184.01/47.08 YES 184.01/47.09 184.01/47.09 Problem: 184.01/47.09 b(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b(b(b(b(b(a(b(b(a(b(b(a(b(x1))))))))))))) 184.01/47.09 184.01/47.09 Proof: 184.01/47.09 DP Processor: 184.01/47.09 DPs: 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(a(b(x1))) 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(x1)))) 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(a(b(b(a(b(x1)))))) 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(b(a(b(x1))))))) 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(a(b(b(a(b(b(a(b(x1))))))))) 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(b(a(b(b(a(b(x1)))))))))) 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(b(a(b(b(a(b(b(a(b(x1))))))))))) 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(b(b(a(b(b(a(b(b(a(b(x1)))))))))))) 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(b(b(b(a(b(b(a(b(b(a(b(x1))))))))))))) 184.01/47.09 TRS: 184.01/47.09 b(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b(b(b(b(b(a(b(b(a(b(b(a(b(x1))))))))))))) 184.01/47.09 EDG Processor: 184.01/47.09 DPs: 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(a(b(x1))) 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(x1)))) 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(a(b(b(a(b(x1)))))) 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(b(a(b(x1))))))) 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(a(b(b(a(b(b(a(b(x1))))))))) 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(b(a(b(b(a(b(x1)))))))))) 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(b(a(b(b(a(b(b(a(b(x1))))))))))) 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(b(b(a(b(b(a(b(b(a(b(x1)))))))))))) 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(b(b(b(a(b(b(a(b(b(a(b(x1))))))))))))) 184.01/47.09 TRS: 184.01/47.09 b(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b(b(b(b(b(a(b(b(a(b(b(a(b(x1))))))))))))) 184.01/47.09 graph: 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(b(a(b(b(a(b(x1)))))))))) -> 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(a(b(x1))) 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(b(a(b(b(a(b(x1)))))))))) -> 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(x1)))) 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(b(a(b(b(a(b(x1)))))))))) -> 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(a(b(b(a(b(x1)))))) 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(b(a(b(b(a(b(x1)))))))))) -> 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(b(a(b(x1))))))) 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(b(a(b(b(a(b(x1)))))))))) -> 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(a(b(b(a(b(b(a(b(x1))))))))) 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(b(a(b(b(a(b(x1)))))))))) -> 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(b(a(b(b(a(b(x1)))))))))) 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(b(a(b(b(a(b(x1)))))))))) -> 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(b(a(b(b(a(b(b(a(b(x1))))))))))) 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(b(a(b(b(a(b(x1)))))))))) -> 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(b(b(a(b(b(a(b(b(a(b(x1)))))))))))) 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(b(a(b(b(a(b(x1)))))))))) -> 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(b(b(b(a(b(b(a(b(b(a(b(x1))))))))))))) 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(b(a(b(x1))))))) -> 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(a(b(x1))) 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(b(a(b(x1))))))) -> 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(x1)))) 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(b(a(b(x1))))))) -> 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(a(b(b(a(b(x1)))))) 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(b(a(b(x1))))))) -> 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(b(a(b(x1))))))) 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(b(a(b(x1))))))) -> 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(a(b(b(a(b(b(a(b(x1))))))))) 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(b(a(b(x1))))))) -> 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(b(a(b(b(a(b(x1)))))))))) 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(b(a(b(x1))))))) -> 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(b(a(b(b(a(b(b(a(b(x1))))))))))) 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(b(a(b(x1))))))) -> 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(b(b(a(b(b(a(b(b(a(b(x1)))))))))))) 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(b(a(b(x1))))))) -> 184.01/47.09 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(b(b(b(a(b(b(a(b(b(a(b(x1))))))))))))) 184.01/47.10 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(x1)))) -> 184.01/47.10 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(a(b(x1))) 184.01/47.10 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(x1)))) -> 184.01/47.10 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(x1)))) 184.01/47.10 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(x1)))) -> 184.01/47.10 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(a(b(b(a(b(x1)))))) 184.01/47.10 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(x1)))) -> 184.01/47.10 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(b(a(b(x1))))))) 184.01/47.10 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(x1)))) -> 184.01/47.10 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(a(b(b(a(b(b(a(b(x1))))))))) 184.01/47.10 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(x1)))) -> 184.01/47.10 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(b(a(b(b(a(b(x1)))))))))) 184.01/47.10 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(x1)))) -> 184.01/47.10 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(b(a(b(b(a(b(b(a(b(x1))))))))))) 184.01/47.10 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(x1)))) -> 184.01/47.10 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(b(b(a(b(b(a(b(b(a(b(x1)))))))))))) 184.01/47.10 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(x1)))) -> 184.01/47.10 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(b(b(b(a(b(b(a(b(b(a(b(x1))))))))))))) 184.01/47.10 SCC Processor: 184.01/47.10 #sccs: 1 184.01/47.10 #rules: 3 184.01/47.10 #arcs: 27/81 184.01/47.10 DPs: 184.01/47.10 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(b(a(b(b(a(b(x1)))))))))) 184.01/47.10 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(b(a(b(x1))))))) 184.01/47.10 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b#(b(a(b(x1)))) 184.01/47.10 TRS: 184.01/47.10 b(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b(b(b(b(b(a(b(b(a(b(b(a(b(x1))))))))))))) 184.01/47.10 Matrix Interpretation Processor: dim=3 184.01/47.10 184.01/47.10 interpretation: 184.01/47.10 [b#](x0) = [0 1 0]x0 + [1], 184.01/47.10 184.01/47.10 [1 0 0] 184.01/47.10 [a](x0) = [0 0 1]x0 184.01/47.10 [0 0 1] , 184.01/47.10 184.01/47.10 [0 1 0] [0] 184.01/47.10 [b](x0) = [0 0 1]x0 + [1] 184.01/47.10 [1 0 0] [0] 184.01/47.10 orientation: 184.01/47.10 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) = [1 0 0]x1 + [3] >= [1 0 0]x1 + [2] = b#(b(a(b(b(a(b(b(a(b(x1)))))))))) 184.01/47.10 184.01/47.10 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) = [1 0 0]x1 + [3] >= [1 0 0]x1 + [2] = b#(b(a(b(b(a(b(x1))))))) 184.01/47.10 184.01/47.10 b#(b(a(b(b(a(b(b(b(b(x1)))))))))) = [1 0 0]x1 + [3] >= [1 0 0]x1 + [2] = b#(b(a(b(x1)))) 184.01/47.10 184.01/47.10 [1 0 0] [2] [1 0 0] [2] 184.01/47.10 b(b(a(b(b(a(b(b(b(b(x1)))))))))) = [1 0 0]x1 + [3] >= [1 0 0]x1 + [3] = b(b(b(b(b(a(b(b(a(b(b(a(b(x1))))))))))))) 184.01/47.10 [1 0 0] [1] [1 0 0] [1] 184.01/47.10 problem: 184.01/47.10 DPs: 184.01/47.10 184.01/47.10 TRS: 184.01/47.10 b(b(a(b(b(a(b(b(b(b(x1)))))))))) -> b(b(b(b(b(a(b(b(a(b(b(a(b(x1))))))))))))) 184.01/47.10 Qed 184.01/47.11 EOF