0.00/0.03 YES 0.00/0.03 Input TRS: 0.00/0.03 1: b(b(b(x1))) -> c(a(c(x1))) 0.00/0.03 2: a(a(c(x1))) -> a(b(a(x1))) 0.00/0.03 3: a(a(c(x1))) -> c(b(c(x1))) 0.00/0.03 4: c(b(b(x1))) ->= b(b(c(x1))) 0.00/0.03 5: c(c(c(x1))) ->= b(b(c(x1))) 0.00/0.03 6: a(a(a(x1))) ->= a(b(c(x1))) 0.00/0.03 Number of strict rules: 3 0.00/0.03 Direct POLO(bPol) ... failed. 0.00/0.03 Uncurrying ... failed. 0.00/0.03 Dependency Pairs: 0.00/0.03 #1: #a(a(c(x1))) -> #a(b(a(x1))) 0.00/0.03 #2: #a(a(c(x1))) -> #b(a(x1)) 0.00/0.03 #3: #a(a(c(x1))) -> #a(x1) 0.00/0.03 #4: #a(a(a(x1))) ->? #a(b(c(x1))) 0.00/0.03 #5: #a(a(a(x1))) ->? #b(c(x1)) 0.00/0.03 #6: #a(a(a(x1))) ->? #c(x1) 0.00/0.03 #7: #c(c(c(x1))) ->? #b(b(c(x1))) 0.00/0.03 #8: #c(c(c(x1))) ->? #b(c(x1)) 0.00/0.03 #9: #a(a(c(x1))) -> #c(b(c(x1))) 0.00/0.03 #10: #a(a(c(x1))) -> #b(c(x1)) 0.00/0.03 #11: #b(b(b(x1))) -> #c(a(c(x1))) 0.00/0.03 #12: #b(b(b(x1))) -> #a(c(x1)) 0.00/0.03 #13: #b(b(b(x1))) -> #c(x1) 0.00/0.03 #14: #c(b(b(x1))) ->? #b(b(c(x1))) 0.00/0.03 #15: #c(b(b(x1))) ->? #b(c(x1)) 0.00/0.03 #16: #c(b(b(x1))) ->? #c(x1) 0.00/0.03 Number of SCCs: 2, DPs: 7 0.00/0.03 SCC { #3 } 0.00/0.03 POLO(Sum)... succeeded. 0.00/0.03 a w: x1 0.00/0.03 b w: 0 0.00/0.03 c w: x1 + 1 0.00/0.03 #c w: 0 0.00/0.03 #a w: x1 0.00/0.03 #b w: 0 0.00/0.03 USABLE RULES: { } 0.00/0.03 Removed DPs: #3 0.00/0.03 Number of SCCs: 1, DPs: 6 0.00/0.03 SCC { #7 #8 #13..16 } 0.00/0.03 POLO(Sum)... succeeded. 0.00/0.03 a w: x1 + 1 0.00/0.03 b w: x1 + 1 0.00/0.03 c w: x1 + 1 0.00/0.03 #c w: x1 + 1 0.00/0.03 #a w: 0 0.00/0.03 #b w: x1 0.00/0.03 USABLE RULES: { 1 4 5 } 0.00/0.03 Removed DPs: #7 #8 #13..16 0.00/0.03 Number of SCCs: 0, DPs: 0 0.00/0.03 EOF