0.00/0.35 YES 0.00/0.36 Input TRS: 0.00/0.36 1: a(b(x1)) -> C(x1) 0.00/0.36 2: b(c(x1)) -> A(x1) 0.00/0.36 3: c(a(x1)) -> B(x1) 0.00/0.36 4: A(C(x1)) -> b(x1) 0.00/0.36 5: C(B(x1)) -> a(x1) 0.00/0.36 6: B(A(x1)) -> c(x1) 0.00/0.36 7: a(a(a(a(a(x1))))) -> A(A(A(x1))) 0.00/0.36 8: A(A(A(A(x1)))) -> a(a(a(a(x1)))) 0.00/0.36 9: b(b(b(b(b(x1))))) -> B(B(B(x1))) 0.00/0.36 10: B(B(B(B(x1)))) -> b(b(b(b(x1)))) 0.00/0.36 11: c(c(c(c(c(x1))))) -> C(C(C(x1))) 0.00/0.36 12: C(C(C(C(x1)))) -> c(c(c(c(x1)))) 0.00/0.36 13: B(a(a(a(a(x1))))) -> c(A(A(A(x1)))) 0.00/0.36 14: A(A(A(b(x1)))) -> a(a(a(a(C(x1))))) 0.00/0.36 15: C(b(b(b(b(x1))))) -> a(B(B(B(x1)))) 0.00/0.36 16: B(B(B(c(x1)))) -> b(b(b(b(A(x1))))) 0.00/0.36 17: A(c(c(c(c(x1))))) -> b(C(C(C(x1)))) 0.00/0.36 18: C(C(C(a(x1)))) -> c(c(c(c(B(x1))))) 0.00/0.36 19: a(A(x1)) -> x1 0.00/0.36 20: A(a(x1)) -> x1 0.00/0.36 21: b(B(x1)) -> x1 0.00/0.36 22: B(b(x1)) -> x1 0.00/0.36 23: c(C(x1)) -> x1 0.00/0.36 24: C(c(x1)) -> x1 0.00/0.36 Number of strict rules: 24 0.00/0.36 Direct POLO(bPol) ... removes: 4 8 1 3 21 19 22 5 10 7 20 12 23 24 11 9 6 2 0.00/0.36 a w: x1 + 2 0.00/0.36 b w: x1 + 2 0.00/0.36 c w: x1 + 2 0.00/0.36 C w: x1 + 3 0.00/0.36 B w: x1 + 3 0.00/0.36 A w: x1 + 3 0.00/0.36 Number of strict rules: 6 0.00/0.36 Direct POLO(bPol) ... failed. 0.00/0.36 Uncurrying ... failed. 0.00/0.36 Dependency Pairs: 0.00/0.36 #1: #B(a(a(a(a(x1))))) -> #A(A(A(x1))) 0.00/0.36 #2: #B(a(a(a(a(x1))))) -> #A(A(x1)) 0.00/0.36 #3: #B(a(a(a(a(x1))))) -> #A(x1) 0.00/0.36 #4: #A(A(A(b(x1)))) -> #C(x1) 0.00/0.36 #5: #A(c(c(c(c(x1))))) -> #C(C(C(x1))) 0.00/0.36 #6: #A(c(c(c(c(x1))))) -> #C(C(x1)) 0.00/0.36 #7: #A(c(c(c(c(x1))))) -> #C(x1) 0.00/0.36 #8: #B(B(B(c(x1)))) -> #A(x1) 0.00/0.36 #9: #C(b(b(b(b(x1))))) -> #B(B(B(x1))) 0.00/0.36 #10: #C(b(b(b(b(x1))))) -> #B(B(x1)) 0.00/0.36 #11: #C(b(b(b(b(x1))))) -> #B(x1) 0.00/0.36 #12: #C(C(C(a(x1)))) -> #B(x1) 0.00/0.36 Number of SCCs: 1, DPs: 12 0.00/0.36 SCC { #1..12 } 0.00/0.36 POLO(Sum)... succeeded. 0.00/0.36 a w: x1 + 2 0.00/0.36 b w: x1 + 2 0.00/0.36 #B w: x1 + 2 0.00/0.36 c w: x1 + 2 0.00/0.36 C w: x1 + 3 0.00/0.36 B w: x1 + 3 0.00/0.36 #C w: x1 + 1 0.00/0.36 A w: x1 + 3 0.00/0.36 #A w: x1 0.00/0.36 USABLE RULES: { 13..18 } 0.00/0.36 Removed DPs: #1..12 0.00/0.36 Number of SCCs: 0, DPs: 0 0.00/0.36 EOF