YES Problem: 0(1(2(x1))) -> 0(2(1(1(x1)))) 0(1(2(x1))) -> 0(2(1(3(x1)))) 0(1(2(x1))) -> 0(2(1(1(3(x1))))) 0(1(2(x1))) -> 0(2(4(1(1(x1))))) 0(1(2(x1))) -> 0(2(4(1(3(x1))))) 0(3(2(x1))) -> 0(2(1(3(x1)))) 0(3(2(x1))) -> 0(2(1(1(3(x1))))) 0(3(2(x1))) -> 0(0(2(1(1(3(x1)))))) 0(1(1(2(x1)))) -> 0(2(1(1(3(x1))))) 0(1(2(2(x1)))) -> 0(2(2(1(1(x1))))) 0(1(2(2(x1)))) -> 0(2(3(2(1(x1))))) 0(1(3(2(x1)))) -> 0(2(1(4(3(x1))))) 0(1(3(2(x1)))) -> 3(3(0(2(1(x1))))) 0(1(3(2(x1)))) -> 3(0(2(4(1(1(x1)))))) 0(1(5(2(x1)))) -> 5(0(2(1(1(x1))))) 0(3(2(2(x1)))) -> 0(0(2(3(2(x1))))) 0(3(2(2(x1)))) -> 0(0(4(2(3(2(x1)))))) 2(0(3(2(x1)))) -> 1(3(0(2(2(x1))))) 3(0(3(2(x1)))) -> 3(0(0(0(2(3(x1)))))) 3(1(5(2(x1)))) -> 0(2(1(5(3(x1))))) 3(3(5(2(x1)))) -> 3(0(2(1(5(3(x1)))))) 4(5(2(2(x1)))) -> 2(5(0(2(4(1(x1)))))) 5(0(1(2(x1)))) -> 0(2(1(3(4(5(x1)))))) 5(0(2(2(x1)))) -> 2(0(2(4(1(5(x1)))))) 5(0(3(2(x1)))) -> 3(0(2(1(4(5(x1)))))) 5(1(2(2(x1)))) -> 0(2(1(5(2(1(x1)))))) 5(1(2(2(x1)))) -> 2(1(5(2(1(1(x1)))))) 0(1(2(4(2(x1))))) -> 4(2(1(0(2(1(x1)))))) 0(1(2(5(2(x1))))) -> 2(0(2(1(5(4(x1)))))) 0(1(5(1(2(x1))))) -> 1(0(2(1(1(5(x1)))))) 0(1(5(5(2(x1))))) -> 0(2(1(5(5(1(x1)))))) 0(5(0(1(2(x1))))) -> 0(4(5(0(2(1(x1)))))) 0(5(0(3(2(x1))))) -> 0(5(0(0(2(3(x1)))))) 0(5(5(2(2(x1))))) -> 0(2(1(5(5(2(x1)))))) 3(0(3(1(2(x1))))) -> 1(3(3(0(2(3(x1)))))) 3(0(3(4(2(x1))))) -> 1(3(4(0(2(3(x1)))))) 4(5(1(4(2(x1))))) -> 2(4(4(4(1(5(x1)))))) 5(0(1(3(2(x1))))) -> 3(5(0(2(1(3(x1)))))) 5(0(3(1(2(x1))))) -> 0(2(1(4(3(5(x1)))))) 5(0(4(2(2(x1))))) -> 2(0(2(4(1(5(x1)))))) 5(1(0(3(2(x1))))) -> 0(4(3(5(1(2(x1)))))) 5(1(0(3(2(x1))))) -> 5(3(1(1(0(2(x1)))))) 5(1(0(5(2(x1))))) -> 3(5(5(0(2(1(x1)))))) 5(1(0(5(2(x1))))) -> 5(0(2(1(5(5(x1)))))) 5(2(0(3(2(x1))))) -> 0(2(5(2(3(1(x1)))))) Proof: DP Processor: DPs: 0#(1(2(x1))) -> 2#(1(1(x1))) 0#(1(2(x1))) -> 0#(2(1(1(x1)))) 0#(1(2(x1))) -> 3#(x1) 0#(1(2(x1))) -> 2#(1(3(x1))) 0#(1(2(x1))) -> 0#(2(1(3(x1)))) 0#(1(2(x1))) -> 2#(1(1(3(x1)))) 0#(1(2(x1))) -> 0#(2(1(1(3(x1))))) 0#(1(2(x1))) -> 4#(1(1(x1))) 0#(1(2(x1))) -> 2#(4(1(1(x1)))) 0#(1(2(x1))) -> 0#(2(4(1(1(x1))))) 0#(1(2(x1))) -> 4#(1(3(x1))) 0#(1(2(x1))) -> 2#(4(1(3(x1)))) 0#(1(2(x1))) -> 0#(2(4(1(3(x1))))) 0#(3(2(x1))) -> 3#(x1) 0#(3(2(x1))) -> 2#(1(3(x1))) 0#(3(2(x1))) -> 0#(2(1(3(x1)))) 0#(3(2(x1))) -> 2#(1(1(3(x1)))) 0#(3(2(x1))) -> 0#(2(1(1(3(x1))))) 0#(3(2(x1))) -> 0#(0(2(1(1(3(x1)))))) 0#(1(1(2(x1)))) -> 3#(x1) 0#(1(1(2(x1)))) -> 2#(1(1(3(x1)))) 0#(1(1(2(x1)))) -> 0#(2(1(1(3(x1))))) 0#(1(2(2(x1)))) -> 2#(1(1(x1))) 0#(1(2(2(x1)))) -> 2#(2(1(1(x1)))) 0#(1(2(2(x1)))) -> 0#(2(2(1(1(x1))))) 0#(1(2(2(x1)))) -> 2#(1(x1)) 0#(1(2(2(x1)))) -> 3#(2(1(x1))) 0#(1(2(2(x1)))) -> 2#(3(2(1(x1)))) 0#(1(2(2(x1)))) -> 0#(2(3(2(1(x1))))) 0#(1(3(2(x1)))) -> 3#(x1) 0#(1(3(2(x1)))) -> 4#(3(x1)) 0#(1(3(2(x1)))) -> 2#(1(4(3(x1)))) 0#(1(3(2(x1)))) -> 0#(2(1(4(3(x1))))) 0#(1(3(2(x1)))) -> 2#(1(x1)) 0#(1(3(2(x1)))) -> 0#(2(1(x1))) 0#(1(3(2(x1)))) -> 3#(0(2(1(x1)))) 0#(1(3(2(x1)))) -> 3#(3(0(2(1(x1))))) 0#(1(3(2(x1)))) -> 4#(1(1(x1))) 0#(1(3(2(x1)))) -> 2#(4(1(1(x1)))) 0#(1(3(2(x1)))) -> 0#(2(4(1(1(x1))))) 0#(1(3(2(x1)))) -> 3#(0(2(4(1(1(x1)))))) 0#(1(5(2(x1)))) -> 2#(1(1(x1))) 0#(1(5(2(x1)))) -> 0#(2(1(1(x1)))) 0#(1(5(2(x1)))) -> 5#(0(2(1(1(x1))))) 0#(3(2(2(x1)))) -> 3#(2(x1)) 0#(3(2(2(x1)))) -> 2#(3(2(x1))) 0#(3(2(2(x1)))) -> 0#(2(3(2(x1)))) 0#(3(2(2(x1)))) -> 0#(0(2(3(2(x1))))) 0#(3(2(2(x1)))) -> 4#(2(3(2(x1)))) 0#(3(2(2(x1)))) -> 0#(4(2(3(2(x1))))) 0#(3(2(2(x1)))) -> 0#(0(4(2(3(2(x1)))))) 2#(0(3(2(x1)))) -> 2#(2(x1)) 2#(0(3(2(x1)))) -> 0#(2(2(x1))) 2#(0(3(2(x1)))) -> 3#(0(2(2(x1)))) 3#(0(3(2(x1)))) -> 3#(x1) 3#(0(3(2(x1)))) -> 2#(3(x1)) 3#(0(3(2(x1)))) -> 0#(2(3(x1))) 3#(0(3(2(x1)))) -> 0#(0(2(3(x1)))) 3#(0(3(2(x1)))) -> 0#(0(0(2(3(x1))))) 3#(0(3(2(x1)))) -> 3#(0(0(0(2(3(x1)))))) 3#(1(5(2(x1)))) -> 3#(x1) 3#(1(5(2(x1)))) -> 5#(3(x1)) 3#(1(5(2(x1)))) -> 2#(1(5(3(x1)))) 3#(1(5(2(x1)))) -> 0#(2(1(5(3(x1))))) 3#(3(5(2(x1)))) -> 3#(x1) 3#(3(5(2(x1)))) -> 5#(3(x1)) 3#(3(5(2(x1)))) -> 2#(1(5(3(x1)))) 3#(3(5(2(x1)))) -> 0#(2(1(5(3(x1))))) 3#(3(5(2(x1)))) -> 3#(0(2(1(5(3(x1)))))) 4#(5(2(2(x1)))) -> 4#(1(x1)) 4#(5(2(2(x1)))) -> 2#(4(1(x1))) 4#(5(2(2(x1)))) -> 0#(2(4(1(x1)))) 4#(5(2(2(x1)))) -> 5#(0(2(4(1(x1))))) 4#(5(2(2(x1)))) -> 2#(5(0(2(4(1(x1)))))) 5#(0(1(2(x1)))) -> 5#(x1) 5#(0(1(2(x1)))) -> 4#(5(x1)) 5#(0(1(2(x1)))) -> 3#(4(5(x1))) 5#(0(1(2(x1)))) -> 2#(1(3(4(5(x1))))) 5#(0(1(2(x1)))) -> 0#(2(1(3(4(5(x1)))))) 5#(0(2(2(x1)))) -> 5#(x1) 5#(0(2(2(x1)))) -> 4#(1(5(x1))) 5#(0(2(2(x1)))) -> 2#(4(1(5(x1)))) 5#(0(2(2(x1)))) -> 0#(2(4(1(5(x1))))) 5#(0(2(2(x1)))) -> 2#(0(2(4(1(5(x1)))))) 5#(0(3(2(x1)))) -> 5#(x1) 5#(0(3(2(x1)))) -> 4#(5(x1)) 5#(0(3(2(x1)))) -> 2#(1(4(5(x1)))) 5#(0(3(2(x1)))) -> 0#(2(1(4(5(x1))))) 5#(0(3(2(x1)))) -> 3#(0(2(1(4(5(x1)))))) 5#(1(2(2(x1)))) -> 2#(1(x1)) 5#(1(2(2(x1)))) -> 5#(2(1(x1))) 5#(1(2(2(x1)))) -> 2#(1(5(2(1(x1))))) 5#(1(2(2(x1)))) -> 0#(2(1(5(2(1(x1)))))) 5#(1(2(2(x1)))) -> 2#(1(1(x1))) 5#(1(2(2(x1)))) -> 5#(2(1(1(x1)))) 5#(1(2(2(x1)))) -> 2#(1(5(2(1(1(x1)))))) 0#(1(2(4(2(x1))))) -> 2#(1(x1)) 0#(1(2(4(2(x1))))) -> 0#(2(1(x1))) 0#(1(2(4(2(x1))))) -> 2#(1(0(2(1(x1))))) 0#(1(2(4(2(x1))))) -> 4#(2(1(0(2(1(x1)))))) 0#(1(2(5(2(x1))))) -> 4#(x1) 0#(1(2(5(2(x1))))) -> 5#(4(x1)) 0#(1(2(5(2(x1))))) -> 2#(1(5(4(x1)))) 0#(1(2(5(2(x1))))) -> 0#(2(1(5(4(x1))))) 0#(1(2(5(2(x1))))) -> 2#(0(2(1(5(4(x1)))))) 0#(1(5(1(2(x1))))) -> 5#(x1) 0#(1(5(1(2(x1))))) -> 2#(1(1(5(x1)))) 0#(1(5(1(2(x1))))) -> 0#(2(1(1(5(x1))))) 0#(1(5(5(2(x1))))) -> 5#(1(x1)) 0#(1(5(5(2(x1))))) -> 5#(5(1(x1))) 0#(1(5(5(2(x1))))) -> 2#(1(5(5(1(x1))))) 0#(1(5(5(2(x1))))) -> 0#(2(1(5(5(1(x1)))))) 0#(5(0(1(2(x1))))) -> 2#(1(x1)) 0#(5(0(1(2(x1))))) -> 0#(2(1(x1))) 0#(5(0(1(2(x1))))) -> 5#(0(2(1(x1)))) 0#(5(0(1(2(x1))))) -> 4#(5(0(2(1(x1))))) 0#(5(0(1(2(x1))))) -> 0#(4(5(0(2(1(x1)))))) 0#(5(0(3(2(x1))))) -> 3#(x1) 0#(5(0(3(2(x1))))) -> 2#(3(x1)) 0#(5(0(3(2(x1))))) -> 0#(2(3(x1))) 0#(5(0(3(2(x1))))) -> 0#(0(2(3(x1)))) 0#(5(0(3(2(x1))))) -> 5#(0(0(2(3(x1))))) 0#(5(0(3(2(x1))))) -> 0#(5(0(0(2(3(x1)))))) 0#(5(5(2(2(x1))))) -> 5#(2(x1)) 0#(5(5(2(2(x1))))) -> 5#(5(2(x1))) 0#(5(5(2(2(x1))))) -> 2#(1(5(5(2(x1))))) 0#(5(5(2(2(x1))))) -> 0#(2(1(5(5(2(x1)))))) 3#(0(3(1(2(x1))))) -> 3#(x1) 3#(0(3(1(2(x1))))) -> 2#(3(x1)) 3#(0(3(1(2(x1))))) -> 0#(2(3(x1))) 3#(0(3(1(2(x1))))) -> 3#(0(2(3(x1)))) 3#(0(3(1(2(x1))))) -> 3#(3(0(2(3(x1))))) 3#(0(3(4(2(x1))))) -> 3#(x1) 3#(0(3(4(2(x1))))) -> 2#(3(x1)) 3#(0(3(4(2(x1))))) -> 0#(2(3(x1))) 3#(0(3(4(2(x1))))) -> 4#(0(2(3(x1)))) 3#(0(3(4(2(x1))))) -> 3#(4(0(2(3(x1))))) 4#(5(1(4(2(x1))))) -> 5#(x1) 4#(5(1(4(2(x1))))) -> 4#(1(5(x1))) 4#(5(1(4(2(x1))))) -> 4#(4(1(5(x1)))) 4#(5(1(4(2(x1))))) -> 4#(4(4(1(5(x1))))) 4#(5(1(4(2(x1))))) -> 2#(4(4(4(1(5(x1)))))) 5#(0(1(3(2(x1))))) -> 3#(x1) 5#(0(1(3(2(x1))))) -> 2#(1(3(x1))) 5#(0(1(3(2(x1))))) -> 0#(2(1(3(x1)))) 5#(0(1(3(2(x1))))) -> 5#(0(2(1(3(x1))))) 5#(0(1(3(2(x1))))) -> 3#(5(0(2(1(3(x1)))))) 5#(0(3(1(2(x1))))) -> 5#(x1) 5#(0(3(1(2(x1))))) -> 3#(5(x1)) 5#(0(3(1(2(x1))))) -> 4#(3(5(x1))) 5#(0(3(1(2(x1))))) -> 2#(1(4(3(5(x1))))) 5#(0(3(1(2(x1))))) -> 0#(2(1(4(3(5(x1)))))) 5#(0(4(2(2(x1))))) -> 5#(x1) 5#(0(4(2(2(x1))))) -> 4#(1(5(x1))) 5#(0(4(2(2(x1))))) -> 2#(4(1(5(x1)))) 5#(0(4(2(2(x1))))) -> 0#(2(4(1(5(x1))))) 5#(0(4(2(2(x1))))) -> 2#(0(2(4(1(5(x1)))))) 5#(1(0(3(2(x1))))) -> 5#(1(2(x1))) 5#(1(0(3(2(x1))))) -> 3#(5(1(2(x1)))) 5#(1(0(3(2(x1))))) -> 4#(3(5(1(2(x1))))) 5#(1(0(3(2(x1))))) -> 0#(4(3(5(1(2(x1)))))) 5#(1(0(3(2(x1))))) -> 0#(2(x1)) 5#(1(0(3(2(x1))))) -> 3#(1(1(0(2(x1))))) 5#(1(0(3(2(x1))))) -> 5#(3(1(1(0(2(x1)))))) 5#(1(0(5(2(x1))))) -> 2#(1(x1)) 5#(1(0(5(2(x1))))) -> 0#(2(1(x1))) 5#(1(0(5(2(x1))))) -> 5#(0(2(1(x1)))) 5#(1(0(5(2(x1))))) -> 5#(5(0(2(1(x1))))) 5#(1(0(5(2(x1))))) -> 3#(5(5(0(2(1(x1)))))) 5#(1(0(5(2(x1))))) -> 5#(x1) 5#(1(0(5(2(x1))))) -> 5#(5(x1)) 5#(1(0(5(2(x1))))) -> 2#(1(5(5(x1)))) 5#(1(0(5(2(x1))))) -> 0#(2(1(5(5(x1))))) 5#(1(0(5(2(x1))))) -> 5#(0(2(1(5(5(x1)))))) 5#(2(0(3(2(x1))))) -> 3#(1(x1)) 5#(2(0(3(2(x1))))) -> 2#(3(1(x1))) 5#(2(0(3(2(x1))))) -> 5#(2(3(1(x1)))) 5#(2(0(3(2(x1))))) -> 2#(5(2(3(1(x1))))) 5#(2(0(3(2(x1))))) -> 0#(2(5(2(3(1(x1)))))) TRS: 0(1(2(x1))) -> 0(2(1(1(x1)))) 0(1(2(x1))) -> 0(2(1(3(x1)))) 0(1(2(x1))) -> 0(2(1(1(3(x1))))) 0(1(2(x1))) -> 0(2(4(1(1(x1))))) 0(1(2(x1))) -> 0(2(4(1(3(x1))))) 0(3(2(x1))) -> 0(2(1(3(x1)))) 0(3(2(x1))) -> 0(2(1(1(3(x1))))) 0(3(2(x1))) -> 0(0(2(1(1(3(x1)))))) 0(1(1(2(x1)))) -> 0(2(1(1(3(x1))))) 0(1(2(2(x1)))) -> 0(2(2(1(1(x1))))) 0(1(2(2(x1)))) -> 0(2(3(2(1(x1))))) 0(1(3(2(x1)))) -> 0(2(1(4(3(x1))))) 0(1(3(2(x1)))) -> 3(3(0(2(1(x1))))) 0(1(3(2(x1)))) -> 3(0(2(4(1(1(x1)))))) 0(1(5(2(x1)))) -> 5(0(2(1(1(x1))))) 0(3(2(2(x1)))) -> 0(0(2(3(2(x1))))) 0(3(2(2(x1)))) -> 0(0(4(2(3(2(x1)))))) 2(0(3(2(x1)))) -> 1(3(0(2(2(x1))))) 3(0(3(2(x1)))) -> 3(0(0(0(2(3(x1)))))) 3(1(5(2(x1)))) -> 0(2(1(5(3(x1))))) 3(3(5(2(x1)))) -> 3(0(2(1(5(3(x1)))))) 4(5(2(2(x1)))) -> 2(5(0(2(4(1(x1)))))) 5(0(1(2(x1)))) -> 0(2(1(3(4(5(x1)))))) 5(0(2(2(x1)))) -> 2(0(2(4(1(5(x1)))))) 5(0(3(2(x1)))) -> 3(0(2(1(4(5(x1)))))) 5(1(2(2(x1)))) -> 0(2(1(5(2(1(x1)))))) 5(1(2(2(x1)))) -> 2(1(5(2(1(1(x1)))))) 0(1(2(4(2(x1))))) -> 4(2(1(0(2(1(x1)))))) 0(1(2(5(2(x1))))) -> 2(0(2(1(5(4(x1)))))) 0(1(5(1(2(x1))))) -> 1(0(2(1(1(5(x1)))))) 0(1(5(5(2(x1))))) -> 0(2(1(5(5(1(x1)))))) 0(5(0(1(2(x1))))) -> 0(4(5(0(2(1(x1)))))) 0(5(0(3(2(x1))))) -> 0(5(0(0(2(3(x1)))))) 0(5(5(2(2(x1))))) -> 0(2(1(5(5(2(x1)))))) 3(0(3(1(2(x1))))) -> 1(3(3(0(2(3(x1)))))) 3(0(3(4(2(x1))))) -> 1(3(4(0(2(3(x1)))))) 4(5(1(4(2(x1))))) -> 2(4(4(4(1(5(x1)))))) 5(0(1(3(2(x1))))) -> 3(5(0(2(1(3(x1)))))) 5(0(3(1(2(x1))))) -> 0(2(1(4(3(5(x1)))))) 5(0(4(2(2(x1))))) -> 2(0(2(4(1(5(x1)))))) 5(1(0(3(2(x1))))) -> 0(4(3(5(1(2(x1)))))) 5(1(0(3(2(x1))))) -> 5(3(1(1(0(2(x1)))))) 5(1(0(5(2(x1))))) -> 3(5(5(0(2(1(x1)))))) 5(1(0(5(2(x1))))) -> 5(0(2(1(5(5(x1)))))) 5(2(0(3(2(x1))))) -> 0(2(5(2(3(1(x1)))))) Matrix Interpretation Processor: dim=3 interpretation: [5#](x0) = [1 0 0]x0, [4#](x0) = [1 0 0]x0, [3#](x0) = [1 0 0]x0, [2#](x0) = [1 0 0]x0, [0#](x0) = [0 0 1]x0, [1 0 0] [5](x0) = [0 0 0]x0 [1 0 0] , [1 0 0] [4](x0) = [0 0 0]x0 [1 0 0] , [1 0 0] [0] [3](x0) = [0 0 0]x0 + [0] [1 0 0] [1], [0 0 1] [0](x0) = [0 0 0]x0 [1 0 0] , [1 0 0] [1](x0) = [0 0 0]x0 [1 0 0] , [1 0 0] [1] [2](x0) = [0 0 0]x0 + [0] [1 0 0] [0] orientation: 0#(1(2(x1))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 2#(1(1(x1))) 0#(1(2(x1))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 0#(2(1(1(x1)))) 0#(1(2(x1))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 3#(x1) 0#(1(2(x1))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 2#(1(3(x1))) 0#(1(2(x1))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 0#(2(1(3(x1)))) 0#(1(2(x1))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 2#(1(1(3(x1)))) 0#(1(2(x1))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 0#(2(1(1(3(x1))))) 0#(1(2(x1))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 4#(1(1(x1))) 0#(1(2(x1))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 2#(4(1(1(x1)))) 0#(1(2(x1))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 0#(2(4(1(1(x1))))) 0#(1(2(x1))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 4#(1(3(x1))) 0#(1(2(x1))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 2#(4(1(3(x1)))) 0#(1(2(x1))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 0#(2(4(1(3(x1))))) 0#(3(2(x1))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 3#(x1) 0#(3(2(x1))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 2#(1(3(x1))) 0#(3(2(x1))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 0#(2(1(3(x1)))) 0#(3(2(x1))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 2#(1(1(3(x1)))) 0#(3(2(x1))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 0#(2(1(1(3(x1))))) 0#(3(2(x1))) = [1 0 0]x1 + [2] >= [1 0 0]x1 + [1] = 0#(0(2(1(1(3(x1)))))) 0#(1(1(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 3#(x1) 0#(1(1(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 2#(1(1(3(x1)))) 0#(1(1(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 0#(2(1(1(3(x1))))) 0#(1(2(2(x1)))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 2#(1(1(x1))) 0#(1(2(2(x1)))) = [1 0 0]x1 + [2] >= [1 0 0]x1 + [1] = 2#(2(1(1(x1)))) 0#(1(2(2(x1)))) = [1 0 0]x1 + [2] >= [1 0 0]x1 + [1] = 0#(2(2(1(1(x1))))) 0#(1(2(2(x1)))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 2#(1(x1)) 0#(1(2(2(x1)))) = [1 0 0]x1 + [2] >= [1 0 0]x1 + [1] = 3#(2(1(x1))) 0#(1(2(2(x1)))) = [1 0 0]x1 + [2] >= [1 0 0]x1 + [1] = 2#(3(2(1(x1)))) 0#(1(2(2(x1)))) = [1 0 0]x1 + [2] >= [1 0 0]x1 + [1] = 0#(2(3(2(1(x1))))) 0#(1(3(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 3#(x1) 0#(1(3(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 4#(3(x1)) 0#(1(3(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 2#(1(4(3(x1)))) 0#(1(3(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 0#(2(1(4(3(x1))))) 0#(1(3(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 2#(1(x1)) 0#(1(3(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 0#(2(1(x1))) 0#(1(3(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 3#(0(2(1(x1)))) 0#(1(3(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 3#(3(0(2(1(x1))))) 0#(1(3(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 4#(1(1(x1))) 0#(1(3(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 2#(4(1(1(x1)))) 0#(1(3(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 0#(2(4(1(1(x1))))) 0#(1(3(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 3#(0(2(4(1(1(x1)))))) 0#(1(5(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 2#(1(1(x1))) 0#(1(5(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 0#(2(1(1(x1)))) 0#(1(5(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 5#(0(2(1(1(x1))))) 0#(3(2(2(x1)))) = [1 0 0]x1 + [3] >= [1 0 0]x1 + [1] = 3#(2(x1)) 0#(3(2(2(x1)))) = [1 0 0]x1 + [3] >= [1 0 0]x1 + [1] = 2#(3(2(x1))) 0#(3(2(2(x1)))) = [1 0 0]x1 + [3] >= [1 0 0]x1 + [1] = 0#(2(3(2(x1)))) 0#(3(2(2(x1)))) = [1 0 0]x1 + [3] >= [1 0 0]x1 + [2] = 0#(0(2(3(2(x1))))) 0#(3(2(2(x1)))) = [1 0 0]x1 + [3] >= [1 0 0]x1 + [2] = 4#(2(3(2(x1)))) 0#(3(2(2(x1)))) = [1 0 0]x1 + [3] >= [1 0 0]x1 + [2] = 0#(4(2(3(2(x1))))) 0#(3(2(2(x1)))) = [1 0 0]x1 + [3] >= [1 0 0]x1 + [2] = 0#(0(4(2(3(2(x1)))))) 2#(0(3(2(x1)))) = [1 0 0]x1 + [2] >= [1 0 0]x1 + [1] = 2#(2(x1)) 2#(0(3(2(x1)))) = [1 0 0]x1 + [2] >= [1 0 0]x1 + [1] = 0#(2(2(x1))) 2#(0(3(2(x1)))) = [1 0 0]x1 + [2] >= [1 0 0]x1 + [1] = 3#(0(2(2(x1)))) 3#(0(3(2(x1)))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 3#(x1) 3#(0(3(2(x1)))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 2#(3(x1)) 3#(0(3(2(x1)))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 0#(2(3(x1))) 3#(0(3(2(x1)))) = [1 0 0]x1 + [2] >= [1 0 0]x1 + [1] = 0#(0(2(3(x1)))) 3#(0(3(2(x1)))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 0#(0(0(2(3(x1))))) 3#(0(3(2(x1)))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 3#(0(0(0(2(3(x1)))))) 3#(1(5(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 3#(x1) 3#(1(5(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 5#(3(x1)) 3#(1(5(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 2#(1(5(3(x1)))) 3#(1(5(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 0#(2(1(5(3(x1))))) 3#(3(5(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 3#(x1) 3#(3(5(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 5#(3(x1)) 3#(3(5(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 2#(1(5(3(x1)))) 3#(3(5(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 0#(2(1(5(3(x1))))) 3#(3(5(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 3#(0(2(1(5(3(x1)))))) 4#(5(2(2(x1)))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 4#(1(x1)) 4#(5(2(2(x1)))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 2#(4(1(x1))) 4#(5(2(2(x1)))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 0#(2(4(1(x1)))) 4#(5(2(2(x1)))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 5#(0(2(4(1(x1))))) 4#(5(2(2(x1)))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 2#(5(0(2(4(1(x1)))))) 5#(0(1(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 5#(x1) 5#(0(1(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 4#(5(x1)) 5#(0(1(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 3#(4(5(x1))) 5#(0(1(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 2#(1(3(4(5(x1))))) 5#(0(1(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 0#(2(1(3(4(5(x1)))))) 5#(0(2(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 5#(x1) 5#(0(2(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 4#(1(5(x1))) 5#(0(2(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 2#(4(1(5(x1)))) 5#(0(2(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 0#(2(4(1(5(x1))))) 5#(0(2(2(x1)))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 2#(0(2(4(1(5(x1)))))) 5#(0(3(2(x1)))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 5#(x1) 5#(0(3(2(x1)))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 4#(5(x1)) 5#(0(3(2(x1)))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 2#(1(4(5(x1)))) 5#(0(3(2(x1)))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 0#(2(1(4(5(x1))))) 5#(0(3(2(x1)))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 3#(0(2(1(4(5(x1)))))) 5#(1(2(2(x1)))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 2#(1(x1)) 5#(1(2(2(x1)))) = [1 0 0]x1 + [2] >= [1 0 0]x1 + [1] = 5#(2(1(x1))) 5#(1(2(2(x1)))) = [1 0 0]x1 + [2] >= [1 0 0]x1 + [1] = 2#(1(5(2(1(x1))))) 5#(1(2(2(x1)))) = [1 0 0]x1 + [2] >= [1 0 0]x1 + [1] = 0#(2(1(5(2(1(x1)))))) 5#(1(2(2(x1)))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 2#(1(1(x1))) 5#(1(2(2(x1)))) = [1 0 0]x1 + [2] >= [1 0 0]x1 + [1] = 5#(2(1(1(x1)))) 5#(1(2(2(x1)))) = [1 0 0]x1 + [2] >= [1 0 0]x1 + [1] = 2#(1(5(2(1(1(x1)))))) 0#(1(2(4(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 2#(1(x1)) 0#(1(2(4(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 0#(2(1(x1))) 0#(1(2(4(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 2#(1(0(2(1(x1))))) 0#(1(2(4(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 + [1] = 4#(2(1(0(2(1(x1)))))) 0#(1(2(5(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 4#(x1) 0#(1(2(5(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 5#(4(x1)) 0#(1(2(5(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 2#(1(5(4(x1)))) 0#(1(2(5(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 0#(2(1(5(4(x1))))) 0#(1(2(5(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 2#(0(2(1(5(4(x1)))))) 0#(1(5(1(2(x1))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 5#(x1) 0#(1(5(1(2(x1))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 2#(1(1(5(x1)))) 0#(1(5(1(2(x1))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 0#(2(1(1(5(x1))))) 0#(1(5(5(2(x1))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 5#(1(x1)) 0#(1(5(5(2(x1))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 5#(5(1(x1))) 0#(1(5(5(2(x1))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 2#(1(5(5(1(x1))))) 0#(1(5(5(2(x1))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 0#(2(1(5(5(1(x1)))))) 0#(5(0(1(2(x1))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 2#(1(x1)) 0#(5(0(1(2(x1))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 0#(2(1(x1))) 0#(5(0(1(2(x1))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 5#(0(2(1(x1)))) 0#(5(0(1(2(x1))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 4#(5(0(2(1(x1))))) 0#(5(0(1(2(x1))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 0#(4(5(0(2(1(x1)))))) 0#(5(0(3(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 3#(x1) 0#(5(0(3(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 2#(3(x1)) 0#(5(0(3(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 0#(2(3(x1))) 0#(5(0(3(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 + [1] = 0#(0(2(3(x1)))) 0#(5(0(3(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 + [1] = 5#(0(0(2(3(x1))))) 0#(5(0(3(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 + [1] = 0#(5(0(0(2(3(x1)))))) 0#(5(5(2(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 + [1] = 5#(2(x1)) 0#(5(5(2(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 + [1] = 5#(5(2(x1))) 0#(5(5(2(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 + [1] = 2#(1(5(5(2(x1))))) 0#(5(5(2(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 + [1] = 0#(2(1(5(5(2(x1)))))) 3#(0(3(1(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 3#(x1) 3#(0(3(1(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 2#(3(x1)) 3#(0(3(1(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 0#(2(3(x1))) 3#(0(3(1(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 3#(0(2(3(x1)))) 3#(0(3(1(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 3#(3(0(2(3(x1))))) 3#(0(3(4(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 3#(x1) 3#(0(3(4(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 2#(3(x1)) 3#(0(3(4(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 0#(2(3(x1))) 3#(0(3(4(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 4#(0(2(3(x1)))) 3#(0(3(4(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 3#(4(0(2(3(x1))))) 4#(5(1(4(2(x1))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 5#(x1) 4#(5(1(4(2(x1))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 4#(1(5(x1))) 4#(5(1(4(2(x1))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 4#(4(1(5(x1)))) 4#(5(1(4(2(x1))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 4#(4(4(1(5(x1))))) 4#(5(1(4(2(x1))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 2#(4(4(4(1(5(x1)))))) 5#(0(1(3(2(x1))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 3#(x1) 5#(0(1(3(2(x1))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 2#(1(3(x1))) 5#(0(1(3(2(x1))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 0#(2(1(3(x1)))) 5#(0(1(3(2(x1))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 5#(0(2(1(3(x1))))) 5#(0(1(3(2(x1))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 3#(5(0(2(1(3(x1)))))) 5#(0(3(1(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 5#(x1) 5#(0(3(1(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 3#(5(x1)) 5#(0(3(1(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 4#(3(5(x1))) 5#(0(3(1(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 2#(1(4(3(5(x1))))) 5#(0(3(1(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 0#(2(1(4(3(5(x1)))))) 5#(0(4(2(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 5#(x1) 5#(0(4(2(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 4#(1(5(x1))) 5#(0(4(2(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 2#(4(1(5(x1)))) 5#(0(4(2(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 0#(2(4(1(5(x1))))) 5#(0(4(2(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 2#(0(2(4(1(5(x1)))))) 5#(1(0(3(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 + [1] = 5#(1(2(x1))) 5#(1(0(3(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 + [1] = 3#(5(1(2(x1)))) 5#(1(0(3(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 + [1] = 4#(3(5(1(2(x1))))) 5#(1(0(3(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 + [1] = 0#(4(3(5(1(2(x1)))))) 5#(1(0(3(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 0#(2(x1)) 5#(1(0(3(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 3#(1(1(0(2(x1))))) 5#(1(0(3(2(x1))))) = [1 0 0]x1 + [2] >= [1 0 0]x1 = 5#(3(1(1(0(2(x1)))))) 5#(1(0(5(2(x1))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 2#(1(x1)) 5#(1(0(5(2(x1))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 0#(2(1(x1))) 5#(1(0(5(2(x1))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 5#(0(2(1(x1)))) 5#(1(0(5(2(x1))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 5#(5(0(2(1(x1))))) 5#(1(0(5(2(x1))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 3#(5(5(0(2(1(x1)))))) 5#(1(0(5(2(x1))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 5#(x1) 5#(1(0(5(2(x1))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 5#(5(x1)) 5#(1(0(5(2(x1))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 2#(1(5(5(x1)))) 5#(1(0(5(2(x1))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 0#(2(1(5(5(x1))))) 5#(1(0(5(2(x1))))) = [1 0 0]x1 + [1] >= [1 0 0]x1 = 5#(0(2(1(5(5(x1)))))) 5#(2(0(3(2(x1))))) = [1 0 0]x1 + [3] >= [1 0 0]x1 = 3#(1(x1)) 5#(2(0(3(2(x1))))) = [1 0 0]x1 + [3] >= [1 0 0]x1 = 2#(3(1(x1))) 5#(2(0(3(2(x1))))) = [1 0 0]x1 + [3] >= [1 0 0]x1 + [1] = 5#(2(3(1(x1)))) 5#(2(0(3(2(x1))))) = [1 0 0]x1 + [3] >= [1 0 0]x1 + [1] = 2#(5(2(3(1(x1))))) 5#(2(0(3(2(x1))))) = [1 0 0]x1 + [3] >= [1 0 0]x1 + [1] = 0#(2(5(2(3(1(x1)))))) [1 0 0] [1] [1 0 0] [0] 0(1(2(x1))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 0(2(1(1(x1)))) [1 0 0] [1] [1 0 0] [1] [1 0 0] [1] [1 0 0] [0] 0(1(2(x1))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 0(2(1(3(x1)))) [1 0 0] [1] [1 0 0] [1] [1 0 0] [1] [1 0 0] [0] 0(1(2(x1))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 0(2(1(1(3(x1))))) [1 0 0] [1] [1 0 0] [1] [1 0 0] [1] [1 0 0] [0] 0(1(2(x1))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 0(2(4(1(1(x1))))) [1 0 0] [1] [1 0 0] [1] [1 0 0] [1] [1 0 0] [0] 0(1(2(x1))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 0(2(4(1(3(x1))))) [1 0 0] [1] [1 0 0] [1] [1 0 0] [2] [1 0 0] [0] 0(3(2(x1))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 0(2(1(3(x1)))) [1 0 0] [1] [1 0 0] [1] [1 0 0] [2] [1 0 0] [0] 0(3(2(x1))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 0(2(1(1(3(x1))))) [1 0 0] [1] [1 0 0] [1] [1 0 0] [2] [1 0 0] [1] 0(3(2(x1))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 0(0(2(1(1(3(x1)))))) [1 0 0] [1] [1 0 0] [0] [1 0 0] [1] [1 0 0] [0] 0(1(1(2(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 0(2(1(1(3(x1))))) [1 0 0] [1] [1 0 0] [1] [1 0 0] [2] [1 0 0] [1] 0(1(2(2(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 0(2(2(1(1(x1))))) [1 0 0] [2] [1 0 0] [2] [1 0 0] [2] [1 0 0] [1] 0(1(2(2(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 0(2(3(2(1(x1))))) [1 0 0] [2] [1 0 0] [2] [1 0 0] [1] [1 0 0] [0] 0(1(3(2(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 0(2(1(4(3(x1))))) [1 0 0] [1] [1 0 0] [1] [1 0 0] [1] [1 0 0] [0] 0(1(3(2(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 3(3(0(2(1(x1))))) [1 0 0] [1] [1 0 0] [1] [1 0 0] [1] [1 0 0] [0] 0(1(3(2(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 3(0(2(4(1(1(x1)))))) [1 0 0] [1] [1 0 0] [1] [1 0 0] [1] [1 0 0] 0(1(5(2(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 = 5(0(2(1(1(x1))))) [1 0 0] [1] [1 0 0] [1 0 0] [3] [1 0 0] [2] 0(3(2(2(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 0(0(2(3(2(x1))))) [1 0 0] [2] [1 0 0] [1] [1 0 0] [3] [1 0 0] [2] 0(3(2(2(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 0(0(4(2(3(2(x1)))))) [1 0 0] [2] [1 0 0] [2] [1 0 0] [3] [1 0 0] [1] 2(0(3(2(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 1(3(0(2(2(x1))))) [1 0 0] [2] [1 0 0] [1] [1 0 0] [2] [1 0 0] [0] 3(0(3(2(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 3(0(0(0(2(3(x1)))))) [1 0 0] [3] [1 0 0] [1] [1 0 0] [1] [1 0 0] [0] 3(1(5(2(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 0(2(1(5(3(x1))))) [1 0 0] [2] [1 0 0] [1] [1 0 0] [1] [1 0 0] [0] 3(3(5(2(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 3(0(2(1(5(3(x1)))))) [1 0 0] [2] [1 0 0] [1] [1 0 0] [2] [1 0 0] [1] 4(5(2(2(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 2(5(0(2(4(1(x1)))))) [1 0 0] [2] [1 0 0] [0] [1 0 0] [1] [1 0 0] [0] 5(0(1(2(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 0(2(1(3(4(5(x1)))))) [1 0 0] [1] [1 0 0] [1] [1 0 0] [1] [1 0 0] [1] 5(0(2(2(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 2(0(2(4(1(5(x1)))))) [1 0 0] [1] [1 0 0] [0] [1 0 0] [2] [1 0 0] [0] 5(0(3(2(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 3(0(2(1(4(5(x1)))))) [1 0 0] [2] [1 0 0] [1] [1 0 0] [2] [1 0 0] [1] 5(1(2(2(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 0(2(1(5(2(1(x1)))))) [1 0 0] [2] [1 0 0] [2] [1 0 0] [2] [1 0 0] [2] 5(1(2(2(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 2(1(5(2(1(1(x1)))))) [1 0 0] [2] [1 0 0] [1] [1 0 0] [2] [1 0 0] [1] 0(1(2(4(2(x1))))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 4(2(1(0(2(1(x1)))))) [1 0 0] [2] [1 0 0] [1] [1 0 0] [2] [1 0 0] [1] 0(1(2(5(2(x1))))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 2(0(2(1(5(4(x1)))))) [1 0 0] [2] [1 0 0] [0] [1 0 0] [1] [1 0 0] 0(1(5(1(2(x1))))) = [0 0 0]x1 + [0] >= [0 0 0]x1 = 1(0(2(1(1(5(x1)))))) [1 0 0] [1] [1 0 0] [1 0 0] [1] [1 0 0] [0] 0(1(5(5(2(x1))))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 0(2(1(5(5(1(x1)))))) [1 0 0] [1] [1 0 0] [1] [1 0 0] [1] [1 0 0] 0(5(0(1(2(x1))))) = [0 0 0]x1 + [0] >= [0 0 0]x1 = 0(4(5(0(2(1(x1)))))) [1 0 0] [1] [1 0 0] [1 0 0] [2] [1 0 0] [1] 0(5(0(3(2(x1))))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 0(5(0(0(2(3(x1)))))) [1 0 0] [2] [1 0 0] [1] [1 0 0] [2] [1 0 0] [1] 0(5(5(2(2(x1))))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 0(2(1(5(5(2(x1)))))) [1 0 0] [2] [1 0 0] [2] [1 0 0] [2] [1 0 0] 3(0(3(1(2(x1))))) = [0 0 0]x1 + [0] >= [0 0 0]x1 = 1(3(3(0(2(3(x1)))))) [1 0 0] [3] [1 0 0] [1 0 0] [2] [1 0 0] 3(0(3(4(2(x1))))) = [0 0 0]x1 + [0] >= [0 0 0]x1 = 1(3(4(0(2(3(x1)))))) [1 0 0] [3] [1 0 0] [1 0 0] [1] [1 0 0] [1] 4(5(1(4(2(x1))))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 2(4(4(4(1(5(x1)))))) [1 0 0] [1] [1 0 0] [0] [1 0 0] [1] [1 0 0] [0] 5(0(1(3(2(x1))))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 3(5(0(2(1(3(x1)))))) [1 0 0] [1] [1 0 0] [1] [1 0 0] [2] [1 0 0] [0] 5(0(3(1(2(x1))))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 0(2(1(4(3(5(x1)))))) [1 0 0] [2] [1 0 0] [1] [1 0 0] [2] [1 0 0] [1] 5(0(4(2(2(x1))))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 2(0(2(4(1(5(x1)))))) [1 0 0] [2] [1 0 0] [0] [1 0 0] [2] [1 0 0] [1] 5(1(0(3(2(x1))))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 0(4(3(5(1(2(x1)))))) [1 0 0] [2] [1 0 0] [1] [1 0 0] [2] [1 0 0] 5(1(0(3(2(x1))))) = [0 0 0]x1 + [0] >= [0 0 0]x1 = 5(3(1(1(0(2(x1)))))) [1 0 0] [2] [1 0 0] [1 0 0] [1] [1 0 0] [0] 5(1(0(5(2(x1))))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 3(5(5(0(2(1(x1)))))) [1 0 0] [1] [1 0 0] [1] [1 0 0] [1] [1 0 0] 5(1(0(5(2(x1))))) = [0 0 0]x1 + [0] >= [0 0 0]x1 = 5(0(2(1(5(5(x1)))))) [1 0 0] [1] [1 0 0] [1 0 0] [3] [1 0 0] [1] 5(2(0(3(2(x1))))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = 0(2(5(2(3(1(x1)))))) [1 0 0] [3] [1 0 0] [2] problem: DPs: TRS: 0(1(2(x1))) -> 0(2(1(1(x1)))) 0(1(2(x1))) -> 0(2(1(3(x1)))) 0(1(2(x1))) -> 0(2(1(1(3(x1))))) 0(1(2(x1))) -> 0(2(4(1(1(x1))))) 0(1(2(x1))) -> 0(2(4(1(3(x1))))) 0(3(2(x1))) -> 0(2(1(3(x1)))) 0(3(2(x1))) -> 0(2(1(1(3(x1))))) 0(3(2(x1))) -> 0(0(2(1(1(3(x1)))))) 0(1(1(2(x1)))) -> 0(2(1(1(3(x1))))) 0(1(2(2(x1)))) -> 0(2(2(1(1(x1))))) 0(1(2(2(x1)))) -> 0(2(3(2(1(x1))))) 0(1(3(2(x1)))) -> 0(2(1(4(3(x1))))) 0(1(3(2(x1)))) -> 3(3(0(2(1(x1))))) 0(1(3(2(x1)))) -> 3(0(2(4(1(1(x1)))))) 0(1(5(2(x1)))) -> 5(0(2(1(1(x1))))) 0(3(2(2(x1)))) -> 0(0(2(3(2(x1))))) 0(3(2(2(x1)))) -> 0(0(4(2(3(2(x1)))))) 2(0(3(2(x1)))) -> 1(3(0(2(2(x1))))) 3(0(3(2(x1)))) -> 3(0(0(0(2(3(x1)))))) 3(1(5(2(x1)))) -> 0(2(1(5(3(x1))))) 3(3(5(2(x1)))) -> 3(0(2(1(5(3(x1)))))) 4(5(2(2(x1)))) -> 2(5(0(2(4(1(x1)))))) 5(0(1(2(x1)))) -> 0(2(1(3(4(5(x1)))))) 5(0(2(2(x1)))) -> 2(0(2(4(1(5(x1)))))) 5(0(3(2(x1)))) -> 3(0(2(1(4(5(x1)))))) 5(1(2(2(x1)))) -> 0(2(1(5(2(1(x1)))))) 5(1(2(2(x1)))) -> 2(1(5(2(1(1(x1)))))) 0(1(2(4(2(x1))))) -> 4(2(1(0(2(1(x1)))))) 0(1(2(5(2(x1))))) -> 2(0(2(1(5(4(x1)))))) 0(1(5(1(2(x1))))) -> 1(0(2(1(1(5(x1)))))) 0(1(5(5(2(x1))))) -> 0(2(1(5(5(1(x1)))))) 0(5(0(1(2(x1))))) -> 0(4(5(0(2(1(x1)))))) 0(5(0(3(2(x1))))) -> 0(5(0(0(2(3(x1)))))) 0(5(5(2(2(x1))))) -> 0(2(1(5(5(2(x1)))))) 3(0(3(1(2(x1))))) -> 1(3(3(0(2(3(x1)))))) 3(0(3(4(2(x1))))) -> 1(3(4(0(2(3(x1)))))) 4(5(1(4(2(x1))))) -> 2(4(4(4(1(5(x1)))))) 5(0(1(3(2(x1))))) -> 3(5(0(2(1(3(x1)))))) 5(0(3(1(2(x1))))) -> 0(2(1(4(3(5(x1)))))) 5(0(4(2(2(x1))))) -> 2(0(2(4(1(5(x1)))))) 5(1(0(3(2(x1))))) -> 0(4(3(5(1(2(x1)))))) 5(1(0(3(2(x1))))) -> 5(3(1(1(0(2(x1)))))) 5(1(0(5(2(x1))))) -> 3(5(5(0(2(1(x1)))))) 5(1(0(5(2(x1))))) -> 5(0(2(1(5(5(x1)))))) 5(2(0(3(2(x1))))) -> 0(2(5(2(3(1(x1)))))) Qed