YES Input TRS: 1: a(a(a(a(x1)))) -> a(a(b(b(b(b(b(b(x1)))))))) 2: b(b(a(a(x1)))) -> b(b(b(b(c(c(x1)))))) 3: a(a(b(b(b(b(c(c(x1)))))))) -> a(a(a(a(a(a(b(b(x1)))))))) Number of strict rules: 3 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #b(b(a(a(x1)))) -> #b(b(b(b(c(c(x1)))))) #2: #b(b(a(a(x1)))) -> #b(b(b(c(c(x1))))) #3: #b(b(a(a(x1)))) -> #b(b(c(c(x1)))) #4: #b(b(a(a(x1)))) -> #b(c(c(x1))) #5: #a(a(b(b(b(b(c(c(x1)))))))) -> #a(a(a(a(a(a(b(b(x1)))))))) #6: #a(a(b(b(b(b(c(c(x1)))))))) -> #a(a(a(a(a(b(b(x1))))))) #7: #a(a(b(b(b(b(c(c(x1)))))))) -> #a(a(a(a(b(b(x1)))))) #8: #a(a(b(b(b(b(c(c(x1)))))))) -> #a(a(a(b(b(x1))))) #9: #a(a(b(b(b(b(c(c(x1)))))))) -> #a(a(b(b(x1)))) #10: #a(a(b(b(b(b(c(c(x1)))))))) -> #a(b(b(x1))) #11: #a(a(b(b(b(b(c(c(x1)))))))) -> #b(b(x1)) #12: #a(a(b(b(b(b(c(c(x1)))))))) -> #b(x1) #13: #a(a(a(a(x1)))) -> #a(a(b(b(b(b(b(b(x1)))))))) #14: #a(a(a(a(x1)))) -> #a(b(b(b(b(b(b(x1))))))) #15: #a(a(a(a(x1)))) -> #b(b(b(b(b(b(x1)))))) #16: #a(a(a(a(x1)))) -> #b(b(b(b(b(x1))))) #17: #a(a(a(a(x1)))) -> #b(b(b(b(x1)))) #18: #a(a(a(a(x1)))) -> #b(b(b(x1))) #19: #a(a(a(a(x1)))) -> #b(b(x1)) #20: #a(a(a(a(x1)))) -> #b(x1) Number of SCCs: 1, DPs: 5 SCC { #5..9 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded. a w: max(x1 - 11295, 0) b w: 20151 c w: max(x1 - 1, 0) #a w: max(x1 + 1, 0) #b w: 0 USABLE RULES: { 1..3 } Removed DPs: #5..8 Number of SCCs: 1, DPs: 1 SCC { #9 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded. a s: [] p: 1 w: x1 + 23599 b s: [] p: 1 w: x1 + 11798 c s: [] p: 0 w: x1 + 11800 #a s: [] p: 0 w: x1 + 1 #b s: [] p: 0 w: 1 USABLE RULES: { 2 } Removed DPs: #9 Number of SCCs: 0, DPs: 0