YES Problem: 0(0(1(x1))) -> 0(1(2(0(3(x1))))) 0(0(1(x1))) -> 0(1(2(0(3(2(x1)))))) 0(0(1(x1))) -> 1(2(0(0(3(2(x1)))))) 0(1(0(x1))) -> 2(0(3(1(2(0(x1)))))) 0(4(1(x1))) -> 4(0(3(1(x1)))) 0(4(1(x1))) -> 2(4(0(3(2(1(x1)))))) 0(4(1(x1))) -> 2(4(0(5(3(1(x1)))))) 0(4(1(x1))) -> 4(2(1(2(0(3(x1)))))) 4(1(0(x1))) -> 1(2(0(4(x1)))) 0(0(1(1(x1)))) -> 1(2(0(0(3(1(x1)))))) 0(0(2(1(x1)))) -> 2(2(0(3(0(1(x1)))))) 0(0(4(1(x1)))) -> 1(4(0(3(0(3(x1)))))) 0(0(5(1(x1)))) -> 0(0(3(1(2(5(x1)))))) 0(1(1(0(x1)))) -> 1(2(0(0(1(2(x1)))))) 0(1(4(1(x1)))) -> 0(1(2(4(1(2(x1)))))) 0(1(5(0(x1)))) -> 1(2(5(0(0(3(x1)))))) 0(2(4(1(x1)))) -> 4(0(5(3(1(2(x1)))))) 0(4(1(0(x1)))) -> 0(4(0(1(2(x1))))) 0(4(2(1(x1)))) -> 4(0(3(2(2(1(x1)))))) 0(4(2(1(x1)))) -> 4(0(3(5(1(2(x1)))))) 0(4(4(1(x1)))) -> 2(4(0(3(4(1(x1)))))) 0(5(0(1(x1)))) -> 0(2(0(3(5(1(x1)))))) 0(5(0(1(x1)))) -> 5(2(0(3(0(1(x1)))))) 0(5(1(0(x1)))) -> 0(1(2(0(3(5(x1)))))) 0(5(1(0(x1)))) -> 2(0(1(3(5(0(x1)))))) 4(0(5(1(x1)))) -> 1(4(0(5(3(2(x1)))))) 4(1(0(0(x1)))) -> 0(4(1(2(0(x1))))) 4(1(0(1(x1)))) -> 1(1(2(0(4(x1))))) 4(1(5(0(x1)))) -> 1(2(0(5(4(x1))))) 4(1(5(0(x1)))) -> 1(4(0(3(5(x1))))) 4(3(1(0(x1)))) -> 1(4(2(0(3(x1))))) 4(3(1(0(x1)))) -> 2(0(2(1(3(4(x1)))))) 4(3(1(0(x1)))) -> 2(1(4(2(0(3(x1)))))) 4(3(1(0(x1)))) -> 2(2(4(0(1(3(x1)))))) 5(0(1(0(x1)))) -> 0(3(5(1(2(0(x1)))))) 5(0(1(0(x1)))) -> 1(5(2(0(3(0(x1)))))) 5(4(1(0(x1)))) -> 0(1(2(4(5(2(x1)))))) 0(0(5(5(1(x1))))) -> 1(0(0(3(5(5(x1)))))) 0(1(0(5(0(x1))))) -> 0(1(5(2(0(0(x1)))))) 0(2(5(0(1(x1))))) -> 2(0(3(5(0(1(x1)))))) 0(3(1(0(0(x1))))) -> 0(0(3(0(1(2(x1)))))) 0(4(1(4(1(x1))))) -> 4(4(0(1(2(1(x1)))))) 0(5(5(4(1(x1))))) -> 4(1(0(5(5(3(x1)))))) 4(1(5(0(0(x1))))) -> 1(2(0(4(5(0(x1)))))) 4(1(5(5(0(x1))))) -> 5(1(3(0(5(4(x1)))))) 4(3(1(0(1(x1))))) -> 1(1(2(3(0(4(x1)))))) 4(3(1(1(0(x1))))) -> 1(2(0(1(4(3(x1)))))) 4(3(1(5(0(x1))))) -> 5(1(0(3(2(4(x1)))))) 4(4(1(0(5(x1))))) -> 4(0(5(3(4(1(x1)))))) Proof: DP Processor: DPs: 0#(0(1(x1))) -> 0#(3(x1)) 0#(0(1(x1))) -> 0#(1(2(0(3(x1))))) 0#(0(1(x1))) -> 0#(3(2(x1))) 0#(0(1(x1))) -> 0#(1(2(0(3(2(x1)))))) 0#(0(1(x1))) -> 0#(0(3(2(x1)))) 0#(1(0(x1))) -> 0#(3(1(2(0(x1))))) 0#(4(1(x1))) -> 0#(3(1(x1))) 0#(4(1(x1))) -> 4#(0(3(1(x1)))) 0#(4(1(x1))) -> 0#(3(2(1(x1)))) 0#(4(1(x1))) -> 4#(0(3(2(1(x1))))) 0#(4(1(x1))) -> 5#(3(1(x1))) 0#(4(1(x1))) -> 0#(5(3(1(x1)))) 0#(4(1(x1))) -> 4#(0(5(3(1(x1))))) 0#(4(1(x1))) -> 0#(3(x1)) 0#(4(1(x1))) -> 4#(2(1(2(0(3(x1)))))) 4#(1(0(x1))) -> 4#(x1) 4#(1(0(x1))) -> 0#(4(x1)) 0#(0(1(1(x1)))) -> 0#(3(1(x1))) 0#(0(1(1(x1)))) -> 0#(0(3(1(x1)))) 0#(0(2(1(x1)))) -> 0#(1(x1)) 0#(0(2(1(x1)))) -> 0#(3(0(1(x1)))) 0#(0(4(1(x1)))) -> 0#(3(x1)) 0#(0(4(1(x1)))) -> 0#(3(0(3(x1)))) 0#(0(4(1(x1)))) -> 4#(0(3(0(3(x1))))) 0#(0(5(1(x1)))) -> 5#(x1) 0#(0(5(1(x1)))) -> 0#(3(1(2(5(x1))))) 0#(0(5(1(x1)))) -> 0#(0(3(1(2(5(x1)))))) 0#(1(1(0(x1)))) -> 0#(1(2(x1))) 0#(1(1(0(x1)))) -> 0#(0(1(2(x1)))) 0#(1(4(1(x1)))) -> 4#(1(2(x1))) 0#(1(4(1(x1)))) -> 0#(1(2(4(1(2(x1)))))) 0#(1(5(0(x1)))) -> 0#(3(x1)) 0#(1(5(0(x1)))) -> 0#(0(3(x1))) 0#(1(5(0(x1)))) -> 5#(0(0(3(x1)))) 0#(2(4(1(x1)))) -> 5#(3(1(2(x1)))) 0#(2(4(1(x1)))) -> 0#(5(3(1(2(x1))))) 0#(2(4(1(x1)))) -> 4#(0(5(3(1(2(x1)))))) 0#(4(1(0(x1)))) -> 0#(1(2(x1))) 0#(4(1(0(x1)))) -> 4#(0(1(2(x1)))) 0#(4(1(0(x1)))) -> 0#(4(0(1(2(x1))))) 0#(4(2(1(x1)))) -> 0#(3(2(2(1(x1))))) 0#(4(2(1(x1)))) -> 4#(0(3(2(2(1(x1)))))) 0#(4(2(1(x1)))) -> 5#(1(2(x1))) 0#(4(2(1(x1)))) -> 0#(3(5(1(2(x1))))) 0#(4(2(1(x1)))) -> 4#(0(3(5(1(2(x1)))))) 0#(4(4(1(x1)))) -> 0#(3(4(1(x1)))) 0#(4(4(1(x1)))) -> 4#(0(3(4(1(x1))))) 0#(5(0(1(x1)))) -> 5#(1(x1)) 0#(5(0(1(x1)))) -> 0#(3(5(1(x1)))) 0#(5(0(1(x1)))) -> 0#(2(0(3(5(1(x1)))))) 0#(5(0(1(x1)))) -> 0#(3(0(1(x1)))) 0#(5(0(1(x1)))) -> 5#(2(0(3(0(1(x1)))))) 0#(5(1(0(x1)))) -> 5#(x1) 0#(5(1(0(x1)))) -> 0#(3(5(x1))) 0#(5(1(0(x1)))) -> 0#(1(2(0(3(5(x1)))))) 0#(5(1(0(x1)))) -> 5#(0(x1)) 0#(5(1(0(x1)))) -> 0#(1(3(5(0(x1))))) 4#(0(5(1(x1)))) -> 5#(3(2(x1))) 4#(0(5(1(x1)))) -> 0#(5(3(2(x1)))) 4#(0(5(1(x1)))) -> 4#(0(5(3(2(x1))))) 4#(1(0(0(x1)))) -> 4#(1(2(0(x1)))) 4#(1(0(0(x1)))) -> 0#(4(1(2(0(x1))))) 4#(1(0(1(x1)))) -> 4#(x1) 4#(1(0(1(x1)))) -> 0#(4(x1)) 4#(1(5(0(x1)))) -> 4#(x1) 4#(1(5(0(x1)))) -> 5#(4(x1)) 4#(1(5(0(x1)))) -> 0#(5(4(x1))) 4#(1(5(0(x1)))) -> 5#(x1) 4#(1(5(0(x1)))) -> 0#(3(5(x1))) 4#(1(5(0(x1)))) -> 4#(0(3(5(x1)))) 4#(3(1(0(x1)))) -> 0#(3(x1)) 4#(3(1(0(x1)))) -> 4#(2(0(3(x1)))) 4#(3(1(0(x1)))) -> 4#(x1) 4#(3(1(0(x1)))) -> 0#(2(1(3(4(x1))))) 4#(3(1(0(x1)))) -> 0#(1(3(x1))) 4#(3(1(0(x1)))) -> 4#(0(1(3(x1)))) 5#(0(1(0(x1)))) -> 5#(1(2(0(x1)))) 5#(0(1(0(x1)))) -> 0#(3(5(1(2(0(x1)))))) 5#(0(1(0(x1)))) -> 0#(3(0(x1))) 5#(0(1(0(x1)))) -> 5#(2(0(3(0(x1))))) 5#(4(1(0(x1)))) -> 5#(2(x1)) 5#(4(1(0(x1)))) -> 4#(5(2(x1))) 5#(4(1(0(x1)))) -> 0#(1(2(4(5(2(x1)))))) 0#(0(5(5(1(x1))))) -> 5#(x1) 0#(0(5(5(1(x1))))) -> 5#(5(x1)) 0#(0(5(5(1(x1))))) -> 0#(3(5(5(x1)))) 0#(0(5(5(1(x1))))) -> 0#(0(3(5(5(x1))))) 0#(1(0(5(0(x1))))) -> 0#(0(x1)) 0#(1(0(5(0(x1))))) -> 5#(2(0(0(x1)))) 0#(1(0(5(0(x1))))) -> 0#(1(5(2(0(0(x1)))))) 0#(2(5(0(1(x1))))) -> 0#(3(5(0(1(x1))))) 0#(3(1(0(0(x1))))) -> 0#(1(2(x1))) 0#(3(1(0(0(x1))))) -> 0#(3(0(1(2(x1))))) 0#(3(1(0(0(x1))))) -> 0#(0(3(0(1(2(x1)))))) 0#(4(1(4(1(x1))))) -> 0#(1(2(1(x1)))) 0#(4(1(4(1(x1))))) -> 4#(0(1(2(1(x1))))) 0#(4(1(4(1(x1))))) -> 4#(4(0(1(2(1(x1)))))) 0#(5(5(4(1(x1))))) -> 5#(3(x1)) 0#(5(5(4(1(x1))))) -> 5#(5(3(x1))) 0#(5(5(4(1(x1))))) -> 0#(5(5(3(x1)))) 0#(5(5(4(1(x1))))) -> 4#(1(0(5(5(3(x1)))))) 4#(1(5(0(0(x1))))) -> 5#(0(x1)) 4#(1(5(0(0(x1))))) -> 4#(5(0(x1))) 4#(1(5(0(0(x1))))) -> 0#(4(5(0(x1)))) 4#(1(5(5(0(x1))))) -> 4#(x1) 4#(1(5(5(0(x1))))) -> 5#(4(x1)) 4#(1(5(5(0(x1))))) -> 0#(5(4(x1))) 4#(1(5(5(0(x1))))) -> 5#(1(3(0(5(4(x1)))))) 4#(3(1(0(1(x1))))) -> 4#(x1) 4#(3(1(0(1(x1))))) -> 0#(4(x1)) 4#(3(1(1(0(x1))))) -> 4#(3(x1)) 4#(3(1(1(0(x1))))) -> 0#(1(4(3(x1)))) 4#(3(1(5(0(x1))))) -> 4#(x1) 4#(3(1(5(0(x1))))) -> 0#(3(2(4(x1)))) 4#(3(1(5(0(x1))))) -> 5#(1(0(3(2(4(x1)))))) 4#(4(1(0(5(x1))))) -> 4#(1(x1)) 4#(4(1(0(5(x1))))) -> 5#(3(4(1(x1)))) 4#(4(1(0(5(x1))))) -> 0#(5(3(4(1(x1))))) 4#(4(1(0(5(x1))))) -> 4#(0(5(3(4(1(x1)))))) TRS: 0(0(1(x1))) -> 0(1(2(0(3(x1))))) 0(0(1(x1))) -> 0(1(2(0(3(2(x1)))))) 0(0(1(x1))) -> 1(2(0(0(3(2(x1)))))) 0(1(0(x1))) -> 2(0(3(1(2(0(x1)))))) 0(4(1(x1))) -> 4(0(3(1(x1)))) 0(4(1(x1))) -> 2(4(0(3(2(1(x1)))))) 0(4(1(x1))) -> 2(4(0(5(3(1(x1)))))) 0(4(1(x1))) -> 4(2(1(2(0(3(x1)))))) 4(1(0(x1))) -> 1(2(0(4(x1)))) 0(0(1(1(x1)))) -> 1(2(0(0(3(1(x1)))))) 0(0(2(1(x1)))) -> 2(2(0(3(0(1(x1)))))) 0(0(4(1(x1)))) -> 1(4(0(3(0(3(x1)))))) 0(0(5(1(x1)))) -> 0(0(3(1(2(5(x1)))))) 0(1(1(0(x1)))) -> 1(2(0(0(1(2(x1)))))) 0(1(4(1(x1)))) -> 0(1(2(4(1(2(x1)))))) 0(1(5(0(x1)))) -> 1(2(5(0(0(3(x1)))))) 0(2(4(1(x1)))) -> 4(0(5(3(1(2(x1)))))) 0(4(1(0(x1)))) -> 0(4(0(1(2(x1))))) 0(4(2(1(x1)))) -> 4(0(3(2(2(1(x1)))))) 0(4(2(1(x1)))) -> 4(0(3(5(1(2(x1)))))) 0(4(4(1(x1)))) -> 2(4(0(3(4(1(x1)))))) 0(5(0(1(x1)))) -> 0(2(0(3(5(1(x1)))))) 0(5(0(1(x1)))) -> 5(2(0(3(0(1(x1)))))) 0(5(1(0(x1)))) -> 0(1(2(0(3(5(x1)))))) 0(5(1(0(x1)))) -> 2(0(1(3(5(0(x1)))))) 4(0(5(1(x1)))) -> 1(4(0(5(3(2(x1)))))) 4(1(0(0(x1)))) -> 0(4(1(2(0(x1))))) 4(1(0(1(x1)))) -> 1(1(2(0(4(x1))))) 4(1(5(0(x1)))) -> 1(2(0(5(4(x1))))) 4(1(5(0(x1)))) -> 1(4(0(3(5(x1))))) 4(3(1(0(x1)))) -> 1(4(2(0(3(x1))))) 4(3(1(0(x1)))) -> 2(0(2(1(3(4(x1)))))) 4(3(1(0(x1)))) -> 2(1(4(2(0(3(x1)))))) 4(3(1(0(x1)))) -> 2(2(4(0(1(3(x1)))))) 5(0(1(0(x1)))) -> 0(3(5(1(2(0(x1)))))) 5(0(1(0(x1)))) -> 1(5(2(0(3(0(x1)))))) 5(4(1(0(x1)))) -> 0(1(2(4(5(2(x1)))))) 0(0(5(5(1(x1))))) -> 1(0(0(3(5(5(x1)))))) 0(1(0(5(0(x1))))) -> 0(1(5(2(0(0(x1)))))) 0(2(5(0(1(x1))))) -> 2(0(3(5(0(1(x1)))))) 0(3(1(0(0(x1))))) -> 0(0(3(0(1(2(x1)))))) 0(4(1(4(1(x1))))) -> 4(4(0(1(2(1(x1)))))) 0(5(5(4(1(x1))))) -> 4(1(0(5(5(3(x1)))))) 4(1(5(0(0(x1))))) -> 1(2(0(4(5(0(x1)))))) 4(1(5(5(0(x1))))) -> 5(1(3(0(5(4(x1)))))) 4(3(1(0(1(x1))))) -> 1(1(2(3(0(4(x1)))))) 4(3(1(1(0(x1))))) -> 1(2(0(1(4(3(x1)))))) 4(3(1(5(0(x1))))) -> 5(1(0(3(2(4(x1)))))) 4(4(1(0(5(x1))))) -> 4(0(5(3(4(1(x1)))))) TDG Processor: DPs: 0#(0(1(x1))) -> 0#(3(x1)) 0#(0(1(x1))) -> 0#(1(2(0(3(x1))))) 0#(0(1(x1))) -> 0#(3(2(x1))) 0#(0(1(x1))) -> 0#(1(2(0(3(2(x1)))))) 0#(0(1(x1))) -> 0#(0(3(2(x1)))) 0#(1(0(x1))) -> 0#(3(1(2(0(x1))))) 0#(4(1(x1))) -> 0#(3(1(x1))) 0#(4(1(x1))) -> 4#(0(3(1(x1)))) 0#(4(1(x1))) -> 0#(3(2(1(x1)))) 0#(4(1(x1))) -> 4#(0(3(2(1(x1))))) 0#(4(1(x1))) -> 5#(3(1(x1))) 0#(4(1(x1))) -> 0#(5(3(1(x1)))) 0#(4(1(x1))) -> 4#(0(5(3(1(x1))))) 0#(4(1(x1))) -> 0#(3(x1)) 0#(4(1(x1))) -> 4#(2(1(2(0(3(x1)))))) 4#(1(0(x1))) -> 4#(x1) 4#(1(0(x1))) -> 0#(4(x1)) 0#(0(1(1(x1)))) -> 0#(3(1(x1))) 0#(0(1(1(x1)))) -> 0#(0(3(1(x1)))) 0#(0(2(1(x1)))) -> 0#(1(x1)) 0#(0(2(1(x1)))) -> 0#(3(0(1(x1)))) 0#(0(4(1(x1)))) -> 0#(3(x1)) 0#(0(4(1(x1)))) -> 0#(3(0(3(x1)))) 0#(0(4(1(x1)))) -> 4#(0(3(0(3(x1))))) 0#(0(5(1(x1)))) -> 5#(x1) 0#(0(5(1(x1)))) -> 0#(3(1(2(5(x1))))) 0#(0(5(1(x1)))) -> 0#(0(3(1(2(5(x1)))))) 0#(1(1(0(x1)))) -> 0#(1(2(x1))) 0#(1(1(0(x1)))) -> 0#(0(1(2(x1)))) 0#(1(4(1(x1)))) -> 4#(1(2(x1))) 0#(1(4(1(x1)))) -> 0#(1(2(4(1(2(x1)))))) 0#(1(5(0(x1)))) -> 0#(3(x1)) 0#(1(5(0(x1)))) -> 0#(0(3(x1))) 0#(1(5(0(x1)))) -> 5#(0(0(3(x1)))) 0#(2(4(1(x1)))) -> 5#(3(1(2(x1)))) 0#(2(4(1(x1)))) -> 0#(5(3(1(2(x1))))) 0#(2(4(1(x1)))) -> 4#(0(5(3(1(2(x1)))))) 0#(4(1(0(x1)))) -> 0#(1(2(x1))) 0#(4(1(0(x1)))) -> 4#(0(1(2(x1)))) 0#(4(1(0(x1)))) -> 0#(4(0(1(2(x1))))) 0#(4(2(1(x1)))) -> 0#(3(2(2(1(x1))))) 0#(4(2(1(x1)))) -> 4#(0(3(2(2(1(x1)))))) 0#(4(2(1(x1)))) -> 5#(1(2(x1))) 0#(4(2(1(x1)))) -> 0#(3(5(1(2(x1))))) 0#(4(2(1(x1)))) -> 4#(0(3(5(1(2(x1)))))) 0#(4(4(1(x1)))) -> 0#(3(4(1(x1)))) 0#(4(4(1(x1)))) -> 4#(0(3(4(1(x1))))) 0#(5(0(1(x1)))) -> 5#(1(x1)) 0#(5(0(1(x1)))) -> 0#(3(5(1(x1)))) 0#(5(0(1(x1)))) -> 0#(2(0(3(5(1(x1)))))) 0#(5(0(1(x1)))) -> 0#(3(0(1(x1)))) 0#(5(0(1(x1)))) -> 5#(2(0(3(0(1(x1)))))) 0#(5(1(0(x1)))) -> 5#(x1) 0#(5(1(0(x1)))) -> 0#(3(5(x1))) 0#(5(1(0(x1)))) -> 0#(1(2(0(3(5(x1)))))) 0#(5(1(0(x1)))) -> 5#(0(x1)) 0#(5(1(0(x1)))) -> 0#(1(3(5(0(x1))))) 4#(0(5(1(x1)))) -> 5#(3(2(x1))) 4#(0(5(1(x1)))) -> 0#(5(3(2(x1)))) 4#(0(5(1(x1)))) -> 4#(0(5(3(2(x1))))) 4#(1(0(0(x1)))) -> 4#(1(2(0(x1)))) 4#(1(0(0(x1)))) -> 0#(4(1(2(0(x1))))) 4#(1(0(1(x1)))) -> 4#(x1) 4#(1(0(1(x1)))) -> 0#(4(x1)) 4#(1(5(0(x1)))) -> 4#(x1) 4#(1(5(0(x1)))) -> 5#(4(x1)) 4#(1(5(0(x1)))) -> 0#(5(4(x1))) 4#(1(5(0(x1)))) -> 5#(x1) 4#(1(5(0(x1)))) -> 0#(3(5(x1))) 4#(1(5(0(x1)))) -> 4#(0(3(5(x1)))) 4#(3(1(0(x1)))) -> 0#(3(x1)) 4#(3(1(0(x1)))) -> 4#(2(0(3(x1)))) 4#(3(1(0(x1)))) -> 4#(x1) 4#(3(1(0(x1)))) -> 0#(2(1(3(4(x1))))) 4#(3(1(0(x1)))) -> 0#(1(3(x1))) 4#(3(1(0(x1)))) -> 4#(0(1(3(x1)))) 5#(0(1(0(x1)))) -> 5#(1(2(0(x1)))) 5#(0(1(0(x1)))) -> 0#(3(5(1(2(0(x1)))))) 5#(0(1(0(x1)))) -> 0#(3(0(x1))) 5#(0(1(0(x1)))) -> 5#(2(0(3(0(x1))))) 5#(4(1(0(x1)))) -> 5#(2(x1)) 5#(4(1(0(x1)))) -> 4#(5(2(x1))) 5#(4(1(0(x1)))) -> 0#(1(2(4(5(2(x1)))))) 0#(0(5(5(1(x1))))) -> 5#(x1) 0#(0(5(5(1(x1))))) -> 5#(5(x1)) 0#(0(5(5(1(x1))))) -> 0#(3(5(5(x1)))) 0#(0(5(5(1(x1))))) -> 0#(0(3(5(5(x1))))) 0#(1(0(5(0(x1))))) -> 0#(0(x1)) 0#(1(0(5(0(x1))))) -> 5#(2(0(0(x1)))) 0#(1(0(5(0(x1))))) -> 0#(1(5(2(0(0(x1)))))) 0#(2(5(0(1(x1))))) -> 0#(3(5(0(1(x1))))) 0#(3(1(0(0(x1))))) -> 0#(1(2(x1))) 0#(3(1(0(0(x1))))) -> 0#(3(0(1(2(x1))))) 0#(3(1(0(0(x1))))) -> 0#(0(3(0(1(2(x1)))))) 0#(4(1(4(1(x1))))) -> 0#(1(2(1(x1)))) 0#(4(1(4(1(x1))))) -> 4#(0(1(2(1(x1))))) 0#(4(1(4(1(x1))))) -> 4#(4(0(1(2(1(x1)))))) 0#(5(5(4(1(x1))))) -> 5#(3(x1)) 0#(5(5(4(1(x1))))) -> 5#(5(3(x1))) 0#(5(5(4(1(x1))))) -> 0#(5(5(3(x1)))) 0#(5(5(4(1(x1))))) -> 4#(1(0(5(5(3(x1)))))) 4#(1(5(0(0(x1))))) -> 5#(0(x1)) 4#(1(5(0(0(x1))))) -> 4#(5(0(x1))) 4#(1(5(0(0(x1))))) -> 0#(4(5(0(x1)))) 4#(1(5(5(0(x1))))) -> 4#(x1) 4#(1(5(5(0(x1))))) -> 5#(4(x1)) 4#(1(5(5(0(x1))))) -> 0#(5(4(x1))) 4#(1(5(5(0(x1))))) -> 5#(1(3(0(5(4(x1)))))) 4#(3(1(0(1(x1))))) -> 4#(x1) 4#(3(1(0(1(x1))))) -> 0#(4(x1)) 4#(3(1(1(0(x1))))) -> 4#(3(x1)) 4#(3(1(1(0(x1))))) -> 0#(1(4(3(x1)))) 4#(3(1(5(0(x1))))) -> 4#(x1) 4#(3(1(5(0(x1))))) -> 0#(3(2(4(x1)))) 4#(3(1(5(0(x1))))) -> 5#(1(0(3(2(4(x1)))))) 4#(4(1(0(5(x1))))) -> 4#(1(x1)) 4#(4(1(0(5(x1))))) -> 5#(3(4(1(x1)))) 4#(4(1(0(5(x1))))) -> 0#(5(3(4(1(x1))))) 4#(4(1(0(5(x1))))) -> 4#(0(5(3(4(1(x1)))))) TRS: 0(0(1(x1))) -> 0(1(2(0(3(x1))))) 0(0(1(x1))) -> 0(1(2(0(3(2(x1)))))) 0(0(1(x1))) -> 1(2(0(0(3(2(x1)))))) 0(1(0(x1))) -> 2(0(3(1(2(0(x1)))))) 0(4(1(x1))) -> 4(0(3(1(x1)))) 0(4(1(x1))) -> 2(4(0(3(2(1(x1)))))) 0(4(1(x1))) -> 2(4(0(5(3(1(x1)))))) 0(4(1(x1))) -> 4(2(1(2(0(3(x1)))))) 4(1(0(x1))) -> 1(2(0(4(x1)))) 0(0(1(1(x1)))) -> 1(2(0(0(3(1(x1)))))) 0(0(2(1(x1)))) -> 2(2(0(3(0(1(x1)))))) 0(0(4(1(x1)))) -> 1(4(0(3(0(3(x1)))))) 0(0(5(1(x1)))) -> 0(0(3(1(2(5(x1)))))) 0(1(1(0(x1)))) -> 1(2(0(0(1(2(x1)))))) 0(1(4(1(x1)))) -> 0(1(2(4(1(2(x1)))))) 0(1(5(0(x1)))) -> 1(2(5(0(0(3(x1)))))) 0(2(4(1(x1)))) -> 4(0(5(3(1(2(x1)))))) 0(4(1(0(x1)))) -> 0(4(0(1(2(x1))))) 0(4(2(1(x1)))) -> 4(0(3(2(2(1(x1)))))) 0(4(2(1(x1)))) -> 4(0(3(5(1(2(x1)))))) 0(4(4(1(x1)))) -> 2(4(0(3(4(1(x1)))))) 0(5(0(1(x1)))) -> 0(2(0(3(5(1(x1)))))) 0(5(0(1(x1)))) -> 5(2(0(3(0(1(x1)))))) 0(5(1(0(x1)))) -> 0(1(2(0(3(5(x1)))))) 0(5(1(0(x1)))) -> 2(0(1(3(5(0(x1)))))) 4(0(5(1(x1)))) -> 1(4(0(5(3(2(x1)))))) 4(1(0(0(x1)))) -> 0(4(1(2(0(x1))))) 4(1(0(1(x1)))) -> 1(1(2(0(4(x1))))) 4(1(5(0(x1)))) -> 1(2(0(5(4(x1))))) 4(1(5(0(x1)))) -> 1(4(0(3(5(x1))))) 4(3(1(0(x1)))) -> 1(4(2(0(3(x1))))) 4(3(1(0(x1)))) -> 2(0(2(1(3(4(x1)))))) 4(3(1(0(x1)))) -> 2(1(4(2(0(3(x1)))))) 4(3(1(0(x1)))) -> 2(2(4(0(1(3(x1)))))) 5(0(1(0(x1)))) -> 0(3(5(1(2(0(x1)))))) 5(0(1(0(x1)))) -> 1(5(2(0(3(0(x1)))))) 5(4(1(0(x1)))) -> 0(1(2(4(5(2(x1)))))) 0(0(5(5(1(x1))))) -> 1(0(0(3(5(5(x1)))))) 0(1(0(5(0(x1))))) -> 0(1(5(2(0(0(x1)))))) 0(2(5(0(1(x1))))) -> 2(0(3(5(0(1(x1)))))) 0(3(1(0(0(x1))))) -> 0(0(3(0(1(2(x1)))))) 0(4(1(4(1(x1))))) -> 4(4(0(1(2(1(x1)))))) 0(5(5(4(1(x1))))) -> 4(1(0(5(5(3(x1)))))) 4(1(5(0(0(x1))))) -> 1(2(0(4(5(0(x1)))))) 4(1(5(5(0(x1))))) -> 5(1(3(0(5(4(x1)))))) 4(3(1(0(1(x1))))) -> 1(1(2(3(0(4(x1)))))) 4(3(1(1(0(x1))))) -> 1(2(0(1(4(3(x1)))))) 4(3(1(5(0(x1))))) -> 5(1(0(3(2(4(x1)))))) 4(4(1(0(5(x1))))) -> 4(0(5(3(4(1(x1)))))) graph: ... KBO Processor: argument filtering: pi(1) = [0] pi(0) = 0 pi(3) = 0 pi(2) = 0 pi(4) = 0 pi(5) = 0 pi(0#) = 0 pi(4#) = 0 pi(5#) = 0 weight function: w0 = 1 w(5#) = w(4#) = w(0#) = w(5) = w(4) = w(2) = w(3) = w(0) = w(1) = 0 precedence: 5# ~ 4# ~ 0# ~ 5 ~ 4 ~ 2 ~ 3 ~ 0 ~ 1 problem: DPs: 0#(0(1(x1))) -> 0#(1(2(0(3(x1))))) 0#(0(1(x1))) -> 0#(1(2(0(3(2(x1)))))) 0#(1(0(x1))) -> 0#(3(1(2(0(x1))))) 0#(4(1(x1))) -> 0#(3(1(x1))) 0#(4(1(x1))) -> 4#(0(3(1(x1)))) 0#(4(1(x1))) -> 0#(3(2(1(x1)))) 0#(4(1(x1))) -> 4#(0(3(2(1(x1))))) 0#(4(1(x1))) -> 5#(3(1(x1))) 0#(4(1(x1))) -> 0#(5(3(1(x1)))) 0#(4(1(x1))) -> 4#(0(5(3(1(x1))))) 0#(4(1(x1))) -> 4#(2(1(2(0(3(x1)))))) 0#(0(2(1(x1)))) -> 0#(1(x1)) 0#(0(2(1(x1)))) -> 0#(3(0(1(x1)))) 0#(0(5(1(x1)))) -> 0#(3(1(2(5(x1))))) 0#(0(5(1(x1)))) -> 0#(0(3(1(2(5(x1)))))) 0#(1(4(1(x1)))) -> 0#(1(2(4(1(2(x1)))))) 0#(2(4(1(x1)))) -> 5#(3(1(2(x1)))) 0#(2(4(1(x1)))) -> 0#(5(3(1(2(x1))))) 0#(2(4(1(x1)))) -> 4#(0(5(3(1(2(x1)))))) 0#(4(1(0(x1)))) -> 0#(1(2(x1))) 0#(4(1(0(x1)))) -> 4#(0(1(2(x1)))) 0#(4(1(0(x1)))) -> 0#(4(0(1(2(x1))))) 0#(4(2(1(x1)))) -> 0#(3(2(2(1(x1))))) 0#(4(2(1(x1)))) -> 4#(0(3(2(2(1(x1)))))) 0#(4(2(1(x1)))) -> 5#(1(2(x1))) 0#(4(2(1(x1)))) -> 0#(3(5(1(2(x1))))) 0#(4(2(1(x1)))) -> 4#(0(3(5(1(2(x1)))))) 0#(4(4(1(x1)))) -> 0#(3(4(1(x1)))) 0#(4(4(1(x1)))) -> 4#(0(3(4(1(x1))))) 0#(5(0(1(x1)))) -> 5#(1(x1)) 0#(5(0(1(x1)))) -> 0#(3(5(1(x1)))) 0#(5(0(1(x1)))) -> 0#(2(0(3(5(1(x1)))))) 0#(5(0(1(x1)))) -> 0#(3(0(1(x1)))) 0#(5(0(1(x1)))) -> 5#(2(0(3(0(1(x1)))))) 0#(5(1(0(x1)))) -> 0#(1(2(0(3(5(x1)))))) 0#(5(1(0(x1)))) -> 0#(1(3(5(0(x1))))) 4#(1(0(0(x1)))) -> 4#(1(2(0(x1)))) 4#(1(0(0(x1)))) -> 0#(4(1(2(0(x1))))) 4#(3(1(0(x1)))) -> 0#(2(1(3(4(x1))))) 4#(3(1(0(x1)))) -> 0#(1(3(x1))) 4#(3(1(0(x1)))) -> 4#(0(1(3(x1)))) 5#(0(1(0(x1)))) -> 5#(1(2(0(x1)))) 5#(0(1(0(x1)))) -> 0#(3(5(1(2(0(x1)))))) 5#(4(1(0(x1)))) -> 0#(1(2(4(5(2(x1)))))) 0#(1(0(5(0(x1))))) -> 0#(1(5(2(0(0(x1)))))) 0#(2(5(0(1(x1))))) -> 0#(3(5(0(1(x1))))) 0#(3(1(0(0(x1))))) -> 0#(1(2(x1))) 0#(3(1(0(0(x1))))) -> 0#(3(0(1(2(x1))))) 0#(3(1(0(0(x1))))) -> 0#(0(3(0(1(2(x1)))))) 0#(4(1(4(1(x1))))) -> 0#(1(2(1(x1)))) 0#(4(1(4(1(x1))))) -> 4#(0(1(2(1(x1))))) 0#(4(1(4(1(x1))))) -> 4#(4(0(1(2(1(x1)))))) 0#(5(5(4(1(x1))))) -> 4#(1(0(5(5(3(x1)))))) 4#(1(5(5(0(x1))))) -> 5#(1(3(0(5(4(x1)))))) 4#(3(1(5(0(x1))))) -> 5#(1(0(3(2(4(x1)))))) 4#(4(1(0(5(x1))))) -> 4#(1(x1)) 4#(4(1(0(5(x1))))) -> 5#(3(4(1(x1)))) 4#(4(1(0(5(x1))))) -> 0#(5(3(4(1(x1))))) 4#(4(1(0(5(x1))))) -> 4#(0(5(3(4(1(x1)))))) TRS: 0(0(1(x1))) -> 0(1(2(0(3(x1))))) 0(0(1(x1))) -> 0(1(2(0(3(2(x1)))))) 0(0(1(x1))) -> 1(2(0(0(3(2(x1)))))) 0(1(0(x1))) -> 2(0(3(1(2(0(x1)))))) 0(4(1(x1))) -> 4(0(3(1(x1)))) 0(4(1(x1))) -> 2(4(0(3(2(1(x1)))))) 0(4(1(x1))) -> 2(4(0(5(3(1(x1)))))) 0(4(1(x1))) -> 4(2(1(2(0(3(x1)))))) 4(1(0(x1))) -> 1(2(0(4(x1)))) 0(0(1(1(x1)))) -> 1(2(0(0(3(1(x1)))))) 0(0(2(1(x1)))) -> 2(2(0(3(0(1(x1)))))) 0(0(4(1(x1)))) -> 1(4(0(3(0(3(x1)))))) 0(0(5(1(x1)))) -> 0(0(3(1(2(5(x1)))))) 0(1(1(0(x1)))) -> 1(2(0(0(1(2(x1)))))) 0(1(4(1(x1)))) -> 0(1(2(4(1(2(x1)))))) 0(1(5(0(x1)))) -> 1(2(5(0(0(3(x1)))))) 0(2(4(1(x1)))) -> 4(0(5(3(1(2(x1)))))) 0(4(1(0(x1)))) -> 0(4(0(1(2(x1))))) 0(4(2(1(x1)))) -> 4(0(3(2(2(1(x1)))))) 0(4(2(1(x1)))) -> 4(0(3(5(1(2(x1)))))) 0(4(4(1(x1)))) -> 2(4(0(3(4(1(x1)))))) 0(5(0(1(x1)))) -> 0(2(0(3(5(1(x1)))))) 0(5(0(1(x1)))) -> 5(2(0(3(0(1(x1)))))) 0(5(1(0(x1)))) -> 0(1(2(0(3(5(x1)))))) 0(5(1(0(x1)))) -> 2(0(1(3(5(0(x1)))))) 4(0(5(1(x1)))) -> 1(4(0(5(3(2(x1)))))) 4(1(0(0(x1)))) -> 0(4(1(2(0(x1))))) 4(1(0(1(x1)))) -> 1(1(2(0(4(x1))))) 4(1(5(0(x1)))) -> 1(2(0(5(4(x1))))) 4(1(5(0(x1)))) -> 1(4(0(3(5(x1))))) 4(3(1(0(x1)))) -> 1(4(2(0(3(x1))))) 4(3(1(0(x1)))) -> 2(0(2(1(3(4(x1)))))) 4(3(1(0(x1)))) -> 2(1(4(2(0(3(x1)))))) 4(3(1(0(x1)))) -> 2(2(4(0(1(3(x1)))))) 5(0(1(0(x1)))) -> 0(3(5(1(2(0(x1)))))) 5(0(1(0(x1)))) -> 1(5(2(0(3(0(x1)))))) 5(4(1(0(x1)))) -> 0(1(2(4(5(2(x1)))))) 0(0(5(5(1(x1))))) -> 1(0(0(3(5(5(x1)))))) 0(1(0(5(0(x1))))) -> 0(1(5(2(0(0(x1)))))) 0(2(5(0(1(x1))))) -> 2(0(3(5(0(1(x1)))))) 0(3(1(0(0(x1))))) -> 0(0(3(0(1(2(x1)))))) 0(4(1(4(1(x1))))) -> 4(4(0(1(2(1(x1)))))) 0(5(5(4(1(x1))))) -> 4(1(0(5(5(3(x1)))))) 4(1(5(0(0(x1))))) -> 1(2(0(4(5(0(x1)))))) 4(1(5(5(0(x1))))) -> 5(1(3(0(5(4(x1)))))) 4(3(1(0(1(x1))))) -> 1(1(2(3(0(4(x1)))))) 4(3(1(1(0(x1))))) -> 1(2(0(1(4(3(x1)))))) 4(3(1(5(0(x1))))) -> 5(1(0(3(2(4(x1)))))) 4(4(1(0(5(x1))))) -> 4(0(5(3(4(1(x1)))))) EDG Processor: DPs: 0#(0(1(x1))) -> 0#(1(2(0(3(x1))))) 0#(0(1(x1))) -> 0#(1(2(0(3(2(x1)))))) 0#(1(0(x1))) -> 0#(3(1(2(0(x1))))) 0#(4(1(x1))) -> 0#(3(1(x1))) 0#(4(1(x1))) -> 4#(0(3(1(x1)))) 0#(4(1(x1))) -> 0#(3(2(1(x1)))) 0#(4(1(x1))) -> 4#(0(3(2(1(x1))))) 0#(4(1(x1))) -> 5#(3(1(x1))) 0#(4(1(x1))) -> 0#(5(3(1(x1)))) 0#(4(1(x1))) -> 4#(0(5(3(1(x1))))) 0#(4(1(x1))) -> 4#(2(1(2(0(3(x1)))))) 0#(0(2(1(x1)))) -> 0#(1(x1)) 0#(0(2(1(x1)))) -> 0#(3(0(1(x1)))) 0#(0(5(1(x1)))) -> 0#(3(1(2(5(x1))))) 0#(0(5(1(x1)))) -> 0#(0(3(1(2(5(x1)))))) 0#(1(4(1(x1)))) -> 0#(1(2(4(1(2(x1)))))) 0#(2(4(1(x1)))) -> 5#(3(1(2(x1)))) 0#(2(4(1(x1)))) -> 0#(5(3(1(2(x1))))) 0#(2(4(1(x1)))) -> 4#(0(5(3(1(2(x1)))))) 0#(4(1(0(x1)))) -> 0#(1(2(x1))) 0#(4(1(0(x1)))) -> 4#(0(1(2(x1)))) 0#(4(1(0(x1)))) -> 0#(4(0(1(2(x1))))) 0#(4(2(1(x1)))) -> 0#(3(2(2(1(x1))))) 0#(4(2(1(x1)))) -> 4#(0(3(2(2(1(x1)))))) 0#(4(2(1(x1)))) -> 5#(1(2(x1))) 0#(4(2(1(x1)))) -> 0#(3(5(1(2(x1))))) 0#(4(2(1(x1)))) -> 4#(0(3(5(1(2(x1)))))) 0#(4(4(1(x1)))) -> 0#(3(4(1(x1)))) 0#(4(4(1(x1)))) -> 4#(0(3(4(1(x1))))) 0#(5(0(1(x1)))) -> 5#(1(x1)) 0#(5(0(1(x1)))) -> 0#(3(5(1(x1)))) 0#(5(0(1(x1)))) -> 0#(2(0(3(5(1(x1)))))) 0#(5(0(1(x1)))) -> 0#(3(0(1(x1)))) 0#(5(0(1(x1)))) -> 5#(2(0(3(0(1(x1)))))) 0#(5(1(0(x1)))) -> 0#(1(2(0(3(5(x1)))))) 0#(5(1(0(x1)))) -> 0#(1(3(5(0(x1))))) 4#(1(0(0(x1)))) -> 4#(1(2(0(x1)))) 4#(1(0(0(x1)))) -> 0#(4(1(2(0(x1))))) 4#(3(1(0(x1)))) -> 0#(2(1(3(4(x1))))) 4#(3(1(0(x1)))) -> 0#(1(3(x1))) 4#(3(1(0(x1)))) -> 4#(0(1(3(x1)))) 5#(0(1(0(x1)))) -> 5#(1(2(0(x1)))) 5#(0(1(0(x1)))) -> 0#(3(5(1(2(0(x1)))))) 5#(4(1(0(x1)))) -> 0#(1(2(4(5(2(x1)))))) 0#(1(0(5(0(x1))))) -> 0#(1(5(2(0(0(x1)))))) 0#(2(5(0(1(x1))))) -> 0#(3(5(0(1(x1))))) 0#(3(1(0(0(x1))))) -> 0#(1(2(x1))) 0#(3(1(0(0(x1))))) -> 0#(3(0(1(2(x1))))) 0#(3(1(0(0(x1))))) -> 0#(0(3(0(1(2(x1)))))) 0#(4(1(4(1(x1))))) -> 0#(1(2(1(x1)))) 0#(4(1(4(1(x1))))) -> 4#(0(1(2(1(x1))))) 0#(4(1(4(1(x1))))) -> 4#(4(0(1(2(1(x1)))))) 0#(5(5(4(1(x1))))) -> 4#(1(0(5(5(3(x1)))))) 4#(1(5(5(0(x1))))) -> 5#(1(3(0(5(4(x1)))))) 4#(3(1(5(0(x1))))) -> 5#(1(0(3(2(4(x1)))))) 4#(4(1(0(5(x1))))) -> 4#(1(x1)) 4#(4(1(0(5(x1))))) -> 5#(3(4(1(x1)))) 4#(4(1(0(5(x1))))) -> 0#(5(3(4(1(x1))))) 4#(4(1(0(5(x1))))) -> 4#(0(5(3(4(1(x1)))))) TRS: 0(0(1(x1))) -> 0(1(2(0(3(x1))))) 0(0(1(x1))) -> 0(1(2(0(3(2(x1)))))) 0(0(1(x1))) -> 1(2(0(0(3(2(x1)))))) 0(1(0(x1))) -> 2(0(3(1(2(0(x1)))))) 0(4(1(x1))) -> 4(0(3(1(x1)))) 0(4(1(x1))) -> 2(4(0(3(2(1(x1)))))) 0(4(1(x1))) -> 2(4(0(5(3(1(x1)))))) 0(4(1(x1))) -> 4(2(1(2(0(3(x1)))))) 4(1(0(x1))) -> 1(2(0(4(x1)))) 0(0(1(1(x1)))) -> 1(2(0(0(3(1(x1)))))) 0(0(2(1(x1)))) -> 2(2(0(3(0(1(x1)))))) 0(0(4(1(x1)))) -> 1(4(0(3(0(3(x1)))))) 0(0(5(1(x1)))) -> 0(0(3(1(2(5(x1)))))) 0(1(1(0(x1)))) -> 1(2(0(0(1(2(x1)))))) 0(1(4(1(x1)))) -> 0(1(2(4(1(2(x1)))))) 0(1(5(0(x1)))) -> 1(2(5(0(0(3(x1)))))) 0(2(4(1(x1)))) -> 4(0(5(3(1(2(x1)))))) 0(4(1(0(x1)))) -> 0(4(0(1(2(x1))))) 0(4(2(1(x1)))) -> 4(0(3(2(2(1(x1)))))) 0(4(2(1(x1)))) -> 4(0(3(5(1(2(x1)))))) 0(4(4(1(x1)))) -> 2(4(0(3(4(1(x1)))))) 0(5(0(1(x1)))) -> 0(2(0(3(5(1(x1)))))) 0(5(0(1(x1)))) -> 5(2(0(3(0(1(x1)))))) 0(5(1(0(x1)))) -> 0(1(2(0(3(5(x1)))))) 0(5(1(0(x1)))) -> 2(0(1(3(5(0(x1)))))) 4(0(5(1(x1)))) -> 1(4(0(5(3(2(x1)))))) 4(1(0(0(x1)))) -> 0(4(1(2(0(x1))))) 4(1(0(1(x1)))) -> 1(1(2(0(4(x1))))) 4(1(5(0(x1)))) -> 1(2(0(5(4(x1))))) 4(1(5(0(x1)))) -> 1(4(0(3(5(x1))))) 4(3(1(0(x1)))) -> 1(4(2(0(3(x1))))) 4(3(1(0(x1)))) -> 2(0(2(1(3(4(x1)))))) 4(3(1(0(x1)))) -> 2(1(4(2(0(3(x1)))))) 4(3(1(0(x1)))) -> 2(2(4(0(1(3(x1)))))) 5(0(1(0(x1)))) -> 0(3(5(1(2(0(x1)))))) 5(0(1(0(x1)))) -> 1(5(2(0(3(0(x1)))))) 5(4(1(0(x1)))) -> 0(1(2(4(5(2(x1)))))) 0(0(5(5(1(x1))))) -> 1(0(0(3(5(5(x1)))))) 0(1(0(5(0(x1))))) -> 0(1(5(2(0(0(x1)))))) 0(2(5(0(1(x1))))) -> 2(0(3(5(0(1(x1)))))) 0(3(1(0(0(x1))))) -> 0(0(3(0(1(2(x1)))))) 0(4(1(4(1(x1))))) -> 4(4(0(1(2(1(x1)))))) 0(5(5(4(1(x1))))) -> 4(1(0(5(5(3(x1)))))) 4(1(5(0(0(x1))))) -> 1(2(0(4(5(0(x1)))))) 4(1(5(5(0(x1))))) -> 5(1(3(0(5(4(x1)))))) 4(3(1(0(1(x1))))) -> 1(1(2(3(0(4(x1)))))) 4(3(1(1(0(x1))))) -> 1(2(0(1(4(3(x1)))))) 4(3(1(5(0(x1))))) -> 5(1(0(3(2(4(x1)))))) 4(4(1(0(5(x1))))) -> 4(0(5(3(4(1(x1)))))) graph: 4#(4(1(0(5(x1))))) -> 4#(1(x1)) -> 4#(1(0(0(x1)))) -> 4#(1(2(0(x1)))) 4#(4(1(0(5(x1))))) -> 4#(1(x1)) -> 4#(1(0(0(x1)))) -> 0#(4(1(2(0(x1))))) 4#(4(1(0(5(x1))))) -> 4#(1(x1)) -> 4#(1(5(5(0(x1))))) -> 5#(1(3(0(5(4(x1)))))) 4#(1(0(0(x1)))) -> 0#(4(1(2(0(x1))))) -> 0#(4(1(x1))) -> 0#(3(1(x1))) 4#(1(0(0(x1)))) -> 0#(4(1(2(0(x1))))) -> 0#(4(1(x1))) -> 4#(0(3(1(x1)))) 4#(1(0(0(x1)))) -> 0#(4(1(2(0(x1))))) -> 0#(4(1(x1))) -> 0#(3(2(1(x1)))) 4#(1(0(0(x1)))) -> 0#(4(1(2(0(x1))))) -> 0#(4(1(x1))) -> 4#(0(3(2(1(x1))))) 4#(1(0(0(x1)))) -> 0#(4(1(2(0(x1))))) -> 0#(4(1(x1))) -> 5#(3(1(x1))) 4#(1(0(0(x1)))) -> 0#(4(1(2(0(x1))))) -> 0#(4(1(x1))) -> 0#(5(3(1(x1)))) 4#(1(0(0(x1)))) -> 0#(4(1(2(0(x1))))) -> 0#(4(1(x1))) -> 4#(0(5(3(1(x1))))) 4#(1(0(0(x1)))) -> 0#(4(1(2(0(x1))))) -> 0#(4(1(x1))) -> 4#(2(1(2(0(3(x1)))))) 0#(5(0(1(x1)))) -> 0#(3(0(1(x1)))) -> 0#(3(1(0(0(x1))))) -> 0#(1(2(x1))) 0#(5(0(1(x1)))) -> 0#(3(0(1(x1)))) -> 0#(3(1(0(0(x1))))) -> 0#(3(0(1(2(x1))))) 0#(5(0(1(x1)))) -> 0#(3(0(1(x1)))) -> 0#(3(1(0(0(x1))))) -> 0#(0(3(0(1(2(x1)))))) 0#(4(4(1(x1)))) -> 4#(0(3(4(1(x1))))) -> 4#(1(0(0(x1)))) -> 4#(1(2(0(x1)))) 0#(4(4(1(x1)))) -> 4#(0(3(4(1(x1))))) -> 4#(1(0(0(x1)))) -> 0#(4(1(2(0(x1))))) 0#(4(4(1(x1)))) -> 4#(0(3(4(1(x1))))) -> 4#(1(5(5(0(x1))))) -> 5#(1(3(0(5(4(x1)))))) 0#(4(4(1(x1)))) -> 4#(0(3(4(1(x1))))) -> 4#(4(1(0(5(x1))))) -> 4#(1(x1)) 0#(4(4(1(x1)))) -> 4#(0(3(4(1(x1))))) -> 4#(4(1(0(5(x1))))) -> 5#(3(4(1(x1)))) 0#(4(4(1(x1)))) -> 4#(0(3(4(1(x1))))) -> 4#(4(1(0(5(x1))))) -> 0#(5(3(4(1(x1))))) 0#(4(4(1(x1)))) -> 4#(0(3(4(1(x1))))) -> 4#(4(1(0(5(x1))))) -> 4#(0(5(3(4(1(x1)))))) 0#(4(4(1(x1)))) -> 0#(3(4(1(x1)))) -> 0#(3(1(0(0(x1))))) -> 0#(1(2(x1))) 0#(4(4(1(x1)))) -> 0#(3(4(1(x1)))) -> 0#(3(1(0(0(x1))))) -> 0#(3(0(1(2(x1))))) 0#(4(4(1(x1)))) -> 0#(3(4(1(x1)))) -> 0#(3(1(0(0(x1))))) -> 0#(0(3(0(1(2(x1)))))) 0#(4(1(x1))) -> 4#(0(3(1(x1)))) -> 4#(1(0(0(x1)))) -> 4#(1(2(0(x1)))) 0#(4(1(x1))) -> 4#(0(3(1(x1)))) -> 4#(1(0(0(x1)))) -> 0#(4(1(2(0(x1))))) 0#(4(1(x1))) -> 4#(0(3(1(x1)))) -> 4#(1(5(5(0(x1))))) -> 5#(1(3(0(5(4(x1)))))) 0#(4(1(x1))) -> 4#(0(3(1(x1)))) -> 4#(4(1(0(5(x1))))) -> 4#(1(x1)) 0#(4(1(x1))) -> 4#(0(3(1(x1)))) -> 4#(4(1(0(5(x1))))) -> 5#(3(4(1(x1)))) 0#(4(1(x1))) -> 4#(0(3(1(x1)))) -> 4#(4(1(0(5(x1))))) -> 0#(5(3(4(1(x1))))) 0#(4(1(x1))) -> 4#(0(3(1(x1)))) -> 4#(4(1(0(5(x1))))) -> 4#(0(5(3(4(1(x1)))))) 0#(4(1(x1))) -> 0#(3(1(x1))) -> 0#(3(1(0(0(x1))))) -> 0#(1(2(x1))) 0#(4(1(x1))) -> 0#(3(1(x1))) -> 0#(3(1(0(0(x1))))) -> 0#(3(0(1(2(x1))))) 0#(4(1(x1))) -> 0#(3(1(x1))) -> 0#(3(1(0(0(x1))))) -> 0#(0(3(0(1(2(x1)))))) 0#(2(5(0(1(x1))))) -> 0#(3(5(0(1(x1))))) -> 0#(3(1(0(0(x1))))) -> 0#(1(2(x1))) 0#(2(5(0(1(x1))))) -> 0#(3(5(0(1(x1))))) -> 0#(3(1(0(0(x1))))) -> 0#(3(0(1(2(x1))))) 0#(2(5(0(1(x1))))) -> 0#(3(5(0(1(x1))))) -> 0#(3(1(0(0(x1))))) -> 0#(0(3(0(1(2(x1)))))) 0#(0(2(1(x1)))) -> 0#(3(0(1(x1)))) -> 0#(3(1(0(0(x1))))) -> 0#(1(2(x1))) 0#(0(2(1(x1)))) -> 0#(3(0(1(x1)))) -> 0#(3(1(0(0(x1))))) -> 0#(3(0(1(2(x1))))) 0#(0(2(1(x1)))) -> 0#(3(0(1(x1)))) -> 0#(3(1(0(0(x1))))) -> 0#(0(3(0(1(2(x1)))))) 0#(0(2(1(x1)))) -> 0#(1(x1)) -> 0#(1(0(x1))) -> 0#(3(1(2(0(x1))))) 0#(0(2(1(x1)))) -> 0#(1(x1)) -> 0#(1(4(1(x1)))) -> 0#(1(2(4(1(2(x1)))))) 0#(0(2(1(x1)))) -> 0#(1(x1)) -> 0#(1(0(5(0(x1))))) -> 0#(1(5(2(0(0(x1)))))) SCC Processor: #sccs: 1 #rules: 3 #arcs: 43/3481 DPs: 4#(4(1(0(5(x1))))) -> 4#(1(x1)) 4#(1(0(0(x1)))) -> 0#(4(1(2(0(x1))))) 0#(4(1(x1))) -> 4#(0(3(1(x1)))) TRS: 0(0(1(x1))) -> 0(1(2(0(3(x1))))) 0(0(1(x1))) -> 0(1(2(0(3(2(x1)))))) 0(0(1(x1))) -> 1(2(0(0(3(2(x1)))))) 0(1(0(x1))) -> 2(0(3(1(2(0(x1)))))) 0(4(1(x1))) -> 4(0(3(1(x1)))) 0(4(1(x1))) -> 2(4(0(3(2(1(x1)))))) 0(4(1(x1))) -> 2(4(0(5(3(1(x1)))))) 0(4(1(x1))) -> 4(2(1(2(0(3(x1)))))) 4(1(0(x1))) -> 1(2(0(4(x1)))) 0(0(1(1(x1)))) -> 1(2(0(0(3(1(x1)))))) 0(0(2(1(x1)))) -> 2(2(0(3(0(1(x1)))))) 0(0(4(1(x1)))) -> 1(4(0(3(0(3(x1)))))) 0(0(5(1(x1)))) -> 0(0(3(1(2(5(x1)))))) 0(1(1(0(x1)))) -> 1(2(0(0(1(2(x1)))))) 0(1(4(1(x1)))) -> 0(1(2(4(1(2(x1)))))) 0(1(5(0(x1)))) -> 1(2(5(0(0(3(x1)))))) 0(2(4(1(x1)))) -> 4(0(5(3(1(2(x1)))))) 0(4(1(0(x1)))) -> 0(4(0(1(2(x1))))) 0(4(2(1(x1)))) -> 4(0(3(2(2(1(x1)))))) 0(4(2(1(x1)))) -> 4(0(3(5(1(2(x1)))))) 0(4(4(1(x1)))) -> 2(4(0(3(4(1(x1)))))) 0(5(0(1(x1)))) -> 0(2(0(3(5(1(x1)))))) 0(5(0(1(x1)))) -> 5(2(0(3(0(1(x1)))))) 0(5(1(0(x1)))) -> 0(1(2(0(3(5(x1)))))) 0(5(1(0(x1)))) -> 2(0(1(3(5(0(x1)))))) 4(0(5(1(x1)))) -> 1(4(0(5(3(2(x1)))))) 4(1(0(0(x1)))) -> 0(4(1(2(0(x1))))) 4(1(0(1(x1)))) -> 1(1(2(0(4(x1))))) 4(1(5(0(x1)))) -> 1(2(0(5(4(x1))))) 4(1(5(0(x1)))) -> 1(4(0(3(5(x1))))) 4(3(1(0(x1)))) -> 1(4(2(0(3(x1))))) 4(3(1(0(x1)))) -> 2(0(2(1(3(4(x1)))))) 4(3(1(0(x1)))) -> 2(1(4(2(0(3(x1)))))) 4(3(1(0(x1)))) -> 2(2(4(0(1(3(x1)))))) 5(0(1(0(x1)))) -> 0(3(5(1(2(0(x1)))))) 5(0(1(0(x1)))) -> 1(5(2(0(3(0(x1)))))) 5(4(1(0(x1)))) -> 0(1(2(4(5(2(x1)))))) 0(0(5(5(1(x1))))) -> 1(0(0(3(5(5(x1)))))) 0(1(0(5(0(x1))))) -> 0(1(5(2(0(0(x1)))))) 0(2(5(0(1(x1))))) -> 2(0(3(5(0(1(x1)))))) 0(3(1(0(0(x1))))) -> 0(0(3(0(1(2(x1)))))) 0(4(1(4(1(x1))))) -> 4(4(0(1(2(1(x1)))))) 0(5(5(4(1(x1))))) -> 4(1(0(5(5(3(x1)))))) 4(1(5(0(0(x1))))) -> 1(2(0(4(5(0(x1)))))) 4(1(5(5(0(x1))))) -> 5(1(3(0(5(4(x1)))))) 4(3(1(0(1(x1))))) -> 1(1(2(3(0(4(x1)))))) 4(3(1(1(0(x1))))) -> 1(2(0(1(4(3(x1)))))) 4(3(1(5(0(x1))))) -> 5(1(0(3(2(4(x1)))))) 4(4(1(0(5(x1))))) -> 4(0(5(3(4(1(x1)))))) Arctic Interpretation Processor: dimension: 1 interpretation: [4#](x0) = 2x0, [0#](x0) = x0, [5](x0) = x0, [4](x0) = 2x0, [2](x0) = x0, [3](x0) = x0, [0](x0) = x0, [1](x0) = 1x0 orientation: 4#(4(1(0(5(x1))))) = 5x1 >= 3x1 = 4#(1(x1)) 4#(1(0(0(x1)))) = 3x1 >= 3x1 = 0#(4(1(2(0(x1))))) 0#(4(1(x1))) = 3x1 >= 3x1 = 4#(0(3(1(x1)))) 0(0(1(x1))) = 1x1 >= 1x1 = 0(1(2(0(3(x1))))) 0(0(1(x1))) = 1x1 >= 1x1 = 0(1(2(0(3(2(x1)))))) 0(0(1(x1))) = 1x1 >= 1x1 = 1(2(0(0(3(2(x1)))))) 0(1(0(x1))) = 1x1 >= 1x1 = 2(0(3(1(2(0(x1)))))) 0(4(1(x1))) = 3x1 >= 3x1 = 4(0(3(1(x1)))) 0(4(1(x1))) = 3x1 >= 3x1 = 2(4(0(3(2(1(x1)))))) 0(4(1(x1))) = 3x1 >= 3x1 = 2(4(0(5(3(1(x1)))))) 0(4(1(x1))) = 3x1 >= 3x1 = 4(2(1(2(0(3(x1)))))) 4(1(0(x1))) = 3x1 >= 3x1 = 1(2(0(4(x1)))) 0(0(1(1(x1)))) = 2x1 >= 2x1 = 1(2(0(0(3(1(x1)))))) 0(0(2(1(x1)))) = 1x1 >= 1x1 = 2(2(0(3(0(1(x1)))))) 0(0(4(1(x1)))) = 3x1 >= 3x1 = 1(4(0(3(0(3(x1)))))) 0(0(5(1(x1)))) = 1x1 >= 1x1 = 0(0(3(1(2(5(x1)))))) 0(1(1(0(x1)))) = 2x1 >= 2x1 = 1(2(0(0(1(2(x1)))))) 0(1(4(1(x1)))) = 4x1 >= 4x1 = 0(1(2(4(1(2(x1)))))) 0(1(5(0(x1)))) = 1x1 >= 1x1 = 1(2(5(0(0(3(x1)))))) 0(2(4(1(x1)))) = 3x1 >= 3x1 = 4(0(5(3(1(2(x1)))))) 0(4(1(0(x1)))) = 3x1 >= 3x1 = 0(4(0(1(2(x1))))) 0(4(2(1(x1)))) = 3x1 >= 3x1 = 4(0(3(2(2(1(x1)))))) 0(4(2(1(x1)))) = 3x1 >= 3x1 = 4(0(3(5(1(2(x1)))))) 0(4(4(1(x1)))) = 5x1 >= 5x1 = 2(4(0(3(4(1(x1)))))) 0(5(0(1(x1)))) = 1x1 >= 1x1 = 0(2(0(3(5(1(x1)))))) 0(5(0(1(x1)))) = 1x1 >= 1x1 = 5(2(0(3(0(1(x1)))))) 0(5(1(0(x1)))) = 1x1 >= 1x1 = 0(1(2(0(3(5(x1)))))) 0(5(1(0(x1)))) = 1x1 >= 1x1 = 2(0(1(3(5(0(x1)))))) 4(0(5(1(x1)))) = 3x1 >= 3x1 = 1(4(0(5(3(2(x1)))))) 4(1(0(0(x1)))) = 3x1 >= 3x1 = 0(4(1(2(0(x1))))) 4(1(0(1(x1)))) = 4x1 >= 4x1 = 1(1(2(0(4(x1))))) 4(1(5(0(x1)))) = 3x1 >= 3x1 = 1(2(0(5(4(x1))))) 4(1(5(0(x1)))) = 3x1 >= 3x1 = 1(4(0(3(5(x1))))) 4(3(1(0(x1)))) = 3x1 >= 3x1 = 1(4(2(0(3(x1))))) 4(3(1(0(x1)))) = 3x1 >= 3x1 = 2(0(2(1(3(4(x1)))))) 4(3(1(0(x1)))) = 3x1 >= 3x1 = 2(1(4(2(0(3(x1)))))) 4(3(1(0(x1)))) = 3x1 >= 3x1 = 2(2(4(0(1(3(x1)))))) 5(0(1(0(x1)))) = 1x1 >= 1x1 = 0(3(5(1(2(0(x1)))))) 5(0(1(0(x1)))) = 1x1 >= 1x1 = 1(5(2(0(3(0(x1)))))) 5(4(1(0(x1)))) = 3x1 >= 3x1 = 0(1(2(4(5(2(x1)))))) 0(0(5(5(1(x1))))) = 1x1 >= 1x1 = 1(0(0(3(5(5(x1)))))) 0(1(0(5(0(x1))))) = 1x1 >= 1x1 = 0(1(5(2(0(0(x1)))))) 0(2(5(0(1(x1))))) = 1x1 >= 1x1 = 2(0(3(5(0(1(x1)))))) 0(3(1(0(0(x1))))) = 1x1 >= 1x1 = 0(0(3(0(1(2(x1)))))) 0(4(1(4(1(x1))))) = 6x1 >= 6x1 = 4(4(0(1(2(1(x1)))))) 0(5(5(4(1(x1))))) = 3x1 >= 3x1 = 4(1(0(5(5(3(x1)))))) 4(1(5(0(0(x1))))) = 3x1 >= 3x1 = 1(2(0(4(5(0(x1)))))) 4(1(5(5(0(x1))))) = 3x1 >= 3x1 = 5(1(3(0(5(4(x1)))))) 4(3(1(0(1(x1))))) = 4x1 >= 4x1 = 1(1(2(3(0(4(x1)))))) 4(3(1(1(0(x1))))) = 4x1 >= 4x1 = 1(2(0(1(4(3(x1)))))) 4(3(1(5(0(x1))))) = 3x1 >= 3x1 = 5(1(0(3(2(4(x1)))))) 4(4(1(0(5(x1))))) = 5x1 >= 5x1 = 4(0(5(3(4(1(x1)))))) problem: DPs: 4#(1(0(0(x1)))) -> 0#(4(1(2(0(x1))))) 0#(4(1(x1))) -> 4#(0(3(1(x1)))) TRS: 0(0(1(x1))) -> 0(1(2(0(3(x1))))) 0(0(1(x1))) -> 0(1(2(0(3(2(x1)))))) 0(0(1(x1))) -> 1(2(0(0(3(2(x1)))))) 0(1(0(x1))) -> 2(0(3(1(2(0(x1)))))) 0(4(1(x1))) -> 4(0(3(1(x1)))) 0(4(1(x1))) -> 2(4(0(3(2(1(x1)))))) 0(4(1(x1))) -> 2(4(0(5(3(1(x1)))))) 0(4(1(x1))) -> 4(2(1(2(0(3(x1)))))) 4(1(0(x1))) -> 1(2(0(4(x1)))) 0(0(1(1(x1)))) -> 1(2(0(0(3(1(x1)))))) 0(0(2(1(x1)))) -> 2(2(0(3(0(1(x1)))))) 0(0(4(1(x1)))) -> 1(4(0(3(0(3(x1)))))) 0(0(5(1(x1)))) -> 0(0(3(1(2(5(x1)))))) 0(1(1(0(x1)))) -> 1(2(0(0(1(2(x1)))))) 0(1(4(1(x1)))) -> 0(1(2(4(1(2(x1)))))) 0(1(5(0(x1)))) -> 1(2(5(0(0(3(x1)))))) 0(2(4(1(x1)))) -> 4(0(5(3(1(2(x1)))))) 0(4(1(0(x1)))) -> 0(4(0(1(2(x1))))) 0(4(2(1(x1)))) -> 4(0(3(2(2(1(x1)))))) 0(4(2(1(x1)))) -> 4(0(3(5(1(2(x1)))))) 0(4(4(1(x1)))) -> 2(4(0(3(4(1(x1)))))) 0(5(0(1(x1)))) -> 0(2(0(3(5(1(x1)))))) 0(5(0(1(x1)))) -> 5(2(0(3(0(1(x1)))))) 0(5(1(0(x1)))) -> 0(1(2(0(3(5(x1)))))) 0(5(1(0(x1)))) -> 2(0(1(3(5(0(x1)))))) 4(0(5(1(x1)))) -> 1(4(0(5(3(2(x1)))))) 4(1(0(0(x1)))) -> 0(4(1(2(0(x1))))) 4(1(0(1(x1)))) -> 1(1(2(0(4(x1))))) 4(1(5(0(x1)))) -> 1(2(0(5(4(x1))))) 4(1(5(0(x1)))) -> 1(4(0(3(5(x1))))) 4(3(1(0(x1)))) -> 1(4(2(0(3(x1))))) 4(3(1(0(x1)))) -> 2(0(2(1(3(4(x1)))))) 4(3(1(0(x1)))) -> 2(1(4(2(0(3(x1)))))) 4(3(1(0(x1)))) -> 2(2(4(0(1(3(x1)))))) 5(0(1(0(x1)))) -> 0(3(5(1(2(0(x1)))))) 5(0(1(0(x1)))) -> 1(5(2(0(3(0(x1)))))) 5(4(1(0(x1)))) -> 0(1(2(4(5(2(x1)))))) 0(0(5(5(1(x1))))) -> 1(0(0(3(5(5(x1)))))) 0(1(0(5(0(x1))))) -> 0(1(5(2(0(0(x1)))))) 0(2(5(0(1(x1))))) -> 2(0(3(5(0(1(x1)))))) 0(3(1(0(0(x1))))) -> 0(0(3(0(1(2(x1)))))) 0(4(1(4(1(x1))))) -> 4(4(0(1(2(1(x1)))))) 0(5(5(4(1(x1))))) -> 4(1(0(5(5(3(x1)))))) 4(1(5(0(0(x1))))) -> 1(2(0(4(5(0(x1)))))) 4(1(5(5(0(x1))))) -> 5(1(3(0(5(4(x1)))))) 4(3(1(0(1(x1))))) -> 1(1(2(3(0(4(x1)))))) 4(3(1(1(0(x1))))) -> 1(2(0(1(4(3(x1)))))) 4(3(1(5(0(x1))))) -> 5(1(0(3(2(4(x1)))))) 4(4(1(0(5(x1))))) -> 4(0(5(3(4(1(x1)))))) EDG Processor: DPs: 4#(1(0(0(x1)))) -> 0#(4(1(2(0(x1))))) 0#(4(1(x1))) -> 4#(0(3(1(x1)))) TRS: 0(0(1(x1))) -> 0(1(2(0(3(x1))))) 0(0(1(x1))) -> 0(1(2(0(3(2(x1)))))) 0(0(1(x1))) -> 1(2(0(0(3(2(x1)))))) 0(1(0(x1))) -> 2(0(3(1(2(0(x1)))))) 0(4(1(x1))) -> 4(0(3(1(x1)))) 0(4(1(x1))) -> 2(4(0(3(2(1(x1)))))) 0(4(1(x1))) -> 2(4(0(5(3(1(x1)))))) 0(4(1(x1))) -> 4(2(1(2(0(3(x1)))))) 4(1(0(x1))) -> 1(2(0(4(x1)))) 0(0(1(1(x1)))) -> 1(2(0(0(3(1(x1)))))) 0(0(2(1(x1)))) -> 2(2(0(3(0(1(x1)))))) 0(0(4(1(x1)))) -> 1(4(0(3(0(3(x1)))))) 0(0(5(1(x1)))) -> 0(0(3(1(2(5(x1)))))) 0(1(1(0(x1)))) -> 1(2(0(0(1(2(x1)))))) 0(1(4(1(x1)))) -> 0(1(2(4(1(2(x1)))))) 0(1(5(0(x1)))) -> 1(2(5(0(0(3(x1)))))) 0(2(4(1(x1)))) -> 4(0(5(3(1(2(x1)))))) 0(4(1(0(x1)))) -> 0(4(0(1(2(x1))))) 0(4(2(1(x1)))) -> 4(0(3(2(2(1(x1)))))) 0(4(2(1(x1)))) -> 4(0(3(5(1(2(x1)))))) 0(4(4(1(x1)))) -> 2(4(0(3(4(1(x1)))))) 0(5(0(1(x1)))) -> 0(2(0(3(5(1(x1)))))) 0(5(0(1(x1)))) -> 5(2(0(3(0(1(x1)))))) 0(5(1(0(x1)))) -> 0(1(2(0(3(5(x1)))))) 0(5(1(0(x1)))) -> 2(0(1(3(5(0(x1)))))) 4(0(5(1(x1)))) -> 1(4(0(5(3(2(x1)))))) 4(1(0(0(x1)))) -> 0(4(1(2(0(x1))))) 4(1(0(1(x1)))) -> 1(1(2(0(4(x1))))) 4(1(5(0(x1)))) -> 1(2(0(5(4(x1))))) 4(1(5(0(x1)))) -> 1(4(0(3(5(x1))))) 4(3(1(0(x1)))) -> 1(4(2(0(3(x1))))) 4(3(1(0(x1)))) -> 2(0(2(1(3(4(x1)))))) 4(3(1(0(x1)))) -> 2(1(4(2(0(3(x1)))))) 4(3(1(0(x1)))) -> 2(2(4(0(1(3(x1)))))) 5(0(1(0(x1)))) -> 0(3(5(1(2(0(x1)))))) 5(0(1(0(x1)))) -> 1(5(2(0(3(0(x1)))))) 5(4(1(0(x1)))) -> 0(1(2(4(5(2(x1)))))) 0(0(5(5(1(x1))))) -> 1(0(0(3(5(5(x1)))))) 0(1(0(5(0(x1))))) -> 0(1(5(2(0(0(x1)))))) 0(2(5(0(1(x1))))) -> 2(0(3(5(0(1(x1)))))) 0(3(1(0(0(x1))))) -> 0(0(3(0(1(2(x1)))))) 0(4(1(4(1(x1))))) -> 4(4(0(1(2(1(x1)))))) 0(5(5(4(1(x1))))) -> 4(1(0(5(5(3(x1)))))) 4(1(5(0(0(x1))))) -> 1(2(0(4(5(0(x1)))))) 4(1(5(5(0(x1))))) -> 5(1(3(0(5(4(x1)))))) 4(3(1(0(1(x1))))) -> 1(1(2(3(0(4(x1)))))) 4(3(1(1(0(x1))))) -> 1(2(0(1(4(3(x1)))))) 4(3(1(5(0(x1))))) -> 5(1(0(3(2(4(x1)))))) 4(4(1(0(5(x1))))) -> 4(0(5(3(4(1(x1)))))) graph: 4#(1(0(0(x1)))) -> 0#(4(1(2(0(x1))))) -> 0#(4(1(x1))) -> 4#(0(3(1(x1)))) 0#(4(1(x1))) -> 4#(0(3(1(x1)))) -> 4#(1(0(0(x1)))) -> 0#(4(1(2(0(x1))))) CDG Processor: DPs: 4#(1(0(0(x1)))) -> 0#(4(1(2(0(x1))))) 0#(4(1(x1))) -> 4#(0(3(1(x1)))) TRS: 0(0(1(x1))) -> 0(1(2(0(3(x1))))) 0(0(1(x1))) -> 0(1(2(0(3(2(x1)))))) 0(0(1(x1))) -> 1(2(0(0(3(2(x1)))))) 0(1(0(x1))) -> 2(0(3(1(2(0(x1)))))) 0(4(1(x1))) -> 4(0(3(1(x1)))) 0(4(1(x1))) -> 2(4(0(3(2(1(x1)))))) 0(4(1(x1))) -> 2(4(0(5(3(1(x1)))))) 0(4(1(x1))) -> 4(2(1(2(0(3(x1)))))) 4(1(0(x1))) -> 1(2(0(4(x1)))) 0(0(1(1(x1)))) -> 1(2(0(0(3(1(x1)))))) 0(0(2(1(x1)))) -> 2(2(0(3(0(1(x1)))))) 0(0(4(1(x1)))) -> 1(4(0(3(0(3(x1)))))) 0(0(5(1(x1)))) -> 0(0(3(1(2(5(x1)))))) 0(1(1(0(x1)))) -> 1(2(0(0(1(2(x1)))))) 0(1(4(1(x1)))) -> 0(1(2(4(1(2(x1)))))) 0(1(5(0(x1)))) -> 1(2(5(0(0(3(x1)))))) 0(2(4(1(x1)))) -> 4(0(5(3(1(2(x1)))))) 0(4(1(0(x1)))) -> 0(4(0(1(2(x1))))) 0(4(2(1(x1)))) -> 4(0(3(2(2(1(x1)))))) 0(4(2(1(x1)))) -> 4(0(3(5(1(2(x1)))))) 0(4(4(1(x1)))) -> 2(4(0(3(4(1(x1)))))) 0(5(0(1(x1)))) -> 0(2(0(3(5(1(x1)))))) 0(5(0(1(x1)))) -> 5(2(0(3(0(1(x1)))))) 0(5(1(0(x1)))) -> 0(1(2(0(3(5(x1)))))) 0(5(1(0(x1)))) -> 2(0(1(3(5(0(x1)))))) 4(0(5(1(x1)))) -> 1(4(0(5(3(2(x1)))))) 4(1(0(0(x1)))) -> 0(4(1(2(0(x1))))) 4(1(0(1(x1)))) -> 1(1(2(0(4(x1))))) 4(1(5(0(x1)))) -> 1(2(0(5(4(x1))))) 4(1(5(0(x1)))) -> 1(4(0(3(5(x1))))) 4(3(1(0(x1)))) -> 1(4(2(0(3(x1))))) 4(3(1(0(x1)))) -> 2(0(2(1(3(4(x1)))))) 4(3(1(0(x1)))) -> 2(1(4(2(0(3(x1)))))) 4(3(1(0(x1)))) -> 2(2(4(0(1(3(x1)))))) 5(0(1(0(x1)))) -> 0(3(5(1(2(0(x1)))))) 5(0(1(0(x1)))) -> 1(5(2(0(3(0(x1)))))) 5(4(1(0(x1)))) -> 0(1(2(4(5(2(x1)))))) 0(0(5(5(1(x1))))) -> 1(0(0(3(5(5(x1)))))) 0(1(0(5(0(x1))))) -> 0(1(5(2(0(0(x1)))))) 0(2(5(0(1(x1))))) -> 2(0(3(5(0(1(x1)))))) 0(3(1(0(0(x1))))) -> 0(0(3(0(1(2(x1)))))) 0(4(1(4(1(x1))))) -> 4(4(0(1(2(1(x1)))))) 0(5(5(4(1(x1))))) -> 4(1(0(5(5(3(x1)))))) 4(1(5(0(0(x1))))) -> 1(2(0(4(5(0(x1)))))) 4(1(5(5(0(x1))))) -> 5(1(3(0(5(4(x1)))))) 4(3(1(0(1(x1))))) -> 1(1(2(3(0(4(x1)))))) 4(3(1(1(0(x1))))) -> 1(2(0(1(4(3(x1)))))) 4(3(1(5(0(x1))))) -> 5(1(0(3(2(4(x1)))))) 4(4(1(0(5(x1))))) -> 4(0(5(3(4(1(x1)))))) graph: 4#(1(0(0(x1)))) -> 0#(4(1(2(0(x1))))) -> 0#(4(1(x1))) -> 4#(0(3(1(x1)))) SCC Processor: #sccs: 0 #rules: 0 #arcs: 1/4