1.60/1.65 MAYBE 1.60/1.66 Input TRS: 1.60/1.66 1: a(c(c(x1))) -> b(c(c(x1))) 1.60/1.66 2: c(a(c(x1))) -> b(b(a(x1))) 1.60/1.66 3: b(b(b(x1))) ->= c(c(a(x1))) 1.60/1.66 4: c(b(a(x1))) ->= b(a(a(x1))) 1.60/1.66 5: c(c(c(x1))) ->= b(c(a(x1))) 1.60/1.66 Number of strict rules: 2 1.60/1.66 Direct POLO(bPol) ... failed. 1.60/1.66 Uncurrying ... failed. 1.60/1.66 Dependency Pairs: 1.60/1.66 #1: #c(a(c(x1))) -> #b(b(a(x1))) 1.60/1.66 #2: #c(a(c(x1))) -> #b(a(x1)) 1.60/1.66 #3: #c(a(c(x1))) -> #a(x1) 1.60/1.66 #4: #c(c(c(x1))) ->? #b(c(a(x1))) 1.60/1.66 #5: #c(c(c(x1))) ->? #c(a(x1)) 1.60/1.66 #6: #c(c(c(x1))) ->? #a(x1) 1.60/1.66 #7: #b(b(b(x1))) ->? #c(c(a(x1))) 1.60/1.66 #8: #b(b(b(x1))) ->? #c(a(x1)) 1.60/1.66 #9: #b(b(b(x1))) ->? #a(x1) 1.60/1.66 #10: #a(c(c(x1))) -> #b(c(c(x1))) 1.60/1.66 #11: #c(b(a(x1))) ->? #b(a(a(x1))) 1.60/1.66 #12: #c(b(a(x1))) ->? #a(a(x1)) 1.60/1.66 Number of SCCs: 1, DPs: 12 1.60/1.66 SCC { #1..12 } 1.60/1.66 POLO(Sum)... succeeded. 1.60/1.66 a w: x1 + 2 1.60/1.66 b w: x1 + 2 1.60/1.66 c w: x1 + 2 1.60/1.66 #c w: x1 1.60/1.66 #a w: x1 + 1 1.60/1.66 #b w: x1 1.60/1.66 USABLE RULES: { 1..5 } 1.60/1.66 Removed DPs: #2 #3 #5 #6 #8..10 #12 1.60/1.66 Number of SCCs: 1, DPs: 3 1.60/1.66 SCC { #4 #7 #11 } 1.60/1.66 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. 1.60/1.66 a w: [0,0;1,0] * x1 + [0;1] 1.60/1.66 b w: [0,1;0,0] * x1 1.60/1.66 c w: [1,0;0,0] * x1 1.60/1.66 #c w: [1,0;0,0] * x1 1.60/1.66 #a w: [0;0] 1.60/1.66 #b w: [0;0] 1.60/1.66 USABLE RULES: { 1..5 } 1.60/1.66 Removed DPs: #11 1.60/1.66 Number of SCCs: 1, DPs: 2 1.60/1.66 SCC { #4 #7 } 1.60/1.66 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. 1.60/1.66 Finding a loop... failed. 1.60/1.66 EOF