1.12/1.05 MAYBE 1.12/1.06 Input TRS: 1.12/1.06 1: a(a(b(b(x1)))) -> b(b(c(c(a(a(x1)))))) 1.12/1.06 2: b(b(c(c(x1)))) -> c(c(b(b(b(b(x1)))))) 1.12/1.06 3: a(a(c(c(x1)))) -> c(c(a(a(b(b(x1)))))) 1.12/1.06 Number of strict rules: 3 1.12/1.06 Direct POLO(bPol) ... failed. 1.12/1.06 Uncurrying ... failed. 1.12/1.06 Dependency Pairs: 1.12/1.06 #1: #b(b(c(c(x1)))) -> #b(b(b(b(x1)))) 1.12/1.06 #2: #b(b(c(c(x1)))) -> #b(b(b(x1))) 1.12/1.06 #3: #b(b(c(c(x1)))) -> #b(b(x1)) 1.12/1.06 #4: #b(b(c(c(x1)))) -> #b(x1) 1.12/1.06 #5: #a(a(c(c(x1)))) -> #a(a(b(b(x1)))) 1.12/1.06 #6: #a(a(c(c(x1)))) -> #a(b(b(x1))) 1.12/1.06 #7: #a(a(c(c(x1)))) -> #b(b(x1)) 1.12/1.06 #8: #a(a(c(c(x1)))) -> #b(x1) 1.12/1.06 #9: #a(a(b(b(x1)))) -> #b(b(c(c(a(a(x1)))))) 1.12/1.06 #10: #a(a(b(b(x1)))) -> #b(c(c(a(a(x1))))) 1.12/1.06 #11: #a(a(b(b(x1)))) -> #a(a(x1)) 1.12/1.06 #12: #a(a(b(b(x1)))) -> #a(x1) 1.12/1.06 Number of SCCs: 2, DPs: 7 1.12/1.06 SCC { #5 #11 #12 } 1.12/1.06 POLO(Sum)... succeeded. 1.12/1.06 a w: x1 + 1 1.12/1.06 b w: x1 1.12/1.06 c w: x1 1.12/1.06 #a w: x1 1.12/1.06 #b w: 0 1.12/1.06 USABLE RULES: { 1..3 } 1.12/1.06 Removed DPs: #12 1.12/1.06 Number of SCCs: 2, DPs: 6 1.12/1.06 SCC { #5 #11 } 1.12/1.06 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. 1.12/1.06 Finding a loop... failed. 1.12/1.06 EOF