YES Problem: 0(0(1(2(x1)))) -> 2(3(1(0(0(x1))))) 0(0(1(2(x1)))) -> 3(1(0(0(2(x1))))) 0(0(1(2(x1)))) -> 0(0(2(3(1(1(x1)))))) 0(1(0(4(x1)))) -> 3(1(4(0(0(x1))))) 0(1(0(4(x1)))) -> 3(4(0(0(3(1(x1)))))) 0(1(0(4(x1)))) -> 4(3(1(0(5(0(x1)))))) 0(1(0(4(x1)))) -> 5(0(4(3(1(0(x1)))))) 0(1(0(5(x1)))) -> 3(5(3(1(0(0(x1)))))) 0(1(0(5(x1)))) -> 5(3(1(0(0(2(x1)))))) 0(1(4(2(x1)))) -> 2(3(1(4(0(x1))))) 0(1(4(2(x1)))) -> 4(0(3(1(2(4(x1)))))) 0(1(4(2(x1)))) -> 4(3(1(1(0(2(x1)))))) 0(5(0(4(x1)))) -> 4(0(0(3(5(x1))))) 0(5(0(4(x1)))) -> 5(0(0(3(4(x1))))) 0(5(0(5(x1)))) -> 3(5(2(0(0(5(x1)))))) 0(5(0(5(x1)))) -> 5(3(5(4(0(0(x1)))))) 0(5(0(5(x1)))) -> 5(5(3(4(0(0(x1)))))) 2(0(1(2(x1)))) -> 0(2(4(1(2(x1))))) 2(0(1(2(x1)))) -> 2(5(0(2(2(1(x1)))))) 2(0(1(2(x1)))) -> 3(1(3(2(2(0(x1)))))) 2(0(4(2(x1)))) -> 4(0(2(2(1(x1))))) 2(0(4(2(x1)))) -> 4(0(2(1(2(1(x1)))))) 2(0(5(2(x1)))) -> 0(2(1(5(2(2(x1)))))) 3(0(4(2(x1)))) -> 0(3(4(1(1(2(x1)))))) 3(0(4(2(x1)))) -> 4(3(3(1(0(2(x1)))))) 0(0(1(2(2(x1))))) -> 0(0(2(1(2(1(x1)))))) 0(0(1(3(2(x1))))) -> 0(3(1(2(0(4(x1)))))) 0(0(1(3(2(x1))))) -> 2(5(0(3(1(0(x1)))))) 0(0(5(2(2(x1))))) -> 0(0(2(5(2(1(x1)))))) 0(1(0(5(2(x1))))) -> 0(2(1(0(3(5(x1)))))) 0(1(0(5(5(x1))))) -> 1(3(5(0(0(5(x1)))))) 0(1(2(0(5(x1))))) -> 4(0(5(2(1(0(x1)))))) 0(1(3(0(4(x1))))) -> 1(0(3(4(4(0(x1)))))) 0(1(3(4(2(x1))))) -> 4(2(1(0(3(4(x1)))))) 0(1(4(2(2(x1))))) -> 1(1(0(2(4(2(x1)))))) 0(1(4(2(4(x1))))) -> 4(0(2(3(1(4(x1)))))) 0(1(4(3(2(x1))))) -> 3(1(2(0(4(4(x1)))))) 0(3(0(0(5(x1))))) -> 5(3(1(0(0(0(x1)))))) 0(4(1(0(4(x1))))) -> 4(0(2(1(4(0(x1)))))) 0(4(3(2(2(x1))))) -> 4(2(0(3(5(2(x1)))))) 0(5(1(0(4(x1))))) -> 5(2(4(1(0(0(x1)))))) 0(5(1(4(2(x1))))) -> 4(0(3(5(1(2(x1)))))) 2(1(0(1(2(x1))))) -> 2(1(1(0(2(3(x1)))))) 2(4(0(5(2(x1))))) -> 0(4(2(3(5(2(x1)))))) 3(0(0(1(2(x1))))) -> 0(3(5(1(0(2(x1)))))) 3(0(0(5(2(x1))))) -> 2(0(0(3(5(1(x1)))))) 3(0(5(4(2(x1))))) -> 4(0(3(5(2(1(x1)))))) 3(2(0(1(2(x1))))) -> 2(1(3(1(0(2(x1)))))) 3(2(0(5(2(x1))))) -> 2(0(2(3(4(5(x1)))))) 3(2(0(5(2(x1))))) -> 5(3(0(2(2(2(x1)))))) Proof: String Reversal Processor: 2(1(0(0(x1)))) -> 0(0(1(3(2(x1))))) 2(1(0(0(x1)))) -> 2(0(0(1(3(x1))))) 2(1(0(0(x1)))) -> 1(1(3(2(0(0(x1)))))) 4(0(1(0(x1)))) -> 0(0(4(1(3(x1))))) 4(0(1(0(x1)))) -> 1(3(0(0(4(3(x1)))))) 4(0(1(0(x1)))) -> 0(5(0(1(3(4(x1)))))) 4(0(1(0(x1)))) -> 0(1(3(4(0(5(x1)))))) 5(0(1(0(x1)))) -> 0(0(1(3(5(3(x1)))))) 5(0(1(0(x1)))) -> 2(0(0(1(3(5(x1)))))) 2(4(1(0(x1)))) -> 0(4(1(3(2(x1))))) 2(4(1(0(x1)))) -> 4(2(1(3(0(4(x1)))))) 2(4(1(0(x1)))) -> 2(0(1(1(3(4(x1)))))) 4(0(5(0(x1)))) -> 5(3(0(0(4(x1))))) 4(0(5(0(x1)))) -> 4(3(0(0(5(x1))))) 5(0(5(0(x1)))) -> 5(0(0(2(5(3(x1)))))) 5(0(5(0(x1)))) -> 0(0(4(5(3(5(x1)))))) 5(0(5(0(x1)))) -> 0(0(4(3(5(5(x1)))))) 2(1(0(2(x1)))) -> 2(1(4(2(0(x1))))) 2(1(0(2(x1)))) -> 1(2(2(0(5(2(x1)))))) 2(1(0(2(x1)))) -> 0(2(2(3(1(3(x1)))))) 2(4(0(2(x1)))) -> 1(2(2(0(4(x1))))) 2(4(0(2(x1)))) -> 1(2(1(2(0(4(x1)))))) 2(5(0(2(x1)))) -> 2(2(5(1(2(0(x1)))))) 2(4(0(3(x1)))) -> 2(1(1(4(3(0(x1)))))) 2(4(0(3(x1)))) -> 2(0(1(3(3(4(x1)))))) 2(2(1(0(0(x1))))) -> 1(2(1(2(0(0(x1)))))) 2(3(1(0(0(x1))))) -> 4(0(2(1(3(0(x1)))))) 2(3(1(0(0(x1))))) -> 0(1(3(0(5(2(x1)))))) 2(2(5(0(0(x1))))) -> 1(2(5(2(0(0(x1)))))) 2(5(0(1(0(x1))))) -> 5(3(0(1(2(0(x1)))))) 5(5(0(1(0(x1))))) -> 5(0(0(5(3(1(x1)))))) 5(0(2(1(0(x1))))) -> 0(1(2(5(0(4(x1)))))) 4(0(3(1(0(x1))))) -> 0(4(4(3(0(1(x1)))))) 2(4(3(1(0(x1))))) -> 4(3(0(1(2(4(x1)))))) 2(2(4(1(0(x1))))) -> 2(4(2(0(1(1(x1)))))) 4(2(4(1(0(x1))))) -> 4(1(3(2(0(4(x1)))))) 2(3(4(1(0(x1))))) -> 4(4(0(2(1(3(x1)))))) 5(0(0(3(0(x1))))) -> 0(0(0(1(3(5(x1)))))) 4(0(1(4(0(x1))))) -> 0(4(1(2(0(4(x1)))))) 2(2(3(4(0(x1))))) -> 2(5(3(0(2(4(x1)))))) 4(0(1(5(0(x1))))) -> 0(0(1(4(2(5(x1)))))) 2(4(1(5(0(x1))))) -> 2(1(5(3(0(4(x1)))))) 2(1(0(1(2(x1))))) -> 3(2(0(1(1(2(x1)))))) 2(5(0(4(2(x1))))) -> 2(5(3(2(4(0(x1)))))) 2(1(0(0(3(x1))))) -> 2(0(1(5(3(0(x1)))))) 2(5(0(0(3(x1))))) -> 1(5(3(0(0(2(x1)))))) 2(4(5(0(3(x1))))) -> 1(2(5(3(0(4(x1)))))) 2(1(0(2(3(x1))))) -> 2(0(1(3(1(2(x1)))))) 2(5(0(2(3(x1))))) -> 5(4(3(2(0(2(x1)))))) 2(5(0(2(3(x1))))) -> 2(2(2(0(3(5(x1)))))) DP Processor: DPs: 2#(1(0(0(x1)))) -> 2#(x1) 2#(1(0(0(x1)))) -> 2#(0(0(1(3(x1))))) 2#(1(0(0(x1)))) -> 2#(0(0(x1))) 4#(0(1(0(x1)))) -> 4#(1(3(x1))) 4#(0(1(0(x1)))) -> 4#(3(x1)) 4#(0(1(0(x1)))) -> 4#(x1) 4#(0(1(0(x1)))) -> 5#(0(1(3(4(x1))))) 4#(0(1(0(x1)))) -> 5#(x1) 4#(0(1(0(x1)))) -> 4#(0(5(x1))) 5#(0(1(0(x1)))) -> 5#(3(x1)) 5#(0(1(0(x1)))) -> 5#(x1) 5#(0(1(0(x1)))) -> 2#(0(0(1(3(5(x1)))))) 2#(4(1(0(x1)))) -> 2#(x1) 2#(4(1(0(x1)))) -> 4#(1(3(2(x1)))) 2#(4(1(0(x1)))) -> 4#(x1) 2#(4(1(0(x1)))) -> 2#(1(3(0(4(x1))))) 2#(4(1(0(x1)))) -> 4#(2(1(3(0(4(x1)))))) 2#(4(1(0(x1)))) -> 2#(0(1(1(3(4(x1)))))) 4#(0(5(0(x1)))) -> 4#(x1) 4#(0(5(0(x1)))) -> 5#(3(0(0(4(x1))))) 4#(0(5(0(x1)))) -> 5#(x1) 4#(0(5(0(x1)))) -> 4#(3(0(0(5(x1))))) 5#(0(5(0(x1)))) -> 5#(3(x1)) 5#(0(5(0(x1)))) -> 2#(5(3(x1))) 5#(0(5(0(x1)))) -> 5#(0(0(2(5(3(x1)))))) 5#(0(5(0(x1)))) -> 5#(x1) 5#(0(5(0(x1)))) -> 5#(3(5(x1))) 5#(0(5(0(x1)))) -> 4#(5(3(5(x1)))) 5#(0(5(0(x1)))) -> 5#(5(x1)) 5#(0(5(0(x1)))) -> 4#(3(5(5(x1)))) 2#(1(0(2(x1)))) -> 2#(0(x1)) 2#(1(0(2(x1)))) -> 4#(2(0(x1))) 2#(1(0(2(x1)))) -> 2#(1(4(2(0(x1))))) 2#(1(0(2(x1)))) -> 5#(2(x1)) 2#(1(0(2(x1)))) -> 2#(0(5(2(x1)))) 2#(1(0(2(x1)))) -> 2#(2(0(5(2(x1))))) 2#(1(0(2(x1)))) -> 2#(3(1(3(x1)))) 2#(1(0(2(x1)))) -> 2#(2(3(1(3(x1))))) 2#(4(0(2(x1)))) -> 4#(x1) 2#(4(0(2(x1)))) -> 2#(0(4(x1))) 2#(4(0(2(x1)))) -> 2#(2(0(4(x1)))) 2#(4(0(2(x1)))) -> 2#(1(2(0(4(x1))))) 2#(5(0(2(x1)))) -> 2#(0(x1)) 2#(5(0(2(x1)))) -> 5#(1(2(0(x1)))) 2#(5(0(2(x1)))) -> 2#(5(1(2(0(x1))))) 2#(5(0(2(x1)))) -> 2#(2(5(1(2(0(x1)))))) 2#(4(0(3(x1)))) -> 4#(3(0(x1))) 2#(4(0(3(x1)))) -> 2#(1(1(4(3(0(x1)))))) 2#(4(0(3(x1)))) -> 4#(x1) 2#(4(0(3(x1)))) -> 2#(0(1(3(3(4(x1)))))) 2#(2(1(0(0(x1))))) -> 2#(0(0(x1))) 2#(2(1(0(0(x1))))) -> 2#(1(2(0(0(x1))))) 2#(3(1(0(0(x1))))) -> 2#(1(3(0(x1)))) 2#(3(1(0(0(x1))))) -> 4#(0(2(1(3(0(x1)))))) 2#(3(1(0(0(x1))))) -> 2#(x1) 2#(3(1(0(0(x1))))) -> 5#(2(x1)) 2#(2(5(0(0(x1))))) -> 2#(0(0(x1))) 2#(2(5(0(0(x1))))) -> 5#(2(0(0(x1)))) 2#(2(5(0(0(x1))))) -> 2#(5(2(0(0(x1))))) 2#(5(0(1(0(x1))))) -> 2#(0(x1)) 2#(5(0(1(0(x1))))) -> 5#(3(0(1(2(0(x1)))))) 5#(5(0(1(0(x1))))) -> 5#(3(1(x1))) 5#(5(0(1(0(x1))))) -> 5#(0(0(5(3(1(x1)))))) 5#(0(2(1(0(x1))))) -> 4#(x1) 5#(0(2(1(0(x1))))) -> 5#(0(4(x1))) 5#(0(2(1(0(x1))))) -> 2#(5(0(4(x1)))) 4#(0(3(1(0(x1))))) -> 4#(3(0(1(x1)))) 4#(0(3(1(0(x1))))) -> 4#(4(3(0(1(x1))))) 2#(4(3(1(0(x1))))) -> 4#(x1) 2#(4(3(1(0(x1))))) -> 2#(4(x1)) 2#(4(3(1(0(x1))))) -> 4#(3(0(1(2(4(x1)))))) 2#(2(4(1(0(x1))))) -> 2#(0(1(1(x1)))) 2#(2(4(1(0(x1))))) -> 4#(2(0(1(1(x1))))) 2#(2(4(1(0(x1))))) -> 2#(4(2(0(1(1(x1)))))) 4#(2(4(1(0(x1))))) -> 4#(x1) 4#(2(4(1(0(x1))))) -> 2#(0(4(x1))) 4#(2(4(1(0(x1))))) -> 4#(1(3(2(0(4(x1)))))) 2#(3(4(1(0(x1))))) -> 2#(1(3(x1))) 2#(3(4(1(0(x1))))) -> 4#(0(2(1(3(x1))))) 2#(3(4(1(0(x1))))) -> 4#(4(0(2(1(3(x1)))))) 5#(0(0(3(0(x1))))) -> 5#(x1) 4#(0(1(4(0(x1))))) -> 4#(x1) 4#(0(1(4(0(x1))))) -> 2#(0(4(x1))) 4#(0(1(4(0(x1))))) -> 4#(1(2(0(4(x1))))) 2#(2(3(4(0(x1))))) -> 4#(x1) 2#(2(3(4(0(x1))))) -> 2#(4(x1)) 2#(2(3(4(0(x1))))) -> 5#(3(0(2(4(x1))))) 2#(2(3(4(0(x1))))) -> 2#(5(3(0(2(4(x1)))))) 4#(0(1(5(0(x1))))) -> 5#(x1) 4#(0(1(5(0(x1))))) -> 2#(5(x1)) 4#(0(1(5(0(x1))))) -> 4#(2(5(x1))) 2#(4(1(5(0(x1))))) -> 4#(x1) 2#(4(1(5(0(x1))))) -> 5#(3(0(4(x1)))) 2#(4(1(5(0(x1))))) -> 2#(1(5(3(0(4(x1)))))) 2#(1(0(1(2(x1))))) -> 2#(0(1(1(2(x1))))) 2#(5(0(4(2(x1))))) -> 4#(0(x1)) 2#(5(0(4(2(x1))))) -> 2#(4(0(x1))) 2#(5(0(4(2(x1))))) -> 5#(3(2(4(0(x1))))) 2#(5(0(4(2(x1))))) -> 2#(5(3(2(4(0(x1)))))) 2#(1(0(0(3(x1))))) -> 5#(3(0(x1))) 2#(1(0(0(3(x1))))) -> 2#(0(1(5(3(0(x1)))))) 2#(5(0(0(3(x1))))) -> 2#(x1) 2#(5(0(0(3(x1))))) -> 5#(3(0(0(2(x1))))) 2#(4(5(0(3(x1))))) -> 4#(x1) 2#(4(5(0(3(x1))))) -> 5#(3(0(4(x1)))) 2#(4(5(0(3(x1))))) -> 2#(5(3(0(4(x1))))) 2#(1(0(2(3(x1))))) -> 2#(x1) 2#(1(0(2(3(x1))))) -> 2#(0(1(3(1(2(x1)))))) 2#(5(0(2(3(x1))))) -> 2#(x1) 2#(5(0(2(3(x1))))) -> 2#(0(2(x1))) 2#(5(0(2(3(x1))))) -> 4#(3(2(0(2(x1))))) 2#(5(0(2(3(x1))))) -> 5#(4(3(2(0(2(x1)))))) 2#(5(0(2(3(x1))))) -> 5#(x1) 2#(5(0(2(3(x1))))) -> 2#(0(3(5(x1)))) 2#(5(0(2(3(x1))))) -> 2#(2(0(3(5(x1))))) 2#(5(0(2(3(x1))))) -> 2#(2(2(0(3(5(x1)))))) TRS: 2(1(0(0(x1)))) -> 0(0(1(3(2(x1))))) 2(1(0(0(x1)))) -> 2(0(0(1(3(x1))))) 2(1(0(0(x1)))) -> 1(1(3(2(0(0(x1)))))) 4(0(1(0(x1)))) -> 0(0(4(1(3(x1))))) 4(0(1(0(x1)))) -> 1(3(0(0(4(3(x1)))))) 4(0(1(0(x1)))) -> 0(5(0(1(3(4(x1)))))) 4(0(1(0(x1)))) -> 0(1(3(4(0(5(x1)))))) 5(0(1(0(x1)))) -> 0(0(1(3(5(3(x1)))))) 5(0(1(0(x1)))) -> 2(0(0(1(3(5(x1)))))) 2(4(1(0(x1)))) -> 0(4(1(3(2(x1))))) 2(4(1(0(x1)))) -> 4(2(1(3(0(4(x1)))))) 2(4(1(0(x1)))) -> 2(0(1(1(3(4(x1)))))) 4(0(5(0(x1)))) -> 5(3(0(0(4(x1))))) 4(0(5(0(x1)))) -> 4(3(0(0(5(x1))))) 5(0(5(0(x1)))) -> 5(0(0(2(5(3(x1)))))) 5(0(5(0(x1)))) -> 0(0(4(5(3(5(x1)))))) 5(0(5(0(x1)))) -> 0(0(4(3(5(5(x1)))))) 2(1(0(2(x1)))) -> 2(1(4(2(0(x1))))) 2(1(0(2(x1)))) -> 1(2(2(0(5(2(x1)))))) 2(1(0(2(x1)))) -> 0(2(2(3(1(3(x1)))))) 2(4(0(2(x1)))) -> 1(2(2(0(4(x1))))) 2(4(0(2(x1)))) -> 1(2(1(2(0(4(x1)))))) 2(5(0(2(x1)))) -> 2(2(5(1(2(0(x1)))))) 2(4(0(3(x1)))) -> 2(1(1(4(3(0(x1)))))) 2(4(0(3(x1)))) -> 2(0(1(3(3(4(x1)))))) 2(2(1(0(0(x1))))) -> 1(2(1(2(0(0(x1)))))) 2(3(1(0(0(x1))))) -> 4(0(2(1(3(0(x1)))))) 2(3(1(0(0(x1))))) -> 0(1(3(0(5(2(x1)))))) 2(2(5(0(0(x1))))) -> 1(2(5(2(0(0(x1)))))) 2(5(0(1(0(x1))))) -> 5(3(0(1(2(0(x1)))))) 5(5(0(1(0(x1))))) -> 5(0(0(5(3(1(x1)))))) 5(0(2(1(0(x1))))) -> 0(1(2(5(0(4(x1)))))) 4(0(3(1(0(x1))))) -> 0(4(4(3(0(1(x1)))))) 2(4(3(1(0(x1))))) -> 4(3(0(1(2(4(x1)))))) 2(2(4(1(0(x1))))) -> 2(4(2(0(1(1(x1)))))) 4(2(4(1(0(x1))))) -> 4(1(3(2(0(4(x1)))))) 2(3(4(1(0(x1))))) -> 4(4(0(2(1(3(x1)))))) 5(0(0(3(0(x1))))) -> 0(0(0(1(3(5(x1)))))) 4(0(1(4(0(x1))))) -> 0(4(1(2(0(4(x1)))))) 2(2(3(4(0(x1))))) -> 2(5(3(0(2(4(x1)))))) 4(0(1(5(0(x1))))) -> 0(0(1(4(2(5(x1)))))) 2(4(1(5(0(x1))))) -> 2(1(5(3(0(4(x1)))))) 2(1(0(1(2(x1))))) -> 3(2(0(1(1(2(x1)))))) 2(5(0(4(2(x1))))) -> 2(5(3(2(4(0(x1)))))) 2(1(0(0(3(x1))))) -> 2(0(1(5(3(0(x1)))))) 2(5(0(0(3(x1))))) -> 1(5(3(0(0(2(x1)))))) 2(4(5(0(3(x1))))) -> 1(2(5(3(0(4(x1)))))) 2(1(0(2(3(x1))))) -> 2(0(1(3(1(2(x1)))))) 2(5(0(2(3(x1))))) -> 5(4(3(2(0(2(x1)))))) 2(5(0(2(3(x1))))) -> 2(2(2(0(3(5(x1)))))) TDG Processor: DPs: 2#(1(0(0(x1)))) -> 2#(x1) 2#(1(0(0(x1)))) -> 2#(0(0(1(3(x1))))) 2#(1(0(0(x1)))) -> 2#(0(0(x1))) 4#(0(1(0(x1)))) -> 4#(1(3(x1))) 4#(0(1(0(x1)))) -> 4#(3(x1)) 4#(0(1(0(x1)))) -> 4#(x1) 4#(0(1(0(x1)))) -> 5#(0(1(3(4(x1))))) 4#(0(1(0(x1)))) -> 5#(x1) 4#(0(1(0(x1)))) -> 4#(0(5(x1))) 5#(0(1(0(x1)))) -> 5#(3(x1)) 5#(0(1(0(x1)))) -> 5#(x1) 5#(0(1(0(x1)))) -> 2#(0(0(1(3(5(x1)))))) 2#(4(1(0(x1)))) -> 2#(x1) 2#(4(1(0(x1)))) -> 4#(1(3(2(x1)))) 2#(4(1(0(x1)))) -> 4#(x1) 2#(4(1(0(x1)))) -> 2#(1(3(0(4(x1))))) 2#(4(1(0(x1)))) -> 4#(2(1(3(0(4(x1)))))) 2#(4(1(0(x1)))) -> 2#(0(1(1(3(4(x1)))))) 4#(0(5(0(x1)))) -> 4#(x1) 4#(0(5(0(x1)))) -> 5#(3(0(0(4(x1))))) 4#(0(5(0(x1)))) -> 5#(x1) 4#(0(5(0(x1)))) -> 4#(3(0(0(5(x1))))) 5#(0(5(0(x1)))) -> 5#(3(x1)) 5#(0(5(0(x1)))) -> 2#(5(3(x1))) 5#(0(5(0(x1)))) -> 5#(0(0(2(5(3(x1)))))) 5#(0(5(0(x1)))) -> 5#(x1) 5#(0(5(0(x1)))) -> 5#(3(5(x1))) 5#(0(5(0(x1)))) -> 4#(5(3(5(x1)))) 5#(0(5(0(x1)))) -> 5#(5(x1)) 5#(0(5(0(x1)))) -> 4#(3(5(5(x1)))) 2#(1(0(2(x1)))) -> 2#(0(x1)) 2#(1(0(2(x1)))) -> 4#(2(0(x1))) 2#(1(0(2(x1)))) -> 2#(1(4(2(0(x1))))) 2#(1(0(2(x1)))) -> 5#(2(x1)) 2#(1(0(2(x1)))) -> 2#(0(5(2(x1)))) 2#(1(0(2(x1)))) -> 2#(2(0(5(2(x1))))) 2#(1(0(2(x1)))) -> 2#(3(1(3(x1)))) 2#(1(0(2(x1)))) -> 2#(2(3(1(3(x1))))) 2#(4(0(2(x1)))) -> 4#(x1) 2#(4(0(2(x1)))) -> 2#(0(4(x1))) 2#(4(0(2(x1)))) -> 2#(2(0(4(x1)))) 2#(4(0(2(x1)))) -> 2#(1(2(0(4(x1))))) 2#(5(0(2(x1)))) -> 2#(0(x1)) 2#(5(0(2(x1)))) -> 5#(1(2(0(x1)))) 2#(5(0(2(x1)))) -> 2#(5(1(2(0(x1))))) 2#(5(0(2(x1)))) -> 2#(2(5(1(2(0(x1)))))) 2#(4(0(3(x1)))) -> 4#(3(0(x1))) 2#(4(0(3(x1)))) -> 2#(1(1(4(3(0(x1)))))) 2#(4(0(3(x1)))) -> 4#(x1) 2#(4(0(3(x1)))) -> 2#(0(1(3(3(4(x1)))))) 2#(2(1(0(0(x1))))) -> 2#(0(0(x1))) 2#(2(1(0(0(x1))))) -> 2#(1(2(0(0(x1))))) 2#(3(1(0(0(x1))))) -> 2#(1(3(0(x1)))) 2#(3(1(0(0(x1))))) -> 4#(0(2(1(3(0(x1)))))) 2#(3(1(0(0(x1))))) -> 2#(x1) 2#(3(1(0(0(x1))))) -> 5#(2(x1)) 2#(2(5(0(0(x1))))) -> 2#(0(0(x1))) 2#(2(5(0(0(x1))))) -> 5#(2(0(0(x1)))) 2#(2(5(0(0(x1))))) -> 2#(5(2(0(0(x1))))) 2#(5(0(1(0(x1))))) -> 2#(0(x1)) 2#(5(0(1(0(x1))))) -> 5#(3(0(1(2(0(x1)))))) 5#(5(0(1(0(x1))))) -> 5#(3(1(x1))) 5#(5(0(1(0(x1))))) -> 5#(0(0(5(3(1(x1)))))) 5#(0(2(1(0(x1))))) -> 4#(x1) 5#(0(2(1(0(x1))))) -> 5#(0(4(x1))) 5#(0(2(1(0(x1))))) -> 2#(5(0(4(x1)))) 4#(0(3(1(0(x1))))) -> 4#(3(0(1(x1)))) 4#(0(3(1(0(x1))))) -> 4#(4(3(0(1(x1))))) 2#(4(3(1(0(x1))))) -> 4#(x1) 2#(4(3(1(0(x1))))) -> 2#(4(x1)) 2#(4(3(1(0(x1))))) -> 4#(3(0(1(2(4(x1)))))) 2#(2(4(1(0(x1))))) -> 2#(0(1(1(x1)))) 2#(2(4(1(0(x1))))) -> 4#(2(0(1(1(x1))))) 2#(2(4(1(0(x1))))) -> 2#(4(2(0(1(1(x1)))))) 4#(2(4(1(0(x1))))) -> 4#(x1) 4#(2(4(1(0(x1))))) -> 2#(0(4(x1))) 4#(2(4(1(0(x1))))) -> 4#(1(3(2(0(4(x1)))))) 2#(3(4(1(0(x1))))) -> 2#(1(3(x1))) 2#(3(4(1(0(x1))))) -> 4#(0(2(1(3(x1))))) 2#(3(4(1(0(x1))))) -> 4#(4(0(2(1(3(x1)))))) 5#(0(0(3(0(x1))))) -> 5#(x1) 4#(0(1(4(0(x1))))) -> 4#(x1) 4#(0(1(4(0(x1))))) -> 2#(0(4(x1))) 4#(0(1(4(0(x1))))) -> 4#(1(2(0(4(x1))))) 2#(2(3(4(0(x1))))) -> 4#(x1) 2#(2(3(4(0(x1))))) -> 2#(4(x1)) 2#(2(3(4(0(x1))))) -> 5#(3(0(2(4(x1))))) 2#(2(3(4(0(x1))))) -> 2#(5(3(0(2(4(x1)))))) 4#(0(1(5(0(x1))))) -> 5#(x1) 4#(0(1(5(0(x1))))) -> 2#(5(x1)) 4#(0(1(5(0(x1))))) -> 4#(2(5(x1))) 2#(4(1(5(0(x1))))) -> 4#(x1) 2#(4(1(5(0(x1))))) -> 5#(3(0(4(x1)))) 2#(4(1(5(0(x1))))) -> 2#(1(5(3(0(4(x1)))))) 2#(1(0(1(2(x1))))) -> 2#(0(1(1(2(x1))))) 2#(5(0(4(2(x1))))) -> 4#(0(x1)) 2#(5(0(4(2(x1))))) -> 2#(4(0(x1))) 2#(5(0(4(2(x1))))) -> 5#(3(2(4(0(x1))))) 2#(5(0(4(2(x1))))) -> 2#(5(3(2(4(0(x1)))))) 2#(1(0(0(3(x1))))) -> 5#(3(0(x1))) 2#(1(0(0(3(x1))))) -> 2#(0(1(5(3(0(x1)))))) 2#(5(0(0(3(x1))))) -> 2#(x1) 2#(5(0(0(3(x1))))) -> 5#(3(0(0(2(x1))))) 2#(4(5(0(3(x1))))) -> 4#(x1) 2#(4(5(0(3(x1))))) -> 5#(3(0(4(x1)))) 2#(4(5(0(3(x1))))) -> 2#(5(3(0(4(x1))))) 2#(1(0(2(3(x1))))) -> 2#(x1) 2#(1(0(2(3(x1))))) -> 2#(0(1(3(1(2(x1)))))) 2#(5(0(2(3(x1))))) -> 2#(x1) 2#(5(0(2(3(x1))))) -> 2#(0(2(x1))) 2#(5(0(2(3(x1))))) -> 4#(3(2(0(2(x1))))) 2#(5(0(2(3(x1))))) -> 5#(4(3(2(0(2(x1)))))) 2#(5(0(2(3(x1))))) -> 5#(x1) 2#(5(0(2(3(x1))))) -> 2#(0(3(5(x1)))) 2#(5(0(2(3(x1))))) -> 2#(2(0(3(5(x1))))) 2#(5(0(2(3(x1))))) -> 2#(2(2(0(3(5(x1)))))) TRS: 2(1(0(0(x1)))) -> 0(0(1(3(2(x1))))) 2(1(0(0(x1)))) -> 2(0(0(1(3(x1))))) 2(1(0(0(x1)))) -> 1(1(3(2(0(0(x1)))))) 4(0(1(0(x1)))) -> 0(0(4(1(3(x1))))) 4(0(1(0(x1)))) -> 1(3(0(0(4(3(x1)))))) 4(0(1(0(x1)))) -> 0(5(0(1(3(4(x1)))))) 4(0(1(0(x1)))) -> 0(1(3(4(0(5(x1)))))) 5(0(1(0(x1)))) -> 0(0(1(3(5(3(x1)))))) 5(0(1(0(x1)))) -> 2(0(0(1(3(5(x1)))))) 2(4(1(0(x1)))) -> 0(4(1(3(2(x1))))) 2(4(1(0(x1)))) -> 4(2(1(3(0(4(x1)))))) 2(4(1(0(x1)))) -> 2(0(1(1(3(4(x1)))))) 4(0(5(0(x1)))) -> 5(3(0(0(4(x1))))) 4(0(5(0(x1)))) -> 4(3(0(0(5(x1))))) 5(0(5(0(x1)))) -> 5(0(0(2(5(3(x1)))))) 5(0(5(0(x1)))) -> 0(0(4(5(3(5(x1)))))) 5(0(5(0(x1)))) -> 0(0(4(3(5(5(x1)))))) 2(1(0(2(x1)))) -> 2(1(4(2(0(x1))))) 2(1(0(2(x1)))) -> 1(2(2(0(5(2(x1)))))) 2(1(0(2(x1)))) -> 0(2(2(3(1(3(x1)))))) 2(4(0(2(x1)))) -> 1(2(2(0(4(x1))))) 2(4(0(2(x1)))) -> 1(2(1(2(0(4(x1)))))) 2(5(0(2(x1)))) -> 2(2(5(1(2(0(x1)))))) 2(4(0(3(x1)))) -> 2(1(1(4(3(0(x1)))))) 2(4(0(3(x1)))) -> 2(0(1(3(3(4(x1)))))) 2(2(1(0(0(x1))))) -> 1(2(1(2(0(0(x1)))))) 2(3(1(0(0(x1))))) -> 4(0(2(1(3(0(x1)))))) 2(3(1(0(0(x1))))) -> 0(1(3(0(5(2(x1)))))) 2(2(5(0(0(x1))))) -> 1(2(5(2(0(0(x1)))))) 2(5(0(1(0(x1))))) -> 5(3(0(1(2(0(x1)))))) 5(5(0(1(0(x1))))) -> 5(0(0(5(3(1(x1)))))) 5(0(2(1(0(x1))))) -> 0(1(2(5(0(4(x1)))))) 4(0(3(1(0(x1))))) -> 0(4(4(3(0(1(x1)))))) 2(4(3(1(0(x1))))) -> 4(3(0(1(2(4(x1)))))) 2(2(4(1(0(x1))))) -> 2(4(2(0(1(1(x1)))))) 4(2(4(1(0(x1))))) -> 4(1(3(2(0(4(x1)))))) 2(3(4(1(0(x1))))) -> 4(4(0(2(1(3(x1)))))) 5(0(0(3(0(x1))))) -> 0(0(0(1(3(5(x1)))))) 4(0(1(4(0(x1))))) -> 0(4(1(2(0(4(x1)))))) 2(2(3(4(0(x1))))) -> 2(5(3(0(2(4(x1)))))) 4(0(1(5(0(x1))))) -> 0(0(1(4(2(5(x1)))))) 2(4(1(5(0(x1))))) -> 2(1(5(3(0(4(x1)))))) 2(1(0(1(2(x1))))) -> 3(2(0(1(1(2(x1)))))) 2(5(0(4(2(x1))))) -> 2(5(3(2(4(0(x1)))))) 2(1(0(0(3(x1))))) -> 2(0(1(5(3(0(x1)))))) 2(5(0(0(3(x1))))) -> 1(5(3(0(0(2(x1)))))) 2(4(5(0(3(x1))))) -> 1(2(5(3(0(4(x1)))))) 2(1(0(2(3(x1))))) -> 2(0(1(3(1(2(x1)))))) 2(5(0(2(3(x1))))) -> 5(4(3(2(0(2(x1)))))) 2(5(0(2(3(x1))))) -> 2(2(2(0(3(5(x1)))))) graph: ... EDG Processor: DPs: 2#(1(0(0(x1)))) -> 2#(x1) 2#(1(0(0(x1)))) -> 2#(0(0(1(3(x1))))) 2#(1(0(0(x1)))) -> 2#(0(0(x1))) 4#(0(1(0(x1)))) -> 4#(1(3(x1))) 4#(0(1(0(x1)))) -> 4#(3(x1)) 4#(0(1(0(x1)))) -> 4#(x1) 4#(0(1(0(x1)))) -> 5#(0(1(3(4(x1))))) 4#(0(1(0(x1)))) -> 5#(x1) 4#(0(1(0(x1)))) -> 4#(0(5(x1))) 5#(0(1(0(x1)))) -> 5#(3(x1)) 5#(0(1(0(x1)))) -> 5#(x1) 5#(0(1(0(x1)))) -> 2#(0(0(1(3(5(x1)))))) 2#(4(1(0(x1)))) -> 2#(x1) 2#(4(1(0(x1)))) -> 4#(1(3(2(x1)))) 2#(4(1(0(x1)))) -> 4#(x1) 2#(4(1(0(x1)))) -> 2#(1(3(0(4(x1))))) 2#(4(1(0(x1)))) -> 4#(2(1(3(0(4(x1)))))) 2#(4(1(0(x1)))) -> 2#(0(1(1(3(4(x1)))))) 4#(0(5(0(x1)))) -> 4#(x1) 4#(0(5(0(x1)))) -> 5#(3(0(0(4(x1))))) 4#(0(5(0(x1)))) -> 5#(x1) 4#(0(5(0(x1)))) -> 4#(3(0(0(5(x1))))) 5#(0(5(0(x1)))) -> 5#(3(x1)) 5#(0(5(0(x1)))) -> 2#(5(3(x1))) 5#(0(5(0(x1)))) -> 5#(0(0(2(5(3(x1)))))) 5#(0(5(0(x1)))) -> 5#(x1) 5#(0(5(0(x1)))) -> 5#(3(5(x1))) 5#(0(5(0(x1)))) -> 4#(5(3(5(x1)))) 5#(0(5(0(x1)))) -> 5#(5(x1)) 5#(0(5(0(x1)))) -> 4#(3(5(5(x1)))) 2#(1(0(2(x1)))) -> 2#(0(x1)) 2#(1(0(2(x1)))) -> 4#(2(0(x1))) 2#(1(0(2(x1)))) -> 2#(1(4(2(0(x1))))) 2#(1(0(2(x1)))) -> 5#(2(x1)) 2#(1(0(2(x1)))) -> 2#(0(5(2(x1)))) 2#(1(0(2(x1)))) -> 2#(2(0(5(2(x1))))) 2#(1(0(2(x1)))) -> 2#(3(1(3(x1)))) 2#(1(0(2(x1)))) -> 2#(2(3(1(3(x1))))) 2#(4(0(2(x1)))) -> 4#(x1) 2#(4(0(2(x1)))) -> 2#(0(4(x1))) 2#(4(0(2(x1)))) -> 2#(2(0(4(x1)))) 2#(4(0(2(x1)))) -> 2#(1(2(0(4(x1))))) 2#(5(0(2(x1)))) -> 2#(0(x1)) 2#(5(0(2(x1)))) -> 5#(1(2(0(x1)))) 2#(5(0(2(x1)))) -> 2#(5(1(2(0(x1))))) 2#(5(0(2(x1)))) -> 2#(2(5(1(2(0(x1)))))) 2#(4(0(3(x1)))) -> 4#(3(0(x1))) 2#(4(0(3(x1)))) -> 2#(1(1(4(3(0(x1)))))) 2#(4(0(3(x1)))) -> 4#(x1) 2#(4(0(3(x1)))) -> 2#(0(1(3(3(4(x1)))))) 2#(2(1(0(0(x1))))) -> 2#(0(0(x1))) 2#(2(1(0(0(x1))))) -> 2#(1(2(0(0(x1))))) 2#(3(1(0(0(x1))))) -> 2#(1(3(0(x1)))) 2#(3(1(0(0(x1))))) -> 4#(0(2(1(3(0(x1)))))) 2#(3(1(0(0(x1))))) -> 2#(x1) 2#(3(1(0(0(x1))))) -> 5#(2(x1)) 2#(2(5(0(0(x1))))) -> 2#(0(0(x1))) 2#(2(5(0(0(x1))))) -> 5#(2(0(0(x1)))) 2#(2(5(0(0(x1))))) -> 2#(5(2(0(0(x1))))) 2#(5(0(1(0(x1))))) -> 2#(0(x1)) 2#(5(0(1(0(x1))))) -> 5#(3(0(1(2(0(x1)))))) 5#(5(0(1(0(x1))))) -> 5#(3(1(x1))) 5#(5(0(1(0(x1))))) -> 5#(0(0(5(3(1(x1)))))) 5#(0(2(1(0(x1))))) -> 4#(x1) 5#(0(2(1(0(x1))))) -> 5#(0(4(x1))) 5#(0(2(1(0(x1))))) -> 2#(5(0(4(x1)))) 4#(0(3(1(0(x1))))) -> 4#(3(0(1(x1)))) 4#(0(3(1(0(x1))))) -> 4#(4(3(0(1(x1))))) 2#(4(3(1(0(x1))))) -> 4#(x1) 2#(4(3(1(0(x1))))) -> 2#(4(x1)) 2#(4(3(1(0(x1))))) -> 4#(3(0(1(2(4(x1)))))) 2#(2(4(1(0(x1))))) -> 2#(0(1(1(x1)))) 2#(2(4(1(0(x1))))) -> 4#(2(0(1(1(x1))))) 2#(2(4(1(0(x1))))) -> 2#(4(2(0(1(1(x1)))))) 4#(2(4(1(0(x1))))) -> 4#(x1) 4#(2(4(1(0(x1))))) -> 2#(0(4(x1))) 4#(2(4(1(0(x1))))) -> 4#(1(3(2(0(4(x1)))))) 2#(3(4(1(0(x1))))) -> 2#(1(3(x1))) 2#(3(4(1(0(x1))))) -> 4#(0(2(1(3(x1))))) 2#(3(4(1(0(x1))))) -> 4#(4(0(2(1(3(x1)))))) 5#(0(0(3(0(x1))))) -> 5#(x1) 4#(0(1(4(0(x1))))) -> 4#(x1) 4#(0(1(4(0(x1))))) -> 2#(0(4(x1))) 4#(0(1(4(0(x1))))) -> 4#(1(2(0(4(x1))))) 2#(2(3(4(0(x1))))) -> 4#(x1) 2#(2(3(4(0(x1))))) -> 2#(4(x1)) 2#(2(3(4(0(x1))))) -> 5#(3(0(2(4(x1))))) 2#(2(3(4(0(x1))))) -> 2#(5(3(0(2(4(x1)))))) 4#(0(1(5(0(x1))))) -> 5#(x1) 4#(0(1(5(0(x1))))) -> 2#(5(x1)) 4#(0(1(5(0(x1))))) -> 4#(2(5(x1))) 2#(4(1(5(0(x1))))) -> 4#(x1) 2#(4(1(5(0(x1))))) -> 5#(3(0(4(x1)))) 2#(4(1(5(0(x1))))) -> 2#(1(5(3(0(4(x1)))))) 2#(1(0(1(2(x1))))) -> 2#(0(1(1(2(x1))))) 2#(5(0(4(2(x1))))) -> 4#(0(x1)) 2#(5(0(4(2(x1))))) -> 2#(4(0(x1))) 2#(5(0(4(2(x1))))) -> 5#(3(2(4(0(x1))))) 2#(5(0(4(2(x1))))) -> 2#(5(3(2(4(0(x1)))))) 2#(1(0(0(3(x1))))) -> 5#(3(0(x1))) 2#(1(0(0(3(x1))))) -> 2#(0(1(5(3(0(x1)))))) 2#(5(0(0(3(x1))))) -> 2#(x1) 2#(5(0(0(3(x1))))) -> 5#(3(0(0(2(x1))))) 2#(4(5(0(3(x1))))) -> 4#(x1) 2#(4(5(0(3(x1))))) -> 5#(3(0(4(x1)))) 2#(4(5(0(3(x1))))) -> 2#(5(3(0(4(x1))))) 2#(1(0(2(3(x1))))) -> 2#(x1) 2#(1(0(2(3(x1))))) -> 2#(0(1(3(1(2(x1)))))) 2#(5(0(2(3(x1))))) -> 2#(x1) 2#(5(0(2(3(x1))))) -> 2#(0(2(x1))) 2#(5(0(2(3(x1))))) -> 4#(3(2(0(2(x1))))) 2#(5(0(2(3(x1))))) -> 5#(4(3(2(0(2(x1)))))) 2#(5(0(2(3(x1))))) -> 5#(x1) 2#(5(0(2(3(x1))))) -> 2#(0(3(5(x1)))) 2#(5(0(2(3(x1))))) -> 2#(2(0(3(5(x1))))) 2#(5(0(2(3(x1))))) -> 2#(2(2(0(3(5(x1)))))) TRS: 2(1(0(0(x1)))) -> 0(0(1(3(2(x1))))) 2(1(0(0(x1)))) -> 2(0(0(1(3(x1))))) 2(1(0(0(x1)))) -> 1(1(3(2(0(0(x1)))))) 4(0(1(0(x1)))) -> 0(0(4(1(3(x1))))) 4(0(1(0(x1)))) -> 1(3(0(0(4(3(x1)))))) 4(0(1(0(x1)))) -> 0(5(0(1(3(4(x1)))))) 4(0(1(0(x1)))) -> 0(1(3(4(0(5(x1)))))) 5(0(1(0(x1)))) -> 0(0(1(3(5(3(x1)))))) 5(0(1(0(x1)))) -> 2(0(0(1(3(5(x1)))))) 2(4(1(0(x1)))) -> 0(4(1(3(2(x1))))) 2(4(1(0(x1)))) -> 4(2(1(3(0(4(x1)))))) 2(4(1(0(x1)))) -> 2(0(1(1(3(4(x1)))))) 4(0(5(0(x1)))) -> 5(3(0(0(4(x1))))) 4(0(5(0(x1)))) -> 4(3(0(0(5(x1))))) 5(0(5(0(x1)))) -> 5(0(0(2(5(3(x1)))))) 5(0(5(0(x1)))) -> 0(0(4(5(3(5(x1)))))) 5(0(5(0(x1)))) -> 0(0(4(3(5(5(x1)))))) 2(1(0(2(x1)))) -> 2(1(4(2(0(x1))))) 2(1(0(2(x1)))) -> 1(2(2(0(5(2(x1)))))) 2(1(0(2(x1)))) -> 0(2(2(3(1(3(x1)))))) 2(4(0(2(x1)))) -> 1(2(2(0(4(x1))))) 2(4(0(2(x1)))) -> 1(2(1(2(0(4(x1)))))) 2(5(0(2(x1)))) -> 2(2(5(1(2(0(x1)))))) 2(4(0(3(x1)))) -> 2(1(1(4(3(0(x1)))))) 2(4(0(3(x1)))) -> 2(0(1(3(3(4(x1)))))) 2(2(1(0(0(x1))))) -> 1(2(1(2(0(0(x1)))))) 2(3(1(0(0(x1))))) -> 4(0(2(1(3(0(x1)))))) 2(3(1(0(0(x1))))) -> 0(1(3(0(5(2(x1)))))) 2(2(5(0(0(x1))))) -> 1(2(5(2(0(0(x1)))))) 2(5(0(1(0(x1))))) -> 5(3(0(1(2(0(x1)))))) 5(5(0(1(0(x1))))) -> 5(0(0(5(3(1(x1)))))) 5(0(2(1(0(x1))))) -> 0(1(2(5(0(4(x1)))))) 4(0(3(1(0(x1))))) -> 0(4(4(3(0(1(x1)))))) 2(4(3(1(0(x1))))) -> 4(3(0(1(2(4(x1)))))) 2(2(4(1(0(x1))))) -> 2(4(2(0(1(1(x1)))))) 4(2(4(1(0(x1))))) -> 4(1(3(2(0(4(x1)))))) 2(3(4(1(0(x1))))) -> 4(4(0(2(1(3(x1)))))) 5(0(0(3(0(x1))))) -> 0(0(0(1(3(5(x1)))))) 4(0(1(4(0(x1))))) -> 0(4(1(2(0(4(x1)))))) 2(2(3(4(0(x1))))) -> 2(5(3(0(2(4(x1)))))) 4(0(1(5(0(x1))))) -> 0(0(1(4(2(5(x1)))))) 2(4(1(5(0(x1))))) -> 2(1(5(3(0(4(x1)))))) 2(1(0(1(2(x1))))) -> 3(2(0(1(1(2(x1)))))) 2(5(0(4(2(x1))))) -> 2(5(3(2(4(0(x1)))))) 2(1(0(0(3(x1))))) -> 2(0(1(5(3(0(x1)))))) 2(5(0(0(3(x1))))) -> 1(5(3(0(0(2(x1)))))) 2(4(5(0(3(x1))))) -> 1(2(5(3(0(4(x1)))))) 2(1(0(2(3(x1))))) -> 2(0(1(3(1(2(x1)))))) 2(5(0(2(3(x1))))) -> 5(4(3(2(0(2(x1)))))) 2(5(0(2(3(x1))))) -> 2(2(2(0(3(5(x1)))))) graph: ... SCC Processor: #sccs: 1 #rules: 37 #arcs: 1352/13456 DPs: 5#(0(5(0(x1)))) -> 5#(5(x1)) 5#(0(0(3(0(x1))))) -> 5#(x1) 5#(0(2(1(0(x1))))) -> 2#(5(0(4(x1)))) 2#(5(0(2(3(x1))))) -> 5#(x1) 5#(0(2(1(0(x1))))) -> 5#(0(4(x1))) 5#(0(2(1(0(x1))))) -> 4#(x1) 4#(0(1(5(0(x1))))) -> 4#(2(5(x1))) 4#(0(1(5(0(x1))))) -> 2#(5(x1)) 2#(5(0(2(3(x1))))) -> 2#(x1) 2#(1(0(2(3(x1))))) -> 2#(x1) 2#(4(5(0(3(x1))))) -> 4#(x1) 4#(0(1(5(0(x1))))) -> 5#(x1) 5#(0(5(0(x1)))) -> 5#(x1) 5#(0(1(0(x1)))) -> 5#(x1) 4#(0(1(4(0(x1))))) -> 4#(x1) 4#(2(4(1(0(x1))))) -> 4#(x1) 4#(0(5(0(x1)))) -> 5#(x1) 4#(0(5(0(x1)))) -> 4#(x1) 4#(0(1(0(x1)))) -> 4#(0(5(x1))) 4#(0(1(0(x1)))) -> 5#(x1) 4#(0(1(0(x1)))) -> 4#(x1) 2#(5(0(0(3(x1))))) -> 2#(x1) 2#(5(0(4(2(x1))))) -> 2#(4(0(x1))) 2#(5(0(4(2(x1))))) -> 4#(0(x1)) 2#(4(1(5(0(x1))))) -> 4#(x1) 2#(2(3(4(0(x1))))) -> 2#(4(x1)) 2#(2(3(4(0(x1))))) -> 4#(x1) 2#(4(3(1(0(x1))))) -> 2#(4(x1)) 2#(4(3(1(0(x1))))) -> 4#(x1) 2#(3(1(0(0(x1))))) -> 5#(2(x1)) 2#(3(1(0(0(x1))))) -> 2#(x1) 2#(4(0(3(x1)))) -> 4#(x1) 2#(4(0(2(x1)))) -> 4#(x1) 2#(1(0(2(x1)))) -> 5#(2(x1)) 2#(4(1(0(x1)))) -> 4#(x1) 2#(4(1(0(x1)))) -> 2#(x1) 2#(1(0(0(x1)))) -> 2#(x1) TRS: 2(1(0(0(x1)))) -> 0(0(1(3(2(x1))))) 2(1(0(0(x1)))) -> 2(0(0(1(3(x1))))) 2(1(0(0(x1)))) -> 1(1(3(2(0(0(x1)))))) 4(0(1(0(x1)))) -> 0(0(4(1(3(x1))))) 4(0(1(0(x1)))) -> 1(3(0(0(4(3(x1)))))) 4(0(1(0(x1)))) -> 0(5(0(1(3(4(x1)))))) 4(0(1(0(x1)))) -> 0(1(3(4(0(5(x1)))))) 5(0(1(0(x1)))) -> 0(0(1(3(5(3(x1)))))) 5(0(1(0(x1)))) -> 2(0(0(1(3(5(x1)))))) 2(4(1(0(x1)))) -> 0(4(1(3(2(x1))))) 2(4(1(0(x1)))) -> 4(2(1(3(0(4(x1)))))) 2(4(1(0(x1)))) -> 2(0(1(1(3(4(x1)))))) 4(0(5(0(x1)))) -> 5(3(0(0(4(x1))))) 4(0(5(0(x1)))) -> 4(3(0(0(5(x1))))) 5(0(5(0(x1)))) -> 5(0(0(2(5(3(x1)))))) 5(0(5(0(x1)))) -> 0(0(4(5(3(5(x1)))))) 5(0(5(0(x1)))) -> 0(0(4(3(5(5(x1)))))) 2(1(0(2(x1)))) -> 2(1(4(2(0(x1))))) 2(1(0(2(x1)))) -> 1(2(2(0(5(2(x1)))))) 2(1(0(2(x1)))) -> 0(2(2(3(1(3(x1)))))) 2(4(0(2(x1)))) -> 1(2(2(0(4(x1))))) 2(4(0(2(x1)))) -> 1(2(1(2(0(4(x1)))))) 2(5(0(2(x1)))) -> 2(2(5(1(2(0(x1)))))) 2(4(0(3(x1)))) -> 2(1(1(4(3(0(x1)))))) 2(4(0(3(x1)))) -> 2(0(1(3(3(4(x1)))))) 2(2(1(0(0(x1))))) -> 1(2(1(2(0(0(x1)))))) 2(3(1(0(0(x1))))) -> 4(0(2(1(3(0(x1)))))) 2(3(1(0(0(x1))))) -> 0(1(3(0(5(2(x1)))))) 2(2(5(0(0(x1))))) -> 1(2(5(2(0(0(x1)))))) 2(5(0(1(0(x1))))) -> 5(3(0(1(2(0(x1)))))) 5(5(0(1(0(x1))))) -> 5(0(0(5(3(1(x1)))))) 5(0(2(1(0(x1))))) -> 0(1(2(5(0(4(x1)))))) 4(0(3(1(0(x1))))) -> 0(4(4(3(0(1(x1)))))) 2(4(3(1(0(x1))))) -> 4(3(0(1(2(4(x1)))))) 2(2(4(1(0(x1))))) -> 2(4(2(0(1(1(x1)))))) 4(2(4(1(0(x1))))) -> 4(1(3(2(0(4(x1)))))) 2(3(4(1(0(x1))))) -> 4(4(0(2(1(3(x1)))))) 5(0(0(3(0(x1))))) -> 0(0(0(1(3(5(x1)))))) 4(0(1(4(0(x1))))) -> 0(4(1(2(0(4(x1)))))) 2(2(3(4(0(x1))))) -> 2(5(3(0(2(4(x1)))))) 4(0(1(5(0(x1))))) -> 0(0(1(4(2(5(x1)))))) 2(4(1(5(0(x1))))) -> 2(1(5(3(0(4(x1)))))) 2(1(0(1(2(x1))))) -> 3(2(0(1(1(2(x1)))))) 2(5(0(4(2(x1))))) -> 2(5(3(2(4(0(x1)))))) 2(1(0(0(3(x1))))) -> 2(0(1(5(3(0(x1)))))) 2(5(0(0(3(x1))))) -> 1(5(3(0(0(2(x1)))))) 2(4(5(0(3(x1))))) -> 1(2(5(3(0(4(x1)))))) 2(1(0(2(3(x1))))) -> 2(0(1(3(1(2(x1)))))) 2(5(0(2(3(x1))))) -> 5(4(3(2(0(2(x1)))))) 2(5(0(2(3(x1))))) -> 2(2(2(0(3(5(x1)))))) Arctic Interpretation Processor: dimension: 1 interpretation: [5#](x0) = x0, [4#](x0) = x0, [2#](x0) = 8x0 + 0, [5](x0) = x0, [4](x0) = x0, [3](x0) = x0, [0](x0) = 8x0 + 0, [1](x0) = x0, [2](x0) = x0 orientation: 5#(0(5(0(x1)))) = 16x1 + 8 >= x1 = 5#(5(x1)) 5#(0(0(3(0(x1))))) = 24x1 + 16 >= x1 = 5#(x1) 5#(0(2(1(0(x1))))) = 16x1 + 8 >= 16x1 + 8 = 2#(5(0(4(x1)))) 2#(5(0(2(3(x1))))) = 16x1 + 8 >= x1 = 5#(x1) 5#(0(2(1(0(x1))))) = 16x1 + 8 >= 8x1 + 0 = 5#(0(4(x1))) 5#(0(2(1(0(x1))))) = 16x1 + 8 >= x1 = 4#(x1) 4#(0(1(5(0(x1))))) = 16x1 + 8 >= x1 = 4#(2(5(x1))) 4#(0(1(5(0(x1))))) = 16x1 + 8 >= 8x1 + 0 = 2#(5(x1)) 2#(5(0(2(3(x1))))) = 16x1 + 8 >= 8x1 + 0 = 2#(x1) 2#(1(0(2(3(x1))))) = 16x1 + 8 >= 8x1 + 0 = 2#(x1) 2#(4(5(0(3(x1))))) = 16x1 + 8 >= x1 = 4#(x1) 4#(0(1(5(0(x1))))) = 16x1 + 8 >= x1 = 5#(x1) 5#(0(5(0(x1)))) = 16x1 + 8 >= x1 = 5#(x1) 5#(0(1(0(x1)))) = 16x1 + 8 >= x1 = 5#(x1) 4#(0(1(4(0(x1))))) = 16x1 + 8 >= x1 = 4#(x1) 4#(2(4(1(0(x1))))) = 8x1 + 0 >= x1 = 4#(x1) 4#(0(5(0(x1)))) = 16x1 + 8 >= x1 = 5#(x1) 4#(0(5(0(x1)))) = 16x1 + 8 >= x1 = 4#(x1) 4#(0(1(0(x1)))) = 16x1 + 8 >= 8x1 + 0 = 4#(0(5(x1))) 4#(0(1(0(x1)))) = 16x1 + 8 >= x1 = 5#(x1) 4#(0(1(0(x1)))) = 16x1 + 8 >= x1 = 4#(x1) 2#(5(0(0(3(x1))))) = 24x1 + 16 >= 8x1 + 0 = 2#(x1) 2#(5(0(4(2(x1))))) = 16x1 + 8 >= 16x1 + 8 = 2#(4(0(x1))) 2#(5(0(4(2(x1))))) = 16x1 + 8 >= 8x1 + 0 = 4#(0(x1)) 2#(4(1(5(0(x1))))) = 16x1 + 8 >= x1 = 4#(x1) 2#(2(3(4(0(x1))))) = 16x1 + 8 >= 8x1 + 0 = 2#(4(x1)) 2#(2(3(4(0(x1))))) = 16x1 + 8 >= x1 = 4#(x1) 2#(4(3(1(0(x1))))) = 16x1 + 8 >= 8x1 + 0 = 2#(4(x1)) 2#(4(3(1(0(x1))))) = 16x1 + 8 >= x1 = 4#(x1) 2#(3(1(0(0(x1))))) = 24x1 + 16 >= x1 = 5#(2(x1)) 2#(3(1(0(0(x1))))) = 24x1 + 16 >= 8x1 + 0 = 2#(x1) 2#(4(0(3(x1)))) = 16x1 + 8 >= x1 = 4#(x1) 2#(4(0(2(x1)))) = 16x1 + 8 >= x1 = 4#(x1) 2#(1(0(2(x1)))) = 16x1 + 8 >= x1 = 5#(2(x1)) 2#(4(1(0(x1)))) = 16x1 + 8 >= x1 = 4#(x1) 2#(4(1(0(x1)))) = 16x1 + 8 >= 8x1 + 0 = 2#(x1) 2#(1(0(0(x1)))) = 24x1 + 16 >= 8x1 + 0 = 2#(x1) 2(1(0(0(x1)))) = 16x1 + 8 >= 16x1 + 8 = 0(0(1(3(2(x1))))) 2(1(0(0(x1)))) = 16x1 + 8 >= 16x1 + 8 = 2(0(0(1(3(x1))))) 2(1(0(0(x1)))) = 16x1 + 8 >= 16x1 + 8 = 1(1(3(2(0(0(x1)))))) 4(0(1(0(x1)))) = 16x1 + 8 >= 16x1 + 8 = 0(0(4(1(3(x1))))) 4(0(1(0(x1)))) = 16x1 + 8 >= 16x1 + 8 = 1(3(0(0(4(3(x1)))))) 4(0(1(0(x1)))) = 16x1 + 8 >= 16x1 + 8 = 0(5(0(1(3(4(x1)))))) 4(0(1(0(x1)))) = 16x1 + 8 >= 16x1 + 8 = 0(1(3(4(0(5(x1)))))) 5(0(1(0(x1)))) = 16x1 + 8 >= 16x1 + 8 = 0(0(1(3(5(3(x1)))))) 5(0(1(0(x1)))) = 16x1 + 8 >= 16x1 + 8 = 2(0(0(1(3(5(x1)))))) 2(4(1(0(x1)))) = 8x1 + 0 >= 8x1 + 0 = 0(4(1(3(2(x1))))) 2(4(1(0(x1)))) = 8x1 + 0 >= 8x1 + 0 = 4(2(1(3(0(4(x1)))))) 2(4(1(0(x1)))) = 8x1 + 0 >= 8x1 + 0 = 2(0(1(1(3(4(x1)))))) 4(0(5(0(x1)))) = 16x1 + 8 >= 16x1 + 8 = 5(3(0(0(4(x1))))) 4(0(5(0(x1)))) = 16x1 + 8 >= 16x1 + 8 = 4(3(0(0(5(x1))))) 5(0(5(0(x1)))) = 16x1 + 8 >= 16x1 + 8 = 5(0(0(2(5(3(x1)))))) 5(0(5(0(x1)))) = 16x1 + 8 >= 16x1 + 8 = 0(0(4(5(3(5(x1)))))) 5(0(5(0(x1)))) = 16x1 + 8 >= 16x1 + 8 = 0(0(4(3(5(5(x1)))))) 2(1(0(2(x1)))) = 8x1 + 0 >= 8x1 + 0 = 2(1(4(2(0(x1))))) 2(1(0(2(x1)))) = 8x1 + 0 >= 8x1 + 0 = 1(2(2(0(5(2(x1)))))) 2(1(0(2(x1)))) = 8x1 + 0 >= 8x1 + 0 = 0(2(2(3(1(3(x1)))))) 2(4(0(2(x1)))) = 8x1 + 0 >= 8x1 + 0 = 1(2(2(0(4(x1))))) 2(4(0(2(x1)))) = 8x1 + 0 >= 8x1 + 0 = 1(2(1(2(0(4(x1)))))) 2(5(0(2(x1)))) = 8x1 + 0 >= 8x1 + 0 = 2(2(5(1(2(0(x1)))))) 2(4(0(3(x1)))) = 8x1 + 0 >= 8x1 + 0 = 2(1(1(4(3(0(x1)))))) 2(4(0(3(x1)))) = 8x1 + 0 >= 8x1 + 0 = 2(0(1(3(3(4(x1)))))) 2(2(1(0(0(x1))))) = 16x1 + 8 >= 16x1 + 8 = 1(2(1(2(0(0(x1)))))) 2(3(1(0(0(x1))))) = 16x1 + 8 >= 16x1 + 8 = 4(0(2(1(3(0(x1)))))) 2(3(1(0(0(x1))))) = 16x1 + 8 >= 16x1 + 8 = 0(1(3(0(5(2(x1)))))) 2(2(5(0(0(x1))))) = 16x1 + 8 >= 16x1 + 8 = 1(2(5(2(0(0(x1)))))) 2(5(0(1(0(x1))))) = 16x1 + 8 >= 16x1 + 8 = 5(3(0(1(2(0(x1)))))) 5(5(0(1(0(x1))))) = 16x1 + 8 >= 16x1 + 8 = 5(0(0(5(3(1(x1)))))) 5(0(2(1(0(x1))))) = 16x1 + 8 >= 16x1 + 8 = 0(1(2(5(0(4(x1)))))) 4(0(3(1(0(x1))))) = 16x1 + 8 >= 16x1 + 8 = 0(4(4(3(0(1(x1)))))) 2(4(3(1(0(x1))))) = 8x1 + 0 >= 8x1 + 0 = 4(3(0(1(2(4(x1)))))) 2(2(4(1(0(x1))))) = 8x1 + 0 >= 8x1 + 0 = 2(4(2(0(1(1(x1)))))) 4(2(4(1(0(x1))))) = 8x1 + 0 >= 8x1 + 0 = 4(1(3(2(0(4(x1)))))) 2(3(4(1(0(x1))))) = 8x1 + 0 >= 8x1 + 0 = 4(4(0(2(1(3(x1)))))) 5(0(0(3(0(x1))))) = 24x1 + 16 >= 24x1 + 16 = 0(0(0(1(3(5(x1)))))) 4(0(1(4(0(x1))))) = 16x1 + 8 >= 16x1 + 8 = 0(4(1(2(0(4(x1)))))) 2(2(3(4(0(x1))))) = 8x1 + 0 >= 8x1 + 0 = 2(5(3(0(2(4(x1)))))) 4(0(1(5(0(x1))))) = 16x1 + 8 >= 16x1 + 8 = 0(0(1(4(2(5(x1)))))) 2(4(1(5(0(x1))))) = 8x1 + 0 >= 8x1 + 0 = 2(1(5(3(0(4(x1)))))) 2(1(0(1(2(x1))))) = 8x1 + 0 >= 8x1 + 0 = 3(2(0(1(1(2(x1)))))) 2(5(0(4(2(x1))))) = 8x1 + 0 >= 8x1 + 0 = 2(5(3(2(4(0(x1)))))) 2(1(0(0(3(x1))))) = 16x1 + 8 >= 16x1 + 8 = 2(0(1(5(3(0(x1)))))) 2(5(0(0(3(x1))))) = 16x1 + 8 >= 16x1 + 8 = 1(5(3(0(0(2(x1)))))) 2(4(5(0(3(x1))))) = 8x1 + 0 >= 8x1 + 0 = 1(2(5(3(0(4(x1)))))) 2(1(0(2(3(x1))))) = 8x1 + 0 >= 8x1 + 0 = 2(0(1(3(1(2(x1)))))) 2(5(0(2(3(x1))))) = 8x1 + 0 >= 8x1 + 0 = 5(4(3(2(0(2(x1)))))) 2(5(0(2(3(x1))))) = 8x1 + 0 >= 8x1 + 0 = 2(2(2(0(3(5(x1)))))) problem: DPs: 5#(0(2(1(0(x1))))) -> 2#(5(0(4(x1)))) 2#(5(0(4(2(x1))))) -> 2#(4(0(x1))) TRS: 2(1(0(0(x1)))) -> 0(0(1(3(2(x1))))) 2(1(0(0(x1)))) -> 2(0(0(1(3(x1))))) 2(1(0(0(x1)))) -> 1(1(3(2(0(0(x1)))))) 4(0(1(0(x1)))) -> 0(0(4(1(3(x1))))) 4(0(1(0(x1)))) -> 1(3(0(0(4(3(x1)))))) 4(0(1(0(x1)))) -> 0(5(0(1(3(4(x1)))))) 4(0(1(0(x1)))) -> 0(1(3(4(0(5(x1)))))) 5(0(1(0(x1)))) -> 0(0(1(3(5(3(x1)))))) 5(0(1(0(x1)))) -> 2(0(0(1(3(5(x1)))))) 2(4(1(0(x1)))) -> 0(4(1(3(2(x1))))) 2(4(1(0(x1)))) -> 4(2(1(3(0(4(x1)))))) 2(4(1(0(x1)))) -> 2(0(1(1(3(4(x1)))))) 4(0(5(0(x1)))) -> 5(3(0(0(4(x1))))) 4(0(5(0(x1)))) -> 4(3(0(0(5(x1))))) 5(0(5(0(x1)))) -> 5(0(0(2(5(3(x1)))))) 5(0(5(0(x1)))) -> 0(0(4(5(3(5(x1)))))) 5(0(5(0(x1)))) -> 0(0(4(3(5(5(x1)))))) 2(1(0(2(x1)))) -> 2(1(4(2(0(x1))))) 2(1(0(2(x1)))) -> 1(2(2(0(5(2(x1)))))) 2(1(0(2(x1)))) -> 0(2(2(3(1(3(x1)))))) 2(4(0(2(x1)))) -> 1(2(2(0(4(x1))))) 2(4(0(2(x1)))) -> 1(2(1(2(0(4(x1)))))) 2(5(0(2(x1)))) -> 2(2(5(1(2(0(x1)))))) 2(4(0(3(x1)))) -> 2(1(1(4(3(0(x1)))))) 2(4(0(3(x1)))) -> 2(0(1(3(3(4(x1)))))) 2(2(1(0(0(x1))))) -> 1(2(1(2(0(0(x1)))))) 2(3(1(0(0(x1))))) -> 4(0(2(1(3(0(x1)))))) 2(3(1(0(0(x1))))) -> 0(1(3(0(5(2(x1)))))) 2(2(5(0(0(x1))))) -> 1(2(5(2(0(0(x1)))))) 2(5(0(1(0(x1))))) -> 5(3(0(1(2(0(x1)))))) 5(5(0(1(0(x1))))) -> 5(0(0(5(3(1(x1)))))) 5(0(2(1(0(x1))))) -> 0(1(2(5(0(4(x1)))))) 4(0(3(1(0(x1))))) -> 0(4(4(3(0(1(x1)))))) 2(4(3(1(0(x1))))) -> 4(3(0(1(2(4(x1)))))) 2(2(4(1(0(x1))))) -> 2(4(2(0(1(1(x1)))))) 4(2(4(1(0(x1))))) -> 4(1(3(2(0(4(x1)))))) 2(3(4(1(0(x1))))) -> 4(4(0(2(1(3(x1)))))) 5(0(0(3(0(x1))))) -> 0(0(0(1(3(5(x1)))))) 4(0(1(4(0(x1))))) -> 0(4(1(2(0(4(x1)))))) 2(2(3(4(0(x1))))) -> 2(5(3(0(2(4(x1)))))) 4(0(1(5(0(x1))))) -> 0(0(1(4(2(5(x1)))))) 2(4(1(5(0(x1))))) -> 2(1(5(3(0(4(x1)))))) 2(1(0(1(2(x1))))) -> 3(2(0(1(1(2(x1)))))) 2(5(0(4(2(x1))))) -> 2(5(3(2(4(0(x1)))))) 2(1(0(0(3(x1))))) -> 2(0(1(5(3(0(x1)))))) 2(5(0(0(3(x1))))) -> 1(5(3(0(0(2(x1)))))) 2(4(5(0(3(x1))))) -> 1(2(5(3(0(4(x1)))))) 2(1(0(2(3(x1))))) -> 2(0(1(3(1(2(x1)))))) 2(5(0(2(3(x1))))) -> 5(4(3(2(0(2(x1)))))) 2(5(0(2(3(x1))))) -> 2(2(2(0(3(5(x1)))))) EDG Processor: DPs: 5#(0(2(1(0(x1))))) -> 2#(5(0(4(x1)))) 2#(5(0(4(2(x1))))) -> 2#(4(0(x1))) TRS: 2(1(0(0(x1)))) -> 0(0(1(3(2(x1))))) 2(1(0(0(x1)))) -> 2(0(0(1(3(x1))))) 2(1(0(0(x1)))) -> 1(1(3(2(0(0(x1)))))) 4(0(1(0(x1)))) -> 0(0(4(1(3(x1))))) 4(0(1(0(x1)))) -> 1(3(0(0(4(3(x1)))))) 4(0(1(0(x1)))) -> 0(5(0(1(3(4(x1)))))) 4(0(1(0(x1)))) -> 0(1(3(4(0(5(x1)))))) 5(0(1(0(x1)))) -> 0(0(1(3(5(3(x1)))))) 5(0(1(0(x1)))) -> 2(0(0(1(3(5(x1)))))) 2(4(1(0(x1)))) -> 0(4(1(3(2(x1))))) 2(4(1(0(x1)))) -> 4(2(1(3(0(4(x1)))))) 2(4(1(0(x1)))) -> 2(0(1(1(3(4(x1)))))) 4(0(5(0(x1)))) -> 5(3(0(0(4(x1))))) 4(0(5(0(x1)))) -> 4(3(0(0(5(x1))))) 5(0(5(0(x1)))) -> 5(0(0(2(5(3(x1)))))) 5(0(5(0(x1)))) -> 0(0(4(5(3(5(x1)))))) 5(0(5(0(x1)))) -> 0(0(4(3(5(5(x1)))))) 2(1(0(2(x1)))) -> 2(1(4(2(0(x1))))) 2(1(0(2(x1)))) -> 1(2(2(0(5(2(x1)))))) 2(1(0(2(x1)))) -> 0(2(2(3(1(3(x1)))))) 2(4(0(2(x1)))) -> 1(2(2(0(4(x1))))) 2(4(0(2(x1)))) -> 1(2(1(2(0(4(x1)))))) 2(5(0(2(x1)))) -> 2(2(5(1(2(0(x1)))))) 2(4(0(3(x1)))) -> 2(1(1(4(3(0(x1)))))) 2(4(0(3(x1)))) -> 2(0(1(3(3(4(x1)))))) 2(2(1(0(0(x1))))) -> 1(2(1(2(0(0(x1)))))) 2(3(1(0(0(x1))))) -> 4(0(2(1(3(0(x1)))))) 2(3(1(0(0(x1))))) -> 0(1(3(0(5(2(x1)))))) 2(2(5(0(0(x1))))) -> 1(2(5(2(0(0(x1)))))) 2(5(0(1(0(x1))))) -> 5(3(0(1(2(0(x1)))))) 5(5(0(1(0(x1))))) -> 5(0(0(5(3(1(x1)))))) 5(0(2(1(0(x1))))) -> 0(1(2(5(0(4(x1)))))) 4(0(3(1(0(x1))))) -> 0(4(4(3(0(1(x1)))))) 2(4(3(1(0(x1))))) -> 4(3(0(1(2(4(x1)))))) 2(2(4(1(0(x1))))) -> 2(4(2(0(1(1(x1)))))) 4(2(4(1(0(x1))))) -> 4(1(3(2(0(4(x1)))))) 2(3(4(1(0(x1))))) -> 4(4(0(2(1(3(x1)))))) 5(0(0(3(0(x1))))) -> 0(0(0(1(3(5(x1)))))) 4(0(1(4(0(x1))))) -> 0(4(1(2(0(4(x1)))))) 2(2(3(4(0(x1))))) -> 2(5(3(0(2(4(x1)))))) 4(0(1(5(0(x1))))) -> 0(0(1(4(2(5(x1)))))) 2(4(1(5(0(x1))))) -> 2(1(5(3(0(4(x1)))))) 2(1(0(1(2(x1))))) -> 3(2(0(1(1(2(x1)))))) 2(5(0(4(2(x1))))) -> 2(5(3(2(4(0(x1)))))) 2(1(0(0(3(x1))))) -> 2(0(1(5(3(0(x1)))))) 2(5(0(0(3(x1))))) -> 1(5(3(0(0(2(x1)))))) 2(4(5(0(3(x1))))) -> 1(2(5(3(0(4(x1)))))) 2(1(0(2(3(x1))))) -> 2(0(1(3(1(2(x1)))))) 2(5(0(2(3(x1))))) -> 5(4(3(2(0(2(x1)))))) 2(5(0(2(3(x1))))) -> 2(2(2(0(3(5(x1)))))) graph: 5#(0(2(1(0(x1))))) -> 2#(5(0(4(x1)))) -> 2#(5(0(4(2(x1))))) -> 2#(4(0(x1))) 2#(5(0(4(2(x1))))) -> 2#(4(0(x1))) -> 2#(5(0(4(2(x1))))) -> 2#(4(0(x1))) SCC Processor: #sccs: 1 #rules: 1 #arcs: 2/4 DPs: 2#(5(0(4(2(x1))))) -> 2#(4(0(x1))) TRS: 2(1(0(0(x1)))) -> 0(0(1(3(2(x1))))) 2(1(0(0(x1)))) -> 2(0(0(1(3(x1))))) 2(1(0(0(x1)))) -> 1(1(3(2(0(0(x1)))))) 4(0(1(0(x1)))) -> 0(0(4(1(3(x1))))) 4(0(1(0(x1)))) -> 1(3(0(0(4(3(x1)))))) 4(0(1(0(x1)))) -> 0(5(0(1(3(4(x1)))))) 4(0(1(0(x1)))) -> 0(1(3(4(0(5(x1)))))) 5(0(1(0(x1)))) -> 0(0(1(3(5(3(x1)))))) 5(0(1(0(x1)))) -> 2(0(0(1(3(5(x1)))))) 2(4(1(0(x1)))) -> 0(4(1(3(2(x1))))) 2(4(1(0(x1)))) -> 4(2(1(3(0(4(x1)))))) 2(4(1(0(x1)))) -> 2(0(1(1(3(4(x1)))))) 4(0(5(0(x1)))) -> 5(3(0(0(4(x1))))) 4(0(5(0(x1)))) -> 4(3(0(0(5(x1))))) 5(0(5(0(x1)))) -> 5(0(0(2(5(3(x1)))))) 5(0(5(0(x1)))) -> 0(0(4(5(3(5(x1)))))) 5(0(5(0(x1)))) -> 0(0(4(3(5(5(x1)))))) 2(1(0(2(x1)))) -> 2(1(4(2(0(x1))))) 2(1(0(2(x1)))) -> 1(2(2(0(5(2(x1)))))) 2(1(0(2(x1)))) -> 0(2(2(3(1(3(x1)))))) 2(4(0(2(x1)))) -> 1(2(2(0(4(x1))))) 2(4(0(2(x1)))) -> 1(2(1(2(0(4(x1)))))) 2(5(0(2(x1)))) -> 2(2(5(1(2(0(x1)))))) 2(4(0(3(x1)))) -> 2(1(1(4(3(0(x1)))))) 2(4(0(3(x1)))) -> 2(0(1(3(3(4(x1)))))) 2(2(1(0(0(x1))))) -> 1(2(1(2(0(0(x1)))))) 2(3(1(0(0(x1))))) -> 4(0(2(1(3(0(x1)))))) 2(3(1(0(0(x1))))) -> 0(1(3(0(5(2(x1)))))) 2(2(5(0(0(x1))))) -> 1(2(5(2(0(0(x1)))))) 2(5(0(1(0(x1))))) -> 5(3(0(1(2(0(x1)))))) 5(5(0(1(0(x1))))) -> 5(0(0(5(3(1(x1)))))) 5(0(2(1(0(x1))))) -> 0(1(2(5(0(4(x1)))))) 4(0(3(1(0(x1))))) -> 0(4(4(3(0(1(x1)))))) 2(4(3(1(0(x1))))) -> 4(3(0(1(2(4(x1)))))) 2(2(4(1(0(x1))))) -> 2(4(2(0(1(1(x1)))))) 4(2(4(1(0(x1))))) -> 4(1(3(2(0(4(x1)))))) 2(3(4(1(0(x1))))) -> 4(4(0(2(1(3(x1)))))) 5(0(0(3(0(x1))))) -> 0(0(0(1(3(5(x1)))))) 4(0(1(4(0(x1))))) -> 0(4(1(2(0(4(x1)))))) 2(2(3(4(0(x1))))) -> 2(5(3(0(2(4(x1)))))) 4(0(1(5(0(x1))))) -> 0(0(1(4(2(5(x1)))))) 2(4(1(5(0(x1))))) -> 2(1(5(3(0(4(x1)))))) 2(1(0(1(2(x1))))) -> 3(2(0(1(1(2(x1)))))) 2(5(0(4(2(x1))))) -> 2(5(3(2(4(0(x1)))))) 2(1(0(0(3(x1))))) -> 2(0(1(5(3(0(x1)))))) 2(5(0(0(3(x1))))) -> 1(5(3(0(0(2(x1)))))) 2(4(5(0(3(x1))))) -> 1(2(5(3(0(4(x1)))))) 2(1(0(2(3(x1))))) -> 2(0(1(3(1(2(x1)))))) 2(5(0(2(3(x1))))) -> 5(4(3(2(0(2(x1)))))) 2(5(0(2(3(x1))))) -> 2(2(2(0(3(5(x1)))))) Arctic Interpretation Processor: dimension: 1 interpretation: [2#](x0) = x0 + 0, [5](x0) = 1x0 + 0, [4](x0) = x0 + 0, [3](x0) = 7, [0](x0) = 8, [1](x0) = x0 + 8, [2](x0) = x0 + 8 orientation: 2#(5(0(4(2(x1))))) = 9 >= 8 = 2#(4(0(x1))) 2(1(0(0(x1)))) = 8 >= 8 = 0(0(1(3(2(x1))))) 2(1(0(0(x1)))) = 8 >= 8 = 2(0(0(1(3(x1))))) 2(1(0(0(x1)))) = 8 >= 8 = 1(1(3(2(0(0(x1)))))) 4(0(1(0(x1)))) = 8 >= 8 = 0(0(4(1(3(x1))))) 4(0(1(0(x1)))) = 8 >= 8 = 1(3(0(0(4(3(x1)))))) 4(0(1(0(x1)))) = 8 >= 8 = 0(5(0(1(3(4(x1)))))) 4(0(1(0(x1)))) = 8 >= 8 = 0(1(3(4(0(5(x1)))))) 5(0(1(0(x1)))) = 9 >= 8 = 0(0(1(3(5(3(x1)))))) 5(0(1(0(x1)))) = 9 >= 8 = 2(0(0(1(3(5(x1)))))) 2(4(1(0(x1)))) = 8 >= 8 = 0(4(1(3(2(x1))))) 2(4(1(0(x1)))) = 8 >= 8 = 4(2(1(3(0(4(x1)))))) 2(4(1(0(x1)))) = 8 >= 8 = 2(0(1(1(3(4(x1)))))) 4(0(5(0(x1)))) = 8 >= 8 = 5(3(0(0(4(x1))))) 4(0(5(0(x1)))) = 8 >= 7 = 4(3(0(0(5(x1))))) 5(0(5(0(x1)))) = 9 >= 9 = 5(0(0(2(5(3(x1)))))) 5(0(5(0(x1)))) = 9 >= 8 = 0(0(4(5(3(5(x1)))))) 5(0(5(0(x1)))) = 9 >= 8 = 0(0(4(3(5(5(x1)))))) 2(1(0(2(x1)))) = 8 >= 8 = 2(1(4(2(0(x1))))) 2(1(0(2(x1)))) = 8 >= 8 = 1(2(2(0(5(2(x1)))))) 2(1(0(2(x1)))) = 8 >= 8 = 0(2(2(3(1(3(x1)))))) 2(4(0(2(x1)))) = 8 >= 8 = 1(2(2(0(4(x1))))) 2(4(0(2(x1)))) = 8 >= 8 = 1(2(1(2(0(4(x1)))))) 2(5(0(2(x1)))) = 9 >= 9 = 2(2(5(1(2(0(x1)))))) 2(4(0(3(x1)))) = 8 >= 8 = 2(1(1(4(3(0(x1)))))) 2(4(0(3(x1)))) = 8 >= 8 = 2(0(1(3(3(4(x1)))))) 2(2(1(0(0(x1))))) = 8 >= 8 = 1(2(1(2(0(0(x1)))))) 2(3(1(0(0(x1))))) = 8 >= 8 = 4(0(2(1(3(0(x1)))))) 2(3(1(0(0(x1))))) = 8 >= 8 = 0(1(3(0(5(2(x1)))))) 2(2(5(0(0(x1))))) = 9 >= 9 = 1(2(5(2(0(0(x1)))))) 2(5(0(1(0(x1))))) = 9 >= 8 = 5(3(0(1(2(0(x1)))))) 5(5(0(1(0(x1))))) = 10 >= 9 = 5(0(0(5(3(1(x1)))))) 5(0(2(1(0(x1))))) = 9 >= 8 = 0(1(2(5(0(4(x1)))))) 4(0(3(1(0(x1))))) = 8 >= 8 = 0(4(4(3(0(1(x1)))))) 2(4(3(1(0(x1))))) = 8 >= 7 = 4(3(0(1(2(4(x1)))))) 2(2(4(1(0(x1))))) = 8 >= 8 = 2(4(2(0(1(1(x1)))))) 4(2(4(1(0(x1))))) = 8 >= 8 = 4(1(3(2(0(4(x1)))))) 2(3(4(1(0(x1))))) = 8 >= 8 = 4(4(0(2(1(3(x1)))))) 5(0(0(3(0(x1))))) = 9 >= 8 = 0(0(0(1(3(5(x1)))))) 4(0(1(4(0(x1))))) = 8 >= 8 = 0(4(1(2(0(4(x1)))))) 2(2(3(4(0(x1))))) = 8 >= 8 = 2(5(3(0(2(4(x1)))))) 4(0(1(5(0(x1))))) = 8 >= 8 = 0(0(1(4(2(5(x1)))))) 2(4(1(5(0(x1))))) = 9 >= 8 = 2(1(5(3(0(4(x1)))))) 2(1(0(1(2(x1))))) = 8 >= 7 = 3(2(0(1(1(2(x1)))))) 2(5(0(4(2(x1))))) = 9 >= 8 = 2(5(3(2(4(0(x1)))))) 2(1(0(0(3(x1))))) = 8 >= 8 = 2(0(1(5(3(0(x1)))))) 2(5(0(0(3(x1))))) = 9 >= 8 = 1(5(3(0(0(2(x1)))))) 2(4(5(0(3(x1))))) = 9 >= 8 = 1(2(5(3(0(4(x1)))))) 2(1(0(2(3(x1))))) = 8 >= 8 = 2(0(1(3(1(2(x1)))))) 2(5(0(2(3(x1))))) = 9 >= 8 = 5(4(3(2(0(2(x1)))))) 2(5(0(2(3(x1))))) = 9 >= 8 = 2(2(2(0(3(5(x1)))))) problem: DPs: TRS: 2(1(0(0(x1)))) -> 0(0(1(3(2(x1))))) 2(1(0(0(x1)))) -> 2(0(0(1(3(x1))))) 2(1(0(0(x1)))) -> 1(1(3(2(0(0(x1)))))) 4(0(1(0(x1)))) -> 0(0(4(1(3(x1))))) 4(0(1(0(x1)))) -> 1(3(0(0(4(3(x1)))))) 4(0(1(0(x1)))) -> 0(5(0(1(3(4(x1)))))) 4(0(1(0(x1)))) -> 0(1(3(4(0(5(x1)))))) 5(0(1(0(x1)))) -> 0(0(1(3(5(3(x1)))))) 5(0(1(0(x1)))) -> 2(0(0(1(3(5(x1)))))) 2(4(1(0(x1)))) -> 0(4(1(3(2(x1))))) 2(4(1(0(x1)))) -> 4(2(1(3(0(4(x1)))))) 2(4(1(0(x1)))) -> 2(0(1(1(3(4(x1)))))) 4(0(5(0(x1)))) -> 5(3(0(0(4(x1))))) 4(0(5(0(x1)))) -> 4(3(0(0(5(x1))))) 5(0(5(0(x1)))) -> 5(0(0(2(5(3(x1)))))) 5(0(5(0(x1)))) -> 0(0(4(5(3(5(x1)))))) 5(0(5(0(x1)))) -> 0(0(4(3(5(5(x1)))))) 2(1(0(2(x1)))) -> 2(1(4(2(0(x1))))) 2(1(0(2(x1)))) -> 1(2(2(0(5(2(x1)))))) 2(1(0(2(x1)))) -> 0(2(2(3(1(3(x1)))))) 2(4(0(2(x1)))) -> 1(2(2(0(4(x1))))) 2(4(0(2(x1)))) -> 1(2(1(2(0(4(x1)))))) 2(5(0(2(x1)))) -> 2(2(5(1(2(0(x1)))))) 2(4(0(3(x1)))) -> 2(1(1(4(3(0(x1)))))) 2(4(0(3(x1)))) -> 2(0(1(3(3(4(x1)))))) 2(2(1(0(0(x1))))) -> 1(2(1(2(0(0(x1)))))) 2(3(1(0(0(x1))))) -> 4(0(2(1(3(0(x1)))))) 2(3(1(0(0(x1))))) -> 0(1(3(0(5(2(x1)))))) 2(2(5(0(0(x1))))) -> 1(2(5(2(0(0(x1)))))) 2(5(0(1(0(x1))))) -> 5(3(0(1(2(0(x1)))))) 5(5(0(1(0(x1))))) -> 5(0(0(5(3(1(x1)))))) 5(0(2(1(0(x1))))) -> 0(1(2(5(0(4(x1)))))) 4(0(3(1(0(x1))))) -> 0(4(4(3(0(1(x1)))))) 2(4(3(1(0(x1))))) -> 4(3(0(1(2(4(x1)))))) 2(2(4(1(0(x1))))) -> 2(4(2(0(1(1(x1)))))) 4(2(4(1(0(x1))))) -> 4(1(3(2(0(4(x1)))))) 2(3(4(1(0(x1))))) -> 4(4(0(2(1(3(x1)))))) 5(0(0(3(0(x1))))) -> 0(0(0(1(3(5(x1)))))) 4(0(1(4(0(x1))))) -> 0(4(1(2(0(4(x1)))))) 2(2(3(4(0(x1))))) -> 2(5(3(0(2(4(x1)))))) 4(0(1(5(0(x1))))) -> 0(0(1(4(2(5(x1)))))) 2(4(1(5(0(x1))))) -> 2(1(5(3(0(4(x1)))))) 2(1(0(1(2(x1))))) -> 3(2(0(1(1(2(x1)))))) 2(5(0(4(2(x1))))) -> 2(5(3(2(4(0(x1)))))) 2(1(0(0(3(x1))))) -> 2(0(1(5(3(0(x1)))))) 2(5(0(0(3(x1))))) -> 1(5(3(0(0(2(x1)))))) 2(4(5(0(3(x1))))) -> 1(2(5(3(0(4(x1)))))) 2(1(0(2(3(x1))))) -> 2(0(1(3(1(2(x1)))))) 2(5(0(2(3(x1))))) -> 5(4(3(2(0(2(x1)))))) 2(5(0(2(3(x1))))) -> 2(2(2(0(3(5(x1)))))) Qed