))) 3#(0(3(x1))) -> 3#(3(x1)) 3#(0(3(x1))) -> 0#(2(2(3(3(x1))))) 4#(0(3(x1))) -> 3#(2(2(x1))) 4#(0(3(x1))) -> 4#(3(2(2(x1)))) 4#(0(3(x1))) -> 0#(4(3(2(2(x1))))) 4#(0(3(x1))) -> 3#(2(x1)) 4#(0(3(x1))) -> 4#(3(2(x1))) 4#(0(3(x1))) -> 0#(2(4(3(2(x1))))) 4#(0(3(x1))) -> 3#(0(2(4(3(2(x1)))))) 4#(0(3(x1))) -> 5#(x1) 4#(0(3(x1))) -> 5#(5(x1)) 4#(0(3(x1))) -> 4#(2(5(5(x1)))) 4#(0(3(x1))) -> 0#(4(2(5(5(x1))))) 4#(0(3(x1))) -> 3#(0(4(2(5(5(x1)))))) 4#(3(3(x1))) -> 3#(1(2(3(x1)))) 4#(3(3(x1))) -> 4#(2(3(1(2(3(x1)))))) 0#(5(3(x1))) -> 0#(1(5(3(x1)))) 4#(0(4(x1))) -> 0#(x1) 4#(0(4(x1))) -> 4#(2(0(x1))) 4#(0(4(x1))) -> 4#(4(2(0(x1)))) 4#(0(4(x1))) -> 0#(4(4(2(0(x1))))) 4#(0(4(x1))) -> 4#(1(x1)) 4#(0(4(x1))) -> 0#(4(1(x1))) 4#(0(4(x1))) -> 4#(2(0(4(1(x1))))) 4#(0(4(x1))) -> 0#(4(2(0(4(1(x1)))))) 3#(4(0(0(x1)))) -> 3#(x1) 3#(4(0(0(x1)))) -> 0#(3(x1)) 3#(4(0(0(x1)))) -> 0#(0(3(x1))) 3#(4(0(0(x1)))) -> 4#(1(2(0(0(3(x1)))))) 3#(5(0(0(x1)))) -> 5#(0(x1)) 3#(5(0(0(x1)))) -> 5#(2(5(0(x1)))) 3#(5(0(0(x1)))) -> 0#(5(2(5(0(x1))))) 3#(5(0(0(x1)))) -> 3#(0(5(2(5(0(x1)))))) 3#(0(1(0(x1)))) -> 0#(1(2(x1))) 3#(0(1(0(x1)))) -> 3#(0(1(2(x1)))) 3#(0(1(0(x1)))) -> 0#(3(0(1(2(x1))))) 0#(1(1(0(x1)))) -> 0#(1(2(x1))) 0#(1(1(0(x1)))) -> 0#(0(1(2(x1)))) 0#(0(4(0(x1)))) -> 0#(1(2(0(4(0(x1)))))) 3#(1(4(0(x1)))) -> 4#(1(2(x1))) 3#(1(4(0(x1)))) -> 0#(2(4(1(2(x1))))) 3#(1(4(0(x1)))) -> 3#(0(2(4(1(2(x1)))))) 3#(5(4(0(x1)))) -> 4#(x1) 3#(5(4(0(x1)))) -> 3#(4(x1)) 3#(5(4(0(x1)))) -> 5#(2(3(4(x1)))) 3#(5(4(0(x1)))) -> 0#(5(2(3(4(x1))))) 3#(5(4(0(x1)))) -> 5#(3(4(x1))) 3#(5(4(0(x1)))) -> 0#(5(3(4(x1)))) 3#(5(4(0(x1)))) -> 4#(2(0(5(3(4(x1)))))) 4#(0(5(0(x1)))) -> 5#(x1) 4#(0(5(0(x1)))) -> 0#(5(x1)) 4#(0(5(0(x1)))) -> 0#(0(5(x1))) 4#(0(5(0(x1)))) -> 4#(2(0(0(5(x1))))) 3#(5(5(0(x1)))) -> 3#(2(x1)) 3#(5(5(0(x1)))) -> 5#(3(2(x1))) 3#(5(5(0(x1)))) -> 5#(5(3(2(x1)))) 3#(5(5(0(x1)))) -> 0#(5(5(3(2(x1))))) 4#(0(3(1(x1)))) -> 4#(x1) 4#(0(3(1(x1)))) -> 0#(4(x1)) 4#(0(3(1(x1)))) -> 3#(2(1(0(4(x1))))) 5#(3(0(4(x1)))) -> 5#(x1) 5#(3(0(4(x1)))) -> 3#(2(5(x1))) 5#(3(0(4(x1)))) -> 4#(3(2(5(x1)))) 5#(3(0(4(x1)))) -> 0#(2(4(3(2(5(x1)))))) 4#(0(1(0(0(x1))))) -> 0#(0(0(x1))) 4#(0(1(0(0(x1))))) -> 4#(1(0(0(0(x1))))) 3#(5(5(0(0(x1))))) -> 5#(0(x1)) 3#(5(5(0(0(x1))))) -> 0#(5(0(x1))) 3#(5(5(0(0(x1))))) -> 3#(0(5(0(x1)))) 3#(5(5(0(0(x1))))) -> 5#(2(3(0(5(0(x1)))))) 4#(3(4(0(3(x1))))) -> 3#(0(3(x1))) 4#(3(4(0(3(x1))))) -> 4#(3(0(3(x1)))) 4#(3(4(0(3(x1))))) -> 4#(2(4(3(0(3(x1)))))) 5#(4(0(3(3(x1))))) -> 4#(1(x1)) 5#(4(0(3(3(x1))))) -> 5#(4(1(x1))) 5#(4(0(3(3(x1))))) -> 3#(5(4(1(x1)))) 5#(4(0(3(3(x1))))) -> 0#(3(5(4(1(x1))))) 5#(4(0(3(3(x1))))) -> 3#(0(3(5(4(1(x1)))))) 3#(0(2(4(3(x1))))) -> 3#(2(x1)) 3#(0(2(4(3(x1))))) -> 0#(3(2(x1))) 3#(0(2(4(3(x1))))) -> 3#(2(0(3(2(x1))))) 3#(0(2(4(3(x1))))) -> 4#(3(2(0(3(2(x1)))))) TRS: 0(0(x1)) -> 2(0(2(0(1(x1))))) 0(0(x1)) -> 2(0(4(3(2(0(x1)))))) 3(0(x1)) -> 2(3(2(0(x1)))) 3(0(x1)) -> 3(1(2(0(2(x1))))) 3(0(x1)) -> 2(2(0(3(2(x1))))) 3(0(x1)) -> 2(3(2(2(2(0(x1)))))) 0(0(0(x1))) -> 0(0(2(0(x1)))) 4(0(0(x1))) -> 2(3(0(0(4(2(x1)))))) 5(0(0(x1))) -> 0(2(5(0(x1)))) 3(1(0(x1))) -> 0(1(2(2(3(x1))))) 0(3(0(x1))) -> 0(4(3(2(0(2(x1)))))) 3(4(0(x1))) -> 4(2(0(3(x1)))) 3(4(0(x1))) -> 4(3(1(2(0(1(x1)))))) 3(4(0(x1))) -> 0(4(3(4(2(2(x1)))))) 5(4(0(x1))) -> 5(2(5(0(4(2(x1)))))) 5(4(0(x1))) -> 0(4(4(2(3(5(x1)))))) 0(5(0(x1))) -> 0(4(2(5(0(x1))))) 0(5(0(x1))) -> 0(2(3(2(0(5(x1)))))) 3(5(0(x1))) -> 0(2(3(5(2(3(x1)))))) 0(0(1(x1))) -> 2(0(5(2(0(1(x1)))))) 3(0(1(x1))) -> 2(5(0(3(1(2(x1)))))) 4(0(1(x1))) -> 4(1(2(0(3(x1))))) 4(0(1(x1))) -> 0(4(1(2(1(2(x1)))))) 0(0(3(x1))) -> 0(2(0(3(x1)))) 3(0(3(x1))) -> 3(2(0(3(x1)))) 3(0(3(x1))) -> 0(2(2(3(3(x1))))) 4(0(3(x1))) -> 0(4(3(2(2(x1))))) 4(0(3(x1))) -> 3(0(2(4(3(2(x1)))))) 4(0(3(x1))) -> 3(0(4(2(5(5(x1)))))) 4(3(3(x1))) -> 4(2(3(1(2(3(x1)))))) 0(5(3(x1))) -> 1(2(0(1(5(3(x1)))))) 4(0(4(x1))) -> 0(4(4(2(0(x1))))) 4(0(4(x1))) -> 0(4(2(0(4(1(x1)))))) 3(4(0(0(x1)))) -> 4(1(2(0(0(3(x1)))))) 3(5(0(0(x1)))) -> 3(0(5(2(5(0(x1)))))) 3(0(1(0(x1)))) -> 0(3(0(1(2(x1))))) 0(1(1(0(x1)))) -> 2(1(0(0(1(2(x1)))))) 0(0(4(0(x1)))) -> 0(1(2(0(4(0(x1)))))) 3(1(4(0(x1)))) -> 3(0(2(4(1(2(x1)))))) 3(5(4(0(x1)))) -> 0(5(2(3(4(x1))))) 3(5(4(0(x1)))) -> 4(2(0(5(3(4(x1)))))) 4(0(5(0(x1)))) -> 4(2(0(0(5(x1))))) 3(5(5(0(x1)))) -> 0(5(5(3(2(x1))))) 4(0(3(1(x1)))) -> 3(2(1(0(4(x1))))) 5(3(0(4(x1)))) -> 0(2(4(3(2(5(x1)))))) 4(0(1(0(0(x1))))) -> 2(4(1(0(0(0(x1)))))) 3(5(5(0(0(x1))))) -> 5(2(3(0(5(0(x1)))))) 4(3(4(0(3(x1))))) -> 4(2(4(3(0(3(x1)))))) 5(4(0(3(3(x1))))) -> 3(0(3(5(4(1(x1)))))) 3(0(2(4(3(x1))))) -> 4(3(2(0(3(2(x1)))))) graph: ... EDG Processor: DPs: 0#(0(x1)) -> 0#(1(x1)) 0#(0(x1)) -> 0#(2(0(1(x1)))) 0#(0(x1)) -> 3#(2(0(x1))) 0#(0(x1)) -> 4#(3(2(0(x1)))) 0#(0(x1)) -> 0#(4(3(2(0(x1))))) 3#(0(x1)) -> 3#(2(0(x1))) 3#(0(x1)) -> 0#(2(x1)) 3#(0(x1)) -> 3#(1(2(0(2(x1))))) 3#(0(x1)) -> 3#(2(x1)) 3#(0(x1)) -> 0#(3(2(x1))) 3#(0(x1)) -> 3#(2(2(2(0(x1))))) 0#(0(0(x1))) -> 0#(2(0(x1))) 0#(0(0(x1))) -> 0#(0(2(0(x1)))) 4#(0(0(x1))) -> 4#(2(x1)) 4#(0(0(x1))) -> 0#(4(2(x1))) 4#(0(0(x1))) -> 0#(0(4(2(x1)))) 4#(0(0(x1))) -> 3#(0(0(4(2(x1))))) 5#(0(0(x1))) -> 5#(0(x1)) 5#(0(0(x1))) -> 0#(2(5(0(x1)))) 3#(1(0(x1))) -> 3#(x1) 3#(1(0(x1))) -> 0#(1(2(2(3(x1))))) 0#(3(0(x1))) -> 0#(2(x1)) 0#(3(0(x1))) -> 3#(2(0(2(x1)))) 0#(3(0(x1))) -> 4#(3(2(0(2(x1))))) 0#(3(0(x1))) -> 0#(4(3(2(0(2(x1)))))) 3#(4(0(x1))) -> 3#(x1) 3#(4(0(x1))) -> 0#(3(x1)) 3#(4(0(x1))) -> 4#(2(0(3(x1)))) 3#(4(0(x1))) -> 0#(1(x1)) 3#(4(0(x1))) -> 3#(1(2(0(1(x1))))) 3#(4(0(x1))) -> 4#(3(1(2(0(1(x1)))))) 3#(4(0(x1))) -> 4#(2(2(x1))) 3#(4(0(x1))) -> 3#(4(2(2(x1)))) 3#(4(0(x1))) -> 4#(3(4(2(2(x1))))) 3#(4(0(x1))) -> 0#(4(3(4(2(2(x1)))))) 5#(4(0(x1))) -> 4#(2(x1)) 5#(4(0(x1))) -> 0#(4(2(x1))) 5#(4(0(x1))) -> 5#(0(4(2(x1)))) 5#(4(0(x1))) -> 5#(2(5(0(4(2(x1)))))) 5#(4(0(x1))) -> 5#(x1) 5#(4(0(x1))) -> 3#(5(x1)) 5#(4(0(x1))) -> 4#(2(3(5(x1)))) 5#(4(0(x1))) -> 4#(4(2(3(5(x1))))) 5#(4(0(x1))) -> 0#(4(4(2(3(5(x1)))))) 0#(5(0(x1))) -> 4#(2(5(0(x1)))) 0#(5(0(x1))) -> 0#(4(2(5(0(x1))))) 0#(5(0(x1))) -> 5#(x1) 0#(5(0(x1))) -> 0#(5(x1)) 0#(5(0(x1))) -> 3#(2(0(5(x1)))) 0#(5(0(x1))) -> 0#(2(3(2(0(5(x1)))))) 3#(5(0(x1))) -> 3#(x1) 3#(5(0(x1))) -> 5#(2(3(x1))) 3#(5(0(x1))) -> 3#(5(2(3(x1)))) 3#(5(0(x1))) -> 0#(2(3(5(2(3(x1)))))) 0#(0(1(x1))) -> 5#(2(0(1(x1)))) 0#(0(1(x1))) -> 0#(5(2(0(1(x1))))) 3#(0(1(x1))) -> 3#(1(2(x1))) 3#(0(1(x1))) -> 0#(3(1(2(x1)))) 3#(0(1(x1))) -> 5#(0(3(1(2(x1))))) 4#(0(1(x1))) -> 3#(x1) 4#(0(1(x1))) -> 0#(3(x1)) 4#(0(1(x1))) -> 4#(1(2(0(3(x1))))) 4#(0(1(x1))) -> 4#(1(2(1(2(x1))))) 4#(0(1(x1))) -> 0#(4(1(2(1(2(x1)))))) 0#(0(3(x1))) -> 0#(2(0(3(x1)))) 3#(0(3(x1))) -> 3#(2(0(3(x1)))) 3#(0(3(x1))) -> 3#(3(x1)) 3#(0(3(x1))) -> 0#(2(2(3(3(x1))))) 4#(0(3(x1))) -> 3#(2(2(x1))) 4#(0(3(x1))) -> 4#(3(2(2(x1)))) 4#(0(3(x1))) -> 0#(4(3(2(2(x1))))) 4#(0(3(x1))) -> 3#(2(x1)) 4#(0(3(x1))) -> 4#(3(2(x1))) 4#(0(3(x1))) -> 0#(2(4(3(2(x1))))) 4#(0(3(x1))) -> 3#(0(2(4(3(2(x1)))))) 4#(0(3(x1))) -> 5#(x1) 4#(0(3(x1))) -> 5#(5(x1)) 4#(0(3(x1))) -> 4#(2(5(5(x1)))) 4#(0(3(x1))) -> 0#(4(2(5(5(x1))))) 4#(0(3(x1))) -> 3#(0(4(2(5(5(x1)))))) 4#(3(3(x1))) -> 3#(1(2(3(x1)))) 4#(3(3(x1))) -> 4#(2(3(1(2(3(x1)))))) 0#(5(3(x1))) -> 0#(1(5(3(x1)))) 4#(0(4(x1))) -> 0#(x1) 4#(0(4(x1))) -> 4#(2(0(x1))) 4#(0(4(x1))) -> 4#(4(2(0(x1)))) 4#(0(4(x1))) -> 0#(4(4(2(0(x1))))) 4#(0(4(x1))) -> 4#(1(x1)) 4#(0(4(x1))) -> 0#(4(1(x1))) 4#(0(4(x1))) -> 4#(2(0(4(1(x1))))) 4#(0(4(x1))) -> 0#(4(2(0(4(1(x1)))))) 3#(4(0(0(x1)))) -> 3#(x1) 3#(4(0(0(x1)))) -> 0#(3(x1)) 3#(4(0(0(x1)))) -> 0#(0(3(x1))) 3#(4(0(0(x1)))) -> 4#(1(2(0(0(3(x1)))))) 3#(5(0(0(x1)))) -> 5#(0(x1)) 3#(5(0(0(x1)))) -> 5#(2(5(0(x1)))) 3#(5(0(0(x1)))) -> 0#(5(2(5(0(x1))))) 3#(5(0(0(x1)))) -> 3#(0(5(2(5(0(x1)))))) 3#(0(1(0(x1)))) -> 0#(1(2(x1))) 3#(0(1(0(x1)))) -> 3#(0(1(2(x1)))) 3#(0(1(0(x1)))) -> 0#(3(0(1(2(x1))))) 0#(1(1(0(x1)))) -> 0#(1(2(x1))) 0#(1(1(0(x1)))) -> 0#(0(1(2(x1)))) 0#(0(4(0(x1)))) -> 0#(1(2(0(4(0(x1)))))) 3#(1(4(0(x1)))) -> 4#(1(2(x1))) 3#(1(4(0(x1)))) -> 0#(2(4(1(2(x1))))) 3#(1(4(0(x1)))) -> 3#(0(2(4(1(2(x1)))))) 3#(5(4(0(x1)))) -> 4#(x1) 3#(5(4(0(x1)))) -> 3#(4(x1)) 3#(5(4(0(x1)))) -> 5#(2(3(4(x1)))) 3#(5(4(0(x1)))) -> 0#(5(2(3(4(x1))))) 3#(5(4(0(x1)))) -> 5#(3(4(x1))) 3#(5(4(0(x1)))) -> 0#(5(3(4(x1)))) 3#(5(4(0(x1)))) -> 4#(2(0(5(3(4(x1)))))) 4#(0(5(0(x1)))) -> 5#(x1) 4#(0(5(0(x1)))) -> 0#(5(x1)) 4#(0(5(0(x1)))) -> 0#(0(5(x1))) 4#(0(5(0(x1)))) -> 4#(2(0(0(5(x1))))) 3#(5(5(0(x1)))) -> 3#(2(x1)) 3#(5(5(0(x1)))) -> 5#(3(2(x1))) 3#(5(5(0(x1)))) -> 5#(5(3(2(x1)))) 3#(5(5(0(x1)))) -> 0#(5(5(3(2(x1))))) 4#(0(3(1(x1)))) -> 4#(x1) 4#(0(3(1(x1)))) -> 0#(4(x1)) 4#(0(3(1(x1)))) -> 3#(2(1(0(4(x1))))) 5#(3(0(4(x1)))) -> 5#(x1) 5#(3(0(4(x1)))) -> 3#(2(5(x1))) 5#(3(0(4(x1)))) -> 4#(3(2(5(x1)))) 5#(3(0(4(x1)))) -> 0#(2(4(3(2(5(x1)))))) 4#(0(1(0(0(x1))))) -> 0#(0(0(x1))) 4#(0(1(0(0(x1))))) -> 4#(1(0(0(0(x1))))) 3#(5(5(0(0(x1))))) -> 5#(0(x1)) 3#(5(5(0(0(x1))))) -> 0#(5(0(x1))) 3#(5(5(0(0(x1))))) -> 3#(0(5(0(x1)))) 3#(5(5(0(0(x1))))) -> 5#(2(3(0(5(0(x1)))))) 4#(3(4(0(3(x1))))) -> 3#(0(3(x1))) 4#(3(4(0(3(x1))))) -> 4#(3(0(3(x1)))) 4#(3(4(0(3(x1))))) -> 4#(2(4(3(0(3(x1)))))) 5#(4(0(3(3(x1))))) -> 4#(1(x1)) 5#(4(0(3(3(x1))))) -> 5#(4(1(x1))) 5#(4(0(3(3(x1))))) -> 3#(5(4(1(x1)))) 5#(4(0(3(3(x1))))) -> 0#(3(5(4(1(x1))))) 5#(4(0(3(3(x1))))) -> 3#(0(3(5(4(1(x1)))))) 3#(0(2(4(3(x1))))) -> 3#(2(x1)) 3#(0(2(4(3(x1))))) -> 0#(3(2(x1))) 3#(0(2(4(3(x1))))) -> 3#(2(0(3(2(x1))))) 3#(0(2(4(3(x1))))) -> 4#(3(2(0(3(2(x1)))))) TRS: 0(0(x1)) -> 2(0(2(0(1(x1))))) 0(0(x1)) -> 2(0(4(3(2(0(x1)))))) 3(0(x1)) -> 2(3(2(0(x1)))) 3(0(x1)) -> 3(1(2(0(2(x1))))) 3(0(x1)) -> 2(2(0(3(2(x1))))) 3(0(x1)) -> 2(3(2(2(2(0(x1)))))) 0(0(0(x1))) -> 0(0(2(0(x1)))) 4(0(0(x1))) -> 2(3(0(0(4(2(x1)))))) 5(0(0(x1))) -> 0(2(5(0(x1)))) 3(1(0(x1))) -> 0(1(2(2(3(x1))))) 0(3(0(x1))) -> 0(4(3(2(0(2(x1)))))) 3(4(0(x1))) -> 4(2(0(3(x1)))) 3(4(0(x1))) -> 4(3(1(2(0(1(x1)))))) 3(4(0(x1))) -> 0(4(3(4(2(2(x1)))))) 5(4(0(x1))) -> 5(2(5(0(4(2(x1)))))) 5(4(0(x1))) -> 0(4(4(2(3(5(x1)))))) 0(5(0(x1))) -> 0(4(2(5(0(x1))))) 0(5(0(x1))) -> 0(2(3(2(0(5(x1)))))) 3(5(0(x1))) -> 0(2(3(5(2(3(x1)))))) 0(0(1(x1))) -> 2(0(5(2(0(1(x1)))))) 3(0(1(x1))) -> 2(5(0(3(1(2(x1)))))) 4(0(1(x1))) -> 4(1(2(0(3(x1))))) 4(0(1(x1))) -> 0(4(1(2(1(2(x1)))))) 0(0(3(x1))) -> 0(2(0(3(x1)))) 3(0(3(x1))) -> 3(2(0(3(x1)))) 3(0(3(x1))) -> 0(2(2(3(3(x1))))) 4(0(3(x1))) -> 0(4(3(2(2(x1))))) 4(0(3(x1))) -> 3(0(2(4(3(2(x1)))))) 4(0(3(x1))) -> 3(0(4(2(5(5(x1)))))) 4(3(3(x1))) -> 4(2(3(1(2(3(x1)))))) 0(5(3(x1))) -> 1(2(0(1(5(3(x1)))))) 4(0(4(x1))) -> 0(4(4(2(0(x1))))) 4(0(4(x1))) -> 0(4(2(0(4(1(x1)))))) 3(4(0(0(x1)))) -> 4(1(2(0(0(3(x1)))))) 3(5(0(0(x1)))) -> 3(0(5(2(5(0(x1)))))) 3(0(1(0(x1)))) -> 0(3(0(1(2(x1))))) 0(1(1(0(x1)))) -> 2(1(0(0(1(2(x1)))))) 0(0(4(0(x1)))) -> 0(1(2(0(4(0(x1)))))) 3(1(4(0(x1)))) -> 3(0(2(4(1(2(x1)))))) 3(5(4(0(x1)))) -> 0(5(2(3(4(x1))))) 3(5(4(0(x1)))) -> 4(2(0(5(3(4(x1)))))) 4(0(5(0(x1)))) -> 4(2(0(0(5(x1))))) 3(5(5(0(x1)))) -> 0(5(5(3(2(x1))))) 4(0(3(1(x1)))) -> 3(2(1(0(4(x1))))) 5(3(0(4(x1)))) -> 0(2(4(3(2(5(x1)))))) 4(0(1(0(0(x1))))) -> 2(4(1(0(0(0(x1)))))) 3(5(5(0(0(x1))))) -> 5(2(3(0(5(0(x1)))))) 4(3(4(0(3(x1))))) -> 4(2(4(3(0(3(x1)))))) 5(4(0(3(3(x1))))) -> 3(0(3(5(4(1(x1)))))) 3(0(2(4(3(x1))))) -> 4(3(2(0(3(2(x1)))))) graph: ... SCC Processor: #sccs: 2 #rules: 40 #arcs: 1381/21904 DPs: 5#(3(0(4(x1)))) -> 5#(x1) 5#(4(0(3(3(x1))))) -> 3#(0(3(5(4(1(x1)))))) 3#(0(3(x1))) -> 3#(3(x1)) 3#(5(5(0(0(x1))))) -> 3#(0(5(0(x1)))) 3#(5(5(0(0(x1))))) -> 0#(5(0(x1))) 0#(5(0(x1))) -> 0#(5(x1)) 0#(5(0(x1))) -> 5#(x1) 5#(4(0(x1))) -> 3#(5(x1)) 3#(5(5(0(0(x1))))) -> 5#(0(x1)) 5#(4(0(x1))) -> 5#(x1) 5#(0(0(x1))) -> 5#(0(x1)) 3#(5(4(0(x1)))) -> 0#(5(3(4(x1)))) 3#(5(4(0(x1)))) -> 5#(3(4(x1))) 3#(5(4(0(x1)))) -> 3#(4(x1)) 3#(5(4(0(x1)))) -> 4#(x1) 4#(3(4(0(3(x1))))) -> 4#(3(0(3(x1)))) 4#(3(4(0(3(x1))))) -> 3#(0(3(x1))) 3#(0(1(0(x1)))) -> 0#(3(0(1(2(x1))))) 3#(5(0(0(x1)))) -> 5#(0(x1)) 3#(4(0(0(x1)))) -> 0#(0(3(x1))) 3#(4(0(0(x1)))) -> 0#(3(x1)) 3#(4(0(0(x1)))) -> 3#(x1) 3#(5(0(x1))) -> 3#(x1) 3#(4(0(x1))) -> 0#(3(x1)) 3#(4(0(x1))) -> 3#(x1) 3#(1(0(x1))) -> 3#(x1) 4#(0(1(0(0(x1))))) -> 0#(0(0(x1))) 4#(0(3(1(x1)))) -> 0#(4(x1)) 4#(0(3(1(x1)))) -> 4#(x1) 4#(0(5(0(x1)))) -> 0#(0(5(x1))) 4#(0(5(0(x1)))) -> 0#(5(x1)) 4#(0(5(0(x1)))) -> 5#(x1) 4#(0(4(x1))) -> 0#(x1) 4#(0(3(x1))) -> 5#(5(x1)) 4#(0(3(x1))) -> 5#(x1) 4#(0(1(x1))) -> 0#(3(x1)) 4#(0(1(x1))) -> 3#(x1) 4#(0(0(x1))) -> 3#(0(0(4(2(x1))))) TRS: 0(0(x1)) -> 2(0(2(0(1(x1))))) 0(0(x1)) -> 2(0(4(3(2(0(x1)))))) 3(0(x1)) -> 2(3(2(0(x1)))) 3(0(x1)) -> 3(1(2(0(2(x1))))) 3(0(x1)) -> 2(2(0(3(2(x1))))) 3(0(x1)) -> 2(3(2(2(2(0(x1)))))) 0(0(0(x1))) -> 0(0(2(0(x1)))) 4(0(0(x1))) -> 2(3(0(0(4(2(x1)))))) 5(0(0(x1))) -> 0(2(5(0(x1)))) 3(1(0(x1))) -> 0(1(2(2(3(x1))))) 0(3(0(x1))) -> 0(4(3(2(0(2(x1)))))) 3(4(0(x1))) -> 4(2(0(3(x1)))) 3(4(0(x1))) -> 4(3(1(2(0(1(x1)))))) 3(4(0(x1))) -> 0(4(3(4(2(2(x1)))))) 5(4(0(x1))) -> 5(2(5(0(4(2(x1)))))) 5(4(0(x1))) -> 0(4(4(2(3(5(x1)))))) 0(5(0(x1))) -> 0(4(2(5(0(x1))))) 0(5(0(x1))) -> 0(2(3(2(0(5(x1)))))) 3(5(0(x1))) -> 0(2(3(5(2(3(x1)))))) 0(0(1(x1))) -> 2(0(5(2(0(1(x1)))))) 3(0(1(x1))) -> 2(5(0(3(1(2(x1)))))) 4(0(1(x1))) -> 4(1(2(0(3(x1))))) 4(0(1(x1))) -> 0(4(1(2(1(2(x1)))))) 0(0(3(x1))) -> 0(2(0(3(x1)))) 3(0(3(x1))) -> 3(2(0(3(x1)))) 3(0(3(x1))) -> 0(2(2(3(3(x1))))) 4(0(3(x1))) -> 0(4(3(2(2(x1))))) 4(0(3(x1))) -> 3(0(2(4(3(2(x1)))))) 4(0(3(x1))) -> 3(0(4(2(5(5(x1)))))) 4(3(3(x1))) -> 4(2(3(1(2(3(x1)))))) 0(5(3(x1))) -> 1(2(0(1(5(3(x1)))))) 4(0(4(x1))) -> 0(4(4(2(0(x1))))) 4(0(4(x1))) -> 0(4(2(0(4(1(x1)))))) 3(4(0(0(x1)))) -> 4(1(2(0(0(3(x1)))))) 3(5(0(0(x1)))) -> 3(0(5(2(5(0(x1)))))) 3(0(1(0(x1)))) -> 0(3(0(1(2(x1))))) 0(1(1(0(x1)))) -> 2(1(0(0(1(2(x1)))))) 0(0(4(0(x1)))) -> 0(1(2(0(4(0(x1)))))) 3(1(4(0(x1)))) -> 3(0(2(4(1(2(x1)))))) 3(5(4(0(x1)))) -> 0(5(2(3(4(x1))))) 3(5(4(0(x1)))) -> 4(2(0(5(3(4(x1)))))) 4(0(5(0(x1)))) -> 4(2(0(0(5(x1))))) 3(5(5(0(x1)))) -> 0(5(5(3(2(x1))))) 4(0(3(1(x1)))) -> 3(2(1(0(4(x1))))) 5(3(0(4(x1)))) -> 0(2(4(3(2(5(x1)))))) 4(0(1(0(0(x1))))) -> 2(4(1(0(0(0(x1)))))) 3(5(5(0(0(x1))))) -> 5(2(3(0(5(0(x1)))))) 4(3(4(0(3(x1))))) -> 4(2(4(3(0(3(x1)))))) 5(4(0(3(3(x1))))) -> 3(0(3(5(4(1(x1)))))) 3(0(2(4(3(x1))))) -> 4(3(2(0(3(2(x1)))))) KBO Processor: argument filtering: pi(0) = [0] pi(2) = [] pi(1) = 0 pi(4) = [0] pi(3) = [0] pi(5) = 0 pi(0#) = 0 pi(3#) = [0] pi(4#) = [0] pi(5#) = 0 weight function: w0 = 1 w(4#) = w(3#) = w(3) = w(2) = w(0) = 1 w(5#) = w(0#) = w(5) = w(4) = w(1) = 0 precedence: 4 ~ 2 > 3 > 4# > 5# ~ 3# ~ 0# ~ 5 ~ 1 ~ 0 problem: DPs: 3#(5(5(0(0(x1))))) -> 3#(0(5(0(x1)))) TRS: 0(0(x1)) -> 2(0(2(0(1(x1))))) 0(0(x1)) -> 2(0(4(3(2(0(x1)))))) 3(0(x1)) -> 2(3(2(0(x1)))) 3(0(x1)) -> 3(1(2(0(2(x1))))) 3(0(x1)) -> 2(2(0(3(2(x1))))) 3(0(x1)) -> 2(3(2(2(2(0(x1)))))) 0(0(0(x1))) -> 0(0(2(0(x1)))) 4(0(0(x1))) -> 2(3(0(0(4(2(x1)))))) 5(0(0(x1))) -> 0(2(5(0(x1)))) 3(1(0(x1))) -> 0(1(2(2(3(x1))))) 0(3(0(x1))) -> 0(4(3(2(0(2(x1)))))) 3(4(0(x1))) -> 4(2(0(3(x1)))) 3(4(0(x1))) -> 4(3(1(2(0(1(x1)))))) 3(4(0(x1))) -> 0(4(3(4(2(2(x1)))))) 5(4(0(x1))) -> 5(2(5(0(4(2(x1)))))) 5(4(0(x1))) -> 0(4(4(2(3(5(x1)))))) 0(5(0(x1))) -> 0(4(2(5(0(x1))))) 0(5(0(x1))) -> 0(2(3(2(0(5(x1)))))) 3(5(0(x1))) -> 0(2(3(5(2(3(x1)))))) 0(0(1(x1))) -> 2(0(5(2(0(1(x1)))))) 3(0(1(x1))) -> 2(5(0(3(1(2(x1)))))) 4(0(1(x1))) -> 4(1(2(0(3(x1))))) 4(0(1(x1))) -> 0(4(1(2(1(2(x1)))))) 0(0(3(x1))) -> 0(2(0(3(x1)))) 3(0(3(x1))) -> 3(2(0(3(x1)))) 3(0(3(x1))) -> 0(2(2(3(3(x1))))) 4(0(3(x1))) -> 0(4(3(2(2(x1))))) 4(0(3(x1))) -> 3(0(2(4(3(2(x1)))))) 4(0(3(x1))) -> 3(0(4(2(5(5(x1)))))) 4(3(3(x1))) -> 4(2(3(1(2(3(x1)))))) 0(5(3(x1))) -> 1(2(0(1(5(3(x1)))))) 4(0(4(x1))) -> 0(4(4(2(0(x1))))) 4(0(4(x1))) -> 0(4(2(0(4(1(x1)))))) 3(4(0(0(x1)))) -> 4(1(2(0(0(3(x1)))))) 3(5(0(0(x1)))) -> 3(0(5(2(5(0(x1)))))) 3(0(1(0(x1)))) -> 0(3(0(1(2(x1))))) 0(1(1(0(x1)))) -> 2(1(0(0(1(2(x1)))))) 0(0(4(0(x1)))) -> 0(1(2(0(4(0(x1)))))) 3(1(4(0(x1)))) -> 3(0(2(4(1(2(x1)))))) 3(5(4(0(x1)))) -> 0(5(2(3(4(x1))))) 3(5(4(0(x1)))) -> 4(2(0(5(3(4(x1)))))) 4(0(5(0(x1)))) -> 4(2(0(0(5(x1))))) 3(5(5(0(x1)))) -> 0(5(5(3(2(x1))))) 4(0(3(1(x1)))) -> 3(2(1(0(4(x1))))) 5(3(0(4(x1)))) -> 0(2(4(3(2(5(x1)))))) 4(0(1(0(0(x1))))) -> 2(4(1(0(0(0(x1)))))) 3(5(5(0(0(x1))))) -> 5(2(3(0(5(0(x1)))))) 4(3(4(0(3(x1))))) -> 4(2(4(3(0(3(x1)))))) 5(4(0(3(3(x1))))) -> 3(0(3(5(4(1(x1)))))) 3(0(2(4(3(x1))))) -> 4(3(2(0(3(2(x1)))))) EDG Processor: DPs: 3#(5(5(0(0(x1))))) -> 3#(0(5(0(x1)))) TRS: 0(0(x1)) -> 2(0(2(0(1(x1))))) 0(0(x1)) -> 2(0(4(3(2(0(x1)))))) 3(0(x1)) -> 2(3(2(0(x1)))) 3(0(x1)) -> 3(1(2(0(2(x1))))) 3(0(x1)) -> 2(2(0(3(2(x1))))) 3(0(x1)) -> 2(3(2(2(2(0(x1)))))) 0(0(0(x1))) -> 0(0(2(0(x1)))) 4(0(0(x1))) -> 2(3(0(0(4(2(x1)))))) 5(0(0(x1))) -> 0(2(5(0(x1)))) 3(1(0(x1))) -> 0(1(2(2(3(x1))))) 0(3(0(x1))) -> 0(4(3(2(0(2(x1)))))) 3(4(0(x1))) -> 4(2(0(3(x1)))) 3(4(0(x1))) -> 4(3(1(2(0(1(x1)))))) 3(4(0(x1))) -> 0(4(3(4(2(2(x1)))))) 5(4(0(x1))) -> 5(2(5(0(4(2(x1)))))) 5(4(0(x1))) -> 0(4(4(2(3(5(x1)))))) 0(5(0(x1))) -> 0(4(2(5(0(x1))))) 0(5(0(x1))) -> 0(2(3(2(0(5(x1)))))) 3(5(0(x1))) -> 0(2(3(5(2(3(x1)))))) 0(0(1(x1))) -> 2(0(5(2(0(1(x1)))))) 3(0(1(x1))) -> 2(5(0(3(1(2(x1)))))) 4(0(1(x1))) -> 4(1(2(0(3(x1))))) 4(0(1(x1))) -> 0(4(1(2(1(2(x1)))))) 0(0(3(x1))) -> 0(2(0(3(x1)))) 3(0(3(x1))) -> 3(2(0(3(x1)))) 3(0(3(x1))) -> 0(2(2(3(3(x1))))) 4(0(3(x1))) -> 0(4(3(2(2(x1))))) 4(0(3(x1))) -> 3(0(2(4(3(2(x1)))))) 4(0(3(x1))) -> 3(0(4(2(5(5(x1)))))) 4(3(3(x1))) -> 4(2(3(1(2(3(x1)))))) 0(5(3(x1))) -> 1(2(0(1(5(3(x1)))))) 4(0(4(x1))) -> 0(4(4(2(0(x1))))) 4(0(4(x1))) -> 0(4(2(0(4(1(x1)))))) 3(4(0(0(x1)))) -> 4(1(2(0(0(3(x1)))))) 3(5(0(0(x1)))) -> 3(0(5(2(5(0(x1)))))) 3(0(1(0(x1)))) -> 0(3(0(1(2(x1))))) 0(1(1(0(x1)))) -> 2(1(0(0(1(2(x1)))))) 0(0(4(0(x1)))) -> 0(1(2(0(4(0(x1)))))) 3(1(4(0(x1)))) -> 3(0(2(4(1(2(x1)))))) 3(5(4(0(x1)))) -> 0(5(2(3(4(x1))))) 3(5(4(0(x1)))) -> 4(2(0(5(3(4(x1)))))) 4(0(5(0(x1)))) -> 4(2(0(0(5(x1))))) 3(5(5(0(x1)))) -> 0(5(5(3(2(x1))))) 4(0(3(1(x1)))) -> 3(2(1(0(4(x1))))) 5(3(0(4(x1)))) -> 0(2(4(3(2(5(x1)))))) 4(0(1(0(0(x1))))) -> 2(4(1(0(0(0(x1)))))) 3(5(5(0(0(x1))))) -> 5(2(3(0(5(0(x1)))))) 4(3(4(0(3(x1))))) -> 4(2(4(3(0(3(x1)))))) 5(4(0(3(3(x1))))) -> 3(0(3(5(4(1(x1)))))) 3(0(2(4(3(x1))))) -> 4(3(2(0(3(2(x1)))))) graph: 3#(5(5(0(0(x1))))) -> 3#(0(5(0(x1)))) -> 3#(5(5(0(0(x1))))) -> 3#(0(5(0(x1)))) KBO Processor: argument filtering: pi(0) = [0] pi(2) = [] pi(1) = 0 pi(4) = [0] pi(3) = [0] pi(5) = [0] pi(3#) = [0] weight function: w0 = 1 w(3#) = w(3) = w(2) = w(0) = 1 w(5) = w(4) = w(1) = 0 precedence: 3# ~ 5 ~ 4 ~ 1 > 3 > 2 ~ 0 problem: DPs: TRS: 0(0(x1)) -> 2(0(2(0(1(x1))))) 0(0(x1)) -> 2(0(4(3(2(0(x1)))))) 3(0(x1)) -> 2(3(2(0(x1)))) 3(0(x1)) -> 3(1(2(0(2(x1))))) 3(0(x1)) -> 2(2(0(3(2(x1))))) 3(0(x1)) -> 2(3(2(2(2(0(x1)))))) 0(0(0(x1))) -> 0(0(2(0(x1)))) 4(0(0(x1))) -> 2(3(0(0(4(2(x1)))))) 5(0(0(x1))) -> 0(2(5(0(x1)))) 3(1(0(x1))) -> 0(1(2(2(3(x1))))) 0(3(0(x1))) -> 0(4(3(2(0(2(x1)))))) 3(4(0(x1))) -> 4(2(0(3(x1)))) 3(4(0(x1))) -> 4(3(1(2(0(1(x1)))))) 3(4(0(x1))) -> 0(4(3(4(2(2(x1)))))) 5(4(0(x1))) -> 5(2(5(0(4(2(x1)))))) 5(4(0(x1))) -> 0(4(4(2(3(5(x1)))))) 0(5(0(x1))) -> 0(4(2(5(0(x1))))) 0(5(0(x1))) -> 0(2(3(2(0(5(x1)))))) 3(5(0(x1))) -> 0(2(3(5(2(3(x1)))))) 0(0(1(x1))) -> 2(0(5(2(0(1(x1)))))) 3(0(1(x1))) -> 2(5(0(3(1(2(x1)))))) 4(0(1(x1))) -> 4(1(2(0(3(x1))))) 4(0(1(x1))) -> 0(4(1(2(1(2(x1)))))) 0(0(3(x1))) -> 0(2(0(3(x1)))) 3(0(3(x1))) -> 3(2(0(3(x1)))) 3(0(3(x1))) -> 0(2(2(3(3(x1))))) 4(0(3(x1))) -> 0(4(3(2(2(x1))))) 4(0(3(x1))) -> 3(0(2(4(3(2(x1)))))) 4(0(3(x1))) -> 3(0(4(2(5(5(x1)))))) 4(3(3(x1))) -> 4(2(3(1(2(3(x1)))))) 0(5(3(x1))) -> 1(2(0(1(5(3(x1)))))) 4(0(4(x1))) -> 0(4(4(2(0(x1))))) 4(0(4(x1))) -> 0(4(2(0(4(1(x1)))))) 3(4(0(0(x1)))) -> 4(1(2(0(0(3(x1)))))) 3(5(0(0(x1)))) -> 3(0(5(2(5(0(x1)))))) 3(0(1(0(x1)))) -> 0(3(0(1(2(x1))))) 0(1(1(0(x1)))) -> 2(1(0(0(1(2(x1)))))) 0(0(4(0(x1)))) -> 0(1(2(0(4(0(x1)))))) 3(1(4(0(x1)))) -> 3(0(2(4(1(2(x1)))))) 3(5(4(0(x1)))) -> 0(5(2(3(4(x1))))) 3(5(4(0(x1)))) -> 4(2(0(5(3(4(x1)))))) 4(0(5(0(x1)))) -> 4(2(0(0(5(x1))))) 3(5(5(0(x1)))) -> 0(5(5(3(2(x1))))) 4(0(3(1(x1)))) -> 3(2(1(0(4(x1))))) 5(3(0(4(x1)))) -> 0(2(4(3(2(5(x1)))))) 4(0(1(0(0(x1))))) -> 2(4(1(0(0(0(x1)))))) 3(5(5(0(0(x1))))) -> 5(2(3(0(5(0(x1)))))) 4(3(4(0(3(x1))))) -> 4(2(4(3(0(3(x1)))))) 5(4(0(3(3(x1))))) -> 3(0(3(5(4(1(x1)))))) 3(0(2(4(3(x1))))) -> 4(3(2(0(3(2(x1)))))) Qed DPs: 0#(1(1(0(x1)))) -> 0#(0(1(2(x1)))) 0#(0(x1)) -> 0#(1(x1)) TRS: 0(0(x1)) -> 2(0(2(0(1(x1))))) 0(0(x1)) -> 2(0(4(3(2(0(x1)))))) 3(0(x1)) -> 2(3(2(0(x1)))) 3(0(x1)) -> 3(1(2(0(2(x1))))) 3(0(x1)) -> 2(2(0(3(2(x1))))) 3(0(x1)) -> 2(3(2(2(2(0(x1)))))) 0(0(0(x1))) -> 0(0(2(0(x1)))) 4(0(0(x1))) -> 2(3(0(0(4(2(x1)))))) 5(0(0(x1))) -> 0(2(5(0(x1)))) 3(1(0(x1))) -> 0(1(2(2(3(x1))))) 0(3(0(x1))) -> 0(4(3(2(0(2(x1)))))) 3(4(0(x1))) -> 4(2(0(3(x1)))) 3(4(0(x1))) -> 4(3(1(2(0(1(x1)))))) 3(4(0(x1))) -> 0(4(3(4(2(2(x1)))))) 5(4(0(x1))) -> 5(2(5(0(4(2(x1)))))) 5(4(0(x1))) -> 0(4(4(2(3(5(x1)))))) 0(5(0(x1))) -> 0(4(2(5(0(x1))))) 0(5(0(x1))) -> 0(2(3(2(0(5(x1)))))) 3(5(0(x1))) -> 0(2(3(5(2(3(x1)))))) 0(0(1(x1))) -> 2(0(5(2(0(1(x1)))))) 3(0(1(x1))) -> 2(5(0(3(1(2(x1)))))) 4(0(1(x1))) -> 4(1(2(0(3(x1))))) 4(0(1(x1))) -> 0(4(1(2(1(2(x1)))))) 0(0(3(x1))) -> 0(2(0(3(x1)))) 3(0(3(x1))) -> 3(2(0(3(x1)))) 3(0(3(x1))) -> 0(2(2(3(3(x1))))) 4(0(3(x1))) -> 0(4(3(2(2(x1))))) 4(0(3(x1))) -> 3(0(2(4(3(2(x1)))))) 4(0(3(x1))) -> 3(0(4(2(5(5(x1)))))) 4(3(3(x1))) -> 4(2(3(1(2(3(x1)))))) 0(5(3(x1))) -> 1(2(0(1(5(3(x1)))))) 4(0(4(x1))) -> 0(4(4(2(0(x1))))) 4(0(4(x1))) -> 0(4(2(0(4(1(x1)))))) 3(4(0(0(x1)))) -> 4(1(2(0(0(3(x1)))))) 3(5(0(0(x1)))) -> 3(0(5(2(5(0(x1)))))) 3(0(1(0(x1)))) -> 0(3(0(1(2(x1))))) 0(1(1(0(x1)))) -> 2(1(0(0(1(2(x1)))))) 0(0(4(0(x1)))) -> 0(1(2(0(4(0(x1)))))) 3(1(4(0(x1)))) -> 3(0(2(4(1(2(x1)))))) 3(5(4(0(x1)))) -> 0(5(2(3(4(x1))))) 3(5(4(0(x1)))) -> 4(2(0(5(3(4(x1)))))) 4(0(5(0(x1)))) -> 4(2(0(0(5(x1))))) 3(5(5(0(x1)))) -> 0(5(5(3(2(x1))))) 4(0(3(1(x1)))) -> 3(2(1(0(4(x1))))) 5(3(0(4(x1)))) -> 0(2(4(3(2(5(x1)))))) 4(0(1(0(0(x1))))) -> 2(4(1(0(0(0(x1)))))) 3(5(5(0(0(x1))))) -> 5(2(3(0(5(0(x1)))))) 4(3(4(0(3(x1))))) -> 4(2(4(3(0(3(x1)))))) 5(4(0(3(3(x1))))) -> 3(0(3(5(4(1(x1)))))) 3(0(2(4(3(x1))))) -> 4(3(2(0(3(2(x1)))))) KBO Processor: argument filtering: pi(0) = [0] pi(2) = [] pi(1) = [0] pi(4) = [0] pi(3) = [0] pi(5) = 0 pi(0#) = 0 weight function: w0 = 1 w(0#) = w(3) = w(2) = w(0) = 1 w(5) = w(4) = w(1) = 0 precedence: 0# ~ 4 ~ 1 ~ 2 > 3 > 5 ~ 0 problem: DPs: TRS: 0(0(x1)) -> 2(0(2(0(1(x1))))) 0(0(x1)) -> 2(0(4(3(2(0(x1)))))) 3(0(x1)) -> 2(3(2(0(x1)))) 3(0(x1)) -> 3(1(2(0(2(x1))))) 3(0(x1)) -> 2(2(0(3(2(x1))))) 3(0(x1)) -> 2(3(2(2(2(0(x1)))))) 0(0(0(x1))) -> 0(0(2(0(x1)))) 4(0(0(x1))) -> 2(3(0(0(4(2(x1)))))) 5(0(0(x1))) -> 0(2(5(0(x1)))) 3(1(0(x1))) -> 0(1(2(2(3(x1))))) 0(3(0(x1))) -> 0(4(3(2(0(2(x1)))))) 3(4(0(x1))) -> 4(2(0(3(x1)))) 3(4(0(x1))) -> 4(3(1(2(0(1(x1)))))) 3(4(0(x1))) -> 0(4(3(4(2(2(x1)))))) 5(4(0(x1))) -> 5(2(5(0(4(2(x1)))))) 5(4(0(x1))) -> 0(4(4(2(3(5(x1)))))) 0(5(0(x1))) -> 0(4(2(5(0(x1))))) 0(5(0(x1))) -> 0(2(3(2(0(5(x1)))))) 3(5(0(x1))) -> 0(2(3(5(2(3(x1)))))) 0(0(1(x1))) -> 2(0(5(2(0(1(x1)))))) 3(0(1(x1))) -> 2(5(0(3(1(2(x1)))))) 4(0(1(x1))) -> 4(1(2(0(3(x1))))) 4(0(1(x1))) -> 0(4(1(2(1(2(x1)))))) 0(0(3(x1))) -> 0(2(0(3(x1)))) 3(0(3(x1))) -> 3(2(0(3(x1)))) 3(0(3(x1))) -> 0(2(2(3(3(x1))))) 4(0(3(x1))) -> 0(4(3(2(2(x1))))) 4(0(3(x1))) -> 3(0(2(4(3(2(x1)))))) 4(0(3(x1))) -> 3(0(4(2(5(5(x1)))))) 4(3(3(x1))) -> 4(2(3(1(2(3(x1)))))) 0(5(3(x1))) -> 1(2(0(1(5(3(x1)))))) 4(0(4(x1))) -> 0(4(4(2(0(x1))))) 4(0(4(x1))) -> 0(4(2(0(4(1(x1)))))) 3(4(0(0(x1)))) -> 4(1(2(0(0(3(x1)))))) 3(5(0(0(x1)))) -> 3(0(5(2(5(0(x1)))))) 3(0(1(0(x1)))) -> 0(3(0(1(2(x1))))) 0(1(1(0(x1)))) -> 2(1(0(0(1(2(x1)))))) 0(0(4(0(x1)))) -> 0(1(2(0(4(0(x1)))))) 3(1(4(0(x1)))) -> 3(0(2(4(1(2(x1)))))) 3(5(4(0(x1)))) -> 0(5(2(3(4(x1))))) 3(5(4(0(x1)))) -> 4(2(0(5(3(4(x1)))))) 4(0(5(0(x1)))) -> 4(2(0(0(5(x1))))) 3(5(5(0(x1)))) -> 0(5(5(3(2(x1))))) 4(0(3(1(x1)))) -> 3(2(1(0(4(x1))))) 5(3(0(4(x1)))) -> 0(2(4(3(2(5(x1)))))) 4(0(1(0(0(x1))))) -> 2(4(1(0(0(0(x1)))))) 3(5(5(0(0(x1))))) -> 5(2(3(0(5(0(x1)))))) 4(3(4(0(3(x1))))) -> 4(2(4(3(0(3(x1)))))) 5(4(0(3(3(x1))))) -> 3(0(3(5(4(1(x1)))))) 3(0(2(4(3(x1))))) -> 4(3(2(0(3(2(x1)))))) Qed