MAYBE Input TRS: 1: b(b(d(d(b(b(x1)))))) -> c(c(d(d(b(b(x1)))))) 2: b(b(a(a(c(c(x1)))))) -> b(b(c(c(x1)))) 3: a(a(d(d(x1)))) -> d(d(c(c(x1)))) 4: b(b(b(b(b(b(x1)))))) -> a(a(b(b(c(c(x1)))))) 5: d(d(c(c(x1)))) -> b(b(d(d(x1)))) 6: d(d(c(c(x1)))) -> d(d(b(b(d(d(x1)))))) 7: d(d(a(a(c(c(x1)))))) -> b(b(b(b(x1)))) Number of strict rules: 7 Direct POLO(bPol) ... removes: 2 a w: 2 * x1 + 8366 d w: x1 b w: 2 * x1 + 8366 c w: 2 * x1 + 8366 Number of strict rules: 6 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #d(d(c(c(x1)))) -> #d(d(b(b(d(d(x1)))))) #2: #d(d(c(c(x1)))) -> #d(b(b(d(d(x1))))) #3: #d(d(c(c(x1)))) -> #b(b(d(d(x1)))) #4: #d(d(c(c(x1)))) -> #b(d(d(x1))) #5: #d(d(c(c(x1)))) -> #d(d(x1)) #6: #d(d(c(c(x1)))) -> #d(x1) #7: #d(d(a(a(c(c(x1)))))) -> #b(b(b(b(x1)))) #8: #d(d(a(a(c(c(x1)))))) -> #b(b(b(x1))) #9: #d(d(a(a(c(c(x1)))))) -> #b(b(x1)) #10: #d(d(a(a(c(c(x1)))))) -> #b(x1) #11: #d(d(c(c(x1)))) -> #b(b(d(d(x1)))) #12: #d(d(c(c(x1)))) -> #b(d(d(x1))) #13: #d(d(c(c(x1)))) -> #d(d(x1)) #14: #d(d(c(c(x1)))) -> #d(x1) #15: #a(a(d(d(x1)))) -> #d(d(c(c(x1)))) #16: #a(a(d(d(x1)))) -> #d(c(c(x1))) #17: #b(b(b(b(b(b(x1)))))) -> #a(a(b(b(c(c(x1)))))) #18: #b(b(b(b(b(b(x1)))))) -> #a(b(b(c(c(x1))))) #19: #b(b(b(b(b(b(x1)))))) -> #b(b(c(c(x1)))) #20: #b(b(b(b(b(b(x1)))))) -> #b(c(c(x1))) Number of SCCs: 1, DPs: 5 SCC { #1 #5 #6 #13 #14 } POLO(Sum)... succeeded. a w: x1 + 21239 d w: x1 b w: x1 + 21239 c w: x1 + 21239 #d w: x1 #a w: 0 #b w: 0 USABLE RULES: { 1 3..7 } Removed DPs: #5 #6 #13 #14 Number of SCCs: 1, DPs: 1 SCC { #1 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. Finding a loop... failed.