MAYBE Input TRS: 1: c(c(b(x1))) -> a(c(b(x1))) 2: a(c(b(a(x1)))) -> b(c(c(x1))) 3: b(a(c(x1))) -> a(b(c(a(x1)))) 4: b(c(a(x1))) -> c(a(b(x1))) Number of strict rules: 4 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #a(c(b(a(x1)))) -> #b(c(c(x1))) #2: #a(c(b(a(x1)))) -> #c(c(x1)) #3: #a(c(b(a(x1)))) -> #c(x1) #4: #b(a(c(x1))) -> #a(b(c(a(x1)))) #5: #b(a(c(x1))) -> #b(c(a(x1))) #6: #b(a(c(x1))) -> #c(a(x1)) #7: #b(a(c(x1))) -> #a(x1) #8: #c(c(b(x1))) -> #a(c(b(x1))) #9: #b(c(a(x1))) -> #c(a(b(x1))) #10: #b(c(a(x1))) -> #a(b(x1)) #11: #b(c(a(x1))) -> #b(x1) Number of SCCs: 1, DPs: 11 SCC { #1..11 } POLO(Sum)... succeeded. a w: x1 b w: x1 + 2438 c w: x1 #c w: x1 #a w: x1 #b w: x1 + 2438 USABLE RULES: { 1..4 } Removed DPs: #2 #3 #6 #7 Number of SCCs: 1, DPs: 7 SCC { #1 #4 #5 #8..11 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded. a w: max(x1 - 23613, 0) b w: 47225 c w: max(x1 + 23613, 0) #c w: max(x1 - 23612, 0) #a w: max(x1 - 94451, 0) #b w: 0 USABLE RULES: { 1..4 } Removed DPs: #8 Number of SCCs: 1, DPs: 5 SCC { #1 #4 #5 #10 #11 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded. a w: max(x1 - 2, 0) b w: 4 c w: max(x1 + 2, 0) #c w: max(x1 - 23612, 0) #a w: max(x1 - 5, 0) #b w: 0 USABLE RULES: { 1..4 } Removed DPs: #1 Number of SCCs: 1, DPs: 2 SCC { #5 #11 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. Finding a loop... failed.