YES Input TRS: 1: b(c(a(b(b(c(x1)))))) -> a(b(c(b(b(c(a(x1))))))) Number of strict rules: 1 Direct POLO(bPol) ... failed. Uncurrying b 1: b^1_c(a(b(b^1_c(x1)))) -> a(b^1_c(b(b^1_c(a(x1))))) 2: b(c(_1)) ->= b^1_c(_1) Number of strict rules: 1 Direct POLO(bPol) ... removes: 2 a w: x1 b w: x1 + 1 b^1_c w: x1 + 32286 c w: 2 * x1 + 32286 Number of strict rules: 1 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #b^1_c(a(b(b^1_c(x1)))) -> #b^1_c(b(b^1_c(a(x1)))) #2: #b^1_c(a(b(b^1_c(x1)))) -> #b^1_c(a(x1)) Number of SCCs: 1, DPs: 1 SCC { #2 } POLO(Sum)... succeeded. a w: x1 + 1 b w: x1 #b^1_c w: x1 b^1_c w: x1 + 1 c w: 0 USABLE RULES: { } Removed DPs: #2 Number of SCCs: 0, DPs: 0