YES Problem: 0(1(2(x1))) -> 0(0(2(1(x1)))) 0(1(2(x1))) -> 0(2(1(3(x1)))) 0(1(2(x1))) -> 0(0(2(1(4(4(x1)))))) 0(3(1(x1))) -> 0(1(3(4(0(x1))))) 0(3(1(x1))) -> 0(1(3(4(4(x1))))) 0(3(1(x1))) -> 1(3(4(4(4(0(x1)))))) 0(3(2(x1))) -> 0(2(1(3(x1)))) 0(3(2(x1))) -> 0(2(3(4(x1)))) 0(3(2(x1))) -> 0(0(2(4(3(x1))))) 0(3(2(x1))) -> 0(2(1(4(3(x1))))) 0(3(2(x1))) -> 0(2(4(3(3(x1))))) 0(3(2(x1))) -> 0(2(1(3(3(4(x1)))))) 0(3(2(x1))) -> 0(2(3(4(5(5(x1)))))) 0(3(2(x1))) -> 2(4(4(3(4(0(x1)))))) 0(4(1(x1))) -> 0(1(4(4(x1)))) 0(4(1(x1))) -> 0(2(1(4(x1)))) 0(4(2(x1))) -> 0(2(1(4(x1)))) 0(4(2(x1))) -> 0(2(3(4(x1)))) 0(4(2(x1))) -> 0(2(4(3(x1)))) 2(0(1(x1))) -> 5(0(2(1(x1)))) 2(3(1(x1))) -> 1(3(5(2(x1)))) 2(3(1(x1))) -> 0(2(1(3(5(x1))))) 2(3(1(x1))) -> 1(4(3(5(2(x1))))) 0(2(0(1(x1)))) -> 5(0(0(2(1(x1))))) 0(3(1(1(x1)))) -> 0(1(4(1(3(4(x1)))))) 0(3(2(1(x1)))) -> 0(0(3(4(2(1(x1)))))) 0(3(2(2(x1)))) -> 1(3(4(0(2(2(x1)))))) 0(4(1(2(x1)))) -> 1(4(0(2(5(x1))))) 0(4(3(2(x1)))) -> 2(3(4(4(0(0(x1)))))) 0(5(3(1(x1)))) -> 0(1(4(3(5(4(x1)))))) 0(5(3(1(x1)))) -> 0(1(5(3(4(0(x1)))))) 0(5(3(2(x1)))) -> 0(2(4(5(3(x1))))) 0(5(3(2(x1)))) -> 0(2(5(3(3(x1))))) 2(0(3(1(x1)))) -> 2(0(1(3(5(2(x1)))))) 2(0(4(1(x1)))) -> 2(0(1(4(5(x1))))) 2(5(3(2(x1)))) -> 2(5(2(3(3(x1))))) 2(5(4(2(x1)))) -> 0(2(5(2(4(x1))))) 0(0(3(2(1(x1))))) -> 0(0(1(3(5(2(x1)))))) 0(1(0(3(2(x1))))) -> 0(1(4(3(2(0(x1)))))) 0(1(0(3(2(x1))))) -> 2(3(1(0(0(5(x1)))))) 0(3(2(5(1(x1))))) -> 0(2(5(1(3(3(x1)))))) 0(5(1(1(2(x1))))) -> 0(2(4(1(1(5(x1)))))) 0(5(1(2(2(x1))))) -> 0(2(5(2(1(2(x1)))))) 0(5(3(2(1(x1))))) -> 0(1(3(4(2(5(x1)))))) 0(5(5(3(2(x1))))) -> 0(2(5(1(3(5(x1)))))) 2(0(3(1(1(x1))))) -> 2(1(0(1(3(4(x1)))))) 2(2(0(3(1(x1))))) -> 1(3(0(2(5(2(x1)))))) 2(2(0(5(1(x1))))) -> 2(0(2(1(5(1(x1)))))) 2(5(5(4(1(x1))))) -> 5(5(2(1(3(4(x1)))))) Proof: DP Processor: DPs: 0#(1(2(x1))) -> 2#(1(x1)) 0#(1(2(x1))) -> 0#(2(1(x1))) 0#(1(2(x1))) -> 0#(0(2(1(x1)))) 0#(1(2(x1))) -> 2#(1(3(x1))) 0#(1(2(x1))) -> 0#(2(1(3(x1)))) 0#(1(2(x1))) -> 2#(1(4(4(x1)))) 0#(1(2(x1))) -> 0#(2(1(4(4(x1))))) 0#(1(2(x1))) -> 0#(0(2(1(4(4(x1)))))) 0#(3(1(x1))) -> 0#(x1) 0#(3(1(x1))) -> 0#(1(3(4(0(x1))))) 0#(3(1(x1))) -> 0#(1(3(4(4(x1))))) 0#(3(2(x1))) -> 2#(1(3(x1))) 0#(3(2(x1))) -> 0#(2(1(3(x1)))) 0#(3(2(x1))) -> 2#(3(4(x1))) 0#(3(2(x1))) -> 0#(2(3(4(x1)))) 0#(3(2(x1))) -> 2#(4(3(x1))) 0#(3(2(x1))) -> 0#(2(4(3(x1)))) 0#(3(2(x1))) -> 0#(0(2(4(3(x1))))) 0#(3(2(x1))) -> 2#(1(4(3(x1)))) 0#(3(2(x1))) -> 0#(2(1(4(3(x1))))) 0#(3(2(x1))) -> 2#(4(3(3(x1)))) 0#(3(2(x1))) -> 0#(2(4(3(3(x1))))) 0#(3(2(x1))) -> 2#(1(3(3(4(x1))))) 0#(3(2(x1))) -> 0#(2(1(3(3(4(x1)))))) 0#(3(2(x1))) -> 2#(3(4(5(5(x1))))) 0#(3(2(x1))) -> 0#(2(3(4(5(5(x1)))))) 0#(3(2(x1))) -> 0#(x1) 0#(3(2(x1))) -> 2#(4(4(3(4(0(x1)))))) 0#(4(1(x1))) -> 0#(1(4(4(x1)))) 0#(4(1(x1))) -> 2#(1(4(x1))) 0#(4(1(x1))) -> 0#(2(1(4(x1)))) 0#(4(2(x1))) -> 2#(1(4(x1))) 0#(4(2(x1))) -> 0#(2(1(4(x1)))) 0#(4(2(x1))) -> 2#(3(4(x1))) 0#(4(2(x1))) -> 0#(2(3(4(x1)))) 0#(4(2(x1))) -> 2#(4(3(x1))) 0#(4(2(x1))) -> 0#(2(4(3(x1)))) 2#(0(1(x1))) -> 2#(1(x1)) 2#(0(1(x1))) -> 0#(2(1(x1))) 2#(3(1(x1))) -> 2#(x1) 2#(3(1(x1))) -> 2#(1(3(5(x1)))) 2#(3(1(x1))) -> 0#(2(1(3(5(x1))))) 0#(2(0(1(x1)))) -> 2#(1(x1)) 0#(2(0(1(x1)))) -> 0#(2(1(x1))) 0#(2(0(1(x1)))) -> 0#(0(2(1(x1)))) 0#(3(1(1(x1)))) -> 0#(1(4(1(3(4(x1)))))) 0#(3(2(1(x1)))) -> 0#(3(4(2(1(x1))))) 0#(3(2(1(x1)))) -> 0#(0(3(4(2(1(x1)))))) 0#(3(2(2(x1)))) -> 0#(2(2(x1))) 0#(4(1(2(x1)))) -> 2#(5(x1)) 0#(4(1(2(x1)))) -> 0#(2(5(x1))) 0#(4(3(2(x1)))) -> 0#(x1) 0#(4(3(2(x1)))) -> 0#(0(x1)) 0#(4(3(2(x1)))) -> 2#(3(4(4(0(0(x1)))))) 0#(5(3(1(x1)))) -> 0#(1(4(3(5(4(x1)))))) 0#(5(3(1(x1)))) -> 0#(x1) 0#(5(3(1(x1)))) -> 0#(1(5(3(4(0(x1)))))) 0#(5(3(2(x1)))) -> 2#(4(5(3(x1)))) 0#(5(3(2(x1)))) -> 0#(2(4(5(3(x1))))) 0#(5(3(2(x1)))) -> 2#(5(3(3(x1)))) 0#(5(3(2(x1)))) -> 0#(2(5(3(3(x1))))) 2#(0(3(1(x1)))) -> 2#(x1) 2#(0(3(1(x1)))) -> 0#(1(3(5(2(x1))))) 2#(0(3(1(x1)))) -> 2#(0(1(3(5(2(x1)))))) 2#(0(4(1(x1)))) -> 0#(1(4(5(x1)))) 2#(0(4(1(x1)))) -> 2#(0(1(4(5(x1))))) 2#(5(3(2(x1)))) -> 2#(3(3(x1))) 2#(5(3(2(x1)))) -> 2#(5(2(3(3(x1))))) 2#(5(4(2(x1)))) -> 2#(4(x1)) 2#(5(4(2(x1)))) -> 2#(5(2(4(x1)))) 2#(5(4(2(x1)))) -> 0#(2(5(2(4(x1))))) 0#(0(3(2(1(x1))))) -> 2#(x1) 0#(0(3(2(1(x1))))) -> 0#(1(3(5(2(x1))))) 0#(0(3(2(1(x1))))) -> 0#(0(1(3(5(2(x1)))))) 0#(1(0(3(2(x1))))) -> 0#(x1) 0#(1(0(3(2(x1))))) -> 2#(0(x1)) 0#(1(0(3(2(x1))))) -> 0#(1(4(3(2(0(x1)))))) 0#(1(0(3(2(x1))))) -> 0#(5(x1)) 0#(1(0(3(2(x1))))) -> 0#(0(5(x1))) 0#(1(0(3(2(x1))))) -> 2#(3(1(0(0(5(x1)))))) 0#(3(2(5(1(x1))))) -> 2#(5(1(3(3(x1))))) 0#(3(2(5(1(x1))))) -> 0#(2(5(1(3(3(x1)))))) 0#(5(1(1(2(x1))))) -> 2#(4(1(1(5(x1))))) 0#(5(1(1(2(x1))))) -> 0#(2(4(1(1(5(x1)))))) 0#(5(1(2(2(x1))))) -> 2#(1(2(x1))) 0#(5(1(2(2(x1))))) -> 2#(5(2(1(2(x1))))) 0#(5(1(2(2(x1))))) -> 0#(2(5(2(1(2(x1)))))) 0#(5(3(2(1(x1))))) -> 2#(5(x1)) 0#(5(3(2(1(x1))))) -> 0#(1(3(4(2(5(x1)))))) 0#(5(5(3(2(x1))))) -> 2#(5(1(3(5(x1))))) 0#(5(5(3(2(x1))))) -> 0#(2(5(1(3(5(x1)))))) 2#(0(3(1(1(x1))))) -> 0#(1(3(4(x1)))) 2#(0(3(1(1(x1))))) -> 2#(1(0(1(3(4(x1)))))) 2#(2(0(3(1(x1))))) -> 2#(x1) 2#(2(0(3(1(x1))))) -> 2#(5(2(x1))) 2#(2(0(3(1(x1))))) -> 0#(2(5(2(x1)))) 2#(2(0(5(1(x1))))) -> 2#(1(5(1(x1)))) 2#(2(0(5(1(x1))))) -> 0#(2(1(5(1(x1))))) 2#(2(0(5(1(x1))))) -> 2#(0(2(1(5(1(x1)))))) 2#(5(5(4(1(x1))))) -> 2#(1(3(4(x1)))) TRS: 0(1(2(x1))) -> 0(0(2(1(x1)))) 0(1(2(x1))) -> 0(2(1(3(x1)))) 0(1(2(x1))) -> 0(0(2(1(4(4(x1)))))) 0(3(1(x1))) -> 0(1(3(4(0(x1))))) 0(3(1(x1))) -> 0(1(3(4(4(x1))))) 0(3(1(x1))) -> 1(3(4(4(4(0(x1)))))) 0(3(2(x1))) -> 0(2(1(3(x1)))) 0(3(2(x1))) -> 0(2(3(4(x1)))) 0(3(2(x1))) -> 0(0(2(4(3(x1))))) 0(3(2(x1))) -> 0(2(1(4(3(x1))))) 0(3(2(x1))) -> 0(2(4(3(3(x1))))) 0(3(2(x1))) -> 0(2(1(3(3(4(x1)))))) 0(3(2(x1))) -> 0(2(3(4(5(5(x1)))))) 0(3(2(x1))) -> 2(4(4(3(4(0(x1)))))) 0(4(1(x1))) -> 0(1(4(4(x1)))) 0(4(1(x1))) -> 0(2(1(4(x1)))) 0(4(2(x1))) -> 0(2(1(4(x1)))) 0(4(2(x1))) -> 0(2(3(4(x1)))) 0(4(2(x1))) -> 0(2(4(3(x1)))) 2(0(1(x1))) -> 5(0(2(1(x1)))) 2(3(1(x1))) -> 1(3(5(2(x1)))) 2(3(1(x1))) -> 0(2(1(3(5(x1))))) 2(3(1(x1))) -> 1(4(3(5(2(x1))))) 0(2(0(1(x1)))) -> 5(0(0(2(1(x1))))) 0(3(1(1(x1)))) -> 0(1(4(1(3(4(x1)))))) 0(3(2(1(x1)))) -> 0(0(3(4(2(1(x1)))))) 0(3(2(2(x1)))) -> 1(3(4(0(2(2(x1)))))) 0(4(1(2(x1)))) -> 1(4(0(2(5(x1))))) 0(4(3(2(x1)))) -> 2(3(4(4(0(0(x1)))))) 0(5(3(1(x1)))) -> 0(1(4(3(5(4(x1)))))) 0(5(3(1(x1)))) -> 0(1(5(3(4(0(x1)))))) 0(5(3(2(x1)))) -> 0(2(4(5(3(x1))))) 0(5(3(2(x1)))) -> 0(2(5(3(3(x1))))) 2(0(3(1(x1)))) -> 2(0(1(3(5(2(x1)))))) 2(0(4(1(x1)))) -> 2(0(1(4(5(x1))))) 2(5(3(2(x1)))) -> 2(5(2(3(3(x1))))) 2(5(4(2(x1)))) -> 0(2(5(2(4(x1))))) 0(0(3(2(1(x1))))) -> 0(0(1(3(5(2(x1)))))) 0(1(0(3(2(x1))))) -> 0(1(4(3(2(0(x1)))))) 0(1(0(3(2(x1))))) -> 2(3(1(0(0(5(x1)))))) 0(3(2(5(1(x1))))) -> 0(2(5(1(3(3(x1)))))) 0(5(1(1(2(x1))))) -> 0(2(4(1(1(5(x1)))))) 0(5(1(2(2(x1))))) -> 0(2(5(2(1(2(x1)))))) 0(5(3(2(1(x1))))) -> 0(1(3(4(2(5(x1)))))) 0(5(5(3(2(x1))))) -> 0(2(5(1(3(5(x1)))))) 2(0(3(1(1(x1))))) -> 2(1(0(1(3(4(x1)))))) 2(2(0(3(1(x1))))) -> 1(3(0(2(5(2(x1)))))) 2(2(0(5(1(x1))))) -> 2(0(2(1(5(1(x1)))))) 2(5(5(4(1(x1))))) -> 5(5(2(1(3(4(x1)))))) TDG Processor: DPs: 0#(1(2(x1))) -> 2#(1(x1)) 0#(1(2(x1))) -> 0#(2(1(x1))) 0#(1(2(x1))) -> 0#(0(2(1(x1)))) 0#(1(2(x1))) -> 2#(1(3(x1))) 0#(1(2(x1))) -> 0#(2(1(3(x1)))) 0#(1(2(x1))) -> 2#(1(4(4(x1)))) 0#(1(2(x1))) -> 0#(2(1(4(4(x1))))) 0#(1(2(x1))) -> 0#(0(2(1(4(4(x1)))))) 0#(3(1(x1))) -> 0#(x1) 0#(3(1(x1))) -> 0#(1(3(4(0(x1))))) 0#(3(1(x1))) -> 0#(1(3(4(4(x1))))) 0#(3(2(x1))) -> 2#(1(3(x1))) 0#(3(2(x1))) -> 0#(2(1(3(x1)))) 0#(3(2(x1))) -> 2#(3(4(x1))) 0#(3(2(x1))) -> 0#(2(3(4(x1)))) 0#(3(2(x1))) -> 2#(4(3(x1))) 0#(3(2(x1))) -> 0#(2(4(3(x1)))) 0#(3(2(x1))) -> 0#(0(2(4(3(x1))))) 0#(3(2(x1))) -> 2#(1(4(3(x1)))) 0#(3(2(x1))) -> 0#(2(1(4(3(x1))))) 0#(3(2(x1))) -> 2#(4(3(3(x1)))) 0#(3(2(x1))) -> 0#(2(4(3(3(x1))))) 0#(3(2(x1))) -> 2#(1(3(3(4(x1))))) 0#(3(2(x1))) -> 0#(2(1(3(3(4(x1)))))) 0#(3(2(x1))) -> 2#(3(4(5(5(x1))))) 0#(3(2(x1))) -> 0#(2(3(4(5(5(x1)))))) 0#(3(2(x1))) -> 0#(x1) 0#(3(2(x1))) -> 2#(4(4(3(4(0(x1)))))) 0#(4(1(x1))) -> 0#(1(4(4(x1)))) 0#(4(1(x1))) -> 2#(1(4(x1))) 0#(4(1(x1))) -> 0#(2(1(4(x1)))) 0#(4(2(x1))) -> 2#(1(4(x1))) 0#(4(2(x1))) -> 0#(2(1(4(x1)))) 0#(4(2(x1))) -> 2#(3(4(x1))) 0#(4(2(x1))) -> 0#(2(3(4(x1)))) 0#(4(2(x1))) -> 2#(4(3(x1))) 0#(4(2(x1))) -> 0#(2(4(3(x1)))) 2#(0(1(x1))) -> 2#(1(x1)) 2#(0(1(x1))) -> 0#(2(1(x1))) 2#(3(1(x1))) -> 2#(x1) 2#(3(1(x1))) -> 2#(1(3(5(x1)))) 2#(3(1(x1))) -> 0#(2(1(3(5(x1))))) 0#(2(0(1(x1)))) -> 2#(1(x1)) 0#(2(0(1(x1)))) -> 0#(2(1(x1))) 0#(2(0(1(x1)))) -> 0#(0(2(1(x1)))) 0#(3(1(1(x1)))) -> 0#(1(4(1(3(4(x1)))))) 0#(3(2(1(x1)))) -> 0#(3(4(2(1(x1))))) 0#(3(2(1(x1)))) -> 0#(0(3(4(2(1(x1)))))) 0#(3(2(2(x1)))) -> 0#(2(2(x1))) 0#(4(1(2(x1)))) -> 2#(5(x1)) 0#(4(1(2(x1)))) -> 0#(2(5(x1))) 0#(4(3(2(x1)))) -> 0#(x1) 0#(4(3(2(x1)))) -> 0#(0(x1)) 0#(4(3(2(x1)))) -> 2#(3(4(4(0(0(x1)))))) 0#(5(3(1(x1)))) -> 0#(1(4(3(5(4(x1)))))) 0#(5(3(1(x1)))) -> 0#(x1) 0#(5(3(1(x1)))) -> 0#(1(5(3(4(0(x1)))))) 0#(5(3(2(x1)))) -> 2#(4(5(3(x1)))) 0#(5(3(2(x1)))) -> 0#(2(4(5(3(x1))))) 0#(5(3(2(x1)))) -> 2#(5(3(3(x1)))) 0#(5(3(2(x1)))) -> 0#(2(5(3(3(x1))))) 2#(0(3(1(x1)))) -> 2#(x1) 2#(0(3(1(x1)))) -> 0#(1(3(5(2(x1))))) 2#(0(3(1(x1)))) -> 2#(0(1(3(5(2(x1)))))) 2#(0(4(1(x1)))) -> 0#(1(4(5(x1)))) 2#(0(4(1(x1)))) -> 2#(0(1(4(5(x1))))) 2#(5(3(2(x1)))) -> 2#(3(3(x1))) 2#(5(3(2(x1)))) -> 2#(5(2(3(3(x1))))) 2#(5(4(2(x1)))) -> 2#(4(x1)) 2#(5(4(2(x1)))) -> 2#(5(2(4(x1)))) 2#(5(4(2(x1)))) -> 0#(2(5(2(4(x1))))) 0#(0(3(2(1(x1))))) -> 2#(x1) 0#(0(3(2(1(x1))))) -> 0#(1(3(5(2(x1))))) 0#(0(3(2(1(x1))))) -> 0#(0(1(3(5(2(x1)))))) 0#(1(0(3(2(x1))))) -> 0#(x1) 0#(1(0(3(2(x1))))) -> 2#(0(x1)) 0#(1(0(3(2(x1))))) -> 0#(1(4(3(2(0(x1)))))) 0#(1(0(3(2(x1))))) -> 0#(5(x1)) 0#(1(0(3(2(x1))))) -> 0#(0(5(x1))) 0#(1(0(3(2(x1))))) -> 2#(3(1(0(0(5(x1)))))) 0#(3(2(5(1(x1))))) -> 2#(5(1(3(3(x1))))) 0#(3(2(5(1(x1))))) -> 0#(2(5(1(3(3(x1)))))) 0#(5(1(1(2(x1))))) -> 2#(4(1(1(5(x1))))) 0#(5(1(1(2(x1))))) -> 0#(2(4(1(1(5(x1)))))) 0#(5(1(2(2(x1))))) -> 2#(1(2(x1))) 0#(5(1(2(2(x1))))) -> 2#(5(2(1(2(x1))))) 0#(5(1(2(2(x1))))) -> 0#(2(5(2(1(2(x1)))))) 0#(5(3(2(1(x1))))) -> 2#(5(x1)) 0#(5(3(2(1(x1))))) -> 0#(1(3(4(2(5(x1)))))) 0#(5(5(3(2(x1))))) -> 2#(5(1(3(5(x1))))) 0#(5(5(3(2(x1))))) -> 0#(2(5(1(3(5(x1)))))) 2#(0(3(1(1(x1))))) -> 0#(1(3(4(x1)))) 2#(0(3(1(1(x1))))) -> 2#(1(0(1(3(4(x1)))))) 2#(2(0(3(1(x1))))) -> 2#(x1) 2#(2(0(3(1(x1))))) -> 2#(5(2(x1))) 2#(2(0(3(1(x1))))) -> 0#(2(5(2(x1)))) 2#(2(0(5(1(x1))))) -> 2#(1(5(1(x1)))) 2#(2(0(5(1(x1))))) -> 0#(2(1(5(1(x1))))) 2#(2(0(5(1(x1))))) -> 2#(0(2(1(5(1(x1)))))) 2#(5(5(4(1(x1))))) -> 2#(1(3(4(x1)))) TRS: 0(1(2(x1))) -> 0(0(2(1(x1)))) 0(1(2(x1))) -> 0(2(1(3(x1)))) 0(1(2(x1))) -> 0(0(2(1(4(4(x1)))))) 0(3(1(x1))) -> 0(1(3(4(0(x1))))) 0(3(1(x1))) -> 0(1(3(4(4(x1))))) 0(3(1(x1))) -> 1(3(4(4(4(0(x1)))))) 0(3(2(x1))) -> 0(2(1(3(x1)))) 0(3(2(x1))) -> 0(2(3(4(x1)))) 0(3(2(x1))) -> 0(0(2(4(3(x1))))) 0(3(2(x1))) -> 0(2(1(4(3(x1))))) 0(3(2(x1))) -> 0(2(4(3(3(x1))))) 0(3(2(x1))) -> 0(2(1(3(3(4(x1)))))) 0(3(2(x1))) -> 0(2(3(4(5(5(x1)))))) 0(3(2(x1))) -> 2(4(4(3(4(0(x1)))))) 0(4(1(x1))) -> 0(1(4(4(x1)))) 0(4(1(x1))) -> 0(2(1(4(x1)))) 0(4(2(x1))) -> 0(2(1(4(x1)))) 0(4(2(x1))) -> 0(2(3(4(x1)))) 0(4(2(x1))) -> 0(2(4(3(x1)))) 2(0(1(x1))) -> 5(0(2(1(x1)))) 2(3(1(x1))) -> 1(3(5(2(x1)))) 2(3(1(x1))) -> 0(2(1(3(5(x1))))) 2(3(1(x1))) -> 1(4(3(5(2(x1))))) 0(2(0(1(x1)))) -> 5(0(0(2(1(x1))))) 0(3(1(1(x1)))) -> 0(1(4(1(3(4(x1)))))) 0(3(2(1(x1)))) -> 0(0(3(4(2(1(x1)))))) 0(3(2(2(x1)))) -> 1(3(4(0(2(2(x1)))))) 0(4(1(2(x1)))) -> 1(4(0(2(5(x1))))) 0(4(3(2(x1)))) -> 2(3(4(4(0(0(x1)))))) 0(5(3(1(x1)))) -> 0(1(4(3(5(4(x1)))))) 0(5(3(1(x1)))) -> 0(1(5(3(4(0(x1)))))) 0(5(3(2(x1)))) -> 0(2(4(5(3(x1))))) 0(5(3(2(x1)))) -> 0(2(5(3(3(x1))))) 2(0(3(1(x1)))) -> 2(0(1(3(5(2(x1)))))) 2(0(4(1(x1)))) -> 2(0(1(4(5(x1))))) 2(5(3(2(x1)))) -> 2(5(2(3(3(x1))))) 2(5(4(2(x1)))) -> 0(2(5(2(4(x1))))) 0(0(3(2(1(x1))))) -> 0(0(1(3(5(2(x1)))))) 0(1(0(3(2(x1))))) -> 0(1(4(3(2(0(x1)))))) 0(1(0(3(2(x1))))) -> 2(3(1(0(0(5(x1)))))) 0(3(2(5(1(x1))))) -> 0(2(5(1(3(3(x1)))))) 0(5(1(1(2(x1))))) -> 0(2(4(1(1(5(x1)))))) 0(5(1(2(2(x1))))) -> 0(2(5(2(1(2(x1)))))) 0(5(3(2(1(x1))))) -> 0(1(3(4(2(5(x1)))))) 0(5(5(3(2(x1))))) -> 0(2(5(1(3(5(x1)))))) 2(0(3(1(1(x1))))) -> 2(1(0(1(3(4(x1)))))) 2(2(0(3(1(x1))))) -> 1(3(0(2(5(2(x1)))))) 2(2(0(5(1(x1))))) -> 2(0(2(1(5(1(x1)))))) 2(5(5(4(1(x1))))) -> 5(5(2(1(3(4(x1)))))) graph: ... EDG Processor: DPs: 0#(1(2(x1))) -> 2#(1(x1)) 0#(1(2(x1))) -> 0#(2(1(x1))) 0#(1(2(x1))) -> 0#(0(2(1(x1)))) 0#(1(2(x1))) -> 2#(1(3(x1))) 0#(1(2(x1))) -> 0#(2(1(3(x1)))) 0#(1(2(x1))) -> 2#(1(4(4(x1)))) 0#(1(2(x1))) -> 0#(2(1(4(4(x1))))) 0#(1(2(x1))) -> 0#(0(2(1(4(4(x1)))))) 0#(3(1(x1))) -> 0#(x1) 0#(3(1(x1))) -> 0#(1(3(4(0(x1))))) 0#(3(1(x1))) -> 0#(1(3(4(4(x1))))) 0#(3(2(x1))) -> 2#(1(3(x1))) 0#(3(2(x1))) -> 0#(2(1(3(x1)))) 0#(3(2(x1))) -> 2#(3(4(x1))) 0#(3(2(x1))) -> 0#(2(3(4(x1)))) 0#(3(2(x1))) -> 2#(4(3(x1))) 0#(3(2(x1))) -> 0#(2(4(3(x1)))) 0#(3(2(x1))) -> 0#(0(2(4(3(x1))))) 0#(3(2(x1))) -> 2#(1(4(3(x1)))) 0#(3(2(x1))) -> 0#(2(1(4(3(x1))))) 0#(3(2(x1))) -> 2#(4(3(3(x1)))) 0#(3(2(x1))) -> 0#(2(4(3(3(x1))))) 0#(3(2(x1))) -> 2#(1(3(3(4(x1))))) 0#(3(2(x1))) -> 0#(2(1(3(3(4(x1)))))) 0#(3(2(x1))) -> 2#(3(4(5(5(x1))))) 0#(3(2(x1))) -> 0#(2(3(4(5(5(x1)))))) 0#(3(2(x1))) -> 0#(x1) 0#(3(2(x1))) -> 2#(4(4(3(4(0(x1)))))) 0#(4(1(x1))) -> 0#(1(4(4(x1)))) 0#(4(1(x1))) -> 2#(1(4(x1))) 0#(4(1(x1))) -> 0#(2(1(4(x1)))) 0#(4(2(x1))) -> 2#(1(4(x1))) 0#(4(2(x1))) -> 0#(2(1(4(x1)))) 0#(4(2(x1))) -> 2#(3(4(x1))) 0#(4(2(x1))) -> 0#(2(3(4(x1)))) 0#(4(2(x1))) -> 2#(4(3(x1))) 0#(4(2(x1))) -> 0#(2(4(3(x1)))) 2#(0(1(x1))) -> 2#(1(x1)) 2#(0(1(x1))) -> 0#(2(1(x1))) 2#(3(1(x1))) -> 2#(x1) 2#(3(1(x1))) -> 2#(1(3(5(x1)))) 2#(3(1(x1))) -> 0#(2(1(3(5(x1))))) 0#(2(0(1(x1)))) -> 2#(1(x1)) 0#(2(0(1(x1)))) -> 0#(2(1(x1))) 0#(2(0(1(x1)))) -> 0#(0(2(1(x1)))) 0#(3(1(1(x1)))) -> 0#(1(4(1(3(4(x1)))))) 0#(3(2(1(x1)))) -> 0#(3(4(2(1(x1))))) 0#(3(2(1(x1)))) -> 0#(0(3(4(2(1(x1)))))) 0#(3(2(2(x1)))) -> 0#(2(2(x1))) 0#(4(1(2(x1)))) -> 2#(5(x1)) 0#(4(1(2(x1)))) -> 0#(2(5(x1))) 0#(4(3(2(x1)))) -> 0#(x1) 0#(4(3(2(x1)))) -> 0#(0(x1)) 0#(4(3(2(x1)))) -> 2#(3(4(4(0(0(x1)))))) 0#(5(3(1(x1)))) -> 0#(1(4(3(5(4(x1)))))) 0#(5(3(1(x1)))) -> 0#(x1) 0#(5(3(1(x1)))) -> 0#(1(5(3(4(0(x1)))))) 0#(5(3(2(x1)))) -> 2#(4(5(3(x1)))) 0#(5(3(2(x1)))) -> 0#(2(4(5(3(x1))))) 0#(5(3(2(x1)))) -> 2#(5(3(3(x1)))) 0#(5(3(2(x1)))) -> 0#(2(5(3(3(x1))))) 2#(0(3(1(x1)))) -> 2#(x1) 2#(0(3(1(x1)))) -> 0#(1(3(5(2(x1))))) 2#(0(3(1(x1)))) -> 2#(0(1(3(5(2(x1)))))) 2#(0(4(1(x1)))) -> 0#(1(4(5(x1)))) 2#(0(4(1(x1)))) -> 2#(0(1(4(5(x1))))) 2#(5(3(2(x1)))) -> 2#(3(3(x1))) 2#(5(3(2(x1)))) -> 2#(5(2(3(3(x1))))) 2#(5(4(2(x1)))) -> 2#(4(x1)) 2#(5(4(2(x1)))) -> 2#(5(2(4(x1)))) 2#(5(4(2(x1)))) -> 0#(2(5(2(4(x1))))) 0#(0(3(2(1(x1))))) -> 2#(x1) 0#(0(3(2(1(x1))))) -> 0#(1(3(5(2(x1))))) 0#(0(3(2(1(x1))))) -> 0#(0(1(3(5(2(x1)))))) 0#(1(0(3(2(x1))))) -> 0#(x1) 0#(1(0(3(2(x1))))) -> 2#(0(x1)) 0#(1(0(3(2(x1))))) -> 0#(1(4(3(2(0(x1)))))) 0#(1(0(3(2(x1))))) -> 0#(5(x1)) 0#(1(0(3(2(x1))))) -> 0#(0(5(x1))) 0#(1(0(3(2(x1))))) -> 2#(3(1(0(0(5(x1)))))) 0#(3(2(5(1(x1))))) -> 2#(5(1(3(3(x1))))) 0#(3(2(5(1(x1))))) -> 0#(2(5(1(3(3(x1)))))) 0#(5(1(1(2(x1))))) -> 2#(4(1(1(5(x1))))) 0#(5(1(1(2(x1))))) -> 0#(2(4(1(1(5(x1)))))) 0#(5(1(2(2(x1))))) -> 2#(1(2(x1))) 0#(5(1(2(2(x1))))) -> 2#(5(2(1(2(x1))))) 0#(5(1(2(2(x1))))) -> 0#(2(5(2(1(2(x1)))))) 0#(5(3(2(1(x1))))) -> 2#(5(x1)) 0#(5(3(2(1(x1))))) -> 0#(1(3(4(2(5(x1)))))) 0#(5(5(3(2(x1))))) -> 2#(5(1(3(5(x1))))) 0#(5(5(3(2(x1))))) -> 0#(2(5(1(3(5(x1)))))) 2#(0(3(1(1(x1))))) -> 0#(1(3(4(x1)))) 2#(0(3(1(1(x1))))) -> 2#(1(0(1(3(4(x1)))))) 2#(2(0(3(1(x1))))) -> 2#(x1) 2#(2(0(3(1(x1))))) -> 2#(5(2(x1))) 2#(2(0(3(1(x1))))) -> 0#(2(5(2(x1)))) 2#(2(0(5(1(x1))))) -> 2#(1(5(1(x1)))) 2#(2(0(5(1(x1))))) -> 0#(2(1(5(1(x1))))) 2#(2(0(5(1(x1))))) -> 2#(0(2(1(5(1(x1)))))) 2#(5(5(4(1(x1))))) -> 2#(1(3(4(x1)))) TRS: 0(1(2(x1))) -> 0(0(2(1(x1)))) 0(1(2(x1))) -> 0(2(1(3(x1)))) 0(1(2(x1))) -> 0(0(2(1(4(4(x1)))))) 0(3(1(x1))) -> 0(1(3(4(0(x1))))) 0(3(1(x1))) -> 0(1(3(4(4(x1))))) 0(3(1(x1))) -> 1(3(4(4(4(0(x1)))))) 0(3(2(x1))) -> 0(2(1(3(x1)))) 0(3(2(x1))) -> 0(2(3(4(x1)))) 0(3(2(x1))) -> 0(0(2(4(3(x1))))) 0(3(2(x1))) -> 0(2(1(4(3(x1))))) 0(3(2(x1))) -> 0(2(4(3(3(x1))))) 0(3(2(x1))) -> 0(2(1(3(3(4(x1)))))) 0(3(2(x1))) -> 0(2(3(4(5(5(x1)))))) 0(3(2(x1))) -> 2(4(4(3(4(0(x1)))))) 0(4(1(x1))) -> 0(1(4(4(x1)))) 0(4(1(x1))) -> 0(2(1(4(x1)))) 0(4(2(x1))) -> 0(2(1(4(x1)))) 0(4(2(x1))) -> 0(2(3(4(x1)))) 0(4(2(x1))) -> 0(2(4(3(x1)))) 2(0(1(x1))) -> 5(0(2(1(x1)))) 2(3(1(x1))) -> 1(3(5(2(x1)))) 2(3(1(x1))) -> 0(2(1(3(5(x1))))) 2(3(1(x1))) -> 1(4(3(5(2(x1))))) 0(2(0(1(x1)))) -> 5(0(0(2(1(x1))))) 0(3(1(1(x1)))) -> 0(1(4(1(3(4(x1)))))) 0(3(2(1(x1)))) -> 0(0(3(4(2(1(x1)))))) 0(3(2(2(x1)))) -> 1(3(4(0(2(2(x1)))))) 0(4(1(2(x1)))) -> 1(4(0(2(5(x1))))) 0(4(3(2(x1)))) -> 2(3(4(4(0(0(x1)))))) 0(5(3(1(x1)))) -> 0(1(4(3(5(4(x1)))))) 0(5(3(1(x1)))) -> 0(1(5(3(4(0(x1)))))) 0(5(3(2(x1)))) -> 0(2(4(5(3(x1))))) 0(5(3(2(x1)))) -> 0(2(5(3(3(x1))))) 2(0(3(1(x1)))) -> 2(0(1(3(5(2(x1)))))) 2(0(4(1(x1)))) -> 2(0(1(4(5(x1))))) 2(5(3(2(x1)))) -> 2(5(2(3(3(x1))))) 2(5(4(2(x1)))) -> 0(2(5(2(4(x1))))) 0(0(3(2(1(x1))))) -> 0(0(1(3(5(2(x1)))))) 0(1(0(3(2(x1))))) -> 0(1(4(3(2(0(x1)))))) 0(1(0(3(2(x1))))) -> 2(3(1(0(0(5(x1)))))) 0(3(2(5(1(x1))))) -> 0(2(5(1(3(3(x1)))))) 0(5(1(1(2(x1))))) -> 0(2(4(1(1(5(x1)))))) 0(5(1(2(2(x1))))) -> 0(2(5(2(1(2(x1)))))) 0(5(3(2(1(x1))))) -> 0(1(3(4(2(5(x1)))))) 0(5(5(3(2(x1))))) -> 0(2(5(1(3(5(x1)))))) 2(0(3(1(1(x1))))) -> 2(1(0(1(3(4(x1)))))) 2(2(0(3(1(x1))))) -> 1(3(0(2(5(2(x1)))))) 2(2(0(5(1(x1))))) -> 2(0(2(1(5(1(x1)))))) 2(5(5(4(1(x1))))) -> 5(5(2(1(3(4(x1)))))) graph: 2#(3(1(x1))) -> 2#(x1) -> 2#(0(1(x1))) -> 2#(1(x1)) 2#(3(1(x1))) -> 2#(x1) -> 2#(0(1(x1))) -> 0#(2(1(x1))) 2#(3(1(x1))) -> 2#(x1) -> 2#(3(1(x1))) -> 2#(x1) 2#(3(1(x1))) -> 2#(x1) -> 2#(3(1(x1))) -> 2#(1(3(5(x1)))) 2#(3(1(x1))) -> 2#(x1) -> 2#(3(1(x1))) -> 0#(2(1(3(5(x1))))) 2#(3(1(x1))) -> 2#(x1) -> 2#(0(3(1(x1)))) -> 2#(x1) 2#(3(1(x1))) -> 2#(x1) -> 2#(0(3(1(x1)))) -> 0#(1(3(5(2(x1))))) 2#(3(1(x1))) -> 2#(x1) -> 2#(0(3(1(x1)))) -> 2#(0(1(3(5(2(x1)))))) 2#(3(1(x1))) -> 2#(x1) -> 2#(0(4(1(x1)))) -> 0#(1(4(5(x1)))) 2#(3(1(x1))) -> 2#(x1) -> 2#(0(4(1(x1)))) -> 2#(0(1(4(5(x1))))) 2#(3(1(x1))) -> 2#(x1) -> 2#(5(3(2(x1)))) -> 2#(3(3(x1))) 2#(3(1(x1))) -> 2#(x1) -> 2#(5(3(2(x1)))) -> 2#(5(2(3(3(x1))))) 2#(3(1(x1))) -> 2#(x1) -> 2#(5(4(2(x1)))) -> 2#(4(x1)) 2#(3(1(x1))) -> 2#(x1) -> 2#(5(4(2(x1)))) -> 2#(5(2(4(x1)))) 2#(3(1(x1))) -> 2#(x1) -> 2#(5(4(2(x1)))) -> 0#(2(5(2(4(x1))))) 2#(3(1(x1))) -> 2#(x1) -> 2#(0(3(1(1(x1))))) -> 0#(1(3(4(x1)))) 2#(3(1(x1))) -> 2#(x1) -> 2#(0(3(1(1(x1))))) -> 2#(1(0(1(3(4(x1)))))) 2#(3(1(x1))) -> 2#(x1) -> 2#(2(0(3(1(x1))))) -> 2#(x1) 2#(3(1(x1))) -> 2#(x1) -> 2#(2(0(3(1(x1))))) -> 2#(5(2(x1))) 2#(3(1(x1))) -> 2#(x1) -> 2#(2(0(3(1(x1))))) -> 0#(2(5(2(x1)))) 2#(3(1(x1))) -> 2#(x1) -> 2#(2(0(5(1(x1))))) -> 2#(1(5(1(x1)))) 2#(3(1(x1))) -> 2#(x1) -> 2#(2(0(5(1(x1))))) -> 0#(2(1(5(1(x1))))) 2#(3(1(x1))) -> 2#(x1) -> 2#(2(0(5(1(x1))))) -> 2#(0(2(1(5(1(x1)))))) 2#(3(1(x1))) -> 2#(x1) -> 2#(5(5(4(1(x1))))) -> 2#(1(3(4(x1)))) 2#(0(4(1(x1)))) -> 2#(0(1(4(5(x1))))) -> 2#(0(1(x1))) -> 2#(1(x1)) 2#(0(4(1(x1)))) -> 2#(0(1(4(5(x1))))) -> 2#(0(1(x1))) -> 0#(2(1(x1))) 2#(0(3(1(x1)))) -> 2#(0(1(3(5(2(x1)))))) -> 2#(0(1(x1))) -> 2#(1(x1)) 2#(0(3(1(x1)))) -> 2#(0(1(3(5(2(x1)))))) -> 2#(0(1(x1))) -> 0#(2(1(x1))) 2#(0(3(1(x1)))) -> 2#(x1) -> 2#(0(1(x1))) -> 2#(1(x1)) 2#(0(3(1(x1)))) -> 2#(x1) -> 2#(0(1(x1))) -> 0#(2(1(x1))) 2#(0(3(1(x1)))) -> 2#(x1) -> 2#(3(1(x1))) -> 2#(x1) 2#(0(3(1(x1)))) -> 2#(x1) -> 2#(3(1(x1))) -> 2#(1(3(5(x1)))) 2#(0(3(1(x1)))) -> 2#(x1) -> 2#(3(1(x1))) -> 0#(2(1(3(5(x1))))) 2#(0(3(1(x1)))) -> 2#(x1) -> 2#(0(3(1(x1)))) -> 2#(x1) 2#(0(3(1(x1)))) -> 2#(x1) -> 2#(0(3(1(x1)))) -> 0#(1(3(5(2(x1))))) 2#(0(3(1(x1)))) -> 2#(x1) -> 2#(0(3(1(x1)))) -> 2#(0(1(3(5(2(x1)))))) 2#(0(3(1(x1)))) -> 2#(x1) -> 2#(0(4(1(x1)))) -> 0#(1(4(5(x1)))) 2#(0(3(1(x1)))) -> 2#(x1) -> 2#(0(4(1(x1)))) -> 2#(0(1(4(5(x1))))) 2#(0(3(1(x1)))) -> 2#(x1) -> 2#(5(3(2(x1)))) -> 2#(3(3(x1))) 2#(0(3(1(x1)))) -> 2#(x1) -> 2#(5(3(2(x1)))) -> 2#(5(2(3(3(x1))))) 2#(0(3(1(x1)))) -> 2#(x1) -> 2#(5(4(2(x1)))) -> 2#(4(x1)) 2#(0(3(1(x1)))) -> 2#(x1) -> 2#(5(4(2(x1)))) -> 2#(5(2(4(x1)))) 2#(0(3(1(x1)))) -> 2#(x1) -> 2#(5(4(2(x1)))) -> 0#(2(5(2(4(x1))))) 2#(0(3(1(x1)))) -> 2#(x1) -> 2#(0(3(1(1(x1))))) -> 0#(1(3(4(x1)))) 2#(0(3(1(x1)))) -> 2#(x1) -> 2#(0(3(1(1(x1))))) -> 2#(1(0(1(3(4(x1)))))) 2#(0(3(1(x1)))) -> 2#(x1) -> 2#(2(0(3(1(x1))))) -> 2#(x1) 2#(0(3(1(x1)))) -> 2#(x1) -> 2#(2(0(3(1(x1))))) -> 2#(5(2(x1))) 2#(0(3(1(x1)))) -> 2#(x1) -> 2#(2(0(3(1(x1))))) -> 0#(2(5(2(x1)))) 2#(0(3(1(x1)))) -> 2#(x1) -> 2#(2(0(5(1(x1))))) -> 2#(1(5(1(x1)))) 2#(0(3(1(x1)))) -> 2#(x1) -> 2#(2(0(5(1(x1))))) -> 0#(2(1(5(1(x1))))) 2#(0(3(1(x1)))) -> 2#(x1) -> 2#(2(0(5(1(x1))))) -> 2#(0(2(1(5(1(x1)))))) 2#(0(3(1(x1)))) -> 2#(x1) -> 2#(5(5(4(1(x1))))) -> 2#(1(3(4(x1)))) 2#(2(0(3(1(x1))))) -> 2#(x1) -> 2#(0(1(x1))) -> 2#(1(x1)) 2#(2(0(3(1(x1))))) -> 2#(x1) -> 2#(0(1(x1))) -> 0#(2(1(x1))) 2#(2(0(3(1(x1))))) -> 2#(x1) -> 2#(3(1(x1))) -> 2#(x1) 2#(2(0(3(1(x1))))) -> 2#(x1) -> 2#(3(1(x1))) -> 2#(1(3(5(x1)))) 2#(2(0(3(1(x1))))) -> 2#(x1) -> 2#(3(1(x1))) -> 0#(2(1(3(5(x1))))) 2#(2(0(3(1(x1))))) -> 2#(x1) -> 2#(0(3(1(x1)))) -> 2#(x1) 2#(2(0(3(1(x1))))) -> 2#(x1) -> 2#(0(3(1(x1)))) -> 0#(1(3(5(2(x1))))) 2#(2(0(3(1(x1))))) -> 2#(x1) -> 2#(0(3(1(x1)))) -> 2#(0(1(3(5(2(x1)))))) 2#(2(0(3(1(x1))))) -> 2#(x1) -> 2#(0(4(1(x1)))) -> 0#(1(4(5(x1)))) 2#(2(0(3(1(x1))))) -> 2#(x1) -> 2#(0(4(1(x1)))) -> 2#(0(1(4(5(x1))))) 2#(2(0(3(1(x1))))) -> 2#(x1) -> 2#(5(3(2(x1)))) -> 2#(3(3(x1))) 2#(2(0(3(1(x1))))) -> 2#(x1) -> 2#(5(3(2(x1)))) -> 2#(5(2(3(3(x1))))) 2#(2(0(3(1(x1))))) -> 2#(x1) -> 2#(5(4(2(x1)))) -> 2#(4(x1)) 2#(2(0(3(1(x1))))) -> 2#(x1) -> 2#(5(4(2(x1)))) -> 2#(5(2(4(x1)))) 2#(2(0(3(1(x1))))) -> 2#(x1) -> 2#(5(4(2(x1)))) -> 0#(2(5(2(4(x1))))) 2#(2(0(3(1(x1))))) -> 2#(x1) -> 2#(0(3(1(1(x1))))) -> 0#(1(3(4(x1)))) 2#(2(0(3(1(x1))))) -> 2#(x1) -> 2#(0(3(1(1(x1))))) -> 2#(1(0(1(3(4(x1)))))) 2#(2(0(3(1(x1))))) -> 2#(x1) -> 2#(2(0(3(1(x1))))) -> 2#(x1) 2#(2(0(3(1(x1))))) -> 2#(x1) -> 2#(2(0(3(1(x1))))) -> 2#(5(2(x1))) 2#(2(0(3(1(x1))))) -> 2#(x1) -> 2#(2(0(3(1(x1))))) -> 0#(2(5(2(x1)))) 2#(2(0(3(1(x1))))) -> 2#(x1) -> 2#(2(0(5(1(x1))))) -> 2#(1(5(1(x1)))) 2#(2(0(3(1(x1))))) -> 2#(x1) -> 2#(2(0(5(1(x1))))) -> 0#(2(1(5(1(x1))))) 2#(2(0(3(1(x1))))) -> 2#(x1) -> 2#(2(0(5(1(x1))))) -> 2#(0(2(1(5(1(x1)))))) 2#(2(0(3(1(x1))))) -> 2#(x1) -> 2#(5(5(4(1(x1))))) -> 2#(1(3(4(x1)))) 2#(2(0(3(1(x1))))) -> 0#(2(5(2(x1)))) -> 0#(1(2(x1))) -> 2#(1(x1)) 2#(2(0(3(1(x1))))) -> 0#(2(5(2(x1)))) -> 0#(1(2(x1))) -> 0#(2(1(x1))) 2#(2(0(3(1(x1))))) -> 0#(2(5(2(x1)))) -> 0#(1(2(x1))) -> 0#(0(2(1(x1)))) 2#(2(0(3(1(x1))))) -> 0#(2(5(2(x1)))) -> 0#(1(2(x1))) -> 2#(1(3(x1))) 2#(2(0(3(1(x1))))) -> 0#(2(5(2(x1)))) -> 0#(1(2(x1))) -> 0#(2(1(3(x1)))) 2#(2(0(3(1(x1))))) -> 0#(2(5(2(x1)))) -> 0#(1(2(x1))) -> 2#(1(4(4(x1)))) 2#(2(0(3(1(x1))))) -> 0#(2(5(2(x1)))) -> 0#(1(2(x1))) -> 0#(2(1(4(4(x1))))) 2#(2(0(3(1(x1))))) -> 0#(2(5(2(x1)))) -> 0#(1(2(x1))) -> 0#(0(2(1(4(4(x1)))))) 2#(2(0(3(1(x1))))) -> 0#(2(5(2(x1)))) -> 0#(2(0(1(x1)))) -> 2#(1(x1)) 2#(2(0(3(1(x1))))) -> 0#(2(5(2(x1)))) -> 0#(2(0(1(x1)))) -> 0#(2(1(x1))) 2#(2(0(3(1(x1))))) -> 0#(2(5(2(x1)))) -> 0#(2(0(1(x1)))) -> 0#(0(2(1(x1)))) 2#(2(0(3(1(x1))))) -> 0#(2(5(2(x1)))) -> 0#(5(1(1(2(x1))))) -> 2#(4(1(1(5(x1))))) 2#(2(0(3(1(x1))))) -> 0#(2(5(2(x1)))) -> 0#(5(1(1(2(x1))))) -> 0#(2(4(1(1(5(x1)))))) 2#(2(0(3(1(x1))))) -> 0#(2(5(2(x1)))) -> 0#(5(1(2(2(x1))))) -> 2#(1(2(x1))) 2#(2(0(3(1(x1))))) -> 0#(2(5(2(x1)))) -> 0#(5(1(2(2(x1))))) -> 2#(5(2(1(2(x1))))) 2#(2(0(3(1(x1))))) -> 0#(2(5(2(x1)))) -> 0#(5(1(2(2(x1))))) -> 0#(2(5(2(1(2(x1)))))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(1(2(x1))) -> 2#(1(x1)) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(1(2(x1))) -> 0#(2(1(x1))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(1(2(x1))) -> 0#(0(2(1(x1)))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(1(2(x1))) -> 2#(1(3(x1))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(1(2(x1))) -> 0#(2(1(3(x1)))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(1(2(x1))) -> 2#(1(4(4(x1)))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(1(2(x1))) -> 0#(2(1(4(4(x1))))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(1(2(x1))) -> 0#(0(2(1(4(4(x1)))))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(3(1(x1))) -> 0#(x1) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(3(1(x1))) -> 0#(1(3(4(0(x1))))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(3(1(x1))) -> 0#(1(3(4(4(x1))))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(3(2(x1))) -> 2#(1(3(x1))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(3(2(x1))) -> 0#(2(1(3(x1)))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(3(2(x1))) -> 2#(3(4(x1))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(3(2(x1))) -> 0#(2(3(4(x1)))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(3(2(x1))) -> 2#(4(3(x1))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(3(2(x1))) -> 0#(2(4(3(x1)))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(3(2(x1))) -> 0#(0(2(4(3(x1))))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(3(2(x1))) -> 2#(1(4(3(x1)))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(3(2(x1))) -> 0#(2(1(4(3(x1))))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(3(2(x1))) -> 2#(4(3(3(x1)))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(3(2(x1))) -> 0#(2(4(3(3(x1))))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(3(2(x1))) -> 2#(1(3(3(4(x1))))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(3(2(x1))) -> 0#(2(1(3(3(4(x1)))))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(3(2(x1))) -> 2#(3(4(5(5(x1))))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(3(2(x1))) -> 0#(2(3(4(5(5(x1)))))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(3(2(x1))) -> 0#(x1) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(3(2(x1))) -> 2#(4(4(3(4(0(x1)))))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(4(1(x1))) -> 0#(1(4(4(x1)))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(4(1(x1))) -> 2#(1(4(x1))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(4(1(x1))) -> 0#(2(1(4(x1)))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(4(2(x1))) -> 2#(1(4(x1))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(4(2(x1))) -> 0#(2(1(4(x1)))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(4(2(x1))) -> 2#(3(4(x1))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(4(2(x1))) -> 0#(2(3(4(x1)))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(4(2(x1))) -> 2#(4(3(x1))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(4(2(x1))) -> 0#(2(4(3(x1)))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(2(0(1(x1)))) -> 2#(1(x1)) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(2(0(1(x1)))) -> 0#(2(1(x1))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(2(0(1(x1)))) -> 0#(0(2(1(x1)))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(3(1(1(x1)))) -> 0#(1(4(1(3(4(x1)))))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(3(2(1(x1)))) -> 0#(3(4(2(1(x1))))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(3(2(1(x1)))) -> 0#(0(3(4(2(1(x1)))))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(3(2(2(x1)))) -> 0#(2(2(x1))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(4(1(2(x1)))) -> 2#(5(x1)) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(4(1(2(x1)))) -> 0#(2(5(x1))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(4(3(2(x1)))) -> 0#(x1) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(4(3(2(x1)))) -> 0#(0(x1)) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(4(3(2(x1)))) -> 2#(3(4(4(0(0(x1)))))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(5(3(1(x1)))) -> 0#(1(4(3(5(4(x1)))))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(5(3(1(x1)))) -> 0#(x1) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(5(3(1(x1)))) -> 0#(1(5(3(4(0(x1)))))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(5(3(2(x1)))) -> 2#(4(5(3(x1)))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(5(3(2(x1)))) -> 0#(2(4(5(3(x1))))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(5(3(2(x1)))) -> 2#(5(3(3(x1)))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(5(3(2(x1)))) -> 0#(2(5(3(3(x1))))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(0(3(2(1(x1))))) -> 2#(x1) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(0(3(2(1(x1))))) -> 0#(1(3(5(2(x1))))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(0(3(2(1(x1))))) -> 0#(0(1(3(5(2(x1)))))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(1(0(3(2(x1))))) -> 0#(x1) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(1(0(3(2(x1))))) -> 2#(0(x1)) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(1(0(3(2(x1))))) -> 0#(1(4(3(2(0(x1)))))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(1(0(3(2(x1))))) -> 0#(5(x1)) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(1(0(3(2(x1))))) -> 0#(0(5(x1))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(1(0(3(2(x1))))) -> 2#(3(1(0(0(5(x1)))))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(3(2(5(1(x1))))) -> 2#(5(1(3(3(x1))))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(3(2(5(1(x1))))) -> 0#(2(5(1(3(3(x1)))))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(5(1(1(2(x1))))) -> 2#(4(1(1(5(x1))))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(5(1(1(2(x1))))) -> 0#(2(4(1(1(5(x1)))))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(5(1(2(2(x1))))) -> 2#(1(2(x1))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(5(1(2(2(x1))))) -> 2#(5(2(1(2(x1))))) 0#(5(3(1(x1)))) -> 0#(x1) -> 0#(5(1(2(2(x1))))) -> 0#(2(5(2(1(2(x1)))))) 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0#(x1) -> 0#(3(2(x1))) -> 0#(2(1(4(3(x1))))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(3(2(x1))) -> 2#(4(3(3(x1)))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(3(2(x1))) -> 0#(2(4(3(3(x1))))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(3(2(x1))) -> 2#(1(3(3(4(x1))))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(3(2(x1))) -> 0#(2(1(3(3(4(x1)))))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(3(2(x1))) -> 2#(3(4(5(5(x1))))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(3(2(x1))) -> 0#(2(3(4(5(5(x1)))))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(3(2(x1))) -> 0#(x1) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(3(2(x1))) -> 2#(4(4(3(4(0(x1)))))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(4(1(x1))) -> 0#(1(4(4(x1)))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(4(1(x1))) -> 2#(1(4(x1))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(4(1(x1))) -> 0#(2(1(4(x1)))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(4(2(x1))) -> 2#(1(4(x1))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(4(2(x1))) -> 0#(2(1(4(x1)))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(4(2(x1))) -> 2#(3(4(x1))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(4(2(x1))) -> 0#(2(3(4(x1)))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(4(2(x1))) -> 2#(4(3(x1))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(4(2(x1))) -> 0#(2(4(3(x1)))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(2(0(1(x1)))) -> 2#(1(x1)) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(2(0(1(x1)))) -> 0#(2(1(x1))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(2(0(1(x1)))) -> 0#(0(2(1(x1)))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(3(1(1(x1)))) -> 0#(1(4(1(3(4(x1)))))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(3(2(1(x1)))) -> 0#(3(4(2(1(x1))))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(3(2(1(x1)))) -> 0#(0(3(4(2(1(x1)))))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(3(2(2(x1)))) -> 0#(2(2(x1))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(4(1(2(x1)))) -> 2#(5(x1)) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(4(1(2(x1)))) -> 0#(2(5(x1))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(4(3(2(x1)))) -> 0#(x1) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(4(3(2(x1)))) -> 0#(0(x1)) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(4(3(2(x1)))) -> 2#(3(4(4(0(0(x1)))))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(5(3(1(x1)))) -> 0#(1(4(3(5(4(x1)))))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(5(3(1(x1)))) -> 0#(x1) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(5(3(1(x1)))) -> 0#(1(5(3(4(0(x1)))))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(5(3(2(x1)))) -> 2#(4(5(3(x1)))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(5(3(2(x1)))) -> 0#(2(4(5(3(x1))))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(5(3(2(x1)))) -> 2#(5(3(3(x1)))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(5(3(2(x1)))) -> 0#(2(5(3(3(x1))))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(0(3(2(1(x1))))) -> 2#(x1) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(0(3(2(1(x1))))) -> 0#(1(3(5(2(x1))))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(0(3(2(1(x1))))) -> 0#(0(1(3(5(2(x1)))))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(1(0(3(2(x1))))) -> 0#(x1) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(1(0(3(2(x1))))) -> 2#(0(x1)) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(1(0(3(2(x1))))) -> 0#(1(4(3(2(0(x1)))))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(1(0(3(2(x1))))) -> 0#(5(x1)) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(1(0(3(2(x1))))) -> 0#(0(5(x1))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(1(0(3(2(x1))))) -> 2#(3(1(0(0(5(x1)))))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(3(2(5(1(x1))))) -> 2#(5(1(3(3(x1))))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(3(2(5(1(x1))))) -> 0#(2(5(1(3(3(x1)))))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(5(1(1(2(x1))))) -> 2#(4(1(1(5(x1))))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(5(1(1(2(x1))))) -> 0#(2(4(1(1(5(x1)))))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(5(1(2(2(x1))))) -> 2#(1(2(x1))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(5(1(2(2(x1))))) -> 2#(5(2(1(2(x1))))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(5(1(2(2(x1))))) -> 0#(2(5(2(1(2(x1)))))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(5(3(2(1(x1))))) -> 2#(5(x1)) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(5(3(2(1(x1))))) -> 0#(1(3(4(2(5(x1)))))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(5(5(3(2(x1))))) -> 2#(5(1(3(5(x1))))) 0#(1(0(3(2(x1))))) -> 0#(x1) -> 0#(5(5(3(2(x1))))) -> 0#(2(5(1(3(5(x1)))))) SCC Processor: #sccs: 2 #rules: 9 #arcs: 606/10000 DPs: 0#(5(3(1(x1)))) -> 0#(x1) 0#(1(0(3(2(x1))))) -> 0#(5(x1)) 0#(1(0(3(2(x1))))) -> 0#(x1) 0#(4(3(2(x1)))) -> 0#(x1) 0#(3(2(x1))) -> 0#(x1) 0#(3(1(x1))) -> 0#(x1) TRS: 0(1(2(x1))) -> 0(0(2(1(x1)))) 0(1(2(x1))) -> 0(2(1(3(x1)))) 0(1(2(x1))) -> 0(0(2(1(4(4(x1)))))) 0(3(1(x1))) -> 0(1(3(4(0(x1))))) 0(3(1(x1))) -> 0(1(3(4(4(x1))))) 0(3(1(x1))) -> 1(3(4(4(4(0(x1)))))) 0(3(2(x1))) -> 0(2(1(3(x1)))) 0(3(2(x1))) -> 0(2(3(4(x1)))) 0(3(2(x1))) -> 0(0(2(4(3(x1))))) 0(3(2(x1))) -> 0(2(1(4(3(x1))))) 0(3(2(x1))) -> 0(2(4(3(3(x1))))) 0(3(2(x1))) -> 0(2(1(3(3(4(x1)))))) 0(3(2(x1))) -> 0(2(3(4(5(5(x1)))))) 0(3(2(x1))) -> 2(4(4(3(4(0(x1)))))) 0(4(1(x1))) -> 0(1(4(4(x1)))) 0(4(1(x1))) -> 0(2(1(4(x1)))) 0(4(2(x1))) -> 0(2(1(4(x1)))) 0(4(2(x1))) -> 0(2(3(4(x1)))) 0(4(2(x1))) -> 0(2(4(3(x1)))) 2(0(1(x1))) -> 5(0(2(1(x1)))) 2(3(1(x1))) -> 1(3(5(2(x1)))) 2(3(1(x1))) -> 0(2(1(3(5(x1))))) 2(3(1(x1))) -> 1(4(3(5(2(x1))))) 0(2(0(1(x1)))) -> 5(0(0(2(1(x1))))) 0(3(1(1(x1)))) -> 0(1(4(1(3(4(x1)))))) 0(3(2(1(x1)))) -> 0(0(3(4(2(1(x1)))))) 0(3(2(2(x1)))) -> 1(3(4(0(2(2(x1)))))) 0(4(1(2(x1)))) -> 1(4(0(2(5(x1))))) 0(4(3(2(x1)))) -> 2(3(4(4(0(0(x1)))))) 0(5(3(1(x1)))) -> 0(1(4(3(5(4(x1)))))) 0(5(3(1(x1)))) -> 0(1(5(3(4(0(x1)))))) 0(5(3(2(x1)))) -> 0(2(4(5(3(x1))))) 0(5(3(2(x1)))) -> 0(2(5(3(3(x1))))) 2(0(3(1(x1)))) -> 2(0(1(3(5(2(x1)))))) 2(0(4(1(x1)))) -> 2(0(1(4(5(x1))))) 2(5(3(2(x1)))) -> 2(5(2(3(3(x1))))) 2(5(4(2(x1)))) -> 0(2(5(2(4(x1))))) 0(0(3(2(1(x1))))) -> 0(0(1(3(5(2(x1)))))) 0(1(0(3(2(x1))))) -> 0(1(4(3(2(0(x1)))))) 0(1(0(3(2(x1))))) -> 2(3(1(0(0(5(x1)))))) 0(3(2(5(1(x1))))) -> 0(2(5(1(3(3(x1)))))) 0(5(1(1(2(x1))))) -> 0(2(4(1(1(5(x1)))))) 0(5(1(2(2(x1))))) -> 0(2(5(2(1(2(x1)))))) 0(5(3(2(1(x1))))) -> 0(1(3(4(2(5(x1)))))) 0(5(5(3(2(x1))))) -> 0(2(5(1(3(5(x1)))))) 2(0(3(1(1(x1))))) -> 2(1(0(1(3(4(x1)))))) 2(2(0(3(1(x1))))) -> 1(3(0(2(5(2(x1)))))) 2(2(0(5(1(x1))))) -> 2(0(2(1(5(1(x1)))))) 2(5(5(4(1(x1))))) -> 5(5(2(1(3(4(x1)))))) Matrix Interpretation Processor: dim=4 interpretation: [0#](x0) = [1 0 0 1]x0, [0 0 0 0] [0 0 0 0] [5](x0) = [0 0 0 0]x0 [1 0 0 1] , [0 0 0 0] [0 0 0 0] [4](x0) = [0 0 0 0]x0 [0 0 1 0] , [0 1 0 0] [0 0 0 0] [3](x0) = [0 1 1 0]x0 [0 0 1 0] , [0 0 0 1] [1 0 0 1] [0](x0) = [1 0 0 1]x0 [0 0 0 0] , [0 0 0 0] [0] [1 0 0 1] [0] [1](x0) = [0 0 0 0]x0 + [1] [0 0 1 0] [0], [0 0 0 0] [0] [0 0 0 0] [1] [2](x0) = [1 0 0 1]x0 + [0] [1 0 0 0] [0] orientation: 0#(5(3(1(x1)))) = [1 0 0 1]x1 + [1] >= [1 0 0 1]x1 = 0#(x1) 0#(1(0(3(2(x1))))) = [1 0 0 1]x1 + [1] >= [1 0 0 1]x1 = 0#(5(x1)) 0#(1(0(3(2(x1))))) = [1 0 0 1]x1 + [1] >= [1 0 0 1]x1 = 0#(x1) 0#(4(3(2(x1)))) = [1 0 0 1]x1 + [1] >= [1 0 0 1]x1 = 0#(x1) 0#(3(2(x1))) = [1 0 0 1]x1 + [1] >= [1 0 0 1]x1 = 0#(x1) 0#(3(1(x1))) = [1 0 0 1]x1 + [1] >= [1 0 0 1]x1 = 0#(x1) [1 0 0 1] [0] [1 0 0 1] [0] 0(1(2(x1))) = [1 0 0 1]x1 >= [0] = 0(0(2(1(x1)))) [0 0 0 0] [0] [1 0 0 1] [0] [1 0 0 1] [0] 0(1(2(x1))) = [1 0 0 1]x1 >= [0] = 0(2(1(3(x1)))) [0 0 0 0] [0] [1 0 0 1] [0] [1 0 0 1] [0] 0(1(2(x1))) = [1 0 0 1]x1 >= [0] = 0(0(2(1(4(4(x1)))))) [0 0 0 0] [0] [0 0 0 0] [1] [0] [1 0 0 1] [1] [0] 0(3(1(x1))) = [1 0 0 1]x1 + [1] >= [0] = 0(1(3(4(0(x1))))) [0 0 0 0] [0] [0] [0 0 0 0] [1] [0] [1 0 0 1] [1] [0] 0(3(1(x1))) = [1 0 0 1]x1 + [1] >= [0] = 0(1(3(4(4(x1))))) [0 0 0 0] [0] [0] [0 0 0 0] [1] [0] [1 0 0 1] [1] [0] 0(3(1(x1))) = [1 0 0 1]x1 + [1] >= [1] = 1(3(4(4(4(0(x1)))))) [0 0 0 0] [0] [0] [1 0 0 1] [0] [0] [1 0 0 1] [1] [0] 0(3(2(x1))) = [1 0 0 1]x1 + [1] >= [0] = 0(2(1(3(x1)))) [0 0 0 0] [0] [0] [1 0 0 1] [0] [0] [1 0 0 1] [1] [0] 0(3(2(x1))) = [1 0 0 1]x1 + [1] >= [0] = 0(2(3(4(x1)))) [0 0 0 0] [0] [0] [1 0 0 1] [0] [0] [1 0 0 1] [1] [0] 0(3(2(x1))) = [1 0 0 1]x1 + [1] >= [0] = 0(0(2(4(3(x1))))) [0 0 0 0] [0] [0] [1 0 0 1] [0] [0] [1 0 0 1] [1] [0] 0(3(2(x1))) = [1 0 0 1]x1 + [1] >= [0] = 0(2(1(4(3(x1))))) [0 0 0 0] [0] [0] [1 0 0 1] [0] [0] [1 0 0 1] [1] [0] 0(3(2(x1))) = [1 0 0 1]x1 + [1] >= [0] = 0(2(4(3(3(x1))))) [0 0 0 0] [0] [0] [1 0 0 1] [0] [0] [1 0 0 1] [1] [0] 0(3(2(x1))) = [1 0 0 1]x1 + [1] >= [0] = 0(2(1(3(3(4(x1)))))) [0 0 0 0] [0] [0] [1 0 0 1] [0] [0] [1 0 0 1] [1] [0] 0(3(2(x1))) = [1 0 0 1]x1 + [1] >= [0] = 0(2(3(4(5(5(x1)))))) [0 0 0 0] [0] [0] [1 0 0 1] [0] [0] [1 0 0 1] [1] [1] 0(3(2(x1))) = [1 0 0 1]x1 + [1] >= [0] = 2(4(4(3(4(0(x1)))))) [0 0 0 0] [0] [0] [1] [0] [1] [0] 0(4(1(x1))) = [1] >= [0] = 0(1(4(4(x1)))) [0] [0] [1] [0] [1] [0] 0(4(1(x1))) = [1] >= [0] = 0(2(1(4(x1)))) [0] [0] [1 0 0 1] [0] [1 0 0 1] [0] 0(4(2(x1))) = [1 0 0 1]x1 >= [0] = 0(2(1(4(x1)))) [0 0 0 0] [0] [1 0 0 1] [0] [1 0 0 1] [0] 0(4(2(x1))) = [1 0 0 1]x1 >= [0] = 0(2(3(4(x1)))) [0 0 0 0] [0] [1 0 0 1] [0] [1 0 0 1] [0] 0(4(2(x1))) = [1 0 0 1]x1 >= [0] = 0(2(4(3(x1)))) [0 0 0 0] [0] [0 0 0 0] [0] [0] [0 0 0 0] [1] [0] 2(0(1(x1))) = [0 0 1 0]x1 + [0] >= [0] = 5(0(2(1(x1)))) [0 0 1 0] [0] [0] [0 0 0 0] [0] [0] [0 0 0 0] [1] [0] 2(3(1(x1))) = [1 0 0 1]x1 + [1] >= [1] = 1(3(5(2(x1)))) [1 0 0 1] [0] [0] [0 0 0 0] [0] [0] [0 0 0 0] [1] [0] 2(3(1(x1))) = [1 0 0 1]x1 + [1] >= [0] = 0(2(1(3(5(x1))))) [1 0 0 1] [0] [0] [0 0 0 0] [0] [0] [0 0 0 0] [1] [0] 2(3(1(x1))) = [1 0 0 1]x1 + [1] >= [1] = 1(4(3(5(2(x1))))) [1 0 0 1] [0] [0] [0 0 1 0] [0] [0 0 1 0] [0] 0(2(0(1(x1)))) = [0 0 1 0]x1 >= [0] = 5(0(0(2(1(x1))))) [0 0 0 0] [0] [0 0 0 0] [1] [0] [0 0 1 0] [1] [0] 0(3(1(1(x1)))) = [0 0 1 0]x1 + [1] >= [0] = 0(1(4(1(3(4(x1)))))) [0 0 0 0] [0] [0] [0 0 1 0] [0] [0] [0 0 1 0] [1] [0] 0(3(2(1(x1)))) = [0 0 1 0]x1 + [1] >= [0] = 0(0(3(4(2(1(x1)))))) [0 0 0 0] [0] [0] [1 0 0 0] [0] [0] [1 0 0 0] [1] [0] 0(3(2(2(x1)))) = [1 0 0 0]x1 + [1] >= [1] = 1(3(4(0(2(2(x1)))))) [0 0 0 0] [0] [0] [1] [0] [1] [0] 0(4(1(2(x1)))) = [1] >= [1] = 1(4(0(2(5(x1))))) [0] [0] [1 0 0 1] [1] [0] [1 0 0 1] [1] [1] 0(4(3(2(x1)))) = [1 0 0 1]x1 + [1] >= [0] = 2(3(4(4(0(0(x1)))))) [0 0 0 0] [0] [0] [1 0 0 1] [1] [0] [1 0 0 1] [1] [0] 0(5(3(1(x1)))) = [1 0 0 1]x1 + [1] >= [0] = 0(1(4(3(5(4(x1)))))) [0 0 0 0] [0] [0] [1 0 0 1] [1] [0] [1 0 0 1] [1] [0] 0(5(3(1(x1)))) = [1 0 0 1]x1 + [1] >= [0] = 0(1(5(3(4(0(x1)))))) [0 0 0 0] [0] [0] [1 0 0 1] [1] [0] [1 0 0 1] [1] [0] 0(5(3(2(x1)))) = [1 0 0 1]x1 + [1] >= [0] = 0(2(4(5(3(x1))))) [0 0 0 0] [0] [0] [1 0 0 1] [1] [0] [1 0 0 1] [1] [0] 0(5(3(2(x1)))) = [1 0 0 1]x1 + [1] >= [0] = 0(2(5(3(3(x1))))) [0 0 0 0] [0] [0] [0] [0] [1] [1] 2(0(3(1(x1)))) = [1] >= [0] = 2(0(1(3(5(2(x1)))))) [1] [0] [0] [0] [1] [1] 2(0(4(1(x1)))) = [1] >= [0] = 2(0(1(4(5(x1))))) [1] [0] [0 0 0 0] [0] [0] [0 0 0 0] [1] [1] 2(5(3(2(x1)))) = [1 0 0 1]x1 + [1] >= [0] = 2(5(2(3(3(x1))))) [0 0 0 0] [0] [0] [0 0 0 0] [0] [0] [0 0 0 0] [1] [0] 2(5(4(2(x1)))) = [1 0 0 1]x1 + [0] >= [0] = 0(2(5(2(4(x1))))) [0 0 0 0] [0] [0] [0 0 0 0] [0] [0 0 1 0] [0] 0(0(3(2(1(x1))))) = [0 0 1 0]x1 >= [0] = 0(0(1(3(5(2(x1)))))) [0 0 0 0] [0] [1 0 0 1] [1] [0] [1 0 0 1] [1] [0] 0(1(0(3(2(x1))))) = [1 0 0 1]x1 + [1] >= [0] = 0(1(4(3(2(0(x1)))))) [0 0 0 0] [0] [0] [1 0 0 1] [1] [0] [1 0 0 1] [1] [1] 0(1(0(3(2(x1))))) = [1 0 0 1]x1 + [1] >= [1] = 2(3(1(0(0(5(x1)))))) [0 0 0 0] [0] [0] [0 0 1 0] [0] [0] [0 0 1 0] [1] [0] 0(3(2(5(1(x1))))) = [0 0 1 0]x1 + [1] >= [0] = 0(2(5(1(3(3(x1)))))) [0 0 0 0] [0] [0] [1] [0] [1] [0] 0(5(1(1(2(x1))))) = [1] >= [0] = 0(2(4(1(1(5(x1)))))) [0] [0] [1 0 0 0] [0] [1 0 0 0] [0] 0(5(1(2(2(x1))))) = [1 0 0 0]x1 >= [0] = 0(2(5(2(1(2(x1)))))) [0 0 0 0] [0] [0 0 1 0] [1] [0] [0 0 1 0] [1] [0] 0(5(3(2(1(x1))))) = [0 0 1 0]x1 + [1] >= [0] = 0(1(3(4(2(5(x1)))))) [0 0 0 0] [0] [0] [1 0 0 1] [1] [0] [1 0 0 1] [1] [0] 0(5(5(3(2(x1))))) = [1 0 0 1]x1 + [1] >= [0] = 0(2(5(1(3(5(x1)))))) [0 0 0 0] [0] [0] [0] [0] [1] [1] 2(0(3(1(1(x1))))) = [1] >= [0] = 2(1(0(1(3(4(x1)))))) [1] [0] [0] [0] [1] [0] 2(2(0(3(1(x1))))) = [1] >= [1] = 1(3(0(2(5(2(x1)))))) [0] [0] [0 0 0 0] [0] [0] [0 0 0 0] [1] [1] 2(2(0(5(1(x1))))) = [0 0 1 0]x1 + [0] >= [0] = 2(0(2(1(5(1(x1)))))) [0 0 0 0] [0] [0] [0] [0] [1] [0] 2(5(5(4(1(x1))))) = [1] >= [0] = 5(5(2(1(3(4(x1)))))) [0] [0] problem: DPs: TRS: 0(1(2(x1))) -> 0(0(2(1(x1)))) 0(1(2(x1))) -> 0(2(1(3(x1)))) 0(1(2(x1))) -> 0(0(2(1(4(4(x1)))))) 0(3(1(x1))) -> 0(1(3(4(0(x1))))) 0(3(1(x1))) -> 0(1(3(4(4(x1))))) 0(3(1(x1))) -> 1(3(4(4(4(0(x1)))))) 0(3(2(x1))) -> 0(2(1(3(x1)))) 0(3(2(x1))) -> 0(2(3(4(x1)))) 0(3(2(x1))) -> 0(0(2(4(3(x1))))) 0(3(2(x1))) -> 0(2(1(4(3(x1))))) 0(3(2(x1))) -> 0(2(4(3(3(x1))))) 0(3(2(x1))) -> 0(2(1(3(3(4(x1)))))) 0(3(2(x1))) -> 0(2(3(4(5(5(x1)))))) 0(3(2(x1))) -> 2(4(4(3(4(0(x1)))))) 0(4(1(x1))) -> 0(1(4(4(x1)))) 0(4(1(x1))) -> 0(2(1(4(x1)))) 0(4(2(x1))) -> 0(2(1(4(x1)))) 0(4(2(x1))) -> 0(2(3(4(x1)))) 0(4(2(x1))) -> 0(2(4(3(x1)))) 2(0(1(x1))) -> 5(0(2(1(x1)))) 2(3(1(x1))) -> 1(3(5(2(x1)))) 2(3(1(x1))) -> 0(2(1(3(5(x1))))) 2(3(1(x1))) -> 1(4(3(5(2(x1))))) 0(2(0(1(x1)))) -> 5(0(0(2(1(x1))))) 0(3(1(1(x1)))) -> 0(1(4(1(3(4(x1)))))) 0(3(2(1(x1)))) -> 0(0(3(4(2(1(x1)))))) 0(3(2(2(x1)))) -> 1(3(4(0(2(2(x1)))))) 0(4(1(2(x1)))) -> 1(4(0(2(5(x1))))) 0(4(3(2(x1)))) -> 2(3(4(4(0(0(x1)))))) 0(5(3(1(x1)))) -> 0(1(4(3(5(4(x1)))))) 0(5(3(1(x1)))) -> 0(1(5(3(4(0(x1)))))) 0(5(3(2(x1)))) -> 0(2(4(5(3(x1))))) 0(5(3(2(x1)))) -> 0(2(5(3(3(x1))))) 2(0(3(1(x1)))) -> 2(0(1(3(5(2(x1)))))) 2(0(4(1(x1)))) -> 2(0(1(4(5(x1))))) 2(5(3(2(x1)))) -> 2(5(2(3(3(x1))))) 2(5(4(2(x1)))) -> 0(2(5(2(4(x1))))) 0(0(3(2(1(x1))))) -> 0(0(1(3(5(2(x1)))))) 0(1(0(3(2(x1))))) -> 0(1(4(3(2(0(x1)))))) 0(1(0(3(2(x1))))) -> 2(3(1(0(0(5(x1)))))) 0(3(2(5(1(x1))))) -> 0(2(5(1(3(3(x1)))))) 0(5(1(1(2(x1))))) -> 0(2(4(1(1(5(x1)))))) 0(5(1(2(2(x1))))) -> 0(2(5(2(1(2(x1)))))) 0(5(3(2(1(x1))))) -> 0(1(3(4(2(5(x1)))))) 0(5(5(3(2(x1))))) -> 0(2(5(1(3(5(x1)))))) 2(0(3(1(1(x1))))) -> 2(1(0(1(3(4(x1)))))) 2(2(0(3(1(x1))))) -> 1(3(0(2(5(2(x1)))))) 2(2(0(5(1(x1))))) -> 2(0(2(1(5(1(x1)))))) 2(5(5(4(1(x1))))) -> 5(5(2(1(3(4(x1)))))) Qed DPs: 2#(3(1(x1))) -> 2#(x1) 2#(2(0(3(1(x1))))) -> 2#(x1) 2#(0(3(1(x1)))) -> 2#(x1) TRS: 0(1(2(x1))) -> 0(0(2(1(x1)))) 0(1(2(x1))) -> 0(2(1(3(x1)))) 0(1(2(x1))) -> 0(0(2(1(4(4(x1)))))) 0(3(1(x1))) -> 0(1(3(4(0(x1))))) 0(3(1(x1))) -> 0(1(3(4(4(x1))))) 0(3(1(x1))) -> 1(3(4(4(4(0(x1)))))) 0(3(2(x1))) -> 0(2(1(3(x1)))) 0(3(2(x1))) -> 0(2(3(4(x1)))) 0(3(2(x1))) -> 0(0(2(4(3(x1))))) 0(3(2(x1))) -> 0(2(1(4(3(x1))))) 0(3(2(x1))) -> 0(2(4(3(3(x1))))) 0(3(2(x1))) -> 0(2(1(3(3(4(x1)))))) 0(3(2(x1))) -> 0(2(3(4(5(5(x1)))))) 0(3(2(x1))) -> 2(4(4(3(4(0(x1)))))) 0(4(1(x1))) -> 0(1(4(4(x1)))) 0(4(1(x1))) -> 0(2(1(4(x1)))) 0(4(2(x1))) -> 0(2(1(4(x1)))) 0(4(2(x1))) -> 0(2(3(4(x1)))) 0(4(2(x1))) -> 0(2(4(3(x1)))) 2(0(1(x1))) -> 5(0(2(1(x1)))) 2(3(1(x1))) -> 1(3(5(2(x1)))) 2(3(1(x1))) -> 0(2(1(3(5(x1))))) 2(3(1(x1))) -> 1(4(3(5(2(x1))))) 0(2(0(1(x1)))) -> 5(0(0(2(1(x1))))) 0(3(1(1(x1)))) -> 0(1(4(1(3(4(x1)))))) 0(3(2(1(x1)))) -> 0(0(3(4(2(1(x1)))))) 0(3(2(2(x1)))) -> 1(3(4(0(2(2(x1)))))) 0(4(1(2(x1)))) -> 1(4(0(2(5(x1))))) 0(4(3(2(x1)))) -> 2(3(4(4(0(0(x1)))))) 0(5(3(1(x1)))) -> 0(1(4(3(5(4(x1)))))) 0(5(3(1(x1)))) -> 0(1(5(3(4(0(x1)))))) 0(5(3(2(x1)))) -> 0(2(4(5(3(x1))))) 0(5(3(2(x1)))) -> 0(2(5(3(3(x1))))) 2(0(3(1(x1)))) -> 2(0(1(3(5(2(x1)))))) 2(0(4(1(x1)))) -> 2(0(1(4(5(x1))))) 2(5(3(2(x1)))) -> 2(5(2(3(3(x1))))) 2(5(4(2(x1)))) -> 0(2(5(2(4(x1))))) 0(0(3(2(1(x1))))) -> 0(0(1(3(5(2(x1)))))) 0(1(0(3(2(x1))))) -> 0(1(4(3(2(0(x1)))))) 0(1(0(3(2(x1))))) -> 2(3(1(0(0(5(x1)))))) 0(3(2(5(1(x1))))) -> 0(2(5(1(3(3(x1)))))) 0(5(1(1(2(x1))))) -> 0(2(4(1(1(5(x1)))))) 0(5(1(2(2(x1))))) -> 0(2(5(2(1(2(x1)))))) 0(5(3(2(1(x1))))) -> 0(1(3(4(2(5(x1)))))) 0(5(5(3(2(x1))))) -> 0(2(5(1(3(5(x1)))))) 2(0(3(1(1(x1))))) -> 2(1(0(1(3(4(x1)))))) 2(2(0(3(1(x1))))) -> 1(3(0(2(5(2(x1)))))) 2(2(0(5(1(x1))))) -> 2(0(2(1(5(1(x1)))))) 2(5(5(4(1(x1))))) -> 5(5(2(1(3(4(x1)))))) Matrix Interpretation Processor: dim=4 interpretation: [2#](x0) = [0 1 1 1]x0, [1 0 0 0] [0 0 0 0] [5](x0) = [0 0 0 0]x0 [0 0 0 1] , [0 0 0 0] [0 0 0 0] [4](x0) = [0 0 0 0]x0 [0 0 0 1] , [1 0 0 0] [0] [1 0 1 0] [0] [3](x0) = [0 0 0 0]x0 + [0] [0 0 0 0] [1], [0 1 0 0] [0 1 0 0] [0](x0) = [0 0 0 1]x0 [0 0 0 0] , [0 1 1 0] [0 0 0 0] [1](x0) = [0 0 0 1]x0 [0 0 1 0] , [0 0 0 0] [0 1 0 0] [2](x0) = [0 0 1 1]x0 [0 0 0 0] orientation: 2#(3(1(x1))) = [0 1 1 1]x1 + [1] >= [0 1 1 1]x1 = 2#(x1) 2#(2(0(3(1(x1))))) = [0 1 1 1]x1 + [1] >= [0 1 1 1]x1 = 2#(x1) 2#(0(3(1(x1)))) = [0 1 1 1]x1 + [1] >= [0 1 1 1]x1 = 2#(x1) [0 0 0 0] [0] [0 0 0 0] [0] 0(1(2(x1))) = [0 0 1 1]x1 >= [0] = 0(0(2(1(x1)))) [0 0 0 0] [0] [0 0 0 0] [0] [0 0 0 0] [0] 0(1(2(x1))) = [0 0 1 1]x1 >= [0] = 0(2(1(3(x1)))) [0 0 0 0] [0] [0 0 0 0] [0] [0 0 0 0] [0] 0(1(2(x1))) = [0 0 1 1]x1 >= [0] = 0(0(2(1(4(4(x1)))))) [0 0 0 0] [0] [0 1 1 1] [0] [0] [0 1 1 1] [0] [0] 0(3(1(x1))) = [0 0 0 0]x1 + [1] >= [0] = 0(1(3(4(0(x1))))) [0 0 0 0] [0] [0] [0 1 1 1] [0] [0] [0 1 1 1] [0] [0] 0(3(1(x1))) = [0 0 0 0]x1 + [1] >= [0] = 0(1(3(4(4(x1))))) [0 0 0 0] [0] [0] [0 1 1 1] [0] [0] [0 1 1 1] [0] [0] 0(3(1(x1))) = [0 0 0 0]x1 + [1] >= [1] = 1(3(4(4(4(0(x1)))))) [0 0 0 0] [0] [0] [0 0 1 1] [0] [0] [0 0 1 1] [0] [0] 0(3(2(x1))) = [0 0 0 0]x1 + [1] >= [0] = 0(2(1(3(x1)))) [0 0 0 0] [0] [0] [0 0 1 1] [0] [0] [0 0 1 1] [0] [0] 0(3(2(x1))) = [0 0 0 0]x1 + [1] >= [0] = 0(2(3(4(x1)))) [0 0 0 0] [0] [0] [0 0 1 1] [0] [0] [0 0 1 1] [0] [0] 0(3(2(x1))) = [0 0 0 0]x1 + [1] >= [0] = 0(0(2(4(3(x1))))) [0 0 0 0] [0] [0] [0 0 1 1] [0] [0] [0 0 1 1] [0] [0] 0(3(2(x1))) = [0 0 0 0]x1 + [1] >= [0] = 0(2(1(4(3(x1))))) [0 0 0 0] [0] [0] [0 0 1 1] [0] [0] [0 0 1 1] [0] [0] 0(3(2(x1))) = [0 0 0 0]x1 + [1] >= [0] = 0(2(4(3(3(x1))))) [0 0 0 0] [0] [0] [0 0 1 1] [0] [0] [0 0 1 1] [0] [0] 0(3(2(x1))) = [0 0 0 0]x1 + [1] >= [0] = 0(2(1(3(3(4(x1)))))) [0 0 0 0] [0] [0] [0 0 1 1] [0] [0] [0 0 1 1] [0] [0] 0(3(2(x1))) = [0 0 0 0]x1 + [1] >= [0] = 0(2(3(4(5(5(x1)))))) [0 0 0 0] [0] [0] [0 0 1 1] [0] [0] [0 0 1 1] [0] [0] 0(3(2(x1))) = [0 0 0 0]x1 + [1] >= [1] = 2(4(4(3(4(0(x1)))))) [0 0 0 0] [0] [0] [0 0 0 0] [0] [0 0 0 0] [0] 0(4(1(x1))) = [0 0 1 0]x1 >= [0] = 0(1(4(4(x1)))) [0 0 0 0] [0] [0 0 0 0] [0] [0 0 0 0] [0] 0(4(1(x1))) = [0 0 1 0]x1 >= [0] = 0(2(1(4(x1)))) [0 0 0 0] [0] [0] [0] [0] [0] 0(4(2(x1))) = [0] >= [0] = 0(2(1(4(x1)))) [0] [0] [0] [0] [0] [0] 0(4(2(x1))) = [0] >= [0] = 0(2(3(4(x1)))) [0] [0] [0] [0] [0] [0] 0(4(2(x1))) = [0] >= [0] = 0(2(4(3(x1)))) [0] [0] [0 0 0 0] [0] [0 0 0 0] [0] 2(0(1(x1))) = [0 0 1 0]x1 >= [0] = 5(0(2(1(x1)))) [0 0 0 0] [0] [0 0 0 0] [0] [0] [0 1 1 1] [0] [0] 2(3(1(x1))) = [0 0 0 0]x1 + [1] >= [1] = 1(3(5(2(x1)))) [0 0 0 0] [0] [0] [0 0 0 0] [0] [0] [0 1 1 1] [0] [0] 2(3(1(x1))) = [0 0 0 0]x1 + [1] >= [0] = 0(2(1(3(5(x1))))) [0 0 0 0] [0] [0] [0 0 0 0] [0] [0] [0 1 1 1] [0] [0] 2(3(1(x1))) = [0 0 0 0]x1 + [1] >= [1] = 1(4(3(5(2(x1))))) [0 0 0 0] [0] [0] [0] [0] [0] [0] 0(2(0(1(x1)))) = [0] >= [0] = 5(0(0(2(1(x1))))) [0] [0] [0 0 1 1] [0] [0] [0 0 1 1] [0] [0] 0(3(1(1(x1)))) = [0 0 0 0]x1 + [1] >= [0] = 0(1(4(1(3(4(x1)))))) [0 0 0 0] [0] [0] [0 0 1 1] [0] [0] [0 0 1 1] [0] [0] 0(3(2(1(x1)))) = [0 0 0 0]x1 + [1] >= [0] = 0(0(3(4(2(1(x1)))))) [0 0 0 0] [0] [0] [0 0 1 1] [0] [0] [0 0 1 1] [0] [0] 0(3(2(2(x1)))) = [0 0 0 0]x1 + [1] >= [1] = 1(3(4(0(2(2(x1)))))) [0 0 0 0] [0] [0] [0 0 0 0] [0] [0 0 0 0] [0] 0(4(1(2(x1)))) = [0 0 1 1]x1 >= [0] = 1(4(0(2(5(x1))))) [0 0 0 0] [0] [0] [0] [0] [0] 0(4(3(2(x1)))) = [1] >= [1] = 2(3(4(4(0(0(x1)))))) [0] [0] [0] [0] [0] [0] 0(5(3(1(x1)))) = [1] >= [0] = 0(1(4(3(5(4(x1)))))) [0] [0] [0] [0] [0] [0] 0(5(3(1(x1)))) = [1] >= [0] = 0(1(5(3(4(0(x1)))))) [0] [0] [0] [0] [0] [0] 0(5(3(2(x1)))) = [1] >= [0] = 0(2(4(5(3(x1))))) [0] [0] [0] [0] [0] [0] 0(5(3(2(x1)))) = [1] >= [0] = 0(2(5(3(3(x1))))) [0] [0] [0 0 0 0] [0] [0] [0 1 1 1] [0] [0] 2(0(3(1(x1)))) = [0 0 0 0]x1 + [1] >= [0] = 2(0(1(3(5(2(x1)))))) [0 0 0 0] [0] [0] [0 0 0 0] [0] [0 0 0 0] [0] 2(0(4(1(x1)))) = [0 0 1 0]x1 >= [0] = 2(0(1(4(5(x1))))) [0 0 0 0] [0] [0] [0] [0] [0] 2(5(3(2(x1)))) = [1] >= [0] = 2(5(2(3(3(x1))))) [0] [0] [0] [0] [0] [0] 2(5(4(2(x1)))) = [0] >= [0] = 0(2(5(2(4(x1))))) [0] [0] [0 0 1 1] [0] [0 0 1 1] [0] 0(0(3(2(1(x1))))) = [0 0 0 0]x1 >= [0] = 0(0(1(3(5(2(x1)))))) [0 0 0 0] [0] [0] [0] [0] [0] 0(1(0(3(2(x1))))) = [1] >= [0] = 0(1(4(3(2(0(x1)))))) [0] [0] [0] [0] [0] [0] 0(1(0(3(2(x1))))) = [1] >= [1] = 2(3(1(0(0(5(x1)))))) [0] [0] [0 0 1 0] [0] [0] [0 0 1 0] [0] [0] 0(3(2(5(1(x1))))) = [0 0 0 0]x1 + [1] >= [0] = 0(2(5(1(3(3(x1)))))) [0 0 0 0] [0] [0] [0] [0] [0] [0] 0(5(1(1(2(x1))))) = [0] >= [0] = 0(2(4(1(1(5(x1)))))) [0] [0] [0 0 0 0] [0] [0 0 0 0] [0] 0(5(1(2(2(x1))))) = [0 0 1 1]x1 >= [0] = 0(2(5(2(1(2(x1)))))) [0 0 0 0] [0] [0] [0] [0] [0] 0(5(3(2(1(x1))))) = [1] >= [0] = 0(1(3(4(2(5(x1)))))) [0] [0] [0] [0] [0] [0] 0(5(5(3(2(x1))))) = [1] >= [0] = 0(2(5(1(3(5(x1)))))) [0] [0] [0 0 0 0] [0] [0] [0 0 1 1] [0] [0] 2(0(3(1(1(x1))))) = [0 0 0 0]x1 + [1] >= [0] = 2(1(0(1(3(4(x1)))))) [0 0 0 0] [0] [0] [0 0 0 0] [0] [0] [0 1 1 1] [0] [0] 2(2(0(3(1(x1))))) = [0 0 0 0]x1 + [1] >= [1] = 1(3(0(2(5(2(x1)))))) [0 0 0 0] [0] [0] [0 0 0 0] [0] [0 0 0 0] [0] 2(2(0(5(1(x1))))) = [0 0 1 0]x1 >= [0] = 2(0(2(1(5(1(x1)))))) [0 0 0 0] [0] [0 0 0 0] [0] [0 0 0 0] [0] 2(5(5(4(1(x1))))) = [0 0 1 0]x1 >= [0] = 5(5(2(1(3(4(x1)))))) [0 0 0 0] [0] problem: DPs: TRS: 0(1(2(x1))) -> 0(0(2(1(x1)))) 0(1(2(x1))) -> 0(2(1(3(x1)))) 0(1(2(x1))) -> 0(0(2(1(4(4(x1)))))) 0(3(1(x1))) -> 0(1(3(4(0(x1))))) 0(3(1(x1))) -> 0(1(3(4(4(x1))))) 0(3(1(x1))) -> 1(3(4(4(4(0(x1)))))) 0(3(2(x1))) -> 0(2(1(3(x1)))) 0(3(2(x1))) -> 0(2(3(4(x1)))) 0(3(2(x1))) -> 0(0(2(4(3(x1))))) 0(3(2(x1))) -> 0(2(1(4(3(x1))))) 0(3(2(x1))) -> 0(2(4(3(3(x1))))) 0(3(2(x1))) -> 0(2(1(3(3(4(x1)))))) 0(3(2(x1))) -> 0(2(3(4(5(5(x1)))))) 0(3(2(x1))) -> 2(4(4(3(4(0(x1)))))) 0(4(1(x1))) -> 0(1(4(4(x1)))) 0(4(1(x1))) -> 0(2(1(4(x1)))) 0(4(2(x1))) -> 0(2(1(4(x1)))) 0(4(2(x1))) -> 0(2(3(4(x1)))) 0(4(2(x1))) -> 0(2(4(3(x1)))) 2(0(1(x1))) -> 5(0(2(1(x1)))) 2(3(1(x1))) -> 1(3(5(2(x1)))) 2(3(1(x1))) -> 0(2(1(3(5(x1))))) 2(3(1(x1))) -> 1(4(3(5(2(x1))))) 0(2(0(1(x1)))) -> 5(0(0(2(1(x1))))) 0(3(1(1(x1)))) -> 0(1(4(1(3(4(x1)))))) 0(3(2(1(x1)))) -> 0(0(3(4(2(1(x1)))))) 0(3(2(2(x1)))) -> 1(3(4(0(2(2(x1)))))) 0(4(1(2(x1)))) -> 1(4(0(2(5(x1))))) 0(4(3(2(x1)))) -> 2(3(4(4(0(0(x1)))))) 0(5(3(1(x1)))) -> 0(1(4(3(5(4(x1)))))) 0(5(3(1(x1)))) -> 0(1(5(3(4(0(x1)))))) 0(5(3(2(x1)))) -> 0(2(4(5(3(x1))))) 0(5(3(2(x1)))) -> 0(2(5(3(3(x1))))) 2(0(3(1(x1)))) -> 2(0(1(3(5(2(x1)))))) 2(0(4(1(x1)))) -> 2(0(1(4(5(x1))))) 2(5(3(2(x1)))) -> 2(5(2(3(3(x1))))) 2(5(4(2(x1)))) -> 0(2(5(2(4(x1))))) 0(0(3(2(1(x1))))) -> 0(0(1(3(5(2(x1)))))) 0(1(0(3(2(x1))))) -> 0(1(4(3(2(0(x1)))))) 0(1(0(3(2(x1))))) -> 2(3(1(0(0(5(x1)))))) 0(3(2(5(1(x1))))) -> 0(2(5(1(3(3(x1)))))) 0(5(1(1(2(x1))))) -> 0(2(4(1(1(5(x1)))))) 0(5(1(2(2(x1))))) -> 0(2(5(2(1(2(x1)))))) 0(5(3(2(1(x1))))) -> 0(1(3(4(2(5(x1)))))) 0(5(5(3(2(x1))))) -> 0(2(5(1(3(5(x1)))))) 2(0(3(1(1(x1))))) -> 2(1(0(1(3(4(x1)))))) 2(2(0(3(1(x1))))) -> 1(3(0(2(5(2(x1)))))) 2(2(0(5(1(x1))))) -> 2(0(2(1(5(1(x1)))))) 2(5(5(4(1(x1))))) -> 5(5(2(1(3(4(x1)))))) Qed