2.10/2.18 MAYBE 2.10/2.18 Input TRS: 2.10/2.18 1: a(c(c(x1))) -> b(b(a(x1))) 2.10/2.18 2: b(c(b(x1))) -> a(a(a(x1))) 2.10/2.18 3: a(c(a(x1))) -> a(a(a(x1))) 2.10/2.18 4: a(a(b(x1))) ->= c(b(a(x1))) 2.10/2.18 5: b(a(a(x1))) ->= a(a(c(x1))) 2.10/2.18 Number of strict rules: 3 2.10/2.18 Direct POLO(bPol) ... failed. 2.10/2.18 Uncurrying ... failed. 2.10/2.18 Dependency Pairs: 2.10/2.18 #1: #b(c(b(x1))) -> #a(a(a(x1))) 2.10/2.18 #2: #b(c(b(x1))) -> #a(a(x1)) 2.10/2.18 #3: #b(c(b(x1))) -> #a(x1) 2.10/2.18 #4: #b(a(a(x1))) ->? #a(a(c(x1))) 2.10/2.18 #5: #b(a(a(x1))) ->? #a(c(x1)) 2.10/2.18 #6: #a(c(a(x1))) -> #a(a(a(x1))) 2.10/2.18 #7: #a(c(a(x1))) -> #a(a(x1)) 2.10/2.18 #8: #a(c(c(x1))) -> #b(b(a(x1))) 2.10/2.18 #9: #a(c(c(x1))) -> #b(a(x1)) 2.10/2.18 #10: #a(c(c(x1))) -> #a(x1) 2.10/2.18 #11: #a(a(b(x1))) ->? #b(a(x1)) 2.10/2.18 #12: #a(a(b(x1))) ->? #a(x1) 2.10/2.18 Number of SCCs: 1, DPs: 12 2.10/2.18 SCC { #1..12 } 2.10/2.18 POLO(Sum)... succeeded. 2.10/2.18 a w: x1 + 1 2.10/2.18 b w: x1 + 1 2.10/2.18 c w: x1 + 1 2.10/2.18 #a w: x1 2.10/2.18 #b w: x1 2.10/2.18 USABLE RULES: { 1..5 } 2.10/2.18 Removed DPs: #2 #3 #5 #7 #9..12 2.10/2.18 Number of SCCs: 1, DPs: 4 2.10/2.18 SCC { #1 #4 #6 #8 } 2.10/2.18 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. 2.10/2.18 Finding a loop... failed. 2.10/2.18 EOF