MAYBE Input TRS: 1: a(b(x1)) -> x1 2: a(b(c(x1))) -> b(c(b(c(a(a(b(x1))))))) Number of strict rules: 2 Direct POLO(bPol) ... failed. Uncurrying a 1: a^1_b(x1) -> x1 2: a^1_b(c(x1)) -> b(c(b(c(a(a^1_b(x1)))))) 3: a(b(_1)) ->= a^1_b(_1) Number of strict rules: 2 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #a^1_b(c(x1)) -> #a(a^1_b(x1)) #2: #a^1_b(c(x1)) -> #a^1_b(x1) #3: #a(b(_1)) ->? #a^1_b(_1) Number of SCCs: 1, DPs: 3 SCC { #1..3 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded. a w: max(x1 + 28101, 0) b w: max(x1 - 28101, 0) #a^1_b w: max(x1 + 1, 0) c w: max(x1 + 28101, 0) a^1_b w: max(x1, 0) #a w: max(x1 + 28102, 0) USABLE RULES: { 1..3 } Removed DPs: #2 Number of SCCs: 1, DPs: 2 SCC { #1 #3 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. Finding a loop... failed.