7.74/7.23 YES 7.74/7.23 Input TRS: 7.74/7.23 1: a(a(a(a(x1)))) -> a(a(b(b(b(b(b(b(x1)))))))) 7.74/7.23 2: b(b(a(a(x1)))) -> b(b(b(b(c(c(x1)))))) 7.74/7.23 3: a(a(b(b(b(b(c(c(x1)))))))) -> a(a(a(a(a(a(b(b(x1)))))))) 7.74/7.23 Number of strict rules: 3 7.74/7.23 Direct POLO(bPol) ... failed. 7.74/7.23 Uncurrying ... failed. 7.74/7.23 Dependency Pairs: 7.74/7.23 #1: #b(b(a(a(x1)))) -> #b(b(b(b(c(c(x1)))))) 7.74/7.23 #2: #b(b(a(a(x1)))) -> #b(b(b(c(c(x1))))) 7.74/7.23 #3: #b(b(a(a(x1)))) -> #b(b(c(c(x1)))) 7.74/7.23 #4: #b(b(a(a(x1)))) -> #b(c(c(x1))) 7.74/7.23 #5: #a(a(b(b(b(b(c(c(x1)))))))) -> #a(a(a(a(a(a(b(b(x1)))))))) 7.74/7.23 #6: #a(a(b(b(b(b(c(c(x1)))))))) -> #a(a(a(a(a(b(b(x1))))))) 7.74/7.23 #7: #a(a(b(b(b(b(c(c(x1)))))))) -> #a(a(a(a(b(b(x1)))))) 7.74/7.23 #8: #a(a(b(b(b(b(c(c(x1)))))))) -> #a(a(a(b(b(x1))))) 7.74/7.23 #9: #a(a(b(b(b(b(c(c(x1)))))))) -> #a(a(b(b(x1)))) 7.74/7.23 #10: #a(a(b(b(b(b(c(c(x1)))))))) -> #a(b(b(x1))) 7.74/7.23 #11: #a(a(b(b(b(b(c(c(x1)))))))) -> #b(b(x1)) 7.74/7.23 #12: #a(a(b(b(b(b(c(c(x1)))))))) -> #b(x1) 7.74/7.23 #13: #a(a(a(a(x1)))) -> #a(a(b(b(b(b(b(b(x1)))))))) 7.74/7.23 #14: #a(a(a(a(x1)))) -> #a(b(b(b(b(b(b(x1))))))) 7.74/7.23 #15: #a(a(a(a(x1)))) -> #b(b(b(b(b(b(x1)))))) 7.74/7.23 #16: #a(a(a(a(x1)))) -> #b(b(b(b(b(x1))))) 7.74/7.23 #17: #a(a(a(a(x1)))) -> #b(b(b(b(x1)))) 7.74/7.23 #18: #a(a(a(a(x1)))) -> #b(b(b(x1))) 7.74/7.23 #19: #a(a(a(a(x1)))) -> #b(b(x1)) 7.74/7.23 #20: #a(a(a(a(x1)))) -> #b(x1) 7.74/7.23 Number of SCCs: 1, DPs: 5 7.74/7.23 SCC { #5..9 } 7.74/7.23 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded. 7.74/7.23 a w: max(x1 - 3, 0) 7.74/7.23 b w: 5 7.74/7.23 c w: max(x1 - 1, 0) 7.74/7.23 #a w: max(x1 - 1, 0) 7.74/7.23 #b w: max(x1 - 1, 0) 7.74/7.23 USABLE RULES: { 1..3 } 7.74/7.23 Removed DPs: #5..8 7.74/7.23 Number of SCCs: 1, DPs: 1 7.74/7.23 SCC { #9 } 7.74/7.23 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded. 7.74/7.23 a s: [1] p: 0 w: x1 + 5 7.74/7.23 b s: [1] p: 0 w: x1 + 1 7.74/7.23 c s: [] p: 0 w: x1 + 1 7.74/7.23 #a s: [1] p: 0 w: x1 7.74/7.23 #b s: [] p: 0 w: 0 7.74/7.23 USABLE RULES: { 2 } 7.74/7.23 Removed DPs: #9 7.74/7.23 Number of SCCs: 0, DPs: 0 7.74/7.23 EOF