1.17/1.24 MAYBE 1.17/1.24 Input TRS: 1.17/1.24 1: b(a(a(x1))) -> c(a(c(x1))) 1.17/1.24 2: a(c(b(x1))) -> c(a(c(x1))) 1.17/1.24 3: c(b(c(x1))) -> b(b(a(x1))) 1.17/1.24 4: a(b(c(x1))) -> b(c(b(x1))) 1.17/1.24 5: b(b(b(x1))) ->= c(c(a(x1))) 1.17/1.24 6: c(c(c(x1))) ->= b(b(c(x1))) 1.17/1.24 7: b(b(b(x1))) ->= b(b(c(x1))) 1.17/1.24 Number of strict rules: 4 1.17/1.24 Direct POLO(bPol) ... failed. 1.17/1.24 Uncurrying ... failed. 1.17/1.24 Dependency Pairs: 1.17/1.24 #1: #a(c(b(x1))) -> #c(a(c(x1))) 1.17/1.24 #2: #a(c(b(x1))) -> #a(c(x1)) 1.17/1.24 #3: #a(c(b(x1))) -> #c(x1) 1.17/1.24 #4: #c(c(c(x1))) ->? #b(b(c(x1))) 1.17/1.24 #5: #c(c(c(x1))) ->? #b(c(x1)) 1.17/1.24 #6: #b(b(b(x1))) ->? #b(b(c(x1))) 1.17/1.24 #7: #b(b(b(x1))) ->? #b(c(x1)) 1.17/1.24 #8: #b(b(b(x1))) ->? #c(x1) 1.17/1.24 #9: #b(b(b(x1))) ->? #c(c(a(x1))) 1.17/1.24 #10: #b(b(b(x1))) ->? #c(a(x1)) 1.17/1.24 #11: #b(b(b(x1))) ->? #a(x1) 1.17/1.24 #12: #c(b(c(x1))) -> #b(b(a(x1))) 1.17/1.24 #13: #c(b(c(x1))) -> #b(a(x1)) 1.17/1.24 #14: #c(b(c(x1))) -> #a(x1) 1.17/1.24 #15: #b(a(a(x1))) -> #c(a(c(x1))) 1.17/1.24 #16: #b(a(a(x1))) -> #a(c(x1)) 1.17/1.24 #17: #b(a(a(x1))) -> #c(x1) 1.17/1.24 #18: #a(b(c(x1))) -> #b(c(b(x1))) 1.17/1.24 #19: #a(b(c(x1))) -> #c(b(x1)) 1.17/1.24 #20: #a(b(c(x1))) -> #b(x1) 1.17/1.24 Number of SCCs: 1, DPs: 20 1.17/1.24 SCC { #1..20 } 1.17/1.24 POLO(Sum)... succeeded. 1.17/1.24 a w: x1 + 2 1.17/1.24 b w: x1 + 2 1.17/1.24 c w: x1 + 2 1.17/1.24 #c w: x1 1.17/1.24 #a w: x1 + 1 1.17/1.24 #b w: x1 1.17/1.24 USABLE RULES: { 1..7 } 1.17/1.24 Removed DPs: #1..3 #5 #7 #8 #10 #11 #13 #14 #16..20 1.17/1.24 Number of SCCs: 1, DPs: 4 1.17/1.24 SCC { #4 #6 #9 #12 } 1.17/1.24 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. 1.17/1.24 Finding a loop... failed. 1.17/1.24 EOF