YES Input TRS: 1: a(b(x1)) -> b(b(a(x1))) 2: b(c(x1)) -> c(b(b(x1))) 3: c(a(x1)) -> a(c(c(x1))) Number of strict rules: 3 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #b(c(x1)) -> #c(b(b(x1))) #2: #b(c(x1)) -> #b(b(x1)) #3: #b(c(x1)) -> #b(x1) #4: #c(a(x1)) -> #a(c(c(x1))) #5: #c(a(x1)) -> #c(c(x1)) #6: #c(a(x1)) -> #c(x1) #7: #a(b(x1)) -> #b(b(a(x1))) #8: #a(b(x1)) -> #b(a(x1)) #9: #a(b(x1)) -> #a(x1) Number of SCCs: 1, DPs: 9 SCC { #1..9 } POLO(Sum)... succeeded. a w: 1 b w: x1 c w: x1 + 4 #c w: 3 #a w: 2 #b w: x1 USABLE RULES: { 1..3 } Removed DPs: #1..4 #7 #8 Number of SCCs: 2, DPs: 3 SCC { #9 } POLO(Sum)... POLO(max)... succeeded. a w: 0 b w: x1 + 1 c w: 0 #c w: 0 #a w: x1 #b w: 0 USABLE RULES: { } Removed DPs: #9 Number of SCCs: 1, DPs: 2 SCC { #5 #6 } POLO(Sum)... succeeded. a w: x1 + 1 b w: 41063 c w: x1 #c w: x1 + 3 #a w: 2 #b w: x1 USABLE RULES: { 1..3 } Removed DPs: #5 #6 Number of SCCs: 0, DPs: 0